kilobytes = 24.5731100209464 q = 3 m = 6 n = 729 s = 0 t = 24 u = 48 k = 441 w = 36 ciphertext = [1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol288 = [0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol289 = [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol290 = [2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol291 = [1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol292 = [2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol293 = [2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol294 = [2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol295 = [0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol296 = [2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol297 = [0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol298 = [0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1] pubkeycol299 = [1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol300 = [0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol301 = [2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0] pubkeycol302 = [0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2] pubkeycol303 = [2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1] pubkeycol304 = [0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1] pubkeycol305 = [0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol306 = [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol307 = [2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2] pubkeycol308 = [2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol309 = [1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0] pubkeycol310 = [1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1] pubkeycol311 = [2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol312 = [1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol313 = [2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0] pubkeycol314 = [2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol315 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol316 = [1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1] pubkeycol317 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0] pubkeycol318 = [1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol319 = [1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol320 = [0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol321 = [0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2] pubkeycol322 = [0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2] pubkeycol323 = [0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol324 = [1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol325 = [1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1] pubkeycol326 = [2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol327 = [0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol328 = [2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol329 = [1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol330 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol331 = [2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol332 = [0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol333 = [2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol334 = [1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol335 = [0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol336 = [0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol337 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol338 = [1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol339 = [1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol340 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol341 = [2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol342 = [2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol343 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol344 = [1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol345 = [1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol346 = [1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol347 = [0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol348 = [2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol349 = [1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol350 = [2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol351 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol352 = [1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol353 = [0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol354 = [0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2] pubkeycol355 = [1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol356 = [1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol357 = [2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol358 = [0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2] pubkeycol359 = [0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol360 = [0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol361 = [0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol362 = [0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol363 = [1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol364 = [2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol365 = [2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol366 = [2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol367 = [1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol368 = [2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol369 = [2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol370 = [1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol371 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol372 = [2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol373 = [0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol374 = [1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol375 = [0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol376 = [1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2] pubkeycol377 = [0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol378 = [2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1] pubkeycol379 = [0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2] pubkeycol380 = [2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1] pubkeycol381 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol382 = [2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol383 = [1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol384 = [1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol385 = [2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol386 = [2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol387 = [2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol388 = [2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2] pubkeycol389 = [2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1] pubkeycol390 = [0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol391 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol392 = [1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol393 = [0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol394 = [2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol395 = [0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1] pubkeycol396 = [1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol397 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol398 = [1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol399 = [0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol400 = [1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol401 = [2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2] pubkeycol402 = [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol403 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1] pubkeycol404 = [2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1] pubkeycol405 = [0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol406 = [0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol407 = [1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol408 = [2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol409 = [1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol410 = [2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol411 = [2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol412 = [2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol413 = [0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol414 = [2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol415 = [2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol416 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol417 = [2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol418 = [2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol419 = [2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol420 = [2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol421 = [2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol422 = [2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1] pubkeycol423 = [2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0] pubkeycol424 = [1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol425 = [0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2] pubkeycol426 = [0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0] pubkeycol427 = [0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol428 = [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol429 = [2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol430 = [2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol431 = [1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol432 = [2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol433 = [0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1] pubkeycol434 = [1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol435 = [0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol436 = [2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol437 = [1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol438 = [0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1] pubkeycol439 = [2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol440 = [0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol441 = [2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0] pubkeycol442 = [0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol443 = [0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol444 = [1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1] pubkeycol445 = [0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol446 = [1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol447 = [2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol448 = [2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2] pubkeycol449 = [0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol450 = [0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol451 = [2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol452 = [1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol453 = [1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol454 = [2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol455 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol456 = [0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0] pubkeycol457 = [1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol458 = [1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0] pubkeycol459 = [1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol460 = [1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol461 = [0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol462 = [2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol463 = [2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol464 = [2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol465 = [1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol466 = [0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol467 = [0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol468 = [1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol469 = [0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2] pubkeycol470 = [0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol471 = [1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol472 = [1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol473 = [0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol474 = [1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol475 = [0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2] pubkeycol476 = [2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol477 = [0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol478 = [0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol479 = [2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0] pubkeycol480 = [2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0] pubkeycol481 = [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol482 = [2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1] pubkeycol483 = [2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol484 = [0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol485 = [0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1] pubkeycol486 = [2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol487 = [0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol488 = [2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol489 = [0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2] pubkeycol490 = [2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol491 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol492 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol493 = [0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol494 = [2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol495 = [0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol496 = [1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol497 = [2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol498 = [0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol499 = [2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol500 = [1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol501 = [0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0] pubkeycol502 = [1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol503 = [2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol504 = [0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol505 = [2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol506 = [0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol507 = [0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol508 = [1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol509 = [1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol510 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol511 = [0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol512 = [0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0] pubkeycol513 = [1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol514 = [0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol515 = [1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol516 = [1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol517 = [0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol518 = [2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol519 = [0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol520 = [1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol521 = [0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol522 = [2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol523 = [0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol524 = [0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol525 = [1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol526 = [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol527 = [2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol528 = [2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol529 = [1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol530 = [1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol531 = [2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol532 = [0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol533 = [0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol534 = [2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol535 = [2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1] pubkeycol536 = [0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1] pubkeycol537 = [1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol538 = [1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol539 = [0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol540 = [0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol541 = [0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol542 = [1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol543 = [2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol544 = [0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2] pubkeycol545 = [2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1] pubkeycol546 = [2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol547 = [0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol548 = [2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol549 = [2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol550 = [1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol551 = [1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol552 = [1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2] pubkeycol553 = [1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2] pubkeycol554 = [2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol555 = [2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol556 = [2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol557 = [0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol558 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol559 = [0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1] pubkeycol560 = [0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol561 = [1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol562 = [2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol563 = [2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol564 = [1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0] pubkeycol565 = [1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol566 = [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1] pubkeycol567 = [2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol568 = [1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol569 = [1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol570 = [2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol571 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol572 = [2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol573 = [1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol574 = [2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol575 = [1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol576 = [0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol577 = [0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol578 = [2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol579 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2] pubkeycol580 = [0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol581 = [2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol582 = [2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1] pubkeycol583 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol584 = [1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol585 = [2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol586 = [2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol587 = [0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol588 = [0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol589 = [2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol590 = [2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol591 = [1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol592 = [2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol593 = [1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol594 = [1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol595 = [0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol596 = [0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol597 = [0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1] pubkeycol598 = [1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol599 = [2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol600 = [2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol601 = [1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol602 = [2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol603 = [2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol604 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol605 = [2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0] pubkeycol606 = [1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol607 = [2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol608 = [0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol609 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol610 = [0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol611 = [0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol612 = [2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol613 = [0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol614 = [0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol615 = [1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2] pubkeycol616 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol617 = [0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol618 = [0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol619 = [1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol620 = [0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol621 = [1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol622 = [2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol623 = [1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol624 = [2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0] pubkeycol625 = [2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol626 = [0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol627 = [2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2] pubkeycol628 = [1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol629 = [0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol630 = [1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol631 = [1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2] pubkeycol632 = [1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol633 = [0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol634 = [1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0] pubkeycol635 = [2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol636 = [1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol637 = [1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol638 = [2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol639 = [2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol640 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol641 = [0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol642 = [0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2] pubkeycol643 = [0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol644 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol645 = [1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol646 = [2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol647 = [1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol648 = [0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol649 = [1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol650 = [2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol651 = [1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol652 = [1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol653 = [1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol654 = [0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol655 = [2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol656 = [1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol657 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol658 = [0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol659 = [0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol660 = [2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0] pubkeycol661 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol662 = [2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol663 = [2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol664 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol665 = [2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol666 = [0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol667 = [2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol668 = [2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol669 = [1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol670 = [0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0] pubkeycol671 = [1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol672 = [2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol673 = [1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol674 = [0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1] pubkeycol675 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0] pubkeycol676 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol677 = [2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol678 = [1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol679 = [1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol680 = [1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol681 = [1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol682 = [0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol683 = [0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol684 = [2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol685 = [2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol686 = [1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol687 = [0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol688 = [2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1] pubkeycol689 = [0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol690 = [2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol691 = [0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0] pubkeycol692 = [1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol693 = [0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol694 = [1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1] pubkeycol695 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol696 = [2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol697 = [2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol698 = [2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol699 = [2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol700 = [2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol701 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol702 = [1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol703 = [2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0] pubkeycol704 = [0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol705 = [1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol706 = [0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol707 = [2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2] pubkeycol708 = [2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol709 = [1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol710 = [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol711 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol712 = [2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol713 = [1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol714 = [2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol715 = [0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol716 = [0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol717 = [0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol718 = [0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1] pubkeycol719 = [0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol720 = [0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol721 = [1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol722 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2] pubkeycol723 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1] pubkeycol724 = [0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol725 = [1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol726 = [1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol727 = [2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol728 = [2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0]