kilobytes = 57.4672731706788 q = 3 m = 7 n = 1220 s = 0 t = 24 u = 48 k = 884 w = 36 ciphertext = [0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol336 = [1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol337 = [2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2] pubkeycol338 = [0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol339 = [0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0] pubkeycol340 = [0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol341 = [0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol342 = [2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2] pubkeycol343 = [2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol344 = [2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2] pubkeycol345 = [1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2] pubkeycol346 = [2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol347 = [2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol348 = [1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1] pubkeycol349 = [0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol350 = [0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol351 = [2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol352 = [0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2] pubkeycol353 = [2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol354 = [2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol355 = [1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2] pubkeycol356 = [2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol357 = [1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1] pubkeycol358 = [2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol359 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol360 = [0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0] pubkeycol361 = [1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2] pubkeycol362 = [1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2] pubkeycol363 = [0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0] pubkeycol364 = [2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol365 = [0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2] pubkeycol366 = [2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol367 = [1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol368 = [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol369 = [2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol370 = [0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2] pubkeycol371 = [0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol372 = [1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol373 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol374 = [2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol375 = [2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2] pubkeycol376 = [1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0] pubkeycol377 = [1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol378 = [0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol379 = [1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol380 = [1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol381 = [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol382 = [2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol383 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol384 = [0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol385 = [0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol386 = [1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol387 = [2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol388 = [1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol389 = [2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol390 = [0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol391 = [0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol392 = [2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol393 = [1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0] pubkeycol394 = [1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol395 = [1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2] pubkeycol396 = [2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol397 = [1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol398 = [0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol399 = [1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1] pubkeycol400 = [2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol401 = [0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol402 = [1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol403 = [1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol404 = [1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol405 = [1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1] pubkeycol406 = [1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol407 = [1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol408 = [2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol409 = [0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol410 = [0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol411 = [0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol412 = [0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol413 = [1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol414 = [1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol415 = [0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol416 = [1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol417 = [2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol418 = [0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0] pubkeycol419 = [1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol420 = [0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol421 = [1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol422 = [1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol423 = [2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol424 = [1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0] pubkeycol425 = [2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1] pubkeycol426 = [2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol427 = [0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol428 = [0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol429 = [0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol430 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol431 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol432 = [1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol433 = [0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol434 = [1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0] pubkeycol435 = [0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1] pubkeycol436 = [2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol437 = [1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol438 = [2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2] pubkeycol439 = [1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol440 = [2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1] pubkeycol441 = [1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol442 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol443 = [2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol444 = [1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol445 = [2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol446 = [1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol447 = [1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol448 = [2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0] pubkeycol449 = [2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol450 = [0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2] pubkeycol451 = [2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol452 = [2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol453 = [1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol454 = [2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol455 = [1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol456 = [1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol457 = [2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol458 = [2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol459 = [0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol460 = [1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol461 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol462 = [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol463 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol464 = [0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol465 = [0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol466 = [2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol467 = [2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol468 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol469 = [0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0] pubkeycol470 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol471 = [2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol472 = [0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol473 = [0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol474 = [1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol475 = [1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2] pubkeycol476 = [2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol477 = [1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol478 = [0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol479 = [1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1] pubkeycol480 = [0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol481 = [1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol482 = [2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2] pubkeycol483 = [0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol484 = [0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol485 = [2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol486 = [1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol487 = [1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1] pubkeycol488 = [1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol489 = [0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol490 = [1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol491 = [2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol492 = [0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1] pubkeycol493 = [2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol494 = [0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2] pubkeycol495 = [1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol496 = [0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol497 = [0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol498 = [0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol499 = [1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol500 = [0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol501 = [1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol502 = [0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol503 = [0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol504 = [2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol505 = [2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol506 = [1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol507 = [0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol508 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol509 = [1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol510 = [2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol511 = [2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2] pubkeycol512 = [0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol513 = [2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol514 = [0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol515 = [1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol516 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol517 = [0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol518 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol519 = [0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol520 = [1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol521 = [0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1] pubkeycol522 = [1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol523 = [1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol524 = [0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol525 = [2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol526 = [2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol527 = [0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol528 = [2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol529 = [2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol530 = [0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2] pubkeycol531 = [0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2] pubkeycol532 = [2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol533 = [0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol534 = [1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol535 = [0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol536 = [2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol537 = [1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol538 = [0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol539 = [2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol540 = [2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol541 = [2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol542 = [2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol543 = [2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol544 = [1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol545 = [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol546 = [0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0] pubkeycol547 = [1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol548 = [2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol549 = [1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol550 = [1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol551 = [0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0] pubkeycol552 = [0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol553 = [1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol554 = [1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol555 = [1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0] pubkeycol556 = [0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1] pubkeycol557 = [0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2] pubkeycol558 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol559 = [1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol560 = [0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol561 = [2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol562 = [0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol563 = [0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol564 = [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol565 = [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol566 = [1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol567 = [2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol568 = [0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1] pubkeycol569 = [1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol570 = [2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol571 = [0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol572 = [0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol573 = [0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol574 = [1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2] pubkeycol575 = [1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol576 = [1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol577 = [2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol578 = [1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol579 = [2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol580 = [2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol581 = [2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol582 = [0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1] pubkeycol583 = [2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol584 = [0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol585 = [1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0] pubkeycol586 = [2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol587 = [0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol588 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol589 = [2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol590 = [2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol591 = [0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol592 = [1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol593 = [2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol594 = [1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol595 = [0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol596 = [2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1] pubkeycol597 = [2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0] pubkeycol598 = [2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol599 = [2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2] pubkeycol600 = [0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol601 = [2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol602 = [0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol603 = [2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol604 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol605 = [0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol606 = [0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol607 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2] pubkeycol608 = [2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol609 = [0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol610 = [1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol611 = [1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol612 = [0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol613 = [2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol614 = [0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2] pubkeycol615 = [0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol616 = [2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol617 = [1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol618 = [1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol619 = [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol620 = [0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol621 = [0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol622 = [0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0] pubkeycol623 = [1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol624 = [0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2] pubkeycol625 = [2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol626 = [0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol627 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol628 = [0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2] pubkeycol629 = [2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol630 = [2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol631 = [1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol632 = [2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol633 = [2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1] pubkeycol634 = [2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol635 = [0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1] pubkeycol636 = [1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol637 = [0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0] pubkeycol638 = [2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol639 = [0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol640 = [2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol641 = [1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol642 = [1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol643 = [2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol644 = [0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol645 = [1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol646 = [0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol647 = [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2] pubkeycol648 = [0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol649 = [1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol650 = [1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol651 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol652 = [1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol653 = [0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol654 = [0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2] pubkeycol655 = [1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol656 = [0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0] pubkeycol657 = [1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol658 = [2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1] pubkeycol659 = [1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol660 = [2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol661 = [1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol662 = [1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol663 = [0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol664 = [1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol665 = [2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol666 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol667 = [1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol668 = [2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol669 = [1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol670 = [1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol671 = [1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol672 = [2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0] pubkeycol673 = [0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol674 = [1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol675 = [0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol676 = [0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol677 = [2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol678 = [2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol679 = [1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0] pubkeycol680 = [2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol681 = [1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol682 = [2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol683 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2] pubkeycol684 = [1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2] pubkeycol685 = [1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2] pubkeycol686 = [1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol687 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol688 = [2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol689 = [1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol690 = [1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol691 = [2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol692 = [0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol693 = [1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol694 = [0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol695 = [2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol696 = [1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol697 = [1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol698 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol699 = [1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol700 = [0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1] pubkeycol701 = [1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol702 = [2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol703 = [0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1] pubkeycol704 = [0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol705 = [0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2] pubkeycol706 = [1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0] pubkeycol707 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol708 = [0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1] pubkeycol709 = [2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol710 = [2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol711 = [2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0] pubkeycol712 = [2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2] pubkeycol713 = [2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0] pubkeycol714 = [2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0] pubkeycol715 = [1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol716 = [1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1] pubkeycol717 = [2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol718 = [2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol719 = [1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2] pubkeycol720 = [2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1] pubkeycol721 = [2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol722 = [0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0] pubkeycol723 = [2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol724 = [0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol725 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol726 = [2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol727 = [1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol728 = [2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol729 = [1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol730 = [1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol731 = [0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol732 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol733 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol734 = [1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol735 = [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol736 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol737 = [1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol738 = [2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol739 = [1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol740 = [1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0] pubkeycol741 = [1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol742 = [0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol743 = [0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol744 = [2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol745 = [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol746 = [1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol747 = [2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol748 = [0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0] pubkeycol749 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol750 = [2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol751 = [2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol752 = [2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol753 = [0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol754 = [2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol755 = [1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol756 = [2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol757 = [0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol758 = [1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol759 = [0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0] pubkeycol760 = [2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol761 = [1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol762 = [1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol763 = [1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol764 = [0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol765 = [2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1] pubkeycol766 = [1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol767 = [2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol768 = [2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol769 = [2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol770 = [1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol771 = [0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol772 = [2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1] pubkeycol773 = [2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol774 = [1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol775 = [1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol776 = [1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2] pubkeycol777 = [0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol778 = [0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1] pubkeycol779 = [2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2] pubkeycol780 = [0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol781 = [1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2] pubkeycol782 = [1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol783 = [2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol784 = [2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol785 = [2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol786 = [1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol787 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol788 = [2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol789 = [2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1] pubkeycol790 = [2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol791 = [1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol792 = [1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol793 = [1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2] pubkeycol794 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol795 = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol796 = [2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol797 = [1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol798 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol799 = [1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol800 = [1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol801 = [0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol802 = [1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol803 = [1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol804 = [2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol805 = [1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2] pubkeycol806 = [0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol807 = [0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol808 = [1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol809 = [0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2] pubkeycol810 = [1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol811 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol812 = [1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol813 = [1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol814 = [1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol815 = [2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol816 = [2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol817 = [2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol818 = [2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol819 = [1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol820 = [2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol821 = [1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol822 = [0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol823 = [0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol824 = [1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol825 = [1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol826 = [0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol827 = [1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol828 = [1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol829 = [1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol830 = [0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol831 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol832 = [1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol833 = [0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol834 = [1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol835 = [2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol836 = [2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2] pubkeycol837 = [0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol838 = [1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0] pubkeycol839 = [1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0] pubkeycol840 = [0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol841 = [0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol842 = [0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1] pubkeycol843 = [2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol844 = [2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol845 = [2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol846 = [1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol847 = [2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol848 = [2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol849 = [2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0] pubkeycol850 = [1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol851 = [2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol852 = [2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol853 = [0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol854 = [0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1] pubkeycol855 = [2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol856 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol857 = [2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol858 = [2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol859 = [0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol860 = [1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol861 = [2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol862 = [0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol863 = [1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol864 = [2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol865 = [0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol866 = [0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol867 = [0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol868 = [2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol869 = [2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol870 = [0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol871 = [1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol872 = [2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1] pubkeycol873 = [2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol874 = [0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1] pubkeycol875 = [0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol876 = [2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol877 = [0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol878 = [0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0] pubkeycol879 = [0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol880 = [0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol881 = [1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1] pubkeycol882 = [0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol883 = [2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol884 = [2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol885 = [1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol886 = [2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1] pubkeycol887 = [1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol888 = [0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol889 = [2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol890 = [2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol891 = [2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1] pubkeycol892 = [2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol893 = [1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol894 = [1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol895 = [1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1] pubkeycol896 = [2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2] pubkeycol897 = [2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol898 = [1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol899 = [1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0] pubkeycol900 = [1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol901 = [1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2] pubkeycol902 = [2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol903 = [2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2] pubkeycol904 = [1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol905 = [2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol906 = [2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol907 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol908 = [1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol909 = [0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol910 = [2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol911 = [1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol912 = [1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0] pubkeycol913 = [0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol914 = [1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol915 = [1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol916 = [0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol917 = [0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol918 = [2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol919 = [1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0] pubkeycol920 = [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol921 = [1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol922 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol923 = [1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol924 = [1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol925 = [0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol926 = [1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol927 = [1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0] pubkeycol928 = [1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol929 = [0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol930 = [2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol931 = [2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol932 = [2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol933 = [0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0] pubkeycol934 = [0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol935 = [1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol936 = [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol937 = [0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol938 = [2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol939 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol940 = [1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol941 = [0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0] pubkeycol942 = [0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol943 = [1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1] pubkeycol944 = [0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2] pubkeycol945 = [1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol946 = [2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol947 = [0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2] pubkeycol948 = [0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol949 = [2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol950 = [0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol951 = [2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol952 = [2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol953 = [1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol954 = [0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol955 = [0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol956 = [1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol957 = [1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol958 = [1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol959 = [1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol960 = [0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol961 = [0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol962 = [2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol963 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol964 = [0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol965 = [2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol966 = [1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol967 = [0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol968 = [1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol969 = [1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol970 = [0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol971 = [0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol972 = [1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol973 = [2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol974 = [1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1] pubkeycol975 = [0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol976 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol977 = [0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol978 = [1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol979 = [1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol980 = [2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol981 = [1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol982 = [0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol983 = [2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol984 = [0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol985 = [0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol986 = [1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol987 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol988 = [0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol989 = [0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol990 = [1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol991 = [2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol992 = [2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol993 = [1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol994 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol995 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol996 = [0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol997 = [2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol998 = [2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol999 = [0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol1000 = [1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol1001 = [1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1] pubkeycol1002 = [0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol1003 = [0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol1004 = [1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol1005 = [1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol1006 = [2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol1007 = [2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol1008 = [0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol1009 = [1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol1010 = [2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0] pubkeycol1011 = [0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2] pubkeycol1012 = [1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol1013 = [0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol1014 = [1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol1015 = [2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1016 = [1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol1017 = [2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol1018 = [0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol1019 = [2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1] pubkeycol1020 = [0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol1021 = [1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol1022 = [1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0] pubkeycol1023 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol1024 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol1025 = [2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0] pubkeycol1026 = [1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol1027 = [2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol1028 = [1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol1029 = [0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol1030 = [2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol1031 = [1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol1032 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2] pubkeycol1033 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol1034 = [0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol1035 = [2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol1036 = [0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol1037 = [2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol1038 = [0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol1039 = [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol1040 = [1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol1041 = [2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol1042 = [2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol1043 = [0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol1044 = [0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2] pubkeycol1045 = [1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol1046 = [0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol1047 = [0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol1048 = [1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol1049 = [0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol1050 = [0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol1051 = [1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol1052 = [0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol1053 = [2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2] pubkeycol1054 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2] pubkeycol1055 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol1056 = [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1] pubkeycol1057 = [2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol1058 = [1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol1059 = [2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol1060 = [0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol1061 = [2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol1062 = [0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol1063 = [0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2] pubkeycol1064 = [0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2] pubkeycol1065 = [2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol1066 = [2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol1067 = [2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1] pubkeycol1068 = [0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol1069 = [2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol1070 = [2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol1071 = [2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol1072 = [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol1073 = [0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol1074 = [0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1] pubkeycol1075 = [1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol1076 = [2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0] pubkeycol1077 = [1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol1078 = [1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol1079 = [2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol1080 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol1081 = [2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol1082 = [2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol1083 = [1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol1084 = [1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol1085 = [1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2] pubkeycol1086 = [2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1] pubkeycol1087 = [0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol1088 = [2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol1089 = [0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol1090 = [1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1] pubkeycol1091 = [2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol1092 = [1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol1093 = [0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0] pubkeycol1094 = [2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol1095 = [2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol1096 = [1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol1097 = [2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol1098 = [0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol1099 = [2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol1100 = [2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1] pubkeycol1101 = [2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol1102 = [1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol1103 = [1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol1104 = [2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1] pubkeycol1105 = [1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol1106 = [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1] pubkeycol1107 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol1108 = [2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol1109 = [0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol1110 = [1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol1111 = [0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol1112 = [2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0] pubkeycol1113 = [1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol1114 = [2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol1115 = [2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol1116 = [2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol1117 = [2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol1118 = [1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol1119 = [1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0] pubkeycol1120 = [0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol1121 = [2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol1122 = [1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol1123 = [2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1] pubkeycol1124 = [0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol1125 = [1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol1126 = [2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol1127 = [1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol1128 = [0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol1129 = [0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol1130 = [0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol1131 = [1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol1132 = [0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol1133 = [0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol1134 = [0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol1135 = [0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol1136 = [0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol1137 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol1138 = [1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol1139 = [1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol1140 = [0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol1141 = [2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol1142 = [0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol1143 = [1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol1144 = [0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol1145 = [2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0] pubkeycol1146 = [0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol1147 = [0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol1148 = [1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol1149 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol1150 = [1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol1151 = [1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol1152 = [2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol1153 = [0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol1154 = [1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2] pubkeycol1155 = [1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol1156 = [1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol1157 = [1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol1158 = [0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol1159 = [0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol1160 = [1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol1161 = [2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2] pubkeycol1162 = [1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol1163 = [2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol1164 = [2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2] pubkeycol1165 = [2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol1166 = [1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2] pubkeycol1167 = [0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol1168 = [1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0] pubkeycol1169 = [2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol1170 = [0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0] pubkeycol1171 = [0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol1172 = [0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol1173 = [0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1174 = [2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol1175 = [0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol1176 = [1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol1177 = [2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol1178 = [1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol1179 = [1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol1180 = [0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2] pubkeycol1181 = [1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol1182 = [2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol1183 = [1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol1184 = [1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol1185 = [0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol1186 = [2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol1187 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol1188 = [0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol1189 = [2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol1190 = [0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol1191 = [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol1192 = [1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol1193 = [2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol1194 = [0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol1195 = [1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol1196 = [1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol1197 = [2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol1198 = [0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol1199 = [0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol1200 = [2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol1201 = [0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0] pubkeycol1202 = [2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol1203 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol1204 = [1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol1205 = [0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol1206 = [1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0] pubkeycol1207 = [1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol1208 = [1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0] pubkeycol1209 = [1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1] pubkeycol1210 = [1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2] pubkeycol1211 = [0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol1212 = [1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol1213 = [2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1] pubkeycol1214 = [2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol1215 = [1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol1216 = [2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol1217 = [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol1218 = [2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol1219 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2]