kilobytes = 75.9946180277415 q = 3 m = 7 n = 1505 s = 0 t = 24 u = 48 k = 1169 w = 36 ciphertext = [2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol336 = [0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol337 = [2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol338 = [1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol339 = [1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol340 = [0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol341 = [0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol342 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol343 = [2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol344 = [1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol345 = [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol346 = [2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol347 = [2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol348 = [1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol349 = [1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol350 = [0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol351 = [2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol352 = [1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol353 = [0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol354 = [1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1] pubkeycol355 = [0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol356 = [1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol357 = [0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol358 = [1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0] pubkeycol359 = [2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1] pubkeycol360 = [0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol361 = [2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol362 = [1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2] pubkeycol363 = [2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol364 = [0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol365 = [2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2] pubkeycol366 = [1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol367 = [0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol368 = [1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2] pubkeycol369 = [1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0] pubkeycol370 = [2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol371 = [1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol372 = [2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol373 = [1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol374 = [2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol375 = [1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol376 = [1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol377 = [1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2] pubkeycol378 = [2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1] pubkeycol379 = [1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol380 = [2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol381 = [1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol382 = [2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol383 = [0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0] pubkeycol384 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol385 = [1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1] pubkeycol386 = [0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol387 = [0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol388 = [1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0] pubkeycol389 = [1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol390 = [0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol391 = [0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol392 = [0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol393 = [1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0] pubkeycol394 = [0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol395 = [1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol396 = [1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1] pubkeycol397 = [0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol398 = [0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol399 = [0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol400 = [1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol401 = [1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol402 = [2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol403 = [0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol404 = [2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol405 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol406 = [1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol407 = [2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol408 = [0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2] pubkeycol409 = [0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol410 = [2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2] pubkeycol411 = [0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol412 = [2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol413 = [2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol414 = [1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol415 = [2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2] pubkeycol416 = [1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol417 = [1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol418 = [1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol419 = [0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol420 = [2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1] pubkeycol421 = [2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol422 = [2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol423 = [0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol424 = [0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol425 = [1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0] pubkeycol426 = [2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol427 = [2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2] pubkeycol428 = [0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0] pubkeycol429 = [0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol430 = [1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol431 = [2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol432 = [0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol433 = [1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol434 = [1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol435 = [1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol436 = [2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol437 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol438 = [2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol439 = [2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol440 = [2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol441 = [1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol442 = [1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol443 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol444 = [1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol445 = [0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol446 = [1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol447 = [0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol448 = [0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol449 = [1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol450 = [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2] pubkeycol451 = [0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol452 = [0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol453 = [2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol454 = [1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2] pubkeycol455 = [2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol456 = [0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1] pubkeycol457 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol458 = [1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol459 = [2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol460 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol461 = [1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0] pubkeycol462 = [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol463 = [1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol464 = [0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1] pubkeycol465 = [1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol466 = [0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol467 = [0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol468 = [2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1] pubkeycol469 = [2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol470 = [0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1] pubkeycol471 = [1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol472 = [2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2] pubkeycol473 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol474 = [2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0] pubkeycol475 = [2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol476 = [1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0] pubkeycol477 = [1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol478 = [0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2] pubkeycol479 = [2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol480 = [0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol481 = [2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol482 = [0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol483 = [0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol484 = [0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2] pubkeycol485 = [0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol486 = [0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol487 = [1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol488 = [1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol489 = [2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol490 = [1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0] pubkeycol491 = [0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0] pubkeycol492 = [1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2] pubkeycol493 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol494 = [1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol495 = [2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol496 = [2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol497 = [0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol498 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0] pubkeycol499 = [2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2] pubkeycol500 = [2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol501 = [0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol502 = [2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol503 = [0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol504 = [2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol505 = [1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2] pubkeycol506 = [0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol507 = [0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol508 = [0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1] pubkeycol509 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol510 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol511 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol512 = [0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol513 = [1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol514 = [1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol515 = [2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol516 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol517 = [1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1] pubkeycol518 = [2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol519 = [1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol520 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol521 = [0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol522 = [1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol523 = [1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol524 = [1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol525 = [2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol526 = [1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2] pubkeycol527 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1] pubkeycol528 = [2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol529 = [1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1] pubkeycol530 = [2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol531 = [1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol532 = [1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol533 = [2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol534 = [2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol535 = [0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol536 = [1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol537 = [2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol538 = [1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0] pubkeycol539 = [2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol540 = [2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol541 = [2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol542 = [1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol543 = [2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol544 = [0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol545 = [2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol546 = [1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol547 = [0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol548 = [2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol549 = [1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol550 = [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol551 = [2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol552 = [1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0] pubkeycol553 = [2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol554 = [2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol555 = [2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol556 = [2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol557 = [2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1] pubkeycol558 = [0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol559 = [1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol560 = [1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0] pubkeycol561 = [1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol562 = [2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol563 = [1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol564 = [0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol565 = [2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol566 = [0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol567 = [0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol568 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2] pubkeycol569 = [1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol570 = [0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol571 = [2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol572 = [0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol573 = [0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol574 = [1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol575 = [2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol576 = [2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol577 = [2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol578 = [2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol579 = [0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol580 = [2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol581 = [0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol582 = [1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0] pubkeycol583 = [1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol584 = [1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol585 = [1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol586 = [0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1] pubkeycol587 = [0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2] pubkeycol588 = [0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol589 = [0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0] pubkeycol590 = [2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol591 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol592 = [1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol593 = [2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol594 = [2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol595 = [2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2] pubkeycol596 = [1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol597 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol598 = [2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol599 = [1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol600 = [1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol601 = [1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol602 = [2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol603 = [1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol604 = [1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol605 = [1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0] pubkeycol606 = [0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol607 = [2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol608 = [1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol609 = [1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0] pubkeycol610 = [2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol611 = [2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol612 = [2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1] pubkeycol613 = [2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol614 = [1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol615 = [2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol616 = [1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1] pubkeycol617 = [1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol618 = [0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2] pubkeycol619 = [0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol620 = [0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol621 = [1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol622 = [0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol623 = [2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol624 = [2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0] pubkeycol625 = [0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol626 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol627 = [2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol628 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol629 = [0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol630 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol631 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol632 = [0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol633 = [1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol634 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol635 = [0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol636 = [2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0] pubkeycol637 = [1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol638 = [0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol639 = [0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol640 = [1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol641 = [2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol642 = [1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol643 = [2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol644 = [2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol645 = [1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol646 = [1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol647 = [1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol648 = [0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol649 = [2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2] pubkeycol650 = [0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol651 = [1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol652 = [0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol653 = [0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol654 = [2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1] pubkeycol655 = [2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2] pubkeycol656 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol657 = [2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol658 = [1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol659 = [0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol660 = [0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol661 = [1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol662 = [2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1] pubkeycol663 = [2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol664 = [0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol665 = [1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol666 = [1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol667 = [2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol668 = [2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol669 = [0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol670 = [1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1] pubkeycol671 = [2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0] pubkeycol672 = [2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2] pubkeycol673 = [2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol674 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol675 = [1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol676 = [1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol677 = [1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol678 = [1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol679 = [0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol680 = [0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol681 = [2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol682 = [1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol683 = [1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol684 = [0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol685 = [2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1] pubkeycol686 = [1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol687 = [2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol688 = [2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol689 = [1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol690 = [1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol691 = [0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1] pubkeycol692 = [2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0] pubkeycol693 = [1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol694 = [0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol695 = [1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol696 = [2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0] pubkeycol697 = [2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol698 = [1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol699 = [2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol700 = [1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol701 = [1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1] pubkeycol702 = [2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol703 = [2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol704 = [0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol705 = [0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1] pubkeycol706 = [1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0] pubkeycol707 = [0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol708 = [0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol709 = [1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol710 = [2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol711 = [1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1] pubkeycol712 = [2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol713 = [2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0] pubkeycol714 = [1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol715 = [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol716 = [0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol717 = [2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2] pubkeycol718 = [2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol719 = [0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol720 = [1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol721 = [1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol722 = [2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0] pubkeycol723 = [1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol724 = [2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol725 = [2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol726 = [2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1] pubkeycol727 = [2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol728 = [2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0] pubkeycol729 = [0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol730 = [2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol731 = [2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol732 = [2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1] pubkeycol733 = [0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol734 = [0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol735 = [0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol736 = [2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0] pubkeycol737 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol738 = [1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol739 = [0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol740 = [2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol741 = [1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol742 = [0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol743 = [2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol744 = [1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol745 = [0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol746 = [1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol747 = [1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol748 = [0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1] pubkeycol749 = [0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol750 = [1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol751 = [1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol752 = [1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol753 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2] pubkeycol754 = [1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol755 = [0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol756 = [1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol757 = [1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol758 = [2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol759 = [1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0] pubkeycol760 = [1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol761 = [1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol762 = [0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol763 = [0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol764 = [2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol765 = [2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0] pubkeycol766 = [1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1] pubkeycol767 = [1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol768 = [2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2] pubkeycol769 = [1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol770 = [1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol771 = [1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol772 = [1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol773 = [0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0] pubkeycol774 = [1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1] pubkeycol775 = [1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol776 = [1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol777 = [2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol778 = [1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol779 = [2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol780 = [0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol781 = [0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol782 = [0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol783 = [1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol784 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2] pubkeycol785 = [0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol786 = [2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol787 = [0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol788 = [2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol789 = [1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol790 = [2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2] pubkeycol791 = [2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol792 = [2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol793 = [0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2] pubkeycol794 = [2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol795 = [0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol796 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol797 = [0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol798 = [2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol799 = [0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol800 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol801 = [1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol802 = [2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1] pubkeycol803 = [1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol804 = [1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1] pubkeycol805 = [0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2] pubkeycol806 = [2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1] pubkeycol807 = [0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol808 = [0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol809 = [0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1] pubkeycol810 = [2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol811 = [2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol812 = [1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol813 = [1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1] pubkeycol814 = [2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol815 = [1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol816 = [0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0] pubkeycol817 = [2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol818 = [2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol819 = [0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol820 = [2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol821 = [1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol822 = [1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol823 = [2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1] pubkeycol824 = [2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol825 = [2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol826 = [1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol827 = [2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol828 = [1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol829 = [1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol830 = [2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol831 = [0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol832 = [0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol833 = [2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol834 = [2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0] pubkeycol835 = [1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol836 = [1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol837 = [2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol838 = [2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol839 = [1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol840 = [2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol841 = [0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2] pubkeycol842 = [2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0] pubkeycol843 = [2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol844 = [1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol845 = [2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1] pubkeycol846 = [0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0] pubkeycol847 = [0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol848 = [2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol849 = [1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol850 = [1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol851 = [2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol852 = [0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol853 = [1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol854 = [2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol855 = [0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0] pubkeycol856 = [2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1] pubkeycol857 = [2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol858 = [2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol859 = [1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol860 = [2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol861 = [0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0] pubkeycol862 = [2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1] pubkeycol863 = [2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol864 = [1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2] pubkeycol865 = [0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol866 = [0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol867 = [1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol868 = [1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol869 = [1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol870 = [0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol871 = [0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2] pubkeycol872 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol873 = [0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol874 = [0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol875 = [2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol876 = [1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0] pubkeycol877 = [2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol878 = [0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol879 = [2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol880 = [2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol881 = [0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol882 = [0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol883 = [2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol884 = [0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol885 = [2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol886 = [1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1] pubkeycol887 = [0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol888 = [0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol889 = [1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol890 = [1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1] pubkeycol891 = [1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol892 = [2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol893 = [2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol894 = [2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0] pubkeycol895 = [2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol896 = [0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2] pubkeycol897 = [0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol898 = [1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol899 = [0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol900 = [0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol901 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol902 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol903 = [1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol904 = [0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol905 = [0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol906 = [1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol907 = [0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol908 = [2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol909 = [0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0] pubkeycol910 = [0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol911 = [0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol912 = [1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0] pubkeycol913 = [2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol914 = [0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol915 = [2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol916 = [1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol917 = [2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol918 = [2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2] pubkeycol919 = [0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2] pubkeycol920 = [1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol921 = [2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol922 = [2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2] pubkeycol923 = [0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol924 = [2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol925 = [1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol926 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol927 = [2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol928 = [2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol929 = [1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol930 = [2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol931 = [2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0] pubkeycol932 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1] pubkeycol933 = [2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1] pubkeycol934 = [0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol935 = [0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol936 = [0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0] pubkeycol937 = [2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2] pubkeycol938 = [2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2] pubkeycol939 = [2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol940 = [1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol941 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol942 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol943 = [2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol944 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol945 = [2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0] pubkeycol946 = [1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol947 = [1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0] pubkeycol948 = [2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol949 = [0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol950 = [0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol951 = [0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol952 = [0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol953 = [0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol954 = [1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol955 = [1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol956 = [1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol957 = [1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol958 = [2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2] pubkeycol959 = [1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol960 = [2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol961 = [2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol962 = [2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol963 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol964 = [2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol965 = [1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0] pubkeycol966 = [2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol967 = [1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol968 = [2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2] pubkeycol969 = [2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol970 = [2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol971 = [1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol972 = [0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol973 = [2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol974 = [2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol975 = [2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol976 = [1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol977 = [1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol978 = [1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol979 = [0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol980 = [0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol981 = [2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol982 = [0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol983 = [2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol984 = [2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol985 = [1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0] pubkeycol986 = [2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2] pubkeycol987 = [1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol988 = [1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1] pubkeycol989 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol990 = [0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol991 = [2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol992 = [2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol993 = [0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1] pubkeycol994 = [0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol995 = [2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol996 = [2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol997 = [1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol998 = [2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol999 = [1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol1000 = [0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol1001 = [0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol1002 = [2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol1003 = [1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol1004 = [1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1005 = [0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol1006 = [0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0] pubkeycol1007 = [0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol1008 = [0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol1009 = [0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0] pubkeycol1010 = [0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol1011 = [2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0] pubkeycol1012 = [0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol1013 = [2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol1014 = [0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol1015 = [2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol1016 = [1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1017 = [0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2] pubkeycol1018 = [0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol1019 = [1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol1020 = [1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol1021 = [2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol1022 = [2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol1023 = [0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol1024 = [2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol1025 = [0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol1026 = [1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2] pubkeycol1027 = [2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol1028 = [1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol1029 = [2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol1030 = [0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol1031 = [1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol1032 = [0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2] pubkeycol1033 = [2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol1034 = [0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol1035 = [1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol1036 = [0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol1037 = [1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2] pubkeycol1038 = [1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol1039 = [2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol1040 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol1041 = [2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol1042 = [0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol1043 = [2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol1044 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol1045 = [2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol1046 = [2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol1047 = [1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol1048 = [0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol1049 = [1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1] pubkeycol1050 = [2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol1051 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0] pubkeycol1052 = [1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol1053 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol1054 = [1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol1055 = [2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol1056 = [0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol1057 = [2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol1058 = [0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol1059 = [1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol1060 = [1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol1061 = [2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2] pubkeycol1062 = [0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol1063 = [0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1064 = [1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol1065 = [1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1] pubkeycol1066 = [0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol1067 = [2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol1068 = [2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol1069 = [0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol1070 = [2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol1071 = [1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol1072 = [1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol1073 = [2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2] pubkeycol1074 = [2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol1075 = [0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol1076 = [1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol1077 = [0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol1078 = [0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol1079 = [1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol1080 = [0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol1081 = [2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol1082 = [0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2] pubkeycol1083 = [1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol1084 = [2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol1085 = [1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2] pubkeycol1086 = [0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol1087 = [0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0] pubkeycol1088 = [2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0] pubkeycol1089 = [0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol1090 = [0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol1091 = [1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol1092 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol1093 = [2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol1094 = [0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol1095 = [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol1096 = [0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol1097 = [0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol1098 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol1099 = [0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol1100 = [2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol1101 = [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol1102 = [1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol1103 = [0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol1104 = [2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1105 = [1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol1106 = [1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2] pubkeycol1107 = [2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol1108 = [0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol1109 = [2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0] pubkeycol1110 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2] pubkeycol1111 = [1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol1112 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol1113 = [0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol1114 = [2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol1115 = [0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol1116 = [0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0] pubkeycol1117 = [2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol1118 = [2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol1119 = [0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol1120 = [2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1121 = [2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol1122 = [1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol1123 = [2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol1124 = [1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2] pubkeycol1125 = [1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0] pubkeycol1126 = [1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol1127 = [0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol1128 = [2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol1129 = [1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol1130 = [2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol1131 = [0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol1132 = [2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1] pubkeycol1133 = [0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol1134 = [1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol1135 = [1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2] pubkeycol1136 = [0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol1137 = [0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol1138 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol1139 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0] pubkeycol1140 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol1141 = [1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol1142 = [2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol1143 = [0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0] pubkeycol1144 = [0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol1145 = [0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol1146 = [2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol1147 = [1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol1148 = [2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol1149 = [2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol1150 = [1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol1151 = [1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1] pubkeycol1152 = [2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol1153 = [1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2] pubkeycol1154 = [0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol1155 = [2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol1156 = [0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol1157 = [2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol1158 = [2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol1159 = [0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol1160 = [1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol1161 = [2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol1162 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol1163 = [0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol1164 = [2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol1165 = [1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol1166 = [2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0] pubkeycol1167 = [1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol1168 = [1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol1169 = [1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1] pubkeycol1170 = [2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1171 = [2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol1172 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0] pubkeycol1173 = [2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1] pubkeycol1174 = [2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol1175 = [0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0] pubkeycol1176 = [2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0] pubkeycol1177 = [1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol1178 = [2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol1179 = [0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol1180 = [1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol1181 = [0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol1182 = [1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1183 = [1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol1184 = [2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0] pubkeycol1185 = [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol1186 = [1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol1187 = [1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol1188 = [2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol1189 = [0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol1190 = [2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol1191 = [1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol1192 = [0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol1193 = [0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol1194 = [1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol1195 = [1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol1196 = [1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol1197 = [1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol1198 = [2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0] pubkeycol1199 = [0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol1200 = [1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol1201 = [1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol1202 = [2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol1203 = [1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol1204 = [2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol1205 = [1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol1206 = [2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol1207 = [0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol1208 = [2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol1209 = [0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1] pubkeycol1210 = [1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol1211 = [0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol1212 = [2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol1213 = [2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0] pubkeycol1214 = [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol1215 = [0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol1216 = [2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0] pubkeycol1217 = [2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1] pubkeycol1218 = [0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1] pubkeycol1219 = [2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1220 = [2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol1221 = [1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol1222 = [0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol1223 = [2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol1224 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol1225 = [1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol1226 = [2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol1227 = [0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2] pubkeycol1228 = [1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2] pubkeycol1229 = [0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1] pubkeycol1230 = [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol1231 = [0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol1232 = [2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol1233 = [1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol1234 = [0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol1235 = [0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0] pubkeycol1236 = [1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol1237 = [1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2] pubkeycol1238 = [0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol1239 = [0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol1240 = [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2] pubkeycol1241 = [1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol1242 = [0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol1243 = [1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol1244 = [0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol1245 = [2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol1246 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol1247 = [0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol1248 = [2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2] pubkeycol1249 = [0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol1250 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol1251 = [0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol1252 = [2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol1253 = [0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol1254 = [2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol1255 = [0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol1256 = [1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol1257 = [2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1] pubkeycol1258 = [2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol1259 = [0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol1260 = [2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol1261 = [1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol1262 = [1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol1263 = [0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol1264 = [1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol1265 = [1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol1266 = [2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol1267 = [1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol1268 = [2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol1269 = [1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol1270 = [1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol1271 = [1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0] pubkeycol1272 = [2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol1273 = [2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol1274 = [1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol1275 = [2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol1276 = [0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol1277 = [0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol1278 = [0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol1279 = [1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol1280 = [2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol1281 = [2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol1282 = [1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol1283 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol1284 = [2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol1285 = [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol1286 = [0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol1287 = [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol1288 = [2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol1289 = [2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol1290 = [1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol1291 = [1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1] pubkeycol1292 = [0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1293 = [2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol1294 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol1295 = [0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0] pubkeycol1296 = [2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2] pubkeycol1297 = [0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1] pubkeycol1298 = [2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol1299 = [2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol1300 = [0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol1301 = [1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0] pubkeycol1302 = [1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol1303 = [1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0] pubkeycol1304 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol1305 = [1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1] pubkeycol1306 = [1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol1307 = [2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol1308 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol1309 = [2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol1310 = [2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1] pubkeycol1311 = [1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol1312 = [0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol1313 = [0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol1314 = [0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2] pubkeycol1315 = [2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol1316 = [0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol1317 = [1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1] pubkeycol1318 = [0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol1319 = [0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol1320 = [1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol1321 = [0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol1322 = [2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol1323 = [0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2] pubkeycol1324 = [2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol1325 = [0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1326 = [0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol1327 = [1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol1328 = [1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol1329 = [0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol1330 = [1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol1331 = [0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol1332 = [2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol1333 = [1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol1334 = [2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol1335 = [1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol1336 = [2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol1337 = [1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol1338 = [1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1] pubkeycol1339 = [1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol1340 = [2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol1341 = [1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol1342 = [1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol1343 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0] pubkeycol1344 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol1345 = [0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2] pubkeycol1346 = [2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol1347 = [0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol1348 = [1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol1349 = [0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol1350 = [1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol1351 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0] pubkeycol1352 = [0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol1353 = [0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0] pubkeycol1354 = [2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol1355 = [0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol1356 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol1357 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol1358 = [1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0,