kilobytes = 159.972682709281 q = 5 m = 5 n = 1811 s = 0 t = 20 u = 80 k = 1411 w = 50 ciphertext = [1, 3, 1, 1, 0, 2, 4, 3, 4, 1, 0, 2, 0, 4, 2, 4, 4, 4, 0, 1, 4, 1, 3, 4, 3, 3, 0, 0, 1, 0, 3, 1, 1, 1, 2, 1, 0, 0, 3, 4, 3, 3, 1, 1, 2, 2, 0, 3, 3, 4, 3, 2, 0, 1, 1, 2, 1, 4, 1, 3, 4, 2, 2, 1, 4, 3, 2, 2, 1, 2, 3, 1, 4, 3, 0, 0, 0, 0, 3, 4, 0, 4, 3, 2, 3, 2, 0, 2, 2, 3, 2, 1, 0, 3, 3, 4, 2, 2, 4, 3, 2, 2, 1, 1, 4, 0, 1, 3, 4, 2, 3, 3, 0, 1, 3, 1, 1, 1, 1, 2, 2, 1, 3, 2, 3, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 0, 0, 3, 2, 1, 2, 4, 0, 1, 0, 1, 3, 4, 1, 3, 0, 2, 0, 0, 0, 4, 1, 1, 4, 3, 3, 1, 0, 3, 2, 1, 3, 0, 4, 4, 1, 0, 3, 4, 0, 2, 0, 3, 2, 4, 0, 0, 4, 0, 1, 1, 0, 2, 0, 1, 4, 3, 2, 1, 1, 4, 1, 0, 4, 4, 2, 0, 0, 3, 4, 0, 0, 0, 4, 0, 3, 0, 1, 1, 3, 1, 2, 2, 0, 1, 4, 1, 1, 3, 1, 2, 2, 2, 3, 2, 2, 2, 4, 0, 4, 1, 1, 1, 4, 3, 1, 3, 1, 1, 4, 4, 1, 4, 4, 4, 3, 1, 3, 3, 0, 3, 2, 0, 3, 4, 1, 4, 4, 3, 2, 4, 0, 3, 0, 1, 2, 1, 1, 2, 1, 2, 4, 2, 2, 0, 1, 2, 0, 1, 2, 1, 4, 0, 0, 4, 4, 2, 4, 1, 0, 4, 1, 4, 1, 4, 0, 4, 3, 3, 3, 4, 0, 2, 3, 3, 1, 0, 1, 1, 4, 4, 2, 1, 2, 1, 4, 0, 2, 4, 1, 1, 4, 4, 1, 4, 4, 2, 0, 0, 4, 1, 3, 2, 4, 1, 1, 4, 2, 0, 0, 3, 1, 2, 4, 1, 1, 4, 3, 0, 1, 0, 2, 0, 1, 4, 2, 0, 0, 1, 1, 2, 1, 4, 4, 2, 2, 2, 2, 0, 1, 1, 4, 4, 0, 0, 1, 2, 0, 2, 2, 2, 2, 4, 2, 0, 3, 3, 4, 1, 0, 4, 2, 4, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol400 = [1, 0, 1, 3, 0, 2, 3, 2, 1, 1, 1, 4, 0, 2, 1, 3, 1, 2, 2, 1, 3, 0, 3, 3, 3, 4, 4, 1, 3, 1, 4, 2, 2, 0, 4, 1, 2, 0, 1, 1, 4, 2, 1, 1, 1, 4, 3, 1, 0, 3, 0, 1, 4, 3, 0, 1, 4, 1, 1, 1, 1, 0, 1, 2, 3, 2, 4, 3, 1, 0, 2, 4, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 3, 2, 1, 2, 4, 2, 0, 4, 2, 4, 0, 4, 4, 3, 2, 4, 0, 0, 1, 4, 0, 3, 0, 3, 2, 3, 2, 1, 3, 1, 4, 3, 3, 0, 1, 1, 2, 1, 1, 3, 0, 2, 3, 3, 1, 1, 0, 4, 2, 2, 4, 0, 3, 1, 4, 1, 3, 3, 2, 4, 0, 4, 1, 1, 3, 4, 0, 3, 4, 1, 0, 4, 1, 1, 1, 0, 0, 4, 4, 0, 2, 0, 2, 1, 4, 2, 1, 3, 3, 4, 3, 3, 3, 1, 2, 4, 3, 3, 3, 3, 3, 2, 1, 0, 0, 4, 1, 4, 2, 2, 0, 2, 4, 1, 1, 3, 1, 2, 0, 2, 3, 0, 2, 1, 2, 4, 4, 1, 0, 2, 1, 0, 0, 0, 1, 1, 4, 3, 4, 0, 4, 1, 4, 4, 0, 0, 3, 2, 4, 2, 0, 2, 4, 4, 0, 4, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 0, 3, 4, 2, 2, 3, 1, 4, 2, 4, 1, 3, 3, 4, 4, 2, 2, 4, 1, 4, 1, 4, 3, 1, 2, 2, 0, 3, 4, 1, 0, 4, 3, 2, 4, 3, 0, 2, 0, 2, 4, 0, 2, 2, 0, 3, 1, 4, 2, 3, 3, 4, 1, 1, 3, 4, 3, 0, 2, 1, 3, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 4, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 1, 3, 1, 2, 2, 3, 2, 4, 1, 3, 1, 2, 1, 2, 4, 1, 1, 0, 1, 2, 2, 3, 4, 3, 3, 3, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 4, 3, 1, 2, 3, 3, 1, 0, 1, 4, 4, 0, 2, 4, 2, 1, 3, 2, 2, 1, 0, 3, 2, 4, 2, 4, 2, 1, 1] pubkeycol401 = [1, 2, 3, 1, 3, 3, 1, 2, 1, 4, 4, 1, 4, 0, 2, 4, 4, 2, 4, 3, 0, 1, 4, 4, 2, 0, 2, 1, 1, 0, 2, 4, 2, 3, 1, 0, 1, 3, 4, 3, 0, 2, 2, 3, 3, 0, 3, 2, 1, 0, 3, 4, 1, 4, 0, 0, 3, 2, 1, 4, 0, 3, 1, 3, 1, 2, 1, 4, 1, 4, 2, 2, 0, 3, 4, 3, 2, 3, 4, 4, 3, 0, 2, 1, 0, 3, 2, 3, 3, 0, 2, 3, 1, 4, 3, 2, 3, 2, 2, 2, 3, 1, 3, 4, 2, 0, 3, 0, 3, 4, 3, 3, 1, 3, 4, 2, 0, 3, 4, 2, 3, 2, 2, 0, 4, 2, 4, 4, 0, 2, 1, 4, 2, 3, 2, 4, 1, 3, 4, 4, 0, 3, 3, 3, 3, 4, 3, 2, 2, 1, 2, 1, 2, 2, 0, 1, 3, 3, 2, 3, 0, 4, 4, 2, 3, 0, 3, 2, 3, 1, 2, 1, 0, 3, 4, 4, 0, 0, 4, 3, 3, 3, 2, 4, 0, 1, 3, 4, 2, 1, 3, 4, 3, 3, 3, 0, 3, 2, 1, 4, 3, 0, 1, 3, 4, 0, 0, 2, 3, 4, 3, 4, 2, 4, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 3, 2, 3, 4, 1, 3, 0, 2, 3, 4, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 4, 2, 4, 4, 4, 3, 4, 0, 4, 1, 1, 4, 1, 3, 4, 1, 2, 4, 2, 1, 3, 3, 2, 0, 4, 2, 0, 3, 4, 1, 2, 2, 0, 0, 3, 1, 2, 3, 1, 1, 2, 2, 1, 2, 4, 0, 3, 3, 3, 2, 1, 3, 4, 2, 1, 1, 0, 1, 1, 4, 4, 0, 0, 4, 1, 1, 2, 4, 0, 3, 1, 4, 1, 0, 1, 2, 0, 3, 2, 1, 1, 0, 2, 3, 2, 2, 4, 4, 1, 2, 3, 2, 3, 1, 2, 4, 4, 4, 4, 0, 3, 1, 0, 2, 2, 4, 3, 2, 1, 2, 1, 3, 2, 1, 1, 2, 0, 3, 2, 2, 4, 0, 1, 0, 4, 2, 4, 1, 3, 4, 0, 3, 2, 0, 0, 4, 1, 2, 3, 3, 0, 1, 0, 4, 2, 3, 3, 0, 1, 0, 0, 2, 1, 4, 2, 1] pubkeycol402 = [0, 4, 4, 4, 4, 0, 4, 3, 0, 2, 3, 3, 0, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 2, 4, 2, 1, 1, 4, 3, 3, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 4, 0, 3, 1, 1, 3, 3, 2, 2, 2, 4, 1, 4, 4, 2, 3, 4, 2, 2, 2, 4, 1, 1, 4, 0, 1, 1, 0, 3, 4, 4, 1, 4, 4, 4, 3, 2, 4, 1, 4, 2, 1, 4, 1, 0, 4, 3, 1, 0, 2, 3, 3, 3, 1, 1, 1, 2, 1, 4, 3, 2, 0, 3, 1, 4, 2, 0, 2, 0, 2, 3, 4, 4, 0, 4, 2, 3, 0, 0, 1, 3, 4, 1, 1, 4, 1, 0, 3, 0, 0, 0, 4, 4, 4, 3, 2, 2, 1, 3, 2, 0, 2, 3, 0, 2, 4, 0, 2, 2, 0, 0, 3, 4, 2, 1, 3, 3, 2, 0, 4, 0, 4, 0, 0, 0, 1, 0, 0, 3, 1, 4, 1, 1, 0, 4, 3, 0, 2, 2, 4, 3, 1, 1, 1, 4, 1, 2, 3, 1, 0, 0, 1, 1, 3, 2, 0, 3, 0, 4, 1, 4, 0, 3, 3, 3, 4, 0, 1, 1, 2, 4, 4, 3, 1, 3, 0, 0, 4, 3, 0, 1, 4, 4, 2, 3, 2, 2, 0, 2, 1, 3, 2, 4, 2, 3, 0, 1, 0, 3, 2, 2, 3, 2, 3, 1, 3, 3, 4, 0, 4, 1, 3, 4, 2, 1, 1, 3, 1, 1, 2, 2, 3, 3, 4, 4, 3, 3, 4, 3, 3, 2, 0, 2, 4, 3, 2, 2, 4, 4, 0, 2, 4, 2, 4, 3, 3, 2, 2, 2, 4, 0, 1, 0, 1, 2, 4, 4, 3, 0, 1, 3, 3, 0, 0, 1, 0, 0, 4, 2, 4, 2, 4, 4, 3, 0, 3, 2, 0, 0, 0, 1, 0, 4, 4, 4, 0, 1, 1, 3, 4, 1, 4, 0, 3, 4, 2, 1, 1, 2, 1, 4, 2, 2, 4, 2, 3, 0, 2, 1, 4, 2, 2, 2, 0, 1, 3, 0, 0, 0, 1, 2, 1, 3, 2, 0, 3, 0, 0, 1, 4, 1, 2, 3, 0, 4, 3, 3, 4, 0, 2, 2, 3, 2, 4, 2, 4, 1, 1, 2, 4, 3, 1, 2, 1, 0, 3, 3, 3, 1] pubkeycol403 = [3, 3, 4, 0, 2, 0, 0, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 1, 0, 4, 2, 4, 1, 4, 4, 1, 1, 0, 2, 2, 2, 2, 1, 1, 4, 2, 0, 4, 0, 0, 1, 4, 1, 3, 4, 0, 4, 4, 1, 1, 2, 1, 0, 3, 4, 0, 2, 2, 2, 2, 0, 0, 2, 3, 4, 2, 3, 2, 0, 0, 2, 4, 1, 4, 1, 3, 0, 1, 2, 2, 4, 3, 0, 1, 2, 0, 0, 4, 0, 2, 1, 3, 0, 0, 1, 0, 4, 2, 2, 0, 2, 1, 0, 1, 0, 4, 1, 2, 1, 0, 2, 2, 1, 3, 3, 3, 3, 3, 2, 0, 1, 4, 3, 2, 3, 4, 3, 4, 1, 2, 4, 2, 2, 2, 0, 3, 3, 1, 3, 0, 1, 3, 0, 0, 2, 4, 0, 4, 4, 1, 3, 3, 4, 0, 2, 3, 0, 4, 3, 2, 2, 4, 2, 0, 4, 0, 2, 2, 2, 0, 4, 2, 1, 4, 0, 1, 1, 3, 1, 4, 4, 3, 4, 2, 4, 3, 0, 4, 4, 0, 1, 3, 2, 1, 2, 1, 2, 2, 4, 4, 3, 4, 0, 0, 1, 1, 0, 0, 2, 1, 3, 1, 4, 1, 1, 2, 3, 1, 1, 0, 2, 1, 3, 0, 2, 3, 2, 2, 1, 4, 1, 2, 3, 4, 4, 0, 1, 0, 0, 4, 0, 1, 3, 1, 4, 1, 2, 1, 2, 0, 0, 4, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 2, 4, 2, 2, 4, 2, 1, 1, 1, 1, 4, 4, 1, 2, 4, 1, 2, 4, 2, 4, 3, 2, 2, 1, 1, 1, 0, 2, 3, 4, 3, 2, 1, 4, 0, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 0, 3, 3, 2, 1, 1, 4, 3, 4, 3, 0, 3, 2, 1, 3, 3, 3, 0, 2, 1, 4, 3, 4, 2, 4, 1, 1, 4, 3, 1, 3, 4, 2, 0, 0, 0, 4, 4, 2, 1, 2, 1, 0, 4, 0, 3, 1, 0, 4, 2, 2, 4, 2, 0, 3, 1, 3, 1, 4, 0, 2, 4, 0, 0, 0, 2, 1, 1, 0, 1, 2, 3, 2, 1, 4, 3, 2, 0, 1, 3, 4, 4, 3, 3, 1, 1, 0, 1, 3, 0, 3] pubkeycol404 = [3, 4, 4, 2, 2, 4, 3, 4, 2, 1, 1, 0, 0, 4, 4, 3, 2, 1, 1, 2, 0, 1, 1, 4, 2, 1, 4, 2, 1, 4, 4, 2, 4, 0, 1, 2, 3, 1, 2, 0, 1, 2, 1, 0, 0, 3, 3, 0, 1, 3, 2, 1, 4, 4, 4, 0, 0, 4, 2, 2, 0, 0, 0, 0, 0, 2, 4, 1, 3, 2, 4, 0, 2, 2, 2, 3, 2, 4, 4, 1, 3, 0, 2, 3, 4, 1, 2, 4, 2, 2, 1, 3, 0, 0, 1, 3, 2, 4, 1, 0, 3, 4, 1, 4, 3, 2, 0, 0, 4, 3, 0, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 3, 4, 3, 0, 2, 0, 0, 1, 4, 2, 4, 2, 0, 0, 4, 4, 3, 1, 2, 2, 3, 3, 0, 4, 3, 2, 1, 3, 1, 0, 3, 2, 0, 1, 0, 1, 0, 3, 4, 2, 2, 4, 4, 3, 4, 4, 4, 1, 2, 4, 2, 4, 3, 3, 1, 4, 0, 0, 1, 0, 2, 1, 1, 4, 1, 0, 1, 2, 2, 4, 4, 4, 4, 1, 4, 1, 2, 1, 4, 1, 3, 0, 3, 3, 1, 0, 3, 3, 1, 0, 1, 4, 3, 0, 2, 3, 3, 0, 0, 2, 1, 4, 3, 3, 3, 2, 2, 4, 3, 4, 2, 3, 1, 4, 2, 2, 2, 0, 1, 4, 4, 4, 3, 0, 1, 4, 2, 3, 0, 0, 0, 4, 4, 2, 2, 4, 0, 0, 0, 2, 1, 4, 2, 4, 2, 4, 3, 1, 2, 4, 3, 2, 1, 1, 4, 2, 3, 2, 0, 0, 4, 2, 0, 4, 0, 4, 4, 1, 1, 4, 3, 1, 3, 2, 3, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 3, 4, 0, 3, 1, 0, 4, 4, 3, 4, 0, 1, 1, 0, 0, 3, 2, 2, 1, 0, 1, 3, 0, 3, 3, 0, 0, 0, 4, 3, 0, 4, 1, 0, 0, 4, 4, 1, 0, 4, 1, 1, 4, 0, 3, 2, 0, 1, 0, 1, 4, 4, 3, 3, 3, 4, 3, 4, 2, 4, 2, 2, 0, 1, 2, 3, 4, 2, 1, 2, 2, 1, 2, 1, 2, 4, 1, 2, 4, 0, 0, 2, 3, 1, 4, 2, 0, 1, 4, 1, 0, 2] pubkeycol405 = [4, 4, 4, 1, 4, 3, 1, 1, 4, 2, 0, 3, 1, 4, 3, 1, 1, 1, 3, 1, 3, 4, 2, 1, 4, 0, 1, 4, 2, 0, 3, 2, 3, 0, 4, 1, 0, 4, 0, 2, 3, 2, 0, 0, 0, 2, 2, 3, 0, 0, 0, 1, 0, 4, 4, 4, 2, 4, 2, 0, 4, 1, 0, 2, 4, 4, 4, 3, 0, 1, 2, 2, 0, 0, 1, 0, 2, 3, 2, 0, 2, 3, 0, 3, 1, 2, 0, 3, 1, 0, 0, 2, 2, 2, 2, 3, 0, 4, 1, 3, 0, 4, 3, 0, 2, 0, 3, 2, 2, 1, 3, 2, 2, 4, 4, 3, 0, 3, 1, 1, 0, 3, 4, 0, 2, 2, 0, 2, 0, 2, 3, 0, 4, 4, 0, 0, 4, 4, 3, 3, 0, 1, 4, 1, 3, 3, 2, 4, 4, 1, 3, 2, 3, 3, 4, 1, 0, 4, 0, 3, 3, 1, 3, 4, 2, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 1, 3, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 4, 2, 3, 3, 0, 4, 0, 4, 0, 3, 3, 4, 0, 1, 0, 2, 2, 2, 4, 2, 3, 1, 1, 0, 0, 4, 4, 2, 4, 1, 4, 2, 0, 3, 1, 1, 1, 3, 3, 0, 4, 0, 1, 1, 4, 1, 4, 0, 4, 4, 4, 0, 4, 1, 4, 0, 2, 1, 3, 3, 3, 1, 0, 0, 4, 1, 2, 3, 1, 3, 0, 0, 3, 3, 2, 1, 3, 2, 0, 2, 4, 0, 0, 2, 2, 3, 4, 3, 0, 4, 2, 0, 1, 4, 2, 1, 0, 0, 4, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 4, 0, 3, 3, 1, 1, 1, 0, 3, 4, 2, 0, 4, 0, 0, 0, 3, 1, 2, 0, 3, 0, 1, 4, 1, 4, 0, 3, 4, 1, 3, 1, 2, 4, 4, 2, 0, 0, 0, 2, 0, 1, 4, 1, 3, 3, 2, 4, 4, 0, 2, 0, 1, 1, 3, 3, 3, 4, 3, 4, 3, 2, 0, 0, 0, 0, 0, 1, 2, 3, 0, 1, 3, 1, 1, 4, 1, 0, 3, 0, 4, 4, 1, 0, 3, 2, 4, 4, 2, 2, 4, 4, 1, 3, 4, 3, 4, 2, 2, 2, 0, 4, 3] pubkeycol406 = [1, 4, 4, 0, 2, 4, 2, 0, 0, 3, 1, 2, 3, 0, 0, 4, 3, 0, 2, 1, 4, 4, 4, 0, 2, 1, 3, 4, 0, 4, 0, 2, 3, 2, 3, 1, 4, 1, 2, 1, 0, 1, 0, 2, 0, 3, 1, 1, 1, 1, 1, 3, 1, 3, 4, 4, 2, 0, 3, 0, 4, 0, 3, 0, 1, 3, 3, 1, 1, 2, 3, 1, 0, 2, 1, 2, 0, 4, 1, 1, 1, 4, 3, 4, 0, 3, 4, 4, 4, 4, 4, 1, 2, 3, 0, 2, 0, 3, 1, 2, 4, 1, 1, 4, 1, 4, 3, 1, 2, 4, 4, 0, 2, 1, 2, 4, 3, 4, 3, 0, 4, 3, 2, 0, 3, 0, 1, 1, 1, 2, 0, 1, 0, 1, 3, 0, 1, 3, 0, 2, 2, 4, 0, 1, 1, 2, 2, 1, 3, 1, 4, 0, 1, 1, 1, 0, 1, 2, 0, 4, 0, 4, 2, 2, 2, 0, 0, 3, 3, 3, 2, 4, 0, 3, 3, 1, 2, 1, 0, 3, 2, 1, 3, 3, 0, 3, 0, 0, 1, 4, 3, 0, 3, 3, 1, 0, 0, 4, 4, 3, 3, 2, 0, 3, 1, 0, 3, 4, 1, 0, 2, 3, 1, 3, 4, 3, 1, 2, 2, 4, 0, 3, 2, 3, 0, 3, 2, 3, 3, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 3, 2, 0, 1, 2, 3, 1, 4, 4, 3, 3, 2, 0, 0, 4, 1, 3, 2, 0, 1, 1, 3, 3, 2, 0, 1, 0, 3, 1, 2, 0, 0, 4, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 4, 2, 2, 0, 0, 4, 3, 0, 3, 1, 4, 0, 3, 2, 0, 4, 1, 4, 3, 4, 3, 4, 4, 3, 3, 0, 3, 0, 3, 2, 3, 2, 3, 0, 0, 2, 1, 2, 0, 2, 4, 2, 1, 2, 4, 4, 2, 4, 1, 0, 3, 0, 0, 2, 0, 2, 1, 4, 2, 4, 3, 1, 2, 4, 2, 2, 2, 2, 3, 0, 1, 1, 2, 3, 4, 0, 2, 1, 3, 0, 0, 3, 4, 2, 0, 2, 2, 4, 0, 0, 0, 0, 1, 3, 3, 2, 2, 4, 2, 0, 4, 4, 3, 3, 1, 0, 1, 1, 4, 2, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol407 = [1, 2, 3, 2, 1, 4, 1, 4, 1, 4, 1, 1, 3, 4, 1, 4, 2, 2, 0, 2, 3, 4, 2, 1, 4, 2, 0, 2, 3, 0, 2, 3, 1, 3, 0, 4, 0, 0, 4, 0, 0, 4, 1, 1, 2, 3, 1, 3, 0, 3, 3, 0, 4, 0, 2, 2, 0, 3, 4, 4, 3, 3, 3, 3, 2, 2, 3, 3, 0, 4, 4, 2, 3, 1, 4, 3, 4, 3, 0, 0, 1, 2, 4, 2, 2, 4, 0, 1, 1, 1, 4, 3, 4, 4, 0, 4, 3, 1, 4, 3, 0, 2, 3, 0, 4, 0, 3, 3, 3, 2, 1, 2, 4, 1, 3, 0, 4, 0, 4, 2, 4, 2, 0, 3, 2, 0, 4, 3, 1, 3, 0, 1, 1, 4, 2, 2, 0, 1, 0, 0, 3, 2, 4, 1, 1, 0, 0, 3, 3, 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, 1, 4, 4, 4, 0, 3, 3, 0, 1, 4, 2, 4, 2, 4, 0, 3, 1, 4, 4, 4, 1, 1, 3, 1, 3, 3, 4, 3, 2, 0, 0, 2, 3, 1, 2, 2, 2, 0, 2, 3, 2, 3, 2, 4, 0, 1, 4, 3, 0, 0, 3, 3, 0, 2, 0, 3, 4, 4, 1, 3, 0, 4, 4, 2, 1, 0, 2, 0, 3, 4, 4, 3, 2, 3, 1, 2, 1, 3, 2, 0, 2, 1, 0, 3, 2, 0, 3, 4, 3, 3, 1, 3, 4, 3, 4, 0, 4, 3, 1, 2, 4, 1, 3, 3, 2, 2, 3, 4, 1, 1, 4, 4, 1, 1, 4, 2, 4, 4, 4, 1, 0, 3, 3, 2, 4, 3, 4, 2, 0, 0, 3, 4, 0, 2, 2, 2, 3, 3, 0, 0, 2, 3, 0, 4, 2, 3, 2, 0, 3, 4, 1, 4, 4, 4, 1, 4, 0, 0, 3, 0, 0, 4, 2, 1, 2, 3, 4, 1, 0, 4, 1, 4, 4, 0, 3, 3, 0, 3, 1, 1, 2, 4, 0, 3, 3, 1, 0, 1, 1, 0, 0, 3, 0, 2, 2, 3, 3, 2, 0, 4, 1, 3, 1, 4, 3, 4, 2, 2, 2, 4, 0, 0, 2, 1, 2, 2, 0, 2, 3, 2, 3, 3, 3, 3, 0, 3, 3, 2, 0, 0, 2, 2, 4, 0, 3, 2, 0, 3, 3, 1, 0] pubkeycol408 = [1, 2, 3, 2, 0, 2, 4, 1, 1, 0, 1, 4, 1, 3, 4, 4, 2, 0, 4, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 3, 1, 2, 2, 2, 0, 0, 3, 4, 4, 1, 4, 1, 2, 2, 3, 0, 1, 2, 3, 0, 0, 3, 2, 3, 1, 3, 2, 3, 4, 0, 0, 2, 3, 2, 1, 1, 3, 4, 3, 2, 1, 0, 0, 1, 0, 1, 3, 0, 0, 1, 4, 0, 4, 0, 4, 4, 1, 1, 0, 0, 1, 0, 4, 1, 1, 4, 2, 4, 1, 3, 3, 3, 4, 0, 0, 0, 3, 3, 2, 0, 3, 4, 1, 1, 0, 1, 0, 4, 2, 4, 4, 3, 0, 4, 2, 3, 1, 2, 3, 4, 4, 0, 0, 2, 1, 4, 3, 1, 1, 1, 0, 1, 2, 2, 1, 4, 1, 3, 1, 1, 3, 0, 1, 3, 3, 3, 2, 0, 4, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 3, 0, 1, 2, 1, 3, 4, 4, 1, 4, 2, 1, 2, 2, 1, 3, 4, 0, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 2, 1, 3, 4, 1, 4, 1, 4, 3, 3, 4, 2, 1, 2, 4, 1, 3, 0, 2, 2, 0, 3, 4, 0, 2, 4, 0, 1, 1, 0, 2, 0, 2, 0, 0, 3, 2, 1, 3, 1, 1, 4, 0, 3, 2, 0, 4, 4, 3, 2, 4, 2, 2, 1, 3, 1, 2, 0, 0, 1, 1, 2, 3, 4, 3, 0, 0, 4, 4, 3, 3, 1, 2, 3, 0, 1, 4, 3, 3, 0, 2, 3, 0, 4, 3, 4, 0, 0, 2, 3, 3, 3, 2, 0, 2, 2, 1, 2, 0, 0, 0, 4, 1, 3, 0, 2, 4, 3, 2, 3, 3, 2, 2, 1, 1, 4, 1, 4, 0, 2, 0, 1, 0, 0, 2, 1, 0, 3, 3, 3, 2, 0, 4, 1, 1, 0, 4, 0, 4, 3, 4, 2, 4, 0, 2, 3, 1, 3, 4, 3, 3, 2, 0, 2, 1, 4, 1, 1, 0, 2, 2, 4, 3, 3, 1, 3, 0, 0, 4, 4, 1, 2, 2, 2, 2, 1, 2, 4, 4, 1, 3, 4, 2, 0, 1, 3, 4, 3, 0, 4, 4, 4, 0, 1, 0, 0, 0, 3, 2] pubkeycol409 = [4, 1, 0, 4, 0, 4, 1, 4, 3, 0, 1, 1, 4, 3, 2, 4, 2, 0, 0, 2, 1, 2, 0, 1, 3, 1, 2, 4, 2, 1, 0, 0, 2, 1, 1, 1, 2, 3, 3, 4, 4, 3, 4, 2, 3, 4, 4, 1, 2, 4, 2, 2, 2, 1, 4, 4, 2, 0, 2, 0, 1, 4, 3, 3, 4, 3, 4, 1, 2, 0, 0, 2, 3, 0, 4, 4, 4, 1, 3, 3, 4, 1, 1, 0, 0, 0, 3, 3, 3, 3, 1, 4, 1, 4, 1, 4, 0, 0, 3, 3, 1, 2, 2, 4, 0, 3, 4, 3, 0, 4, 1, 0, 1, 1, 3, 4, 3, 1, 1, 1, 3, 2, 0, 4, 0, 2, 0, 3, 0, 3, 1, 4, 1, 2, 1, 1, 4, 2, 2, 3, 4, 0, 2, 0, 0, 2, 4, 0, 3, 3, 4, 1, 2, 4, 4, 2, 2, 0, 3, 2, 2, 0, 3, 2, 3, 1, 4, 1, 0, 4, 2, 0, 2, 1, 3, 0, 0, 0, 2, 3, 1, 3, 4, 1, 2, 3, 4, 2, 1, 3, 0, 2, 2, 3, 3, 2, 1, 1, 0, 4, 1, 2, 1, 0, 2, 3, 0, 4, 0, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 0, 4, 4, 4, 1, 0, 1, 4, 0, 1, 0, 0, 4, 0, 4, 4, 4, 0, 3, 0, 2, 2, 0, 0, 0, 2, 0, 2, 4, 0, 3, 3, 0, 2, 3, 1, 1, 0, 3, 2, 3, 1, 0, 4, 4, 2, 1, 4, 4, 1, 2, 3, 1, 4, 4, 2, 0, 2, 3, 2, 1, 4, 2, 2, 1, 2, 4, 4, 4, 2, 4, 0, 4, 2, 4, 0, 2, 3, 3, 2, 2, 2, 2, 3, 1, 1, 0, 3, 1, 2, 1, 2, 0, 4, 1, 3, 2, 1, 1, 2, 2, 1, 4, 2, 3, 4, 4, 4, 2, 4, 2, 4, 4, 4, 0, 2, 4, 0, 3, 1, 0, 2, 0, 2, 0, 1, 4, 2, 3, 4, 1, 3, 4, 4, 2, 3, 1, 1, 2, 1, 3, 4, 2, 3, 2, 0, 2, 0, 4, 4, 2, 4, 3, 2, 2, 2, 3, 2, 1, 4, 2, 2, 1, 3, 0, 3, 4, 3, 0, 0, 3, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol410 = [0, 0, 4, 0, 0, 1, 4, 1, 2, 3, 3, 3, 4, 3, 2, 4, 2, 4, 3, 3, 1, 1, 0, 0, 0, 1, 3, 4, 3, 1, 0, 3, 4, 4, 3, 3, 3, 0, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 1, 3, 1, 3, 4, 2, 0, 2, 1, 3, 0, 1, 4, 2, 3, 3, 3, 1, 3, 2, 2, 0, 4, 1, 4, 1, 3, 3, 0, 0, 4, 4, 4, 2, 4, 1, 2, 4, 3, 2, 3, 3, 1, 1, 4, 3, 4, 1, 2, 3, 4, 4, 1, 0, 4, 1, 4, 1, 0, 0, 2, 3, 0, 1, 2, 1, 2, 0, 2, 2, 3, 2, 4, 4, 4, 2, 0, 3, 1, 2, 4, 3, 2, 4, 3, 0, 3, 2, 4, 3, 1, 4, 3, 2, 3, 0, 4, 4, 3, 0, 4, 2, 1, 0, 0, 4, 0, 0, 2, 1, 4, 3, 2, 3, 3, 0, 0, 2, 3, 3, 4, 0, 2, 2, 2, 4, 0, 0, 2, 4, 1, 2, 2, 2, 4, 1, 3, 2, 2, 2, 1, 2, 3, 4, 2, 1, 4, 4, 0, 4, 1, 4, 3, 2, 0, 0, 0, 2, 1, 4, 4, 0, 4, 2, 4, 3, 0, 3, 1, 0, 0, 4, 0, 1, 2, 1, 3, 4, 4, 2, 1, 0, 3, 2, 3, 2, 4, 2, 0, 3, 2, 0, 4, 3, 3, 2, 2, 2, 3, 1, 1, 2, 4, 1, 3, 4, 0, 2, 1, 1, 1, 3, 0, 0, 4, 2, 3, 3, 4, 4, 2, 0, 2, 4, 1, 4, 0, 1, 3, 0, 1, 3, 0, 0, 2, 0, 4, 1, 0, 3, 3, 4, 3, 0, 1, 2, 3, 3, 1, 1, 1, 4, 2, 4, 3, 2, 1, 4, 1, 4, 2, 3, 1, 2, 0, 0, 0, 1, 3, 0, 2, 4, 2, 2, 1, 0, 3, 1, 3, 2, 4, 1, 3, 1, 2, 0, 1, 2, 4, 1, 2, 0, 2, 2, 4, 2, 4, 3, 4, 1, 1, 3, 1, 2, 2, 3, 2, 4, 1, 2, 4, 0, 3, 3, 1, 1, 0, 3, 3, 0, 3, 1, 4, 2, 3, 0, 4, 4, 1, 4, 4, 4, 1, 0, 4, 4, 3, 2, 4, 2, 0, 0, 3, 1, 2, 4, 2, 0, 1, 2, 0, 4] pubkeycol411 = [4, 2, 1, 2, 4, 0, 0, 3, 4, 1, 4, 2, 2, 1, 2, 0, 1, 4, 2, 1, 4, 2, 0, 3, 4, 3, 1, 0, 0, 0, 1, 4, 3, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 3, 2, 3, 1, 3, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 4, 0, 1, 2, 1, 3, 3, 0, 0, 3, 4, 0, 3, 0, 1, 4, 3, 0, 3, 0, 1, 2, 1, 3, 0, 3, 2, 0, 3, 1, 4, 1, 2, 0, 2, 4, 0, 3, 1, 4, 2, 2, 0, 4, 2, 3, 3, 0, 4, 1, 1, 3, 0, 3, 1, 3, 3, 2, 4, 1, 1, 0, 0, 3, 1, 4, 1, 3, 4, 1, 4, 4, 2, 3, 2, 4, 2, 2, 1, 3, 3, 0, 3, 0, 2, 0, 0, 4, 3, 2, 4, 2, 0, 0, 1, 1, 2, 0, 2, 3, 0, 2, 1, 1, 3, 2, 1, 3, 4, 1, 1, 1, 0, 0, 2, 1, 4, 1, 1, 4, 0, 1, 3, 3, 1, 3, 4, 3, 3, 3, 4, 3, 0, 2, 3, 2, 0, 2, 3, 0, 2, 2, 0, 3, 2, 3, 1, 3, 0, 0, 3, 3, 1, 2, 0, 0, 1, 3, 4, 4, 2, 2, 1, 0, 0, 1, 0, 4, 4, 4, 3, 3, 3, 2, 3, 0, 0, 3, 4, 1, 3, 1, 2, 0, 4, 2, 4, 4, 3, 4, 2, 1, 4, 3, 3, 0, 4, 4, 0, 3, 2, 4, 2, 3, 3, 1, 2, 3, 4, 0, 0, 3, 1, 2, 4, 2, 4, 4, 3, 4, 0, 4, 1, 0, 3, 0, 1, 0, 0, 4, 2, 0, 4, 1, 0, 0, 0, 1, 3, 4, 0, 3, 3, 1, 4, 0, 3, 4, 1, 4, 1, 1, 1, 1, 0, 0, 1, 3, 4, 4, 4, 2, 1, 2, 3, 3, 2, 1, 2, 3, 1, 4, 0, 0, 4, 2, 1, 1, 0, 0, 1, 1, 2, 2, 4, 0, 2, 2, 0, 0, 2, 2, 1, 0, 3, 2, 3, 4, 3, 1, 0, 0, 2, 0, 4, 4, 4, 1, 1, 1, 3, 4, 0, 2, 1, 3, 1, 4, 2, 3, 4, 1, 1, 2, 4, 0, 4, 3, 0, 3, 2, 2, 0, 1, 0, 1, 4] pubkeycol412 = [1, 2, 1, 2, 1, 3, 3, 4, 1, 1, 2, 3, 4, 0, 1, 4, 1, 4, 4, 3, 4, 1, 2, 0, 3, 0, 4, 2, 2, 3, 4, 1, 4, 0, 4, 3, 4, 2, 3, 3, 1, 4, 1, 0, 2, 1, 0, 3, 2, 4, 1, 3, 2, 1, 0, 1, 3, 4, 3, 0, 1, 3, 3, 3, 3, 2, 3, 0, 0, 1, 0, 3, 1, 2, 4, 0, 3, 1, 1, 3, 0, 1, 0, 0, 2, 3, 1, 0, 2, 2, 3, 1, 3, 2, 3, 1, 4, 3, 2, 0, 3, 4, 3, 1, 1, 3, 1, 1, 3, 4, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 4, 4, 4, 1, 2, 2, 3, 0, 4, 3, 3, 4, 2, 3, 1, 3, 1, 0, 4, 3, 2, 3, 0, 4, 3, 3, 0, 1, 0, 3, 1, 1, 3, 2, 1, 4, 4, 2, 3, 3, 4, 1, 3, 3, 3, 4, 3, 0, 4, 3, 2, 3, 1, 2, 3, 1, 0, 1, 4, 4, 4, 3, 4, 0, 3, 3, 2, 1, 3, 0, 2, 2, 3, 3, 2, 2, 1, 4, 4, 0, 1, 3, 4, 0, 3, 0, 4, 1, 1, 4, 2, 4, 1, 3, 3, 3, 4, 4, 4, 0, 0, 1, 3, 4, 0, 3, 2, 4, 3, 1, 2, 0, 3, 2, 3, 1, 4, 2, 0, 0, 2, 0, 1, 4, 2, 0, 1, 4, 1, 1, 1, 1, 3, 0, 0, 2, 4, 1, 0, 4, 2, 0, 3, 4, 0, 1, 2, 3, 0, 3, 4, 3, 1, 2, 1, 4, 1, 3, 1, 3, 1, 1, 3, 2, 2, 0, 3, 4, 0, 1, 3, 0, 4, 4, 2, 1, 4, 2, 1, 2, 3, 2, 2, 0, 3, 3, 1, 2, 0, 1, 0, 1, 1, 2, 0, 4, 1, 1, 0, 3, 4, 4, 1, 1, 4, 1, 1, 0, 1, 0, 2, 1, 4, 1, 0, 4, 3, 1, 0, 3, 3, 3, 4, 0, 1, 0, 4, 3, 0, 0, 0, 4, 3, 3, 0, 3, 2, 3, 1, 0, 3, 3, 0, 1, 2, 3, 3, 4, 3, 2, 1, 1, 4, 0, 0, 2, 0, 1, 1, 0, 4, 4, 2, 0, 0, 3, 3, 1, 0, 0, 3, 1, 4, 0, 0, 3, 0] pubkeycol413 = [1, 1, 3, 4, 2, 0, 1, 1, 1, 1, 3, 1, 4, 1, 1, 4, 2, 4, 2, 1, 3, 1, 1, 0, 1, 0, 2, 0, 4, 1, 3, 1, 2, 4, 2, 0, 0, 0, 1, 2, 2, 4, 3, 4, 3, 3, 0, 4, 3, 2, 0, 3, 0, 3, 4, 2, 2, 4, 2, 1, 4, 4, 3, 3, 0, 0, 3, 0, 0, 1, 4, 0, 2, 0, 1, 0, 2, 4, 3, 1, 3, 2, 1, 2, 0, 2, 3, 4, 3, 2, 1, 1, 0, 4, 0, 4, 1, 3, 4, 1, 3, 3, 3, 1, 1, 1, 1, 3, 2, 1, 1, 4, 4, 3, 0, 0, 3, 2, 1, 4, 2, 0, 3, 1, 3, 0, 4, 1, 3, 0, 3, 2, 4, 2, 4, 2, 3, 3, 2, 0, 1, 2, 1, 4, 4, 0, 4, 0, 4, 4, 0, 4, 4, 0, 4, 1, 0, 3, 0, 1, 2, 4, 1, 1, 3, 0, 1, 4, 2, 2, 1, 0, 4, 1, 0, 2, 0, 0, 3, 2, 0, 1, 0, 3, 3, 1, 4, 1, 2, 0, 1, 0, 1, 3, 3, 4, 2, 2, 3, 2, 3, 4, 4, 4, 0, 1, 1, 4, 4, 3, 2, 1, 4, 1, 1, 4, 2, 0, 4, 3, 4, 0, 1, 1, 0, 4, 2, 1, 3, 4, 4, 3, 2, 2, 0, 2, 1, 0, 3, 4, 2, 2, 3, 0, 2, 0, 2, 2, 0, 3, 4, 0, 1, 1, 3, 2, 2, 2, 0, 2, 0, 4, 4, 0, 0, 0, 0, 2, 1, 4, 2, 4, 0, 4, 3, 0, 1, 1, 2, 1, 2, 1, 3, 4, 0, 2, 3, 4, 4, 4, 0, 2, 2, 0, 4, 3, 3, 0, 3, 3, 2, 4, 4, 3, 0, 3, 0, 2, 0, 1, 2, 1, 4, 0, 0, 4, 3, 2, 3, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 3, 3, 4, 0, 2, 3, 3, 2, 0, 1, 1, 2, 2, 4, 2, 0, 4, 3, 4, 0, 4, 2, 1, 2, 4, 3, 0, 1, 4, 1, 3, 2, 1, 1, 0, 2, 2, 2, 2, 2, 4, 3, 4, 1, 0, 0, 4, 2, 3, 0, 2, 4, 3, 2, 2, 4, 4, 1, 1, 0, 1, 3, 3, 2, 1, 2, 4, 4, 2, 2] pubkeycol414 = [3, 2, 2, 4, 1, 2, 3, 4, 4, 2, 4, 0, 0, 3, 3, 4, 1, 2, 4, 0, 0, 0, 1, 1, 3, 2, 3, 0, 0, 3, 1, 1, 4, 1, 0, 3, 0, 1, 1, 0, 2, 1, 3, 0, 4, 3, 4, 3, 3, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 3, 4, 0, 3, 4, 1, 1, 0, 2, 0, 1, 2, 3, 0, 0, 4, 3, 3, 2, 1, 3, 0, 4, 1, 4, 1, 1, 2, 2, 1, 2, 1, 3, 3, 2, 4, 0, 4, 0, 2, 0, 0, 2, 0, 3, 0, 2, 0, 3, 2, 0, 4, 0, 2, 1, 1, 4, 2, 4, 3, 3, 4, 1, 2, 4, 3, 1, 3, 4, 1, 3, 4, 3, 2, 3, 0, 4, 0, 1, 3, 0, 4, 1, 2, 0, 2, 2, 2, 1, 4, 0, 4, 0, 4, 4, 2, 0, 0, 3, 4, 0, 4, 2, 2, 4, 2, 0, 4, 1, 2, 4, 0, 0, 4, 1, 4, 4, 0, 0, 2, 0, 2, 1, 3, 0, 2, 2, 0, 1, 2, 4, 3, 4, 1, 3, 0, 2, 2, 0, 2, 2, 4, 3, 1, 2, 2, 2, 2, 0, 0, 4, 3, 0, 0, 0, 4, 0, 1, 3, 2, 2, 2, 4, 0, 0, 1, 2, 3, 4, 1, 1, 3, 3, 2, 1, 3, 0, 1, 1, 1, 4, 2, 2, 1, 1, 3, 0, 1, 0, 0, 1, 1, 0, 4, 2, 0, 3, 0, 0, 0, 3, 3, 0, 2, 0, 0, 1, 0, 2, 0, 4, 0, 0, 1, 3, 1, 3, 2, 2, 3, 1, 1, 3, 4, 4, 3, 2, 3, 2, 3, 2, 4, 2, 4, 4, 2, 3, 3, 0, 4, 4, 3, 1, 4, 1, 2, 2, 1, 2, 3, 3, 1, 4, 4, 0, 3, 0, 0, 1, 3, 2, 0, 3, 1, 2, 0, 0, 3, 3, 3, 2, 2, 4, 4, 1, 2, 2, 3, 3, 0, 2, 1, 3, 1, 4, 4, 3, 4, 1, 2, 4, 2, 3, 4, 3, 4, 2, 4, 1, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 4, 3, 2, 4, 0, 4, 0, 2, 2, 1, 1, 0, 1, 4, 2, 0, 1, 3, 1, 1, 3, 2, 3, 2, 2, 1, 1, 3, 1] pubkeycol415 = [2, 3, 0, 3, 3, 3, 4, 4, 0, 3, 3, 0, 4, 0, 3, 2, 0, 3, 1, 3, 1, 2, 4, 0, 1, 4, 0, 0, 2, 0, 2, 4, 1, 3, 3, 4, 1, 0, 2, 4, 1, 3, 3, 4, 2, 3, 0, 0, 4, 0, 0, 0, 2, 3, 3, 3, 1, 4, 3, 4, 1, 0, 1, 1, 3, 2, 3, 1, 4, 0, 4, 1, 3, 1, 3, 4, 4, 1, 2, 2, 1, 3, 4, 4, 1, 1, 1, 4, 3, 0, 1, 2, 2, 0, 0, 2, 4, 2, 1, 4, 2, 1, 2, 2, 3, 3, 1, 1, 1, 2, 4, 1, 2, 1, 1, 1, 3, 3, 2, 1, 2, 2, 4, 3, 3, 0, 1, 1, 2, 1, 3, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 1, 1, 4, 3, 4, 0, 3, 4, 0, 1, 2, 3, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 3, 3, 0, 0, 1, 1, 2, 4, 2, 3, 2, 2, 3, 3, 3, 4, 1, 2, 1, 3, 1, 4, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 2, 1, 3, 0, 4, 0, 4, 1, 3, 2, 3, 3, 2, 2, 3, 3, 4, 1, 3, 4, 4, 4, 1, 3, 2, 2, 4, 2, 0, 4, 0, 3, 1, 3, 3, 4, 4, 3, 3, 2, 0, 2, 0, 3, 2, 3, 3, 4, 3, 1, 1, 1, 2, 0, 2, 1, 3, 1, 3, 4, 4, 1, 2, 3, 3, 4, 1, 1, 1, 1, 3, 0, 4, 0, 1, 3, 0, 4, 3, 1, 1, 4, 0, 1, 1, 0, 4, 4, 3, 1, 2, 2, 0, 0, 2, 0, 4, 3, 1, 2, 1, 3, 1, 0, 1, 1, 0, 4, 1, 1, 1, 2, 2, 0, 0, 3, 3, 4, 3, 0, 0, 4, 3, 3, 0, 4, 4, 0, 1, 4, 2, 0, 2, 2, 3, 1, 3, 3, 1, 3, 4, 0, 0, 4, 1, 1, 4, 4, 3, 0, 0, 4, 2, 0, 3, 1, 2, 2, 0, 2, 4, 0, 4, 2, 2, 2, 1, 2, 0, 3, 3, 0, 1, 3, 4, 2, 3, 1, 1, 0, 0, 4, 2, 4, 2, 0, 4, 4, 1, 1, 0, 2, 1, 0, 3, 0, 1, 3, 2, 0, 4, 0] pubkeycol416 = [4, 1, 3, 3, 0, 4, 2, 0, 0, 3, 0, 3, 4, 0, 4, 1, 0, 1, 3, 1, 4, 1, 4, 2, 3, 2, 4, 4, 4, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 0, 2, 2, 0, 0, 0, 1, 4, 0, 3, 2, 2, 2, 1, 2, 2, 2, 1, 0, 3, 2, 3, 2, 2, 2, 4, 3, 1, 4, 3, 2, 2, 0, 2, 4, 0, 2, 4, 2, 0, 2, 4, 1, 3, 2, 2, 0, 4, 4, 1, 0, 3, 0, 2, 3, 0, 1, 1, 2, 0, 4, 2, 2, 3, 4, 1, 0, 3, 1, 1, 3, 2, 4, 3, 1, 3, 3, 2, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 3, 4, 3, 1, 0, 4, 1, 3, 0, 0, 4, 1, 4, 4, 1, 2, 1, 0, 1, 1, 4, 1, 0, 2, 4, 2, 0, 0, 4, 4, 2, 0, 3, 3, 4, 0, 3, 1, 2, 2, 3, 4, 3, 4, 2, 0, 1, 1, 3, 4, 4, 0, 4, 4, 2, 1, 4, 4, 4, 3, 0, 0, 0, 1, 3, 1, 4, 4, 3, 3, 0, 4, 3, 2, 4, 3, 4, 2, 1, 0, 1, 0, 3, 1, 2, 3, 0, 3, 0, 1, 1, 3, 3, 2, 0, 3, 3, 4, 1, 2, 0, 0, 2, 3, 1, 1, 1, 2, 0, 4, 1, 0, 2, 3, 0, 1, 2, 1, 3, 1, 3, 4, 3, 3, 1, 3, 2, 0, 2, 0, 3, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 3, 0, 2, 4, 4, 4, 0, 3, 0, 2, 3, 0, 1, 4, 4, 2, 3, 0, 1, 2, 3, 1, 2, 2, 2, 0, 3, 2, 2, 1, 3, 4, 1, 2, 1, 2, 0, 0, 2, 0, 4, 3, 2, 3, 2, 2, 4, 1, 3, 3, 2, 0, 3, 0, 3, 2, 2, 1, 2, 2, 1, 2, 1, 0, 3, 4, 4, 0, 0, 0, 2, 0, 4, 1, 3, 0, 0, 4, 1, 2, 0, 3, 3, 4, 0, 0, 2, 0, 2, 2, 4, 2, 1, 1, 4, 0, 2, 4, 1, 1, 4, 1, 4, 4, 2, 4, 4, 4, 0, 2, 3, 0, 1, 0, 4, 2, 3, 1, 3, 3, 0, 1, 4, 2, 1] pubkeycol417 = [3, 0, 4, 2, 4, 4, 3, 0, 0, 2, 0, 3, 3, 4, 3, 4, 1, 2, 1, 1, 2, 4, 1, 2, 2, 3, 3, 4, 0, 4, 0, 3, 3, 3, 1, 1, 2, 1, 0, 0, 0, 3, 3, 0, 0, 4, 1, 4, 4, 3, 4, 4, 2, 4, 3, 3, 1, 4, 3, 4, 4, 3, 3, 2, 2, 2, 0, 4, 4, 4, 1, 2, 0, 3, 1, 2, 3, 0, 4, 0, 1, 2, 3, 2, 2, 1, 3, 0, 1, 0, 0, 4, 3, 3, 3, 1, 0, 2, 2, 4, 2, 1, 3, 0, 1, 2, 0, 0, 4, 3, 3, 2, 2, 0, 1, 4, 2, 0, 3, 4, 0, 1, 3, 1, 2, 1, 4, 2, 1, 3, 3, 4, 4, 2, 1, 0, 3, 0, 0, 1, 1, 3, 1, 4, 3, 4, 3, 3, 1, 0, 3, 2, 3, 2, 1, 1, 4, 4, 4, 3, 2, 4, 1, 4, 0, 0, 0, 1, 1, 4, 4, 4, 1, 3, 2, 3, 3, 1, 3, 1, 3, 2, 4, 0, 4, 0, 0, 4, 0, 0, 3, 3, 0, 2, 2, 4, 1, 3, 3, 2, 3, 0, 2, 3, 4, 3, 1, 3, 0, 2, 0, 1, 1, 2, 3, 3, 1, 4, 2, 3, 1, 3, 4, 3, 2, 1, 4, 1, 1, 4, 2, 3, 0, 4, 4, 4, 1, 0, 4, 4, 2, 0, 3, 0, 0, 0, 3, 2, 1, 3, 4, 1, 3, 0, 1, 2, 4, 3, 3, 2, 3, 3, 1, 3, 2, 2, 3, 2, 1, 4, 3, 0, 2, 4, 1, 1, 2, 2, 2, 2, 3, 0, 2, 3, 1, 4, 3, 2, 2, 3, 1, 4, 1, 1, 2, 0, 0, 0, 3, 0, 2, 3, 2, 4, 2, 2, 4, 0, 3, 1, 0, 1, 0, 1, 1, 3, 0, 4, 2, 3, 1, 1, 2, 4, 0, 1, 1, 2, 4, 2, 0, 4, 1, 3, 2, 2, 1, 1, 2, 2, 3, 1, 3, 4, 2, 4, 0, 1, 3, 4, 2, 1, 2, 1, 2, 1, 1, 3, 1, 4, 3, 4, 3, 1, 2, 2, 1, 1, 1, 3, 4, 2, 1, 0, 2, 3, 2, 0, 2, 1, 0, 0, 0, 1, 1, 4, 0, 0, 3, 0, 4, 0, 4, 3, 1, 0, 3, 4, 1, 0] pubkeycol418 = [4, 3, 4, 0, 1, 4, 4, 0, 1, 0, 0, 2, 1, 3, 3, 3, 1, 1, 3, 0, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 3, 0, 1, 2, 1, 2, 3, 0, 0, 0, 4, 2, 2, 4, 1, 2, 0, 4, 1, 4, 0, 4, 2, 1, 2, 4, 0, 1, 4, 1, 3, 4, 2, 3, 3, 4, 0, 3, 4, 1, 1, 2, 3, 2, 1, 2, 1, 2, 2, 0, 2, 1, 3, 3, 4, 4, 3, 2, 3, 2, 4, 1, 2, 4, 3, 4, 3, 0, 0, 4, 2, 3, 0, 3, 4, 2, 3, 1, 3, 2, 3, 0, 4, 0, 4, 4, 1, 1, 0, 2, 0, 4, 4, 0, 0, 4, 3, 1, 1, 1, 0, 1, 4, 3, 2, 3, 3, 1, 1, 1, 4, 1, 2, 2, 1, 4, 1, 2, 1, 2, 3, 0, 2, 2, 4, 1, 2, 0, 4, 1, 1, 0, 0, 1, 1, 2, 2, 4, 4, 3, 4, 0, 4, 1, 0, 1, 1, 1, 0, 1, 2, 4, 1, 1, 0, 4, 0, 4, 0, 4, 2, 4, 3, 0, 2, 2, 1, 4, 4, 2, 3, 2, 4, 3, 3, 4, 4, 3, 4, 1, 2, 0, 2, 2, 0, 0, 2, 3, 4, 4, 1, 4, 4, 4, 3, 0, 2, 1, 3, 1, 3, 2, 2, 3, 1, 3, 1, 4, 4, 3, 4, 4, 0, 2, 2, 3, 2, 1, 4, 1, 2, 1, 2, 1, 2, 1, 3, 0, 1, 3, 3, 1, 3, 1, 4, 3, 4, 3, 0, 1, 2, 2, 4, 4, 3, 1, 3, 4, 4, 0, 2, 0, 4, 3, 2, 4, 1, 0, 4, 0, 4, 0, 2, 2, 0, 0, 3, 4, 0, 3, 4, 3, 0, 1, 0, 3, 2, 3, 2, 4, 3, 4, 4, 2, 2, 2, 1, 0, 4, 4, 1, 2, 0, 0, 1, 2, 0, 4, 3, 4, 3, 1, 1, 0, 2, 4, 2, 4, 2, 0, 2, 1, 4, 4, 0, 3, 4, 4, 0, 4, 0, 4, 4, 2, 3, 0, 1, 3, 3, 2, 1, 1, 0, 4, 1, 0, 2, 2, 3, 0, 3, 3, 1, 0, 4, 1, 4, 1, 1, 3, 2, 0, 2, 4, 1, 1, 0, 4, 0, 1, 4, 3, 1, 1, 1, 0, 2, 2] pubkeycol419 = [3, 4, 3, 3, 1, 3, 3, 1, 2, 1, 3, 0, 2, 0, 4, 4, 0, 2, 4, 0, 1, 3, 3, 3, 2, 2, 1, 0, 1, 0, 4, 2, 2, 3, 3, 0, 3, 1, 4, 4, 2, 4, 0, 4, 3, 4, 2, 2, 1, 3, 0, 1, 3, 1, 1, 0, 0, 0, 3, 2, 2, 2, 3, 4, 4, 3, 2, 0, 3, 3, 1, 3, 3, 4, 3, 0, 0, 0, 1, 3, 0, 3, 2, 2, 4, 1, 1, 4, 4, 0, 4, 3, 4, 2, 2, 4, 0, 4, 4, 4, 4, 4, 3, 4, 0, 3, 2, 1, 1, 2, 3, 4, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 0, 3, 4, 0, 0, 4, 0, 0, 2, 4, 4, 1, 2, 3, 0, 1, 4, 4, 1, 4, 0, 4, 2, 3, 2, 0, 0, 4, 1, 2, 2, 4, 2, 2, 4, 3, 4, 3, 1, 2, 1, 0, 4, 2, 1, 1, 4, 3, 0, 1, 4, 2, 1, 3, 4, 2, 2, 4, 0, 4, 4, 0, 1, 3, 3, 3, 1, 1, 2, 4, 0, 0, 3, 3, 2, 1, 1, 1, 2, 4, 1, 0, 4, 4, 0, 4, 3, 2, 0, 0, 1, 0, 3, 0, 1, 4, 0, 0, 4, 1, 0, 1, 4, 2, 2, 4, 1, 2, 1, 4, 4, 1, 3, 2, 1, 3, 0, 0, 2, 2, 4, 3, 2, 4, 0, 4, 3, 2, 2, 0, 3, 2, 1, 4, 3, 4, 3, 0, 4, 3, 2, 1, 2, 2, 1, 4, 1, 1, 0, 2, 4, 1, 2, 3, 3, 1, 0, 3, 4, 4, 0, 2, 0, 1, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 3, 1, 4, 3, 2, 1, 2, 3, 3, 4, 2, 0, 4, 3, 2, 3, 4, 2, 2, 3, 3, 0, 2, 4, 0, 2, 1, 0, 3, 1, 4, 3, 4, 0, 4, 1, 0, 3, 2, 4, 4, 4, 4, 0, 3, 3, 0, 4, 1, 0, 3, 3, 3, 3, 3, 0, 4, 0, 3, 0, 4, 2, 0, 3, 0, 1, 1, 0, 4, 4, 4, 2, 2, 2, 2, 0, 3, 2, 4, 3, 3, 3, 2, 1, 4, 2, 4, 1, 3, 1, 0, 3, 4, 2, 3, 0, 1, 3, 0, 0, 3, 2, 4, 2] pubkeycol420 = [4, 1, 2, 2, 4, 4, 1, 2, 0, 3, 1, 2, 3, 4, 1, 4, 2, 1, 2, 1, 1, 3, 4, 4, 2, 3, 2, 3, 4, 1, 1, 2, 0, 1, 3, 3, 0, 3, 3, 2, 4, 3, 2, 4, 2, 3, 2, 1, 3, 3, 0, 1, 1, 0, 2, 1, 3, 0, 0, 0, 4, 3, 2, 2, 3, 0, 2, 4, 2, 3, 3, 0, 1, 2, 2, 2, 2, 1, 2, 0, 3, 1, 3, 1, 2, 4, 2, 1, 3, 2, 3, 0, 2, 0, 1, 3, 2, 0, 4, 0, 4, 1, 2, 1, 0, 2, 4, 0, 3, 4, 3, 3, 2, 3, 3, 2, 0, 3, 2, 1, 3, 4, 0, 1, 3, 3, 4, 0, 1, 1, 3, 0, 2, 1, 4, 4, 3, 3, 4, 1, 4, 2, 3, 0, 4, 1, 2, 4, 3, 4, 0, 2, 0, 1, 2, 2, 0, 4, 4, 1, 1, 4, 3, 2, 0, 1, 3, 0, 3, 3, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 4, 0, 0, 3, 2, 0, 0, 2, 4, 1, 1, 0, 2, 4, 1, 4, 0, 2, 2, 3, 2, 2, 3, 0, 1, 0, 1, 2, 4, 1, 4, 4, 0, 1, 1, 2, 4, 0, 3, 1, 1, 2, 1, 3, 1, 2, 1, 0, 4, 1, 4, 2, 2, 0, 3, 2, 2, 4, 2, 1, 1, 1, 3, 1, 4, 2, 1, 4, 1, 2, 2, 2, 3, 4, 1, 0, 1, 2, 4, 3, 2, 4, 3, 2, 4, 0, 3, 3, 1, 2, 4, 3, 2, 1, 4, 0, 0, 2, 4, 3, 0, 0, 1, 4, 2, 4, 1, 1, 2, 0, 4, 2, 2, 2, 2, 0, 0, 1, 3, 1, 1, 3, 4, 0, 0, 4, 2, 0, 3, 1, 2, 3, 3, 4, 0, 4, 0, 1, 1, 1, 2, 4, 4, 0, 4, 1, 0, 0, 1, 4, 0, 3, 4, 0, 3, 1, 0, 4, 2, 1, 0, 3, 1, 0, 0, 3, 3, 0, 1, 4, 1, 1, 1, 2, 1, 3, 0, 2, 0, 1, 0, 4, 1, 2, 2, 2, 0, 3, 1, 3, 2, 1, 2, 2, 1, 1, 1, 3, 3, 2, 4, 3, 2, 0, 2, 3, 3, 2, 3, 1, 3, 2, 3, 3, 4, 2, 2, 1, 4, 2] pubkeycol421 = [0, 4, 0, 3, 0, 4, 1, 0, 3, 1, 3, 1, 3, 4, 3, 4, 2, 1, 3, 4, 4, 4, 4, 1, 3, 0, 1, 1, 4, 1, 2, 2, 0, 1, 0, 2, 1, 1, 3, 1, 1, 3, 3, 4, 3, 2, 2, 0, 1, 1, 4, 4, 4, 0, 2, 3, 3, 4, 1, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 3, 0, 4, 2, 1, 0, 0, 3, 1, 3, 1, 3, 3, 0, 1, 0, 4, 1, 1, 1, 4, 0, 1, 1, 0, 2, 4, 1, 2, 1, 3, 2, 3, 1, 0, 1, 4, 4, 0, 1, 4, 0, 3, 0, 4, 0, 3, 1, 1, 4, 0, 3, 4, 0, 0, 3, 0, 1, 0, 3, 1, 0, 3, 2, 1, 4, 0, 3, 2, 3, 1, 1, 0, 3, 3, 0, 3, 2, 2, 2, 2, 4, 4, 2, 3, 4, 1, 4, 0, 4, 2, 2, 4, 0, 0, 2, 4, 2, 2, 3, 2, 2, 4, 0, 0, 2, 0, 3, 3, 0, 4, 4, 4, 4, 3, 0, 2, 0, 3, 2, 4, 1, 3, 0, 4, 2, 1, 1, 2, 1, 0, 4, 3, 2, 1, 2, 3, 0, 3, 1, 2, 2, 2, 2, 3, 1, 3, 3, 0, 4, 0, 2, 2, 0, 0, 1, 0, 4, 1, 0, 1, 2, 1, 4, 4, 2, 1, 2, 3, 3, 2, 2, 4, 4, 2, 3, 2, 0, 0, 2, 1, 3, 0, 1, 0, 1, 2, 2, 4, 4, 0, 1, 2, 3, 4, 2, 4, 2, 3, 0, 4, 2, 3, 2, 0, 1, 0, 1, 1, 0, 3, 3, 1, 2, 1, 3, 2, 2, 3, 2, 4, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 2, 4, 4, 1, 4, 1, 4, 0, 4, 2, 1, 2, 1, 0, 0, 2, 3, 3, 4, 4, 0, 3, 3, 3, 3, 4, 3, 1, 3, 0, 1, 4, 0, 1, 4, 2, 3, 1, 2, 0, 4, 3, 0, 3, 0, 3, 4, 1, 3, 3, 3, 0, 0, 3, 4, 2, 3, 2, 4, 3, 1, 2, 4, 3, 2, 2, 0, 0, 4, 1, 4, 0, 3, 4, 3, 1, 4, 4, 0, 3, 2, 3, 2, 4] pubkeycol422 = [1, 2, 1, 2, 1, 4, 1, 1, 2, 0, 3, 1, 1, 3, 1, 4, 0, 4, 1, 0, 0, 1, 3, 3, 2, 3, 0, 3, 3, 1, 2, 3, 2, 0, 3, 1, 1, 1, 1, 1, 3, 4, 1, 2, 2, 1, 1, 1, 3, 0, 0, 4, 0, 0, 0, 3, 0, 4, 0, 0, 3, 1, 3, 1, 3, 1, 4, 3, 2, 1, 4, 3, 3, 0, 2, 4, 1, 2, 2, 2, 0, 2, 4, 0, 1, 2, 0, 2, 0, 4, 4, 4, 2, 3, 1, 1, 4, 0, 2, 2, 2, 4, 1, 1, 4, 2, 0, 0, 2, 1, 2, 4, 0, 4, 4, 4, 4, 2, 2, 4, 4, 3, 1, 2, 0, 3, 2, 0, 1, 0, 2, 2, 3, 2, 0, 1, 2, 3, 1, 1, 1, 1, 2, 3, 4, 1, 0, 1, 4, 2, 1, 4, 4, 4, 1, 2, 1, 4, 4, 4, 4, 2, 2, 3, 1, 3, 0, 2, 0, 4, 1, 3, 1, 4, 4, 2, 3, 1, 1, 0, 4, 3, 1, 3, 4, 4, 4, 1, 4, 3, 1, 1, 4, 1, 4, 3, 3, 1, 1, 3, 1, 3, 4, 1, 1, 4, 3, 1, 1, 4, 3, 4, 4, 4, 1, 1, 2, 2, 0, 4, 4, 1, 4, 3, 4, 2, 3, 4, 3, 3, 4, 4, 1, 4, 0, 4, 0, 4, 3, 4, 3, 0, 2, 4, 2, 0, 0, 1, 3, 3, 3, 3, 4, 4, 2, 4, 1, 3, 3, 4, 0, 2, 0, 0, 1, 2, 3, 0, 4, 3, 1, 2, 2, 1, 1, 0, 1, 0, 0, 4, 0, 2, 0, 3, 2, 0, 4, 3, 4, 2, 2, 3, 3, 2, 1, 0, 1, 0, 1, 4, 4, 0, 0, 4, 4, 2, 0, 0, 3, 4, 4, 3, 2, 4, 2, 3, 2, 4, 3, 1, 3, 1, 3, 4, 0, 2, 4, 3, 2, 3, 1, 1, 1, 1, 2, 1, 3, 0, 0, 2, 3, 1, 1, 1, 1, 0, 0, 2, 1, 2, 4, 3, 3, 0, 1, 0, 0, 2, 4, 3, 4, 2, 2, 1, 3, 2, 2, 0, 3, 4, 4, 1, 2, 0, 1, 0, 3, 4, 0, 1, 0, 0, 0, 4, 4, 1, 2, 3, 1, 4, 3, 3, 2, 4, 3, 2, 4, 1, 0, 2] pubkeycol423 = [3, 3, 2, 1, 1, 1, 1, 3, 1, 2, 4, 0, 0, 4, 3, 4, 4, 2, 2, 1, 2, 4, 4, 3, 2, 2, 4, 1, 0, 1, 0, 4, 2, 0, 3, 4, 0, 2, 0, 2, 2, 3, 1, 0, 4, 1, 1, 3, 3, 2, 4, 0, 1, 4, 1, 2, 0, 3, 3, 4, 4, 2, 4, 3, 2, 2, 3, 2, 0, 1, 1, 2, 4, 1, 4, 2, 1, 1, 2, 4, 1, 3, 0, 3, 0, 2, 0, 0, 3, 2, 3, 3, 1, 4, 4, 3, 0, 3, 3, 0, 2, 0, 3, 0, 2, 0, 1, 2, 2, 3, 1, 0, 2, 1, 2, 3, 4, 2, 2, 0, 0, 4, 4, 2, 1, 0, 2, 3, 1, 4, 1, 3, 4, 4, 2, 4, 4, 1, 0, 2, 0, 2, 0, 0, 4, 3, 4, 2, 3, 0, 1, 1, 3, 3, 0, 3, 1, 3, 0, 1, 4, 4, 3, 4, 2, 2, 3, 2, 2, 2, 2, 4, 0, 2, 2, 3, 1, 1, 1, 1, 2, 4, 0, 3, 0, 4, 4, 2, 4, 2, 4, 0, 3, 0, 4, 0, 0, 0, 3, 0, 2, 4, 0, 0, 1, 1, 0, 1, 3, 3, 1, 1, 4, 2, 1, 2, 2, 4, 1, 2, 4, 0, 3, 3, 1, 2, 3, 1, 2, 4, 4, 3, 4, 3, 4, 0, 4, 4, 0, 2, 1, 3, 3, 2, 3, 2, 4, 4, 2, 1, 4, 0, 4, 3, 2, 3, 4, 3, 2, 4, 1, 3, 3, 3, 3, 3, 4, 0, 2, 3, 1, 2, 3, 2, 1, 2, 0, 0, 3, 3, 3, 2, 1, 3, 3, 0, 4, 2, 3, 3, 1, 4, 1, 2, 4, 4, 0, 4, 1, 2, 0, 1, 4, 2, 4, 1, 1, 0, 1, 1, 4, 4, 0, 3, 1, 0, 2, 4, 0, 1, 2, 3, 2, 2, 4, 3, 2, 3, 0, 3, 2, 2, 3, 1, 0, 0, 1, 2, 4, 4, 0, 2, 4, 4, 4, 0, 3, 4, 1, 1, 4, 1, 3, 4, 4, 0, 3, 4, 2, 2, 1, 2, 2, 0, 2, 2, 0, 3, 0, 0, 2, 4, 4, 0, 4, 3, 4, 3, 4, 3, 4, 1, 3, 2, 1, 2, 3, 1, 0, 3, 1, 0, 0, 3, 2, 2, 1, 3, 4, 1] pubkeycol424 = [2, 1, 3, 0, 0, 0, 1, 0, 1, 3, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 4, 0, 4, 3, 2, 4, 3, 2, 0, 2, 0, 3, 0, 0, 2, 4, 2, 1, 2, 1, 4, 3, 0, 3, 0, 3, 0, 0, 4, 2, 4, 4, 0, 1, 4, 4, 1, 3, 3, 2, 0, 0, 4, 2, 4, 1, 4, 1, 4, 4, 3, 4, 0, 3, 1, 4, 2, 4, 2, 2, 2, 4, 1, 3, 4, 4, 0, 4, 4, 3, 1, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 3, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 4, 3, 1, 1, 1, 0, 4, 4, 4, 3, 3, 2, 0, 3, 4, 1, 2, 0, 1, 2, 4, 0, 3, 4, 0, 0, 2, 1, 1, 0, 4, 1, 3, 2, 4, 4, 3, 2, 4, 0, 2, 0, 4, 0, 3, 3, 1, 1, 1, 4, 3, 4, 4, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 0, 3, 0, 1, 0, 4, 0, 4, 3, 3, 3, 3, 0, 1, 0, 2, 0, 1, 3, 4, 2, 2, 1, 4, 0, 2, 1, 2, 3, 0, 2, 3, 0, 0, 1, 1, 0, 4, 4, 2, 4, 1, 0, 1, 2, 3, 1, 1, 2, 3, 2, 1, 0, 0, 3, 4, 0, 0, 2, 4, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 3, 4, 0, 4, 3, 1, 0, 0, 0, 2, 4, 0, 3, 1, 1, 1, 3, 3, 3, 0, 1, 3, 1, 3, 3, 3, 3, 2, 1, 0, 1, 0, 0, 3, 4, 0, 1, 4, 4, 3, 0, 0, 4, 0, 0, 0, 4, 1, 3, 2, 4, 0, 4, 4, 4, 2, 2, 0, 2, 3, 4, 0, 0, 1, 4, 2, 3, 3, 2, 0, 3, 1, 1, 4, 0, 2, 1, 2, 0, 4, 0, 3, 4, 1, 1, 3, 4, 1, 4, 2, 2, 2, 0, 2, 1, 3, 4, 3, 0, 4, 0, 2, 1, 2, 3, 3, 1, 4, 4, 0, 2, 2, 1, 3, 4, 2, 1, 3, 3, 1, 3, 3, 3, 0, 2, 1, 0, 2, 2, 4, 2, 2, 2, 3, 1, 3, 1, 1, 1, 4, 2, 0, 2, 2, 0, 3, 4, 1, 4, 1, 0, 0] pubkeycol425 = [4, 0, 1, 3, 1, 3, 3, 4, 2, 4, 4, 4, 4, 4, 0, 4, 1, 2, 4, 2, 2, 0, 0, 0, 3, 2, 0, 4, 4, 4, 1, 2, 1, 1, 3, 4, 2, 2, 2, 4, 2, 0, 0, 1, 1, 3, 0, 3, 1, 2, 0, 3, 2, 1, 1, 1, 1, 4, 0, 3, 4, 4, 0, 0, 2, 1, 4, 1, 1, 4, 4, 3, 1, 1, 0, 4, 0, 4, 4, 2, 4, 2, 4, 3, 4, 2, 0, 3, 3, 1, 3, 0, 2, 3, 2, 1, 3, 2, 1, 1, 2, 0, 0, 2, 3, 2, 1, 4, 0, 3, 3, 4, 2, 3, 2, 4, 3, 4, 0, 2, 0, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 0, 1, 2, 0, 0, 2, 0, 2, 4, 4, 0, 3, 1, 4, 0, 4, 3, 0, 4, 1, 4, 0, 3, 3, 3, 0, 2, 4, 0, 2, 3, 4, 2, 2, 2, 3, 0, 1, 3, 0, 1, 4, 0, 2, 2, 2, 0, 4, 2, 3, 2, 0, 2, 0, 2, 3, 1, 3, 4, 2, 0, 0, 2, 3, 3, 2, 4, 4, 4, 2, 4, 1, 1, 4, 1, 0, 1, 4, 2, 3, 0, 1, 4, 2, 3, 3, 3, 0, 1, 3, 3, 1, 0, 4, 2, 4, 0, 0, 2, 0, 3, 1, 1, 0, 2, 4, 0, 3, 3, 0, 4, 3, 3, 4, 3, 1, 3, 0, 0, 4, 1, 0, 2, 4, 4, 2, 4, 3, 2, 1, 4, 0, 0, 0, 4, 4, 2, 4, 4, 1, 2, 0, 4, 1, 1, 1, 1, 4, 4, 0, 4, 2, 4, 0, 1, 3, 2, 2, 4, 3, 1, 2, 4, 1, 1, 1, 1, 2, 3, 2, 2, 0, 2, 0, 0, 2, 4, 0, 1, 2, 2, 4, 1, 3, 0, 2, 4, 4, 4, 3, 4, 3, 4, 1, 0, 3, 4, 4, 1, 3, 1, 0, 0, 0, 3, 3, 2, 1, 2, 0, 3, 4, 2, 1, 2, 2, 1, 2, 4, 1, 2, 2, 3, 4, 3, 0, 4, 1, 3, 4, 2, 1, 3, 0, 2, 2, 3, 4, 3, 1, 3, 0, 0, 0, 2, 0, 0, 1, 2, 1, 3, 3, 0, 2, 2, 2, 0, 4, 1, 0, 2, 4, 3, 1, 2, 4, 1, 0, 0] pubkeycol426 = [4, 3, 0, 2, 3, 3, 4, 1, 4, 2, 4, 1, 3, 4, 0, 0, 0, 0, 3, 2, 2, 1, 3, 1, 4, 4, 3, 0, 2, 4, 1, 3, 4, 4, 3, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 3, 2, 1, 0, 2, 0, 1, 4, 0, 0, 2, 1, 4, 0, 4, 3, 3, 0, 2, 1, 0, 1, 3, 3, 2, 2, 1, 4, 1, 0, 4, 1, 1, 0, 4, 3, 0, 4, 0, 3, 1, 0, 1, 1, 0, 2, 2, 0, 0, 3, 1, 4, 4, 1, 3, 2, 1, 4, 1, 4, 2, 0, 0, 0, 0, 4, 0, 4, 2, 2, 2, 1, 4, 1, 4, 3, 3, 4, 2, 0, 2, 3, 0, 3, 3, 1, 4, 1, 2, 0, 1, 4, 1, 2, 0, 2, 3, 2, 0, 1, 4, 0, 0, 2, 0, 3, 0, 1, 0, 0, 0, 2, 1, 2, 0, 4, 2, 1, 1, 1, 4, 3, 2, 3, 0, 1, 1, 0, 2, 4, 3, 1, 3, 3, 3, 3, 0, 4, 3, 0, 0, 1, 3, 4, 1, 2, 4, 2, 3, 0, 3, 0, 0, 2, 3, 3, 0, 4, 1, 1, 0, 2, 3, 3, 2, 1, 1, 4, 2, 3, 2, 1, 0, 4, 1, 3, 3, 4, 2, 4, 0, 2, 4, 4, 3, 2, 2, 2, 3, 3, 2, 4, 4, 4, 4, 4, 2, 2, 2, 2, 0, 1, 4, 0, 1, 1, 4, 3, 0, 0, 4, 2, 3, 0, 0, 3, 3, 4, 1, 1, 3, 2, 1, 4, 3, 2, 4, 3, 3, 2, 4, 2, 3, 1, 4, 4, 3, 0, 0, 4, 3, 1, 1, 0, 3, 3, 1, 4, 0, 2, 2, 2, 2, 2, 0, 4, 4, 1, 0, 0, 4, 2, 2, 0, 4, 4, 0, 2, 4, 3, 1, 2, 2, 2, 0, 4, 3, 0, 3, 4, 4, 4, 0, 2, 3, 1, 3, 1, 3, 2, 1, 4, 3, 2, 4, 1, 1, 1, 4, 1, 0, 4, 2, 0, 0, 0, 1, 2, 4, 2, 0, 4, 0, 3, 1, 2, 4, 1, 4, 3, 2, 3, 3, 3, 0, 3, 2, 0, 2, 4, 1, 1, 4, 0, 4, 1, 4, 3, 3, 4, 0, 1, 4, 4, 1, 2, 1, 0, 0, 4, 0, 4, 4, 1, 3] pubkeycol427 = [0, 2, 0, 3, 0, 3, 1, 3, 2, 2, 2, 3, 2, 0, 3, 0, 0, 3, 3, 4, 2, 1, 1, 1, 3, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 1, 4, 0, 3, 3, 1, 4, 4, 1, 4, 4, 4, 0, 2, 4, 4, 1, 4, 2, 0, 0, 4, 2, 3, 0, 3, 2, 2, 1, 4, 3, 3, 0, 2, 0, 0, 0, 0, 2, 4, 4, 3, 4, 0, 3, 2, 4, 4, 3, 0, 4, 2, 0, 4, 1, 0, 1, 4, 2, 3, 3, 1, 4, 1, 0, 0, 2, 2, 3, 0, 4, 0, 1, 2, 0, 0, 3, 4, 3, 4, 3, 2, 2, 3, 2, 1, 0, 0, 2, 0, 4, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 4, 3, 2, 3, 4, 4, 3, 0, 3, 1, 3, 1, 1, 4, 4, 3, 1, 1, 3, 1, 2, 1, 3, 2, 2, 3, 0, 3, 2, 2, 4, 3, 4, 0, 4, 2, 1, 2, 1, 0, 2, 3, 1, 1, 0, 4, 3, 3, 0, 3, 3, 4, 2, 4, 1, 2, 2, 1, 0, 2, 3, 0, 3, 4, 2, 1, 0, 3, 3, 0, 4, 0, 3, 1, 0, 0, 2, 4, 3, 4, 4, 0, 3, 1, 4, 3, 3, 0, 0, 4, 0, 3, 2, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 0, 2, 0, 3, 2, 2, 3, 4, 4, 0, 3, 2, 2, 0, 1, 3, 2, 1, 1, 1, 4, 4, 3, 0, 2, 3, 1, 3, 4, 0, 3, 1, 3, 3, 1, 2, 0, 2, 4, 2, 0, 1, 0, 4, 1, 4, 1, 1, 0, 3, 0, 3, 1, 4, 4, 4, 0, 4, 4, 3, 3, 4, 3, 1, 3, 2, 0, 0, 0, 1, 1, 4, 0, 0, 0, 3, 3, 1, 1, 1, 4, 2, 2, 3, 1, 2, 3, 1, 4, 1, 0, 2, 1, 3, 4, 3, 0, 3, 2, 4, 1, 3, 3, 0, 2, 1, 0, 2, 3, 1, 3, 0, 4, 0, 1, 4, 3, 4, 2, 3, 4, 4, 3, 0, 0, 4, 2, 1, 2, 2, 1, 0, 0, 4, 3, 3, 1, 0, 2, 4, 2, 0, 4, 1, 3, 2, 0, 3] pubkeycol428 = [1, 1, 3, 1, 3, 2, 0, 4, 1, 3, 2, 3, 0, 3, 4, 1, 0, 1, 4, 2, 4, 4, 0, 3, 2, 0, 0, 3, 3, 1, 4, 1, 0, 0, 2, 4, 0, 2, 1, 1, 4, 1, 2, 4, 0, 4, 2, 4, 2, 0, 4, 4, 2, 0, 4, 4, 2, 3, 4, 3, 1, 4, 2, 4, 0, 4, 1, 1, 0, 3, 2, 1, 2, 1, 4, 3, 3, 4, 3, 4, 2, 2, 2, 0, 1, 4, 0, 0, 3, 1, 2, 0, 1, 0, 0, 4, 0, 1, 0, 0, 1, 1, 4, 2, 4, 0, 4, 4, 2, 0, 3, 1, 1, 4, 4, 4, 2, 4, 4, 1, 0, 2, 3, 4, 1, 1, 0, 3, 4, 2, 2, 1, 0, 2, 2, 3, 4, 4, 3, 0, 0, 3, 4, 0, 3, 0, 0, 3, 1, 4, 2, 3, 3, 3, 4, 4, 0, 2, 2, 2, 1, 1, 3, 3, 4, 3, 0, 1, 2, 1, 1, 0, 3, 3, 1, 2, 2, 2, 0, 1, 4, 3, 4, 3, 2, 2, 1, 2, 0, 0, 2, 0, 3, 4, 3, 3, 4, 0, 3, 4, 4, 3, 2, 1, 2, 0, 3, 3, 4, 4, 1, 4, 0, 4, 4, 0, 3, 3, 2, 4, 1, 1, 2, 2, 4, 4, 1, 3, 0, 3, 0, 0, 0, 4, 1, 2, 3, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 3, 1, 3, 3, 2, 0, 4, 0, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 2, 3, 2, 2, 2, 0, 1, 4, 4, 4, 3, 0, 0, 3, 2, 1, 3, 4, 3, 3, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 4, 3, 1, 2, 1, 3, 2, 3, 4, 0, 4, 4, 4, 2, 1, 1, 2, 2, 4, 2, 4, 0, 1, 2, 0, 3, 1, 2, 3, 1, 1, 3, 0, 0, 4, 3, 1, 0, 2, 1, 3, 4, 0, 0, 4, 0, 2, 4, 4, 1, 4, 1, 3, 4, 1, 3, 0, 4, 4, 0, 2, 2, 1, 2, 2, 3, 0, 3, 4, 2, 2, 1, 4, 1, 0, 2, 1, 0, 0, 0, 1, 1, 3, 1, 4, 3, 2, 3, 4, 0, 1, 2, 3, 0, 0, 2, 2, 2, 0, 1, 1, 1, 3, 3] pubkeycol429 = [2, 3, 4, 1, 4, 2, 2, 2, 0, 1, 3, 1, 0, 1, 0, 2, 4, 0, 2, 4, 4, 0, 0, 2, 3, 4, 3, 0, 1, 2, 3, 0, 0, 1, 2, 1, 1, 3, 1, 3, 4, 3, 2, 3, 1, 3, 1, 3, 2, 1, 4, 2, 0, 3, 1, 0, 3, 1, 4, 0, 0, 1, 4, 1, 3, 0, 1, 3, 1, 3, 0, 4, 0, 4, 4, 2, 0, 0, 4, 4, 2, 4, 0, 4, 0, 1, 1, 3, 0, 1, 4, 0, 1, 3, 2, 0, 4, 3, 4, 4, 1, 4, 4, 4, 3, 0, 2, 4, 2, 4, 1, 2, 4, 2, 2, 3, 3, 1, 3, 3, 2, 2, 1, 4, 2, 0, 0, 4, 3, 0, 2, 1, 3, 4, 3, 2, 1, 4, 1, 0, 1, 0, 1, 0, 4, 3, 3, 4, 1, 0, 3, 0, 3, 0, 1, 4, 0, 0, 4, 0, 1, 3, 1, 2, 0, 1, 1, 3, 4, 4, 3, 0, 2, 4, 0, 0, 2, 3, 4, 2, 2, 4, 0, 0, 4, 3, 2, 0, 0, 4, 2, 3, 4, 1, 4, 3, 4, 1, 3, 2, 3, 4, 1, 2, 2, 1, 4, 0, 4, 0, 1, 3, 2, 0, 2, 0, 3, 0, 2, 1, 0, 0, 1, 0, 3, 4, 1, 2, 3, 1, 3, 1, 4, 1, 4, 4, 1, 0, 2, 3, 3, 3, 1, 0, 4, 3, 3, 1, 1, 0, 2, 2, 3, 2, 2, 0, 3, 0, 1, 3, 2, 4, 1, 3, 2, 3, 3, 0, 2, 1, 4, 0, 3, 1, 4, 2, 4, 1, 2, 1, 4, 0, 1, 2, 4, 3, 4, 1, 0, 1, 2, 0, 2, 2, 3, 0, 2, 4, 1, 4, 3, 1, 2, 1, 4, 1, 3, 2, 2, 0, 1, 2, 2, 4, 3, 1, 0, 0, 3, 4, 3, 3, 2, 0, 3, 4, 3, 0, 3, 4, 1, 1, 1, 4, 0, 1, 0, 2, 1, 1, 3, 0, 4, 2, 1, 4, 2, 3, 3, 1, 4, 3, 1, 2, 2, 0, 4, 1, 4, 3, 4, 4, 0, 2, 1, 0, 2, 0, 2, 0, 4, 3, 0, 3, 1, 0, 1, 4, 2, 1, 3, 3, 3, 3, 4, 1, 1, 2, 4, 0, 4, 4, 4, 4, 0, 4, 1, 1, 4, 4] pubkeycol430 = [3, 1, 1, 4, 0, 4, 4, 0, 4, 2, 0, 2, 0, 4, 2, 0, 0, 1, 4, 3, 0, 0, 2, 4, 3, 3, 1, 1, 2, 4, 4, 1, 4, 4, 1, 3, 4, 4, 2, 1, 3, 4, 1, 2, 4, 3, 0, 1, 2, 3, 3, 0, 3, 2, 2, 3, 2, 3, 0, 3, 0, 0, 2, 2, 3, 4, 1, 1, 3, 2, 2, 2, 2, 0, 4, 1, 1, 4, 2, 1, 4, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 3, 3, 3, 4, 2, 1, 4, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 1, 2, 1, 2, 3, 4, 4, 4, 2, 3, 3, 4, 3, 0, 1, 4, 0, 2, 4, 2, 3, 0, 3, 4, 2, 1, 0, 3, 4, 4, 1, 0, 3, 3, 0, 4, 1, 3, 2, 1, 3, 2, 3, 1, 4, 2, 4, 4, 4, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 3, 4, 2, 4, 4, 0, 2, 3, 0, 3, 2, 4, 1, 3, 2, 2, 1, 2, 3, 2, 2, 4, 1, 2, 4, 4, 3, 0, 2, 1, 0, 2, 0, 4, 2, 0, 4, 1, 0, 2, 0, 3, 1, 3, 3, 0, 2, 4, 1, 3, 3, 0, 1, 1, 2, 0, 4, 0, 1, 1, 0, 3, 1, 0, 1, 1, 4, 1, 3, 2, 4, 2, 2, 3, 0, 1, 1, 4, 2, 2, 2, 0, 0, 0, 4, 2, 2, 1, 2, 3, 4, 4, 0, 2, 4, 3, 2, 0, 1, 4, 0, 1, 0, 0, 0, 0, 1, 3, 2, 2, 1, 3, 4, 4, 0, 4, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 3, 4, 4, 1, 1, 0, 4, 1, 2, 4, 2, 0, 1, 0, 0, 1, 1, 3, 2, 3, 3, 3, 1, 2, 4, 0, 4, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 1, 0, 3, 1, 4, 1, 4, 0, 4, 3, 4, 1, 3, 3, 4, 2, 3, 3, 1, 4, 4, 1, 0, 0, 0, 0, 0, 3, 2, 3, 4, 4, 4, 2, 3, 4, 1, 2, 1, 4, 1, 2, 3, 2, 1, 4, 3, 4, 2, 1, 1, 1, 3, 3, 1, 0, 3, 4, 3, 0, 1, 2, 4, 3, 3] pubkeycol431 = [3, 3, 0, 3, 1, 4, 0, 2, 4, 2, 3, 2, 4, 2, 1, 0, 3, 4, 3, 1, 3, 2, 3, 3, 1, 4, 4, 3, 2, 4, 0, 4, 0, 3, 2, 3, 1, 3, 2, 1, 2, 1, 4, 3, 4, 0, 1, 1, 1, 1, 4, 3, 1, 4, 2, 2, 3, 4, 4, 1, 2, 1, 2, 1, 4, 0, 1, 0, 1, 3, 2, 2, 0, 4, 2, 4, 1, 1, 3, 4, 4, 1, 4, 2, 3, 0, 3, 2, 4, 1, 3, 3, 3, 3, 0, 3, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 4, 2, 1, 2, 4, 2, 2, 1, 4, 0, 3, 0, 1, 1, 1, 4, 0, 0, 4, 3, 4, 2, 2, 4, 1, 4, 2, 0, 1, 3, 0, 1, 0, 2, 4, 3, 0, 0, 2, 0, 1, 1, 4, 4, 4, 1, 3, 1, 3, 3, 0, 4, 3, 3, 3, 3, 1, 1, 2, 0, 1, 4, 3, 3, 4, 2, 1, 4, 0, 0, 2, 1, 1, 0, 4, 3, 3, 4, 2, 1, 3, 4, 4, 0, 0, 0, 1, 3, 3, 1, 3, 3, 1, 3, 3, 0, 4, 2, 3, 4, 0, 3, 1, 2, 3, 3, 4, 2, 2, 0, 0, 3, 4, 0, 2, 0, 3, 3, 0, 3, 1, 0, 0, 2, 2, 3, 2, 2, 3, 1, 0, 4, 3, 4, 1, 2, 3, 0, 1, 4, 2, 3, 0, 3, 1, 3, 4, 2, 3, 3, 2, 2, 4, 3, 4, 0, 2, 4, 3, 3, 3, 2, 0, 1, 4, 0, 2, 4, 4, 0, 0, 0, 0, 0, 1, 4, 1, 0, 1, 1, 2, 1, 3, 3, 4, 4, 0, 3, 0, 4, 2, 3, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 3, 4, 1, 3, 0, 3, 3, 1, 1, 1, 2, 3, 3, 2, 0, 1, 2, 4, 4, 4, 1, 3, 2, 0, 2, 0, 4, 0, 3, 4, 0, 4, 0, 3, 2, 1, 3, 4, 3, 1, 3, 2, 2, 0, 3, 2, 3, 0, 2, 0, 1, 3, 1, 1, 2, 0, 0, 1, 2, 2, 3, 3, 3, 3, 0, 2, 3, 0, 2, 2, 2, 3, 0, 4, 4, 4, 4, 2, 2, 0, 1, 1, 4, 0, 2, 3, 0, 1, 2, 1, 2, 3] pubkeycol432 = [3, 4, 4, 4, 0, 2, 0, 0, 3, 2, 3, 0, 0, 4, 0, 4, 3, 2, 4, 4, 0, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 4, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 4, 4, 3, 4, 2, 1, 3, 3, 1, 1, 4, 3, 2, 3, 0, 3, 4, 0, 4, 1, 0, 3, 1, 4, 3, 3, 2, 1, 1, 3, 1, 4, 2, 0, 1, 4, 2, 0, 2, 3, 1, 3, 0, 1, 1, 1, 3, 4, 0, 0, 0, 1, 1, 0, 3, 0, 4, 1, 2, 3, 0, 3, 4, 3, 2, 1, 3, 4, 1, 2, 2, 4, 0, 1, 2, 3, 4, 3, 3, 3, 4, 3, 1, 3, 1, 3, 0, 1, 0, 3, 2, 0, 0, 3, 4, 4, 3, 2, 0, 4, 4, 0, 3, 1, 3, 4, 4, 0, 4, 0, 1, 4, 1, 4, 2, 0, 1, 1, 4, 0, 3, 2, 2, 2, 2, 1, 0, 3, 3, 3, 0, 0, 4, 3, 1, 3, 3, 2, 4, 4, 2, 4, 4, 0, 4, 3, 0, 2, 0, 3, 1, 4, 1, 0, 1, 4, 0, 1, 3, 3, 1, 3, 2, 1, 1, 2, 3, 4, 1, 3, 3, 0, 2, 0, 4, 2, 3, 3, 0, 0, 2, 0, 0, 1, 2, 3, 1, 4, 4, 2, 0, 3, 1, 1, 4, 1, 4, 0, 0, 3, 3, 1, 2, 3, 2, 3, 3, 0, 0, 4, 1, 1, 0, 3, 2, 1, 4, 2, 4, 2, 0, 2, 2, 0, 3, 0, 1, 2, 3, 1, 3, 0, 2, 0, 1, 4, 4, 4, 0, 2, 3, 1, 3, 4, 0, 4, 3, 2, 2, 3, 1, 0, 3, 3, 2, 4, 4, 2, 0, 3, 1, 3, 0, 4, 1, 1, 3, 2, 1, 1, 2, 4, 2, 0, 3, 3, 3, 4, 2, 0, 1, 4, 0, 2, 0, 2, 2, 2, 3, 4, 2, 3, 3, 4, 0, 2, 0, 0, 0, 4, 0, 0, 4, 1, 3, 1, 1, 1, 3, 4, 1, 4, 4, 1, 1, 1, 3, 0, 2, 1, 2, 1, 4, 2, 4, 3, 3, 1, 1, 1, 4, 3, 2, 0, 0, 1, 0, 0, 4, 3, 3, 3, 2, 4, 0, 3, 0, 1, 0, 2, 2, 1, 3, 3, 3, 2, 1, 1] pubkeycol433 = [1, 1, 1, 3, 3, 1, 3, 0, 2, 2, 3, 2, 3, 4, 2, 1, 0, 4, 0, 4, 1, 0, 1, 3, 1, 1, 1, 2, 0, 3, 4, 0, 1, 4, 0, 1, 2, 4, 1, 3, 0, 0, 0, 2, 0, 2, 4, 0, 4, 2, 0, 1, 3, 0, 3, 0, 4, 2, 1, 1, 0, 2, 3, 1, 0, 1, 2, 1, 3, 0, 1, 0, 1, 4, 2, 2, 0, 4, 0, 1, 2, 1, 0, 3, 3, 4, 4, 4, 0, 1, 4, 1, 0, 2, 4, 3, 0, 2, 1, 4, 1, 0, 4, 1, 4, 3, 4, 0, 3, 2, 3, 0, 4, 2, 0, 0, 3, 3, 3, 3, 3, 4, 2, 3, 1, 0, 1, 4, 3, 4, 2, 0, 2, 2, 1, 4, 2, 2, 1, 2, 1, 2, 2, 0, 4, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 4, 1, 3, 4, 3, 0, 2, 3, 4, 2, 4, 2, 0, 2, 2, 3, 3, 3, 0, 2, 0, 2, 0, 1, 3, 1, 2, 4, 2, 3, 2, 1, 1, 4, 2, 3, 0, 3, 1, 1, 3, 4, 3, 0, 0, 2, 2, 4, 2, 0, 1, 4, 0, 2, 0, 2, 2, 4, 4, 2, 4, 2, 4, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 3, 2, 1, 2, 3, 4, 4, 3, 4, 2, 0, 3, 3, 1, 1, 2, 3, 3, 2, 1, 0, 1, 4, 2, 2, 1, 0, 3, 0, 0, 3, 2, 3, 1, 4, 4, 4, 2, 2, 3, 2, 2, 0, 3, 3, 2, 1, 0, 1, 0, 3, 0, 2, 0, 1, 3, 1, 3, 1, 4, 0, 4, 4, 1, 3, 0, 3, 3, 4, 3, 1, 4, 0, 3, 0, 4, 2, 0, 0, 0, 1, 0, 3, 1, 4, 0, 0, 3, 2, 1, 2, 1, 4, 3, 1, 2, 2, 0, 1, 1, 1, 2, 3, 4, 4, 2, 4, 1, 4, 2, 3, 3, 1, 0, 3, 2, 3, 1, 4, 2, 4, 4, 3, 3, 4, 1, 1, 3, 2, 3, 0, 3, 0, 4, 3, 1, 3, 3, 4, 0, 0, 1, 2, 2, 4, 0, 2, 0, 1, 1, 2, 1, 4, 2, 0, 1, 4, 4, 1, 3, 2, 3, 2, 4, 0, 3, 2, 0, 4, 4, 1] pubkeycol434 = [1, 2, 2, 0, 2, 3, 0, 3, 0, 2, 2, 4, 2, 0, 4, 2, 4, 2, 0, 1, 4, 4, 2, 1, 0, 2, 0, 0, 2, 4, 1, 3, 2, 2, 0, 4, 0, 2, 0, 4, 0, 3, 1, 0, 3, 0, 0, 3, 1, 3, 1, 2, 0, 2, 0, 1, 3, 3, 2, 1, 0, 0, 3, 0, 1, 0, 3, 2, 3, 2, 1, 2, 0, 4, 4, 0, 1, 2, 4, 2, 2, 1, 4, 2, 2, 0, 1, 0, 4, 2, 3, 2, 0, 4, 4, 0, 1, 2, 0, 2, 2, 1, 2, 2, 3, 3, 2, 4, 2, 0, 3, 1, 4, 4, 3, 4, 1, 3, 0, 4, 0, 4, 4, 0, 4, 0, 0, 3, 0, 1, 1, 3, 3, 2, 0, 3, 0, 2, 2, 3, 3, 4, 2, 3, 1, 4, 4, 4, 0, 1, 0, 3, 2, 1, 1, 2, 2, 2, 4, 1, 1, 3, 3, 3, 4, 3, 1, 3, 0, 1, 2, 0, 4, 4, 3, 0, 4, 2, 0, 3, 2, 4, 3, 2, 2, 4, 3, 3, 0, 1, 2, 3, 4, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 4, 3, 4, 0, 4, 0, 4, 3, 3, 4, 4, 1, 1, 1, 1, 2, 0, 3, 4, 0, 3, 0, 3, 4, 4, 2, 1, 4, 0, 1, 3, 4, 1, 0, 1, 1, 4, 2, 3, 4, 2, 4, 3, 3, 0, 4, 0, 2, 3, 2, 0, 4, 2, 1, 0, 4, 4, 4, 0, 4, 3, 0, 4, 2, 3, 4, 2, 1, 2, 1, 3, 4, 2, 2, 0, 1, 1, 4, 2, 2, 0, 2, 4, 1, 0, 1, 3, 1, 2, 4, 4, 4, 0, 1, 1, 1, 3, 1, 0, 2, 0, 4, 4, 1, 2, 0, 2, 2, 4, 0, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 1, 3, 4, 1, 0, 1, 3, 4, 4, 4, 2, 0, 3, 0, 0, 3, 2, 0, 3, 3, 4, 2, 4, 4, 3, 3, 1, 2, 1, 2, 1, 3, 3, 3, 4, 2, 1, 2, 3, 1, 1, 4, 2, 4, 0, 3, 2, 0, 2, 3, 2, 2, 4, 1, 2, 2, 1, 3, 0, 3, 1, 4, 0, 1, 1, 0, 1, 1, 4, 1, 4, 1, 4, 0, 0, 3, 1] pubkeycol435 = [3, 0, 2, 2, 0, 2, 1, 1, 0, 3, 2, 1, 0, 4, 3, 2, 1, 4, 2, 1, 1, 2, 4, 3, 1, 2, 1, 2, 4, 0, 0, 0, 4, 3, 2, 0, 1, 3, 4, 4, 0, 2, 2, 2, 3, 2, 1, 4, 1, 0, 3, 0, 2, 2, 1, 4, 0, 4, 1, 1, 4, 3, 0, 2, 4, 1, 3, 2, 4, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 4, 4, 4, 2, 0, 0, 3, 4, 0, 3, 4, 3, 3, 4, 4, 1, 3, 2, 2, 1, 1, 1, 3, 3, 1, 2, 2, 0, 1, 2, 2, 3, 0, 1, 2, 2, 0, 0, 4, 2, 4, 4, 4, 2, 2, 4, 0, 4, 3, 3, 1, 1, 1, 0, 0, 1, 0, 3, 2, 3, 2, 4, 0, 4, 0, 3, 0, 3, 0, 2, 0, 3, 4, 4, 0, 1, 1, 4, 1, 4, 3, 1, 0, 0, 3, 2, 3, 4, 1, 3, 2, 2, 1, 4, 3, 1, 4, 1, 2, 3, 0, 2, 1, 4, 1, 3, 1, 2, 2, 1, 0, 4, 4, 0, 4, 1, 4, 1, 2, 1, 3, 4, 4, 4, 1, 0, 3, 2, 3, 2, 1, 3, 4, 0, 3, 3, 4, 0, 3, 1, 1, 4, 0, 1, 4, 2, 3, 1, 0, 3, 3, 2, 2, 2, 2, 2, 3, 4, 0, 4, 0, 0, 3, 0, 0, 3, 4, 1, 1, 0, 0, 4, 2, 1, 3, 2, 3, 2, 1, 2, 2, 1, 1, 3, 3, 3, 0, 4, 1, 2, 0, 4, 4, 0, 2, 4, 1, 2, 3, 3, 1, 1, 0, 2, 1, 3, 1, 0, 1, 3, 2, 1, 2, 0, 0, 3, 4, 4, 3, 0, 1, 3, 4, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 4, 3, 4, 4, 4, 2, 1, 0, 4, 3, 3, 0, 4, 0, 1, 2, 3, 0, 0, 1, 3, 3, 2, 3, 3, 0, 3, 3, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 3, 2, 3, 0, 4, 2, 0, 0, 0, 4, 0, 4, 2, 3, 1, 4, 4, 3, 1, 0, 3, 0, 2, 1, 0, 4, 0, 2, 4, 0, 0, 1, 0, 2, 2, 1, 4, 4, 3, 0, 2, 2, 4, 3] pubkeycol436 = [2, 4, 0, 3, 2, 0, 1, 4, 2, 4, 4, 4, 1, 0, 1, 0, 0, 1, 3, 4, 2, 1, 1, 2, 3, 4, 4, 2, 4, 0, 1, 0, 2, 2, 1, 4, 0, 1, 0, 1, 2, 0, 3, 3, 3, 3, 2, 4, 1, 0, 1, 4, 0, 1, 1, 4, 3, 4, 0, 2, 3, 3, 2, 2, 2, 1, 0, 4, 2, 3, 4, 4, 0, 1, 2, 2, 4, 1, 1, 3, 4, 2, 0, 2, 3, 2, 0, 0, 1, 3, 0, 2, 1, 0, 4, 0, 2, 3, 2, 0, 4, 2, 1, 3, 4, 0, 3, 1, 1, 1, 4, 0, 1, 0, 3, 3, 1, 2, 3, 4, 4, 0, 2, 2, 0, 1, 3, 0, 3, 4, 0, 4, 1, 2, 0, 4, 1, 3, 1, 4, 2, 4, 4, 2, 3, 2, 3, 2, 3, 2, 4, 3, 1, 2, 2, 4, 4, 0, 2, 3, 2, 0, 4, 4, 3, 3, 1, 3, 2, 3, 1, 4, 2, 0, 2, 4, 0, 3, 3, 3, 3, 3, 1, 3, 3, 2, 1, 0, 4, 2, 2, 1, 2, 2, 1, 2, 3, 4, 1, 1, 3, 0, 0, 0, 2, 0, 4, 0, 3, 3, 3, 3, 1, 3, 2, 0, 3, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 0, 4, 2, 0, 0, 0, 3, 1, 0, 1, 1, 0, 3, 1, 3, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 3, 4, 4, 0, 0, 0, 0, 1, 2, 3, 4, 1, 1, 4, 1, 3, 3, 4, 2, 2, 4, 4, 3, 0, 3, 3, 4, 2, 2, 3, 4, 1, 1, 3, 2, 4, 2, 4, 4, 1, 1, 4, 3, 3, 1, 2, 0, 0, 1, 4, 1, 0, 3, 4, 2, 2, 4, 1, 2, 2, 2, 4, 4, 2, 2, 3, 1, 1, 4, 3, 0, 3, 0, 3, 4, 1, 1, 0, 0, 3, 4, 0, 1, 2, 0, 0, 1, 2, 1, 4, 3, 2, 3, 2, 4, 1, 0, 2, 4, 4, 0, 2, 2, 4, 3, 1, 1, 3, 2, 4, 1, 1, 3, 0, 1, 0, 0, 1, 0, 1, 1, 4, 4, 2, 1, 4, 2, 3, 3, 3, 1, 2, 3, 4, 4, 1, 1, 1, 4, 2, 0, 4, 0, 4, 2, 2, 4, 1] pubkeycol437 = [4, 3, 3, 2, 4, 4, 1, 3, 3, 3, 3, 3, 4, 1, 0, 1, 3, 0, 2, 4, 4, 1, 2, 4, 0, 1, 3, 4, 0, 1, 0, 4, 2, 4, 3, 1, 0, 1, 2, 1, 2, 4, 3, 0, 0, 0, 3, 1, 1, 0, 3, 1, 2, 3, 1, 2, 3, 0, 2, 3, 1, 0, 4, 0, 3, 0, 0, 0, 0, 2, 1, 3, 4, 1, 4, 3, 3, 0, 3, 2, 4, 4, 1, 1, 1, 4, 2, 2, 3, 3, 3, 1, 2, 4, 3, 3, 0, 1, 3, 4, 0, 3, 3, 1, 1, 3, 2, 1, 1, 1, 1, 4, 2, 4, 1, 0, 2, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 0, 4, 2, 2, 2, 0, 0, 3, 1, 2, 1, 4, 0, 1, 1, 2, 2, 1, 1, 0, 3, 1, 3, 0, 1, 2, 1, 0, 0, 1, 1, 0, 3, 2, 1, 3, 2, 2, 4, 1, 4, 4, 0, 3, 2, 3, 0, 4, 4, 3, 1, 4, 1, 4, 2, 0, 4, 0, 1, 0, 3, 4, 1, 2, 3, 1, 0, 0, 0, 0, 3, 3, 1, 0, 0, 2, 3, 2, 2, 4, 0, 4, 1, 3, 0, 1, 4, 1, 3, 0, 3, 1, 3, 1, 1, 3, 1, 0, 1, 1, 3, 3, 2, 3, 2, 4, 0, 0, 1, 2, 3, 0, 2, 2, 3, 4, 4, 1, 3, 4, 3, 0, 1, 2, 0, 2, 1, 2, 3, 3, 0, 0, 4, 4, 2, 1, 2, 1, 3, 0, 4, 4, 2, 1, 2, 3, 1, 2, 0, 1, 4, 0, 4, 0, 4, 3, 0, 0, 1, 0, 1, 4, 1, 1, 1, 1, 3, 4, 2, 4, 3, 3, 3, 3, 3, 2, 4, 0, 3, 1, 3, 0, 0, 0, 3, 4, 2, 1, 3, 2, 3, 2, 2, 2, 2, 4, 1, 3, 4, 4, 0, 1, 4, 4, 3, 4, 1, 3, 0, 1, 4, 1, 4, 4, 1, 0, 0, 1, 0, 0, 3, 3, 3, 0, 0, 1, 3, 4, 1, 0, 1, 4, 0, 4, 4, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 2, 3, 1, 3, 1, 1, 1, 4, 2, 2, 1, 1, 1, 4, 0, 2, 1, 1, 2, 4, 1, 2, 3, 0, 0] pubkeycol438 = [3, 1, 0, 2, 0, 2, 3, 1, 2, 3, 4, 3, 3, 4, 1, 2, 4, 4, 0, 4, 4, 4, 2, 3, 3, 4, 2, 3, 3, 3, 3, 4, 2, 2, 0, 4, 0, 0, 4, 3, 3, 1, 4, 2, 0, 0, 1, 4, 2, 3, 2, 4, 0, 0, 1, 2, 3, 0, 3, 4, 1, 0, 0, 1, 1, 1, 2, 4, 0, 1, 2, 0, 3, 1, 0, 4, 1, 1, 0, 4, 1, 4, 1, 1, 4, 1, 3, 1, 4, 3, 0, 0, 3, 3, 0, 0, 1, 3, 3, 4, 2, 3, 0, 3, 0, 4, 2, 4, 2, 3, 0, 3, 1, 1, 3, 2, 3, 3, 3, 4, 2, 1, 3, 2, 4, 1, 4, 3, 4, 0, 1, 2, 3, 1, 2, 0, 0, 0, 2, 4, 1, 3, 2, 2, 2, 3, 2, 0, 2, 0, 3, 1, 4, 2, 1, 1, 4, 2, 4, 4, 1, 2, 4, 1, 4, 3, 4, 1, 3, 4, 3, 0, 0, 3, 4, 1, 4, 3, 0, 2, 1, 2, 2, 0, 2, 2, 4, 1, 3, 3, 2, 4, 3, 0, 1, 4, 0, 1, 4, 0, 3, 3, 3, 2, 0, 1, 1, 4, 2, 2, 2, 0, 4, 1, 4, 0, 1, 2, 0, 3, 1, 3, 4, 4, 4, 2, 1, 3, 3, 4, 3, 1, 4, 4, 3, 1, 2, 4, 1, 4, 1, 3, 2, 2, 0, 0, 1, 4, 3, 0, 1, 2, 0, 0, 3, 4, 4, 1, 0, 4, 4, 0, 4, 4, 3, 4, 0, 1, 1, 0, 3, 1, 1, 2, 1, 1, 3, 0, 0, 3, 4, 0, 2, 4, 3, 4, 1, 0, 4, 1, 1, 1, 2, 2, 0, 1, 3, 4, 1, 3, 4, 4, 3, 4, 4, 1, 0, 1, 1, 1, 3, 3, 2, 1, 2, 4, 1, 4, 1, 3, 2, 4, 4, 0, 1, 1, 2, 3, 3, 4, 2, 3, 3, 0, 1, 0, 3, 0, 2, 4, 0, 3, 1, 1, 3, 1, 1, 0, 2, 2, 4, 4, 3, 1, 1, 3, 2, 0, 3, 1, 4, 3, 0, 4, 2, 2, 0, 1, 3, 0, 4, 2, 4, 0, 4, 1, 0, 2, 3, 3, 1, 3, 4, 4, 1, 3, 4, 3, 1, 4, 1, 1, 4, 1, 3, 1, 4, 0, 1, 1] pubkeycol439 = [2, 0, 1, 0, 4, 2, 4, 2, 1, 0, 3, 1, 0, 1, 1, 4, 1, 3, 4, 2, 0, 4, 4, 4, 0, 2, 4, 3, 0, 1, 3, 1, 2, 4, 0, 4, 3, 2, 3, 1, 3, 1, 4, 2, 2, 1, 3, 3, 0, 2, 4, 2, 0, 2, 2, 1, 4, 2, 3, 0, 0, 3, 3, 0, 2, 3, 3, 1, 2, 3, 3, 4, 3, 1, 3, 0, 0, 2, 4, 3, 1, 3, 3, 1, 2, 4, 0, 3, 2, 0, 4, 2, 4, 0, 0, 4, 1, 4, 4, 1, 1, 2, 0, 4, 3, 3, 2, 1, 4, 2, 2, 0, 0, 0, 4, 4, 2, 3, 0, 0, 3, 1, 4, 4, 4, 2, 3, 4, 2, 4, 3, 0, 0, 4, 3, 1, 4, 2, 4, 0, 4, 4, 3, 3, 0, 1, 1, 2, 4, 0, 0, 2, 1, 2, 2, 0, 1, 3, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 3, 2, 0, 3, 3, 4, 3, 4, 0, 0, 1, 3, 2, 3, 0, 0, 4, 1, 0, 1, 3, 4, 1, 1, 2, 1, 1, 3, 2, 3, 1, 4, 3, 4, 3, 3, 0, 1, 3, 3, 0, 0, 4, 2, 4, 1, 1, 4, 1, 4, 2, 2, 4, 4, 4, 3, 3, 0, 3, 3, 0, 1, 4, 4, 4, 2, 1, 3, 3, 0, 1, 4, 0, 1, 3, 0, 0, 4, 0, 1, 1, 2, 3, 4, 3, 4, 1, 0, 1, 3, 2, 4, 2, 4, 2, 4, 3, 0, 0, 0, 1, 0, 4, 0, 2, 0, 1, 3, 2, 2, 0, 4, 0, 0, 1, 4, 3, 3, 3, 1, 2, 1, 1, 3, 1, 4, 3, 4, 2, 1, 4, 0, 4, 1, 2, 0, 2, 3, 1, 0, 0, 3, 3, 4, 2, 3, 4, 4, 3, 4, 4, 3, 1, 0, 2, 4, 2, 3, 1, 4, 3, 1, 2, 4, 0, 3, 2, 4, 1, 4, 1, 4, 2, 1, 1, 2, 3, 2, 4, 3, 3, 0, 1, 2, 3, 3, 1, 1, 3, 0, 3, 2, 1, 1, 1, 0, 0, 3, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0, 4, 2, 4, 2, 0, 1, 1, 4, 2, 1, 4, 3, 0, 3, 3, 4, 2] pubkeycol440 = [0, 1, 3, 3, 4, 4, 0, 4, 0, 3, 4, 2, 1, 0, 0, 2, 4, 4, 1, 3, 1, 0, 3, 1, 0, 2, 3, 4, 0, 1, 1, 3, 2, 1, 1, 1, 2, 3, 4, 1, 4, 0, 1, 2, 0, 0, 2, 1, 2, 1, 3, 1, 2, 4, 0, 4, 2, 4, 2, 3, 1, 4, 0, 4, 4, 1, 4, 1, 4, 0, 4, 0, 2, 1, 2, 4, 3, 4, 3, 2, 2, 1, 2, 2, 1, 2, 3, 3, 2, 1, 1, 1, 0, 2, 2, 3, 1, 0, 2, 3, 4, 0, 3, 0, 3, 2, 1, 2, 3, 2, 1, 0, 2, 3, 2, 3, 2, 3, 1, 2, 3, 4, 3, 0, 3, 3, 0, 2, 2, 1, 1, 1, 4, 0, 0, 1, 2, 4, 0, 2, 1, 1, 2, 1, 4, 1, 3, 0, 1, 4, 3, 3, 0, 2, 3, 3, 4, 0, 3, 1, 3, 3, 3, 4, 3, 1, 3, 3, 4, 3, 0, 1, 4, 3, 0, 3, 0, 4, 2, 1, 4, 3, 0, 3, 4, 2, 0, 3, 0, 4, 2, 2, 0, 1, 2, 0, 2, 3, 2, 0, 4, 2, 3, 2, 0, 3, 3, 0, 0, 2, 2, 4, 3, 1, 3, 1, 2, 3, 2, 1, 2, 4, 4, 4, 4, 3, 2, 1, 4, 1, 4, 2, 3, 4, 2, 3, 0, 2, 1, 0, 1, 1, 2, 0, 3, 0, 0, 0, 1, 3, 2, 1, 1, 0, 1, 0, 3, 1, 1, 2, 3, 3, 4, 2, 1, 0, 1, 1, 0, 1, 3, 0, 0, 3, 4, 2, 4, 2, 4, 1, 1, 1, 4, 1, 1, 2, 0, 1, 4, 3, 0, 4, 0, 2, 1, 0, 2, 1, 3, 1, 2, 4, 0, 2, 2, 3, 1, 4, 1, 2, 2, 3, 0, 2, 3, 1, 4, 2, 4, 2, 4, 2, 1, 2, 4, 3, 4, 3, 4, 1, 3, 0, 1, 4, 3, 1, 3, 1, 0, 2, 0, 0, 4, 3, 1, 4, 3, 3, 2, 3, 3, 2, 4, 3, 0, 3, 4, 1, 2, 0, 0, 0, 4, 1, 1, 4, 2, 2, 2, 2, 0, 0, 3, 1, 2, 4, 2, 1, 4, 1, 3, 0, 3, 4, 3, 3, 1, 1, 4, 3, 4, 4, 0, 2, 3, 1, 2, 3, 2, 1] pubkeycol441 = [4, 0, 3, 0, 2, 0, 2, 4, 0, 3, 3, 4, 3, 1, 4, 3, 2, 2, 0, 0, 3, 3, 0, 1, 0, 2, 4, 4, 1, 3, 0, 0, 0, 3, 3, 1, 3, 2, 2, 2, 1, 0, 0, 4, 0, 0, 1, 3, 2, 1, 1, 2, 0, 3, 0, 1, 1, 2, 1, 2, 2, 4, 4, 0, 0, 4, 4, 2, 0, 4, 2, 1, 1, 4, 4, 4, 2, 3, 1, 4, 1, 2, 3, 1, 0, 1, 1, 0, 4, 4, 3, 3, 0, 3, 2, 2, 2, 1, 4, 3, 4, 1, 2, 4, 0, 1, 4, 1, 4, 3, 2, 2, 3, 2, 3, 1, 2, 4, 2, 4, 4, 2, 2, 0, 1, 0, 2, 4, 0, 4, 3, 0, 0, 4, 3, 4, 3, 4, 4, 3, 2, 0, 4, 3, 1, 2, 3, 3, 3, 3, 0, 1, 1, 1, 1, 2, 0, 3, 0, 0, 2, 4, 4, 3, 1, 4, 1, 4, 0, 2, 2, 0, 1, 4, 1, 2, 4, 3, 3, 1, 4, 4, 0, 3, 3, 3, 4, 4, 1, 0, 4, 2, 2, 2, 2, 4, 0, 0, 2, 0, 4, 1, 0, 0, 1, 2, 2, 4, 0, 4, 4, 1, 4, 2, 3, 0, 4, 4, 2, 0, 1, 0, 1, 4, 1, 3, 2, 4, 4, 2, 3, 2, 3, 3, 1, 4, 0, 0, 0, 2, 1, 0, 2, 0, 4, 3, 2, 1, 2, 1, 1, 3, 3, 2, 3, 2, 2, 3, 3, 0, 4, 1, 2, 4, 1, 3, 3, 1, 2, 2, 2, 2, 1, 1, 0, 4, 1, 3, 2, 4, 0, 0, 2, 1, 2, 3, 4, 0, 2, 0, 4, 1, 3, 3, 3, 2, 3, 0, 2, 3, 3, 2, 1, 4, 2, 3, 2, 2, 1, 0, 4, 4, 4, 4, 0, 2, 2, 4, 3, 2, 1, 0, 2, 2, 2, 1, 4, 1, 1, 2, 4, 4, 2, 3, 3, 3, 4, 4, 4, 0, 0, 1, 3, 1, 2, 4, 2, 1, 4, 2, 0, 4, 3, 4, 0, 2, 1, 2, 0, 4, 0, 4, 4, 4, 2, 0, 2, 1, 2, 0, 1, 0, 3, 3, 0, 2, 4, 1, 0, 0, 3, 4, 3, 2, 2, 3, 1, 0, 0, 2, 1, 3, 0, 0, 4, 3, 4, 3, 4, 3] pubkeycol442 = [1, 0, 1, 1, 1, 4, 3, 2, 4, 1, 1, 3, 1, 3, 4, 0, 4, 3, 2, 3, 3, 1, 4, 2, 1, 4, 3, 1, 0, 4, 3, 1, 0, 4, 2, 2, 4, 4, 2, 0, 2, 2, 1, 0, 0, 0, 1, 4, 4, 3, 0, 4, 1, 0, 0, 0, 4, 3, 3, 0, 4, 2, 2, 1, 4, 3, 1, 3, 0, 3, 2, 4, 1, 4, 3, 0, 4, 3, 0, 4, 1, 4, 2, 3, 0, 4, 3, 4, 4, 1, 4, 1, 2, 4, 2, 3, 0, 0, 0, 4, 1, 3, 0, 1, 4, 2, 3, 0, 1, 1, 3, 1, 2, 0, 4, 1, 1, 4, 4, 3, 4, 4, 3, 1, 4, 4, 0, 3, 4, 2, 1, 4, 1, 0, 0, 3, 4, 1, 3, 0, 1, 1, 4, 3, 0, 0, 1, 2, 3, 0, 2, 4, 1, 0, 2, 3, 1, 1, 3, 0, 2, 1, 2, 1, 2, 2, 1, 3, 1, 2, 4, 2, 3, 3, 2, 3, 3, 2, 2, 3, 1, 2, 3, 4, 0, 3, 2, 1, 1, 2, 2, 3, 3, 0, 0, 4, 2, 3, 4, 3, 1, 3, 3, 0, 1, 3, 1, 2, 3, 0, 3, 1, 3, 0, 3, 4, 3, 1, 2, 0, 1, 1, 2, 1, 4, 0, 4, 1, 1, 4, 1, 0, 3, 1, 0, 4, 4, 4, 2, 0, 4, 0, 1, 1, 1, 3, 2, 3, 4, 2, 2, 0, 4, 0, 3, 1, 3, 4, 4, 2, 0, 0, 0, 3, 1, 0, 4, 4, 1, 0, 3, 3, 1, 4, 0, 1, 0, 4, 0, 1, 2, 0, 1, 2, 2, 3, 4, 0, 3, 0, 3, 2, 0, 3, 4, 0, 3, 2, 2, 4, 2, 1, 2, 0, 0, 2, 1, 0, 3, 3, 1, 4, 1, 3, 2, 4, 3, 3, 0, 3, 0, 3, 4, 3, 1, 4, 2, 2, 3, 0, 4, 3, 4, 2, 1, 1, 3, 0, 2, 3, 0, 3, 3, 0, 3, 1, 1, 1, 4, 1, 0, 2, 4, 0, 2, 4, 1, 2, 4, 2, 1, 0, 1, 2, 4, 1, 1, 1, 1, 1, 3, 3, 0, 3, 1, 2, 4, 0, 0, 3, 1, 4, 2, 4, 1, 1, 0, 1, 4, 4, 0, 1, 2, 0, 2, 2, 0, 3, 4, 4] pubkeycol443 = [2, 0, 1, 3, 0, 1, 0, 0, 0, 0, 3, 4, 1, 3, 3, 3, 2, 0, 2, 3, 4, 0, 3, 1, 0, 2, 4, 3, 1, 2, 0, 2, 3, 3, 1, 2, 4, 1, 3, 3, 4, 3, 0, 4, 2, 2, 0, 3, 4, 2, 2, 1, 1, 3, 4, 0, 2, 0, 2, 1, 1, 0, 2, 4, 3, 2, 0, 2, 2, 3, 1, 0, 2, 4, 4, 4, 1, 3, 0, 1, 0, 2, 1, 2, 4, 0, 0, 4, 4, 2, 3, 1, 4, 2, 4, 2, 4, 2, 0, 1, 3, 4, 2, 1, 1, 2, 3, 3, 1, 0, 3, 2, 4, 4, 3, 2, 3, 0, 4, 1, 2, 1, 1, 4, 1, 4, 0, 1, 3, 4, 1, 0, 3, 3, 1, 3, 1, 3, 1, 4, 0, 1, 2, 4, 3, 2, 1, 2, 1, 0, 4, 1, 0, 2, 0, 1, 2, 4, 0, 1, 1, 0, 3, 0, 1, 1, 1, 3, 3, 3, 4, 1, 0, 1, 0, 2, 4, 3, 0, 1, 0, 0, 4, 3, 1, 3, 4, 1, 2, 2, 1, 4, 3, 4, 4, 0, 2, 0, 0, 3, 4, 1, 3, 4, 4, 0, 4, 4, 3, 3, 4, 4, 4, 2, 2, 1, 1, 3, 0, 2, 2, 4, 1, 0, 4, 0, 1, 2, 4, 3, 2, 1, 2, 0, 2, 2, 4, 3, 3, 0, 2, 1, 0, 4, 2, 0, 3, 2, 3, 2, 2, 3, 3, 3, 1, 4, 4, 4, 3, 4, 4, 4, 2, 1, 2, 1, 4, 0, 2, 2, 4, 1, 1, 1, 3, 0, 4, 3, 1, 0, 1, 1, 4, 0, 0, 2, 2, 0, 4, 4, 2, 4, 4, 0, 4, 4, 4, 2, 4, 2, 0, 3, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 3, 3, 1, 0, 0, 3, 4, 2, 2, 3, 4, 1, 1, 0, 3, 4, 1, 3, 1, 0, 4, 1, 3, 1, 2, 2, 0, 3, 2, 3, 2, 4, 0, 3, 3, 4, 3, 1, 1, 4, 0, 1, 2, 1, 4, 4, 2, 2, 4, 0, 4, 3, 0, 1, 1, 3, 1, 4, 0, 2, 2, 1, 4, 4, 1, 4, 4, 4, 3, 1, 2, 4, 2, 3, 0, 3, 2, 2, 3, 3, 4, 3, 2, 3, 3, 1, 1] pubkeycol444 = [0, 1, 3, 2, 1, 4, 4, 4, 0, 0, 3, 2, 1, 4, 2, 1, 2, 2, 4, 1, 2, 3, 1, 0, 2, 0, 0, 1, 4, 3, 1, 4, 2, 1, 2, 0, 1, 4, 2, 2, 3, 3, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 3, 3, 1, 0, 3, 3, 2, 4, 3, 1, 0, 2, 0, 1, 2, 2, 4, 4, 2, 1, 3, 4, 4, 2, 4, 0, 3, 0, 1, 0, 0, 3, 2, 3, 4, 0, 3, 0, 0, 2, 4, 4, 4, 4, 1, 1, 0, 1, 4, 0, 0, 4, 0, 1, 1, 1, 2, 3, 0, 0, 4, 4, 1, 3, 3, 1, 3, 0, 3, 4, 0, 3, 3, 3, 0, 1, 0, 2, 3, 1, 4, 2, 3, 2, 3, 1, 0, 1, 3, 4, 1, 1, 3, 1, 0, 1, 2, 2, 3, 1, 4, 3, 4, 4, 2, 4, 2, 2, 2, 1, 3, 4, 3, 4, 1, 2, 3, 0, 2, 1, 3, 1, 3, 3, 3, 4, 3, 1, 0, 2, 4, 1, 3, 2, 3, 3, 4, 0, 4, 3, 0, 1, 1, 0, 2, 3, 0, 3, 0, 1, 4, 3, 1, 0, 1, 4, 0, 4, 1, 2, 0, 0, 4, 1, 2, 3, 1, 3, 3, 1, 1, 2, 0, 3, 0, 0, 2, 3, 1, 1, 4, 1, 4, 1, 4, 3, 4, 0, 3, 3, 2, 0, 4, 2, 1, 1, 4, 0, 4, 0, 4, 1, 3, 2, 3, 2, 2, 4, 1, 2, 2, 1, 1, 2, 3, 0, 3, 2, 2, 3, 3, 1, 0, 3, 2, 3, 4, 1, 1, 1, 4, 0, 4, 0, 1, 3, 3, 0, 1, 1, 1, 3, 4, 3, 1, 2, 4, 2, 1, 3, 0, 2, 2, 3, 4, 4, 2, 0, 0, 1, 2, 2, 4, 4, 1, 4, 4, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 3, 4, 3, 1, 0, 3, 2, 3, 0, 1, 1, 3, 2, 3, 4, 0, 1, 0, 4, 0, 0, 4, 2, 0, 4, 2, 2, 3, 1, 1, 4, 2, 1, 1, 3, 1, 4, 3, 4, 3, 4, 1, 2, 2, 0, 0, 1, 0, 0, 2, 3, 3, 1, 4, 0, 0, 4, 1, 2, 1, 3, 2, 1, 4, 2, 2, 0, 4, 4, 4] pubkeycol445 = [4, 1, 4, 2, 3, 2, 0, 1, 1, 4, 0, 1, 2, 1, 3, 3, 3, 2, 1, 2, 2, 0, 0, 4, 0, 1, 1, 4, 4, 3, 4, 0, 4, 3, 1, 2, 2, 0, 1, 2, 3, 4, 1, 2, 3, 4, 1, 4, 1, 2, 4, 2, 4, 3, 4, 2, 2, 2, 4, 3, 2, 2, 1, 2, 4, 4, 3, 2, 3, 1, 2, 2, 0, 1, 2, 0, 3, 1, 4, 2, 3, 2, 3, 1, 0, 2, 0, 0, 4, 0, 2, 1, 0, 1, 1, 3, 4, 4, 3, 1, 1, 4, 2, 4, 3, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 1, 0, 2, 3, 0, 3, 0, 4, 1, 2, 0, 2, 1, 1, 3, 0, 2, 3, 1, 1, 3, 3, 4, 2, 1, 3, 1, 4, 3, 3, 1, 0, 0, 0, 2, 0, 4, 1, 3, 0, 1, 0, 2, 2, 2, 4, 3, 3, 3, 3, 2, 0, 3, 3, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 4, 3, 2, 3, 0, 1, 2, 1, 1, 4, 0, 4, 3, 0, 3, 2, 0, 0, 0, 3, 2, 4, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 3, 4, 2, 2, 4, 1, 3, 1, 1, 3, 3, 1, 3, 1, 4, 4, 1, 0, 2, 1, 2, 3, 0, 4, 0, 1, 3, 2, 4, 2, 3, 0, 1, 2, 4, 3, 4, 3, 0, 2, 0, 1, 3, 3, 3, 1, 3, 4, 2, 0, 3, 2, 4, 3, 4, 3, 2, 2, 3, 4, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 4, 2, 0, 1, 1, 1, 3, 3, 1, 3, 1, 4, 4, 1, 2, 4, 4, 2, 4, 1, 4, 3, 0, 1, 1, 3, 2, 3, 3, 4, 1, 1, 0, 0, 0, 3, 4, 1, 1, 2, 1, 2, 3, 0, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 0, 3, 2, 0, 2, 0, 2, 0, 0, 1, 2, 3, 3, 1, 2, 2, 3, 4, 0, 4, 4, 0, 2, 3, 4, 0, 3, 3, 4, 2, 4, 2, 3, 2, 4, 4, 1, 1, 0, 4, 1, 0, 3, 4, 2, 0, 4, 2, 4, 4, 4, 2, 0, 3, 3, 2, 1] pubkeycol446 = [4, 0, 3, 2, 1, 4, 1, 4, 3, 0, 1, 2, 3, 4, 3, 1, 0, 1, 4, 1, 2, 1, 1, 1, 1, 4, 2, 2, 0, 4, 0, 0, 2, 0, 3, 1, 0, 1, 3, 0, 2, 2, 1, 0, 1, 3, 0, 3, 4, 4, 1, 4, 1, 3, 2, 0, 4, 1, 0, 3, 0, 0, 2, 4, 2, 2, 0, 3, 0, 2, 3, 3, 1, 4, 3, 0, 3, 2, 0, 1, 4, 4, 2, 3, 4, 0, 0, 2, 4, 1, 0, 4, 3, 2, 1, 1, 2, 2, 1, 0, 0, 3, 2, 4, 1, 4, 2, 4, 2, 0, 4, 2, 0, 2, 3, 4, 4, 0, 4, 3, 0, 1, 3, 2, 0, 3, 1, 4, 0, 3, 0, 0, 4, 3, 1, 4, 1, 2, 4, 2, 0, 0, 0, 2, 0, 4, 0, 3, 0, 1, 4, 1, 3, 2, 4, 0, 1, 1, 1, 2, 3, 3, 3, 0, 2, 1, 2, 3, 1, 3, 4, 0, 1, 4, 1, 0, 4, 3, 1, 3, 2, 4, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 4, 3, 1, 0, 2, 2, 2, 3, 1, 2, 0, 2, 2, 2, 0, 4, 1, 4, 4, 2, 4, 4, 0, 2, 3, 1, 2, 2, 0, 2, 3, 2, 3, 4, 0, 2, 4, 2, 2, 2, 4, 1, 0, 3, 3, 1, 0, 3, 3, 0, 2, 2, 4, 1, 1, 4, 2, 2, 1, 4, 1, 2, 1, 2, 3, 4, 2, 0, 1, 1, 0, 1, 0, 2, 0, 3, 3, 3, 0, 0, 2, 0, 3, 3, 0, 3, 3, 2, 4, 0, 4, 4, 2, 2, 0, 0, 2, 1, 2, 3, 4, 2, 0, 2, 3, 4, 3, 0, 4, 0, 3, 0, 0, 3, 2, 1, 0, 2, 1, 4, 4, 4, 2, 3, 3, 4, 3, 3, 1, 3, 2, 3, 4, 3, 2, 4, 1, 2, 3, 2, 4, 4, 4, 2, 3, 2, 3, 1, 4, 4, 2, 2, 1, 3, 2, 1, 0, 0, 4, 4, 1, 0, 0, 3, 2, 2, 4, 1, 0, 2, 3, 2, 2, 2, 1, 3, 2, 0, 4, 4, 3, 2, 0, 1, 1, 4, 4, 4, 0, 1, 3, 1, 2, 2, 1, 2, 3, 4, 2, 1, 2, 3, 2, 0, 1, 4, 0, 3] pubkeycol447 = [1, 3, 1, 1, 0, 1, 4, 4, 4, 3, 4, 0, 3, 3, 1, 1, 4, 2, 0, 2, 1, 1, 2, 2, 4, 0, 0, 4, 2, 4, 0, 2, 4, 0, 3, 1, 3, 1, 1, 1, 2, 0, 3, 4, 1, 2, 3, 2, 3, 0, 2, 2, 4, 3, 0, 3, 3, 4, 2, 4, 0, 0, 3, 4, 3, 1, 2, 4, 1, 4, 1, 1, 1, 4, 3, 0, 1, 2, 3, 2, 1, 4, 3, 1, 2, 0, 2, 0, 4, 1, 4, 2, 3, 0, 4, 0, 0, 0, 2, 2, 2, 1, 3, 1, 0, 1, 4, 0, 1, 2, 0, 0, 0, 0, 4, 1, 4, 3, 2, 0, 4, 2, 0, 1, 0, 3, 4, 2, 2, 3, 2, 4, 1, 0, 4, 1, 0, 3, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 3, 2, 3, 4, 1, 2, 3, 0, 2, 0, 1, 2, 1, 4, 4, 2, 0, 2, 2, 3, 1, 0, 1, 2, 4, 0, 0, 3, 2, 0, 1, 4, 1, 1, 3, 4, 3, 4, 0, 0, 2, 2, 0, 1, 3, 1, 4, 3, 2, 4, 0, 0, 0, 1, 2, 2, 0, 0, 2, 4, 3, 4, 3, 1, 2, 4, 4, 0, 0, 2, 4, 1, 2, 0, 2, 2, 2, 2, 1, 1, 4, 1, 4, 3, 0, 2, 4, 0, 1, 4, 2, 3, 2, 0, 2, 1, 1, 2, 0, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 0, 2, 2, 1, 3, 1, 1, 2, 3, 0, 1, 1, 1, 1, 3, 2, 3, 2, 2, 2, 1, 2, 4, 1, 3, 0, 2, 1, 2, 1, 4, 1, 4, 1, 1, 3, 1, 1, 4, 0, 2, 3, 1, 1, 4, 4, 4, 1, 1, 4, 3, 2, 4, 0, 4, 2, 2, 0, 0, 4, 1, 2, 1, 0, 4, 4, 2, 3, 4, 1, 4, 4, 1, 0, 0, 2, 4, 1, 3, 4, 1, 4, 1, 3, 0, 1, 4, 0, 3, 3, 2, 1, 2, 1, 4, 0, 4, 3, 1, 4, 1, 4, 3, 4, 3, 2, 3, 2, 1, 3, 0, 1, 4, 2, 3, 0, 3, 1, 4, 3, 1, 0, 0, 0, 0, 4, 0, 1, 3, 0, 2, 2, 0, 2, 4, 3, 2, 1, 2, 4, 4, 1, 4] pubkeycol448 = [1, 1, 4, 3, 4, 4, 3, 3, 3, 3, 2, 3, 2, 2, 3, 0, 2, 0, 4, 2, 1, 4, 2, 1, 2, 3, 2, 0, 0, 1, 0, 1, 1, 3, 1, 2, 2, 4, 4, 2, 1, 3, 4, 3, 4, 3, 1, 1, 4, 2, 1, 2, 2, 2, 2, 2, 4, 2, 3, 3, 4, 2, 1, 4, 4, 2, 1, 3, 3, 0, 4, 0, 4, 3, 3, 2, 2, 1, 0, 2, 0, 3, 2, 1, 1, 2, 1, 0, 3, 3, 0, 1, 4, 4, 4, 2, 4, 4, 0, 1, 1, 4, 1, 1, 3, 3, 0, 2, 2, 3, 4, 1, 0, 0, 2, 0, 0, 1, 3, 4, 1, 2, 2, 3, 0, 3, 4, 3, 2, 1, 2, 3, 4, 1, 3, 1, 4, 2, 4, 1, 2, 4, 0, 4, 4, 1, 2, 4, 0, 3, 0, 4, 1, 0, 3, 2, 4, 0, 4, 3, 4, 0, 3, 1, 3, 2, 1, 0, 3, 1, 3, 4, 3, 3, 4, 2, 1, 4, 1, 0, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 1, 1, 4, 2, 0, 4, 0, 3, 1, 4, 1, 0, 4, 3, 2, 2, 4, 3, 4, 4, 1, 0, 0, 4, 4, 3, 2, 1, 2, 1, 1, 0, 1, 4, 3, 2, 0, 1, 1, 3, 0, 0, 4, 3, 0, 0, 3, 0, 2, 3, 3, 0, 1, 2, 4, 4, 2, 4, 4, 2, 1, 4, 3, 1, 1, 0, 3, 3, 3, 0, 4, 2, 1, 0, 4, 4, 0, 2, 1, 2, 3, 3, 4, 0, 3, 0, 0, 3, 0, 3, 4, 3, 0, 0, 0, 4, 2, 3, 1, 2, 4, 0, 3, 0, 0, 1, 1, 4, 3, 1, 4, 1, 1, 3, 0, 1, 1, 2, 0, 1, 1, 2, 1, 3, 2, 3, 3, 4, 4, 3, 0, 0, 3, 3, 4, 0, 4, 2, 2, 1, 1, 3, 1, 3, 2, 1, 4, 3, 3, 0, 3, 4, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 4, 3, 1, 3, 1, 3, 0, 0, 4, 1, 3, 1, 0, 3, 4, 2, 2, 3, 3, 1, 4, 4, 4, 1, 3, 4, 2, 0, 1, 1, 2, 1, 4, 1, 2, 2, 1, 0, 1, 2, 2, 4, 2, 4] pubkeycol449 = [1, 0, 2, 4, 3, 0, 4, 2, 0, 1, 4, 3, 4, 1, 1, 2, 4, 2, 2, 1, 1, 2, 1, 1, 4, 3, 3, 3, 0, 4, 0, 2, 3, 0, 3, 1, 1, 0, 4, 0, 4, 0, 0, 2, 4, 0, 4, 4, 4, 0, 0, 3, 3, 2, 1, 1, 1, 3, 4, 2, 3, 0, 0, 3, 2, 3, 2, 2, 3, 3, 3, 3, 0, 2, 4, 0, 4, 2, 4, 1, 3, 4, 2, 0, 1, 0, 4, 3, 0, 0, 4, 0, 0, 0, 0, 2, 4, 0, 4, 3, 2, 4, 3, 2, 1, 3, 0, 0, 0, 4, 1, 3, 3, 3, 1, 3, 3, 0, 0, 1, 3, 3, 0, 3, 0, 4, 3, 1, 3, 2, 3, 0, 2, 1, 4, 3, 0, 4, 3, 0, 1, 4, 4, 2, 0, 3, 2, 2, 3, 2, 4, 4, 3, 1, 1, 1, 2, 2, 2, 4, 1, 1, 2, 4, 2, 1, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 0, 0, 3, 3, 4, 0, 2, 4, 1, 1, 0, 0, 4, 4, 3, 2, 2, 3, 0, 4, 1, 3, 1, 3, 0, 3, 0, 0, 2, 4, 2, 1, 0, 2, 4, 2, 3, 2, 0, 1, 0, 0, 1, 1, 3, 1, 3, 1, 1, 3, 3, 1, 0, 0, 3, 2, 2, 3, 1, 0, 1, 4, 1, 2, 4, 3, 4, 4, 4, 4, 0, 4, 4, 2, 0, 4, 4, 2, 0, 2, 0, 3, 0, 2, 4, 1, 0, 1, 4, 2, 2, 4, 0, 4, 0, 0, 0, 4, 1, 3, 4, 1, 1, 0, 0, 1, 1, 0, 4, 0, 3, 3, 4, 0, 1, 2, 3, 2, 1, 3, 3, 1, 3, 1, 1, 4, 0, 1, 1, 1, 4, 1, 0, 3, 4, 0, 3, 1, 2, 1, 0, 2, 0, 4, 1, 0, 3, 0, 4, 4, 1, 3, 0, 4, 2, 4, 4, 3, 4, 1, 3, 2, 0, 0, 0, 4, 3, 0, 4, 0, 3, 0, 4, 1, 0, 3, 0, 3, 4, 0, 4, 1, 3, 4, 4, 2, 4, 3, 2, 0, 2, 3, 0, 0, 3, 3, 4, 4, 1, 3, 3, 3, 0, 1, 3, 1, 0, 3, 0, 2, 0, 3, 1, 3, 3, 2, 3, 1, 4, 1, 2, 0, 0, 1] pubkeycol450 = [4, 3, 0, 4, 4, 3, 2, 2, 0, 4, 2, 0, 1, 0, 3, 4, 2, 0, 2, 0, 3, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 3, 2, 3, 3, 0, 3, 1, 3, 2, 2, 4, 0, 3, 3, 4, 0, 1, 4, 0, 2, 0, 3, 3, 2, 3, 2, 1, 3, 2, 3, 1, 4, 3, 1, 2, 4, 0, 1, 1, 2, 3, 3, 1, 0, 3, 3, 1, 4, 4, 2, 0, 1, 1, 4, 1, 4, 0, 2, 1, 2, 4, 2, 3, 2, 3, 0, 0, 4, 3, 3, 3, 4, 0, 1, 3, 2, 3, 4, 0, 2, 4, 1, 4, 1, 3, 3, 4, 2, 2, 0, 4, 4, 3, 0, 3, 1, 1, 2, 1, 0, 4, 0, 2, 0, 2, 4, 1, 0, 1, 4, 4, 4, 3, 2, 1, 3, 2, 1, 1, 2, 4, 3, 3, 3, 1, 3, 3, 0, 3, 4, 0, 3, 2, 4, 1, 2, 3, 0, 1, 1, 4, 2, 3, 2, 4, 2, 1, 4, 3, 3, 3, 2, 3, 4, 2, 1, 1, 4, 1, 2, 3, 2, 2, 4, 2, 4, 1, 0, 3, 0, 0, 1, 2, 2, 4, 4, 0, 4, 3, 4, 0, 3, 1, 4, 3, 4, 3, 0, 1, 1, 1, 1, 0, 1, 2, 4, 4, 0, 4, 3, 3, 2, 0, 3, 3, 1, 3, 4, 4, 0, 0, 0, 3, 2, 4, 2, 3, 3, 2, 4, 1, 0, 3, 2, 2, 2, 4, 2, 3, 2, 3, 0, 4, 3, 4, 3, 3, 4, 3, 3, 3, 2, 2, 4, 1, 4, 1, 2, 2, 2, 4, 3, 2, 2, 2, 0, 4, 2, 1, 1, 2, 1, 0, 0, 4, 1, 3, 0, 2, 1, 0, 2, 0, 3, 2, 2, 4, 4, 2, 3, 0, 0, 0, 4, 0, 4, 3, 0, 0, 1, 0, 2, 4, 1, 2, 3, 3, 3, 4, 3, 3, 2, 2, 2, 2, 0, 0, 4, 1, 3, 0, 2, 2, 3, 2, 4, 3, 1, 1, 2, 4, 2, 3, 1, 1, 1, 4, 3, 3, 0, 3, 0, 1, 0, 1, 0, 4, 3, 4, 4, 4, 4, 0, 0, 4, 1, 2, 4, 0, 1, 4, 2, 4, 3, 0, 1, 4, 0, 4, 0, 2, 0, 1, 4, 2, 1, 4, 0, 0] pubkeycol451 = [3, 1, 0, 2, 4, 0, 0, 0, 3, 3, 4, 3, 0, 0, 4, 0, 4, 3, 4, 2, 0, 4, 2, 1, 1, 0, 4, 3, 1, 4, 2, 0, 1, 2, 4, 2, 0, 1, 1, 1, 3, 4, 1, 2, 3, 4, 1, 4, 2, 1, 0, 1, 4, 4, 0, 0, 0, 1, 1, 3, 0, 3, 0, 0, 1, 2, 3, 3, 2, 3, 1, 2, 0, 2, 0, 1, 4, 3, 2, 0, 1, 1, 3, 3, 2, 4, 2, 2, 0, 4, 1, 1, 2, 1, 4, 1, 0, 2, 0, 3, 0, 2, 1, 3, 2, 3, 0, 1, 2, 4, 2, 1, 3, 1, 3, 2, 3, 0, 0, 0, 4, 0, 3, 0, 4, 0, 0, 0, 4, 3, 4, 2, 1, 4, 0, 3, 4, 3, 3, 4, 0, 3, 0, 2, 1, 1, 4, 4, 0, 2, 2, 4, 0, 2, 0, 0, 2, 2, 0, 4, 2, 2, 0, 3, 1, 4, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 4, 3, 1, 3, 4, 3, 3, 3, 4, 4, 0, 4, 2, 0, 3, 3, 1, 1, 2, 1, 1, 0, 2, 3, 0, 0, 4, 4, 3, 4, 3, 4, 1, 0, 1, 0, 0, 1, 4, 2, 4, 2, 2, 3, 3, 4, 3, 2, 0, 3, 3, 0, 2, 4, 3, 2, 2, 1, 0, 1, 3, 3, 0, 2, 3, 3, 0, 4, 0, 4, 1, 3, 3, 4, 3, 0, 4, 0, 4, 1, 0, 3, 3, 1, 3, 4, 0, 0, 3, 2, 3, 2, 0, 0, 3, 3, 3, 1, 3, 2, 3, 0, 1, 4, 3, 3, 2, 0, 2, 3, 4, 4, 1, 2, 1, 2, 2, 0, 1, 4, 2, 0, 4, 2, 1, 1, 2, 4, 0, 0, 0, 1, 1, 4, 1, 0, 1, 1, 3, 0, 4, 1, 3, 2, 2, 2, 4, 3, 1, 3, 0, 1, 2, 4, 0, 0, 2, 3, 2, 1, 4, 2, 1, 0, 2, 4, 2, 0, 1, 2, 2, 3, 3, 1, 3, 4, 1, 2, 0, 2, 0, 0, 1, 1, 1, 4, 1, 3, 1, 3, 4, 4, 0, 3, 1, 1, 0, 1, 1, 3, 1, 3, 4, 2, 0, 1, 1, 0, 0, 3, 2, 4, 4, 4, 4, 4, 1, 2, 1, 4, 2, 4, 4] pubkeycol452 = [4, 3, 0, 0, 2, 1, 1, 2, 0, 3, 3, 0, 3, 2, 1, 3, 3, 1, 3, 0, 0, 0, 4, 4, 2, 2, 3, 4, 1, 0, 1, 3, 2, 3, 0, 0, 4, 0, 0, 1, 3, 2, 3, 3, 2, 4, 2, 3, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 1, 3, 2, 3, 2, 4, 2, 0, 3, 1, 3, 3, 2, 1, 0, 2, 4, 3, 3, 4, 4, 0, 0, 1, 1, 4, 3, 0, 2, 0, 3, 3, 2, 0, 0, 3, 4, 2, 2, 2, 4, 1, 4, 1, 0, 0, 2, 1, 3, 2, 1, 1, 1, 3, 2, 3, 0, 3, 2, 4, 1, 4, 3, 2, 2, 1, 0, 3, 3, 1, 0, 3, 1, 1, 3, 3, 4, 1, 0, 3, 0, 1, 2, 0, 3, 3, 1, 0, 3, 2, 2, 2, 0, 0, 0, 4, 1, 3, 3, 1, 0, 4, 4, 1, 1, 1, 1, 3, 3, 0, 1, 4, 0, 2, 4, 3, 3, 2, 1, 0, 2, 0, 3, 0, 4, 4, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 4, 3, 0, 4, 3, 0, 2, 4, 3, 0, 1, 3, 3, 1, 0, 2, 3, 4, 3, 1, 2, 4, 3, 4, 0, 0, 2, 1, 4, 2, 2, 2, 3, 0, 2, 0, 3, 4, 0, 2, 0, 4, 1, 1, 3, 3, 0, 3, 2, 2, 2, 0, 4, 0, 2, 2, 1, 2, 2, 3, 0, 1, 4, 1, 2, 2, 1, 2, 1, 3, 4, 3, 4, 4, 2, 4, 0, 0, 0, 4, 4, 2, 0, 4, 4, 4, 2, 4, 0, 2, 2, 1, 4, 1, 4, 3, 2, 2, 3, 2, 0, 1, 0, 1, 3, 3, 4, 1, 0, 4, 4, 2, 3, 2, 3, 2, 4, 3, 4, 2, 0, 0, 3, 3, 2, 2, 4, 3, 3, 3, 3, 1, 0, 4, 1, 1, 0, 0, 1, 2, 2, 2, 4, 1, 2, 1, 4, 0, 3, 3, 2, 3, 2, 4, 1, 3, 2, 2, 0, 1, 1, 2, 1, 1, 3, 1, 4, 0, 2, 4, 0, 2, 4, 3, 0, 2, 4, 3, 0, 3, 0, 3, 4, 2, 4, 0, 2, 3, 3, 2, 3, 4, 4, 0, 1, 3, 1, 4, 4, 3, 2] pubkeycol453 = [0, 3, 0, 3, 1, 4, 2, 4, 2, 4, 4, 2, 4, 1, 4, 2, 2, 3, 0, 0, 0, 0, 3, 3, 2, 4, 2, 3, 4, 1, 0, 1, 3, 4, 3, 1, 3, 4, 3, 0, 2, 0, 4, 4, 3, 0, 0, 4, 3, 1, 1, 4, 0, 1, 0, 1, 4, 1, 2, 3, 2, 0, 4, 1, 3, 1, 2, 4, 3, 1, 4, 0, 4, 4, 3, 3, 4, 2, 4, 3, 2, 3, 1, 0, 2, 3, 2, 4, 0, 4, 2, 2, 4, 1, 4, 2, 1, 0, 1, 4, 0, 0, 4, 0, 3, 0, 0, 0, 4, 0, 3, 2, 2, 4, 4, 1, 2, 0, 2, 4, 4, 1, 4, 0, 1, 4, 2, 2, 0, 2, 4, 4, 2, 4, 1, 1, 2, 4, 2, 2, 1, 4, 2, 0, 4, 0, 3, 4, 4, 3, 4, 4, 1, 1, 1, 2, 0, 4, 3, 4, 1, 0, 0, 3, 1, 4, 3, 4, 3, 4, 1, 0, 2, 2, 2, 2, 3, 4, 1, 4, 3, 2, 3, 0, 0, 4, 2, 3, 1, 0, 0, 3, 1, 0, 2, 0, 4, 3, 3, 3, 1, 3, 1, 1, 1, 1, 3, 4, 1, 3, 2, 4, 0, 0, 0, 1, 2, 4, 1, 3, 4, 1, 1, 4, 4, 1, 1, 4, 4, 4, 3, 3, 2, 4, 3, 4, 2, 3, 1, 0, 4, 4, 2, 2, 3, 3, 2, 1, 3, 4, 2, 1, 4, 0, 1, 0, 2, 4, 3, 1, 2, 4, 2, 2, 2, 3, 4, 4, 3, 1, 0, 0, 4, 2, 2, 3, 0, 0, 0, 0, 3, 3, 3, 1, 1, 0, 2, 0, 3, 1, 0, 0, 2, 3, 4, 2, 0, 4, 1, 3, 3, 0, 0, 4, 1, 0, 2, 0, 2, 3, 1, 2, 1, 0, 3, 4, 2, 2, 2, 1, 4, 2, 0, 0, 3, 1, 0, 0, 4, 4, 4, 0, 0, 3, 1, 2, 3, 0, 4, 0, 4, 2, 1, 0, 0, 0, 4, 2, 1, 0, 4, 1, 4, 1, 0, 3, 1, 1, 2, 3, 1, 2, 0, 1, 4, 3, 2, 3, 0, 2, 1, 1, 1, 1, 4, 1, 4, 2, 3, 0, 2, 1, 3, 4, 3, 2, 1, 0, 0, 1, 3, 3, 0, 4, 2, 0, 0, 1, 3, 0] pubkeycol454 = [1, 1, 2, 2, 3, 1, 4, 4, 4, 1, 3, 4, 3, 3, 1, 0, 1, 4, 1, 2, 3, 4, 3, 0, 1, 0, 4, 0, 0, 2, 0, 2, 1, 0, 3, 1, 2, 2, 1, 1, 0, 3, 4, 0, 2, 1, 0, 0, 1, 3, 0, 0, 3, 4, 2, 1, 3, 0, 2, 4, 1, 4, 4, 3, 4, 0, 0, 4, 0, 0, 1, 0, 3, 4, 0, 3, 4, 1, 1, 0, 3, 4, 2, 0, 0, 4, 1, 0, 4, 1, 4, 0, 4, 2, 4, 1, 1, 1, 0, 1, 0, 2, 2, 3, 2, 2, 4, 4, 0, 2, 4, 2, 0, 3, 3, 4, 4, 3, 1, 4, 2, 4, 2, 1, 3, 3, 0, 4, 2, 3, 4, 4, 4, 2, 3, 0, 0, 4, 1, 2, 1, 3, 2, 2, 1, 3, 3, 4, 2, 0, 3, 0, 3, 4, 3, 1, 2, 0, 0, 4, 4, 0, 1, 4, 4, 4, 4, 0, 2, 4, 2, 4, 2, 4, 3, 1, 3, 4, 0, 0, 3, 0, 2, 2, 2, 2, 0, 4, 2, 4, 2, 0, 3, 0, 4, 3, 2, 0, 4, 0, 2, 4, 2, 2, 2, 3, 4, 2, 1, 3, 3, 2, 3, 3, 2, 4, 1, 3, 4, 4, 4, 2, 0, 2, 3, 3, 4, 3, 0, 4, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 0, 0, 1, 3, 1, 2, 3, 4, 2, 2, 1, 2, 3, 4, 4, 1, 2, 4, 4, 0, 1, 2, 2, 3, 2, 2, 4, 0, 0, 4, 2, 0, 0, 4, 0, 0, 2, 2, 1, 1, 1, 1, 3, 4, 0, 2, 2, 2, 4, 0, 0, 1, 1, 4, 3, 4, 1, 2, 1, 1, 2, 4, 4, 0, 1, 2, 4, 2, 4, 0, 1, 1, 4, 1, 1, 1, 1, 4, 0, 4, 0, 4, 4, 4, 1, 2, 0, 2, 2, 1, 4, 1, 2, 4, 1, 3, 0, 3, 1, 4, 3, 2, 0, 2, 4, 4, 2, 2, 1, 3, 4, 3, 4, 2, 0, 1, 4, 0, 3, 3, 1, 2, 1, 3, 4, 3, 3, 1, 2, 1, 4, 0, 1, 2, 2, 0, 1, 2, 2, 3, 2, 0, 2, 0, 3, 4, 2, 4, 2, 4, 3, 3, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol455 = [1, 3, 4, 4, 4, 0, 3, 2, 3, 1, 3, 0, 4, 1, 0, 1, 0, 0, 1, 3, 1, 1, 4, 0, 0, 1, 2, 2, 1, 2, 3, 0, 4, 4, 3, 0, 2, 0, 2, 0, 0, 2, 3, 4, 4, 3, 2, 3, 2, 0, 4, 2, 4, 1, 1, 2, 4, 1, 1, 2, 1, 2, 4, 1, 4, 3, 1, 1, 1, 0, 4, 0, 2, 2, 1, 2, 0, 3, 4, 1, 2, 2, 2, 4, 4, 3, 1, 0, 0, 2, 0, 4, 4, 3, 1, 3, 4, 1, 3, 0, 0, 4, 1, 2, 4, 3, 3, 0, 4, 0, 4, 4, 1, 4, 2, 0, 0, 1, 2, 1, 3, 4, 1, 4, 2, 4, 2, 4, 4, 1, 0, 4, 3, 3, 1, 4, 1, 4, 1, 3, 3, 2, 3, 4, 1, 0, 4, 4, 2, 4, 3, 0, 4, 2, 3, 1, 1, 0, 4, 3, 2, 1, 2, 1, 4, 2, 2, 4, 3, 3, 3, 4, 3, 2, 3, 1, 3, 4, 1, 0, 2, 4, 1, 3, 0, 4, 4, 3, 2, 4, 3, 3, 1, 3, 0, 2, 2, 1, 1, 1, 3, 2, 4, 4, 1, 0, 2, 3, 2, 1, 3, 0, 1, 0, 4, 4, 2, 4, 4, 3, 3, 4, 0, 2, 1, 2, 1, 0, 1, 3, 2, 0, 3, 1, 1, 2, 4, 4, 1, 3, 3, 3, 3, 3, 4, 1, 3, 3, 2, 4, 0, 1, 4, 1, 1, 1, 2, 4, 2, 1, 1, 3, 0, 4, 3, 4, 3, 0, 4, 1, 1, 3, 0, 1, 3, 2, 3, 2, 4, 2, 1, 2, 2, 0, 3, 1, 3, 1, 4, 1, 2, 3, 1, 3, 0, 2, 4, 3, 4, 2, 4, 0, 3, 1, 2, 1, 1, 2, 3, 3, 4, 0, 0, 3, 0, 2, 3, 3, 4, 4, 1, 1, 3, 3, 2, 4, 4, 2, 1, 2, 1, 4, 4, 0, 0, 1, 2, 1, 0, 2, 1, 1, 3, 0, 3, 4, 1, 2, 4, 1, 3, 2, 1, 4, 2, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 4, 4, 1, 3, 4, 1, 0, 2, 4, 3, 3, 4, 2, 3, 1, 1, 4, 0, 4, 1, 0, 4, 1, 0, 2, 2, 4, 2, 2, 3, 4, 2, 2, 2, 0] pubkeycol456 = [4, 2, 1, 4, 2, 4, 3, 3, 1, 3, 1, 2, 3, 0, 2, 3, 1, 0, 2, 0, 4, 4, 0, 2, 0, 4, 1, 3, 2, 1, 2, 1, 2, 4, 3, 2, 0, 2, 4, 1, 2, 4, 4, 4, 0, 0, 1, 0, 4, 4, 1, 4, 1, 1, 0, 0, 0, 3, 2, 4, 0, 2, 4, 4, 0, 2, 1, 0, 1, 4, 1, 0, 1, 2, 2, 3, 4, 1, 3, 4, 2, 0, 0, 3, 1, 0, 3, 1, 4, 3, 1, 0, 3, 3, 2, 2, 3, 1, 1, 4, 0, 0, 0, 3, 3, 4, 3, 3, 2, 4, 4, 2, 4, 4, 3, 1, 2, 0, 3, 1, 2, 0, 2, 4, 1, 2, 4, 1, 1, 4, 3, 3, 4, 1, 4, 1, 0, 4, 4, 0, 2, 0, 2, 4, 2, 2, 3, 0, 1, 2, 3, 1, 4, 2, 4, 2, 4, 1, 1, 0, 0, 1, 4, 4, 3, 0, 3, 4, 0, 1, 0, 3, 4, 1, 3, 0, 0, 2, 3, 0, 4, 3, 0, 4, 0, 2, 1, 2, 1, 4, 3, 2, 0, 1, 3, 0, 3, 3, 0, 1, 1, 3, 3, 1, 2, 1, 1, 2, 2, 3, 4, 3, 2, 1, 2, 4, 3, 4, 1, 0, 1, 3, 3, 2, 4, 4, 4, 2, 1, 1, 3, 3, 3, 1, 0, 2, 1, 4, 1, 2, 3, 3, 1, 2, 3, 2, 3, 2, 0, 1, 2, 4, 2, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 2, 0, 1, 1, 0, 1, 0, 3, 3, 4, 1, 3, 2, 2, 0, 0, 3, 1, 4, 0, 2, 2, 2, 3, 1, 1, 0, 2, 0, 3, 2, 2, 0, 0, 1, 0, 2, 4, 1, 2, 3, 0, 1, 4, 3, 1, 4, 3, 0, 2, 0, 1, 4, 1, 3, 4, 4, 3, 2, 2, 2, 1, 2, 1, 3, 4, 3, 4, 3, 3, 4, 2, 2, 4, 2, 4, 0, 0, 1, 3, 3, 4, 1, 2, 2, 4, 4, 4, 3, 1, 2, 2, 2, 0, 2, 4, 1, 2, 3, 2, 1, 1, 1, 1, 3, 4, 4, 0, 1, 0, 1, 4, 4, 4, 1, 1, 3, 4, 0, 3, 0, 3, 2, 0, 4, 3, 0, 1, 2, 2, 3, 0] pubkeycol457 = [2, 0, 1, 4, 2, 0, 1, 3, 4, 2, 0, 1, 1, 0, 0, 0, 4, 0, 3, 4, 3, 2, 4, 4, 3, 2, 4, 2, 2, 4, 3, 0, 4, 3, 0, 4, 2, 3, 4, 3, 4, 4, 0, 0, 3, 1, 0, 0, 1, 1, 3, 4, 0, 4, 3, 4, 0, 0, 1, 4, 3, 3, 3, 4, 1, 2, 3, 2, 3, 0, 0, 4, 2, 2, 3, 2, 3, 1, 1, 2, 1, 4, 0, 3, 4, 4, 3, 0, 4, 0, 3, 2, 0, 2, 3, 4, 1, 2, 4, 4, 0, 0, 4, 3, 0, 0, 4, 4, 0, 3, 1, 0, 0, 3, 4, 0, 3, 0, 2, 4, 0, 4, 2, 2, 4, 1, 0, 4, 1, 2, 4, 2, 3, 2, 2, 1, 2, 1, 3, 1, 0, 0, 0, 3, 0, 2, 1, 1, 1, 3, 4, 3, 1, 2, 0, 0, 3, 0, 2, 0, 3, 1, 2, 2, 0, 2, 0, 2, 0, 3, 1, 1, 2, 0, 2, 3, 4, 3, 3, 3, 3, 2, 0, 1, 4, 2, 2, 3, 3, 2, 1, 0, 2, 2, 1, 3, 3, 1, 0, 1, 2, 1, 4, 2, 2, 4, 2, 0, 2, 1, 2, 0, 3, 2, 2, 3, 0, 1, 4, 4, 0, 3, 4, 0, 3, 0, 1, 3, 4, 2, 1, 0, 0, 4, 2, 4, 3, 0, 3, 4, 1, 3, 1, 3, 2, 1, 2, 4, 1, 4, 1, 1, 0, 1, 0, 0, 0, 2, 4, 2, 0, 2, 3, 4, 0, 2, 4, 4, 2, 4, 3, 1, 2, 4, 1, 1, 3, 4, 3, 2, 3, 3, 1, 3, 0, 1, 1, 4, 2, 2, 4, 4, 1, 2, 3, 1, 4, 3, 3, 1, 1, 4, 1, 2, 4, 0, 1, 1, 4, 4, 0, 2, 2, 1, 2, 4, 4, 3, 1, 2, 1, 1, 2, 2, 0, 3, 0, 2, 3, 3, 2, 1, 0, 3, 2, 0, 0, 1, 2, 1, 4, 2, 2, 3, 4, 3, 1, 1, 2, 4, 2, 2, 3, 4, 0, 3, 1, 3, 2, 4, 2, 0, 0, 4, 1, 2, 0, 1, 4, 3, 0, 4, 4, 3, 4, 4, 0, 1, 1, 0, 4, 3, 0, 1, 4, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 3, 3, 0, 4, 0] pubkeycol458 = [2, 3, 1, 4, 0, 0, 3, 3, 0, 1, 3, 1, 4, 3, 0, 1, 2, 0, 4, 3, 0, 4, 1, 4, 0, 0, 2, 3, 4, 2, 3, 4, 1, 1, 4, 4, 2, 3, 3, 4, 1, 3, 1, 3, 1, 2, 3, 2, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 2, 2, 2, 3, 4, 4, 3, 0, 0, 1, 2, 4, 2, 4, 3, 3, 1, 4, 1, 0, 2, 2, 1, 4, 3, 0, 3, 1, 2, 2, 4, 4, 1, 4, 2, 4, 3, 2, 1, 0, 1, 3, 2, 0, 3, 3, 2, 4, 2, 4, 3, 1, 3, 4, 4, 3, 1, 0, 4, 4, 0, 0, 0, 3, 4, 3, 0, 1, 1, 0, 0, 1, 3, 1, 1, 2, 0, 2, 0, 1, 3, 1, 3, 1, 2, 4, 2, 0, 1, 2, 1, 3, 4, 1, 2, 3, 0, 4, 0, 4, 0, 1, 3, 0, 1, 4, 0, 2, 3, 1, 1, 0, 1, 2, 2, 0, 0, 1, 3, 3, 2, 4, 1, 0, 0, 0, 1, 3, 3, 3, 4, 4, 1, 2, 4, 2, 4, 2, 0, 2, 0, 2, 2, 1, 2, 4, 1, 2, 3, 2, 0, 4, 2, 3, 2, 3, 1, 1, 3, 2, 2, 3, 2, 3, 0, 0, 2, 0, 0, 4, 1, 1, 1, 2, 4, 1, 3, 0, 0, 2, 0, 4, 2, 3, 3, 1, 2, 4, 1, 0, 3, 0, 0, 0, 3, 2, 1, 1, 3, 2, 0, 3, 4, 0, 4, 2, 4, 2, 4, 3, 1, 3, 4, 3, 0, 2, 2, 0, 1, 1, 0, 2, 2, 4, 0, 2, 2, 1, 1, 4, 3, 1, 4, 1, 1, 1, 3, 1, 2, 3, 0, 1, 4, 4, 0, 0, 1, 1, 3, 2, 3, 3, 4, 3, 4, 0, 4, 0, 1, 3, 0, 1, 4, 0, 1, 3, 0, 4, 1, 1, 3, 0, 2, 4, 2, 2, 0, 0, 0, 4, 1, 2, 0, 0, 0, 1, 0, 3, 1, 1, 2, 4, 4, 3, 0, 4, 1, 1, 3, 0, 0, 3, 0, 1, 0, 3, 0, 3, 0, 2, 2, 3, 2, 1, 4, 4, 3, 4, 1, 0, 3, 0, 1, 3, 4, 3, 1, 4, 2, 1, 3, 1, 4, 1, 2, 1, 4, 0, 0, 1, 1, 3] pubkeycol459 = [3, 3, 1, 4, 1, 3, 3, 0, 3, 1, 4, 4, 0, 0, 4, 4, 2, 1, 2, 3, 4, 3, 2, 3, 1, 1, 0, 4, 4, 0, 1, 4, 1, 4, 2, 1, 4, 2, 3, 4, 3, 2, 1, 4, 2, 3, 4, 2, 0, 0, 2, 1, 0, 3, 4, 4, 2, 0, 3, 4, 0, 4, 4, 1, 2, 0, 0, 3, 2, 3, 2, 0, 0, 2, 3, 0, 3, 4, 2, 3, 4, 1, 1, 2, 1, 2, 2, 4, 0, 0, 2, 4, 0, 3, 4, 2, 4, 4, 3, 2, 2, 1, 0, 3, 2, 2, 4, 1, 2, 0, 3, 0, 2, 2, 2, 1, 0, 1, 0, 3, 1, 0, 1, 2, 3, 3, 1, 3, 0, 3, 1, 1, 3, 4, 2, 2, 0, 3, 0, 4, 1, 1, 2, 2, 0, 2, 4, 2, 2, 2, 4, 0, 2, 3, 2, 3, 2, 0, 1, 3, 1, 1, 2, 4, 0, 4, 3, 2, 2, 1, 0, 0, 0, 3, 2, 0, 1, 0, 0, 1, 0, 3, 0, 4, 1, 4, 3, 3, 4, 3, 3, 0, 1, 4, 4, 2, 3, 4, 2, 2, 0, 2, 0, 3, 1, 3, 0, 0, 4, 1, 0, 1, 2, 2, 0, 2, 0, 4, 2, 3, 1, 1, 2, 0, 0, 1, 4, 4, 3, 1, 4, 3, 1, 3, 0, 1, 2, 4, 1, 0, 0, 2, 1, 2, 0, 4, 2, 1, 0, 1, 0, 0, 3, 4, 4, 4, 3, 0, 4, 4, 3, 3, 4, 0, 4, 0, 0, 4, 0, 0, 0, 1, 1, 4, 4, 2, 2, 2, 2, 4, 2, 0, 1, 2, 4, 4, 1, 1, 4, 2, 3, 2, 1, 2, 3, 2, 4, 3, 2, 4, 4, 4, 3, 1, 0, 0, 1, 0, 2, 4, 1, 2, 0, 2, 1, 1, 2, 0, 4, 4, 3, 4, 3, 1, 1, 4, 3, 4, 3, 3, 0, 2, 2, 0, 3, 3, 2, 2, 2, 3, 2, 2, 2, 0, 4, 3, 2, 4, 4, 4, 4, 4, 2, 1, 0, 1, 0, 2, 0, 2, 4, 2, 4, 4, 0, 4, 1, 2, 4, 4, 4, 0, 2, 3, 0, 0, 0, 1, 0, 4, 2, 3, 3, 3, 1, 1, 4, 4, 0, 1, 3, 2, 3, 0, 2, 2, 4, 2, 4, 2] pubkeycol460 = [2, 4, 4, 2, 1, 2, 1, 4, 0, 2, 1, 4, 0, 2, 0, 1, 3, 1, 0, 1, 0, 4, 1, 2, 4, 4, 3, 3, 0, 4, 1, 4, 2, 3, 4, 1, 3, 1, 2, 4, 1, 4, 0, 0, 3, 2, 4, 4, 3, 2, 0, 2, 0, 0, 4, 2, 2, 0, 0, 4, 1, 0, 2, 0, 0, 1, 3, 1, 3, 1, 2, 3, 1, 1, 0, 3, 1, 1, 1, 4, 4, 1, 4, 3, 2, 0, 2, 4, 3, 4, 2, 0, 2, 4, 3, 0, 4, 0, 4, 4, 2, 2, 2, 3, 3, 2, 0, 3, 2, 0, 0, 4, 1, 1, 4, 2, 4, 1, 1, 0, 1, 2, 3, 0, 0, 0, 4, 4, 3, 2, 2, 0, 2, 3, 0, 1, 4, 1, 3, 4, 0, 0, 2, 0, 4, 0, 1, 2, 0, 0, 4, 4, 2, 3, 2, 0, 2, 3, 3, 0, 3, 4, 1, 4, 4, 2, 0, 0, 0, 0, 0, 4, 2, 4, 2, 1, 4, 4, 0, 2, 1, 4, 0, 0, 3, 1, 2, 0, 0, 0, 3, 4, 2, 1, 4, 3, 4, 2, 4, 3, 0, 0, 3, 1, 3, 1, 1, 3, 1, 0, 4, 0, 3, 3, 1, 3, 0, 4, 3, 3, 1, 1, 1, 3, 4, 1, 0, 2, 4, 0, 1, 0, 3, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 3, 3, 2, 4, 3, 1, 4, 4, 2, 3, 0, 0, 2, 1, 3, 4, 4, 0, 4, 4, 0, 4, 1, 4, 2, 3, 3, 4, 1, 1, 3, 4, 0, 0, 0, 1, 1, 1, 3, 2, 4, 0, 4, 3, 1, 2, 0, 0, 3, 2, 0, 3, 1, 0, 4, 3, 2, 4, 2, 1, 3, 4, 2, 4, 3, 3, 4, 1, 0, 4, 1, 1, 1, 4, 0, 3, 4, 3, 4, 1, 0, 0, 1, 1, 0, 3, 4, 0, 3, 3, 1, 4, 0, 2, 4, 1, 3, 2, 1, 0, 2, 0, 4, 3, 0, 4, 3, 4, 4, 4, 4, 2, 1, 2, 3, 0, 1, 1, 4, 2, 3, 2, 3, 1, 4, 0, 4, 2, 0, 0, 4, 2, 2, 1, 2, 3, 1, 3, 4, 0, 4, 2, 0, 4, 2, 4, 1, 3, 2, 1, 2, 3, 3, 1, 3, 4, 4] pubkeycol461 = [3, 4, 0, 1, 4, 2, 4, 3, 1, 0, 4, 3, 4, 4, 2, 3, 3, 2, 4, 1, 2, 1, 2, 2, 4, 2, 4, 1, 1, 1, 1, 4, 3, 3, 0, 1, 1, 4, 2, 1, 0, 0, 4, 0, 3, 4, 3, 3, 1, 0, 4, 0, 3, 1, 2, 0, 4, 1, 1, 1, 2, 0, 0, 0, 0, 4, 1, 1, 2, 4, 3, 4, 0, 2, 4, 2, 1, 4, 3, 1, 3, 4, 0, 4, 3, 0, 0, 4, 2, 1, 0, 2, 2, 2, 3, 3, 3, 2, 2, 1, 0, 1, 2, 1, 1, 4, 4, 2, 3, 1, 0, 4, 2, 2, 0, 0, 1, 0, 1, 1, 2, 4, 3, 2, 3, 0, 1, 0, 2, 4, 0, 4, 3, 2, 1, 1, 0, 2, 0, 2, 0, 0, 4, 0, 3, 0, 4, 4, 2, 4, 3, 3, 4, 2, 4, 4, 1, 3, 1, 3, 2, 2, 3, 4, 4, 1, 1, 0, 1, 0, 2, 4, 1, 4, 3, 2, 3, 1, 4, 2, 3, 0, 2, 1, 2, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 4, 2, 2, 3, 3, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 4, 0, 0, 3, 4, 3, 1, 4, 4, 0, 1, 1, 1, 3, 1, 0, 0, 0, 1, 2, 4, 0, 3, 4, 3, 4, 2, 4, 3, 2, 2, 0, 1, 2, 2, 0, 1, 1, 3, 3, 1, 1, 3, 2, 1, 4, 3, 0, 4, 4, 0, 4, 1, 1, 4, 1, 1, 3, 1, 0, 2, 0, 0, 3, 0, 0, 4, 0, 0, 4, 0, 0, 3, 4, 0, 1, 1, 0, 0, 3, 1, 3, 0, 0, 2, 4, 3, 3, 2, 3, 0, 2, 0, 3, 0, 2, 0, 3, 2, 1, 1, 1, 4, 1, 4, 2, 1, 1, 1, 1, 2, 4, 1, 0, 1, 3, 2, 3, 3, 1, 3, 3, 4, 0, 3, 2, 3, 3, 1, 3, 3, 2, 2, 2, 3, 2, 0, 3, 1, 2, 1, 2, 1, 2, 0, 0, 1, 4, 2, 3, 2, 0, 1, 4, 4, 2, 4, 1, 0, 0, 3, 1, 1, 0, 4, 0, 3, 2, 3, 3, 1, 3, 2, 2, 0, 0, 1, 4, 4, 0, 4, 2, 2, 2, 2, 0, 0, 1, 3, 3] pubkeycol462 = [3, 2, 0, 1, 1, 4, 0, 2, 4, 3, 3, 3, 3, 1, 3, 3, 0, 0, 0, 2, 0, 4, 1, 1, 3, 4, 0, 0, 0, 1, 3, 4, 1, 2, 1, 3, 0, 0, 4, 0, 0, 1, 2, 0, 4, 2, 2, 0, 1, 1, 4, 3, 2, 1, 1, 0, 4, 4, 3, 3, 3, 4, 2, 1, 0, 1, 1, 2, 1, 2, 1, 3, 0, 4, 1, 2, 3, 0, 3, 2, 0, 4, 1, 2, 1, 4, 1, 0, 3, 2, 0, 4, 2, 1, 4, 0, 4, 3, 2, 1, 0, 0, 2, 0, 3, 4, 1, 4, 4, 1, 1, 1, 0, 0, 2, 0, 1, 3, 4, 2, 0, 2, 4, 2, 1, 0, 0, 3, 3, 4, 4, 2, 4, 1, 1, 4, 3, 4, 1, 0, 4, 2, 4, 1, 1, 0, 1, 1, 2, 4, 1, 4, 1, 4, 3, 2, 1, 1, 0, 3, 1, 2, 3, 3, 1, 2, 3, 2, 3, 0, 1, 1, 2, 2, 0, 2, 0, 0, 4, 0, 4, 0, 3, 2, 4, 0, 4, 0, 0, 1, 2, 3, 2, 2, 1, 1, 1, 3, 2, 0, 2, 1, 2, 2, 0, 3, 4, 0, 2, 2, 0, 4, 3, 0, 4, 1, 4, 2, 2, 0, 0, 2, 1, 1, 0, 3, 4, 4, 3, 3, 4, 4, 0, 2, 2, 3, 1, 3, 1, 4, 4, 1, 4, 3, 2, 3, 3, 3, 2, 1, 4, 4, 4, 1, 4, 4, 4, 4, 3, 1, 2, 3, 1, 2, 2, 4, 0, 2, 0, 3, 2, 4, 3, 0, 2, 1, 4, 3, 0, 1, 0, 2, 4, 3, 2, 0, 4, 0, 4, 4, 4, 2, 2, 3, 1, 1, 1, 0, 1, 3, 1, 3, 4, 0, 4, 3, 4, 1, 4, 1, 4, 0, 0, 1, 2, 4, 2, 2, 1, 0, 0, 0, 1, 0, 3, 4, 4, 2, 4, 3, 0, 3, 2, 4, 4, 2, 0, 1, 1, 1, 1, 1, 0, 1, 4, 4, 1, 1, 4, 3, 2, 3, 3, 1, 3, 3, 1, 2, 2, 1, 4, 4, 2, 3, 4, 0, 4, 3, 2, 3, 4, 0, 2, 4, 0, 1, 1, 1, 4, 1, 4, 0, 1, 3, 1, 3, 4, 3, 2, 0, 0, 1, 2, 3, 4, 2, 2, 0, 4, 1] pubkeycol463 = [1, 2, 2, 4, 2, 1, 3, 3, 3, 4, 4, 3, 1, 3, 1, 1, 1, 0, 4, 2, 1, 0, 2, 1, 3, 1, 0, 4, 4, 2, 3, 4, 0, 3, 2, 4, 2, 4, 1, 4, 4, 3, 2, 0, 0, 3, 3, 4, 1, 3, 4, 0, 4, 2, 3, 1, 2, 2, 3, 2, 4, 2, 3, 3, 1, 4, 0, 4, 3, 3, 1, 3, 1, 1, 0, 1, 3, 2, 0, 0, 3, 3, 0, 4, 3, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 1, 3, 0, 3, 4, 2, 3, 1, 0, 1, 1, 3, 2, 0, 4, 0, 1, 3, 3, 2, 4, 3, 4, 1, 2, 2, 2, 4, 1, 1, 2, 4, 4, 1, 0, 3, 2, 4, 3, 2, 3, 1, 1, 4, 4, 2, 4, 0, 3, 4, 1, 3, 4, 0, 1, 3, 2, 0, 3, 1, 3, 4, 3, 1, 1, 1, 2, 1, 0, 0, 1, 0, 3, 0, 4, 3, 1, 4, 3, 1, 3, 0, 4, 0, 1, 3, 4, 4, 4, 0, 2, 4, 4, 1, 0, 1, 2, 1, 4, 3, 3, 3, 1, 2, 4, 0, 0, 4, 3, 0, 1, 2, 0, 2, 3, 1, 4, 1, 2, 4, 1, 0, 4, 4, 3, 1, 3, 2, 0, 1, 4, 3, 1, 0, 0, 0, 2, 3, 4, 1, 4, 3, 0, 2, 0, 2, 0, 3, 0, 1, 3, 0, 2, 2, 2, 3, 3, 2, 1, 1, 4, 2, 4, 0, 4, 1, 0, 2, 3, 1, 0, 4, 0, 3, 0, 2, 1, 1, 1, 4, 0, 2, 4, 2, 3, 1, 4, 2, 0, 2, 1, 4, 1, 2, 4, 4, 1, 1, 2, 1, 3, 0, 2, 1, 0, 0, 0, 3, 2, 2, 4, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 4, 3, 3, 3, 2, 3, 4, 1, 1, 1, 3, 1, 3, 3, 2, 2, 0, 1, 3, 0, 3, 3, 1, 3, 4, 0, 2, 0, 4, 1, 1, 4, 4, 4, 3, 3, 2, 0, 4, 2, 0, 2, 2, 4, 3, 3, 4, 2, 1, 0, 3, 2, 3, 0, 1, 1, 0, 0, 1, 0, 2, 2, 4, 2, 1, 4, 2, 2, 3, 3, 4, 3, 0, 0, 0, 2, 0, 4, 4, 4, 1, 4] pubkeycol464 = [1, 2, 2, 1, 4, 2, 4, 4, 4, 2, 2, 1, 3, 3, 3, 0, 2, 3, 0, 3, 1, 2, 0, 0, 1, 1, 0, 4, 1, 0, 0, 2, 0, 3, 0, 4, 3, 1, 0, 2, 3, 0, 4, 3, 4, 3, 1, 1, 2, 1, 4, 4, 4, 4, 3, 0, 3, 3, 3, 0, 1, 1, 4, 3, 2, 4, 1, 2, 4, 1, 4, 3, 0, 0, 3, 1, 1, 2, 4, 2, 0, 0, 0, 3, 1, 0, 1, 3, 2, 3, 4, 2, 4, 0, 1, 1, 2, 0, 3, 3, 2, 4, 0, 1, 2, 4, 0, 3, 0, 0, 1, 2, 3, 2, 3, 3, 2, 3, 2, 0, 3, 1, 4, 2, 3, 3, 3, 4, 2, 2, 0, 1, 2, 4, 1, 0, 1, 0, 0, 2, 3, 2, 2, 1, 1, 4, 4, 1, 2, 1, 2, 0, 4, 3, 4, 0, 4, 2, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 0, 4, 0, 3, 0, 1, 2, 3, 0, 1, 3, 0, 3, 3, 3, 1, 1, 4, 2, 0, 4, 4, 2, 0, 2, 0, 4, 2, 2, 0, 2, 4, 2, 0, 3, 1, 4, 1, 0, 4, 1, 2, 2, 4, 0, 3, 0, 2, 3, 3, 3, 2, 4, 4, 1, 4, 2, 3, 4, 0, 4, 1, 1, 4, 0, 0, 1, 1, 3, 1, 4, 1, 0, 1, 0, 1, 3, 0, 3, 1, 1, 2, 4, 4, 3, 2, 4, 2, 0, 0, 0, 4, 3, 2, 0, 1, 1, 1, 4, 1, 0, 4, 1, 3, 3, 3, 2, 2, 2, 2, 0, 3, 1, 0, 0, 2, 2, 4, 1, 4, 4, 3, 3, 1, 3, 2, 1, 3, 4, 1, 3, 2, 2, 4, 2, 0, 4, 2, 4, 4, 3, 0, 0, 3, 2, 1, 1, 4, 1, 0, 0, 0, 4, 2, 0, 0, 3, 2, 3, 2, 4, 4, 2, 0, 4, 0, 1, 4, 4, 4, 3, 2, 2, 3, 3, 3, 3, 0, 0, 0, 2, 0, 3, 0, 0, 0, 0, 1, 0, 0, 3, 4, 1, 4, 1, 2, 4, 4, 1, 4, 1, 1, 3, 4, 2, 4, 1, 2, 2, 0, 3, 0, 3, 0, 2, 0, 4, 0, 2, 0, 0, 1, 1, 2, 3, 2, 0, 1, 0, 3, 1] pubkeycol465 = [3, 1, 2, 0, 4, 3, 4, 3, 1, 3, 1, 0, 4, 2, 2, 1, 0, 2, 4, 2, 3, 4, 2, 1, 0, 1, 1, 3, 0, 3, 3, 1, 2, 4, 1, 4, 3, 4, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 4, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 4, 1, 0, 1, 1, 4, 4, 4, 0, 1, 2, 4, 3, 2, 2, 1, 3, 1, 3, 4, 2, 2, 3, 1, 3, 0, 0, 1, 1, 2, 1, 1, 0, 3, 4, 1, 0, 0, 0, 2, 3, 1, 4, 2, 1, 2, 2, 1, 3, 1, 3, 4, 3, 2, 0, 1, 1, 3, 2, 4, 0, 4, 1, 2, 4, 2, 0, 0, 4, 1, 2, 0, 2, 1, 1, 0, 4, 0, 0, 1, 2, 3, 2, 3, 1, 1, 2, 4, 0, 2, 3, 3, 0, 2, 1, 4, 4, 4, 0, 2, 1, 3, 1, 2, 3, 3, 1, 0, 0, 0, 4, 0, 4, 2, 1, 2, 0, 0, 1, 3, 0, 2, 0, 2, 3, 0, 2, 1, 4, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 0, 1, 2, 0, 1, 0, 3, 4, 2, 4, 1, 4, 2, 1, 3, 0, 4, 2, 2, 2, 2, 4, 1, 3, 2, 2, 1, 0, 4, 0, 0, 3, 4, 4, 2, 1, 3, 4, 0, 4, 4, 1, 3, 3, 0, 0, 1, 3, 2, 4, 1, 1, 3, 1, 0, 1, 3, 2, 4, 2, 0, 3, 3, 1, 4, 1, 3, 2, 3, 4, 3, 4, 2, 1, 1, 2, 3, 0, 2, 4, 0, 0, 4, 1, 1, 4, 4, 3, 1, 3, 1, 0, 0, 1, 2, 4, 2, 2, 4, 0, 1, 4, 4, 4, 2, 0, 0, 4, 1, 1, 4, 3, 3, 2, 1, 2, 0, 4, 2, 2, 0, 2, 3, 3, 1, 0, 1, 0, 4, 0, 3, 1, 4, 0, 4, 3, 3, 2, 2, 0, 1, 3, 0, 1, 4, 4, 3, 1, 0, 2, 4, 3, 1, 1, 3, 4, 2, 3, 0, 3, 2, 2, 4, 3, 1, 4, 2, 0, 3, 2, 0, 2, 0, 2, 3, 4, 0, 3, 3, 1, 0, 3, 2, 1, 3, 4, 0, 1, 4, 4, 1, 1, 1, 4, 0, 3, 2, 4, 4, 1, 1] pubkeycol466 = [2, 1, 2, 4, 4, 2, 4, 3, 2, 2, 1, 0, 3, 0, 2, 2, 3, 3, 3, 1, 2, 3, 3, 4, 4, 2, 3, 1, 0, 3, 3, 3, 1, 3, 1, 3, 0, 2, 2, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 4, 3, 3, 4, 1, 0, 3, 0, 0, 0, 4, 0, 0, 3, 4, 0, 1, 4, 1, 4, 2, 3, 4, 4, 1, 4, 3, 1, 4, 3, 3, 3, 0, 3, 2, 3, 0, 0, 0, 0, 4, 2, 3, 0, 0, 3, 2, 3, 0, 0, 3, 3, 2, 0, 1, 1, 4, 1, 1, 4, 1, 4, 0, 0, 1, 0, 3, 3, 3, 2, 2, 3, 3, 0, 1, 3, 2, 2, 4, 4, 4, 3, 4, 0, 0, 0, 3, 1, 2, 0, 2, 2, 4, 3, 4, 0, 2, 0, 3, 1, 4, 1, 1, 3, 2, 0, 3, 4, 0, 1, 0, 3, 2, 1, 4, 0, 4, 3, 2, 1, 0, 2, 4, 1, 0, 3, 3, 1, 2, 2, 1, 2, 4, 0, 3, 4, 3, 2, 0, 1, 2, 4, 4, 2, 4, 0, 4, 1, 0, 0, 2, 2, 4, 3, 2, 0, 2, 2, 0, 1, 1, 4, 1, 2, 3, 3, 2, 0, 1, 3, 3, 4, 4, 0, 4, 3, 0, 3, 4, 4, 3, 2, 1, 0, 3, 4, 2, 3, 2, 3, 2, 0, 4, 3, 0, 1, 4, 4, 3, 2, 0, 2, 4, 1, 2, 2, 0, 2, 0, 0, 3, 1, 2, 0, 2, 4, 1, 2, 3, 4, 1, 3, 1, 3, 1, 4, 2, 3, 3, 3, 4, 4, 1, 0, 0, 2, 3, 2, 3, 4, 4, 2, 2, 3, 3, 3, 1, 0, 4, 1, 3, 2, 3, 2, 4, 4, 1, 4, 3, 4, 4, 1, 3, 4, 4, 0, 1, 4, 0, 0, 1, 3, 0, 4, 1, 3, 2, 0, 4, 2, 0, 1, 1, 3, 3, 3, 2, 2, 0, 0, 1, 2, 1, 3, 4, 3, 1, 3, 2, 4, 4, 4, 3, 2, 1, 1, 1, 0, 3, 0, 2, 2, 0, 0, 2, 1, 2, 0, 4, 3, 3, 0, 0, 3, 0, 1, 1, 3, 3, 0, 3, 0, 4, 0, 2, 1, 3, 3, 3, 1, 3, 1, 2, 3, 3, 3, 2, 4, 2, 1] pubkeycol467 = [2, 3, 2, 4, 4, 2, 3, 1, 3, 3, 3, 1, 1, 1, 2, 4, 0, 2, 4, 3, 3, 2, 0, 0, 0, 2, 0, 4, 0, 4, 1, 2, 3, 4, 1, 2, 4, 1, 2, 0, 1, 0, 3, 3, 4, 2, 1, 1, 1, 4, 2, 3, 0, 0, 4, 2, 4, 3, 0, 2, 2, 4, 1, 4, 4, 0, 4, 2, 2, 4, 4, 1, 0, 0, 3, 0, 2, 1, 2, 2, 4, 1, 3, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 4, 3, 3, 4, 0, 0, 0, 1, 4, 0, 1, 4, 3, 4, 1, 3, 3, 3, 3, 2, 1, 1, 2, 4, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 4, 1, 3, 2, 2, 0, 2, 3, 2, 2, 4, 3, 4, 2, 2, 2, 3, 3, 2, 4, 2, 2, 0, 1, 1, 4, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 4, 2, 3, 3, 1, 4, 0, 2, 3, 1, 3, 3, 1, 3, 1, 0, 3, 1, 0, 1, 3, 4, 2, 2, 3, 0, 0, 0, 1, 0, 0, 4, 2, 0, 3, 2, 1, 2, 3, 1, 4, 1, 0, 4, 1, 0, 1, 2, 2, 3, 4, 0, 0, 3, 4, 1, 2, 4, 3, 4, 3, 3, 2, 4, 3, 4, 0, 1, 4, 0, 0, 3, 1, 3, 3, 2, 2, 1, 0, 1, 3, 0, 3, 3, 2, 0, 0, 1, 4, 2, 4, 1, 0, 3, 3, 4, 3, 3, 1, 0, 3, 1, 0, 0, 4, 3, 1, 4, 2, 2, 0, 4, 1, 0, 0, 0, 2, 4, 1, 4, 2, 1, 1, 2, 4, 2, 4, 0, 3, 4, 1, 0, 0, 1, 3, 0, 4, 2, 1, 2, 1, 1, 1, 0, 4, 4, 0, 0, 3, 2, 1, 0, 1, 3, 2, 4, 2, 4, 0, 4, 1, 4, 1, 4, 1, 1, 3, 3, 3, 0, 3, 0, 0, 1, 2, 2, 2, 0, 1, 4, 1, 1, 4, 0, 3, 3, 2, 0, 4, 3, 1, 4, 2, 2, 4, 4, 3, 2, 2, 3, 3, 1, 2, 3, 0, 0, 0, 2, 1, 3, 3, 0, 4, 4, 3, 1, 4, 3, 3, 0, 2, 2, 1, 3, 3, 3, 0, 2, 2, 3, 2] pubkeycol468 = [4, 0, 3, 0, 3, 4, 3, 1, 3, 1, 0, 2, 0, 4, 4, 2, 1, 4, 2, 3, 4, 1, 4, 3, 3, 4, 1, 4, 2, 4, 1, 2, 1, 0, 2, 2, 2, 4, 3, 3, 1, 3, 0, 4, 0, 1, 1, 3, 0, 1, 2, 1, 3, 1, 2, 3, 4, 3, 2, 2, 1, 1, 4, 4, 3, 0, 4, 2, 1, 0, 1, 1, 2, 1, 1, 0, 4, 4, 3, 2, 1, 0, 2, 4, 0, 1, 1, 0, 4, 1, 3, 0, 3, 2, 0, 1, 3, 2, 3, 0, 3, 2, 2, 3, 0, 2, 0, 1, 2, 3, 0, 0, 0, 4, 4, 3, 4, 3, 4, 2, 2, 0, 2, 1, 0, 0, 0, 3, 2, 3, 1, 0, 3, 4, 2, 4, 3, 1, 2, 4, 0, 2, 1, 3, 4, 4, 4, 0, 0, 3, 0, 0, 4, 0, 2, 4, 2, 3, 3, 4, 1, 3, 2, 1, 3, 0, 4, 1, 4, 1, 0, 4, 2, 2, 0, 4, 1, 4, 3, 0, 3, 3, 2, 4, 4, 0, 0, 3, 2, 1, 2, 3, 4, 4, 1, 3, 3, 1, 4, 3, 3, 4, 0, 4, 3, 2, 2, 0, 4, 4, 3, 3, 4, 1, 2, 3, 1, 2, 3, 0, 3, 4, 4, 0, 2, 1, 4, 1, 2, 4, 3, 4, 0, 0, 0, 4, 2, 3, 0, 1, 3, 0, 0, 1, 1, 2, 4, 3, 4, 2, 1, 2, 4, 4, 4, 2, 0, 2, 2, 1, 2, 0, 4, 3, 3, 0, 0, 4, 0, 0, 3, 1, 4, 2, 4, 1, 2, 1, 3, 4, 3, 1, 2, 1, 2, 1, 2, 4, 3, 1, 2, 2, 1, 1, 0, 2, 4, 3, 3, 3, 4, 3, 2, 4, 0, 2, 1, 1, 2, 4, 1, 0, 3, 1, 0, 2, 4, 0, 0, 1, 1, 0, 0, 3, 1, 1, 1, 2, 2, 4, 0, 2, 4, 2, 1, 1, 4, 3, 0, 3, 3, 1, 1, 1, 3, 2, 2, 2, 0, 2, 4, 1, 2, 0, 3, 2, 4, 4, 2, 0, 3, 4, 2, 0, 4, 3, 4, 4, 0, 3, 4, 4, 2, 1, 3, 1, 2, 1, 4, 2, 4, 3, 2, 3, 4, 1, 4, 0, 4, 0, 4, 3, 0, 2, 1, 4, 0, 0, 4, 1] pubkeycol469 = [0, 2, 3, 3, 0, 0, 2, 1, 2, 1, 3, 4, 4, 0, 0, 2, 4, 1, 3, 1, 0, 2, 1, 1, 2, 1, 1, 4, 2, 0, 1, 3, 4, 2, 3, 1, 3, 4, 4, 3, 1, 4, 1, 0, 4, 4, 4, 2, 2, 4, 1, 4, 3, 4, 1, 2, 2, 0, 1, 1, 3, 1, 0, 0, 1, 3, 2, 0, 4, 1, 0, 1, 3, 4, 4, 4, 3, 2, 4, 4, 4, 3, 4, 1, 3, 3, 1, 1, 2, 4, 0, 1, 0, 2, 0, 2, 4, 0, 2, 1, 3, 4, 3, 4, 1, 1, 1, 4, 1, 2, 1, 4, 3, 0, 3, 3, 0, 3, 3, 0, 0, 1, 2, 3, 2, 0, 2, 2, 1, 3, 2, 4, 3, 0, 2, 1, 2, 1, 1, 4, 2, 4, 0, 0, 1, 1, 3, 4, 4, 3, 2, 1, 2, 3, 4, 0, 0, 1, 2, 0, 1, 3, 0, 0, 2, 4, 0, 0, 4, 3, 4, 3, 4, 3, 4, 2, 3, 3, 0, 4, 0, 2, 4, 1, 3, 4, 4, 0, 1, 0, 1, 1, 2, 4, 1, 3, 1, 3, 2, 2, 3, 3, 0, 3, 1, 4, 4, 2, 3, 3, 3, 3, 2, 1, 4, 2, 2, 2, 0, 3, 0, 3, 2, 3, 4, 3, 0, 4, 4, 4, 0, 3, 4, 1, 0, 1, 0, 3, 3, 0, 2, 3, 2, 4, 3, 2, 0, 1, 4, 2, 2, 1, 4, 4, 1, 4, 2, 4, 3, 4, 3, 0, 0, 1, 4, 1, 4, 4, 2, 1, 2, 4, 3, 0, 3, 2, 4, 4, 0, 2, 1, 1, 0, 2, 4, 1, 4, 1, 3, 4, 1, 1, 0, 1, 1, 1, 3, 1, 1, 4, 0, 1, 2, 2, 2, 4, 0, 3, 3, 0, 1, 1, 3, 1, 1, 4, 1, 0, 3, 3, 1, 1, 4, 2, 2, 4, 1, 2, 3, 3, 4, 0, 0, 4, 0, 3, 4, 0, 3, 3, 4, 0, 1, 3, 0, 4, 1, 4, 1, 2, 4, 3, 2, 3, 1, 4, 3, 2, 4, 1, 3, 2, 4, 4, 0, 0, 4, 0, 4, 2, 4, 3, 4, 1, 0, 2, 2, 3, 4, 2, 2, 3, 0, 1, 2, 4, 1, 0, 3, 4, 4, 2, 2, 0, 0, 4, 1, 0, 3, 1] pubkeycol470 = [4, 1, 4, 3, 4, 3, 2, 4, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 4, 3, 2, 2, 1, 3, 4, 2, 1, 4, 4, 3, 0, 0, 3, 2, 2, 1, 1, 4, 2, 2, 4, 3, 4, 3, 0, 1, 3, 4, 4, 0, 1, 4, 2, 0, 4, 4, 3, 3, 0, 2, 4, 3, 1, 3, 0, 1, 3, 3, 2, 2, 3, 2, 0, 2, 4, 1, 1, 3, 3, 0, 0, 1, 2, 4, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 4, 0, 2, 3, 4, 2, 4, 4, 0, 4, 3, 1, 4, 4, 3, 1, 3, 3, 2, 2, 0, 2, 4, 1, 0, 4, 3, 4, 1, 1, 4, 1, 0, 1, 0, 1, 1, 1, 0, 0, 4, 4, 4, 4, 3, 4, 1, 0, 4, 1, 0, 0, 4, 0, 3, 2, 1, 0, 3, 4, 0, 1, 0, 2, 0, 4, 2, 4, 0, 3, 0, 4, 3, 4, 0, 0, 1, 3, 1, 0, 1, 3, 3, 4, 3, 2, 3, 0, 2, 3, 4, 1, 3, 0, 3, 1, 3, 4, 3, 0, 1, 1, 2, 3, 4, 1, 4, 3, 4, 1, 2, 2, 4, 4, 2, 1, 2, 1, 4, 2, 1, 2, 4, 0, 0, 4, 2, 0, 4, 0, 2, 0, 4, 3, 0, 4, 1, 0, 3, 0, 0, 4, 3, 0, 3, 3, 0, 0, 3, 1, 2, 3, 0, 1, 3, 0, 3, 4, 1, 1, 3, 4, 0, 3, 4, 4, 2, 0, 3, 0, 3, 0, 1, 1, 4, 2, 3, 1, 3, 4, 2, 3, 3, 1, 2, 1, 4, 0, 1, 4, 3, 3, 3, 2, 2, 0, 1, 0, 2, 4, 1, 3, 4, 2, 3, 4, 1, 2, 0, 1, 3, 0, 4, 4, 3, 0, 4, 1, 0, 0, 3, 0, 3, 2, 4, 1, 3, 1, 3, 2, 1, 4, 1, 0, 1, 0, 1, 1, 3, 2, 1, 4, 4, 3, 4, 4, 3, 2, 0, 4, 1, 4, 1, 4, 1, 3, 2, 2, 3, 0, 3, 0, 3, 0, 0, 0, 4, 1, 1, 2, 1, 3, 4, 1, 2, 2, 3, 1, 2, 3, 2, 4, 1, 2, 3, 4, 3, 4, 3, 0, 3, 2, 3, 1, 3, 1, 3, 0, 4, 0, 4, 1, 3, 4, 1] pubkeycol471 = [0, 3, 4, 0, 4, 0, 1, 2, 0, 4, 3, 4, 0, 3, 4, 2, 1, 2, 2, 4, 3, 1, 4, 2, 0, 4, 4, 1, 0, 3, 4, 4, 4, 3, 3, 0, 1, 4, 1, 2, 1, 1, 0, 0, 1, 0, 1, 4, 1, 4, 2, 0, 4, 3, 4, 1, 0, 3, 1, 1, 1, 2, 2, 4, 4, 3, 2, 2, 4, 1, 4, 2, 1, 4, 2, 1, 4, 3, 0, 1, 3, 2, 2, 0, 0, 0, 4, 4, 4, 4, 4, 0, 2, 4, 0, 3, 1, 2, 2, 2, 1, 0, 4, 0, 4, 4, 0, 0, 0, 3, 0, 2, 3, 4, 1, 1, 0, 0, 1, 2, 1, 2, 3, 4, 4, 2, 3, 1, 0, 4, 3, 3, 4, 2, 3, 3, 0, 4, 1, 3, 1, 1, 1, 4, 3, 2, 0, 1, 3, 3, 4, 0, 2, 1, 2, 3, 1, 4, 0, 4, 0, 3, 0, 4, 3, 3, 3, 2, 2, 1, 1, 4, 2, 4, 4, 2, 2, 2, 2, 1, 2, 3, 1, 1, 1, 3, 4, 2, 0, 1, 3, 2, 4, 4, 3, 0, 3, 0, 2, 1, 1, 1, 2, 0, 3, 1, 4, 0, 4, 3, 1, 2, 2, 2, 2, 4, 0, 1, 2, 3, 0, 3, 1, 3, 3, 2, 4, 2, 2, 0, 3, 3, 0, 2, 3, 1, 4, 1, 4, 2, 2, 3, 3, 4, 2, 2, 0, 2, 1, 3, 0, 4, 1, 4, 2, 4, 4, 4, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 2, 2, 3, 2, 3, 2, 0, 1, 2, 2, 2, 1, 1, 4, 2, 2, 2, 3, 2, 4, 0, 4, 0, 0, 0, 4, 2, 3, 0, 1, 2, 2, 1, 1, 2, 4, 0, 4, 2, 2, 1, 0, 0, 4, 3, 2, 1, 0, 2, 3, 0, 2, 4, 1, 2, 1, 3, 1, 2, 1, 4, 3, 2, 4, 0, 0, 1, 3, 3, 2, 1, 0, 2, 3, 4, 3, 2, 1, 2, 3, 3, 4, 3, 1, 4, 1, 1, 3, 4, 1, 2, 4, 4, 0, 0, 1, 2, 3, 2, 2, 4, 4, 1, 0, 4, 4, 3, 0, 2, 2, 1, 4, 4, 4, 2, 3, 2, 3, 3, 4, 4, 4, 0, 1, 4, 4, 0, 0, 0, 4, 3, 3] pubkeycol472 = [2, 0, 0, 1, 2, 2, 0, 0, 3, 3, 1, 2, 1, 1, 4, 4, 0, 2, 3, 1, 4, 2, 2, 3, 0, 4, 3, 0, 1, 4, 0, 3, 4, 2, 1, 1, 1, 4, 4, 4, 0, 1, 0, 3, 1, 1, 3, 0, 4, 3, 2, 2, 2, 0, 3, 2, 4, 0, 1, 4, 4, 1, 2, 1, 0, 2, 1, 3, 4, 4, 2, 1, 3, 4, 0, 0, 1, 0, 4, 0, 2, 0, 1, 2, 2, 1, 4, 1, 3, 3, 1, 3, 1, 0, 4, 4, 1, 1, 4, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 4, 4, 0, 3, 1, 1, 2, 2, 4, 0, 4, 0, 3, 1, 3, 2, 1, 4, 3, 2, 2, 4, 3, 3, 3, 2, 0, 0, 2, 4, 4, 3, 1, 2, 3, 4, 2, 4, 3, 2, 4, 4, 4, 4, 3, 0, 0, 0, 3, 2, 0, 3, 3, 4, 3, 3, 0, 2, 3, 2, 4, 0, 3, 4, 3, 2, 1, 0, 4, 0, 2, 2, 3, 0, 1, 0, 0, 0, 1, 1, 3, 3, 3, 1, 3, 0, 3, 0, 0, 1, 3, 1, 1, 0, 0, 4, 3, 3, 4, 3, 3, 2, 4, 3, 4, 2, 3, 3, 0, 2, 0, 1, 1, 1, 4, 0, 1, 1, 0, 4, 4, 4, 0, 1, 4, 3, 1, 3, 0, 4, 0, 3, 0, 4, 1, 3, 2, 1, 4, 3, 3, 3, 0, 0, 2, 4, 1, 3, 0, 4, 4, 0, 1, 1, 3, 2, 2, 1, 0, 1, 2, 2, 4, 1, 0, 0, 0, 0, 4, 0, 0, 0, 1, 1, 1, 3, 4, 1, 3, 3, 1, 1, 4, 0, 4, 2, 0, 2, 4, 4, 3, 3, 3, 2, 4, 0, 4, 1, 4, 3, 3, 4, 3, 2, 3, 2, 0, 4, 3, 4, 0, 0, 1, 1, 3, 1, 2, 3, 1, 3, 0, 0, 0, 2, 3, 4, 3, 2, 3, 0, 0, 3, 4, 1, 3, 2, 2, 3, 4, 4, 4, 3, 2, 1, 0, 3, 0, 3, 0, 1, 1, 4, 3, 2, 3, 4, 0, 3, 3, 2, 2, 1, 1, 4, 3, 1, 4, 4, 1, 2, 2, 3, 1, 4, 3, 4, 4, 3, 1, 1, 2, 1, 4, 2, 0] pubkeycol473 = [4, 4, 4, 1, 2, 0, 3, 4, 3, 4, 2, 0, 2, 1, 0, 0, 4, 4, 2, 3, 0, 3, 0, 2, 2, 0, 0, 4, 3, 4, 4, 1, 4, 3, 3, 3, 3, 4, 4, 4, 3, 2, 4, 1, 4, 0, 3, 3, 0, 4, 1, 1, 3, 0, 0, 4, 3, 4, 0, 1, 1, 3, 3, 2, 1, 3, 4, 3, 0, 3, 0, 4, 4, 4, 4, 2, 1, 1, 0, 2, 1, 1, 3, 1, 3, 2, 4, 2, 0, 1, 2, 4, 1, 4, 1, 2, 0, 2, 2, 1, 4, 2, 0, 4, 1, 4, 1, 3, 1, 1, 3, 4, 1, 3, 0, 3, 3, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 1, 4, 0, 3, 1, 0, 3, 3, 4, 1, 3, 4, 1, 3, 0, 1, 1, 3, 0, 4, 1, 3, 4, 0, 2, 0, 0, 2, 1, 3, 1, 3, 0, 4, 3, 0, 4, 0, 4, 0, 1, 0, 0, 3, 2, 2, 4, 1, 3, 0, 0, 2, 0, 4, 0, 1, 4, 3, 4, 2, 2, 1, 1, 2, 4, 4, 1, 1, 2, 3, 2, 2, 2, 0, 4, 2, 0, 2, 1, 0, 0, 4, 2, 2, 0, 0, 2, 2, 4, 0, 4, 2, 1, 2, 4, 1, 3, 4, 0, 3, 3, 3, 2, 1, 3, 4, 1, 2, 4, 2, 0, 1, 3, 1, 4, 0, 3, 4, 0, 3, 0, 0, 3, 2, 0, 1, 4, 4, 1, 4, 4, 1, 3, 2, 1, 4, 0, 3, 4, 3, 4, 2, 2, 3, 0, 1, 1, 2, 0, 1, 0, 3, 2, 1, 1, 2, 4, 3, 1, 1, 4, 4, 0, 4, 0, 1, 3, 4, 1, 3, 2, 4, 3, 4, 3, 3, 2, 4, 1, 3, 4, 0, 0, 3, 2, 1, 4, 4, 3, 2, 3, 4, 1, 2, 4, 1, 0, 2, 0, 1, 2, 2, 4, 0, 2, 3, 4, 3, 0, 0, 1, 1, 0, 2, 1, 0, 1, 3, 1, 4, 4, 2, 1, 1, 2, 0, 1, 4, 1, 1, 3, 3, 3, 2, 4, 0, 4, 3, 3, 4, 2, 4, 1, 3, 1, 4, 3, 4, 1, 4, 0, 0, 0, 4, 2, 2, 1, 4, 1, 0, 3, 3, 0, 4, 1, 0, 3, 3, 4, 1, 0, 3, 0] pubkeycol474 = [2, 2, 4, 0, 3, 4, 3, 3, 4, 2, 3, 0, 4, 1, 4, 4, 4, 2, 1, 4, 4, 1, 1, 1, 4, 2, 4, 1, 1, 1, 4, 0, 4, 4, 0, 0, 0, 4, 2, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 4, 2, 1, 4, 0, 3, 4, 3, 3, 1, 4, 3, 3, 1, 0, 0, 1, 3, 0, 2, 4, 3, 4, 1, 2, 0, 4, 1, 3, 3, 4, 3, 2, 0, 1, 3, 2, 1, 1, 4, 4, 2, 2, 2, 2, 2, 0, 3, 3, 0, 2, 1, 3, 4, 0, 0, 0, 0, 2, 2, 4, 1, 1, 2, 2, 2, 1, 0, 2, 0, 4, 3, 4, 0, 4, 2, 2, 4, 2, 1, 4, 4, 2, 0, 4, 0, 1, 4, 4, 0, 4, 1, 1, 4, 1, 0, 1, 0, 1, 3, 2, 0, 4, 0, 4, 3, 0, 0, 2, 1, 1, 2, 3, 2, 1, 1, 4, 4, 3, 4, 2, 2, 0, 4, 0, 4, 2, 0, 0, 1, 0, 0, 4, 0, 0, 3, 0, 0, 3, 2, 0, 4, 3, 3, 0, 0, 3, 4, 1, 3, 3, 4, 4, 3, 3, 0, 3, 0, 1, 2, 4, 3, 3, 3, 3, 0, 3, 4, 3, 1, 1, 4, 0, 2, 1, 3, 4, 0, 4, 1, 1, 4, 0, 0, 0, 2, 1, 2, 4, 4, 3, 2, 0, 4, 4, 1, 3, 0, 2, 1, 1, 4, 4, 2, 3, 2, 3, 0, 0, 2, 3, 3, 4, 0, 0, 1, 0, 2, 3, 3, 1, 4, 3, 1, 2, 2, 2, 2, 3, 4, 4, 2, 0, 0, 0, 1, 0, 2, 1, 4, 3, 1, 3, 4, 4, 0, 2, 4, 2, 3, 1, 3, 4, 2, 4, 4, 2, 2, 2, 0, 2, 0, 4, 2, 3, 2, 0, 2, 1, 3, 0, 4, 3, 1, 0, 4, 1, 1, 3, 1, 2, 0, 1, 4, 4, 3, 2, 4, 2, 1, 0, 1, 3, 4, 3, 1, 2, 2, 0, 3, 4, 3, 1, 4, 4, 2, 0, 2, 3, 0, 4, 3, 3, 2, 3, 3, 0, 2, 1, 3, 2, 2, 1, 2, 2, 3, 0, 3, 0, 3, 3, 1, 0, 4, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 3, 1, 3, 4, 0] pubkeycol475 = [3, 3, 4, 2, 2, 1, 1, 0, 2, 3, 3, 2, 4, 1, 1, 0, 2, 0, 2, 0, 0, 3, 3, 1, 4, 1, 3, 1, 2, 0, 4, 0, 2, 2, 4, 3, 4, 0, 4, 4, 1, 2, 3, 0, 0, 2, 4, 2, 2, 1, 0, 0, 4, 0, 3, 0, 4, 2, 0, 3, 3, 1, 4, 1, 2, 3, 4, 1, 0, 4, 3, 3, 2, 1, 4, 1, 3, 4, 3, 2, 3, 0, 3, 2, 2, 0, 4, 4, 1, 3, 3, 4, 1, 1, 2, 1, 3, 3, 4, 1, 0, 0, 2, 2, 3, 4, 3, 1, 3, 4, 3, 4, 1, 2, 4, 1, 3, 1, 3, 0, 4, 3, 3, 0, 2, 0, 4, 4, 0, 1, 0, 2, 1, 0, 2, 3, 3, 1, 1, 3, 1, 4, 0, 0, 3, 3, 0, 1, 1, 1, 1, 2, 0, 4, 4, 4, 3, 0, 1, 0, 3, 4, 1, 3, 0, 1, 3, 3, 1, 0, 2, 4, 4, 0, 1, 1, 2, 1, 2, 1, 1, 3, 3, 4, 3, 2, 1, 2, 2, 2, 3, 0, 1, 0, 4, 1, 0, 1, 0, 4, 2, 4, 1, 1, 1, 3, 0, 3, 4, 3, 2, 0, 0, 0, 2, 3, 1, 1, 3, 4, 1, 4, 3, 2, 1, 3, 2, 2, 3, 1, 1, 0, 4, 4, 1, 4, 0, 4, 4, 4, 3, 1, 4, 3, 3, 3, 0, 0, 4, 1, 4, 4, 0, 3, 1, 4, 0, 3, 2, 4, 2, 3, 3, 4, 3, 1, 1, 1, 0, 0, 3, 3, 0, 4, 3, 2, 1, 3, 2, 1, 4, 0, 1, 1, 0, 4, 3, 1, 4, 4, 1, 0, 1, 4, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 3, 2, 4, 0, 4, 0, 3, 3, 4, 2, 0, 1, 3, 2, 2, 1, 1, 4, 4, 3, 0, 4, 2, 0, 4, 3, 3, 2, 0, 4, 0, 4, 2, 2, 1, 2, 2, 0, 4, 4, 1, 4, 0, 4, 1, 4, 2, 3, 2, 2, 1, 0, 1, 1, 0, 3, 1, 2, 3, 2, 3, 1, 4, 2, 4, 1, 3, 1, 3, 3, 4, 4, 2, 4, 3, 4, 2, 2, 3, 3, 1, 2, 3, 1, 3, 1, 2, 3, 4, 0, 2, 2, 2, 2, 2, 3] pubkeycol476 = [3, 3, 2, 4, 3, 4, 4, 4, 3, 3, 2, 4, 1, 2, 0, 3, 1, 3, 1, 2, 2, 4, 0, 0, 1, 3, 3, 2, 0, 4, 0, 0, 3, 4, 2, 3, 0, 4, 1, 3, 4, 3, 3, 1, 0, 1, 1, 2, 2, 4, 2, 4, 0, 1, 4, 4, 0, 3, 3, 2, 1, 1, 2, 0, 2, 3, 4, 0, 3, 2, 4, 3, 0, 4, 3, 1, 3, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 4, 0, 3, 2, 4, 1, 1, 4, 0, 3, 2, 0, 3, 1, 0, 2, 3, 2, 0, 0, 2, 0, 0, 4, 0, 4, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 3, 1, 2, 3, 4, 0, 1, 3, 0, 1, 2, 1, 4, 2, 1, 2, 4, 1, 4, 0, 1, 3, 2, 4, 2, 0, 4, 4, 0, 1, 2, 2, 2, 4, 3, 2, 0, 2, 1, 3, 1, 1, 0, 0, 3, 0, 1, 3, 0, 0, 1, 3, 4, 0, 2, 4, 4, 3, 0, 2, 0, 3, 1, 4, 1, 2, 1, 2, 3, 2, 1, 0, 2, 1, 0, 2, 3, 1, 2, 1, 4, 2, 3, 4, 2, 4, 4, 2, 3, 3, 0, 1, 0, 0, 0, 3, 1, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 4, 1, 2, 1, 1, 0, 2, 1, 0, 1, 3, 3, 1, 2, 1, 4, 1, 2, 2, 1, 3, 0, 4, 4, 4, 3, 1, 2, 2, 1, 3, 2, 4, 2, 0, 3, 4, 1, 4, 1, 0, 3, 0, 3, 3, 3, 2, 4, 2, 4, 0, 3, 1, 1, 1, 1, 3, 1, 0, 4, 0, 4, 3, 3, 4, 3, 4, 2, 0, 3, 1, 1, 3, 3, 2, 4, 1, 4, 1, 1, 4, 0, 2, 0, 3, 4, 4, 0, 4, 4, 1, 4, 4, 3, 2, 0, 1, 4, 2, 3, 1, 0, 4, 1, 3, 1, 4, 0, 4, 0, 2, 0, 2, 3, 4, 3, 4, 2, 0, 2, 3, 3, 0, 1, 3, 3, 2, 0, 0, 3, 3, 1, 4, 1, 4, 1, 0, 4, 1, 2, 4, 3, 4, 2, 1, 3, 2, 1, 3, 1, 4, 3, 4, 2, 3, 3, 3, 3, 3, 3, 2, 1, 2, 1, 1] pubkeycol477 = [0, 4, 2, 0, 4, 1, 4, 1, 0, 2, 3, 2, 3, 0, 4, 1, 1, 1, 0, 1, 3, 0, 3, 0, 4, 4, 1, 1, 0, 0, 2, 4, 3, 1, 4, 3, 4, 2, 1, 2, 1, 3, 1, 3, 3, 0, 4, 3, 0, 2, 0, 2, 1, 3, 2, 4, 3, 2, 1, 1, 4, 0, 4, 0, 3, 2, 4, 4, 1, 3, 4, 3, 1, 0, 0, 0, 2, 1, 0, 4, 4, 3, 4, 0, 0, 3, 4, 3, 0, 2, 1, 0, 4, 4, 0, 0, 3, 3, 0, 1, 3, 3, 1, 4, 3, 0, 4, 3, 3, 3, 0, 4, 1, 3, 4, 2, 0, 4, 1, 3, 2, 3, 4, 1, 0, 3, 1, 1, 0, 2, 3, 2, 1, 4, 1, 3, 0, 3, 4, 4, 3, 1, 2, 4, 0, 2, 0, 0, 0, 3, 2, 1, 3, 3, 4, 0, 2, 2, 3, 3, 2, 1, 1, 2, 4, 0, 3, 2, 0, 1, 4, 2, 1, 0, 3, 2, 1, 1, 4, 4, 3, 2, 2, 4, 4, 1, 0, 0, 0, 3, 0, 2, 0, 1, 2, 4, 3, 2, 1, 3, 2, 4, 1, 3, 3, 0, 2, 0, 4, 1, 2, 3, 3, 2, 0, 0, 0, 1, 1, 3, 3, 1, 2, 2, 0, 3, 1, 2, 2, 4, 4, 1, 2, 4, 2, 3, 4, 4, 3, 4, 4, 4, 4, 3, 2, 0, 0, 4, 3, 1, 2, 0, 1, 1, 3, 3, 3, 2, 4, 2, 3, 1, 2, 1, 1, 1, 3, 2, 1, 2, 0, 4, 1, 3, 0, 2, 0, 1, 4, 0, 2, 0, 0, 2, 4, 1, 4, 4, 3, 2, 4, 3, 3, 3, 1, 2, 2, 3, 0, 3, 0, 0, 2, 4, 1, 1, 4, 0, 1, 2, 1, 1, 3, 4, 3, 2, 2, 3, 2, 2, 2, 0, 0, 2, 4, 1, 1, 4, 0, 3, 3, 4, 2, 0, 2, 2, 4, 1, 1, 1, 0, 1, 2, 4, 2, 0, 1, 3, 0, 3, 4, 2, 2, 3, 2, 2, 1, 3, 3, 2, 4, 4, 3, 0, 2, 2, 1, 1, 2, 2, 2, 4, 4, 2, 1, 2, 2, 0, 1, 3, 0, 4, 1, 1, 4, 3, 0, 0, 4, 4, 0, 0, 3, 1, 3, 1, 3, 0, 2, 1] pubkeycol478 = [1, 0, 0, 3, 4, 2, 0, 4, 0, 4, 0, 0, 0, 3, 3, 3, 0, 4, 4, 3, 4, 1, 0, 4, 3, 3, 4, 0, 4, 1, 2, 0, 2, 1, 2, 1, 3, 1, 0, 0, 0, 0, 1, 1, 3, 2, 1, 0, 4, 0, 4, 0, 3, 3, 4, 2, 3, 3, 1, 1, 2, 2, 1, 4, 0, 4, 4, 0, 1, 2, 0, 4, 2, 1, 1, 4, 4, 3, 4, 3, 1, 3, 2, 0, 2, 3, 2, 2, 3, 1, 1, 2, 4, 4, 3, 4, 1, 0, 0, 4, 4, 3, 4, 0, 4, 2, 0, 4, 2, 4, 1, 4, 3, 0, 3, 1, 3, 1, 1, 3, 2, 2, 1, 3, 2, 2, 2, 4, 2, 2, 4, 0, 0, 2, 2, 1, 4, 2, 2, 0, 2, 3, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 3, 4, 2, 2, 2, 4, 1, 0, 4, 1, 2, 2, 2, 4, 1, 2, 2, 2, 2, 1, 4, 1, 2, 3, 2, 3, 2, 4, 0, 4, 4, 3, 3, 4, 0, 3, 3, 2, 3, 0, 0, 4, 3, 0, 0, 1, 4, 2, 0, 0, 0, 3, 2, 2, 1, 3, 2, 0, 1, 3, 3, 0, 4, 2, 4, 2, 1, 3, 1, 4, 0, 4, 3, 4, 2, 3, 1, 4, 4, 3, 2, 3, 2, 3, 0, 0, 0, 3, 4, 1, 3, 1, 2, 1, 0, 1, 3, 2, 3, 2, 1, 2, 1, 3, 4, 4, 4, 0, 3, 4, 1, 4, 1, 1, 4, 4, 2, 4, 0, 1, 2, 4, 2, 1, 1, 4, 1, 4, 3, 2, 2, 2, 3, 4, 0, 4, 2, 0, 2, 0, 4, 4, 3, 1, 1, 3, 1, 2, 1, 3, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 3, 2, 1, 0, 1, 0, 0, 0, 4, 3, 4, 3, 2, 1, 0, 4, 1, 3, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 3, 4, 1, 4, 1, 3, 2, 0, 0, 3, 0, 2, 2, 3, 4, 1, 0, 0, 4, 1, 1, 2, 3, 2, 4, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 1, 1, 3, 2, 0, 2, 2, 0, 3, 3, 0, 4, 1, 1, 3] pubkeycol479 = [0, 3, 1, 2, 2, 1, 3, 3, 2, 3, 0, 1, 2, 4, 4, 0, 1, 3, 4, 3, 1, 4, 0, 1, 4, 4, 4, 4, 1, 1, 1, 4, 0, 1, 4, 1, 2, 0, 4, 2, 3, 3, 2, 3, 1, 4, 0, 1, 1, 2, 3, 0, 2, 3, 4, 0, 3, 2, 4, 4, 1, 1, 2, 0, 4, 1, 3, 2, 1, 1, 3, 2, 3, 0, 4, 4, 0, 2, 0, 1, 4, 1, 1, 3, 0, 3, 1, 1, 4, 3, 0, 0, 3, 0, 1, 4, 3, 0, 1, 4, 2, 3, 1, 0, 4, 1, 0, 0, 3, 3, 4, 0, 0, 4, 2, 1, 0, 0, 4, 3, 2, 1, 2, 0, 1, 3, 3, 0, 4, 1, 3, 3, 1, 3, 1, 4, 4, 2, 0, 2, 4, 2, 4, 2, 1, 2, 1, 0, 3, 0, 3, 4, 2, 2, 0, 4, 4, 3, 1, 3, 4, 0, 4, 0, 2, 0, 1, 4, 0, 2, 0, 0, 4, 0, 2, 3, 2, 2, 2, 1, 4, 1, 1, 0, 4, 2, 3, 0, 4, 1, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 4, 4, 1, 2, 0, 4, 4, 1, 0, 0, 3, 2, 3, 0, 1, 3, 4, 1, 3, 4, 0, 0, 4, 1, 0, 0, 2, 3, 1, 4, 1, 2, 3, 3, 4, 4, 3, 0, 3, 4, 0, 1, 2, 2, 2, 3, 4, 1, 0, 2, 3, 1, 4, 2, 2, 0, 0, 1, 0, 3, 2, 0, 1, 3, 2, 0, 1, 0, 0, 3, 0, 3, 0, 3, 0, 3, 2, 4, 4, 2, 4, 3, 1, 2, 3, 3, 3, 0, 2, 4, 0, 0, 2, 2, 1, 0, 3, 4, 3, 4, 1, 4, 2, 1, 1, 1, 4, 1, 1, 0, 3, 2, 0, 0, 4, 1, 2, 0, 3, 3, 4, 4, 0, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 1, 4, 1, 2, 3, 4, 4, 3, 0, 2, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 4, 2, 0, 4, 3, 2, 1, 1, 2, 4, 0, 2, 4, 2, 3, 4, 1, 0, 4, 0, 4, 2, 4, 0, 4, 3, 2, 0, 0, 0, 4, 2, 2, 4, 3, 2, 0, 4, 1, 3, 1, 0, 3, 2, 1] pubkeycol480 = [1, 1, 3, 0, 2, 2, 1, 0, 1, 2, 2, 4, 3, 4, 0, 0, 1, 0, 1, 2, 0, 2, 2, 3, 4, 1, 1, 3, 2, 4, 2, 4, 1, 4, 0, 2, 4, 3, 1, 1, 2, 2, 1, 0, 4, 3, 2, 4, 2, 2, 4, 4, 1, 1, 4, 1, 3, 2, 2, 4, 1, 2, 2, 4, 4, 2, 2, 0, 4, 2, 2, 2, 0, 3, 2, 3, 1, 1, 2, 2, 4, 1, 0, 1, 0, 1, 0, 0, 0, 1, 3, 0, 0, 3, 2, 2, 0, 1, 3, 1, 3, 1, 1, 1, 4, 2, 3, 1, 0, 0, 2, 3, 0, 1, 0, 1, 3, 0, 4, 0, 2, 3, 4, 3, 2, 1, 3, 4, 4, 1, 2, 3, 2, 3, 1, 0, 1, 3, 3, 4, 1, 0, 4, 1, 3, 0, 0, 1, 4, 2, 4, 2, 4, 4, 2, 3, 4, 1, 4, 2, 2, 4, 2, 4, 1, 0, 4, 3, 0, 1, 0, 1, 2, 3, 4, 2, 3, 1, 1, 1, 2, 3, 1, 0, 1, 0, 4, 4, 2, 3, 2, 3, 0, 0, 1, 4, 2, 4, 0, 4, 3, 0, 3, 0, 0, 2, 3, 3, 2, 2, 4, 0, 4, 3, 3, 2, 0, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 3, 3, 3, 4, 2, 3, 4, 2, 3, 4, 2, 0, 4, 3, 1, 2, 1, 1, 4, 2, 2, 3, 2, 1, 3, 2, 3, 0, 4, 4, 1, 3, 4, 3, 3, 3, 1, 0, 3, 2, 2, 3, 1, 0, 4, 3, 4, 1, 3, 2, 1, 3, 1, 2, 0, 4, 3, 4, 2, 1, 2, 3, 4, 4, 3, 1, 4, 4, 4, 4, 0, 0, 3, 1, 3, 1, 4, 1, 2, 1, 1, 2, 4, 3, 0, 2, 1, 3, 0, 4, 4, 3, 2, 1, 1, 2, 1, 4, 0, 1, 3, 0, 3, 1, 0, 2, 2, 2, 1, 2, 2, 2, 3, 2, 3, 3, 3, 4, 3, 4, 0, 0, 2, 2, 0, 2, 0, 4, 1, 1, 0, 1, 0, 0, 1, 3, 3, 2, 3, 2, 1, 1, 1, 3, 4, 2, 2, 0, 2, 1, 1, 2, 4, 1, 1, 3, 1, 3, 2, 1, 4, 4, 4, 4, 4, 2, 3, 0, 3, 2, 1] pubkeycol481 = [0, 1, 0, 1, 0, 4, 3, 1, 3, 2, 2, 0, 3, 4, 3, 0, 1, 0, 1, 3, 0, 1, 2, 0, 4, 0, 3, 1, 3, 1, 3, 0, 1, 1, 3, 0, 0, 1, 2, 3, 1, 3, 2, 2, 1, 2, 3, 4, 3, 0, 2, 2, 2, 4, 3, 3, 1, 2, 2, 3, 0, 0, 4, 4, 4, 3, 3, 3, 1, 3, 4, 3, 1, 1, 0, 0, 4, 1, 0, 3, 1, 2, 0, 3, 1, 2, 2, 3, 1, 3, 0, 1, 2, 2, 2, 1, 2, 4, 0, 0, 1, 1, 4, 0, 1, 3, 2, 1, 0, 2, 1, 1, 1, 1, 4, 0, 2, 1, 0, 2, 3, 1, 4, 3, 4, 0, 2, 3, 4, 1, 0, 1, 2, 3, 4, 0, 3, 0, 3, 4, 1, 1, 0, 0, 2, 0, 1, 1, 4, 2, 3, 3, 0, 3, 2, 2, 1, 0, 3, 1, 0, 2, 2, 3, 1, 0, 4, 2, 0, 1, 2, 0, 4, 2, 3, 1, 1, 0, 2, 1, 3, 2, 3, 1, 0, 3, 3, 2, 2, 3, 2, 2, 2, 2, 0, 2, 3, 4, 0, 0, 2, 4, 1, 3, 0, 0, 4, 2, 4, 4, 3, 2, 2, 4, 3, 4, 4, 3, 2, 1, 0, 4, 2, 4, 4, 3, 3, 1, 1, 1, 4, 3, 2, 3, 4, 1, 4, 1, 4, 0, 3, 4, 1, 1, 3, 2, 3, 0, 4, 4, 1, 4, 1, 1, 4, 2, 3, 0, 4, 2, 3, 1, 0, 4, 1, 4, 3, 4, 2, 3, 0, 3, 2, 0, 2, 3, 2, 2, 1, 1, 3, 3, 0, 1, 4, 2, 4, 1, 2, 4, 3, 4, 1, 4, 2, 1, 4, 2, 2, 2, 3, 2, 4, 0, 0, 2, 3, 4, 4, 3, 2, 0, 4, 3, 1, 0, 4, 4, 3, 1, 1, 2, 1, 1, 3, 1, 2, 0, 3, 2, 2, 1, 0, 3, 0, 0, 4, 3, 4, 1, 3, 1, 0, 1, 1, 4, 4, 1, 4, 1, 1, 2, 3, 0, 4, 1, 1, 4, 2, 3, 1, 1, 4, 0, 2, 0, 4, 2, 0, 4, 3, 1, 2, 2, 0, 4, 0, 0, 3, 0, 2, 2, 3, 4, 2, 4, 3, 3, 0, 3, 0, 4, 4, 4, 4, 0, 0, 4, 2, 0] pubkeycol482 = [3, 1, 0, 1, 0, 4, 4, 1, 0, 3, 0, 0, 2, 4, 4, 4, 3, 1, 2, 0, 1, 0, 4, 1, 0, 4, 2, 1, 2, 1, 3, 2, 1, 1, 4, 1, 4, 4, 0, 2, 3, 3, 2, 4, 4, 2, 2, 0, 1, 4, 3, 4, 2, 3, 3, 0, 0, 2, 0, 2, 4, 0, 1, 4, 3, 0, 1, 2, 0, 0, 2, 1, 0, 3, 1, 3, 2, 3, 2, 0, 3, 1, 4, 2, 4, 0, 2, 1, 0, 0, 0, 4, 0, 3, 0, 1, 0, 0, 4, 4, 1, 4, 4, 2, 2, 3, 1, 4, 0, 0, 4, 2, 1, 1, 0, 3, 1, 4, 3, 3, 4, 1, 3, 1, 0, 0, 2, 3, 1, 4, 4, 3, 0, 2, 2, 2, 4, 4, 1, 2, 0, 4, 0, 2, 2, 4, 4, 3, 0, 4, 1, 2, 0, 4, 0, 3, 1, 0, 4, 1, 2, 0, 0, 1, 4, 4, 1, 3, 1, 0, 2, 2, 0, 4, 4, 4, 1, 1, 4, 3, 3, 0, 3, 4, 0, 0, 4, 3, 2, 3, 4, 0, 3, 2, 3, 0, 0, 0, 1, 1, 2, 1, 0, 4, 2, 1, 4, 4, 2, 4, 2, 2, 0, 4, 3, 1, 1, 1, 3, 4, 4, 3, 3, 3, 4, 4, 4, 4, 0, 2, 2, 2, 4, 4, 3, 0, 1, 1, 1, 0, 2, 4, 0, 1, 4, 0, 3, 0, 4, 2, 3, 4, 2, 2, 0, 2, 1, 2, 2, 3, 4, 3, 3, 0, 1, 0, 2, 1, 3, 4, 0, 2, 0, 3, 2, 2, 0, 1, 0, 1, 4, 4, 0, 4, 3, 2, 0, 2, 1, 4, 1, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 1, 2, 2, 1, 1, 4, 4, 2, 2, 4, 2, 2, 3, 3, 3, 1, 4, 0, 1, 3, 3, 0, 4, 3, 2, 1, 0, 2, 0, 2, 4, 4, 4, 1, 0, 0, 1, 4, 0, 3, 0, 1, 3, 0, 0, 3, 0, 1, 0, 2, 2, 0, 3, 2, 2, 1, 0, 0, 0, 1, 3, 2, 2, 2, 2, 0, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 2, 1, 2, 4, 3, 4, 3, 0, 4, 0, 0, 3, 0, 4, 2, 3, 4, 1, 2, 3, 2, 1, 4] pubkeycol483 = [2, 0, 4, 3, 2, 1, 4, 3, 0, 4, 0, 2, 1, 0, 4, 1, 0, 2, 3, 0, 1, 1, 0, 0, 2, 1, 4, 2, 0, 1, 1, 0, 1, 0, 2, 4, 1, 3, 4, 3, 3, 0, 4, 0, 0, 3, 2, 2, 1, 2, 3, 2, 3, 1, 4, 1, 3, 2, 2, 4, 3, 3, 1, 4, 2, 0, 0, 1, 3, 4, 4, 3, 2, 2, 2, 3, 4, 3, 4, 0, 0, 1, 0, 0, 1, 0, 4, 1, 1, 3, 2, 1, 3, 3, 1, 0, 4, 1, 1, 1, 1, 0, 3, 2, 1, 2, 4, 2, 4, 2, 0, 3, 3, 0, 3, 2, 3, 4, 1, 1, 3, 0, 2, 1, 1, 3, 4, 4, 4, 0, 2, 2, 1, 1, 3, 3, 2, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 1, 2, 3, 2, 4, 2, 3, 1, 3, 3, 2, 1, 4, 1, 1, 3, 2, 4, 2, 1, 3, 0, 3, 2, 3, 1, 2, 4, 2, 2, 1, 2, 4, 4, 3, 2, 2, 2, 4, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 3, 0, 2, 0, 2, 1, 4, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 4, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 4, 1, 3, 0, 2, 1, 2, 4, 0, 3, 2, 0, 2, 0, 3, 1, 4, 0, 4, 4, 3, 3, 1, 0, 2, 0, 1, 0, 2, 0, 4, 0, 2, 1, 1, 0, 3, 4, 2, 2, 1, 4, 4, 0, 4, 2, 4, 0, 0, 1, 3, 1, 4, 1, 2, 0, 0, 1, 4, 1, 1, 4, 4, 1, 0, 2, 4, 2, 3, 4, 4, 3, 2, 0, 0, 2, 1, 1, 4, 1, 3, 4, 0, 0, 2, 1, 3, 0, 3, 2, 0, 4, 3, 2, 3, 2, 3, 3, 1, 2, 0, 1, 1, 1, 2, 1, 3, 4, 4, 2, 1, 3, 2, 0, 4, 4, 2, 4, 0, 0, 2, 1, 0, 4, 1, 0, 0, 0, 2, 2, 3, 2, 0, 2, 1, 2, 1, 3, 0, 4, 4, 4, 3, 1, 1, 3, 2, 2, 0, 0, 2, 1, 4, 1, 1, 0, 4, 1, 0, 3, 3, 3, 1, 0, 2, 2, 4, 2, 2, 1, 1, 4] pubkeycol484 = [3, 4, 2, 2, 0, 3, 0, 2, 3, 1, 2, 3, 3, 3, 1, 3, 4, 3, 0, 2, 2, 0, 0, 1, 0, 0, 0, 4, 1, 0, 1, 4, 4, 1, 4, 2, 1, 2, 4, 0, 3, 1, 1, 2, 1, 2, 3, 3, 1, 2, 4, 3, 2, 0, 1, 2, 3, 2, 2, 4, 0, 0, 0, 4, 1, 4, 0, 3, 4, 1, 0, 2, 1, 0, 1, 4, 2, 0, 0, 2, 1, 4, 3, 3, 0, 3, 1, 3, 2, 1, 0, 2, 3, 4, 3, 4, 1, 4, 1, 2, 4, 0, 0, 1, 1, 1, 4, 2, 1, 1, 1, 0, 1, 2, 4, 3, 1, 1, 0, 3, 1, 0, 4, 1, 1, 1, 4, 3, 0, 0, 4, 1, 0, 0, 4, 4, 0, 2, 0, 1, 2, 2, 1, 0, 4, 4, 3, 3, 4, 0, 4, 4, 0, 0, 3, 4, 3, 1, 4, 4, 4, 2, 4, 2, 1, 1, 4, 4, 4, 3, 3, 4, 4, 3, 0, 4, 3, 2, 2, 3, 2, 2, 4, 3, 4, 0, 3, 0, 4, 2, 1, 2, 4, 4, 3, 4, 0, 2, 4, 3, 1, 1, 3, 0, 2, 3, 4, 2, 3, 0, 1, 2, 1, 2, 4, 1, 4, 3, 0, 1, 0, 1, 2, 0, 3, 3, 0, 4, 4, 1, 3, 2, 3, 2, 2, 3, 4, 0, 3, 1, 1, 4, 3, 4, 2, 1, 0, 4, 1, 4, 0, 1, 2, 0, 0, 3, 1, 3, 4, 0, 1, 1, 1, 3, 2, 4, 1, 0, 4, 3, 1, 3, 4, 0, 4, 0, 3, 3, 3, 0, 4, 2, 2, 4, 1, 3, 2, 2, 0, 3, 3, 4, 2, 4, 2, 2, 0, 0, 3, 0, 0, 0, 1, 1, 2, 3, 1, 0, 4, 2, 2, 0, 4, 0, 0, 2, 0, 3, 0, 1, 3, 4, 3, 1, 1, 2, 1, 4, 4, 4, 4, 2, 4, 0, 4, 4, 4, 0, 0, 3, 2, 3, 3, 0, 4, 2, 4, 3, 3, 3, 4, 1, 2, 1, 1, 4, 1, 4, 2, 2, 2, 3, 4, 4, 3, 0, 2, 3, 2, 2, 0, 4, 1, 4, 4, 4, 1, 3, 4, 3, 4, 0, 2, 2, 1, 2, 1, 0, 3, 3, 4, 3, 1, 1, 0, 3, 1, 1, 0, 0] pubkeycol485 = [4, 1, 2, 4, 2, 4, 2, 4, 0, 3, 2, 3, 4, 1, 2, 2, 3, 4, 0, 0, 0, 3, 0, 0, 3, 1, 0, 0, 0, 4, 1, 4, 4, 3, 4, 2, 0, 2, 2, 0, 4, 1, 0, 3, 4, 4, 0, 4, 1, 0, 3, 3, 0, 4, 3, 4, 1, 3, 1, 3, 1, 0, 4, 0, 0, 3, 1, 0, 1, 2, 3, 0, 2, 1, 2, 3, 1, 3, 2, 4, 1, 0, 1, 4, 2, 2, 2, 0, 2, 0, 1, 0, 1, 3, 4, 2, 3, 1, 2, 4, 0, 1, 3, 4, 2, 2, 2, 3, 0, 2, 3, 3, 4, 0, 2, 3, 4, 2, 1, 0, 0, 0, 0, 4, 2, 4, 0, 3, 1, 2, 3, 2, 4, 0, 1, 0, 3, 1, 0, 1, 4, 0, 2, 1, 3, 0, 0, 2, 2, 0, 3, 2, 4, 4, 0, 0, 0, 1, 0, 1, 0, 0, 3, 0, 1, 2, 2, 3, 0, 3, 4, 4, 3, 0, 0, 2, 2, 1, 4, 2, 1, 0, 4, 3, 1, 2, 4, 3, 1, 0, 3, 1, 2, 1, 3, 3, 2, 4, 4, 3, 0, 2, 3, 4, 3, 2, 1, 3, 3, 1, 1, 2, 4, 1, 3, 2, 1, 1, 3, 3, 1, 4, 1, 1, 4, 3, 2, 4, 3, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 3, 4, 0, 4, 1, 1, 2, 4, 2, 0, 3, 0, 4, 1, 4, 1, 4, 4, 2, 2, 3, 1, 0, 3, 1, 3, 1, 2, 4, 4, 0, 1, 4, 2, 2, 4, 3, 4, 3, 2, 4, 3, 4, 0, 1, 4, 1, 1, 0, 4, 2, 4, 1, 0, 2, 0, 3, 4, 2, 1, 2, 2, 3, 3, 1, 4, 1, 0, 0, 1, 1, 0, 4, 3, 4, 4, 2, 2, 3, 0, 2, 2, 0, 0, 4, 2, 0, 3, 3, 2, 3, 0, 3, 4, 2, 3, 2, 3, 1, 4, 2, 1, 2, 3, 3, 1, 2, 3, 3, 4, 3, 3, 1, 0, 4, 0, 3, 4, 0, 1, 2, 2, 3, 2, 4, 4, 2, 0, 2, 2, 4, 2, 3, 3, 2, 1, 1, 1, 0, 3, 2, 4, 4, 2, 0, 2, 0, 2, 4, 1, 0, 1, 2, 0, 1, 4, 3, 1, 2, 1, 3] pubkeycol486 = [2, 1, 1, 4, 4, 4, 1, 0, 2, 3, 0, 0, 2, 4, 4, 3, 2, 4, 4, 4, 1, 3, 1, 3, 3, 2, 1, 0, 1, 2, 0, 0, 0, 2, 3, 0, 3, 4, 1, 0, 3, 2, 4, 3, 4, 2, 1, 0, 3, 3, 3, 3, 2, 0, 0, 3, 0, 3, 3, 0, 3, 0, 2, 2, 2, 0, 2, 0, 4, 2, 1, 1, 1, 2, 1, 4, 1, 1, 4, 0, 1, 2, 3, 4, 2, 3, 2, 3, 3, 4, 1, 3, 1, 3, 1, 4, 2, 0, 3, 0, 4, 4, 0, 4, 2, 2, 0, 0, 4, 3, 1, 4, 4, 4, 4, 1, 1, 3, 3, 4, 2, 2, 3, 1, 1, 3, 3, 1, 4, 3, 1, 4, 2, 0, 3, 2, 3, 3, 1, 3, 1, 2, 4, 3, 3, 4, 4, 0, 2, 2, 3, 4, 2, 2, 2, 2, 4, 1, 1, 3, 1, 1, 2, 0, 3, 4, 4, 2, 3, 0, 0, 1, 3, 1, 4, 3, 2, 3, 0, 3, 1, 4, 0, 2, 2, 0, 1, 4, 1, 2, 2, 3, 1, 0, 3, 4, 4, 4, 1, 0, 0, 3, 4, 4, 3, 2, 4, 1, 3, 2, 2, 3, 4, 2, 2, 0, 0, 0, 4, 3, 4, 2, 4, 2, 4, 3, 0, 0, 4, 0, 1, 0, 4, 1, 4, 1, 0, 4, 3, 2, 1, 0, 0, 4, 3, 4, 0, 1, 4, 1, 0, 1, 0, 4, 1, 3, 0, 4, 2, 1, 1, 3, 1, 3, 3, 3, 4, 4, 4, 2, 4, 2, 2, 2, 2, 2, 0, 4, 3, 3, 4, 4, 0, 0, 1, 3, 2, 2, 2, 2, 4, 3, 0, 0, 4, 4, 1, 1, 3, 2, 1, 0, 4, 2, 1, 0, 4, 0, 0, 2, 3, 0, 4, 3, 0, 0, 1, 0, 1, 3, 3, 4, 0, 0, 0, 2, 0, 4, 1, 3, 1, 4, 1, 2, 3, 1, 4, 0, 4, 3, 1, 0, 4, 1, 0, 1, 1, 3, 4, 2, 4, 3, 2, 4, 4, 3, 1, 3, 0, 0, 4, 3, 0, 1, 1, 3, 4, 3, 4, 0, 4, 1, 0, 4, 3, 3, 4, 2, 1, 4, 0, 3, 4, 3, 1, 0, 2, 3, 4, 2, 1, 3, 0, 3, 3, 0, 0, 1, 4, 3] pubkeycol487 = [0, 2, 0, 0, 4, 4, 3, 2, 2, 1, 0, 0, 4, 4, 1, 3, 2, 4, 4, 3, 0, 0, 2, 3, 3, 3, 3, 2, 4, 3, 2, 0, 2, 4, 0, 3, 1, 3, 2, 3, 0, 2, 2, 3, 1, 4, 0, 2, 0, 1, 3, 0, 1, 3, 0, 4, 2, 1, 4, 0, 4, 0, 3, 3, 2, 1, 3, 1, 0, 1, 0, 0, 4, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 4, 3, 4, 2, 4, 1, 0, 3, 1, 4, 0, 0, 2, 1, 1, 3, 0, 0, 3, 0, 4, 3, 2, 4, 3, 3, 3, 2, 0, 1, 2, 1, 2, 4, 3, 4, 3, 0, 4, 2, 1, 0, 1, 2, 1, 3, 4, 3, 2, 0, 3, 0, 0, 0, 3, 4, 3, 0, 2, 0, 4, 0, 2, 2, 2, 0, 0, 3, 2, 3, 4, 2, 0, 1, 1, 4, 0, 2, 1, 3, 3, 3, 2, 1, 4, 3, 1, 3, 1, 1, 4, 0, 2, 3, 3, 4, 0, 3, 4, 0, 1, 2, 1, 0, 1, 1, 4, 0, 4, 2, 3, 3, 4, 1, 0, 2, 4, 4, 1, 2, 3, 0, 1, 2, 2, 3, 0, 1, 2, 2, 3, 0, 0, 3, 3, 1, 2, 0, 2, 0, 1, 3, 2, 2, 3, 3, 3, 1, 3, 4, 4, 0, 3, 0, 0, 1, 0, 2, 3, 3, 0, 4, 3, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 3, 0, 3, 2, 1, 1, 4, 3, 4, 1, 1, 2, 3, 0, 1, 3, 0, 3, 4, 1, 1, 2, 3, 3, 0, 0, 2, 4, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 4, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 3, 4, 2, 2, 0, 4, 4, 2, 0, 4, 4, 2, 3, 2, 1, 0, 0, 4, 1, 1, 4, 4, 4, 1, 0, 2, 4, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 0, 4, 4, 1, 0, 0, 0, 0, 3, 3, 2, 3, 0, 4, 1, 2, 2, 4, 2, 3, 4, 2, 1, 4, 2, 3, 2, 0, 3, 2, 1, 2, 3, 2, 3, 4, 4, 3, 4, 2, 4, 1, 1, 3, 1, 3, 4, 2, 1] pubkeycol488 = [1, 3, 3, 4, 3, 3, 1, 1, 3, 4, 1, 3, 2, 2, 3, 2, 3, 2, 3, 0, 3, 4, 2, 2, 2, 1, 3, 3, 0, 3, 3, 0, 0, 4, 1, 4, 2, 1, 2, 3, 3, 3, 2, 2, 1, 4, 3, 2, 1, 0, 2, 2, 0, 0, 0, 4, 3, 1, 2, 0, 3, 0, 1, 0, 0, 2, 2, 1, 3, 4, 4, 1, 3, 0, 1, 0, 1, 3, 3, 1, 0, 4, 3, 0, 3, 1, 4, 2, 2, 4, 0, 1, 2, 0, 2, 4, 3, 3, 0, 2, 3, 4, 1, 3, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 3, 1, 1, 0, 4, 4, 3, 3, 3, 3, 2, 3, 0, 1, 2, 3, 2, 2, 2, 0, 4, 0, 1, 3, 0, 1, 3, 0, 1, 1, 3, 1, 2, 0, 1, 1, 3, 4, 2, 2, 3, 3, 2, 1, 4, 2, 0, 3, 3, 4, 0, 4, 1, 2, 3, 4, 4, 0, 0, 4, 3, 1, 4, 1, 0, 0, 1, 4, 1, 1, 4, 2, 4, 1, 0, 0, 2, 3, 1, 4, 3, 3, 4, 4, 0, 3, 1, 1, 4, 0, 1, 4, 4, 4, 2, 3, 2, 3, 3, 1, 4, 2, 4, 3, 4, 2, 1, 4, 2, 1, 3, 0, 4, 0, 2, 4, 0, 1, 0, 2, 3, 3, 4, 2, 1, 0, 2, 0, 1, 4, 0, 0, 2, 4, 1, 2, 1, 2, 3, 1, 4, 4, 0, 0, 4, 1, 0, 0, 1, 2, 1, 1, 3, 0, 4, 1, 0, 3, 1, 2, 2, 4, 1, 4, 0, 3, 2, 2, 2, 1, 1, 4, 0, 3, 4, 4, 2, 1, 3, 2, 3, 4, 1, 2, 4, 2, 1, 4, 2, 3, 1, 0, 1, 4, 0, 4, 0, 2, 3, 0, 1, 4, 1, 4, 1, 3, 2, 4, 3, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 4, 1, 2, 2, 3, 4, 2, 1, 2, 2, 4, 0, 3, 1, 1, 2, 0, 2, 2, 3, 2, 3, 4, 1, 4, 1, 1, 2, 2, 0, 4, 4, 2, 3, 4, 1, 0, 1, 1, 1, 1, 4, 0, 1, 2, 3, 1, 1, 0, 4, 4, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0] pubkeycol489 = [0, 2, 3, 2, 4, 3, 3, 1, 2, 2, 1, 0, 2, 3, 1, 2, 3, 1, 4, 3, 0, 3, 3, 0, 0, 3, 3, 1, 4, 1, 3, 3, 4, 3, 4, 2, 4, 1, 2, 2, 1, 0, 4, 0, 1, 2, 0, 4, 3, 4, 0, 3, 0, 1, 3, 3, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 4, 2, 4, 2, 2, 2, 2, 0, 0, 0, 3, 1, 3, 4, 1, 2, 0, 3, 2, 4, 1, 3, 4, 4, 0, 0, 3, 0, 3, 1, 3, 0, 3, 1, 3, 0, 3, 1, 3, 4, 2, 2, 1, 3, 1, 1, 0, 2, 0, 4, 4, 2, 1, 0, 4, 0, 3, 0, 1, 1, 0, 2, 0, 4, 1, 2, 1, 4, 1, 0, 3, 2, 2, 4, 4, 0, 1, 0, 4, 0, 1, 0, 4, 3, 0, 4, 4, 1, 2, 2, 4, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 3, 1, 3, 2, 0, 2, 2, 4, 1, 0, 3, 2, 0, 3, 0, 1, 4, 0, 0, 1, 2, 0, 0, 0, 1, 4, 2, 4, 0, 0, 0, 0, 0, 3, 1, 4, 4, 3, 1, 4, 1, 1, 0, 2, 3, 4, 2, 3, 3, 1, 0, 4, 1, 2, 0, 1, 4, 2, 3, 0, 0, 3, 3, 1, 4, 2, 3, 4, 1, 0, 0, 1, 2, 1, 2, 1, 3, 2, 2, 0, 2, 1, 4, 4, 2, 3, 2, 4, 0, 3, 0, 0, 1, 1, 3, 1, 3, 1, 3, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 4, 4, 0, 3, 2, 2, 2, 3, 3, 2, 0, 0, 2, 0, 4, 4, 2, 0, 1, 3, 4, 0, 0, 3, 1, 4, 1, 0, 0, 1, 4, 4, 0, 0, 0, 0, 3, 4, 4, 4, 4, 2, 3, 0, 3, 2, 3, 1, 4, 0, 2, 3, 0, 2, 4, 3, 1, 3, 0, 0, 4, 4, 2, 3, 1, 0, 4, 3, 2, 3, 3, 3, 2, 0, 3, 4, 1, 2, 4, 3, 1, 1, 2, 2, 4, 2, 2, 1, 2, 2, 1, 1, 0, 4, 1, 0, 4, 1, 2, 0, 2, 4, 3, 4, 2, 2, 3, 1, 1, 4, 1, 2, 4, 0, 4, 2, 0, 2, 3, 3] pubkeycol490 = [0, 1, 2, 1, 0, 3, 4, 0, 0, 3, 4, 3, 3, 4, 3, 0, 4, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 0, 4, 1, 4, 1, 0, 1, 0, 2, 4, 3, 0, 1, 0, 4, 0, 0, 4, 2, 4, 3, 2, 2, 0, 3, 1, 3, 4, 2, 1, 1, 0, 3, 2, 1, 4, 2, 3, 1, 0, 1, 1, 1, 2, 1, 2, 4, 2, 0, 0, 0, 0, 1, 0, 2, 3, 0, 3, 2, 1, 2, 4, 3, 3, 2, 1, 0, 3, 3, 4, 3, 4, 0, 4, 0, 1, 3, 4, 0, 0, 3, 1, 4, 4, 4, 4, 1, 0, 2, 1, 2, 0, 0, 3, 0, 3, 1, 2, 4, 1, 1, 4, 1, 1, 1, 2, 3, 1, 0, 2, 1, 3, 1, 1, 1, 0, 3, 1, 2, 1, 4, 1, 1, 1, 0, 1, 2, 1, 2, 3, 0, 2, 1, 3, 0, 1, 4, 0, 0, 1, 2, 2, 2, 4, 1, 3, 3, 2, 4, 4, 4, 2, 2, 0, 0, 3, 0, 2, 2, 1, 0, 2, 0, 3, 4, 3, 2, 3, 2, 2, 2, 2, 4, 2, 4, 4, 2, 1, 1, 1, 0, 0, 3, 0, 0, 0, 0, 2, 0, 1, 2, 4, 0, 4, 3, 3, 1, 2, 1, 2, 0, 1, 0, 1, 0, 4, 4, 2, 1, 0, 2, 4, 3, 0, 0, 3, 4, 0, 4, 2, 3, 3, 2, 2, 2, 4, 0, 3, 2, 4, 2, 2, 4, 1, 4, 1, 2, 4, 4, 2, 4, 1, 0, 0, 1, 2, 1, 4, 2, 1, 2, 0, 3, 1, 3, 0, 2, 1, 3, 0, 0, 1, 3, 2, 3, 3, 1, 2, 4, 2, 1, 1, 2, 2, 0, 3, 0, 0, 3, 4, 2, 1, 4, 2, 4, 2, 2, 3, 1, 2, 2, 2, 2, 1, 0, 2, 2, 3, 4, 1, 0, 3, 2, 4, 2, 2, 0, 4, 1, 3, 2, 1, 2, 3, 1, 3, 1, 1, 1, 3, 0, 2, 0, 0, 4, 0, 3, 1, 0, 2, 4, 4, 0, 4, 3, 4, 4, 4, 3, 4, 3, 2, 3, 0, 4, 1, 2, 2, 1, 3, 1, 0, 2, 4, 1, 4, 4, 0, 1, 4, 2, 4, 3, 0, 1, 4, 4, 2, 4, 3, 2, 2] pubkeycol491 = [1, 4, 2, 4, 1, 1, 3, 2, 0, 1, 4, 4, 1, 2, 3, 2, 4, 1, 4, 0, 3, 4, 3, 0, 2, 4, 1, 4, 1, 0, 3, 1, 1, 3, 0, 4, 0, 3, 2, 4, 1, 2, 4, 2, 0, 0, 2, 1, 0, 4, 0, 1, 3, 0, 0, 3, 4, 4, 2, 2, 3, 4, 0, 0, 0, 0, 2, 3, 2, 2, 2, 1, 0, 2, 3, 2, 0, 1, 3, 0, 2, 3, 1, 4, 3, 4, 3, 4, 1, 3, 3, 3, 1, 4, 3, 0, 0, 4, 3, 0, 4, 1, 2, 4, 0, 4, 4, 4, 4, 3, 2, 2, 4, 2, 4, 1, 4, 1, 4, 4, 3, 1, 2, 4, 3, 1, 0, 2, 1, 2, 1, 3, 2, 2, 0, 4, 4, 3, 0, 4, 4, 4, 2, 2, 2, 3, 3, 1, 2, 1, 4, 3, 1, 0, 1, 0, 0, 1, 0, 0, 2, 3, 2, 3, 1, 3, 1, 3, 1, 0, 3, 4, 4, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 3, 4, 4, 1, 3, 4, 4, 0, 1, 2, 2, 4, 1, 3, 3, 0, 0, 1, 4, 3, 4, 1, 0, 2, 0, 4, 4, 1, 2, 4, 3, 0, 4, 0, 3, 1, 1, 4, 1, 3, 4, 3, 1, 2, 4, 0, 4, 0, 4, 1, 3, 0, 4, 4, 1, 0, 2, 2, 4, 2, 3, 0, 0, 0, 3, 1, 1, 2, 3, 1, 2, 3, 2, 3, 1, 1, 0, 0, 0, 2, 4, 4, 0, 4, 3, 1, 1, 3, 1, 2, 4, 1, 4, 1, 4, 1, 4, 0, 2, 2, 4, 2, 2, 3, 4, 1, 0, 3, 0, 1, 3, 2, 4, 2, 4, 4, 3, 1, 4, 2, 4, 3, 1, 2, 3, 4, 2, 3, 3, 4, 2, 4, 0, 1, 4, 4, 0, 4, 0, 4, 2, 2, 4, 4, 3, 3, 0, 0, 2, 4, 4, 1, 0, 1, 2, 2, 1, 4, 2, 2, 2, 1, 4, 4, 4, 2, 4, 3, 4, 0, 4, 2, 0, 1, 4, 0, 1, 2, 3, 3, 3, 2, 4, 1, 1, 2, 4, 1, 3, 0, 2, 3, 0, 0, 0, 4, 1, 1, 1, 4, 4, 2, 4, 3, 1, 0, 2, 1, 3, 4, 1, 1, 0, 4, 2, 4, 4] pubkeycol492 = [2, 4, 1, 1, 4, 4, 3, 3, 1, 1, 2, 2, 3, 2, 3, 4, 2, 3, 4, 3, 2, 2, 0, 3, 4, 0, 2, 4, 0, 0, 0, 3, 3, 2, 0, 2, 2, 4, 4, 4, 2, 3, 0, 3, 4, 4, 3, 2, 3, 2, 0, 1, 1, 0, 2, 2, 1, 4, 4, 4, 2, 0, 2, 1, 4, 0, 0, 2, 0, 4, 2, 4, 2, 3, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 3, 0, 0, 0, 4, 0, 4, 3, 2, 3, 4, 3, 1, 3, 1, 3, 1, 4, 0, 3, 0, 1, 4, 3, 3, 2, 1, 1, 0, 2, 1, 4, 4, 0, 2, 4, 4, 4, 3, 3, 4, 3, 0, 3, 2, 2, 3, 3, 0, 2, 1, 3, 0, 3, 0, 3, 4, 4, 2, 1, 2, 4, 4, 3, 0, 1, 1, 4, 3, 0, 4, 3, 2, 3, 0, 3, 0, 1, 2, 2, 3, 4, 0, 3, 4, 4, 1, 3, 1, 0, 3, 3, 3, 4, 1, 4, 2, 4, 4, 1, 0, 1, 4, 2, 4, 3, 3, 1, 1, 3, 4, 0, 2, 2, 4, 3, 3, 3, 3, 0, 0, 0, 4, 0, 4, 2, 1, 4, 1, 4, 2, 4, 4, 2, 4, 1, 4, 4, 3, 4, 0, 3, 4, 0, 4, 1, 3, 4, 0, 3, 1, 0, 4, 0, 3, 1, 0, 3, 3, 0, 1, 2, 3, 4, 2, 0, 4, 0, 3, 2, 2, 0, 1, 4, 0, 2, 2, 0, 3, 1, 4, 2, 4, 2, 0, 1, 4, 2, 3, 3, 2, 0, 3, 1, 4, 1, 0, 3, 1, 2, 4, 3, 3, 1, 2, 1, 3, 3, 4, 0, 1, 4, 0, 0, 1, 1, 0, 0, 4, 1, 2, 3, 1, 3, 4, 0, 2, 3, 4, 1, 3, 1, 2, 0, 0, 2, 2, 3, 4, 4, 2, 3, 2, 4, 2, 4, 0, 1, 1, 4, 3, 4, 0, 3, 1, 4, 3, 1, 1, 4, 3, 1, 2, 2, 0, 1, 0, 1, 0, 2, 4, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 3, 1, 1, 3, 0, 2, 3, 1, 2, 2, 3, 1, 2, 1, 3, 0, 2, 1, 0, 1, 4, 4, 4, 3, 4, 1, 0, 3, 1, 3, 0, 1] pubkeycol493 = [2, 0, 0, 3, 0, 1, 4, 2, 3, 1, 1, 1, 4, 3, 3, 3, 0, 4, 3, 4, 3, 3, 3, 1, 1, 0, 3, 3, 1, 4, 0, 4, 0, 0, 1, 2, 0, 2, 0, 4, 2, 2, 4, 1, 0, 4, 4, 2, 3, 4, 3, 3, 0, 3, 4, 4, 2, 3, 3, 0, 1, 4, 1, 2, 0, 1, 1, 3, 0, 4, 1, 2, 0, 0, 2, 4, 2, 3, 3, 0, 1, 3, 4, 1, 3, 4, 4, 4, 3, 3, 0, 4, 2, 0, 4, 0, 1, 1, 0, 4, 1, 4, 1, 0, 1, 0, 1, 3, 1, 1, 1, 0, 3, 2, 1, 2, 2, 1, 2, 1, 3, 3, 2, 1, 1, 4, 0, 3, 0, 0, 0, 2, 4, 4, 2, 2, 1, 2, 0, 1, 4, 2, 0, 4, 2, 3, 3, 1, 3, 3, 3, 2, 0, 4, 0, 3, 4, 3, 4, 0, 1, 3, 3, 1, 4, 4, 0, 1, 4, 0, 3, 2, 4, 4, 2, 4, 1, 0, 0, 3, 3, 0, 4, 2, 2, 2, 1, 1, 3, 4, 0, 0, 0, 1, 4, 4, 4, 1, 0, 4, 0, 0, 0, 2, 3, 0, 4, 3, 1, 2, 2, 3, 0, 3, 2, 3, 2, 3, 4, 2, 4, 3, 3, 1, 4, 2, 3, 1, 2, 3, 4, 1, 0, 3, 4, 2, 0, 1, 0, 2, 1, 4, 1, 0, 2, 2, 2, 1, 4, 1, 1, 2, 1, 1, 3, 1, 3, 1, 1, 2, 1, 4, 1, 0, 4, 4, 4, 4, 4, 3, 3, 0, 0, 1, 0, 0, 2, 2, 1, 4, 4, 4, 2, 2, 0, 1, 2, 2, 0, 4, 2, 3, 3, 0, 3, 0, 0, 0, 1, 0, 1, 2, 3, 0, 0, 4, 1, 4, 4, 1, 4, 1, 1, 0, 1, 3, 1, 2, 0, 3, 1, 2, 2, 4, 4, 3, 2, 2, 3, 3, 3, 2, 3, 1, 4, 4, 3, 3, 4, 1, 3, 0, 1, 0, 0, 3, 3, 2, 1, 4, 4, 2, 3, 0, 4, 4, 2, 0, 2, 3, 2, 3, 1, 4, 3, 2, 3, 1, 0, 0, 1, 4, 4, 2, 2, 4, 2, 1, 0, 3, 3, 4, 3, 4, 4, 1, 0, 4, 0, 3, 2, 1, 4, 4, 1, 3, 3, 2, 2, 2] pubkeycol494 = [2, 0, 2, 0, 0, 0, 4, 1, 0, 0, 3, 3, 1, 3, 0, 4, 2, 1, 1, 0, 0, 2, 0, 3, 0, 1, 2, 2, 1, 3, 1, 0, 1, 3, 0, 4, 2, 2, 3, 0, 0, 3, 0, 0, 0, 4, 4, 1, 3, 3, 0, 4, 4, 1, 2, 4, 1, 0, 3, 2, 2, 4, 4, 0, 4, 2, 2, 0, 2, 0, 1, 2, 3, 2, 2, 2, 0, 3, 1, 2, 0, 2, 3, 3, 4, 1, 1, 2, 3, 1, 4, 2, 0, 3, 0, 4, 2, 0, 4, 3, 2, 2, 4, 4, 1, 1, 0, 0, 3, 3, 4, 3, 2, 3, 3, 0, 3, 3, 1, 2, 3, 3, 4, 2, 1, 0, 1, 3, 4, 2, 1, 2, 1, 1, 2, 4, 2, 3, 4, 2, 3, 3, 4, 2, 3, 4, 1, 1, 2, 3, 1, 1, 2, 4, 1, 0, 0, 0, 2, 1, 4, 4, 1, 2, 2, 3, 4, 1, 4, 2, 2, 0, 1, 4, 4, 3, 1, 1, 0, 3, 1, 4, 3, 2, 1, 2, 2, 3, 1, 3, 0, 2, 1, 1, 3, 3, 4, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 3, 0, 0, 2, 1, 0, 1, 4, 2, 2, 0, 2, 1, 0, 2, 0, 1, 4, 2, 4, 3, 1, 4, 1, 2, 3, 3, 1, 0, 3, 3, 4, 3, 2, 1, 2, 0, 3, 2, 4, 3, 1, 0, 3, 1, 0, 1, 0, 2, 0, 0, 2, 0, 3, 2, 2, 2, 2, 4, 4, 1, 1, 1, 0, 2, 3, 4, 1, 1, 0, 4, 3, 4, 2, 2, 2, 3, 3, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 3, 4, 1, 0, 3, 0, 4, 1, 4, 3, 1, 2, 4, 4, 1, 0, 1, 4, 2, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 4, 3, 0, 2, 0, 1, 0, 2, 4, 1, 1, 3, 1, 1, 4, 4, 4, 4, 1, 3, 1, 0, 1, 1, 2, 4, 3, 4, 4, 1, 0, 2, 1, 1, 2, 1, 3, 1, 1, 2, 1, 2, 3, 3, 4, 4, 2, 4, 2, 0, 3, 3, 3, 3, 2, 0, 3, 1, 0, 3, 2, 4, 2, 2, 2, 3, 1, 2, 1] pubkeycol495 = [4, 0, 1, 3, 2, 1, 0, 4, 0, 2, 0, 2, 3, 3, 3, 4, 3, 1, 1, 0, 2, 1, 3, 1, 4, 4, 0, 0, 1, 3, 4, 3, 3, 3, 0, 2, 0, 2, 4, 0, 1, 3, 4, 1, 4, 2, 3, 2, 2, 3, 2, 3, 2, 4, 0, 2, 4, 1, 1, 4, 2, 4, 1, 3, 4, 0, 3, 3, 1, 2, 3, 4, 2, 3, 1, 0, 4, 2, 1, 0, 1, 3, 3, 1, 1, 3, 4, 2, 1, 4, 0, 3, 2, 2, 2, 2, 1, 0, 1, 4, 0, 1, 1, 2, 3, 3, 3, 1, 3, 3, 4, 2, 0, 0, 4, 2, 2, 0, 2, 4, 1, 0, 0, 4, 2, 3, 1, 2, 1, 2, 3, 4, 3, 3, 4, 4, 4, 3, 1, 3, 0, 4, 3, 4, 2, 0, 2, 4, 3, 2, 0, 1, 1, 1, 4, 4, 3, 2, 0, 3, 0, 0, 1, 1, 4, 2, 2, 2, 3, 1, 1, 1, 3, 3, 4, 2, 4, 2, 1, 0, 0, 1, 0, 3, 0, 2, 0, 1, 3, 2, 2, 1, 4, 3, 4, 3, 2, 0, 2, 4, 1, 1, 2, 3, 2, 2, 2, 0, 4, 2, 2, 2, 1, 3, 2, 2, 1, 1, 4, 0, 3, 0, 0, 4, 0, 0, 1, 0, 1, 0, 4, 3, 1, 1, 0, 4, 1, 1, 2, 2, 1, 2, 0, 1, 4, 0, 4, 1, 4, 4, 3, 2, 4, 0, 3, 1, 4, 0, 2, 0, 2, 4, 2, 3, 2, 1, 2, 3, 3, 4, 1, 1, 0, 4, 4, 2, 2, 4, 3, 3, 2, 4, 2, 2, 0, 1, 4, 2, 3, 1, 0, 0, 1, 4, 2, 1, 4, 0, 3, 3, 0, 4, 3, 1, 3, 0, 0, 1, 3, 2, 1, 4, 0, 0, 0, 1, 0, 4, 2, 1, 4, 0, 4, 3, 1, 0, 2, 3, 0, 0, 1, 3, 2, 2, 3, 4, 2, 1, 4, 3, 2, 1, 2, 0, 0, 3, 4, 2, 3, 2, 2, 0, 2, 4, 0, 3, 2, 0, 1, 2, 1, 1, 1, 2, 2, 3, 1, 2, 1, 4, 1, 0, 4, 0, 0, 0, 2, 3, 1, 1, 4, 4, 2, 2, 4, 1, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 4, 1, 0, 4] pubkeycol496 = [4, 0, 2, 2, 2, 3, 1, 3, 0, 1, 2, 2, 3, 3, 2, 2, 3, 4, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 3, 2, 3, 2, 3, 4, 1, 4, 0, 2, 3, 0, 0, 1, 0, 2, 0, 4, 0, 1, 0, 3, 3, 4, 0, 1, 4, 1, 0, 3, 1, 4, 2, 1, 4, 2, 1, 0, 4, 3, 2, 2, 2, 1, 4, 0, 2, 0, 4, 4, 0, 3, 2, 2, 4, 4, 2, 0, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 0, 2, 4, 2, 3, 2, 4, 3, 0, 4, 0, 0, 3, 1, 3, 0, 3, 3, 1, 0, 2, 3, 4, 1, 3, 1, 1, 1, 3, 0, 2, 3, 0, 4, 1, 1, 0, 3, 2, 2, 3, 1, 1, 1, 2, 0, 2, 0, 0, 3, 4, 0, 3, 1, 3, 1, 1, 2, 4, 1, 4, 0, 2, 1, 0, 3, 2, 3, 1, 2, 0, 0, 3, 3, 0, 3, 4, 4, 4, 3, 4, 3, 0, 2, 0, 4, 0, 4, 1, 0, 2, 0, 4, 1, 0, 3, 4, 4, 4, 4, 3, 2, 1, 4, 1, 1, 2, 4, 1, 4, 4, 0, 1, 1, 1, 3, 3, 0, 3, 4, 1, 3, 1, 4, 4, 4, 0, 0, 0, 1, 3, 0, 4, 2, 4, 4, 1, 4, 4, 2, 0, 2, 4, 3, 4, 4, 3, 4, 0, 2, 0, 1, 2, 1, 2, 1, 3, 4, 2, 4, 2, 4, 1, 0, 0, 3, 3, 4, 1, 0, 3, 0, 1, 3, 3, 0, 2, 3, 3, 2, 1, 1, 4, 4, 0, 2, 3, 2, 4, 3, 1, 3, 0, 0, 1, 2, 4, 1, 4, 0, 4, 2, 2, 0, 2, 2, 2, 1, 0, 3, 0, 1, 2, 4, 2, 2, 4, 3, 0, 1, 3, 1, 2, 3, 4, 2, 0, 2, 0, 2, 0, 3, 0, 0, 3, 1, 4, 3, 2, 0, 3, 1, 0, 3, 2, 3, 2, 1, 4, 3, 4, 3, 4, 2, 4, 4, 3, 3, 2, 3, 1, 2, 1, 3, 3, 4, 1, 2, 0, 2, 1, 3, 3, 0, 2, 4, 0, 1, 4, 1, 1, 2, 0, 2, 1, 2, 0, 2, 4, 1, 2, 4, 0, 0, 1, 1, 2, 4, 0, 4] pubkeycol497 = [3, 4, 4, 4, 1, 3, 4, 2, 4, 0, 0, 1, 1, 4, 4, 3, 2, 0, 0, 2, 1, 0, 0, 2, 4, 2, 2, 1, 3, 2, 2, 1, 3, 4, 3, 4, 2, 4, 1, 3, 0, 1, 3, 2, 0, 4, 4, 4, 3, 0, 2, 1, 1, 4, 1, 1, 2, 2, 1, 3, 1, 1, 2, 2, 4, 2, 4, 0, 4, 3, 4, 0, 3, 3, 3, 4, 4, 1, 1, 2, 1, 0, 2, 4, 2, 0, 4, 1, 4, 1, 4, 4, 4, 3, 1, 2, 3, 0, 0, 3, 4, 2, 3, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 1, 1, 3, 1, 1, 0, 2, 3, 4, 2, 1, 1, 3, 4, 3, 0, 2, 3, 0, 0, 0, 1, 1, 2, 2, 3, 0, 4, 4, 4, 4, 3, 4, 0, 3, 4, 3, 3, 1, 3, 0, 4, 0, 4, 1, 2, 0, 4, 0, 1, 4, 4, 4, 1, 4, 4, 3, 0, 4, 4, 2, 0, 2, 3, 3, 1, 0, 1, 4, 0, 2, 1, 3, 4, 3, 4, 0, 2, 3, 4, 3, 4, 0, 0, 4, 4, 2, 2, 0, 0, 1, 1, 0, 3, 4, 4, 2, 3, 1, 1, 2, 0, 3, 4, 2, 1, 1, 3, 4, 1, 1, 3, 1, 3, 0, 0, 4, 1, 4, 1, 1, 3, 2, 1, 0, 3, 0, 1, 4, 0, 2, 3, 4, 3, 0, 0, 3, 0, 0, 3, 4, 0, 1, 2, 4, 4, 1, 3, 1, 2, 3, 0, 4, 0, 2, 2, 0, 4, 4, 3, 2, 2, 0, 4, 0, 1, 3, 0, 4, 4, 3, 1, 0, 0, 4, 1, 4, 4, 3, 3, 2, 2, 2, 4, 0, 1, 4, 1, 1, 0, 1, 0, 0, 2, 4, 2, 4, 2, 4, 4, 2, 2, 4, 0, 2, 4, 0, 2, 3, 1, 1, 1, 3, 3, 4, 3, 3, 2, 4, 0, 3, 3, 1, 3, 0, 0, 0, 2, 4, 4, 0, 4, 3, 2, 2, 4, 3, 2, 2, 4, 0, 1, 2, 3, 1, 3, 2, 0, 1, 3, 1, 1, 2, 3, 2, 1, 1, 0, 4, 0, 4, 1, 0, 4, 4, 3, 0, 4, 1, 2, 0, 1, 0, 0, 1, 1, 4, 0, 1, 3, 2, 4, 3, 2, 4, 4] pubkeycol498 = [0, 2, 3, 1, 2, 0, 2, 0, 4, 3, 2, 4, 0, 0, 1, 1, 4, 3, 4, 2, 0, 2, 1, 3, 4, 3, 1, 4, 1, 4, 2, 1, 1, 1, 2, 4, 3, 4, 3, 0, 3, 2, 2, 0, 1, 0, 4, 3, 3, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 3, 3, 1, 3, 3, 4, 3, 3, 2, 2, 4, 0, 3, 2, 3, 1, 1, 3, 4, 2, 1, 2, 2, 1, 3, 0, 3, 4, 3, 2, 1, 3, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 3, 2, 4, 1, 1, 4, 4, 2, 0, 0, 1, 3, 1, 2, 4, 0, 0, 4, 3, 1, 0, 1, 3, 1, 0, 0, 3, 4, 4, 4, 3, 0, 1, 3, 3, 3, 2, 2, 3, 1, 3, 3, 0, 3, 1, 1, 1, 1, 1, 0, 1, 0, 3, 4, 4, 3, 2, 3, 3, 3, 1, 4, 3, 1, 4, 1, 1, 1, 3, 2, 0, 3, 0, 0, 3, 1, 4, 0, 1, 0, 3, 4, 1, 4, 4, 0, 1, 1, 2, 2, 3, 1, 3, 3, 1, 0, 1, 1, 3, 1, 4, 1, 1, 4, 2, 0, 3, 0, 0, 2, 4, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 3, 1, 1, 2, 2, 0, 2, 0, 3, 2, 0, 3, 3, 3, 1, 0, 4, 0, 4, 1, 1, 4, 3, 0, 3, 0, 3, 1, 2, 2, 0, 4, 1, 0, 1, 0, 1, 1, 3, 2, 1, 4, 3, 0, 4, 3, 0, 3, 1, 2, 3, 2, 3, 4, 3, 0, 0, 3, 1, 4, 1, 2, 1, 3, 0, 2, 3, 1, 3, 4, 4, 3, 1, 1, 2, 3, 0, 1, 4, 2, 0, 1, 1, 2, 1, 2, 4, 1, 1, 1, 0, 1, 3, 4, 4, 2, 2, 2, 1, 4, 3, 4, 0, 0, 2, 3, 1, 4, 1, 0, 1, 0, 4, 3, 2, 1, 3, 4, 4, 0, 0, 1, 0, 1, 0, 4, 0, 0, 1, 2, 3, 3, 2, 1, 1, 4, 0, 1, 1, 4, 3, 4, 2, 4, 0, 1, 4, 3, 0, 3, 3, 0, 4, 3, 1, 3, 3, 3, 1, 1, 1, 4, 1, 1, 1, 4, 1, 2, 4, 4, 0, 0, 2, 0] pubkeycol499 = [0, 4, 1, 1, 2, 0, 0, 4, 0, 4, 2, 0, 4, 0, 1, 1, 0, 0, 2, 1, 3, 0, 0, 2, 0, 2, 2, 3, 2, 2, 3, 0, 3, 3, 2, 4, 4, 4, 2, 3, 0, 3, 4, 3, 1, 0, 4, 2, 2, 4, 1, 0, 1, 0, 4, 3, 1, 0, 0, 4, 4, 3, 1, 0, 3, 2, 0, 4, 3, 0, 4, 2, 4, 4, 2, 3, 0, 1, 0, 1, 4, 1, 1, 3, 3, 1, 3, 3, 2, 0, 3, 4, 2, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 4, 0, 0, 0, 2, 0, 2, 3, 2, 4, 4, 4, 3, 4, 4, 3, 4, 1, 1, 2, 2, 3, 0, 4, 0, 2, 4, 3, 4, 0, 0, 3, 2, 2, 3, 1, 4, 2, 4, 3, 1, 2, 1, 2, 0, 4, 4, 4, 1, 3, 1, 4, 2, 0, 0, 3, 0, 2, 2, 0, 1, 4, 3, 3, 2, 2, 3, 0, 3, 4, 3, 4, 0, 3, 1, 0, 3, 2, 0, 2, 1, 1, 2, 4, 0, 1, 2, 4, 0, 4, 0, 4, 2, 3, 0, 0, 1, 2, 4, 3, 1, 1, 2, 4, 2, 4, 1, 2, 1, 3, 2, 3, 1, 3, 1, 0, 1, 3, 0, 2, 4, 4, 3, 1, 1, 3, 0, 4, 0, 3, 0, 0, 2, 4, 4, 0, 2, 3, 0, 1, 1, 4, 3, 0, 2, 0, 0, 3, 4, 2, 4, 2, 3, 3, 3, 3, 4, 0, 1, 4, 1, 0, 4, 1, 3, 3, 0, 3, 3, 3, 0, 1, 2, 4, 0, 0, 1, 0, 1, 4, 1, 0, 2, 0, 0, 2, 0, 4, 2, 0, 1, 2, 1, 0, 0, 4, 1, 1, 2, 1, 4, 1, 3, 3, 2, 4, 2, 1, 2, 2, 2, 3, 3, 4, 0, 4, 3, 2, 0, 1, 2, 4, 4, 0, 2, 0, 0, 4, 3, 2, 3, 2, 3, 3, 1, 4, 0, 1, 0, 0, 4, 2, 0, 3, 3, 2, 2, 2, 0, 4, 1, 0, 1, 0, 2, 4, 1, 1, 1, 1, 3, 1, 0, 4, 3, 1, 2, 2, 3, 2, 2, 3, 0, 1, 3, 1, 3, 3, 1, 2, 3, 1, 3, 0, 4, 2, 1, 2, 1, 1, 1, 3, 0, 1, 4, 3, 1] pubkeycol500 = [4, 0, 3, 1, 3, 1, 1, 2, 4, 1, 4, 3, 4, 2, 1, 2, 2, 3, 3, 4, 3, 3, 3, 3, 0, 1, 4, 2, 0, 4, 0, 0, 0, 3, 4, 3, 3, 1, 2, 3, 1, 4, 2, 1, 4, 1, 1, 0, 4, 2, 3, 3, 1, 4, 1, 0, 4, 3, 1, 0, 0, 1, 4, 2, 3, 0, 4, 1, 2, 1, 1, 0, 2, 4, 3, 0, 3, 3, 4, 1, 0, 4, 4, 3, 4, 4, 2, 0, 0, 4, 2, 0, 1, 4, 4, 4, 2, 1, 0, 2, 1, 2, 2, 1, 4, 1, 2, 2, 2, 0, 0, 3, 4, 2, 3, 3, 3, 3, 1, 2, 3, 3, 3, 0, 3, 0, 2, 4, 0, 3, 4, 2, 4, 3, 3, 0, 4, 3, 0, 0, 0, 0, 3, 3, 2, 4, 1, 1, 1, 3, 1, 4, 4, 4, 4, 0, 0, 1, 2, 3, 4, 2, 2, 4, 3, 0, 2, 2, 2, 0, 0, 1, 3, 0, 1, 4, 3, 2, 2, 0, 3, 1, 2, 4, 1, 2, 0, 4, 0, 3, 3, 0, 3, 3, 1, 4, 0, 0, 0, 2, 2, 4, 1, 0, 3, 0, 2, 3, 4, 4, 1, 4, 0, 2, 3, 0, 1, 4, 2, 4, 0, 4, 2, 3, 3, 0, 0, 2, 1, 3, 3, 0, 1, 0, 3, 2, 3, 1, 4, 0, 2, 4, 1, 4, 0, 2, 0, 1, 4, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 4, 2, 2, 2, 0, 0, 4, 1, 1, 2, 4, 4, 0, 4, 4, 0, 4, 0, 3, 2, 0, 2, 3, 3, 1, 3, 4, 3, 2, 0, 4, 0, 1, 1, 2, 0, 1, 4, 1, 1, 4, 0, 2, 2, 0, 4, 4, 1, 2, 4, 2, 2, 3, 3, 4, 3, 2, 3, 4, 0, 3, 0, 2, 2, 0, 3, 4, 3, 2, 0, 0, 1, 2, 3, 0, 4, 4, 2, 0, 2, 4, 0, 4, 4, 2, 0, 1, 4, 4, 3, 1, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 4, 1, 2, 0, 0, 1, 4, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 4, 2, 4, 0, 0, 2, 4, 2, 3, 0, 0, 1, 3] pubkeycol501 = [0, 2, 2, 4, 0, 3, 3, 2, 3, 4, 4, 0, 2, 1, 4, 0, 2, 0, 2, 4, 4, 2, 0, 1, 1, 2, 0, 2, 2, 1, 4, 2, 1, 0, 0, 1, 4, 1, 2, 0, 4, 0, 0, 4, 0, 1, 2, 3, 3, 4, 2, 4, 1, 4, 0, 4, 3, 2, 1, 2, 4, 2, 3, 2, 0, 4, 1, 2, 0, 1, 0, 1, 4, 1, 3, 3, 2, 0, 2, 1, 2, 4, 3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 4, 1, 1, 4, 0, 0, 3, 3, 4, 1, 3, 2, 3, 1, 0, 4, 1, 2, 2, 1, 0, 0, 1, 0, 2, 3, 4, 3, 0, 1, 0, 3, 3, 4, 2, 0, 1, 2, 0, 1, 1, 4, 4, 3, 4, 2, 0, 0, 2, 3, 1, 0, 0, 4, 3, 3, 3, 0, 1, 4, 1, 2, 3, 0, 3, 3, 1, 4, 1, 1, 0, 0, 3, 1, 3, 3, 0, 2, 0, 2, 2, 4, 3, 3, 3, 3, 0, 1, 1, 1, 3, 0, 3, 3, 4, 2, 0, 3, 4, 2, 0, 3, 4, 3, 3, 0, 0, 3, 0, 3, 2, 0, 0, 0, 1, 2, 2, 4, 3, 2, 0, 2, 2, 0, 1, 0, 3, 0, 2, 2, 2, 1, 2, 2, 3, 0, 1, 4, 1, 1, 0, 0, 2, 2, 3, 4, 4, 0, 2, 1, 3, 2, 3, 0, 1, 3, 3, 2, 3, 4, 4, 3, 4, 2, 3, 4, 1, 3, 2, 4, 4, 0, 0, 2, 0, 0, 1, 3, 2, 3, 0, 2, 3, 0, 1, 2, 0, 3, 2, 3, 4, 0, 3, 0, 2, 0, 3, 0, 1, 2, 0, 4, 3, 3, 1, 3, 3, 4, 0, 2, 3, 1, 0, 1, 3, 2, 2, 4, 3, 2, 1, 2, 1, 1, 1, 4, 2, 0, 2, 0, 3, 2, 3, 1, 2, 2, 1, 3, 3, 1, 3, 1, 3, 0, 3, 3, 3, 3, 0, 4, 3, 4, 3, 2, 0, 1, 1, 2, 3, 3, 0, 0, 3, 2, 2, 3, 0, 4, 3, 0, 0, 3, 0, 0, 3, 4, 3, 3, 3, 0, 0, 3, 0, 2, 0, 0, 2, 1, 3, 3, 0, 1, 2, 0, 3, 0, 4, 0, 0, 0, 3, 4, 3, 4, 0, 0] pubkeycol502 = [0, 3, 4, 1, 2, 2, 1, 0, 0, 3, 1, 1, 4, 3, 3, 0, 0, 1, 4, 2, 4, 4, 3, 3, 1, 0, 2, 0, 3, 0, 3, 1, 2, 2, 3, 4, 2, 2, 2, 2, 2, 0, 2, 2, 4, 2, 3, 3, 0, 4, 2, 2, 1, 2, 2, 0, 0, 1, 3, 2, 1, 2, 0, 0, 0, 2, 3, 4, 3, 3, 1, 0, 4, 3, 0, 1, 4, 1, 3, 1, 3, 3, 1, 0, 3, 0, 2, 2, 2, 1, 0, 1, 3, 0, 4, 4, 1, 1, 1, 3, 0, 0, 2, 1, 4, 0, 2, 0, 3, 0, 2, 2, 0, 1, 0, 1, 4, 4, 3, 4, 2, 4, 2, 4, 3, 3, 1, 1, 1, 3, 4, 1, 3, 0, 0, 0, 4, 1, 3, 3, 1, 2, 0, 0, 3, 3, 3, 1, 2, 4, 0, 3, 2, 4, 3, 2, 3, 3, 3, 1, 4, 3, 0, 2, 0, 1, 4, 3, 4, 3, 2, 4, 2, 0, 1, 2, 4, 2, 0, 3, 1, 4, 4, 3, 0, 2, 3, 3, 4, 3, 3, 2, 4, 0, 1, 2, 4, 2, 2, 1, 2, 2, 1, 3, 2, 4, 0, 1, 0, 2, 4, 1, 1, 2, 3, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 4, 1, 4, 2, 2, 2, 1, 2, 1, 1, 4, 1, 0, 2, 2, 0, 4, 1, 4, 2, 0, 2, 0, 1, 4, 2, 4, 4, 4, 4, 0, 0, 4, 2, 4, 4, 0, 3, 0, 0, 1, 0, 3, 3, 2, 1, 1, 4, 1, 0, 4, 3, 1, 2, 1, 0, 3, 2, 0, 1, 3, 1, 2, 1, 3, 1, 4, 2, 2, 2, 0, 3, 1, 2, 0, 0, 2, 1, 0, 3, 1, 1, 2, 0, 2, 1, 2, 4, 4, 2, 1, 1, 4, 1, 3, 1, 4, 0, 0, 4, 4, 0, 4, 3, 3, 1, 0, 4, 0, 3, 1, 4, 2, 4, 3, 4, 1, 2, 4, 4, 4, 0, 4, 0, 0, 1, 3, 1, 2, 3, 2, 1, 3, 0, 3, 4, 3, 4, 3, 4, 0, 0, 1, 3, 3, 3, 2, 0, 1, 4, 2, 4, 0, 3, 1, 3, 3, 1, 3, 2, 4, 2, 3, 4, 3, 2, 1, 4, 1, 3, 2, 0, 0, 1, 1] pubkeycol503 = [1, 3, 0, 3, 3, 4, 0, 3, 2, 1, 4, 0, 1, 0, 1, 4, 0, 1, 3, 1, 1, 4, 0, 3, 1, 3, 0, 4, 3, 0, 3, 3, 1, 4, 4, 1, 2, 3, 2, 0, 4, 3, 0, 0, 2, 2, 4, 1, 3, 1, 0, 3, 0, 2, 0, 0, 0, 3, 1, 3, 2, 4, 3, 4, 1, 2, 1, 2, 2, 1, 1, 4, 4, 3, 0, 0, 1, 0, 1, 1, 2, 4, 2, 0, 3, 3, 1, 3, 3, 4, 4, 0, 1, 2, 3, 1, 3, 1, 3, 0, 1, 0, 0, 0, 1, 0, 3, 3, 0, 1, 3, 4, 4, 0, 3, 0, 3, 3, 2, 1, 2, 3, 2, 4, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 3, 2, 4, 2, 3, 0, 0, 4, 0, 2, 0, 4, 3, 3, 0, 1, 0, 0, 2, 3, 1, 3, 1, 1, 1, 4, 0, 1, 4, 0, 1, 4, 2, 4, 3, 3, 2, 0, 3, 4, 2, 2, 0, 0, 4, 2, 0, 1, 3, 0, 2, 2, 2, 3, 4, 2, 4, 1, 3, 1, 0, 1, 0, 2, 0, 2, 4, 3, 2, 2, 2, 2, 1, 3, 3, 1, 2, 0, 4, 2, 3, 3, 0, 3, 1, 0, 1, 4, 0, 0, 4, 4, 0, 2, 3, 2, 0, 0, 4, 1, 0, 1, 3, 1, 0, 4, 2, 3, 0, 4, 0, 4, 0, 2, 3, 1, 4, 1, 3, 3, 1, 3, 1, 1, 0, 3, 1, 4, 3, 0, 4, 0, 2, 4, 0, 4, 3, 0, 1, 4, 3, 3, 4, 1, 4, 0, 4, 2, 2, 4, 1, 2, 3, 2, 0, 1, 0, 4, 1, 3, 3, 4, 2, 3, 1, 0, 1, 2, 2, 4, 1, 3, 2, 0, 4, 3, 2, 3, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 4, 3, 4, 2, 4, 3, 3, 3, 3, 1, 1, 3, 2, 1, 0, 2, 4, 2, 4, 0, 4, 1, 0, 0, 0, 0, 4, 1, 4, 2, 4, 3, 3, 2, 0, 3, 4, 1, 0, 1, 4, 2, 1, 3, 0, 4, 0, 4, 0, 4, 2, 3, 3, 4, 3, 1, 0, 1, 1, 2, 3, 2, 4, 1, 0, 4, 1, 3, 4, 3, 1, 0, 3, 4, 4, 1, 3, 4] pubkeycol504 = [4, 1, 2, 2, 3, 2, 2, 1, 4, 2, 2, 4, 2, 1, 3, 4, 3, 0, 4, 0, 3, 0, 4, 1, 3, 0, 2, 4, 4, 1, 1, 1, 0, 4, 2, 4, 4, 2, 2, 0, 2, 2, 3, 4, 0, 2, 4, 1, 4, 4, 0, 0, 2, 1, 4, 0, 2, 3, 2, 3, 0, 4, 1, 1, 4, 0, 4, 1, 2, 1, 0, 1, 2, 3, 0, 0, 2, 2, 0, 1, 0, 3, 1, 1, 0, 4, 2, 3, 0, 0, 4, 1, 1, 1, 2, 4, 1, 3, 2, 3, 0, 4, 0, 3, 4, 4, 3, 1, 0, 2, 4, 1, 3, 3, 3, 4, 4, 2, 2, 2, 1, 1, 1, 0, 1, 2, 4, 4, 1, 0, 1, 0, 2, 2, 2, 1, 3, 4, 0, 0, 3, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 4, 0, 4, 3, 3, 4, 0, 1, 1, 0, 3, 2, 1, 0, 3, 0, 0, 0, 4, 0, 0, 4, 2, 1, 3, 4, 0, 0, 4, 1, 2, 1, 0, 2, 0, 3, 1, 2, 1, 0, 3, 4, 0, 2, 3, 3, 2, 0, 0, 0, 4, 0, 3, 4, 2, 4, 0, 1, 1, 3, 3, 1, 2, 1, 1, 0, 4, 2, 3, 1, 0, 1, 2, 4, 4, 0, 4, 4, 2, 4, 0, 2, 3, 2, 0, 2, 4, 4, 0, 1, 2, 4, 4, 2, 1, 0, 2, 3, 0, 1, 0, 3, 1, 3, 2, 1, 2, 0, 2, 3, 1, 4, 1, 2, 2, 4, 1, 2, 2, 1, 0, 3, 2, 1, 4, 1, 4, 2, 0, 2, 3, 0, 0, 1, 3, 4, 0, 4, 1, 3, 3, 1, 2, 4, 4, 3, 0, 3, 3, 3, 3, 0, 1, 0, 1, 2, 2, 1, 4, 1, 4, 0, 4, 2, 1, 3, 1, 4, 3, 0, 2, 2, 0, 1, 4, 2, 4, 4, 0, 4, 2, 1, 3, 3, 1, 0, 1, 0, 2, 1, 0, 3, 1, 2, 3, 1, 0, 4, 1, 1, 2, 3, 0, 4, 1, 4, 3, 0, 1, 0, 1, 2, 1, 2, 2, 3, 4, 4, 1, 2, 3, 2, 4, 3, 3, 2, 1, 4, 4, 1, 4, 2, 1, 2, 2, 0, 2, 4, 4, 2, 1, 4, 2, 3, 0, 4, 0] pubkeycol505 = [3, 2, 1, 4, 1, 3, 4, 2, 4, 2, 1, 4, 1, 4, 4, 4, 1, 2, 3, 0, 4, 0, 0, 2, 4, 3, 3, 2, 1, 4, 2, 3, 4, 0, 0, 0, 3, 0, 4, 0, 3, 1, 1, 1, 0, 2, 4, 3, 0, 4, 1, 1, 3, 2, 4, 2, 4, 1, 3, 3, 0, 4, 2, 2, 1, 0, 2, 0, 4, 0, 2, 2, 4, 3, 3, 0, 0, 4, 0, 4, 3, 3, 3, 1, 1, 1, 1, 2, 1, 3, 1, 0, 2, 1, 3, 0, 0, 2, 0, 1, 2, 1, 2, 3, 3, 2, 3, 0, 0, 2, 3, 3, 3, 4, 3, 2, 0, 1, 1, 1, 2, 0, 1, 2, 4, 3, 3, 3, 3, 0, 1, 3, 1, 4, 3, 1, 3, 1, 4, 4, 4, 1, 2, 4, 4, 4, 3, 3, 1, 0, 0, 1, 3, 0, 1, 3, 2, 1, 0, 3, 1, 4, 1, 2, 2, 0, 2, 4, 4, 4, 3, 2, 0, 0, 0, 4, 3, 4, 4, 1, 2, 2, 3, 2, 1, 2, 2, 0, 3, 3, 4, 1, 4, 1, 3, 3, 3, 1, 1, 3, 2, 2, 1, 4, 4, 2, 4, 3, 2, 3, 0, 4, 1, 1, 1, 0, 2, 1, 0, 2, 3, 4, 4, 0, 1, 4, 0, 2, 2, 3, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 3, 4, 0, 2, 1, 1, 1, 2, 0, 2, 3, 3, 2, 0, 4, 3, 1, 0, 0, 3, 1, 0, 4, 2, 4, 4, 1, 4, 1, 1, 0, 2, 3, 4, 2, 4, 4, 1, 3, 1, 4, 2, 1, 0, 3, 3, 0, 3, 4, 2, 2, 2, 4, 0, 1, 3, 3, 3, 4, 3, 4, 1, 3, 1, 3, 4, 3, 0, 4, 2, 2, 2, 4, 4, 3, 2, 1, 0, 0, 2, 1, 1, 4, 1, 2, 0, 4, 0, 1, 4, 3, 3, 1, 2, 3, 1, 4, 4, 1, 3, 4, 1, 4, 3, 0, 1, 0, 4, 2, 1, 3, 3, 3, 3, 3, 3, 0, 4, 2, 4, 1, 3, 0, 4, 1, 4, 0, 3, 0, 4, 1, 1, 2, 1, 3, 1, 1, 3, 0, 0, 4, 1, 1, 1, 0, 4, 1, 4, 4, 2, 1, 3, 2, 2, 4, 1, 3, 0, 0, 3] pubkeycol506 = [3, 4, 4, 0, 1, 0, 2, 1, 2, 1, 4, 4, 0, 0, 0, 4, 4, 3, 4, 4, 4, 2, 4, 0, 1, 4, 3, 3, 2, 4, 3, 3, 0, 3, 2, 2, 2, 1, 1, 3, 4, 1, 4, 4, 1, 0, 3, 3, 3, 1, 0, 4, 3, 0, 2, 1, 3, 2, 4, 4, 3, 4, 2, 3, 1, 3, 1, 2, 1, 2, 0, 1, 4, 0, 1, 2, 1, 0, 2, 0, 0, 2, 4, 2, 0, 2, 3, 4, 1, 4, 3, 4, 1, 0, 4, 0, 1, 1, 4, 4, 4, 2, 1, 3, 1, 2, 0, 0, 0, 2, 4, 0, 4, 4, 4, 3, 0, 2, 0, 3, 1, 1, 0, 1, 1, 4, 1, 2, 1, 1, 2, 3, 2, 4, 4, 4, 0, 3, 3, 1, 3, 3, 4, 1, 3, 1, 3, 0, 2, 1, 1, 2, 3, 4, 0, 4, 2, 2, 0, 2, 3, 4, 1, 4, 4, 0, 0, 2, 0, 4, 4, 2, 4, 4, 4, 1, 2, 1, 1, 0, 0, 3, 3, 1, 1, 0, 1, 4, 4, 0, 3, 2, 2, 1, 2, 4, 4, 0, 3, 3, 2, 4, 0, 4, 3, 4, 2, 4, 0, 1, 1, 3, 1, 2, 4, 1, 3, 0, 0, 3, 0, 4, 3, 1, 4, 3, 2, 0, 4, 3, 4, 2, 2, 2, 3, 2, 1, 3, 1, 2, 3, 1, 2, 1, 4, 4, 4, 3, 1, 1, 0, 1, 3, 2, 2, 4, 3, 2, 2, 2, 1, 4, 4, 3, 2, 3, 0, 1, 4, 3, 3, 1, 4, 2, 1, 3, 2, 1, 0, 0, 4, 1, 0, 4, 2, 3, 0, 2, 2, 1, 1, 4, 0, 3, 3, 3, 4, 0, 4, 3, 1, 2, 2, 1, 3, 0, 2, 0, 2, 0, 1, 4, 1, 2, 4, 4, 0, 4, 3, 0, 2, 4, 0, 1, 3, 2, 4, 2, 0, 0, 4, 2, 1, 0, 1, 2, 0, 4, 2, 3, 2, 1, 1, 0, 2, 4, 3, 1, 4, 1, 2, 4, 3, 4, 3, 1, 1, 3, 0, 1, 3, 2, 4, 0, 0, 4, 0, 3, 4, 3, 2, 4, 0, 4, 4, 3, 3, 1, 4, 3, 3, 1, 1, 0, 1, 4, 3, 4, 4, 3, 3, 4, 2, 0, 1, 2, 0, 2, 4, 2] pubkeycol507 = [3, 0, 1, 4, 4, 2, 3, 0, 2, 4, 2, 3, 1, 4, 3, 1, 3, 3, 0, 1, 2, 1, 4, 2, 0, 4, 0, 1, 3, 2, 2, 4, 1, 0, 4, 1, 3, 0, 1, 3, 2, 4, 3, 0, 2, 3, 0, 4, 1, 3, 0, 0, 2, 2, 4, 1, 2, 0, 3, 1, 3, 4, 0, 2, 1, 1, 0, 4, 1, 2, 3, 2, 1, 0, 4, 1, 0, 2, 3, 4, 4, 0, 2, 4, 0, 1, 1, 4, 1, 4, 4, 2, 0, 3, 0, 2, 0, 1, 3, 4, 1, 3, 4, 1, 3, 1, 0, 2, 4, 1, 3, 2, 0, 3, 0, 4, 1, 4, 4, 0, 2, 2, 3, 4, 0, 0, 2, 4, 0, 0, 3, 1, 2, 3, 1, 2, 1, 3, 3, 3, 2, 3, 0, 3, 4, 3, 3, 3, 2, 2, 0, 0, 0, 4, 3, 0, 3, 3, 0, 1, 1, 3, 4, 0, 2, 1, 2, 3, 3, 3, 0, 3, 1, 3, 3, 1, 4, 0, 4, 2, 2, 2, 4, 1, 2, 0, 3, 4, 0, 2, 3, 0, 4, 1, 0, 3, 4, 0, 2, 1, 0, 2, 1, 0, 1, 2, 3, 0, 4, 4, 2, 4, 2, 4, 4, 3, 3, 2, 1, 3, 3, 0, 4, 0, 1, 3, 3, 1, 1, 0, 3, 4, 1, 4, 4, 3, 1, 0, 3, 2, 0, 1, 4, 0, 0, 0, 0, 0, 3, 0, 3, 2, 4, 1, 4, 1, 4, 2, 2, 4, 2, 0, 1, 3, 1, 0, 3, 1, 2, 1, 2, 3, 1, 0, 4, 2, 3, 4, 1, 0, 1, 1, 1, 4, 4, 0, 1, 2, 0, 4, 0, 0, 1, 3, 0, 4, 1, 1, 2, 3, 4, 1, 4, 2, 2, 0, 4, 3, 3, 3, 0, 3, 1, 3, 3, 2, 1, 4, 0, 4, 0, 3, 1, 0, 4, 0, 0, 2, 1, 2, 1, 2, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 1, 1, 2, 3, 1, 0, 1, 0, 4, 4, 2, 1, 3, 3, 4, 0, 0, 1, 3, 3, 1, 4, 0, 0, 2, 4, 2, 1, 2, 2, 4, 0, 2, 4, 0, 4, 4, 0, 2, 4, 4, 4, 3, 0, 2, 4, 4, 3, 3, 4, 1, 1, 1, 2, 1] pubkeycol508 = [2, 2, 4, 3, 3, 1, 2, 0, 1, 3, 2, 0, 4, 3, 2, 4, 0, 3, 2, 0, 4, 1, 3, 2, 4, 1, 3, 4, 2, 2, 4, 1, 4, 0, 0, 3, 4, 4, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 4, 4, 4, 0, 3, 2, 1, 1, 2, 4, 4, 4, 0, 2, 0, 3, 3, 3, 4, 1, 1, 4, 1, 0, 1, 2, 0, 4, 0, 3, 3, 1, 3, 3, 3, 1, 3, 4, 1, 4, 1, 1, 1, 4, 2, 4, 4, 3, 2, 2, 3, 4, 2, 1, 4, 1, 4, 4, 0, 4, 0, 1, 1, 4, 0, 0, 1, 2, 4, 2, 4, 0, 3, 2, 2, 4, 2, 4, 4, 3, 1, 0, 2, 4, 1, 2, 0, 3, 0, 2, 4, 3, 2, 4, 1, 3, 2, 4, 1, 4, 0, 3, 0, 3, 3, 1, 1, 1, 0, 1, 0, 4, 0, 0, 2, 0, 2, 4, 4, 0, 0, 2, 2, 0, 3, 1, 1, 2, 1, 2, 0, 1, 2, 4, 3, 3, 4, 4, 3, 3, 4, 1, 0, 0, 4, 4, 0, 3, 4, 3, 3, 0, 2, 0, 3, 0, 0, 4, 1, 3, 3, 1, 3, 3, 2, 0, 4, 0, 1, 3, 0, 0, 1, 2, 1, 1, 1, 2, 3, 1, 2, 0, 1, 4, 3, 2, 4, 1, 4, 4, 0, 2, 0, 4, 1, 0, 1, 1, 3, 3, 4, 1, 0, 2, 0, 2, 2, 4, 2, 1, 0, 0, 3, 3, 2, 4, 2, 2, 1, 0, 2, 2, 1, 4, 1, 4, 4, 3, 2, 4, 0, 1, 0, 1, 1, 1, 3, 2, 0, 2, 4, 3, 3, 2, 1, 1, 3, 1, 0, 2, 4, 0, 3, 0, 3, 0, 3, 3, 2, 2, 4, 4, 2, 4, 2, 0, 3, 3, 0, 1, 1, 0, 0, 4, 0, 1, 2, 2, 2, 3, 3, 1, 4, 1, 0, 4, 1, 2, 1, 1, 0, 4, 2, 4, 3, 0, 3, 4, 3, 2, 0, 3, 1, 1, 2, 1, 0, 3, 0, 1, 0, 0, 1, 0, 3, 1, 4, 3, 0, 0, 1, 4, 3, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 4, 4, 4, 3, 2, 4, 2, 3, 1, 0, 0, 1, 2, 0, 0, 4, 2] pubkeycol509 = [1, 2, 3, 0, 0, 2, 4, 3, 2, 4, 2, 2, 0, 3, 1, 4, 1, 2, 2, 2, 0, 3, 4, 2, 1, 0, 0, 1, 1, 2, 3, 3, 2, 0, 2, 0, 4, 2, 4, 4, 1, 4, 1, 4, 3, 1, 3, 3, 1, 1, 3, 0, 4, 2, 3, 2, 2, 1, 1, 1, 0, 3, 2, 4, 0, 2, 3, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 3, 2, 3, 4, 3, 2, 1, 1, 3, 4, 0, 4, 3, 0, 4, 2, 1, 1, 1, 4, 1, 3, 3, 3, 0, 4, 2, 4, 0, 2, 3, 1, 0, 0, 0, 2, 1, 4, 4, 3, 1, 4, 4, 2, 1, 1, 2, 1, 0, 1, 3, 4, 1, 1, 3, 4, 1, 2, 1, 1, 3, 3, 0, 2, 4, 0, 4, 3, 2, 1, 1, 0, 2, 0, 3, 0, 1, 1, 1, 2, 2, 3, 4, 4, 4, 1, 1, 0, 4, 3, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 3, 3, 3, 4, 0, 4, 4, 1, 1, 4, 2, 0, 4, 3, 1, 1, 1, 4, 1, 4, 1, 4, 3, 0, 2, 1, 4, 2, 1, 0, 4, 0, 3, 4, 0, 2, 3, 4, 4, 1, 1, 0, 2, 4, 3, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 3, 0, 0, 4, 3, 3, 4, 0, 3, 0, 4, 4, 2, 4, 0, 4, 4, 3, 4, 0, 4, 4, 2, 3, 0, 1, 2, 1, 0, 3, 3, 2, 4, 1, 3, 3, 3, 4, 4, 4, 4, 3, 3, 1, 0, 3, 0, 1, 3, 2, 3, 1, 4, 0, 2, 0, 3, 0, 2, 4, 0, 1, 3, 0, 1, 0, 4, 1, 2, 4, 4, 4, 3, 4, 0, 1, 3, 3, 4, 4, 0, 4, 1, 1, 0, 3, 2, 0, 3, 1, 2, 0, 2, 0, 2, 2, 2, 4, 1, 1, 3, 4, 3, 3, 4, 4, 1, 3, 2, 3, 0, 2, 4, 3, 2, 0, 3, 2, 2, 3, 3, 0, 3, 0, 2, 1, 4, 3, 2, 1, 0, 3, 2, 3, 0, 3, 4, 1, 1, 1, 2, 0, 3, 0, 1, 4, 1, 0, 3, 2, 1, 0, 1, 4, 1, 4, 3, 4, 1, 2, 4, 1, 2, 4, 2, 0, 1] pubkeycol510 = [2, 4, 1, 3, 1, 2, 0, 2, 2, 1, 3, 4, 1, 3, 0, 4, 0, 2, 2, 3, 1, 3, 1, 2, 3, 4, 0, 2, 1, 3, 1, 4, 0, 1, 4, 1, 4, 0, 3, 4, 2, 0, 1, 1, 3, 1, 2, 0, 0, 2, 4, 4, 3, 1, 1, 0, 0, 1, 3, 3, 2, 3, 4, 1, 4, 0, 0, 1, 3, 3, 0, 2, 3, 0, 2, 2, 2, 2, 0, 0, 1, 0, 4, 1, 4, 3, 4, 4, 3, 0, 2, 2, 3, 1, 3, 4, 1, 1, 3, 4, 0, 3, 4, 1, 3, 3, 3, 2, 2, 0, 1, 2, 1, 3, 4, 1, 4, 0, 1, 2, 2, 2, 2, 0, 1, 3, 3, 4, 4, 1, 2, 1, 4, 4, 2, 3, 4, 3, 3, 2, 3, 2, 3, 2, 0, 4, 2, 4, 4, 1, 3, 2, 4, 2, 1, 2, 2, 0, 3, 0, 2, 0, 2, 0, 2, 4, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 4, 2, 3, 0, 4, 2, 4, 4, 3, 1, 4, 2, 3, 4, 0, 4, 0, 3, 0, 3, 3, 1, 1, 4, 3, 0, 2, 0, 4, 4, 4, 1, 1, 0, 3, 4, 3, 4, 3, 3, 0, 3, 3, 2, 0, 0, 3, 1, 4, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 4, 0, 3, 1, 2, 4, 4, 0, 4, 3, 2, 0, 0, 3, 2, 0, 0, 1, 4, 0, 3, 2, 2, 4, 0, 1, 3, 0, 2, 2, 4, 4, 0, 0, 4, 0, 3, 3, 1, 1, 3, 1, 3, 2, 1, 1, 4, 0, 4, 3, 3, 0, 2, 1, 4, 0, 1, 4, 2, 3, 2, 2, 1, 4, 3, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 0, 3, 4, 3, 2, 3, 4, 0, 1, 4, 1, 4, 0, 0, 2, 4, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 4, 0, 3, 2, 3, 1, 3, 1, 0, 1, 3, 2, 2, 3, 4, 0, 2, 1, 0, 0, 0, 3, 4, 2, 2, 3, 3, 2, 1, 0, 3, 3, 4, 4, 4, 4, 2, 4, 3, 1, 3, 2, 0, 4, 2, 1, 4, 1, 1, 4, 4, 3, 2, 0, 2, 0, 3, 2, 4, 3, 4, 4, 1] pubkeycol511 = [3, 3, 4, 1, 0, 0, 2, 1, 2, 4, 1, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 2, 2, 2, 4, 0, 2, 0, 3, 0, 3, 1, 4, 0, 4, 1, 2, 2, 0, 1, 0, 3, 4, 2, 1, 0, 4, 4, 3, 1, 1, 3, 0, 0, 1, 3, 3, 4, 1, 4, 3, 2, 1, 4, 3, 1, 1, 0, 0, 4, 4, 1, 0, 0, 4, 3, 4, 1, 2, 2, 0, 0, 4, 3, 2, 2, 1, 0, 4, 1, 3, 4, 2, 3, 4, 1, 1, 0, 3, 1, 3, 3, 1, 4, 1, 1, 1, 2, 4, 3, 1, 1, 3, 2, 0, 4, 1, 3, 0, 1, 0, 1, 2, 1, 2, 2, 0, 3, 0, 0, 0, 3, 1, 3, 3, 4, 0, 3, 3, 1, 1, 1, 3, 3, 2, 4, 2, 4, 1, 0, 0, 4, 2, 3, 3, 3, 2, 3, 0, 3, 1, 1, 2, 3, 4, 4, 1, 0, 3, 0, 1, 3, 1, 3, 2, 0, 3, 4, 1, 4, 0, 2, 0, 2, 0, 1, 2, 1, 0, 3, 3, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 3, 3, 4, 1, 4, 1, 4, 4, 2, 0, 1, 1, 2, 2, 3, 3, 1, 4, 4, 1, 4, 3, 0, 4, 2, 4, 0, 4, 3, 4, 4, 0, 2, 1, 0, 3, 1, 1, 2, 4, 2, 0, 2, 0, 0, 3, 2, 3, 2, 2, 3, 1, 2, 0, 1, 1, 3, 0, 3, 0, 4, 4, 2, 1, 3, 3, 3, 4, 3, 4, 4, 2, 1, 0, 4, 3, 3, 0, 1, 3, 4, 4, 0, 3, 1, 0, 0, 0, 0, 1, 2, 3, 4, 1, 2, 3, 2, 2, 3, 1, 4, 3, 4, 4, 2, 2, 0, 4, 0, 1, 4, 1, 0, 2, 3, 0, 0, 2, 2, 4, 4, 2, 2, 4, 2, 0, 0, 1, 4, 2, 1, 0, 4, 2, 3, 3, 2, 4, 1, 3, 0, 0, 2, 2, 0, 0, 2, 4, 3, 2, 2, 3, 4, 4, 0, 3, 3, 1, 0, 0, 2, 1, 1, 4, 0, 3, 3, 3, 2, 4, 3, 1, 3, 4, 3, 0, 2, 4, 1, 2, 1, 2, 3, 0, 4, 4, 0, 2, 4, 0, 3, 2, 3, 4, 4, 3, 2] pubkeycol512 = [4, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 3, 4, 3, 3, 2, 0, 2, 4, 0, 0, 1, 2, 3, 4, 0, 0, 2, 3, 4, 4, 0, 3, 1, 1, 3, 3, 1, 1, 2, 4, 0, 4, 4, 3, 1, 3, 3, 1, 3, 4, 0, 4, 4, 4, 1, 4, 4, 3, 3, 2, 1, 4, 2, 0, 4, 1, 2, 0, 0, 4, 3, 0, 4, 0, 2, 4, 2, 2, 2, 0, 4, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 1, 1, 1, 0, 3, 1, 2, 1, 1, 3, 0, 0, 0, 2, 4, 3, 3, 1, 3, 1, 1, 4, 0, 4, 1, 3, 2, 0, 0, 1, 3, 1, 2, 4, 4, 4, 3, 2, 3, 1, 0, 4, 4, 4, 3, 1, 2, 3, 2, 0, 2, 1, 4, 1, 0, 2, 0, 3, 2, 2, 2, 0, 4, 1, 2, 1, 0, 1, 1, 2, 3, 1, 4, 3, 1, 1, 1, 2, 4, 2, 1, 1, 4, 4, 4, 2, 0, 3, 4, 0, 4, 3, 3, 0, 1, 3, 3, 4, 0, 3, 2, 2, 0, 0, 0, 1, 1, 0, 4, 2, 4, 3, 1, 3, 3, 0, 3, 3, 3, 3, 0, 2, 0, 1, 4, 3, 2, 4, 1, 4, 0, 1, 0, 0, 0, 2, 4, 3, 1, 1, 0, 4, 2, 0, 3, 4, 0, 3, 3, 2, 2, 3, 2, 2, 0, 2, 1, 2, 4, 2, 3, 0, 1, 4, 0, 4, 4, 3, 2, 4, 4, 2, 0, 1, 4, 0, 4, 3, 3, 1, 3, 1, 1, 4, 0, 4, 1, 0, 4, 1, 3, 1, 2, 3, 2, 4, 1, 2, 2, 3, 3, 3, 1, 0, 0, 0, 3, 3, 2, 2, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 1, 0, 3, 4, 3, 4, 0, 2, 1, 3, 2, 3, 2, 1, 3, 0, 2, 3, 0, 1, 4, 1, 2, 2, 1, 2, 2, 0, 2, 1, 4, 1, 4, 0, 0, 3, 2, 4, 4, 1, 1, 4, 4, 1, 0, 2, 1, 0, 4, 3, 0, 0, 2, 1, 2, 4, 1, 4, 3, 1, 2, 2, 4, 0, 3, 3, 0, 2, 0, 2, 1, 0, 1, 1, 2, 3, 1, 4, 4, 2, 0, 3, 1, 3, 3, 3, 1, 3] pubkeycol513 = [1, 2, 4, 2, 2, 1, 1, 4, 4, 2, 4, 0, 1, 1, 2, 0, 2, 4, 3, 0, 2, 0, 3, 3, 4, 2, 1, 4, 1, 1, 1, 0, 4, 4, 1, 2, 4, 4, 1, 3, 4, 0, 2, 3, 1, 4, 3, 4, 4, 2, 0, 4, 2, 4, 2, 2, 4, 4, 4, 4, 0, 0, 0, 1, 1, 0, 1, 4, 0, 3, 0, 2, 3, 3, 4, 2, 1, 3, 1, 2, 1, 4, 2, 0, 0, 1, 2, 4, 2, 1, 3, 1, 4, 2, 2, 2, 2, 1, 4, 3, 1, 3, 1, 3, 2, 1, 1, 1, 1, 4, 2, 1, 4, 3, 0, 1, 2, 0, 4, 0, 3, 2, 2, 2, 0, 4, 3, 3, 1, 0, 1, 4, 2, 1, 4, 3, 0, 3, 0, 2, 4, 1, 2, 1, 3, 0, 0, 3, 3, 3, 2, 4, 4, 1, 3, 0, 4, 0, 2, 0, 0, 1, 1, 2, 4, 1, 1, 0, 0, 4, 1, 3, 4, 4, 4, 4, 0, 0, 0, 3, 1, 2, 1, 2, 3, 3, 0, 4, 2, 1, 1, 0, 1, 3, 4, 3, 2, 3, 1, 0, 1, 4, 2, 2, 4, 0, 1, 0, 4, 3, 1, 3, 0, 3, 0, 4, 2, 4, 4, 2, 2, 4, 2, 2, 2, 3, 1, 4, 3, 4, 0, 4, 1, 2, 4, 2, 1, 1, 4, 4, 2, 4, 3, 2, 4, 0, 1, 1, 1, 2, 3, 1, 0, 1, 4, 3, 0, 2, 1, 3, 1, 2, 2, 0, 4, 3, 1, 2, 2, 2, 0, 0, 1, 0, 0, 4, 1, 1, 3, 1, 0, 3, 4, 1, 3, 4, 4, 3, 3, 1, 1, 3, 1, 0, 2, 2, 4, 4, 3, 3, 0, 4, 4, 0, 4, 1, 0, 4, 3, 4, 4, 3, 0, 0, 3, 4, 0, 3, 4, 0, 4, 4, 1, 4, 2, 3, 0, 4, 0, 0, 4, 0, 3, 3, 4, 0, 4, 3, 4, 2, 1, 4, 4, 4, 4, 1, 3, 2, 4, 3, 1, 0, 0, 3, 1, 2, 3, 1, 2, 0, 1, 2, 4, 3, 4, 0, 3, 4, 4, 1, 1, 4, 4, 2, 0, 2, 3, 2, 1, 3, 0, 3, 4, 4, 0, 4, 2, 0, 0, 1, 2, 1, 0, 4, 0, 3, 3, 3, 2, 1] pubkeycol514 = [3, 4, 1, 2, 4, 0, 0, 1, 2, 1, 2, 4, 0, 2, 2, 4, 0, 1, 0, 3, 1, 3, 2, 4, 2, 4, 1, 3, 2, 3, 4, 4, 0, 4, 1, 2, 2, 1, 3, 3, 0, 0, 3, 3, 4, 4, 1, 0, 0, 3, 4, 1, 1, 2, 2, 3, 0, 3, 2, 0, 3, 1, 0, 3, 4, 0, 3, 1, 2, 4, 0, 3, 3, 3, 0, 3, 1, 0, 1, 0, 3, 4, 1, 3, 4, 4, 3, 4, 3, 4, 4, 3, 2, 3, 4, 2, 1, 3, 2, 0, 1, 3, 1, 1, 0, 1, 1, 2, 1, 4, 0, 0, 0, 1, 4, 3, 4, 2, 2, 3, 1, 4, 3, 0, 2, 2, 2, 0, 4, 1, 3, 1, 4, 4, 2, 4, 3, 2, 4, 0, 0, 3, 4, 2, 4, 0, 0, 2, 1, 4, 1, 3, 4, 2, 2, 0, 0, 4, 1, 1, 1, 1, 1, 0, 1, 3, 0, 4, 3, 3, 2, 2, 0, 4, 3, 0, 3, 2, 0, 2, 3, 4, 0, 1, 0, 3, 4, 2, 3, 3, 4, 2, 1, 0, 4, 1, 3, 1, 3, 2, 4, 1, 2, 0, 4, 4, 3, 4, 2, 4, 0, 3, 2, 0, 0, 0, 4, 2, 4, 2, 0, 4, 4, 3, 2, 1, 0, 4, 1, 1, 0, 3, 3, 2, 2, 3, 2, 1, 1, 0, 1, 3, 1, 4, 1, 0, 4, 3, 4, 3, 0, 2, 2, 0, 2, 0, 2, 4, 3, 2, 4, 3, 4, 2, 0, 0, 1, 0, 3, 3, 2, 3, 3, 3, 2, 2, 4, 4, 3, 2, 3, 0, 4, 2, 1, 2, 1, 4, 2, 2, 4, 3, 2, 4, 3, 2, 0, 0, 3, 3, 2, 2, 4, 3, 4, 4, 0, 0, 2, 2, 3, 3, 1, 4, 4, 2, 3, 3, 2, 1, 3, 1, 4, 2, 1, 1, 4, 1, 3, 2, 3, 3, 4, 2, 3, 2, 4, 2, 3, 0, 0, 1, 4, 1, 3, 1, 0, 3, 0, 1, 0, 2, 3, 1, 3, 3, 4, 1, 0, 1, 3, 2, 1, 3, 1, 1, 2, 1, 2, 1, 0, 3, 3, 0, 0, 2, 4, 1, 3, 2, 1, 2, 3, 0, 2, 0, 4, 3, 3, 2, 4, 2, 1, 0, 1, 2, 1, 4, 2, 2] pubkeycol515 = [1, 3, 4, 2, 2, 1, 0, 3, 3, 0, 4, 1, 4, 0, 3, 3, 1, 3, 0, 3, 4, 0, 2, 4, 1, 4, 3, 3, 1, 0, 4, 2, 3, 0, 3, 3, 0, 2, 1, 4, 3, 2, 4, 4, 2, 1, 2, 4, 0, 3, 4, 0, 1, 3, 0, 0, 1, 0, 2, 2, 4, 3, 1, 3, 4, 0, 3, 3, 4, 1, 4, 0, 1, 4, 3, 1, 1, 3, 3, 0, 1, 2, 0, 4, 0, 2, 3, 3, 1, 3, 0, 2, 4, 1, 1, 4, 1, 2, 4, 1, 3, 4, 2, 4, 4, 4, 3, 0, 1, 3, 2, 0, 1, 1, 4, 2, 0, 3, 0, 4, 4, 3, 4, 4, 4, 1, 2, 3, 3, 4, 0, 0, 2, 1, 4, 1, 2, 3, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 3, 0, 1, 3, 3, 2, 3, 2, 4, 0, 3, 2, 0, 3, 4, 1, 1, 1, 1, 4, 0, 4, 0, 2, 1, 0, 2, 4, 0, 0, 2, 4, 3, 3, 3, 3, 0, 4, 4, 4, 4, 1, 1, 2, 0, 4, 3, 0, 3, 3, 4, 1, 0, 0, 3, 3, 1, 0, 3, 0, 2, 0, 4, 1, 1, 3, 4, 2, 3, 3, 0, 3, 2, 2, 1, 3, 3, 2, 3, 1, 4, 0, 3, 0, 4, 1, 3, 0, 0, 1, 4, 2, 4, 4, 3, 0, 4, 2, 0, 1, 4, 2, 2, 1, 4, 3, 3, 3, 2, 2, 2, 0, 3, 1, 2, 0, 3, 0, 3, 4, 2, 2, 3, 1, 1, 2, 3, 3, 0, 3, 2, 2, 3, 3, 1, 4, 1, 1, 4, 2, 1, 0, 2, 4, 4, 1, 4, 2, 4, 3, 4, 3, 4, 2, 4, 3, 1, 1, 3, 0, 4, 4, 2, 0, 0, 4, 0, 1, 4, 1, 3, 1, 4, 3, 0, 3, 1, 2, 0, 0, 3, 3, 3, 1, 4, 1, 2, 3, 1, 1, 3, 1, 3, 1, 1, 0, 0, 1, 4, 2, 3, 1, 0, 2, 4, 0, 1, 2, 3, 2, 1, 3, 1, 4, 0, 4, 0, 1, 2, 1, 0, 2, 0, 4, 4, 1, 1, 0, 2, 2, 1, 2, 3, 1, 1, 0, 2, 4, 4, 1, 2, 0, 1, 1, 4, 4, 0, 1, 0, 2, 4, 1] pubkeycol516 = [0, 1, 4, 4, 1, 0, 2, 4, 1, 3, 2, 1, 1, 1, 1, 1, 3, 0, 2, 1, 0, 3, 3, 4, 3, 2, 1, 2, 2, 3, 2, 2, 3, 2, 1, 4, 1, 3, 1, 3, 2, 2, 3, 0, 0, 0, 3, 4, 4, 0, 3, 2, 4, 1, 0, 1, 4, 3, 0, 1, 1, 1, 3, 3, 3, 3, 3, 2, 2, 2, 2, 0, 4, 3, 4, 1, 2, 4, 4, 2, 0, 2, 3, 4, 3, 0, 3, 1, 4, 4, 3, 2, 2, 3, 4, 3, 2, 3, 4, 1, 4, 0, 2, 0, 1, 0, 2, 1, 4, 1, 1, 2, 4, 3, 2, 3, 2, 4, 2, 3, 1, 0, 2, 1, 4, 3, 2, 4, 4, 4, 1, 0, 4, 2, 0, 4, 1, 2, 1, 0, 2, 2, 2, 0, 3, 4, 2, 1, 4, 1, 2, 2, 3, 3, 3, 0, 2, 0, 2, 1, 3, 1, 0, 0, 1, 1, 1, 1, 3, 1, 0, 4, 1, 1, 1, 2, 3, 4, 2, 2, 0, 0, 3, 4, 1, 3, 3, 4, 0, 4, 1, 4, 0, 4, 3, 4, 4, 4, 3, 1, 1, 2, 3, 1, 2, 1, 0, 4, 0, 2, 3, 4, 1, 1, 4, 1, 3, 1, 2, 2, 2, 2, 1, 3, 1, 3, 4, 4, 1, 0, 2, 2, 3, 3, 1, 2, 4, 2, 2, 1, 1, 1, 2, 3, 1, 3, 2, 0, 0, 0, 2, 1, 1, 0, 0, 3, 2, 0, 0, 3, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 1, 4, 1, 4, 3, 1, 4, 1, 1, 0, 0, 4, 0, 3, 1, 1, 1, 3, 1, 0, 3, 0, 4, 1, 0, 3, 4, 1, 2, 1, 3, 3, 1, 3, 1, 4, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 3, 3, 1, 0, 4, 2, 0, 2, 4, 4, 1, 2, 2, 2, 0, 2, 4, 0, 2, 3, 2, 1, 3, 2, 3, 3, 1, 0, 4, 2, 1, 3, 2, 1, 0, 2, 0, 1, 4, 3, 2, 3, 4, 2, 2, 4, 4, 3, 0, 3, 4, 3, 0, 2, 4, 2, 2, 0, 1, 1, 2, 3, 1, 4, 2, 1, 4, 2, 2, 3, 0, 2, 0, 0, 1, 3, 3, 1, 3, 2, 1, 4, 4] pubkeycol517 = [4, 1, 1, 4, 4, 1, 4, 1, 1, 1, 2, 0, 4, 1, 4, 3, 4, 0, 4, 0, 2, 1, 3, 0, 1, 0, 0, 1, 0, 4, 0, 1, 2, 4, 0, 1, 4, 0, 0, 3, 1, 4, 3, 1, 2, 0, 4, 3, 2, 4, 4, 0, 3, 3, 1, 2, 2, 3, 4, 4, 3, 4, 0, 3, 3, 2, 4, 2, 1, 0, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 4, 0, 3, 3, 2, 3, 0, 4, 4, 2, 2, 0, 0, 2, 2, 1, 4, 3, 1, 4, 4, 0, 0, 4, 1, 3, 2, 4, 1, 3, 2, 0, 0, 1, 3, 1, 1, 0, 0, 1, 4, 0, 2, 2, 4, 1, 0, 0, 4, 4, 0, 4, 0, 4, 1, 3, 0, 3, 3, 2, 0, 1, 0, 2, 3, 0, 4, 2, 2, 3, 2, 3, 1, 2, 3, 0, 1, 0, 4, 4, 2, 4, 0, 2, 1, 3, 4, 4, 0, 3, 4, 3, 3, 0, 0, 2, 2, 1, 1, 1, 2, 0, 4, 4, 2, 0, 3, 3, 1, 3, 2, 3, 0, 4, 1, 4, 1, 3, 2, 2, 2, 2, 1, 3, 1, 0, 3, 2, 3, 1, 4, 4, 1, 0, 0, 0, 4, 1, 2, 0, 4, 3, 1, 4, 2, 0, 1, 3, 2, 0, 4, 2, 3, 0, 3, 0, 0, 1, 3, 3, 2, 3, 1, 2, 4, 1, 3, 4, 3, 1, 0, 0, 1, 1, 0, 3, 3, 1, 3, 2, 2, 4, 2, 2, 3, 2, 2, 4, 1, 1, 3, 3, 1, 3, 2, 2, 2, 0, 1, 1, 4, 3, 3, 4, 1, 1, 4, 0, 3, 1, 1, 2, 3, 1, 0, 3, 4, 2, 1, 1, 3, 1, 0, 1, 0, 0, 3, 2, 0, 0, 3, 4, 0, 3, 2, 4, 0, 4, 0, 3, 2, 2, 2, 2, 4, 4, 4, 0, 1, 0, 0, 1, 2, 2, 4, 0, 0, 4, 4, 4, 0, 4, 3, 2, 1, 0, 3, 2, 2, 3, 2, 2, 0, 0, 3, 3, 0, 4, 2, 1, 0, 2, 2, 1, 1, 4, 4, 1, 4, 3, 3, 3, 0, 3, 2, 2, 2, 0, 3, 1, 2, 0, 1, 3, 2, 0, 1, 2, 1, 3, 3, 4, 4, 4, 3, 1, 1, 0, 2, 3] pubkeycol518 = [1, 3, 3, 1, 1, 4, 0, 2, 4, 3, 4, 2, 0, 3, 1, 4, 2, 1, 0, 2, 3, 4, 4, 1, 2, 4, 4, 0, 2, 2, 0, 2, 3, 4, 1, 0, 3, 1, 4, 4, 4, 0, 3, 2, 1, 0, 2, 4, 3, 4, 2, 1, 2, 2, 2, 3, 3, 4, 3, 1, 0, 3, 4, 2, 1, 3, 0, 0, 4, 1, 2, 0, 2, 4, 2, 4, 0, 2, 1, 0, 2, 1, 4, 0, 0, 3, 2, 4, 2, 3, 0, 2, 2, 3, 4, 0, 2, 2, 2, 1, 1, 3, 1, 4, 0, 0, 4, 2, 2, 2, 2, 0, 3, 0, 3, 3, 0, 0, 2, 0, 4, 0, 3, 4, 1, 0, 1, 0, 4, 1, 0, 0, 3, 4, 2, 0, 4, 1, 3, 3, 3, 0, 4, 4, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 4, 4, 0, 2, 3, 3, 0, 1, 1, 3, 0, 4, 1, 2, 0, 1, 3, 2, 2, 2, 0, 4, 1, 0, 2, 3, 4, 0, 2, 1, 3, 1, 0, 0, 3, 4, 0, 0, 2, 1, 2, 2, 3, 3, 3, 2, 1, 0, 3, 0, 3, 4, 4, 1, 0, 3, 1, 0, 0, 0, 0, 2, 4, 0, 1, 1, 3, 1, 4, 0, 4, 4, 0, 0, 1, 0, 0, 2, 4, 3, 4, 1, 4, 0, 4, 4, 2, 0, 1, 4, 0, 2, 3, 0, 2, 1, 4, 2, 4, 3, 3, 3, 0, 1, 4, 2, 4, 0, 3, 0, 3, 1, 2, 1, 0, 3, 2, 3, 0, 3, 3, 1, 4, 4, 4, 4, 1, 4, 2, 3, 1, 0, 3, 4, 3, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 4, 3, 3, 0, 4, 2, 4, 3, 2, 0, 0, 2, 0, 3, 0, 1, 4, 4, 4, 3, 2, 2, 3, 2, 3, 2, 2, 0, 0, 2, 4, 2, 2, 1, 0, 1, 0, 2, 3, 3, 1, 1, 1, 2, 1, 3, 4, 0, 2, 2, 1, 4, 4, 3, 2, 2, 0, 2, 2, 1, 3, 3, 2, 0, 3, 1, 2, 4, 0, 3, 2, 3, 4, 0, 2, 4, 0, 3, 4, 1, 4, 1, 0, 3, 2, 4, 0, 1, 3, 2, 0, 1, 0, 4, 4, 2, 0, 3, 0, 1] pubkeycol519 = [0, 2, 0, 4, 2, 1, 0, 4, 4, 0, 1, 2, 1, 3, 2, 4, 0, 2, 0, 0, 3, 4, 2, 1, 2, 4, 3, 2, 4, 1, 0, 4, 0, 3, 1, 3, 2, 3, 4, 3, 0, 4, 2, 3, 1, 4, 1, 4, 1, 3, 2, 3, 2, 3, 4, 2, 0, 3, 2, 2, 4, 1, 1, 3, 3, 0, 3, 2, 2, 3, 4, 4, 4, 4, 3, 2, 0, 4, 4, 0, 4, 3, 1, 0, 1, 2, 3, 2, 3, 3, 4, 0, 3, 1, 2, 3, 1, 4, 1, 1, 1, 1, 0, 1, 4, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 4, 1, 1, 1, 2, 1, 1, 3, 1, 4, 0, 2, 2, 2, 4, 4, 1, 4, 2, 2, 4, 0, 0, 1, 3, 4, 3, 2, 1, 3, 2, 1, 4, 1, 1, 0, 0, 1, 3, 3, 1, 1, 3, 0, 2, 1, 1, 1, 4, 1, 2, 3, 2, 0, 3, 4, 3, 0, 1, 4, 4, 1, 4, 4, 3, 4, 2, 0, 0, 4, 4, 4, 1, 2, 3, 3, 1, 1, 0, 0, 0, 3, 1, 1, 1, 2, 4, 0, 1, 4, 3, 0, 3, 3, 1, 1, 3, 4, 0, 1, 3, 1, 4, 2, 4, 1, 3, 1, 4, 2, 0, 0, 1, 1, 3, 1, 3, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 4, 2, 1, 4, 1, 0, 2, 4, 0, 0, 0, 3, 3, 2, 4, 4, 3, 3, 2, 1, 1, 2, 0, 2, 4, 1, 0, 3, 1, 4, 2, 4, 0, 2, 4, 0, 4, 3, 1, 2, 1, 2, 3, 0, 0, 1, 1, 1, 1, 3, 4, 0, 1, 2, 4, 1, 3, 0, 1, 4, 1, 3, 3, 4, 1, 1, 3, 0, 0, 2, 1, 2, 4, 1, 3, 4, 2, 3, 4, 1, 2, 3, 2, 3, 0, 1, 2, 0, 0, 4, 0, 2, 1, 4, 0, 0, 0, 2, 3, 1, 0, 1, 0, 4, 4, 2, 0, 1, 0, 0, 0, 0, 3, 1, 2, 1, 4, 3, 3, 4, 2, 2, 4, 0, 2, 4, 1, 1, 4, 0, 1, 0, 1, 3, 0, 0, 4, 3, 3, 2, 2, 0, 1, 4, 3, 2, 4, 0, 3, 3, 0, 3, 4, 4] pubkeycol520 = [1, 2, 0, 1, 0, 3, 3, 1, 1, 4, 1, 2, 2, 4, 1, 2, 3, 1, 1, 3, 3, 4, 2, 4, 0, 2, 4, 0, 0, 0, 1, 1, 1, 4, 2, 2, 2, 2, 3, 4, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 4, 3, 3, 1, 1, 3, 1, 1, 0, 2, 3, 2, 4, 0, 1, 2, 4, 3, 2, 4, 0, 0, 1, 3, 2, 3, 3, 4, 4, 0, 1, 1, 2, 0, 0, 4, 4, 2, 2, 0, 4, 1, 4, 2, 0, 2, 3, 3, 2, 2, 1, 4, 0, 4, 1, 4, 1, 3, 1, 0, 4, 1, 3, 1, 4, 0, 1, 2, 3, 0, 2, 3, 4, 0, 4, 1, 1, 3, 0, 1, 1, 3, 4, 0, 3, 3, 0, 3, 1, 2, 2, 1, 4, 0, 0, 4, 0, 1, 4, 4, 3, 2, 0, 2, 4, 4, 4, 4, 2, 2, 3, 4, 2, 3, 1, 3, 2, 3, 4, 0, 1, 4, 1, 3, 2, 0, 4, 1, 1, 0, 4, 4, 4, 4, 1, 1, 4, 0, 3, 1, 2, 4, 2, 3, 1, 3, 0, 0, 0, 1, 4, 2, 4, 4, 2, 3, 3, 2, 1, 3, 3, 2, 3, 4, 3, 3, 2, 4, 2, 4, 3, 3, 2, 1, 2, 1, 2, 1, 2, 0, 4, 0, 0, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 1, 4, 2, 1, 4, 0, 4, 0, 4, 0, 1, 3, 4, 2, 3, 2, 1, 1, 2, 1, 2, 2, 3, 2, 4, 3, 3, 1, 3, 3, 1, 2, 1, 1, 2, 3, 3, 3, 0, 4, 4, 4, 0, 0, 4, 2, 0, 0, 0, 1, 0, 0, 4, 0, 4, 4, 2, 0, 3, 2, 0, 2, 0, 1, 2, 1, 1, 4, 1, 2, 2, 1, 0, 2, 1, 2, 0, 4, 1, 4, 1, 2, 3, 1, 1, 3, 2, 3, 3, 0, 2, 3, 3, 2, 0, 4, 1, 0, 0, 0, 0, 1, 0, 0, 3, 1, 3, 0, 2, 3, 4, 2, 0, 0, 3, 0, 3, 2, 1, 4, 4, 1, 2, 3, 0, 0, 3, 1, 0, 1, 4, 4, 0, 4, 2, 4, 3, 4, 4, 3, 1, 3, 2, 1, 4, 4, 3, 4, 4, 1, 2, 0, 3, 3, 2] pubkeycol521 = [0, 3, 1, 1, 1, 0, 4, 3, 4, 1, 2, 0, 4, 2, 0, 3, 4, 1, 1, 3, 4, 3, 1, 1, 1, 0, 2, 4, 3, 0, 2, 2, 4, 0, 4, 1, 4, 0, 4, 0, 1, 2, 0, 4, 2, 2, 2, 1, 1, 4, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 2, 1, 2, 4, 0, 2, 2, 3, 0, 1, 3, 1, 1, 1, 3, 4, 4, 2, 0, 1, 0, 4, 3, 1, 0, 4, 0, 4, 1, 3, 3, 1, 1, 4, 3, 3, 2, 1, 1, 2, 1, 3, 2, 1, 0, 1, 2, 4, 1, 1, 2, 3, 0, 4, 0, 2, 2, 4, 2, 3, 1, 2, 3, 0, 2, 4, 2, 2, 2, 1, 3, 3, 4, 1, 0, 2, 1, 4, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 4, 3, 1, 3, 0, 3, 0, 2, 4, 1, 2, 1, 1, 0, 0, 1, 1, 1, 3, 2, 2, 2, 0, 2, 4, 4, 3, 0, 0, 3, 1, 0, 0, 4, 2, 4, 2, 0, 0, 3, 3, 1, 1, 0, 0, 4, 3, 1, 1, 3, 0, 0, 2, 1, 0, 0, 4, 0, 2, 0, 1, 0, 2, 2, 1, 3, 0, 2, 0, 2, 4, 0, 4, 0, 2, 2, 1, 2, 2, 1, 1, 4, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 4, 3, 0, 1, 0, 2, 0, 2, 2, 3, 3, 1, 3, 4, 4, 4, 2, 1, 4, 3, 4, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 0, 0, 4, 2, 4, 3, 0, 2, 4, 2, 3, 1, 0, 3, 4, 4, 2, 4, 2, 3, 3, 4, 2, 4, 4, 1, 2, 2, 3, 2, 4, 0, 0, 3, 3, 2, 2, 3, 1, 3, 3, 3, 3, 2, 2, 0, 2, 3, 2, 1, 4, 4, 1, 2, 3, 0, 0, 3, 2, 1, 3, 0, 0, 4, 0, 3, 4, 2, 0, 2, 2, 4, 3, 3, 1, 3, 0, 0, 1, 4, 2, 4, 0, 2, 0, 3, 3, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 2, 1, 1, 0, 1, 3, 1, 3, 2, 4, 1, 2, 0, 1, 1, 0, 4, 3, 1, 4, 0, 4, 4, 1, 4, 2, 1, 0, 4, 0, 4] pubkeycol522 = [3, 2, 1, 2, 1, 0, 1, 0, 3, 0, 1, 3, 1, 1, 0, 0, 0, 4, 3, 4, 1, 3, 0, 3, 1, 4, 4, 4, 0, 3, 2, 0, 0, 0, 3, 0, 3, 1, 2, 1, 1, 3, 3, 3, 0, 3, 1, 0, 3, 4, 0, 1, 2, 4, 1, 3, 1, 1, 4, 2, 0, 2, 0, 2, 0, 0, 2, 1, 3, 3, 2, 1, 1, 2, 0, 3, 3, 4, 4, 0, 4, 4, 1, 2, 3, 1, 4, 3, 3, 4, 3, 3, 4, 2, 0, 3, 1, 1, 2, 4, 2, 0, 0, 1, 1, 4, 1, 3, 4, 4, 1, 4, 3, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 3, 4, 4, 0, 3, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 1, 0, 2, 3, 3, 1, 4, 1, 0, 4, 1, 0, 4, 3, 0, 3, 3, 0, 4, 0, 2, 1, 1, 4, 2, 4, 3, 3, 1, 3, 1, 0, 2, 1, 1, 3, 4, 0, 0, 0, 0, 1, 2, 2, 2, 4, 0, 3, 0, 2, 2, 3, 0, 0, 4, 3, 2, 4, 3, 3, 3, 3, 0, 2, 2, 3, 1, 2, 4, 4, 2, 3, 0, 1, 4, 0, 0, 0, 2, 4, 1, 3, 2, 2, 0, 3, 0, 1, 0, 0, 3, 1, 4, 1, 0, 1, 1, 3, 4, 4, 2, 4, 0, 3, 3, 2, 1, 2, 1, 1, 4, 0, 0, 0, 2, 0, 0, 3, 2, 4, 2, 4, 4, 2, 1, 3, 0, 1, 2, 4, 0, 3, 0, 3, 2, 1, 2, 2, 1, 1, 4, 3, 0, 4, 1, 4, 4, 0, 3, 0, 0, 2, 3, 3, 0, 4, 0, 4, 2, 3, 2, 2, 1, 0, 0, 1, 2, 4, 0, 4, 1, 1, 3, 1, 4, 0, 4, 0, 4, 3, 1, 4, 4, 3, 1, 2, 3, 4, 0, 3, 3, 2, 1, 4, 0, 4, 3, 3, 1, 3, 0, 2, 4, 2, 2, 3, 1, 4, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 3, 0, 0, 2, 0, 2, 4, 4, 2, 0, 4, 4, 4, 4, 3, 1, 2, 0, 3, 4, 0, 0, 2, 0, 4, 1] pubkeycol523 = [0, 0, 2, 4, 3, 1, 1, 2, 2, 2, 4, 0, 4, 1, 0, 4, 2, 1, 3, 0, 2, 2, 4, 0, 0, 2, 1, 1, 4, 3, 2, 4, 3, 1, 3, 4, 4, 3, 2, 0, 3, 3, 2, 4, 0, 2, 2, 3, 2, 3, 3, 1, 2, 1, 2, 1, 2, 2, 3, 1, 4, 3, 2, 0, 1, 4, 2, 1, 3, 2, 0, 4, 2, 1, 0, 3, 2, 0, 1, 4, 0, 0, 3, 4, 0, 0, 3, 3, 0, 1, 2, 0, 2, 3, 0, 0, 2, 3, 4, 3, 2, 1, 1, 1, 3, 4, 1, 4, 3, 3, 1, 1, 4, 0, 3, 1, 2, 2, 4, 3, 4, 0, 4, 2, 0, 4, 0, 4, 0, 3, 3, 3, 1, 3, 3, 1, 0, 2, 1, 4, 3, 2, 2, 0, 0, 1, 2, 3, 4, 2, 2, 3, 2, 0, 3, 1, 0, 4, 3, 4, 4, 1, 3, 2, 0, 2, 1, 4, 0, 1, 3, 4, 4, 3, 4, 4, 3, 0, 4, 2, 0, 2, 4, 1, 2, 2, 0, 3, 2, 3, 0, 3, 2, 3, 2, 3, 0, 3, 0, 0, 3, 4, 3, 0, 0, 2, 2, 4, 1, 1, 0, 0, 2, 0, 3, 3, 0, 4, 2, 4, 4, 0, 4, 2, 4, 1, 4, 0, 2, 2, 1, 0, 3, 1, 2, 1, 1, 4, 2, 0, 1, 2, 1, 3, 3, 4, 0, 2, 3, 1, 0, 3, 2, 0, 4, 3, 2, 2, 1, 0, 2, 3, 1, 0, 2, 0, 3, 2, 1, 2, 1, 4, 1, 1, 3, 1, 0, 2, 4, 0, 1, 3, 0, 2, 2, 0, 1, 4, 0, 0, 4, 2, 3, 4, 0, 1, 4, 1, 4, 3, 0, 0, 3, 0, 2, 4, 3, 0, 3, 2, 1, 2, 0, 4, 3, 4, 2, 0, 1, 3, 3, 4, 2, 0, 2, 1, 4, 1, 1, 3, 0, 3, 1, 3, 3, 3, 3, 2, 4, 1, 1, 4, 2, 0, 0, 2, 0, 3, 3, 4, 0, 4, 0, 3, 3, 2, 1, 2, 3, 4, 2, 1, 2, 2, 4, 0, 2, 1, 2, 3, 1, 3, 2, 4, 3, 3, 2, 0, 4, 1, 2, 2, 3, 2, 3, 1, 2, 0, 1, 4, 3, 0, 3, 4, 3, 4, 1, 4, 0, 3] pubkeycol524 = [0, 4, 2, 2, 1, 0, 3, 2, 1, 1, 0, 2, 1, 0, 4, 0, 1, 2, 1, 0, 0, 1, 0, 4, 0, 2, 4, 2, 3, 0, 2, 4, 3, 3, 1, 0, 2, 4, 0, 2, 4, 3, 4, 1, 4, 3, 0, 2, 3, 2, 4, 1, 4, 2, 2, 4, 1, 2, 2, 4, 1, 3, 2, 4, 3, 2, 2, 3, 4, 2, 1, 1, 2, 0, 1, 3, 0, 1, 1, 4, 1, 1, 3, 2, 4, 4, 0, 4, 2, 0, 1, 2, 4, 3, 4, 3, 2, 2, 2, 0, 0, 1, 4, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 4, 4, 1, 0, 0, 1, 2, 1, 3, 1, 0, 1, 1, 4, 2, 1, 4, 4, 4, 0, 3, 0, 4, 4, 3, 3, 2, 3, 1, 2, 2, 0, 2, 2, 0, 3, 0, 4, 4, 2, 3, 2, 2, 2, 0, 3, 4, 0, 0, 4, 3, 3, 2, 2, 4, 2, 1, 4, 0, 3, 2, 1, 3, 3, 2, 0, 4, 4, 3, 2, 1, 3, 3, 2, 4, 2, 0, 2, 4, 4, 3, 1, 3, 3, 0, 3, 0, 2, 2, 4, 1, 2, 3, 2, 2, 0, 3, 3, 2, 4, 4, 3, 4, 2, 0, 0, 0, 3, 2, 3, 2, 1, 0, 4, 1, 1, 4, 3, 1, 4, 4, 0, 1, 2, 3, 1, 0, 4, 2, 4, 3, 2, 0, 3, 0, 0, 1, 1, 0, 1, 2, 0, 4, 2, 4, 2, 3, 1, 1, 1, 4, 4, 3, 0, 2, 1, 0, 4, 0, 1, 2, 0, 3, 4, 4, 2, 3, 0, 4, 3, 3, 0, 1, 2, 2, 3, 4, 3, 2, 1, 4, 1, 1, 0, 1, 1, 2, 3, 3, 0, 3, 0, 2, 4, 2, 2, 1, 3, 4, 3, 2, 2, 1, 4, 4, 4, 0, 4, 1, 3, 0, 3, 1, 1, 4, 2, 2, 0, 1, 3, 3, 4, 3, 0, 1, 3, 3, 2, 4, 3, 1, 0, 0, 2, 2, 2, 2, 0, 1, 4, 4, 2, 0, 2, 1, 3, 3, 1, 1, 1, 1, 4, 2, 3, 1, 4, 4, 2, 2, 2, 3, 1, 4, 1, 3, 0, 1, 4, 2, 3, 1, 1, 2, 1, 4, 3, 0, 0, 2, 1, 3, 4, 0, 2, 4, 1, 2] pubkeycol525 = [2, 1, 0, 4, 1, 4, 4, 0, 2, 4, 1, 2, 1, 2, 0, 3, 1, 0, 3, 0, 0, 3, 3, 4, 3, 4, 3, 0, 0, 4, 3, 4, 1, 0, 0, 2, 1, 1, 3, 4, 0, 1, 3, 2, 0, 1, 0, 3, 3, 2, 1, 2, 1, 0, 0, 3, 3, 2, 4, 2, 2, 0, 4, 3, 1, 0, 3, 0, 3, 0, 4, 1, 3, 1, 0, 0, 1, 2, 0, 3, 0, 0, 4, 3, 1, 1, 3, 4, 0, 1, 1, 4, 0, 2, 2, 4, 2, 3, 1, 4, 4, 1, 2, 0, 2, 3, 4, 1, 3, 1, 2, 3, 2, 4, 0, 1, 3, 2, 4, 4, 4, 2, 0, 0, 2, 2, 2, 0, 4, 0, 2, 4, 2, 3, 0, 3, 1, 4, 1, 4, 4, 2, 2, 3, 4, 0, 2, 0, 4, 1, 0, 1, 3, 2, 4, 3, 0, 3, 0, 3, 2, 4, 1, 2, 3, 0, 1, 0, 1, 2, 4, 4, 1, 4, 4, 1, 2, 0, 1, 0, 4, 4, 2, 1, 4, 4, 3, 4, 2, 2, 3, 4, 4, 4, 3, 1, 3, 3, 3, 3, 2, 4, 3, 2, 3, 0, 0, 4, 2, 3, 0, 2, 3, 4, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 3, 2, 4, 1, 0, 3, 0, 0, 3, 2, 3, 3, 1, 3, 1, 4, 2, 0, 0, 0, 0, 3, 3, 2, 2, 4, 4, 4, 2, 4, 2, 1, 3, 4, 2, 3, 1, 2, 2, 0, 1, 3, 4, 4, 2, 1, 0, 0, 3, 4, 1, 2, 3, 2, 4, 1, 2, 3, 0, 0, 4, 2, 1, 1, 3, 2, 3, 1, 0, 0, 4, 4, 3, 2, 1, 0, 2, 2, 3, 2, 3, 0, 4, 2, 0, 0, 4, 1, 1, 4, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 3, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 3, 4, 1, 3, 0, 1, 3, 2, 3, 2, 3, 0, 2, 0, 3, 1, 2, 1, 1, 1, 1, 3, 0, 0, 2, 2, 3, 0, 3, 0, 4, 0, 2, 0, 1, 0, 2, 4, 2, 1, 1, 4, 3, 2, 4, 0, 1, 1, 0, 1, 4, 1, 2, 4, 2, 0, 2, 4, 4, 4, 3] pubkeycol526 = [1, 3, 3, 1, 0, 1, 3, 1, 4, 0, 4, 2, 4, 4, 0, 4, 3, 4, 2, 3, 2, 1, 2, 2, 2, 4, 4, 4, 4, 3, 1, 4, 2, 4, 1, 0, 0, 4, 0, 0, 1, 0, 0, 1, 1, 1, 4, 1, 2, 0, 3, 4, 1, 0, 4, 1, 4, 4, 1, 0, 0, 3, 1, 2, 4, 2, 4, 0, 4, 1, 3, 3, 1, 1, 4, 2, 3, 2, 1, 0, 0, 0, 1, 0, 4, 3, 0, 1, 3, 2, 1, 0, 0, 2, 2, 3, 2, 2, 1, 2, 2, 0, 0, 4, 1, 1, 1, 4, 4, 3, 3, 2, 0, 3, 3, 4, 1, 3, 1, 4, 2, 2, 4, 2, 1, 0, 0, 2, 0, 3, 3, 0, 3, 1, 3, 3, 4, 2, 1, 1, 0, 4, 3, 0, 2, 2, 2, 0, 0, 2, 3, 4, 3, 1, 0, 3, 0, 2, 3, 4, 2, 1, 2, 0, 3, 4, 1, 0, 1, 4, 1, 4, 2, 0, 4, 3, 3, 1, 0, 2, 1, 2, 4, 2, 3, 2, 2, 3, 2, 4, 4, 3, 0, 0, 3, 0, 1, 3, 4, 2, 3, 1, 3, 2, 2, 3, 3, 0, 2, 3, 2, 0, 2, 1, 3, 2, 1, 3, 2, 4, 0, 0, 3, 1, 1, 2, 3, 2, 2, 1, 3, 1, 4, 1, 2, 2, 4, 1, 4, 1, 3, 3, 1, 3, 0, 0, 4, 1, 2, 1, 2, 2, 1, 3, 4, 4, 4, 4, 4, 2, 4, 3, 1, 1, 4, 1, 2, 3, 3, 0, 3, 2, 1, 2, 3, 1, 4, 4, 0, 4, 2, 4, 2, 1, 2, 4, 2, 0, 3, 2, 4, 4, 1, 0, 2, 4, 4, 0, 0, 1, 0, 2, 0, 3, 3, 3, 2, 2, 3, 2, 1, 2, 3, 0, 2, 4, 2, 0, 3, 4, 0, 0, 3, 0, 4, 0, 4, 0, 0, 3, 4, 0, 4, 4, 1, 2, 0, 1, 1, 0, 2, 0, 4, 0, 3, 3, 2, 0, 0, 1, 1, 2, 4, 1, 1, 3, 1, 0, 0, 1, 2, 2, 4, 3, 3, 3, 4, 3, 0, 1, 4, 0, 0, 1, 2, 4, 0, 1, 1, 3, 0, 1, 1, 1, 4, 4, 3, 3, 3, 3, 2, 4, 1, 1, 2, 2, 1, 3, 4, 3] pubkeycol527 = [4, 0, 4, 4, 1, 3, 1, 3, 3, 3, 0, 3, 1, 2, 4, 3, 4, 1, 1, 2, 1, 3, 1, 3, 4, 4, 2, 0, 2, 2, 2, 0, 2, 3, 3, 0, 4, 0, 2, 3, 3, 1, 4, 1, 3, 3, 2, 4, 2, 0, 0, 0, 0, 4, 2, 4, 1, 1, 2, 4, 2, 2, 1, 1, 3, 2, 1, 4, 4, 2, 0, 2, 0, 0, 0, 4, 2, 3, 3, 4, 4, 3, 1, 4, 4, 0, 4, 2, 1, 3, 4, 1, 4, 4, 4, 2, 0, 4, 4, 1, 0, 4, 4, 1, 0, 2, 4, 0, 4, 1, 3, 4, 4, 4, 4, 3, 3, 4, 2, 1, 3, 0, 1, 2, 3, 4, 2, 0, 0, 0, 1, 3, 2, 1, 4, 3, 3, 1, 3, 4, 2, 0, 1, 0, 0, 3, 2, 4, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 3, 3, 1, 2, 3, 3, 3, 1, 0, 4, 2, 0, 3, 2, 1, 4, 2, 0, 0, 2, 2, 4, 3, 3, 0, 3, 2, 4, 1, 3, 2, 3, 4, 4, 0, 2, 0, 1, 0, 4, 4, 2, 2, 3, 1, 2, 3, 2, 0, 0, 1, 3, 1, 2, 1, 2, 4, 2, 3, 2, 4, 2, 4, 3, 1, 1, 2, 4, 0, 4, 2, 1, 2, 3, 3, 4, 1, 4, 1, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 3, 0, 3, 4, 1, 4, 2, 2, 0, 3, 4, 0, 1, 1, 1, 4, 4, 2, 3, 3, 2, 4, 4, 4, 4, 4, 1, 4, 3, 2, 4, 1, 3, 2, 3, 2, 0, 0, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 3, 4, 3, 2, 1, 2, 1, 2, 2, 2, 0, 3, 2, 3, 3, 1, 2, 3, 2, 4, 4, 2, 3, 3, 1, 4, 0, 1, 4, 0, 1, 2, 2, 3, 0, 4, 3, 1, 3, 3, 4, 3, 2, 0, 1, 1, 0, 4, 0, 3, 2, 3, 3, 1, 4, 4, 0, 0, 3, 3, 1, 4, 3, 4, 0, 4, 1, 1, 3, 4, 1, 2, 3, 0, 3, 3, 0, 1, 2, 4, 3, 2, 3, 1, 0, 0, 3, 2, 3, 0, 1, 3, 4, 0, 2, 0] pubkeycol528 = [0, 4, 0, 1, 3, 2, 3, 0, 2, 2, 1, 4, 3, 4, 2, 0, 1, 0, 1, 0, 2, 4, 2, 1, 4, 0, 0, 4, 3, 1, 2, 1, 4, 1, 3, 2, 3, 0, 1, 3, 2, 2, 3, 2, 3, 2, 4, 0, 0, 2, 2, 0, 0, 1, 3, 3, 1, 3, 1, 0, 1, 0, 2, 4, 0, 4, 1, 2, 4, 4, 2, 3, 1, 3, 3, 1, 2, 2, 4, 4, 4, 2, 0, 3, 0, 4, 4, 2, 0, 1, 2, 3, 4, 1, 0, 1, 4, 1, 2, 0, 0, 2, 4, 4, 3, 1, 1, 0, 3, 0, 1, 0, 0, 2, 0, 4, 1, 1, 0, 1, 0, 2, 1, 0, 0, 4, 3, 0, 4, 4, 1, 4, 2, 4, 1, 4, 1, 4, 3, 3, 0, 3, 4, 3, 0, 2, 2, 4, 1, 3, 0, 0, 0, 4, 0, 1, 3, 4, 2, 0, 3, 2, 0, 3, 3, 0, 3, 1, 0, 1, 2, 3, 3, 1, 3, 0, 0, 2, 0, 4, 1, 2, 0, 0, 3, 4, 3, 2, 3, 1, 0, 4, 1, 3, 3, 4, 3, 4, 2, 4, 3, 3, 0, 4, 4, 3, 3, 1, 0, 3, 4, 3, 0, 3, 0, 4, 0, 4, 4, 1, 1, 4, 0, 3, 3, 1, 4, 3, 3, 3, 4, 0, 0, 1, 2, 1, 4, 0, 3, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 3, 2, 4, 2, 2, 3, 3, 0, 3, 4, 1, 1, 1, 4, 0, 0, 4, 1, 1, 1, 3, 0, 3, 4, 0, 4, 1, 0, 2, 0, 2, 2, 1, 1, 3, 4, 3, 2, 0, 0, 3, 1, 1, 0, 0, 2, 4, 1, 1, 4, 1, 4, 0, 1, 3, 0, 4, 0, 4, 4, 4, 1, 1, 3, 0, 4, 4, 3, 0, 1, 2, 3, 2, 3, 3, 3, 3, 0, 3, 3, 1, 2, 2, 3, 4, 3, 3, 4, 4, 1, 1, 0, 2, 3, 4, 1, 1, 0, 0, 0, 2, 0, 4, 4, 1, 3, 1, 4, 3, 3, 0, 1, 4, 1, 1, 2, 0, 4, 2, 1, 3, 2, 2, 3, 4, 1, 4, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 3, 1, 3, 2, 0, 0, 2, 0, 4, 3, 4, 4] pubkeycol529 = [4, 0, 0, 2, 0, 2, 1, 1, 2, 3, 2, 0, 4, 3, 1, 2, 1, 3, 1, 3, 0, 2, 1, 3, 1, 3, 4, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 4, 4, 2, 2, 0, 1, 2, 2, 4, 1, 3, 3, 3, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 4, 0, 2, 0, 4, 0, 0, 0, 2, 1, 2, 3, 1, 0, 0, 1, 0, 1, 2, 2, 3, 2, 4, 2, 0, 2, 1, 3, 0, 4, 4, 1, 3, 2, 0, 4, 3, 4, 3, 2, 0, 4, 0, 3, 3, 2, 2, 2, 3, 4, 4, 2, 3, 3, 4, 1, 3, 1, 4, 0, 1, 3, 0, 2, 4, 1, 3, 1, 0, 1, 1, 4, 4, 2, 4, 3, 4, 2, 4, 3, 3, 3, 2, 1, 4, 1, 2, 2, 0, 0, 2, 4, 2, 1, 0, 3, 3, 1, 1, 1, 4, 3, 0, 3, 4, 2, 4, 4, 4, 0, 3, 1, 4, 3, 3, 3, 3, 2, 0, 1, 1, 2, 1, 4, 1, 3, 1, 4, 2, 2, 1, 2, 0, 2, 2, 1, 0, 4, 2, 1, 0, 2, 0, 0, 1, 0, 4, 0, 4, 3, 0, 0, 0, 4, 0, 2, 4, 3, 3, 1, 3, 1, 0, 4, 4, 4, 4, 2, 0, 0, 2, 0, 2, 4, 2, 1, 2, 3, 0, 1, 1, 3, 0, 3, 3, 0, 2, 2, 2, 3, 3, 0, 4, 0, 0, 1, 2, 1, 1, 4, 1, 3, 0, 2, 0, 3, 2, 3, 0, 3, 0, 1, 4, 3, 1, 0, 2, 1, 0, 0, 3, 2, 3, 1, 1, 3, 1, 4, 3, 4, 0, 0, 2, 4, 4, 3, 1, 1, 2, 4, 0, 2, 3, 3, 0, 0, 4, 3, 2, 3, 2, 4, 4, 4, 3, 2, 0, 3, 1, 0, 2, 0, 3, 1, 3, 2, 0, 4, 2, 4, 3, 3, 3, 1, 3, 3, 2, 2, 0, 2, 0, 4, 0, 3, 4, 4, 4, 0, 3, 3, 0, 0, 1, 4, 0, 1, 1, 1, 1, 2, 3, 3, 0, 1, 2, 4, 2, 4, 0, 2, 4, 0, 4, 3, 0, 3, 1, 0, 3, 1, 4, 0, 1, 1, 4, 4, 1, 4, 2, 2, 3, 4, 4, 1, 2, 0, 1, 1, 1] pubkeycol530 = [2, 0, 4, 4, 4, 1, 2, 2, 4, 4, 1, 3, 1, 0, 3, 4, 1, 1, 1, 3, 4, 2, 3, 1, 0, 0, 1, 3, 3, 0, 4, 0, 2, 4, 2, 4, 0, 0, 0, 2, 2, 2, 0, 0, 1, 4, 3, 4, 4, 0, 3, 0, 3, 2, 4, 1, 3, 2, 3, 4, 1, 4, 4, 4, 4, 4, 3, 2, 2, 2, 3, 0, 3, 1, 4, 2, 3, 3, 3, 1, 0, 1, 0, 0, 0, 1, 2, 4, 3, 1, 1, 0, 2, 3, 3, 2, 4, 2, 4, 3, 4, 3, 0, 3, 4, 0, 1, 2, 3, 0, 3, 3, 1, 2, 3, 2, 2, 4, 0, 3, 4, 3, 2, 2, 1, 3, 3, 1, 4, 0, 1, 2, 1, 2, 4, 0, 4, 1, 1, 0, 0, 1, 0, 1, 4, 2, 4, 4, 0, 3, 3, 2, 4, 4, 1, 3, 4, 2, 0, 0, 3, 3, 2, 3, 2, 1, 2, 3, 0, 2, 2, 2, 0, 1, 2, 3, 2, 0, 1, 2, 4, 4, 2, 1, 3, 1, 2, 1, 4, 3, 1, 4, 4, 4, 0, 3, 2, 3, 3, 4, 1, 2, 3, 2, 0, 3, 3, 3, 2, 2, 3, 2, 1, 4, 2, 1, 3, 2, 3, 1, 0, 0, 2, 0, 2, 4, 1, 0, 2, 0, 4, 2, 1, 3, 4, 4, 3, 2, 4, 4, 4, 1, 2, 4, 1, 0, 2, 4, 2, 3, 2, 3, 1, 2, 0, 1, 1, 1, 0, 4, 3, 1, 2, 1, 1, 0, 0, 4, 1, 2, 1, 0, 3, 3, 3, 2, 3, 1, 3, 3, 3, 1, 4, 4, 2, 2, 2, 0, 1, 3, 4, 4, 0, 0, 0, 1, 2, 1, 2, 1, 4, 2, 4, 0, 1, 3, 2, 4, 3, 0, 4, 3, 2, 0, 2, 4, 1, 1, 1, 3, 4, 3, 2, 0, 3, 4, 3, 0, 0, 3, 4, 0, 3, 1, 3, 0, 2, 4, 4, 2, 3, 4, 3, 0, 4, 2, 4, 0, 1, 0, 2, 3, 3, 2, 1, 0, 1, 4, 1, 0, 0, 4, 4, 0, 1, 1, 1, 4, 3, 2, 4, 1, 0, 3, 3, 1, 4, 3, 3, 3, 2, 2, 0, 2, 2, 0, 2, 3, 1, 2, 4, 3, 3, 3, 3, 2, 3, 0, 2, 0] pubkeycol531 = [1, 3, 4, 1, 4, 2, 1, 3, 2, 1, 0, 4, 4, 1, 3, 2, 0, 3, 4, 0, 1, 3, 3, 4, 2, 2, 1, 3, 0, 4, 0, 2, 0, 1, 4, 1, 1, 1, 1, 0, 1, 0, 4, 1, 1, 3, 4, 1, 3, 0, 3, 3, 4, 4, 0, 2, 4, 3, 4, 2, 3, 4, 2, 0, 0, 1, 3, 4, 1, 1, 4, 1, 0, 0, 0, 2, 4, 3, 0, 4, 0, 2, 3, 4, 4, 4, 0, 0, 3, 4, 1, 2, 3, 0, 3, 1, 4, 1, 2, 3, 2, 2, 0, 4, 3, 0, 3, 1, 4, 2, 0, 2, 3, 4, 1, 1, 4, 2, 3, 1, 2, 1, 3, 2, 1, 0, 3, 1, 3, 0, 2, 1, 3, 1, 4, 3, 0, 0, 1, 2, 3, 1, 2, 3, 0, 1, 0, 2, 4, 3, 0, 1, 0, 3, 2, 3, 0, 2, 3, 4, 4, 3, 2, 0, 1, 4, 0, 1, 0, 4, 4, 1, 1, 3, 1, 1, 3, 1, 3, 4, 3, 0, 1, 4, 1, 4, 4, 2, 4, 1, 1, 4, 3, 0, 1, 1, 2, 2, 1, 3, 1, 2, 0, 3, 3, 2, 0, 0, 4, 0, 3, 3, 3, 1, 2, 0, 4, 3, 4, 0, 2, 2, 3, 0, 0, 4, 3, 2, 2, 1, 0, 3, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 4, 3, 0, 0, 1, 4, 3, 0, 2, 0, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 0, 3, 3, 2, 1, 1, 0, 2, 1, 4, 3, 1, 0, 4, 0, 3, 4, 0, 2, 3, 3, 2, 4, 2, 1, 1, 0, 2, 3, 0, 4, 4, 3, 1, 3, 2, 0, 2, 1, 3, 4, 0, 1, 2, 3, 1, 4, 4, 4, 1, 0, 2, 2, 0, 1, 1, 3, 4, 0, 1, 3, 1, 3, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 4, 0, 4, 4, 0, 1, 1, 0, 1, 3, 0, 1, 4, 0, 1, 2, 0, 4, 3, 3, 2, 3, 1, 1, 2, 4, 0, 1, 4, 3, 1, 4, 1, 1, 3, 4, 3, 4, 4, 1, 3, 1, 4, 3, 4, 1, 4, 3, 1, 0, 3, 2, 1, 0, 3, 1, 0, 1, 3, 0, 3, 3, 4] pubkeycol532 = [1, 2, 0, 4, 2, 0, 4, 4, 3, 1, 0, 3, 4, 3, 0, 3, 2, 3, 0, 3, 2, 2, 2, 2, 1, 0, 3, 2, 2, 3, 3, 1, 3, 3, 3, 1, 0, 3, 3, 4, 1, 4, 4, 3, 3, 4, 2, 3, 3, 0, 1, 0, 4, 4, 1, 3, 0, 1, 3, 0, 1, 0, 2, 2, 1, 0, 4, 4, 0, 4, 0, 1, 4, 0, 2, 0, 3, 0, 1, 4, 0, 1, 4, 0, 4, 4, 4, 1, 0, 0, 4, 1, 0, 0, 1, 1, 3, 2, 4, 4, 4, 1, 3, 4, 2, 2, 0, 2, 1, 3, 2, 3, 1, 3, 3, 2, 3, 0, 3, 4, 4, 1, 1, 1, 4, 1, 3, 3, 3, 3, 2, 2, 2, 4, 0, 0, 3, 4, 1, 2, 4, 1, 0, 2, 3, 3, 4, 3, 4, 4, 0, 0, 0, 0, 3, 2, 4, 3, 4, 0, 0, 1, 0, 4, 1, 3, 1, 2, 4, 2, 1, 2, 4, 1, 2, 0, 3, 2, 2, 4, 0, 3, 0, 3, 3, 0, 4, 1, 0, 0, 3, 4, 4, 4, 2, 1, 0, 3, 0, 1, 4, 0, 4, 1, 1, 3, 3, 2, 1, 2, 4, 1, 3, 0, 0, 4, 4, 1, 3, 0, 3, 3, 1, 4, 3, 2, 2, 2, 2, 3, 3, 0, 3, 2, 3, 4, 0, 4, 3, 0, 1, 0, 2, 4, 2, 3, 1, 2, 4, 4, 3, 0, 3, 4, 2, 3, 2, 4, 3, 2, 3, 3, 4, 2, 2, 3, 2, 3, 1, 3, 0, 4, 1, 1, 0, 1, 4, 2, 0, 3, 0, 4, 4, 1, 1, 2, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 4, 1, 4, 4, 2, 3, 4, 3, 3, 4, 4, 1, 0, 2, 2, 2, 3, 3, 2, 3, 1, 3, 0, 0, 4, 0, 3, 4, 3, 4, 0, 3, 0, 2, 2, 1, 2, 3, 0, 0, 2, 1, 2, 2, 4, 0, 4, 2, 2, 2, 3, 2, 1, 0, 4, 4, 0, 1, 0, 1, 3, 3, 0, 2, 1, 1, 2, 3, 4, 4, 3, 3, 1, 3, 2, 3, 3, 2, 2, 4, 3, 3, 2, 2, 0, 3, 3, 4, 3, 0, 3, 2, 3, 4, 4, 4, 4, 2, 0, 2, 2, 3, 0] pubkeycol533 = [4, 4, 1, 4, 3, 1, 2, 1, 1, 4, 1, 1, 3, 2, 4, 1, 4, 3, 4, 0, 0, 1, 4, 4, 2, 2, 0, 3, 0, 4, 1, 0, 4, 2, 4, 1, 4, 3, 1, 4, 4, 2, 3, 4, 3, 3, 0, 0, 3, 0, 4, 3, 1, 0, 4, 2, 4, 1, 4, 0, 3, 1, 4, 2, 3, 1, 0, 0, 4, 0, 3, 4, 3, 1, 3, 3, 3, 0, 4, 0, 3, 3, 2, 1, 0, 2, 4, 3, 2, 4, 2, 4, 4, 2, 3, 0, 1, 1, 3, 4, 1, 3, 2, 2, 3, 0, 3, 2, 1, 1, 4, 2, 0, 1, 4, 0, 0, 3, 2, 0, 2, 1, 3, 1, 2, 3, 1, 2, 3, 0, 1, 3, 1, 3, 1, 4, 1, 4, 2, 4, 3, 3, 0, 4, 2, 3, 2, 1, 2, 0, 3, 3, 2, 3, 3, 3, 0, 4, 3, 2, 0, 3, 1, 3, 0, 0, 4, 1, 3, 3, 0, 1, 1, 2, 3, 1, 2, 4, 3, 3, 3, 4, 2, 3, 1, 0, 4, 3, 3, 1, 2, 2, 0, 0, 3, 0, 0, 3, 3, 1, 3, 1, 2, 4, 1, 4, 4, 0, 3, 3, 4, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 3, 4, 2, 3, 2, 0, 3, 2, 2, 3, 1, 3, 2, 4, 2, 1, 0, 3, 2, 1, 1, 0, 2, 0, 2, 4, 1, 2, 1, 4, 3, 2, 3, 2, 4, 4, 2, 4, 0, 0, 0, 3, 4, 0, 3, 1, 3, 1, 1, 4, 3, 3, 2, 0, 2, 1, 1, 0, 3, 1, 2, 2, 0, 1, 3, 4, 4, 4, 0, 4, 2, 0, 2, 3, 0, 1, 0, 4, 1, 0, 1, 0, 4, 4, 1, 0, 4, 3, 4, 0, 0, 0, 3, 2, 2, 0, 2, 1, 3, 2, 1, 2, 2, 0, 1, 2, 3, 2, 4, 3, 4, 1, 4, 4, 4, 2, 4, 3, 2, 3, 1, 2, 2, 1, 4, 1, 1, 4, 3, 3, 0, 2, 2, 3, 0, 3, 3, 0, 1, 2, 0, 1, 4, 4, 1, 2, 2, 3, 0, 2, 2, 0, 0, 2, 0, 4, 0, 4, 0, 4, 4, 3, 4, 3, 4, 1, 4, 1, 4, 1, 4, 3, 4, 3, 1, 0, 4, 0, 1] pubkeycol534 = [2, 0, 1, 4, 4, 2, 4, 0, 4, 4, 2, 1, 4, 2, 1, 2, 1, 4, 3, 3, 0, 1, 3, 1, 0, 1, 4, 0, 2, 3, 4, 2, 1, 2, 0, 4, 0, 1, 0, 3, 4, 2, 3, 2, 4, 4, 4, 1, 1, 4, 2, 2, 3, 0, 2, 1, 2, 2, 2, 1, 2, 0, 4, 0, 1, 3, 4, 4, 0, 2, 2, 0, 3, 0, 3, 1, 1, 0, 2, 1, 2, 3, 1, 1, 1, 0, 2, 3, 2, 3, 3, 1, 0, 0, 3, 0, 2, 4, 1, 2, 3, 3, 1, 4, 3, 3, 0, 3, 0, 3, 3, 1, 2, 3, 3, 4, 1, 3, 0, 4, 1, 2, 0, 2, 1, 2, 4, 1, 2, 2, 2, 1, 2, 2, 1, 4, 4, 0, 4, 0, 3, 1, 3, 4, 4, 2, 1, 4, 0, 1, 3, 4, 0, 2, 0, 1, 1, 3, 0, 3, 4, 3, 3, 2, 2, 3, 1, 3, 2, 1, 4, 4, 2, 4, 1, 4, 2, 3, 2, 4, 0, 2, 0, 4, 0, 4, 2, 2, 4, 4, 2, 4, 3, 1, 1, 4, 2, 1, 3, 4, 2, 0, 3, 1, 2, 4, 4, 0, 0, 2, 4, 0, 4, 0, 0, 2, 3, 4, 2, 1, 1, 2, 0, 0, 3, 0, 1, 2, 0, 0, 3, 4, 0, 3, 2, 0, 1, 4, 4, 3, 3, 1, 1, 0, 3, 0, 1, 3, 0, 4, 4, 4, 2, 2, 3, 1, 3, 0, 4, 1, 1, 2, 1, 4, 1, 3, 1, 0, 4, 0, 1, 2, 0, 0, 0, 4, 0, 1, 1, 1, 1, 0, 4, 2, 3, 2, 0, 3, 3, 3, 2, 0, 1, 3, 3, 2, 3, 4, 1, 3, 3, 0, 2, 2, 2, 0, 1, 2, 4, 1, 3, 0, 3, 1, 3, 0, 0, 1, 4, 1, 0, 1, 2, 0, 2, 0, 4, 0, 1, 3, 0, 2, 0, 2, 4, 3, 2, 1, 1, 1, 2, 2, 3, 0, 1, 4, 2, 3, 4, 0, 3, 1, 1, 4, 1, 4, 4, 4, 3, 0, 1, 3, 1, 4, 1, 0, 2, 4, 2, 0, 1, 1, 4, 4, 3, 3, 1, 4, 3, 4, 2, 4, 2, 1, 1, 3, 3, 0, 0, 0, 1, 2, 0, 3, 0, 4, 4, 0, 0, 1] pubkeycol535 = [4, 3, 1, 1, 2, 0, 0, 0, 0, 3, 3, 0, 4, 2, 3, 0, 3, 0, 4, 2, 3, 2, 3, 2, 2, 0, 1, 1, 1, 4, 4, 3, 4, 0, 2, 3, 3, 3, 4, 4, 3, 3, 0, 3, 0, 4, 2, 1, 4, 3, 4, 3, 2, 0, 3, 3, 4, 0, 0, 3, 2, 0, 0, 4, 1, 1, 1, 2, 2, 2, 0, 4, 0, 4, 4, 1, 3, 4, 0, 1, 2, 3, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 3, 4, 2, 0, 4, 4, 4, 1, 4, 0, 0, 2, 2, 0, 0, 1, 1, 4, 0, 4, 1, 1, 0, 1, 0, 4, 0, 0, 0, 4, 4, 0, 1, 4, 4, 3, 3, 3, 1, 1, 0, 4, 1, 3, 1, 3, 2, 1, 3, 2, 4, 4, 2, 2, 4, 4, 4, 0, 3, 3, 1, 2, 2, 3, 2, 3, 1, 0, 3, 3, 3, 0, 3, 4, 2, 0, 2, 3, 2, 3, 1, 4, 3, 4, 2, 1, 1, 4, 3, 3, 4, 3, 1, 2, 1, 3, 0, 3, 2, 3, 4, 0, 1, 1, 0, 4, 0, 3, 1, 4, 3, 3, 1, 0, 3, 2, 4, 4, 2, 4, 0, 0, 2, 0, 1, 1, 3, 0, 3, 0, 0, 2, 4, 2, 3, 2, 0, 3, 2, 1, 0, 1, 2, 4, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 4, 0, 0, 2, 3, 4, 1, 4, 1, 0, 2, 2, 2, 3, 4, 0, 3, 2, 0, 2, 4, 0, 1, 0, 4, 3, 3, 0, 0, 1, 4, 3, 0, 4, 0, 4, 1, 1, 1, 4, 4, 3, 3, 4, 0, 2, 0, 3, 0, 3, 1, 4, 3, 1, 0, 4, 1, 1, 2, 2, 0, 0, 0, 2, 2, 3, 3, 4, 1, 2, 2, 4, 1, 2, 0, 4, 3, 1, 3, 4, 1, 3, 0, 0, 1, 4, 3, 3, 0, 2, 3, 3, 1, 4, 0, 1, 1, 1, 4, 4, 0, 2, 1, 2, 3, 1, 1, 3, 3, 3, 1, 0, 4, 1, 2, 4, 4, 2, 3, 0, 1, 3, 3, 2, 0, 1, 0, 4, 3, 2, 4, 1, 0, 0, 1, 2, 3, 0, 1, 2, 1, 3, 2, 2, 0, 1, 1, 0] pubkeycol536 = [2, 0, 3, 2, 4, 2, 0, 2, 2, 0, 4, 4, 4, 4, 3, 3, 0, 1, 4, 3, 1, 1, 3, 2, 2, 4, 2, 4, 1, 4, 1, 0, 1, 2, 4, 3, 4, 0, 1, 2, 0, 1, 4, 4, 2, 2, 4, 0, 2, 2, 2, 0, 4, 1, 4, 1, 1, 4, 0, 3, 1, 4, 1, 3, 4, 1, 2, 2, 4, 4, 3, 3, 1, 0, 2, 3, 1, 3, 3, 3, 3, 1, 4, 4, 4, 2, 0, 3, 2, 0, 0, 3, 0, 2, 0, 3, 2, 1, 4, 4, 4, 3, 4, 3, 1, 2, 3, 2, 4, 1, 4, 0, 4, 0, 1, 3, 2, 0, 2, 3, 1, 0, 4, 2, 4, 1, 4, 1, 3, 0, 3, 1, 2, 4, 2, 1, 4, 1, 4, 2, 0, 2, 1, 2, 1, 2, 0, 2, 4, 4, 0, 4, 2, 1, 1, 2, 4, 4, 0, 0, 4, 3, 0, 0, 2, 4, 1, 2, 4, 2, 3, 4, 4, 1, 0, 0, 4, 0, 4, 2, 3, 2, 3, 2, 0, 4, 3, 2, 4, 4, 0, 3, 3, 2, 3, 0, 2, 2, 1, 2, 0, 2, 1, 1, 3, 0, 4, 3, 0, 0, 3, 2, 1, 4, 1, 3, 4, 4, 3, 3, 0, 4, 1, 3, 1, 1, 3, 1, 3, 4, 1, 3, 0, 3, 1, 4, 0, 0, 3, 2, 2, 1, 1, 0, 2, 2, 4, 0, 4, 2, 2, 4, 4, 2, 1, 1, 4, 1, 0, 4, 0, 4, 4, 2, 2, 4, 2, 1, 3, 2, 4, 2, 1, 4, 0, 1, 0, 3, 2, 0, 0, 3, 1, 1, 1, 0, 3, 1, 2, 0, 3, 3, 1, 3, 1, 1, 4, 4, 1, 2, 1, 0, 3, 2, 1, 0, 1, 3, 2, 3, 1, 3, 4, 1, 1, 1, 3, 4, 3, 0, 3, 2, 2, 1, 4, 4, 4, 0, 0, 1, 2, 4, 1, 2, 4, 0, 1, 2, 0, 3, 4, 1, 4, 2, 0, 4, 1, 2, 4, 4, 2, 0, 1, 0, 4, 2, 0, 3, 2, 2, 2, 0, 0, 1, 1, 2, 0, 3, 3, 4, 2, 1, 0, 3, 1, 0, 4, 1, 4, 3, 4, 0, 3, 0, 3, 0, 4, 4, 3, 0, 0, 0, 0, 2, 1, 2, 1, 1, 4, 3] pubkeycol537 = [1, 2, 2, 4, 0, 0, 2, 0, 2, 4, 4, 4, 0, 3, 1, 1, 1, 2, 4, 1, 1, 3, 3, 4, 1, 4, 0, 4, 0, 0, 1, 0, 2, 2, 4, 1, 1, 0, 1, 4, 1, 2, 0, 0, 3, 2, 4, 2, 4, 2, 1, 4, 4, 2, 3, 3, 2, 2, 4, 1, 0, 3, 1, 4, 4, 4, 1, 1, 2, 3, 3, 0, 2, 1, 0, 4, 2, 4, 1, 4, 3, 1, 3, 3, 0, 3, 0, 4, 2, 1, 1, 4, 2, 0, 2, 4, 1, 4, 2, 4, 0, 4, 3, 1, 3, 3, 2, 1, 0, 4, 4, 0, 4, 4, 3, 3, 4, 3, 3, 2, 0, 2, 0, 1, 3, 4, 3, 4, 3, 1, 2, 1, 2, 4, 0, 1, 1, 2, 3, 2, 1, 0, 3, 4, 4, 2, 3, 3, 0, 3, 1, 0, 3, 2, 0, 3, 0, 3, 1, 0, 3, 4, 0, 3, 0, 2, 3, 3, 4, 1, 0, 4, 1, 2, 2, 0, 0, 4, 3, 4, 3, 4, 2, 1, 3, 0, 2, 4, 0, 0, 1, 2, 4, 3, 3, 3, 4, 1, 1, 4, 2, 0, 1, 4, 3, 1, 4, 1, 2, 4, 3, 1, 2, 2, 2, 0, 3, 0, 3, 2, 0, 1, 0, 1, 2, 3, 0, 1, 0, 2, 1, 4, 4, 0, 2, 1, 2, 2, 4, 1, 2, 0, 3, 3, 3, 2, 4, 1, 3, 2, 0, 3, 1, 1, 2, 0, 4, 3, 1, 0, 4, 4, 0, 3, 3, 2, 0, 3, 4, 0, 1, 0, 4, 0, 1, 3, 2, 2, 2, 1, 1, 3, 2, 3, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 4, 1, 2, 2, 3, 4, 4, 3, 3, 4, 4, 0, 3, 4, 4, 0, 1, 4, 2, 4, 0, 4, 3, 1, 2, 2, 3, 0, 0, 0, 1, 3, 4, 4, 1, 0, 4, 2, 1, 1, 0, 0, 1, 2, 1, 4, 4, 1, 0, 0, 3, 2, 3, 4, 4, 0, 4, 0, 0, 0, 3, 0, 3, 4, 3, 2, 2, 4, 1, 3, 0, 1, 4, 0, 2, 3, 2, 2, 4, 2, 3, 4, 2, 2, 3, 1, 3, 1, 2, 2, 0, 4, 2, 1, 1, 2, 4, 4, 0, 4, 0, 0, 4, 1, 1, 4] pubkeycol538 = [4, 2, 3, 2, 3, 3, 3, 0, 2, 4, 0, 1, 3, 2, 4, 0, 1, 3, 1, 4, 3, 4, 0, 4, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 4, 3, 2, 3, 3, 1, 4, 1, 1, 3, 2, 2, 1, 3, 4, 0, 3, 2, 4, 1, 4, 0, 0, 1, 2, 3, 0, 0, 3, 1, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 0, 4, 3, 3, 0, 3, 3, 4, 1, 0, 0, 0, 4, 2, 0, 2, 4, 2, 2, 0, 2, 1, 1, 0, 3, 4, 1, 0, 3, 0, 3, 1, 4, 1, 2, 2, 3, 2, 1, 4, 4, 4, 4, 3, 4, 2, 1, 4, 2, 4, 0, 4, 3, 2, 1, 2, 3, 2, 4, 1, 3, 1, 0, 0, 2, 0, 3, 3, 4, 3, 2, 1, 3, 1, 4, 0, 0, 3, 4, 0, 4, 0, 2, 3, 3, 1, 0, 3, 0, 2, 4, 1, 1, 1, 4, 1, 1, 3, 0, 2, 0, 3, 4, 4, 0, 2, 2, 1, 1, 4, 1, 0, 3, 3, 4, 0, 2, 1, 3, 4, 1, 4, 2, 1, 1, 4, 4, 2, 0, 2, 3, 1, 1, 3, 2, 2, 4, 4, 3, 1, 2, 4, 0, 1, 2, 1, 3, 0, 3, 2, 2, 2, 2, 2, 4, 4, 3, 2, 3, 1, 3, 4, 4, 4, 0, 3, 2, 4, 2, 3, 2, 0, 4, 4, 1, 4, 2, 1, 3, 3, 0, 4, 3, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 4, 1, 1, 0, 3, 4, 1, 1, 4, 3, 0, 3, 1, 4, 3, 0, 2, 0, 0, 3, 4, 3, 4, 1, 4, 4, 2, 4, 0, 1, 3, 4, 4, 3, 2, 3, 3, 4, 1, 2, 2, 2, 1, 3, 3, 2, 4, 2, 2, 2, 1, 4, 1, 4, 3, 3, 4, 2, 2, 1, 2, 1, 0, 4, 4, 4, 2, 3, 4, 0, 1, 1, 2, 1, 3, 2, 0, 4, 1, 2, 2, 4, 4, 2, 0, 4, 4, 0, 0, 1, 2, 1, 4, 0, 2, 0, 4, 1, 3, 4, 1, 3, 1, 2, 0, 2, 1, 0, 0, 0, 1, 4, 3, 1, 1, 2, 1, 2, 1, 4, 1, 2, 0, 2, 0, 0, 4, 3, 4] pubkeycol539 = [4, 0, 2, 0, 2, 2, 2, 3, 4, 4, 3, 2, 2, 4, 1, 2, 4, 3, 3, 4, 4, 3, 3, 4, 1, 0, 3, 0, 3, 3, 3, 2, 2, 3, 2, 2, 2, 4, 4, 4, 3, 3, 3, 4, 0, 3, 1, 3, 4, 0, 2, 2, 1, 4, 1, 2, 2, 4, 1, 0, 3, 2, 1, 3, 4, 4, 1, 2, 2, 4, 3, 2, 3, 0, 3, 2, 4, 2, 2, 3, 1, 1, 3, 0, 1, 4, 3, 4, 4, 4, 3, 0, 4, 3, 0, 2, 4, 0, 0, 3, 2, 0, 3, 3, 0, 3, 0, 0, 2, 3, 4, 0, 1, 4, 0, 1, 3, 2, 1, 1, 4, 1, 3, 1, 4, 1, 1, 0, 1, 0, 3, 0, 4, 1, 0, 3, 4, 1, 2, 2, 1, 4, 3, 2, 1, 0, 1, 3, 3, 4, 2, 4, 3, 1, 4, 1, 0, 4, 0, 3, 3, 1, 0, 4, 2, 0, 3, 0, 1, 1, 0, 0, 1, 3, 4, 3, 3, 1, 4, 2, 2, 2, 1, 2, 4, 3, 3, 1, 0, 4, 4, 3, 3, 1, 3, 2, 2, 2, 2, 4, 4, 0, 1, 3, 3, 4, 0, 4, 2, 4, 2, 0, 1, 2, 4, 4, 4, 3, 0, 2, 3, 4, 3, 3, 3, 0, 1, 0, 4, 2, 1, 4, 0, 0, 4, 1, 4, 3, 3, 0, 2, 4, 3, 1, 3, 0, 1, 2, 2, 0, 1, 4, 3, 4, 3, 0, 4, 0, 1, 0, 3, 2, 2, 4, 2, 4, 2, 1, 4, 1, 0, 3, 1, 1, 1, 2, 1, 2, 2, 0, 1, 4, 2, 0, 0, 3, 1, 1, 0, 1, 0, 2, 3, 3, 4, 4, 0, 3, 2, 4, 4, 2, 2, 4, 0, 4, 0, 4, 1, 1, 2, 4, 2, 0, 1, 3, 2, 1, 2, 0, 4, 2, 4, 0, 0, 2, 2, 1, 3, 4, 0, 0, 4, 3, 3, 2, 3, 2, 2, 1, 4, 0, 4, 2, 2, 0, 4, 0, 2, 1, 1, 3, 0, 4, 1, 0, 1, 2, 2, 0, 3, 4, 0, 4, 2, 2, 4, 0, 3, 0, 3, 3, 3, 3, 4, 2, 1, 2, 0, 4, 1, 1, 2, 1, 4, 3, 4, 0, 4, 0, 0, 1, 2, 1, 0, 1, 2, 3, 3, 0] pubkeycol540 = [3, 4, 1, 4, 1, 3, 0, 2, 4, 3, 4, 3, 4, 0, 1, 2, 4, 3, 1, 3, 2, 3, 2, 2, 2, 0, 3, 1, 2, 3, 1, 3, 0, 2, 0, 1, 3, 4, 2, 3, 3, 4, 1, 1, 0, 2, 1, 3, 4, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 4, 4, 1, 0, 1, 3, 0, 0, 1, 4, 3, 0, 0, 1, 1, 0, 2, 0, 1, 4, 4, 1, 1, 3, 3, 2, 1, 3, 2, 3, 2, 4, 1, 0, 1, 1, 2, 1, 2, 1, 4, 4, 3, 3, 1, 4, 1, 4, 4, 2, 2, 2, 0, 3, 1, 1, 0, 0, 0, 0, 2, 2, 3, 0, 1, 0, 3, 3, 4, 1, 4, 4, 4, 2, 2, 3, 3, 4, 1, 1, 0, 0, 1, 4, 1, 0, 1, 0, 4, 1, 1, 4, 4, 1, 4, 4, 1, 3, 0, 2, 4, 4, 2, 0, 3, 2, 4, 0, 4, 0, 1, 1, 0, 1, 4, 3, 0, 2, 4, 0, 2, 2, 0, 0, 2, 4, 3, 0, 3, 4, 0, 4, 4, 0, 4, 3, 3, 2, 1, 4, 1, 4, 2, 3, 1, 1, 4, 4, 3, 4, 4, 0, 3, 4, 2, 1, 2, 3, 3, 1, 1, 4, 3, 4, 2, 1, 2, 3, 1, 4, 0, 2, 4, 0, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 4, 2, 0, 0, 4, 1, 3, 4, 3, 2, 1, 0, 1, 1, 0, 0, 4, 0, 2, 3, 3, 0, 0, 3, 1, 0, 3, 0, 1, 0, 2, 1, 2, 0, 0, 3, 1, 1, 2, 4, 1, 4, 2, 4, 0, 0, 3, 1, 0, 3, 2, 0, 0, 4, 3, 3, 3, 1, 1, 4, 4, 1, 1, 4, 2, 3, 1, 3, 3, 3, 0, 2, 0, 1, 3, 2, 1, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 0, 0, 1, 2, 2, 4, 0, 2, 4, 3, 4, 4, 0, 3, 4, 1, 1, 4, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 3, 4, 3, 4, 3, 1, 4, 4, 2, 4, 3, 3, 4, 0, 2, 1, 3, 2, 1, 1, 2, 1, 0, 4, 2, 4, 2, 0, 0, 1, 1, 1, 1, 4, 1, 0, 4, 3, 2, 0] pubkeycol541 = [0, 4, 1, 1, 3, 3, 0, 4, 0, 4, 1, 3, 3, 2, 2, 0, 4, 2, 1, 2, 1, 0, 1, 3, 0, 3, 3, 3, 1, 2, 0, 4, 1, 3, 1, 1, 1, 1, 3, 1, 2, 3, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 4, 3, 3, 1, 1, 1, 1, 2, 4, 2, 4, 3, 0, 2, 0, 3, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 1, 1, 3, 0, 3, 2, 4, 2, 4, 0, 0, 3, 3, 3, 0, 1, 4, 1, 3, 4, 3, 0, 4, 0, 2, 0, 2, 3, 2, 3, 1, 4, 1, 3, 1, 0, 2, 0, 3, 2, 0, 0, 0, 2, 3, 2, 4, 1, 1, 3, 3, 0, 3, 2, 4, 3, 2, 2, 2, 1, 3, 3, 0, 1, 2, 3, 3, 0, 3, 4, 3, 4, 2, 0, 1, 0, 0, 0, 1, 3, 4, 2, 1, 2, 2, 0, 0, 2, 3, 3, 3, 0, 1, 1, 1, 4, 2, 0, 1, 2, 4, 1, 4, 0, 0, 1, 0, 1, 2, 1, 3, 2, 1, 4, 2, 4, 0, 0, 0, 0, 0, 2, 3, 3, 4, 4, 4, 0, 1, 3, 0, 0, 1, 0, 4, 0, 0, 3, 0, 4, 4, 0, 1, 4, 0, 2, 3, 4, 0, 0, 2, 3, 0, 4, 3, 3, 4, 3, 0, 4, 1, 2, 2, 2, 4, 1, 3, 3, 4, 0, 0, 2, 4, 0, 0, 4, 2, 4, 4, 2, 0, 4, 4, 1, 4, 1, 4, 1, 0, 1, 3, 4, 3, 2, 0, 3, 3, 4, 3, 2, 0, 1, 0, 4, 2, 4, 1, 4, 1, 2, 4, 0, 4, 1, 1, 2, 2, 0, 4, 4, 1, 1, 2, 0, 0, 2, 1, 2, 3, 1, 0, 2, 2, 1, 0, 1, 3, 4, 4, 3, 1, 3, 2, 0, 0, 3, 0, 3, 2, 2, 1, 0, 2, 0, 1, 4, 0, 2, 2, 0, 2, 3, 2, 2, 3, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 4, 4, 4, 3, 1, 3, 4, 1, 0, 1, 0, 0, 1, 4, 4, 4, 4, 1, 1, 0, 0, 2, 4, 0, 3, 1, 4, 4, 1, 2, 1, 4, 1, 4, 0, 3, 3, 1, 4, 1, 4, 0, 2, 1, 4, 4, 1] pubkeycol542 = [3, 1, 3, 0, 2, 4, 0, 0, 2, 0, 1, 4, 1, 0, 2, 1, 2, 2, 0, 3, 4, 1, 3, 2, 3, 2, 4, 1, 2, 2, 3, 4, 2, 4, 1, 2, 4, 1, 1, 1, 2, 4, 0, 3, 0, 0, 4, 0, 2, 3, 2, 3, 4, 2, 4, 1, 3, 0, 2, 4, 4, 1, 1, 4, 0, 3, 0, 4, 3, 1, 4, 3, 1, 3, 2, 2, 0, 2, 4, 2, 3, 4, 0, 0, 2, 2, 4, 2, 3, 3, 1, 4, 0, 2, 0, 1, 4, 1, 2, 4, 1, 3, 1, 3, 4, 0, 3, 4, 3, 0, 2, 1, 0, 2, 3, 3, 0, 4, 0, 4, 3, 0, 3, 4, 1, 1, 1, 0, 2, 0, 4, 4, 4, 2, 4, 3, 4, 4, 1, 0, 1, 3, 2, 2, 1, 4, 2, 2, 2, 2, 2, 1, 1, 3, 3, 0, 3, 2, 1, 2, 4, 2, 1, 0, 4, 1, 2, 1, 1, 2, 3, 0, 1, 3, 2, 3, 2, 0, 0, 3, 4, 1, 2, 0, 4, 1, 4, 4, 4, 1, 0, 2, 3, 0, 2, 2, 2, 2, 4, 3, 4, 2, 3, 3, 0, 3, 2, 0, 2, 4, 0, 0, 4, 2, 0, 4, 4, 0, 0, 0, 4, 1, 1, 2, 3, 3, 2, 4, 4, 1, 1, 1, 4, 0, 2, 3, 0, 1, 3, 0, 0, 1, 1, 4, 1, 4, 2, 1, 3, 3, 0, 4, 0, 4, 2, 3, 1, 4, 1, 2, 4, 2, 3, 0, 1, 4, 2, 0, 3, 2, 0, 2, 0, 2, 3, 1, 0, 0, 1, 4, 2, 4, 2, 3, 4, 4, 2, 2, 1, 0, 4, 3, 1, 4, 4, 3, 4, 1, 1, 1, 4, 1, 4, 1, 0, 4, 1, 3, 2, 1, 0, 3, 2, 2, 4, 2, 1, 2, 0, 2, 2, 2, 4, 4, 0, 1, 3, 1, 3, 4, 3, 0, 0, 0, 2, 0, 1, 3, 4, 0, 4, 3, 4, 1, 3, 0, 4, 3, 3, 2, 3, 4, 4, 1, 0, 4, 4, 3, 1, 1, 1, 4, 4, 3, 3, 1, 0, 4, 4, 3, 1, 1, 3, 2, 3, 0, 4, 0, 0, 2, 4, 0, 3, 0, 2, 1, 2, 4, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol543 = [2, 0, 0, 1, 3, 0, 4, 4, 1, 1, 2, 2, 2, 1, 4, 3, 1, 1, 0, 0, 1, 4, 3, 4, 0, 4, 1, 1, 3, 2, 0, 4, 0, 2, 1, 2, 3, 1, 2, 1, 1, 2, 1, 3, 2, 2, 1, 4, 0, 3, 4, 2, 1, 4, 0, 3, 3, 1, 1, 2, 4, 1, 1, 1, 0, 2, 2, 4, 0, 3, 2, 1, 2, 3, 0, 0, 4, 1, 1, 4, 1, 2, 4, 0, 4, 1, 4, 0, 3, 4, 2, 3, 0, 1, 0, 0, 3, 4, 2, 0, 4, 0, 3, 0, 4, 3, 0, 3, 0, 1, 0, 0, 0, 2, 3, 2, 1, 0, 1, 4, 4, 1, 3, 3, 2, 2, 3, 2, 3, 4, 0, 2, 4, 4, 4, 0, 1, 4, 1, 3, 0, 0, 2, 2, 2, 3, 3, 3, 4, 4, 1, 1, 2, 2, 4, 2, 0, 2, 0, 3, 2, 3, 1, 3, 3, 1, 2, 0, 3, 3, 0, 1, 0, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 3, 2, 4, 0, 1, 4, 4, 0, 4, 0, 0, 3, 0, 1, 0, 0, 3, 0, 4, 0, 3, 0, 1, 0, 3, 1, 0, 0, 0, 3, 3, 2, 1, 1, 4, 2, 0, 3, 4, 0, 1, 0, 2, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 4, 4, 1, 3, 2, 1, 1, 1, 1, 4, 1, 3, 1, 4, 1, 4, 0, 4, 1, 3, 4, 1, 3, 2, 2, 4, 4, 3, 1, 4, 3, 4, 3, 0, 4, 2, 4, 2, 0, 3, 4, 1, 4, 4, 1, 1, 2, 4, 0, 2, 3, 0, 4, 3, 3, 2, 1, 3, 0, 3, 3, 1, 3, 0, 0, 2, 2, 3, 3, 3, 4, 4, 3, 4, 1, 2, 4, 3, 3, 3, 3, 0, 2, 0, 4, 1, 4, 2, 1, 0, 2, 2, 4, 4, 2, 2, 3, 4, 3, 4, 3, 4, 4, 1, 4, 1, 3, 4, 3, 3, 3, 2, 1, 0, 2, 0, 0, 1, 3, 1, 2, 0, 4, 4, 1, 2, 4, 3, 3, 3, 1, 4, 4, 0, 0, 3, 3, 3, 3, 0, 1, 0, 4, 0, 0, 2, 3, 2, 0, 0, 3, 4, 0, 3, 0, 4, 1, 1, 1, 4, 0, 4, 4, 0] pubkeycol544 = [0, 3, 2, 2, 3, 0, 3, 1, 1, 3, 4, 0, 0, 3, 2, 2, 3, 2, 1, 0, 4, 2, 4, 0, 3, 4, 1, 0, 4, 0, 4, 2, 0, 2, 2, 0, 2, 0, 3, 0, 2, 1, 3, 2, 0, 1, 3, 2, 1, 2, 1, 0, 2, 3, 3, 0, 1, 4, 0, 2, 3, 0, 2, 0, 0, 1, 2, 3, 3, 1, 3, 1, 2, 0, 4, 1, 1, 3, 4, 0, 2, 3, 4, 2, 3, 2, 0, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 4, 0, 3, 1, 4, 1, 3, 0, 1, 0, 1, 1, 4, 0, 2, 1, 3, 4, 0, 3, 0, 1, 1, 0, 0, 2, 0, 0, 4, 3, 0, 3, 0, 4, 4, 0, 1, 2, 3, 4, 2, 0, 0, 3, 4, 0, 2, 0, 1, 4, 3, 4, 3, 1, 0, 4, 2, 0, 1, 2, 3, 4, 4, 2, 1, 3, 1, 1, 1, 3, 2, 3, 1, 1, 4, 1, 1, 2, 0, 3, 2, 1, 4, 1, 1, 4, 4, 3, 3, 1, 2, 4, 1, 3, 4, 3, 4, 3, 4, 0, 3, 2, 3, 3, 1, 4, 0, 1, 4, 4, 1, 2, 3, 2, 0, 4, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 3, 4, 4, 4, 1, 3, 2, 1, 3, 1, 0, 3, 4, 1, 4, 4, 3, 4, 1, 1, 1, 3, 0, 3, 1, 2, 1, 1, 2, 1, 0, 4, 1, 2, 3, 2, 0, 3, 0, 0, 3, 4, 4, 4, 4, 3, 3, 4, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 3, 1, 2, 0, 4, 1, 4, 0, 0, 2, 1, 3, 3, 2, 0, 4, 2, 3, 0, 1, 4, 4, 2, 4, 1, 2, 0, 4, 4, 0, 1, 2, 1, 1, 2, 0, 3, 2, 0, 1, 0, 3, 4, 3, 0, 4, 0, 4, 0, 2, 0, 0, 4, 2, 0, 3, 3, 2, 3, 0, 2, 3, 2, 0, 4, 3, 2, 2, 4, 0, 2, 2, 3, 3, 3, 3, 2, 1, 4, 0, 3, 2, 0, 3, 2, 3, 2, 0, 2, 4, 2, 4, 0, 3, 1, 0, 1, 4, 4, 1, 4, 1, 4, 4, 2, 1, 0, 0, 1, 0, 4, 0, 0, 4, 2, 3, 2, 1, 3] pubkeycol545 = [1, 0, 4, 0, 1, 2, 3, 4, 0, 0, 4, 1, 0, 2, 4, 0, 0, 4, 1, 1, 4, 4, 2, 1, 3, 3, 1, 0, 0, 2, 4, 0, 3, 0, 0, 0, 1, 0, 1, 3, 0, 2, 3, 1, 1, 3, 3, 4, 4, 3, 2, 3, 0, 2, 1, 2, 3, 0, 0, 3, 1, 2, 4, 0, 2, 1, 3, 2, 2, 3, 1, 3, 4, 3, 0, 0, 1, 2, 2, 4, 1, 0, 3, 3, 4, 0, 2, 1, 1, 4, 4, 1, 1, 1, 4, 1, 3, 4, 3, 0, 2, 3, 4, 4, 3, 1, 4, 4, 1, 0, 4, 3, 0, 3, 4, 1, 2, 1, 4, 0, 2, 1, 2, 3, 2, 3, 4, 2, 2, 1, 1, 0, 0, 2, 1, 4, 0, 2, 0, 1, 4, 2, 4, 1, 1, 3, 0, 4, 0, 4, 0, 4, 1, 4, 2, 4, 1, 2, 0, 0, 0, 2, 2, 4, 2, 0, 0, 2, 3, 2, 3, 3, 0, 1, 1, 3, 0, 3, 4, 4, 0, 4, 4, 4, 2, 2, 0, 3, 3, 0, 0, 1, 1, 2, 1, 1, 0, 4, 0, 2, 4, 2, 4, 4, 1, 2, 4, 4, 2, 4, 1, 1, 3, 4, 1, 2, 2, 0, 3, 0, 1, 2, 3, 0, 1, 2, 0, 4, 3, 1, 4, 4, 4, 3, 0, 4, 3, 1, 2, 0, 3, 3, 0, 3, 3, 1, 2, 0, 3, 2, 3, 3, 3, 4, 4, 3, 4, 1, 2, 0, 4, 2, 2, 0, 0, 1, 4, 0, 4, 4, 0, 4, 1, 0, 3, 1, 4, 4, 4, 0, 4, 0, 4, 1, 1, 2, 4, 1, 2, 4, 0, 4, 3, 2, 0, 1, 1, 1, 4, 3, 2, 0, 1, 4, 3, 0, 2, 2, 3, 4, 0, 0, 4, 3, 4, 0, 3, 2, 3, 3, 2, 3, 3, 1, 4, 1, 3, 2, 2, 1, 0, 0, 2, 1, 1, 3, 0, 1, 4, 1, 1, 4, 1, 3, 1, 2, 3, 0, 3, 4, 0, 0, 4, 4, 1, 4, 1, 2, 4, 2, 4, 0, 0, 1, 2, 0, 4, 4, 0, 4, 2, 4, 0, 2, 4, 1, 0, 0, 1, 3, 3, 1, 4, 2, 0, 2, 0, 2, 0, 0, 3, 4, 1, 1, 4, 4, 4, 1, 0, 3] pubkeycol546 = [1, 4, 4, 3, 0, 2, 2, 4, 3, 4, 3, 1, 0, 4, 4, 2, 2, 4, 2, 0, 4, 3, 3, 3, 3, 0, 4, 4, 1, 0, 4, 3, 2, 0, 4, 0, 3, 2, 0, 2, 4, 1, 3, 2, 3, 4, 3, 3, 0, 4, 1, 1, 1, 4, 1, 0, 0, 0, 2, 0, 2, 1, 0, 4, 3, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 4, 0, 2, 1, 0, 3, 0, 3, 3, 1, 1, 3, 0, 2, 3, 4, 2, 2, 4, 2, 4, 4, 4, 3, 1, 3, 0, 0, 3, 1, 0, 0, 2, 4, 2, 4, 3, 2, 4, 4, 4, 3, 2, 0, 4, 0, 4, 3, 2, 3, 4, 4, 4, 3, 3, 3, 0, 0, 2, 1, 0, 3, 3, 3, 2, 2, 2, 3, 2, 0, 2, 4, 2, 4, 2, 3, 4, 1, 4, 1, 2, 2, 3, 0, 2, 0, 0, 1, 2, 3, 1, 3, 2, 3, 3, 0, 0, 4, 3, 0, 3, 0, 1, 1, 0, 4, 2, 4, 2, 1, 2, 1, 4, 4, 3, 2, 3, 1, 4, 2, 3, 3, 1, 4, 3, 4, 3, 3, 3, 4, 3, 0, 0, 4, 1, 0, 1, 2, 2, 1, 2, 1, 3, 3, 3, 2, 4, 4, 0, 2, 3, 3, 1, 1, 3, 3, 0, 4, 0, 0, 3, 1, 1, 1, 2, 1, 4, 4, 0, 4, 2, 2, 3, 2, 3, 1, 4, 1, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 4, 2, 2, 1, 2, 4, 0, 1, 2, 0, 1, 2, 2, 4, 4, 0, 3, 4, 4, 2, 1, 3, 2, 2, 0, 4, 3, 0, 3, 2, 4, 4, 0, 0, 0, 1, 3, 4, 4, 2, 2, 1, 3, 0, 0, 3, 3, 4, 3, 0, 0, 3, 2, 4, 2, 3, 2, 4, 4, 4, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 4, 2, 0, 3, 2, 2, 1, 3, 4, 3, 3, 1, 3, 0, 0, 1, 2, 0, 1, 3, 2, 2, 0, 2, 4, 4, 0, 1, 0, 0, 4, 3, 2, 4, 1, 4, 4, 0, 1, 2, 3, 0, 0, 3, 1, 1, 0, 2, 0, 3, 4, 3, 2, 1, 4, 4, 0, 3, 4, 4, 0, 1, 4, 0, 0] pubkeycol547 = [4, 1, 4, 3, 2, 4, 3, 2, 1, 4, 1, 0, 3, 4, 3, 0, 2, 1, 1, 0, 4, 0, 1, 2, 4, 0, 1, 4, 3, 1, 3, 1, 3, 2, 4, 0, 2, 3, 4, 3, 2, 1, 1, 3, 2, 1, 4, 3, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 3, 3, 1, 3, 3, 4, 1, 4, 3, 3, 4, 3, 4, 0, 0, 0, 3, 4, 3, 4, 1, 3, 0, 0, 3, 4, 2, 3, 3, 0, 0, 1, 1, 2, 4, 0, 0, 0, 3, 2, 4, 1, 1, 2, 4, 4, 0, 1, 0, 0, 4, 2, 0, 4, 1, 4, 2, 4, 4, 1, 1, 2, 0, 0, 4, 0, 0, 3, 1, 4, 0, 1, 4, 4, 4, 4, 0, 3, 2, 0, 1, 0, 1, 4, 0, 1, 1, 0, 0, 3, 0, 3, 3, 3, 3, 3, 2, 4, 2, 4, 2, 1, 2, 1, 0, 3, 3, 3, 2, 1, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 0, 2, 2, 3, 0, 4, 4, 1, 0, 0, 3, 0, 3, 3, 2, 0, 4, 3, 2, 2, 0, 2, 2, 3, 0, 4, 3, 0, 4, 0, 3, 3, 0, 3, 3, 2, 4, 2, 3, 0, 4, 2, 1, 0, 2, 1, 3, 2, 0, 1, 3, 1, 4, 3, 0, 4, 3, 1, 3, 2, 1, 4, 1, 4, 1, 1, 3, 2, 0, 0, 2, 0, 0, 4, 1, 1, 2, 0, 3, 4, 2, 1, 2, 2, 4, 4, 3, 1, 2, 3, 0, 4, 2, 1, 4, 0, 1, 3, 4, 1, 3, 1, 3, 1, 0, 4, 1, 4, 1, 2, 2, 2, 1, 3, 3, 1, 4, 1, 1, 3, 3, 1, 4, 3, 0, 0, 0, 3, 2, 3, 1, 0, 3, 0, 2, 1, 3, 0, 2, 3, 3, 4, 2, 0, 0, 4, 1, 2, 4, 1, 4, 3, 4, 3, 1, 0, 1, 0, 2, 1, 1, 1, 1, 3, 0, 0, 2, 3, 3, 4, 0, 1, 0, 3, 1, 1, 2, 3, 1, 0, 0, 2, 3, 3, 1, 1, 0, 3, 1, 1, 2, 2, 2, 1, 0, 2, 2, 3, 2, 0, 3, 4, 2, 4, 4, 0, 0, 0, 4, 1, 3, 4, 0, 0, 0, 2, 3, 0, 2, 1, 3] pubkeycol548 = [3, 0, 3, 4, 3, 4, 0, 3, 0, 2, 1, 1, 0, 0, 4, 1, 3, 3, 0, 4, 0, 3, 0, 0, 3, 3, 0, 1, 4, 1, 4, 0, 2, 4, 4, 3, 2, 3, 1, 0, 4, 1, 2, 1, 1, 1, 4, 1, 2, 4, 4, 2, 1, 0, 0, 3, 4, 3, 4, 0, 2, 3, 0, 3, 3, 1, 3, 2, 3, 3, 0, 4, 0, 1, 0, 1, 1, 3, 2, 4, 0, 4, 1, 4, 4, 4, 2, 4, 1, 3, 3, 1, 4, 2, 4, 2, 1, 2, 0, 0, 4, 2, 1, 3, 3, 0, 4, 2, 2, 2, 2, 3, 0, 3, 2, 3, 3, 2, 0, 3, 0, 1, 0, 2, 2, 2, 2, 2, 4, 0, 2, 4, 3, 2, 1, 1, 4, 2, 0, 1, 1, 0, 0, 2, 4, 2, 2, 4, 0, 0, 1, 0, 4, 2, 4, 0, 2, 2, 1, 1, 3, 3, 3, 2, 4, 4, 0, 3, 1, 2, 1, 3, 2, 3, 2, 0, 1, 4, 2, 3, 4, 1, 0, 3, 4, 0, 4, 1, 0, 0, 3, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 4, 3, 1, 2, 3, 1, 4, 4, 2, 3, 4, 0, 0, 1, 2, 4, 0, 0, 1, 4, 0, 3, 2, 3, 4, 4, 3, 1, 3, 4, 3, 2, 0, 4, 0, 3, 0, 2, 2, 3, 2, 3, 2, 0, 2, 2, 1, 2, 4, 3, 2, 3, 3, 4, 2, 2, 0, 4, 1, 0, 2, 3, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 3, 3, 3, 2, 2, 2, 4, 0, 0, 2, 4, 0, 4, 3, 0, 4, 0, 3, 0, 2, 0, 0, 4, 3, 3, 2, 2, 0, 1, 2, 2, 0, 4, 4, 3, 1, 3, 1, 0, 3, 2, 0, 4, 0, 1, 3, 2, 4, 1, 2, 0, 0, 2, 4, 0, 1, 1, 4, 2, 3, 3, 1, 2, 2, 1, 0, 1, 1, 3, 1, 2, 3, 2, 0, 4, 1, 0, 2, 1, 3, 4, 3, 3, 3, 4, 4, 4, 4, 2, 3, 2, 1, 3, 2, 2, 4, 4, 1, 3, 1, 1, 0, 3, 3, 0, 0, 2, 4, 1, 3, 3, 1, 1, 3, 2, 1, 0, 0, 0, 4, 2, 2, 2] pubkeycol549 = [3, 1, 2, 1, 3, 0, 2, 4, 3, 1, 2, 0, 0, 2, 0, 1, 0, 2, 4, 2, 0, 0, 2, 3, 3, 0, 3, 1, 1, 3, 3, 2, 0, 3, 1, 0, 2, 3, 4, 1, 0, 1, 4, 0, 1, 4, 1, 1, 0, 3, 3, 4, 2, 4, 3, 0, 4, 4, 4, 3, 4, 2, 4, 1, 4, 1, 0, 2, 2, 0, 2, 1, 0, 3, 2, 0, 3, 0, 4, 3, 2, 3, 2, 4, 4, 0, 3, 1, 1, 3, 0, 0, 2, 4, 0, 3, 1, 3, 2, 3, 3, 4, 3, 3, 3, 3, 2, 1, 2, 4, 2, 0, 0, 2, 1, 3, 3, 4, 4, 1, 0, 0, 2, 2, 1, 2, 3, 1, 0, 3, 0, 0, 1, 2, 4, 4, 1, 4, 4, 0, 3, 2, 1, 1, 2, 2, 4, 3, 3, 4, 0, 2, 2, 1, 4, 3, 1, 2, 3, 0, 4, 2, 3, 3, 3, 4, 3, 3, 1, 4, 1, 2, 2, 1, 2, 0, 3, 0, 2, 1, 4, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 4, 1, 2, 3, 4, 4, 2, 4, 1, 1, 2, 3, 3, 2, 3, 3, 4, 0, 0, 4, 2, 1, 4, 2, 0, 2, 0, 2, 1, 4, 1, 2, 0, 0, 1, 1, 2, 2, 4, 0, 3, 4, 4, 4, 1, 3, 4, 4, 2, 4, 1, 2, 2, 3, 4, 4, 4, 0, 4, 0, 4, 4, 4, 3, 4, 0, 2, 3, 4, 3, 1, 2, 4, 0, 4, 2, 3, 4, 2, 1, 2, 1, 1, 2, 4, 0, 3, 3, 4, 0, 1, 2, 4, 4, 0, 0, 2, 4, 2, 4, 4, 1, 3, 2, 0, 0, 1, 4, 2, 2, 1, 2, 3, 4, 1, 0, 0, 3, 0, 2, 3, 2, 1, 1, 2, 1, 4, 0, 2, 0, 2, 0, 4, 4, 0, 3, 1, 3, 0, 1, 1, 0, 3, 0, 2, 2, 0, 2, 3, 2, 0, 1, 0, 0, 3, 2, 2, 3, 0, 1, 0, 3, 1, 0, 1, 2, 3, 1, 2, 3, 4, 1, 0, 2, 1, 0, 0, 1, 4, 0, 0, 3, 0, 0, 0, 2, 3, 3, 1, 0, 1, 2, 0, 0, 4, 1, 0, 1, 0, 4, 2, 1, 2, 1, 2, 1, 1, 4] pubkeycol550 = [4, 3, 1, 2, 0, 0, 4, 4, 4, 1, 0, 4, 4, 4, 3, 1, 1, 1, 3, 4, 0, 3, 3, 0, 0, 4, 0, 2, 2, 0, 0, 0, 1, 4, 2, 1, 3, 1, 4, 3, 4, 0, 2, 0, 0, 0, 3, 2, 4, 1, 1, 1, 4, 0, 1, 2, 4, 1, 2, 1, 4, 3, 0, 3, 0, 0, 3, 2, 1, 4, 1, 3, 2, 4, 4, 2, 1, 1, 0, 1, 2, 0, 2, 0, 3, 3, 1, 4, 0, 0, 0, 4, 4, 1, 4, 4, 4, 4, 4, 2, 4, 1, 1, 3, 1, 4, 3, 2, 0, 2, 2, 4, 2, 4, 1, 3, 2, 2, 1, 2, 1, 0, 4, 1, 1, 0, 2, 3, 3, 4, 2, 4, 0, 1, 1, 3, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 3, 1, 3, 0, 2, 1, 4, 4, 3, 3, 4, 2, 2, 4, 3, 0, 1, 1, 3, 0, 2, 2, 0, 1, 1, 2, 0, 4, 0, 4, 1, 3, 4, 3, 2, 1, 0, 1, 4, 3, 1, 1, 3, 3, 1, 1, 3, 2, 3, 1, 4, 0, 2, 3, 4, 4, 4, 4, 2, 0, 1, 1, 4, 4, 2, 2, 3, 4, 0, 1, 3, 1, 1, 0, 0, 3, 0, 2, 0, 2, 1, 1, 4, 4, 3, 1, 0, 2, 3, 2, 2, 3, 4, 1, 1, 1, 0, 1, 3, 1, 4, 1, 0, 1, 4, 4, 3, 1, 0, 3, 2, 1, 0, 4, 4, 3, 4, 0, 0, 2, 0, 4, 3, 0, 0, 3, 0, 2, 3, 4, 4, 3, 4, 3, 1, 0, 1, 1, 2, 2, 4, 2, 4, 0, 1, 3, 2, 2, 3, 4, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 0, 4, 2, 2, 4, 3, 1, 3, 4, 0, 3, 2, 3, 2, 0, 2, 4, 2, 4, 2, 0, 4, 4, 2, 4, 3, 4, 0, 2, 4, 3, 1, 4, 1, 0, 4, 0, 3, 1, 3, 1, 3, 1, 2, 2, 0, 2, 4, 0, 0, 3, 1, 0, 3, 2, 1, 3, 1, 2, 4, 4, 1, 3, 0, 0, 1, 2, 0, 2, 3, 3, 1, 1, 3, 4, 1, 3, 4, 1, 4, 4, 3, 4, 0, 4, 1, 4, 4, 4, 3] pubkeycol551 = [2, 4, 1, 3, 4, 2, 3, 4, 2, 4, 4, 2, 4, 4, 2, 3, 0, 4, 4, 3, 4, 1, 0, 0, 0, 0, 0, 2, 3, 2, 1, 0, 4, 3, 0, 1, 2, 1, 1, 2, 4, 4, 3, 4, 3, 1, 3, 3, 2, 0, 0, 1, 4, 0, 0, 2, 3, 1, 0, 1, 3, 1, 2, 4, 1, 4, 1, 4, 4, 2, 2, 1, 2, 3, 3, 4, 3, 4, 0, 2, 3, 0, 4, 2, 3, 0, 4, 2, 0, 1, 1, 3, 2, 1, 0, 1, 4, 3, 0, 0, 0, 3, 0, 0, 3, 2, 3, 1, 0, 0, 2, 1, 1, 3, 1, 2, 3, 2, 2, 0, 4, 3, 4, 3, 1, 2, 4, 0, 0, 1, 4, 4, 3, 3, 0, 1, 2, 3, 1, 3, 3, 1, 3, 0, 0, 4, 4, 4, 3, 2, 4, 4, 4, 4, 2, 2, 0, 3, 4, 3, 1, 4, 4, 3, 4, 4, 4, 2, 3, 3, 3, 0, 4, 1, 4, 3, 2, 0, 4, 3, 0, 1, 3, 0, 0, 4, 0, 3, 4, 3, 4, 1, 2, 2, 1, 2, 1, 0, 3, 1, 3, 1, 0, 0, 4, 1, 1, 4, 0, 0, 0, 4, 1, 2, 3, 1, 0, 4, 2, 2, 3, 0, 0, 0, 3, 1, 2, 3, 2, 3, 2, 0, 3, 4, 0, 0, 3, 3, 1, 3, 4, 1, 1, 4, 2, 1, 0, 4, 4, 2, 1, 2, 4, 1, 2, 3, 4, 1, 1, 4, 3, 3, 2, 3, 2, 0, 3, 1, 4, 3, 3, 4, 0, 2, 3, 1, 1, 2, 1, 2, 2, 2, 2, 4, 3, 4, 1, 3, 3, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 1, 1, 1, 1, 4, 2, 2, 3, 2, 4, 1, 4, 0, 0, 4, 2, 4, 2, 4, 4, 1, 1, 2, 2, 4, 2, 2, 1, 3, 4, 4, 1, 4, 0, 2, 0, 1, 4, 1, 3, 3, 3, 0, 2, 0, 2, 0, 3, 1, 0, 1, 4, 1, 3, 1, 2, 0, 2, 4, 1, 3, 2, 1, 3, 3, 1, 2, 4, 2, 1, 2, 4, 1, 2, 1, 2, 3, 2, 4, 1, 0, 0, 1, 4, 1, 3, 4, 3, 1, 2, 3, 1, 2, 2, 4, 0, 3, 3, 4, 0, 2] pubkeycol552 = [4, 0, 3, 4, 3, 2, 0, 2, 2, 4, 0, 4, 2, 0, 4, 1, 1, 4, 3, 3, 0, 1, 0, 1, 4, 3, 4, 4, 1, 3, 1, 1, 4, 3, 0, 0, 3, 2, 1, 4, 2, 0, 1, 0, 0, 3, 1, 4, 4, 2, 0, 2, 3, 0, 0, 2, 0, 0, 0, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 4, 4, 0, 1, 0, 0, 1, 0, 4, 1, 1, 2, 4, 0, 3, 2, 1, 3, 1, 2, 2, 0, 4, 3, 1, 2, 1, 4, 3, 3, 0, 2, 1, 2, 0, 0, 0, 3, 2, 3, 3, 2, 2, 1, 2, 4, 4, 1, 1, 0, 3, 0, 0, 3, 0, 0, 4, 2, 1, 0, 1, 3, 1, 1, 3, 3, 1, 3, 4, 4, 2, 0, 0, 2, 4, 1, 2, 3, 4, 0, 1, 1, 2, 2, 1, 3, 4, 1, 3, 1, 2, 1, 4, 3, 2, 2, 1, 1, 4, 1, 1, 2, 2, 0, 1, 1, 3, 4, 3, 2, 0, 2, 4, 2, 4, 1, 0, 2, 2, 4, 3, 4, 0, 4, 0, 3, 0, 3, 0, 3, 1, 1, 2, 1, 4, 2, 4, 1, 1, 3, 4, 2, 0, 3, 0, 3, 1, 4, 3, 1, 0, 2, 4, 2, 2, 2, 4, 4, 3, 4, 0, 4, 1, 1, 4, 2, 1, 3, 2, 3, 2, 0, 0, 1, 1, 0, 3, 2, 3, 0, 2, 1, 0, 2, 4, 2, 2, 1, 3, 1, 2, 2, 0, 0, 1, 4, 2, 3, 2, 1, 2, 4, 2, 0, 2, 3, 0, 3, 2, 3, 0, 1, 3, 1, 1, 0, 3, 4, 3, 2, 3, 1, 1, 4, 3, 0, 3, 4, 4, 1, 2, 3, 1, 4, 3, 1, 3, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 2, 4, 1, 2, 2, 0, 0, 4, 2, 0, 4, 1, 2, 4, 0, 2, 3, 0, 2, 0, 0, 1, 4, 1, 3, 4, 2, 2, 2, 4, 1, 2, 1, 2, 0, 0, 4, 2, 1, 4, 2, 1, 0, 0, 4, 1, 4, 0, 3, 1, 0, 4, 4, 1, 0, 1, 0, 3, 0, 3, 0, 3, 2, 0, 3, 2, 1, 0, 1, 4, 3, 4, 3, 2, 1] pubkeycol553 = [0, 0, 0, 3, 1, 3, 1, 3, 1, 3, 1, 1, 3, 3, 3, 1, 1, 0, 4, 1, 4, 1, 2, 3, 1, 1, 0, 3, 1, 3, 0, 3, 2, 1, 2, 1, 1, 4, 3, 2, 0, 4, 1, 3, 0, 0, 4, 2, 4, 3, 1, 4, 0, 3, 2, 0, 3, 1, 1, 1, 1, 0, 3, 4, 4, 3, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 2, 0, 1, 4, 2, 1, 0, 0, 0, 0, 4, 4, 4, 1, 0, 1, 3, 2, 0, 2, 1, 2, 0, 4, 4, 1, 1, 3, 1, 4, 1, 0, 0, 0, 3, 2, 2, 2, 0, 1, 4, 2, 4, 3, 3, 1, 2, 4, 3, 1, 3, 3, 4, 3, 2, 3, 1, 2, 1, 4, 0, 0, 4, 4, 1, 2, 0, 2, 1, 2, 2, 3, 1, 3, 3, 0, 3, 0, 2, 1, 2, 3, 2, 3, 2, 2, 0, 4, 3, 0, 3, 0, 3, 4, 3, 0, 2, 3, 0, 3, 0, 3, 1, 2, 0, 2, 3, 0, 1, 2, 1, 4, 3, 4, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 1, 3, 3, 3, 2, 1, 4, 2, 1, 0, 2, 1, 2, 1, 2, 4, 4, 1, 3, 3, 0, 2, 2, 4, 0, 2, 2, 4, 0, 1, 2, 2, 3, 3, 3, 1, 3, 2, 1, 1, 0, 2, 0, 0, 0, 3, 3, 0, 2, 0, 1, 4, 4, 1, 0, 4, 0, 2, 4, 0, 1, 0, 0, 3, 2, 2, 3, 3, 0, 2, 1, 4, 3, 4, 4, 2, 3, 3, 0, 1, 1, 0, 0, 1, 4, 4, 1, 4, 0, 0, 1, 2, 0, 1, 3, 4, 0, 1, 1, 1, 4, 2, 2, 3, 0, 1, 2, 3, 3, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 4, 1, 3, 4, 3, 3, 3, 3, 2, 2, 0, 4, 0, 1, 1, 2, 3, 2, 1, 1, 0, 1, 2, 1, 4, 0, 3, 2, 0, 0, 3, 4, 1, 0, 0, 1, 0, 3, 2, 4, 4, 2, 4, 1, 1, 4, 2, 4, 0, 2, 4, 0, 3, 1, 2, 2, 0, 2, 1, 4, 3, 4, 2, 4, 0, 1, 0, 4, 2, 1, 3, 4, 1, 3, 3, 3] pubkeycol554 = [3, 2, 4, 0, 2, 0, 0, 3, 4, 2, 1, 1, 4, 3, 2, 1, 4, 4, 3, 4, 0, 3, 0, 0, 0, 0, 2, 0, 0, 3, 4, 0, 3, 0, 1, 4, 2, 1, 0, 0, 4, 1, 3, 0, 2, 3, 1, 2, 0, 2, 3, 3, 0, 0, 1, 2, 1, 0, 1, 2, 3, 2, 1, 0, 3, 3, 3, 2, 1, 1, 4, 0, 2, 1, 4, 0, 4, 3, 1, 2, 4, 1, 0, 3, 0, 4, 2, 2, 3, 4, 1, 2, 3, 3, 4, 2, 3, 2, 0, 3, 0, 1, 3, 2, 4, 3, 1, 3, 2, 3, 1, 2, 3, 3, 0, 3, 3, 3, 2, 1, 0, 4, 1, 4, 1, 4, 3, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 3, 4, 1, 3, 3, 2, 1, 0, 2, 3, 1, 4, 2, 2, 0, 3, 2, 0, 4, 1, 2, 1, 4, 0, 1, 4, 4, 4, 0, 2, 0, 3, 0, 3, 3, 0, 3, 1, 2, 2, 3, 2, 0, 0, 2, 3, 0, 1, 3, 4, 4, 1, 3, 2, 4, 4, 1, 3, 1, 2, 4, 0, 3, 0, 2, 4, 1, 2, 1, 0, 1, 3, 2, 3, 3, 4, 2, 4, 4, 0, 3, 1, 1, 4, 2, 3, 4, 1, 3, 2, 0, 3, 3, 4, 1, 0, 4, 0, 1, 4, 0, 1, 1, 4, 4, 1, 2, 2, 3, 1, 4, 1, 4, 4, 4, 2, 4, 2, 3, 3, 4, 2, 3, 0, 0, 0, 4, 2, 3, 1, 4, 0, 2, 0, 2, 0, 1, 3, 1, 3, 2, 4, 0, 4, 1, 0, 1, 1, 3, 3, 2, 1, 4, 4, 0, 1, 2, 0, 0, 3, 4, 3, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 3, 3, 2, 4, 1, 2, 3, 3, 4, 1, 1, 2, 0, 1, 0, 4, 4, 1, 1, 4, 4, 2, 4, 4, 2, 3, 1, 4, 3, 3, 3, 4, 2, 3, 2, 0, 3, 0, 2, 3, 0, 0, 1, 2, 0, 2, 1, 1, 3, 1, 2, 1, 3, 0, 4, 0, 0, 0, 2, 4, 0, 2, 3, 4, 0, 4, 2, 0, 3, 2, 2, 1, 0, 2, 3, 0, 0, 4, 0, 3, 4, 1, 3, 4, 3, 4, 1, 0, 1] pubkeycol555 = [3, 1, 1, 3, 4, 3, 1, 3, 3, 0, 1, 4, 1, 4, 4, 4, 1, 4, 3, 3, 4, 3, 3, 4, 1, 1, 0, 4, 3, 4, 0, 1, 4, 0, 2, 4, 0, 3, 4, 1, 0, 1, 1, 2, 2, 3, 4, 4, 1, 3, 2, 0, 2, 3, 4, 1, 2, 1, 3, 1, 3, 3, 2, 3, 1, 3, 0, 3, 0, 2, 1, 0, 3, 3, 2, 1, 4, 1, 2, 2, 0, 3, 4, 2, 2, 0, 1, 3, 4, 2, 3, 4, 1, 1, 1, 3, 4, 2, 4, 1, 1, 2, 1, 4, 4, 2, 3, 1, 0, 1, 1, 0, 3, 1, 4, 1, 1, 2, 2, 0, 4, 1, 2, 3, 4, 2, 3, 0, 4, 4, 0, 3, 4, 1, 3, 1, 1, 2, 2, 2, 2, 2, 2, 1, 4, 3, 1, 2, 4, 4, 1, 2, 4, 1, 1, 0, 2, 3, 1, 0, 4, 3, 3, 3, 3, 2, 3, 0, 3, 1, 1, 0, 3, 4, 3, 3, 2, 1, 1, 2, 1, 0, 3, 0, 0, 0, 0, 4, 0, 1, 2, 2, 1, 1, 0, 3, 0, 4, 4, 4, 2, 1, 2, 1, 1, 0, 4, 3, 3, 1, 3, 2, 4, 4, 1, 1, 0, 2, 3, 3, 3, 1, 3, 3, 2, 2, 1, 3, 0, 0, 4, 3, 4, 2, 3, 0, 4, 2, 0, 1, 4, 0, 0, 1, 2, 1, 4, 3, 2, 0, 1, 4, 2, 1, 0, 0, 1, 4, 0, 0, 2, 0, 4, 4, 3, 0, 0, 3, 1, 2, 2, 2, 0, 4, 2, 2, 4, 4, 2, 0, 2, 0, 4, 1, 0, 3, 4, 3, 0, 3, 2, 0, 2, 1, 2, 4, 0, 4, 4, 0, 4, 3, 1, 4, 0, 2, 4, 4, 2, 2, 0, 4, 0, 0, 2, 0, 4, 1, 1, 4, 4, 4, 0, 2, 0, 3, 3, 3, 1, 1, 4, 1, 3, 3, 1, 3, 0, 1, 1, 0, 2, 4, 3, 1, 2, 4, 4, 1, 1, 3, 2, 4, 3, 3, 3, 4, 4, 4, 3, 0, 4, 2, 0, 0, 0, 0, 2, 1, 3, 0, 0, 3, 1, 4, 3, 4, 4, 0, 1, 3, 1, 1, 3, 1, 1, 0, 3, 4, 3, 2, 4, 1, 3, 1, 0, 3, 0, 0, 1, 0] pubkeycol556 = [3, 4, 3, 3, 4, 1, 0, 0, 4, 1, 0, 2, 3, 1, 3, 1, 2, 2, 2, 4, 2, 4, 3, 4, 0, 4, 0, 0, 3, 2, 0, 4, 0, 3, 1, 0, 1, 2, 2, 2, 1, 4, 0, 3, 4, 2, 0, 0, 1, 0, 1, 2, 3, 4, 0, 4, 4, 1, 4, 1, 3, 4, 0, 0, 1, 4, 0, 1, 4, 3, 3, 3, 2, 3, 1, 0, 0, 4, 4, 2, 4, 4, 1, 3, 0, 4, 0, 2, 1, 0, 3, 1, 4, 3, 3, 1, 1, 3, 2, 0, 3, 4, 0, 2, 1, 3, 1, 3, 0, 1, 4, 1, 3, 0, 1, 1, 4, 4, 1, 0, 4, 3, 3, 4, 4, 1, 0, 1, 4, 1, 2, 4, 3, 2, 1, 2, 0, 1, 4, 0, 2, 1, 1, 1, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 0, 2, 4, 4, 4, 3, 2, 0, 2, 3, 1, 2, 0, 4, 1, 1, 4, 2, 4, 0, 2, 2, 0, 0, 3, 0, 0, 2, 1, 0, 0, 2, 2, 4, 0, 4, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 0, 2, 4, 0, 1, 0, 2, 1, 3, 4, 2, 0, 1, 1, 4, 2, 1, 1, 3, 3, 4, 0, 1, 0, 2, 0, 4, 3, 0, 1, 2, 4, 2, 1, 1, 2, 3, 0, 1, 0, 1, 1, 0, 0, 4, 2, 4, 3, 1, 1, 0, 0, 3, 4, 3, 3, 2, 2, 1, 3, 1, 1, 0, 3, 4, 2, 2, 4, 2, 0, 4, 2, 4, 4, 0, 4, 2, 1, 0, 3, 1, 2, 1, 0, 2, 3, 1, 1, 0, 2, 4, 1, 1, 3, 4, 0, 4, 0, 0, 1, 0, 3, 2, 1, 4, 1, 3, 0, 4, 0, 4, 0, 2, 2, 0, 0, 0, 4, 0, 0, 0, 4, 1, 3, 2, 2, 1, 0, 3, 0, 4, 0, 1, 4, 1, 3, 4, 0, 1, 0, 3, 1, 2, 2, 4, 4, 4, 4, 3, 4, 0, 0, 2, 3, 1, 2, 1, 3, 2, 4, 1, 0, 3, 1, 1, 2, 2, 3, 4, 0, 3, 4, 2, 0, 0, 1, 3, 3, 4, 2, 1, 0, 1, 4, 3, 4, 3, 1, 3, 2, 1, 3, 0, 1, 1, 1, 1, 2, 3, 3] pubkeycol557 = [1, 4, 1, 4, 2, 1, 2, 4, 2, 2, 3, 1, 0, 3, 3, 1, 4, 0, 2, 3, 4, 1, 2, 1, 4, 1, 3, 0, 2, 4, 4, 1, 2, 2, 0, 1, 4, 0, 4, 4, 1, 4, 2, 4, 4, 3, 4, 1, 4, 2, 1, 0, 1, 4, 2, 2, 0, 2, 2, 2, 2, 3, 4, 3, 4, 1, 2, 2, 0, 3, 2, 1, 0, 1, 4, 0, 4, 0, 2, 0, 2, 3, 0, 4, 0, 1, 1, 2, 0, 1, 3, 0, 0, 0, 3, 0, 1, 0, 0, 4, 1, 1, 2, 0, 3, 2, 3, 1, 2, 1, 2, 0, 3, 4, 1, 4, 1, 2, 4, 1, 3, 1, 4, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 3, 4, 1, 4, 4, 1, 3, 0, 2, 1, 3, 0, 3, 4, 3, 1, 1, 4, 3, 3, 3, 0, 2, 4, 3, 1, 3, 0, 0, 0, 1, 3, 3, 4, 1, 4, 2, 3, 4, 1, 4, 1, 3, 0, 4, 0, 3, 2, 3, 0, 4, 0, 3, 0, 3, 4, 3, 0, 3, 4, 3, 2, 3, 0, 1, 1, 1, 1, 3, 3, 4, 2, 1, 4, 2, 4, 4, 3, 1, 3, 3, 2, 4, 4, 0, 1, 4, 4, 0, 2, 1, 0, 2, 0, 3, 0, 3, 3, 0, 1, 3, 1, 2, 4, 2, 2, 4, 3, 2, 4, 1, 4, 3, 3, 0, 4, 4, 2, 0, 4, 1, 2, 2, 0, 3, 2, 1, 3, 4, 3, 3, 4, 3, 3, 0, 3, 4, 2, 4, 2, 1, 3, 1, 3, 1, 3, 0, 1, 1, 3, 0, 4, 4, 1, 0, 2, 1, 3, 2, 4, 3, 0, 0, 3, 3, 4, 2, 1, 3, 2, 2, 0, 3, 4, 1, 3, 2, 4, 3, 3, 4, 0, 1, 0, 3, 4, 3, 3, 0, 4, 4, 4, 2, 0, 1, 1, 4, 1, 0, 3, 2, 2, 1, 4, 1, 4, 3, 0, 4, 3, 0, 1, 0, 0, 4, 2, 3, 4, 3, 3, 1, 3, 0, 1, 1, 3, 4, 1, 4, 1, 4, 0, 0, 4, 4, 0, 4, 3, 3, 0, 2, 3, 3, 3, 1, 4, 3, 4, 0, 2, 4, 4, 0, 2, 4, 2, 0, 2, 0, 3, 2, 1, 0, 3, 3, 4, 2] pubkeycol558 = [4, 2, 1, 1, 1, 0, 3, 4, 2, 1, 1, 3, 1, 1, 2, 3, 3, 2, 3, 1, 2, 3, 0, 0, 0, 3, 3, 2, 2, 2, 1, 3, 1, 4, 2, 2, 4, 2, 0, 4, 1, 2, 3, 4, 0, 0, 2, 2, 3, 0, 2, 4, 4, 1, 0, 4, 4, 4, 2, 0, 4, 3, 4, 3, 1, 1, 4, 0, 1, 0, 0, 3, 0, 3, 1, 1, 2, 1, 4, 3, 1, 3, 3, 4, 0, 4, 3, 0, 4, 4, 1, 3, 1, 3, 1, 2, 2, 3, 0, 3, 1, 4, 1, 3, 1, 2, 4, 4, 4, 1, 2, 0, 4, 4, 3, 0, 2, 0, 0, 2, 0, 3, 3, 2, 4, 1, 4, 0, 2, 0, 4, 3, 4, 4, 3, 0, 4, 0, 2, 1, 0, 2, 3, 3, 2, 0, 2, 2, 1, 1, 4, 3, 3, 0, 3, 3, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 2, 0, 2, 2, 0, 4, 0, 2, 1, 1, 0, 1, 2, 4, 0, 0, 4, 3, 4, 3, 3, 1, 3, 4, 3, 4, 1, 2, 3, 4, 3, 1, 2, 3, 0, 3, 2, 3, 2, 3, 2, 1, 3, 0, 1, 4, 1, 1, 0, 3, 2, 0, 0, 2, 2, 0, 2, 4, 3, 1, 0, 0, 2, 4, 4, 1, 2, 2, 3, 4, 3, 4, 4, 3, 2, 2, 4, 0, 2, 0, 3, 0, 2, 3, 2, 2, 0, 1, 3, 3, 1, 2, 2, 3, 4, 0, 3, 3, 4, 0, 2, 4, 0, 4, 4, 3, 2, 2, 4, 2, 0, 2, 1, 4, 2, 3, 3, 0, 0, 0, 1, 0, 1, 0, 4, 2, 3, 4, 0, 1, 2, 4, 1, 4, 1, 3, 1, 4, 3, 1, 1, 1, 4, 0, 2, 3, 2, 2, 4, 1, 3, 2, 2, 2, 1, 0, 0, 0, 3, 2, 2, 0, 3, 4, 2, 3, 3, 2, 1, 3, 1, 4, 0, 0, 3, 0, 2, 3, 2, 0, 4, 1, 3, 2, 3, 3, 2, 4, 4, 4, 2, 2, 1, 1, 2, 0, 3, 3, 0, 4, 4, 3, 1, 3, 2, 4, 1, 4, 4, 2, 1, 1, 3, 0, 3, 1, 1, 4, 4, 2, 0, 0, 0, 0, 3, 0, 1, 4, 2, 4, 0] pubkeycol559 = [1, 3, 0, 1, 3, 1, 0, 2, 3, 1, 3, 1, 3, 0, 4, 2, 1, 1, 2, 0, 3, 1, 1, 1, 2, 1, 1, 1, 4, 0, 3, 3, 2, 4, 4, 1, 4, 1, 4, 1, 4, 1, 2, 0, 0, 2, 1, 1, 3, 2, 2, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 2, 1, 2, 3, 4, 2, 3, 0, 3, 1, 1, 3, 2, 1, 4, 4, 3, 3, 4, 4, 2, 1, 0, 4, 4, 4, 3, 3, 0, 3, 3, 1, 1, 0, 3, 3, 0, 2, 1, 3, 4, 3, 4, 4, 4, 4, 2, 1, 4, 4, 3, 4, 0, 3, 4, 4, 1, 1, 0, 4, 3, 0, 0, 2, 2, 2, 0, 1, 3, 1, 4, 3, 0, 3, 0, 0, 0, 4, 2, 3, 1, 1, 3, 4, 3, 3, 3, 2, 1, 1, 4, 1, 3, 0, 4, 3, 4, 3, 2, 4, 2, 2, 3, 4, 1, 2, 4, 2, 1, 1, 0, 2, 0, 3, 3, 3, 3, 1, 0, 2, 3, 3, 2, 1, 2, 4, 3, 4, 2, 2, 0, 0, 1, 3, 4, 4, 0, 2, 3, 1, 0, 0, 1, 1, 2, 3, 4, 0, 2, 4, 2, 0, 2, 2, 3, 1, 2, 4, 3, 0, 2, 4, 1, 3, 1, 2, 3, 1, 0, 2, 3, 3, 0, 0, 3, 2, 4, 2, 2, 4, 2, 2, 2, 0, 3, 2, 0, 4, 4, 0, 1, 1, 2, 3, 2, 0, 2, 4, 0, 0, 4, 4, 2, 0, 4, 0, 4, 3, 1, 2, 1, 3, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 3, 4, 2, 2, 1, 3, 0, 0, 4, 4, 2, 0, 0, 3, 4, 4, 3, 4, 1, 2, 3, 3, 1, 3, 2, 3, 4, 0, 2, 4, 4, 1, 2, 3, 4, 2, 0, 2, 0, 4, 2, 0, 3, 2, 3, 1, 4, 2, 1, 2, 1, 2, 2, 1, 2, 0, 4, 3, 3, 3, 3, 4, 2, 3, 1, 1, 4, 3, 3, 3, 0, 1, 0, 2, 0, 0, 3, 4, 3, 2, 1, 0, 4, 4, 2, 3, 4, 3, 2, 0, 1, 1, 1, 0, 4, 3, 3, 0, 3, 1, 1, 0, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 2, 2, 1, 1] pubkeycol560 = [1, 1, 4, 4, 3, 2, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 0, 4, 3, 0, 4, 1, 0, 1, 4, 4, 2, 4, 4, 4, 4, 0, 2, 3, 3, 4, 3, 2, 2, 4, 2, 2, 4, 4, 4, 2, 3, 2, 4, 0, 1, 1, 1, 3, 0, 2, 4, 4, 4, 4, 3, 2, 2, 3, 3, 4, 3, 4, 4, 3, 1, 3, 0, 3, 1, 4, 0, 0, 4, 0, 2, 1, 2, 3, 3, 3, 2, 1, 0, 4, 3, 4, 0, 0, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 3, 0, 4, 2, 0, 2, 3, 3, 2, 1, 3, 0, 3, 0, 4, 1, 3, 3, 2, 1, 3, 0, 4, 1, 4, 1, 3, 1, 1, 1, 1, 2, 1, 2, 4, 0, 3, 2, 0, 4, 2, 0, 3, 3, 4, 1, 1, 1, 4, 0, 0, 1, 3, 2, 3, 3, 4, 0, 2, 2, 1, 0, 1, 1, 2, 4, 1, 3, 2, 2, 0, 2, 0, 2, 1, 0, 1, 4, 1, 2, 2, 4, 2, 3, 4, 0, 4, 1, 0, 0, 1, 2, 2, 3, 1, 4, 3, 4, 1, 0, 1, 0, 3, 2, 4, 4, 1, 4, 0, 0, 0, 3, 0, 0, 0, 3, 2, 1, 0, 4, 0, 3, 0, 4, 1, 3, 1, 3, 2, 0, 2, 3, 2, 1, 1, 3, 0, 1, 2, 2, 0, 4, 4, 1, 2, 4, 3, 3, 0, 1, 3, 4, 1, 2, 2, 3, 2, 2, 1, 0, 3, 0, 2, 4, 0, 1, 2, 4, 3, 1, 0, 1, 3, 1, 2, 3, 0, 0, 4, 3, 3, 4, 3, 2, 1, 2, 3, 1, 0, 3, 1, 3, 1, 0, 3, 2, 2, 3, 4, 3, 4, 3, 4, 1, 2, 2, 4, 4, 4, 0, 4, 0, 2, 3, 1, 1, 2, 4, 2, 2, 1, 4, 0, 0, 0, 0, 4, 4, 2, 1, 4, 2, 2, 0, 2, 3, 1, 3, 4, 1, 2, 1, 2, 1, 1, 3, 2, 4, 1, 4, 1, 0, 2, 3, 0, 2, 2, 4, 3, 1, 2, 3, 1, 0, 4, 4, 4, 0, 4, 3, 2, 2, 3, 2, 3, 2, 2, 3, 1, 0, 2, 2, 1, 1, 4, 0, 3, 1, 1, 1, 0, 3, 0, 3, 4, 2] pubkeycol561 = [4, 3, 4, 0, 4, 1, 4, 3, 4, 3, 3, 0, 3, 2, 0, 1, 3, 3, 4, 0, 4, 1, 2, 1, 0, 1, 4, 4, 4, 2, 4, 4, 4, 0, 1, 0, 3, 3, 4, 1, 4, 2, 1, 0, 0, 4, 3, 2, 4, 4, 4, 2, 3, 4, 1, 0, 4, 0, 1, 3, 4, 1, 3, 4, 2, 4, 4, 4, 1, 0, 0, 1, 4, 3, 2, 4, 0, 1, 1, 1, 0, 4, 2, 0, 4, 1, 4, 2, 2, 0, 2, 4, 2, 0, 2, 4, 2, 4, 2, 0, 4, 1, 4, 3, 2, 0, 2, 3, 2, 2, 0, 0, 3, 1, 2, 2, 3, 2, 2, 3, 3, 3, 3, 0, 4, 2, 3, 3, 2, 1, 1, 1, 3, 4, 1, 1, 4, 0, 0, 2, 2, 0, 3, 4, 2, 4, 2, 2, 3, 3, 4, 1, 1, 3, 0, 4, 1, 1, 4, 3, 4, 2, 4, 1, 3, 4, 1, 1, 2, 1, 2, 0, 4, 1, 3, 1, 1, 1, 1, 4, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 4, 0, 4, 0, 3, 0, 0, 1, 3, 3, 2, 3, 0, 4, 3, 2, 1, 2, 1, 0, 4, 0, 3, 4, 4, 2, 4, 0, 1, 1, 2, 3, 3, 2, 4, 1, 2, 3, 4, 0, 2, 0, 2, 2, 0, 0, 4, 1, 3, 1, 1, 0, 1, 0, 4, 2, 2, 0, 0, 2, 2, 4, 0, 1, 2, 3, 4, 1, 0, 3, 0, 3, 0, 3, 4, 2, 2, 4, 1, 1, 2, 2, 2, 2, 2, 1, 3, 1, 1, 1, 2, 2, 0, 3, 1, 0, 0, 3, 2, 4, 4, 1, 4, 3, 4, 2, 1, 4, 2, 0, 4, 4, 1, 3, 2, 0, 1, 3, 1, 4, 1, 4, 1, 0, 4, 0, 2, 0, 4, 1, 4, 1, 0, 3, 0, 2, 2, 3, 2, 0, 1, 2, 4, 2, 1, 3, 1, 1, 1, 0, 2, 0, 4, 1, 1, 4, 1, 0, 3, 4, 3, 1, 2, 0, 1, 1, 3, 3, 3, 4, 4, 0, 3, 1, 2, 0, 3, 0, 3, 2, 1, 1, 1, 1, 4, 0, 2, 3, 1, 0, 4, 2, 4, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 3, 3, 3, 2] pubkeycol562 = [4, 0, 1, 3, 1, 2, 2, 3, 2, 0, 0, 1, 3, 3, 3, 3, 4, 3, 4, 1, 3, 1, 3, 3, 4, 4, 4, 3, 2, 4, 2, 1, 3, 2, 1, 4, 0, 4, 4, 3, 0, 3, 2, 4, 1, 4, 2, 1, 3, 1, 2, 4, 3, 0, 2, 3, 0, 2, 3, 4, 0, 0, 4, 3, 0, 4, 3, 4, 3, 0, 0, 2, 4, 4, 1, 0, 1, 0, 2, 2, 0, 4, 3, 3, 4, 3, 2, 1, 0, 3, 1, 4, 1, 0, 2, 3, 0, 1, 0, 0, 2, 0, 4, 1, 3, 1, 1, 2, 2, 4, 3, 2, 4, 2, 2, 1, 3, 2, 3, 1, 0, 1, 1, 0, 1, 4, 1, 2, 2, 4, 0, 2, 0, 4, 4, 1, 2, 2, 0, 4, 3, 4, 3, 3, 2, 4, 1, 4, 2, 2, 0, 1, 0, 4, 3, 3, 3, 0, 1, 2, 3, 4, 2, 3, 3, 0, 3, 1, 4, 3, 2, 4, 4, 1, 2, 0, 1, 1, 2, 4, 2, 3, 3, 0, 1, 3, 2, 4, 1, 1, 3, 3, 3, 3, 4, 2, 0, 3, 4, 4, 4, 3, 4, 3, 0, 2, 3, 3, 2, 2, 3, 4, 4, 3, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 3, 1, 2, 1, 4, 4, 4, 4, 4, 3, 2, 0, 3, 4, 0, 1, 2, 2, 4, 3, 1, 1, 0, 0, 2, 2, 3, 1, 3, 2, 3, 3, 0, 1, 4, 4, 2, 2, 2, 0, 1, 4, 3, 4, 1, 0, 3, 0, 0, 4, 2, 0, 2, 0, 4, 4, 0, 2, 0, 4, 3, 2, 4, 1, 4, 4, 4, 4, 3, 0, 1, 0, 3, 2, 4, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 4, 4, 3, 2, 3, 0, 4, 0, 0, 3, 3, 1, 3, 1, 4, 3, 3, 1, 0, 3, 3, 3, 2, 0, 2, 0, 1, 4, 2, 1, 2, 1, 3, 4, 3, 0, 0, 2, 1, 1, 4, 0, 4, 3, 1, 2, 2, 1, 3, 0, 1, 4, 0, 3, 3, 1, 4, 2, 2, 4, 1, 3, 2, 0, 3, 4, 4, 1, 0, 3, 2, 1, 1, 0, 2, 2, 1, 3, 3, 2, 3, 3, 0, 0, 3, 4, 3, 1, 0] pubkeycol563 = [3, 2, 0, 3, 1, 1, 2, 0, 0, 1, 3, 2, 1, 0, 4, 2, 0, 4, 4, 4, 4, 0, 4, 0, 3, 0, 0, 2, 0, 2, 4, 0, 1, 1, 2, 1, 0, 0, 3, 2, 2, 4, 0, 3, 2, 1, 3, 1, 4, 3, 1, 3, 4, 3, 2, 1, 3, 0, 1, 4, 2, 0, 3, 3, 4, 1, 1, 1, 0, 3, 2, 2, 3, 2, 4, 1, 3, 1, 2, 2, 0, 3, 4, 0, 1, 3, 3, 4, 3, 0, 4, 0, 2, 0, 3, 1, 4, 4, 4, 4, 0, 3, 1, 4, 2, 3, 2, 4, 0, 3, 0, 4, 1, 3, 2, 0, 0, 0, 0, 2, 4, 3, 2, 4, 2, 3, 4, 1, 2, 1, 3, 2, 3, 4, 4, 0, 1, 3, 4, 4, 3, 3, 1, 1, 2, 4, 0, 2, 4, 1, 0, 3, 2, 3, 0, 1, 2, 1, 2, 4, 1, 4, 2, 1, 4, 0, 2, 1, 1, 4, 3, 2, 0, 2, 4, 3, 4, 4, 3, 3, 2, 4, 4, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 3, 0, 2, 0, 3, 3, 4, 2, 0, 2, 0, 1, 2, 2, 3, 3, 3, 3, 1, 1, 4, 0, 3, 4, 2, 1, 4, 4, 3, 2, 4, 0, 0, 2, 4, 1, 1, 3, 1, 3, 3, 2, 4, 1, 3, 0, 3, 0, 4, 4, 2, 2, 0, 0, 0, 1, 0, 1, 3, 0, 1, 2, 2, 3, 1, 1, 2, 1, 4, 4, 0, 0, 4, 3, 4, 4, 1, 3, 4, 3, 4, 1, 0, 4, 2, 3, 1, 3, 4, 3, 3, 1, 3, 2, 2, 0, 2, 1, 0, 4, 2, 3, 2, 2, 3, 0, 0, 3, 0, 4, 3, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 1, 4, 1, 3, 1, 3, 1, 2, 1, 4, 4, 2, 3, 1, 2, 4, 3, 4, 2, 4, 2, 2, 3, 3, 4, 1, 2, 4, 3, 1, 4, 3, 2, 3, 3, 4, 3, 3, 2, 3, 0, 2, 1, 4, 1, 0, 1, 2, 4, 0, 0, 1, 1, 1, 3, 1, 4, 3, 3, 3, 4, 1, 2, 1, 2, 0, 2, 3, 1, 2, 2, 3, 2, 1, 3, 4] pubkeycol564 = [0, 0, 1, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 3, 2, 0, 2, 2, 0, 4, 2, 0, 1, 0, 0, 3, 3, 4, 3, 3, 4, 1, 1, 0, 0, 1, 1, 1, 4, 0, 4, 1, 1, 3, 0, 1, 0, 2, 1, 3, 4, 4, 3, 2, 1, 4, 1, 0, 3, 3, 0, 1, 2, 4, 3, 4, 3, 0, 2, 0, 1, 2, 1, 2, 3, 2, 3, 4, 4, 1, 0, 2, 3, 4, 2, 1, 2, 4, 3, 0, 0, 0, 3, 4, 0, 1, 2, 0, 2, 4, 3, 4, 0, 4, 0, 1, 1, 3, 0, 3, 3, 0, 0, 3, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 3, 1, 1, 2, 0, 1, 2, 4, 3, 3, 0, 3, 3, 2, 0, 2, 3, 2, 3, 3, 1, 4, 3, 3, 4, 3, 0, 0, 0, 1, 3, 2, 0, 1, 4, 2, 2, 3, 4, 0, 0, 1, 1, 4, 0, 2, 4, 4, 4, 0, 4, 2, 4, 0, 1, 1, 1, 3, 4, 3, 3, 3, 1, 0, 1, 3, 4, 3, 0, 4, 1, 4, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 4, 4, 4, 4, 3, 3, 1, 4, 2, 0, 0, 3, 4, 2, 3, 0, 0, 4, 2, 0, 2, 3, 0, 4, 1, 1, 0, 4, 2, 1, 0, 2, 1, 1, 2, 0, 2, 4, 0, 1, 0, 1, 4, 1, 1, 4, 1, 4, 4, 3, 3, 3, 1, 3, 4, 0, 3, 0, 3, 4, 0, 0, 4, 2, 2, 1, 4, 2, 1, 3, 3, 3, 0, 4, 4, 2, 4, 0, 0, 0, 4, 1, 0, 3, 0, 2, 3, 3, 2, 4, 1, 1, 4, 1, 2, 0, 0, 3, 0, 0, 1, 3, 2, 1, 0, 1, 4, 4, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 3, 1, 1, 2, 4, 4, 1, 3, 4, 3, 3, 4, 4, 3, 0, 1, 0, 4, 3, 0, 2, 0, 3, 1, 2, 0, 2, 4, 1, 3, 0, 3, 2, 3, 4, 4, 4, 3, 2, 1, 0, 0, 2, 4, 1, 0, 3, 1, 3, 1, 0, 2, 3, 3, 1, 2, 0, 0, 4, 3, 3, 0, 1, 3, 0, 2, 0, 2, 4, 4, 0, 0] pubkeycol565 = [4, 0, 0, 2, 1, 3, 4, 1, 0, 4, 3, 3, 4, 0, 3, 1, 2, 4, 4, 0, 3, 2, 4, 3, 1, 1, 3, 2, 3, 0, 2, 1, 4, 4, 1, 0, 4, 2, 1, 2, 0, 3, 4, 4, 3, 4, 3, 2, 4, 1, 1, 3, 1, 3, 0, 2, 4, 0, 0, 2, 3, 4, 4, 3, 3, 4, 2, 1, 4, 2, 3, 3, 0, 2, 0, 0, 2, 0, 2, 2, 4, 0, 3, 1, 0, 4, 0, 2, 4, 4, 4, 4, 2, 2, 0, 2, 3, 1, 4, 1, 2, 2, 0, 4, 4, 3, 1, 4, 1, 0, 2, 3, 0, 2, 0, 4, 2, 0, 0, 3, 0, 1, 0, 2, 4, 4, 1, 3, 4, 3, 1, 3, 3, 4, 2, 4, 4, 3, 1, 1, 1, 1, 4, 0, 2, 2, 3, 2, 1, 1, 0, 2, 3, 2, 1, 0, 4, 1, 2, 2, 1, 0, 2, 4, 1, 3, 1, 0, 4, 1, 4, 3, 3, 1, 3, 2, 0, 2, 4, 2, 1, 4, 3, 2, 0, 2, 1, 3, 2, 1, 4, 4, 2, 1, 3, 1, 1, 1, 1, 2, 3, 3, 4, 2, 3, 4, 3, 2, 2, 4, 2, 3, 4, 1, 0, 2, 4, 1, 2, 0, 2, 3, 1, 2, 4, 2, 4, 0, 2, 4, 0, 3, 4, 4, 0, 2, 1, 4, 2, 2, 1, 1, 2, 3, 3, 3, 2, 4, 1, 2, 1, 2, 2, 1, 3, 4, 3, 0, 4, 1, 4, 3, 4, 2, 0, 0, 1, 4, 2, 0, 4, 3, 4, 3, 3, 4, 4, 2, 1, 3, 0, 2, 3, 3, 4, 4, 4, 2, 3, 1, 2, 2, 1, 3, 3, 2, 3, 3, 4, 2, 2, 1, 3, 3, 4, 1, 3, 3, 0, 1, 2, 0, 0, 4, 4, 4, 0, 0, 2, 1, 4, 3, 0, 4, 4, 2, 2, 1, 3, 0, 1, 2, 3, 1, 4, 3, 0, 1, 0, 4, 3, 3, 3, 3, 4, 1, 2, 1, 2, 3, 3, 3, 1, 1, 4, 0, 3, 3, 0, 4, 1, 2, 0, 4, 4, 4, 1, 1, 3, 2, 2, 2, 3, 4, 3, 4, 2, 4, 2, 3, 2, 1, 0, 0, 1, 2, 2, 3, 3, 0, 3, 4, 1, 3, 1, 1, 3, 0, 4, 3] pubkeycol566 = [0, 0, 0, 1, 3, 2, 3, 4, 2, 0, 2, 0, 4, 2, 0, 4, 4, 3, 2, 3, 1, 1, 3, 3, 4, 1, 2, 3, 0, 2, 3, 1, 0, 3, 0, 2, 0, 0, 4, 2, 1, 3, 0, 1, 4, 0, 2, 0, 0, 2, 2, 3, 4, 4, 2, 2, 1, 2, 0, 1, 1, 4, 3, 1, 1, 1, 2, 3, 4, 1, 1, 2, 1, 1, 1, 0, 3, 2, 4, 4, 0, 2, 4, 1, 3, 1, 0, 1, 4, 1, 2, 3, 3, 3, 1, 4, 2, 1, 0, 3, 3, 0, 1, 0, 0, 2, 4, 3, 2, 0, 0, 4, 1, 2, 1, 1, 4, 0, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 4, 2, 2, 3, 3, 3, 2, 1, 0, 2, 3, 0, 4, 3, 4, 4, 0, 0, 0, 0, 2, 3, 2, 3, 3, 3, 2, 1, 3, 1, 4, 0, 1, 1, 3, 4, 4, 1, 4, 3, 0, 0, 1, 0, 1, 2, 0, 0, 1, 3, 0, 1, 4, 3, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 3, 3, 1, 4, 0, 2, 3, 4, 3, 1, 2, 2, 2, 0, 3, 1, 0, 3, 0, 2, 3, 4, 2, 2, 3, 1, 4, 0, 1, 1, 3, 1, 0, 1, 4, 3, 2, 2, 0, 1, 4, 3, 2, 3, 4, 3, 1, 1, 1, 2, 2, 0, 4, 2, 2, 3, 1, 3, 1, 1, 2, 3, 1, 4, 3, 1, 0, 1, 0, 4, 4, 1, 0, 0, 2, 3, 3, 0, 0, 3, 3, 2, 0, 4, 2, 4, 3, 2, 4, 4, 4, 3, 4, 0, 0, 2, 4, 0, 0, 1, 0, 2, 1, 1, 3, 3, 4, 2, 4, 4, 2, 4, 0, 4, 2, 1, 2, 0, 1, 4, 1, 1, 2, 2, 2, 1, 4, 4, 4, 4, 0, 4, 4, 3, 4, 4, 2, 4, 3, 2, 0, 1, 4, 1, 1, 2, 4, 3, 0, 2, 3, 4, 0, 2, 4, 3, 0, 4, 3, 4, 2, 4, 0, 1, 2, 0, 0, 4, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 3, 1, 3, 1, 1, 4, 0, 1, 4, 1, 0, 4, 4, 4, 4, 1, 1, 0, 3, 1, 4, 2, 3, 3, 3, 2] pubkeycol567 = [2, 4, 4, 4, 1, 2, 3, 1, 4, 3, 4, 1, 4, 2, 3, 2, 1, 0, 1, 0, 1, 4, 0, 4, 2, 3, 0, 0, 2, 0, 4, 2, 3, 1, 2, 4, 3, 4, 4, 3, 2, 2, 4, 3, 0, 4, 0, 4, 3, 2, 0, 4, 4, 0, 1, 2, 0, 2, 1, 3, 1, 3, 0, 4, 3, 1, 4, 3, 3, 4, 4, 4, 4, 2, 3, 0, 4, 1, 0, 0, 4, 3, 0, 4, 2, 1, 0, 0, 4, 3, 4, 4, 1, 0, 3, 4, 2, 1, 3, 4, 3, 1, 0, 1, 0, 1, 3, 3, 0, 3, 1, 1, 4, 0, 0, 0, 2, 2, 2, 1, 3, 1, 1, 0, 1, 0, 3, 2, 4, 0, 2, 0, 3, 0, 4, 3, 2, 1, 2, 2, 1, 4, 4, 1, 4, 0, 2, 3, 3, 0, 0, 3, 4, 4, 3, 3, 2, 3, 0, 2, 4, 4, 1, 3, 1, 2, 3, 0, 3, 3, 3, 4, 2, 0, 2, 2, 1, 2, 0, 2, 1, 4, 3, 0, 4, 0, 4, 0, 3, 3, 2, 4, 2, 3, 4, 2, 1, 2, 2, 4, 1, 2, 1, 1, 1, 1, 4, 2, 3, 1, 4, 0, 4, 1, 1, 0, 4, 2, 4, 3, 4, 4, 2, 1, 2, 2, 4, 1, 0, 0, 1, 4, 2, 3, 1, 3, 0, 2, 2, 3, 3, 0, 0, 1, 2, 4, 1, 0, 4, 4, 2, 0, 0, 1, 2, 4, 3, 2, 2, 2, 0, 0, 1, 4, 1, 2, 0, 2, 2, 4, 3, 1, 4, 1, 3, 4, 1, 4, 2, 3, 1, 0, 4, 0, 1, 1, 1, 3, 3, 4, 0, 4, 0, 1, 4, 1, 3, 3, 2, 3, 0, 4, 4, 3, 1, 4, 2, 1, 2, 0, 1, 1, 1, 0, 2, 3, 2, 0, 1, 4, 3, 2, 0, 1, 2, 4, 4, 2, 3, 2, 4, 3, 0, 2, 4, 0, 1, 4, 4, 4, 4, 2, 0, 0, 1, 4, 4, 4, 4, 4, 4, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 4, 4, 1, 1, 0, 0, 4, 0, 1, 3, 1, 3, 4, 3, 4, 0, 1, 3, 3, 1, 0, 0, 3, 3, 2, 1, 1, 4, 2, 4, 4, 3, 0, 3, 4, 2, 0, 2, 4] pubkeycol568 = [0, 3, 3, 4, 3, 3, 3, 4, 1, 2, 0, 4, 4, 4, 2, 2, 3, 1, 4, 1, 1, 1, 3, 2, 3, 4, 0, 1, 4, 4, 3, 1, 4, 0, 1, 3, 1, 3, 2, 4, 4, 3, 0, 3, 3, 2, 2, 0, 2, 1, 0, 1, 3, 3, 0, 1, 4, 2, 1, 1, 1, 2, 0, 2, 2, 3, 1, 3, 2, 3, 4, 2, 2, 4, 1, 3, 3, 3, 2, 3, 4, 2, 4, 4, 3, 0, 2, 3, 3, 1, 2, 4, 4, 3, 4, 1, 1, 3, 2, 2, 1, 1, 1, 1, 3, 3, 4, 1, 1, 4, 1, 3, 0, 0, 0, 4, 4, 0, 4, 2, 0, 1, 1, 0, 2, 4, 2, 2, 0, 3, 0, 2, 1, 1, 1, 2, 3, 1, 0, 3, 0, 4, 3, 3, 4, 3, 1, 0, 0, 4, 2, 0, 0, 0, 1, 4, 2, 4, 4, 0, 4, 2, 0, 4, 0, 0, 1, 0, 1, 1, 4, 3, 2, 2, 3, 2, 0, 0, 4, 4, 2, 1, 4, 1, 4, 4, 1, 4, 2, 0, 4, 1, 1, 1, 2, 3, 0, 1, 3, 0, 3, 4, 2, 3, 2, 3, 4, 0, 1, 3, 1, 3, 4, 4, 4, 2, 0, 2, 0, 4, 4, 2, 0, 2, 1, 0, 4, 0, 1, 0, 4, 3, 3, 4, 4, 1, 3, 1, 2, 1, 0, 2, 4, 2, 4, 2, 4, 0, 0, 1, 3, 0, 2, 2, 4, 4, 1, 2, 3, 0, 1, 0, 0, 3, 3, 4, 4, 1, 1, 1, 3, 4, 4, 4, 3, 1, 4, 2, 2, 1, 4, 0, 4, 4, 3, 2, 2, 3, 4, 3, 0, 3, 1, 4, 4, 3, 1, 2, 4, 0, 0, 3, 2, 4, 0, 3, 2, 1, 0, 2, 3, 1, 0, 2, 3, 4, 2, 2, 0, 1, 0, 0, 4, 1, 0, 2, 4, 1, 2, 0, 0, 3, 4, 1, 2, 1, 0, 2, 2, 4, 4, 1, 3, 4, 2, 1, 1, 4, 2, 0, 4, 0, 0, 3, 1, 4, 0, 4, 0, 1, 4, 2, 1, 4, 4, 0, 4, 4, 2, 2, 0, 2, 2, 3, 2, 0, 3, 2, 0, 0, 3, 2, 4, 2, 0, 3, 3, 3, 2, 2, 3, 2, 4, 2, 1, 0, 4, 4, 3, 2] pubkeycol569 = [4, 4, 3, 2, 3, 2, 4, 0, 4, 2, 4, 1, 1, 3, 4, 4, 3, 4, 1, 0, 2, 0, 4, 4, 3, 1, 2, 2, 1, 2, 3, 1, 2, 0, 1, 0, 0, 1, 3, 2, 2, 2, 4, 4, 0, 0, 4, 2, 0, 2, 2, 4, 1, 4, 1, 1, 4, 1, 1, 1, 0, 4, 3, 4, 0, 4, 2, 1, 4, 1, 1, 1, 3, 4, 0, 2, 2, 1, 0, 4, 2, 4, 4, 3, 0, 2, 1, 1, 3, 0, 1, 3, 1, 2, 2, 0, 2, 2, 4, 0, 1, 4, 0, 0, 0, 2, 2, 4, 3, 1, 3, 2, 0, 2, 2, 4, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 4, 2, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 4, 3, 1, 4, 4, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 2, 1, 3, 2, 4, 4, 0, 4, 4, 3, 3, 2, 1, 3, 4, 0, 3, 4, 4, 0, 1, 1, 3, 0, 3, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 3, 1, 1, 3, 4, 4, 0, 3, 4, 4, 3, 3, 4, 3, 3, 0, 0, 4, 0, 2, 0, 3, 4, 3, 3, 1, 2, 4, 3, 4, 2, 0, 0, 0, 2, 4, 0, 0, 4, 4, 0, 0, 2, 1, 4, 1, 0, 1, 0, 2, 3, 2, 4, 3, 3, 0, 3, 1, 3, 3, 2, 0, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 0, 4, 0, 2, 0, 2, 3, 3, 2, 2, 0, 0, 4, 2, 4, 0, 2, 4, 0, 2, 1, 2, 4, 4, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 4, 4, 2, 1, 3, 2, 1, 0, 0, 1, 3, 2, 2, 4, 0, 4, 0, 4, 1, 3, 0, 1, 2, 1, 0, 1, 3, 2, 1, 0, 3, 1, 1, 3, 3, 0, 1, 4, 0, 3, 0, 2, 2, 4, 0, 4, 3, 2, 3, 4, 4, 1, 4, 2, 2, 3, 1, 4, 1, 2, 3, 3, 0, 1, 3, 0, 3, 0, 0, 1, 4, 0, 3, 0, 3, 4, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 3, 3, 0, 3, 1, 0, 0, 4, 1, 2, 3, 0, 1, 4, 1, 2, 3] pubkeycol570 = [2, 2, 3, 3, 4, 3, 2, 0, 1, 0, 2, 2, 2, 3, 2, 0, 2, 1, 2, 4, 4, 0, 2, 4, 0, 2, 3, 4, 3, 4, 0, 3, 2, 0, 1, 4, 2, 1, 4, 0, 2, 3, 3, 1, 3, 0, 4, 0, 3, 2, 1, 4, 0, 1, 0, 1, 4, 4, 3, 0, 2, 1, 0, 0, 2, 4, 3, 1, 4, 0, 3, 2, 4, 2, 0, 1, 0, 3, 3, 3, 0, 1, 1, 2, 4, 3, 4, 3, 1, 4, 1, 4, 2, 3, 2, 2, 4, 0, 4, 2, 4, 0, 0, 0, 2, 1, 0, 1, 2, 3, 1, 1, 0, 2, 3, 1, 0, 2, 1, 2, 1, 4, 3, 2, 4, 2, 4, 2, 2, 2, 1, 4, 3, 0, 0, 0, 4, 2, 1, 2, 4, 4, 3, 4, 3, 0, 4, 4, 0, 2, 2, 3, 1, 4, 4, 4, 1, 0, 0, 3, 1, 4, 4, 2, 1, 3, 4, 1, 0, 2, 1, 4, 1, 0, 4, 3, 1, 2, 3, 0, 2, 2, 1, 2, 2, 3, 0, 0, 4, 4, 1, 2, 4, 3, 4, 2, 3, 4, 0, 1, 1, 4, 4, 0, 0, 1, 0, 3, 1, 2, 1, 4, 2, 4, 4, 1, 1, 4, 2, 0, 4, 3, 3, 3, 0, 2, 4, 3, 0, 3, 2, 0, 3, 2, 4, 2, 1, 3, 3, 4, 1, 3, 1, 4, 3, 0, 3, 0, 4, 4, 2, 1, 3, 4, 4, 3, 1, 1, 0, 4, 4, 2, 1, 4, 4, 3, 2, 3, 2, 1, 2, 3, 4, 0, 3, 4, 4, 1, 1, 4, 2, 2, 2, 3, 1, 4, 4, 1, 1, 2, 1, 4, 3, 3, 3, 4, 3, 0, 4, 1, 1, 4, 2, 1, 4, 1, 0, 0, 1, 2, 4, 0, 3, 3, 1, 1, 0, 1, 4, 4, 1, 3, 4, 1, 2, 0, 1, 4, 4, 1, 0, 3, 0, 4, 1, 2, 2, 1, 0, 2, 2, 3, 4, 1, 0, 3, 1, 4, 4, 0, 1, 0, 2, 2, 4, 2, 2, 4, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 3, 1, 4, 4, 0, 4, 4, 0, 3, 0, 4, 2, 0, 1, 0, 2, 3, 0, 4, 0, 0, 2, 4, 0, 3, 2, 1, 3, 2, 0, 1, 3] pubkeycol571 = [0, 3, 4, 3, 3, 4, 4, 3, 1, 0, 0, 0, 4, 2, 1, 0, 4, 4, 2, 1, 2, 4, 1, 3, 0, 1, 3, 4, 0, 0, 3, 0, 2, 3, 0, 0, 3, 3, 1, 3, 4, 1, 3, 0, 2, 0, 1, 2, 3, 4, 1, 4, 0, 2, 1, 0, 3, 4, 4, 3, 2, 2, 2, 2, 1, 3, 2, 4, 1, 0, 4, 2, 4, 4, 2, 1, 2, 4, 0, 1, 0, 4, 2, 1, 0, 0, 3, 1, 3, 3, 0, 0, 0, 1, 1, 3, 0, 2, 3, 4, 1, 1, 0, 2, 4, 3, 3, 3, 2, 2, 1, 4, 0, 2, 0, 4, 4, 2, 2, 4, 0, 0, 0, 2, 3, 2, 1, 2, 2, 0, 1, 1, 4, 4, 4, 3, 3, 1, 1, 1, 3, 3, 3, 2, 1, 1, 2, 1, 3, 3, 1, 4, 0, 3, 2, 1, 0, 0, 2, 4, 0, 3, 3, 4, 3, 2, 4, 3, 2, 4, 4, 4, 2, 4, 0, 2, 2, 1, 3, 0, 2, 0, 3, 1, 4, 0, 0, 2, 2, 3, 3, 1, 1, 4, 0, 0, 0, 4, 4, 0, 3, 1, 0, 3, 3, 2, 2, 2, 4, 1, 4, 0, 3, 1, 1, 3, 2, 1, 1, 3, 0, 4, 1, 4, 0, 4, 1, 1, 1, 2, 3, 1, 0, 4, 0, 3, 4, 0, 3, 0, 0, 4, 3, 3, 1, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 0, 1, 1, 0, 4, 0, 1, 4, 0, 2, 1, 2, 0, 0, 4, 3, 3, 4, 1, 4, 0, 4, 0, 2, 0, 3, 1, 3, 4, 0, 0, 1, 0, 3, 0, 3, 4, 2, 3, 1, 2, 2, 4, 3, 1, 1, 2, 1, 3, 3, 3, 2, 0, 4, 4, 0, 3, 2, 4, 4, 3, 1, 4, 4, 4, 4, 2, 3, 4, 0, 2, 2, 1, 2, 2, 0, 4, 0, 0, 3, 4, 4, 4, 1, 4, 2, 2, 2, 0, 4, 1, 0, 3, 0, 3, 2, 4, 1, 1, 0, 3, 4, 4, 3, 2, 0, 1, 3, 4, 2, 1, 1, 3, 2, 3, 4, 1, 2, 3, 3, 4, 2, 4, 4, 3, 0, 3, 2, 4, 3, 2, 2, 3, 1, 2, 3, 2, 0, 1, 2, 3, 3, 1, 4, 0] pubkeycol572 = [0, 0, 3, 2, 0, 4, 1, 4, 3, 4, 4, 0, 2, 2, 1, 4, 0, 3, 3, 4, 4, 3, 3, 4, 2, 0, 2, 4, 0, 3, 1, 2, 1, 3, 0, 1, 3, 4, 0, 2, 3, 2, 2, 1, 1, 4, 0, 0, 1, 4, 3, 3, 1, 2, 2, 0, 4, 3, 3, 0, 2, 1, 3, 4, 0, 2, 4, 4, 3, 4, 0, 0, 0, 3, 2, 2, 2, 0, 4, 1, 1, 0, 4, 4, 2, 0, 0, 4, 1, 1, 4, 4, 3, 3, 0, 4, 2, 2, 0, 0, 2, 3, 4, 0, 4, 3, 3, 0, 0, 3, 1, 1, 3, 2, 1, 0, 4, 2, 1, 4, 1, 4, 0, 3, 4, 0, 0, 0, 3, 0, 2, 1, 1, 4, 0, 2, 4, 1, 3, 4, 1, 3, 3, 0, 0, 0, 4, 3, 2, 0, 2, 2, 3, 4, 3, 1, 1, 2, 3, 3, 2, 3, 0, 4, 4, 2, 3, 4, 4, 1, 1, 4, 4, 4, 1, 0, 1, 3, 0, 3, 0, 4, 1, 1, 1, 4, 3, 3, 3, 2, 4, 2, 4, 2, 2, 1, 0, 2, 0, 3, 1, 3, 2, 0, 1, 2, 3, 4, 2, 4, 4, 3, 2, 2, 0, 4, 4, 3, 2, 3, 4, 0, 3, 1, 0, 2, 4, 2, 0, 1, 0, 0, 3, 2, 1, 3, 2, 0, 3, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 2, 1, 4, 4, 3, 2, 0, 4, 2, 1, 4, 0, 0, 3, 3, 3, 2, 3, 0, 3, 1, 4, 2, 4, 4, 2, 1, 4, 2, 2, 3, 3, 0, 3, 1, 4, 0, 0, 0, 1, 2, 3, 3, 2, 1, 3, 1, 3, 3, 1, 4, 3, 0, 0, 0, 0, 1, 2, 2, 4, 4, 2, 1, 2, 1, 0, 4, 1, 1, 0, 3, 1, 3, 3, 2, 2, 0, 1, 3, 0, 3, 0, 2, 1, 2, 4, 1, 4, 4, 2, 0, 3, 0, 0, 3, 1, 0, 3, 3, 1, 0, 2, 2, 2, 1, 4, 2, 0, 3, 0, 0, 0, 1, 2, 4, 0, 3, 4, 4, 3, 0, 3, 4, 0, 2, 1, 0, 4, 1, 4, 0, 2, 4, 4, 3, 3, 1, 3, 2, 4, 1, 1, 4, 4, 1, 4, 0, 1, 3, 1, 1] pubkeycol573 = [2, 2, 0, 3, 2, 2, 0, 1, 1, 1, 1, 3, 2, 3, 4, 4, 4, 4, 2, 3, 2, 0, 1, 4, 4, 4, 3, 1, 2, 2, 3, 2, 0, 2, 4, 3, 4, 3, 1, 0, 4, 2, 2, 0, 2, 1, 3, 1, 2, 0, 4, 4, 2, 2, 4, 0, 1, 3, 4, 1, 1, 1, 3, 2, 4, 2, 1, 3, 0, 4, 2, 2, 2, 2, 0, 4, 1, 1, 4, 0, 4, 0, 4, 2, 0, 4, 1, 1, 4, 3, 3, 0, 3, 2, 3, 4, 3, 1, 1, 0, 3, 2, 0, 3, 2, 4, 3, 1, 3, 1, 2, 1, 4, 3, 3, 2, 3, 3, 3, 1, 4, 0, 3, 3, 4, 1, 4, 1, 4, 0, 1, 2, 1, 4, 3, 4, 4, 3, 2, 1, 1, 4, 1, 4, 0, 1, 2, 4, 2, 2, 0, 0, 0, 2, 0, 3, 2, 4, 4, 0, 4, 4, 2, 1, 4, 3, 3, 0, 2, 1, 0, 2, 3, 4, 2, 0, 2, 3, 0, 4, 4, 2, 0, 2, 2, 4, 4, 0, 4, 1, 3, 3, 2, 2, 0, 2, 1, 2, 2, 3, 3, 4, 0, 2, 3, 4, 1, 2, 4, 1, 1, 0, 0, 1, 3, 2, 2, 3, 1, 4, 3, 4, 1, 2, 1, 0, 3, 4, 0, 0, 0, 1, 1, 3, 3, 1, 4, 4, 4, 0, 4, 1, 0, 0, 1, 0, 0, 2, 0, 4, 3, 3, 2, 0, 3, 4, 3, 0, 0, 1, 0, 2, 2, 0, 4, 1, 4, 0, 2, 1, 1, 3, 3, 3, 1, 3, 3, 0, 3, 1, 2, 1, 0, 1, 0, 1, 0, 1, 3, 1, 2, 3, 1, 1, 4, 2, 0, 0, 3, 3, 3, 3, 2, 1, 0, 3, 4, 3, 2, 4, 2, 3, 3, 2, 3, 3, 0, 3, 1, 4, 4, 2, 2, 4, 0, 3, 0, 1, 1, 3, 1, 4, 1, 2, 3, 1, 2, 4, 3, 2, 2, 3, 0, 3, 3, 1, 4, 4, 0, 3, 2, 0, 3, 4, 2, 3, 0, 4, 4, 1, 3, 2, 2, 2, 3, 4, 3, 4, 2, 4, 0, 0, 0, 2, 2, 3, 0, 3, 1, 0, 2, 3, 0, 3, 0, 2, 1, 2, 4, 0, 3, 1, 0, 0, 2, 4, 3, 1, 0, 0] pubkeycol574 = [4, 0, 1, 4, 0, 3, 4, 4, 1, 3, 3, 1, 2, 1, 0, 1, 4, 0, 3, 1, 3, 1, 2, 2, 0, 2, 3, 1, 1, 2, 2, 4, 2, 1, 0, 3, 1, 3, 1, 3, 4, 1, 0, 2, 0, 0, 4, 3, 3, 4, 0, 4, 2, 0, 4, 0, 1, 1, 3, 4, 2, 0, 2, 1, 3, 4, 4, 2, 3, 4, 3, 0, 0, 3, 1, 4, 4, 1, 2, 0, 1, 4, 4, 3, 0, 1, 3, 0, 0, 3, 2, 3, 4, 4, 2, 0, 1, 3, 3, 1, 3, 0, 3, 3, 4, 0, 3, 1, 3, 2, 3, 4, 3, 1, 0, 0, 3, 3, 2, 2, 2, 4, 0, 0, 1, 2, 2, 1, 0, 4, 2, 3, 1, 1, 1, 3, 2, 2, 0, 4, 3, 3, 2, 0, 1, 2, 0, 2, 2, 4, 0, 2, 4, 3, 3, 2, 3, 2, 2, 4, 3, 0, 3, 1, 0, 0, 3, 4, 4, 2, 0, 3, 1, 0, 3, 0, 1, 0, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 0, 3, 0, 1, 1, 4, 2, 2, 2, 3, 3, 4, 1, 2, 4, 3, 0, 2, 0, 3, 3, 4, 2, 2, 0, 4, 4, 3, 4, 0, 4, 3, 1, 4, 2, 1, 3, 4, 4, 1, 1, 2, 0, 4, 1, 4, 3, 2, 2, 3, 3, 0, 2, 3, 4, 1, 4, 1, 0, 1, 2, 4, 3, 4, 0, 2, 1, 2, 1, 1, 4, 0, 0, 0, 3, 2, 4, 1, 0, 1, 0, 2, 0, 4, 0, 4, 1, 1, 1, 0, 1, 0, 4, 4, 1, 2, 0, 4, 2, 0, 3, 1, 0, 2, 4, 0, 3, 2, 2, 2, 4, 1, 4, 0, 0, 4, 4, 1, 0, 4, 2, 1, 4, 2, 3, 2, 4, 3, 2, 2, 1, 4, 0, 4, 4, 3, 1, 0, 4, 3, 4, 4, 0, 0, 4, 3, 2, 1, 1, 4, 0, 3, 0, 3, 2, 0, 0, 3, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 4, 1, 3, 1, 0, 0, 4, 2, 4, 0, 2, 2, 1, 2, 2, 3, 1, 2, 2, 3, 1, 4, 2, 3, 0, 3, 1, 2, 4, 4, 4, 0, 0, 1, 3, 0, 4, 4, 3, 4, 3, 0, 2] pubkeycol575 = [2, 1, 4, 3, 1, 4, 4, 0, 3, 1, 1, 4, 3, 3, 2, 4, 1, 1, 2, 0, 0, 1, 3, 4, 3, 3, 2, 2, 4, 1, 2, 2, 4, 3, 3, 1, 0, 4, 1, 1, 1, 1, 2, 1, 3, 4, 1, 4, 4, 3, 3, 4, 4, 1, 4, 2, 4, 0, 2, 2, 2, 4, 0, 2, 0, 2, 0, 3, 2, 2, 2, 1, 4, 3, 1, 1, 0, 4, 2, 1, 1, 0, 3, 0, 2, 0, 1, 2, 2, 1, 0, 1, 3, 4, 2, 1, 1, 3, 0, 4, 4, 3, 2, 1, 1, 2, 4, 2, 1, 0, 1, 2, 1, 0, 0, 4, 4, 0, 0, 1, 4, 0, 1, 1, 0, 2, 3, 0, 1, 1, 2, 2, 1, 4, 1, 1, 3, 3, 1, 2, 3, 1, 4, 2, 0, 4, 2, 3, 4, 2, 1, 1, 0, 3, 2, 1, 2, 0, 4, 1, 4, 2, 1, 0, 2, 1, 3, 2, 1, 2, 4, 4, 3, 2, 3, 2, 0, 0, 4, 4, 4, 1, 4, 1, 2, 4, 1, 1, 0, 3, 3, 4, 1, 3, 4, 1, 3, 0, 2, 0, 4, 3, 4, 0, 1, 3, 2, 1, 3, 3, 1, 1, 3, 3, 3, 4, 0, 3, 4, 4, 2, 1, 2, 2, 0, 3, 2, 3, 1, 1, 3, 0, 3, 4, 3, 2, 3, 4, 3, 0, 2, 0, 1, 4, 2, 3, 2, 3, 1, 4, 1, 0, 1, 3, 4, 0, 0, 4, 1, 4, 3, 0, 3, 1, 4, 3, 3, 4, 1, 3, 4, 4, 1, 1, 0, 3, 3, 2, 4, 3, 4, 3, 4, 1, 4, 0, 1, 1, 1, 1, 2, 2, 4, 0, 2, 4, 2, 4, 3, 0, 2, 1, 4, 1, 0, 3, 4, 0, 2, 0, 4, 4, 3, 3, 1, 2, 3, 4, 4, 2, 1, 1, 2, 0, 2, 3, 2, 3, 4, 0, 4, 2, 4, 3, 1, 1, 1, 4, 4, 0, 2, 0, 1, 4, 3, 3, 0, 1, 1, 1, 0, 2, 4, 4, 4, 3, 0, 3, 3, 2, 2, 4, 2, 4, 1, 2, 1, 3, 4, 0, 4, 1, 4, 1, 0, 2, 1, 3, 1, 1, 4, 1, 1, 0, 4, 1, 3, 3, 4, 2, 2, 1, 2, 2, 4, 2, 3, 4, 3, 1] pubkeycol576 = [2, 3, 2, 0, 1, 4, 1, 3, 2, 4, 1, 0, 1, 1, 2, 1, 0, 3, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 3, 1, 4, 1, 1, 4, 0, 1, 3, 4, 3, 2, 2, 2, 1, 0, 0, 3, 0, 1, 3, 2, 4, 2, 3, 3, 1, 2, 0, 4, 1, 4, 3, 2, 1, 0, 2, 1, 4, 1, 3, 3, 1, 4, 4, 4, 3, 1, 2, 2, 1, 1, 1, 3, 4, 0, 1, 0, 0, 0, 0, 2, 1, 3, 3, 0, 3, 1, 4, 0, 4, 3, 2, 4, 1, 0, 3, 3, 4, 4, 3, 3, 0, 4, 4, 2, 4, 4, 3, 1, 1, 0, 1, 1, 1, 3, 2, 2, 0, 3, 0, 4, 0, 3, 4, 2, 4, 0, 1, 0, 3, 3, 3, 3, 3, 1, 1, 2, 1, 4, 2, 2, 2, 2, 4, 4, 4, 1, 3, 3, 2, 1, 0, 0, 2, 2, 4, 1, 2, 0, 3, 0, 1, 1, 2, 4, 3, 3, 2, 2, 1, 1, 4, 2, 4, 3, 3, 3, 2, 0, 1, 0, 2, 4, 0, 0, 0, 3, 2, 1, 2, 3, 3, 4, 2, 1, 0, 4, 0, 4, 4, 1, 1, 2, 2, 4, 3, 2, 1, 4, 2, 2, 4, 4, 2, 0, 3, 2, 3, 4, 3, 2, 0, 2, 2, 3, 3, 1, 0, 0, 0, 4, 1, 3, 3, 1, 0, 0, 2, 2, 0, 0, 3, 4, 4, 2, 1, 1, 3, 4, 0, 2, 0, 3, 4, 1, 4, 0, 1, 4, 1, 3, 4, 3, 4, 0, 2, 2, 1, 3, 1, 1, 4, 3, 1, 0, 1, 1, 1, 3, 1, 4, 0, 3, 4, 0, 1, 3, 2, 1, 3, 4, 4, 0, 3, 3, 1, 3, 1, 1, 0, 3, 2, 4, 0, 1, 4, 3, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 3, 1, 1, 0, 4, 4, 4, 0, 4, 3, 0, 1, 0, 0, 4, 0, 4, 4, 4, 0, 4, 2, 3, 2, 4, 1, 3, 0, 2, 0, 0, 4, 0, 0, 4, 3, 0, 3, 4, 0, 1, 1, 4, 1, 4, 2, 2, 4, 1, 4, 4, 0, 2, 0, 2, 4, 4, 2, 1, 3, 3, 0, 0, 3, 0, 0, 4, 3, 2] pubkeycol577 = [4, 0, 0, 3, 3, 4, 4, 0, 4, 3, 4, 3, 3, 0, 3, 3, 3, 4, 1, 0, 0, 4, 2, 0, 4, 4, 2, 4, 4, 4, 3, 1, 3, 2, 1, 3, 0, 3, 1, 1, 3, 1, 3, 1, 3, 2, 4, 2, 4, 2, 4, 0, 1, 2, 3, 3, 0, 0, 3, 4, 0, 2, 4, 4, 4, 1, 4, 2, 2, 4, 2, 1, 4, 0, 3, 3, 0, 1, 3, 4, 2, 2, 4, 2, 1, 3, 1, 4, 4, 3, 1, 4, 1, 0, 2, 1, 1, 4, 2, 2, 3, 3, 4, 1, 2, 4, 1, 4, 3, 0, 3, 4, 4, 4, 3, 3, 4, 2, 3, 3, 2, 4, 2, 2, 2, 4, 0, 1, 3, 0, 2, 4, 2, 4, 4, 1, 0, 3, 2, 0, 2, 2, 1, 4, 1, 4, 1, 1, 1, 2, 0, 4, 3, 1, 2, 3, 4, 1, 0, 0, 2, 3, 3, 4, 1, 2, 2, 4, 3, 0, 3, 1, 2, 3, 4, 2, 1, 2, 1, 3, 3, 2, 3, 4, 0, 1, 0, 1, 0, 1, 3, 0, 4, 3, 4, 4, 4, 0, 3, 1, 3, 1, 3, 3, 2, 2, 1, 1, 1, 3, 2, 4, 3, 3, 3, 1, 4, 3, 4, 1, 1, 2, 0, 1, 3, 1, 2, 4, 3, 0, 1, 4, 0, 4, 0, 1, 4, 1, 0, 3, 3, 0, 3, 3, 4, 2, 1, 3, 2, 3, 1, 1, 2, 0, 1, 4, 2, 3, 1, 4, 1, 3, 1, 1, 3, 3, 3, 1, 3, 1, 2, 1, 2, 1, 1, 4, 0, 1, 4, 3, 2, 1, 3, 3, 3, 4, 0, 4, 3, 1, 2, 0, 4, 3, 2, 0, 3, 0, 0, 0, 0, 0, 4, 2, 3, 1, 2, 2, 0, 1, 2, 1, 3, 2, 1, 4, 4, 4, 2, 3, 2, 3, 4, 3, 3, 1, 2, 2, 2, 3, 4, 2, 3, 1, 0, 3, 0, 2, 3, 1, 3, 4, 0, 1, 3, 0, 3, 3, 1, 2, 2, 2, 3, 3, 4, 4, 3, 2, 3, 3, 0, 1, 4, 3, 0, 0, 1, 4, 0, 0, 2, 2, 3, 4, 3, 4, 1, 4, 0, 2, 3, 0, 1, 4, 1, 1, 1, 0, 1, 4, 3, 0, 0, 3, 2, 3, 1, 4, 3, 1] pubkeycol578 = [1, 2, 2, 1, 2, 1, 3, 4, 4, 0, 3, 4, 1, 4, 0, 3, 4, 4, 4, 2, 3, 2, 2, 1, 4, 1, 1, 4, 4, 3, 2, 1, 3, 3, 2, 2, 0, 3, 0, 1, 1, 2, 2, 3, 2, 4, 2, 0, 1, 3, 1, 2, 0, 2, 1, 0, 2, 3, 4, 2, 1, 4, 0, 4, 1, 4, 1, 0, 2, 1, 4, 4, 2, 3, 0, 2, 2, 4, 3, 0, 4, 0, 1, 3, 3, 0, 3, 0, 4, 0, 4, 1, 4, 0, 4, 0, 4, 1, 3, 1, 4, 0, 1, 4, 0, 4, 3, 3, 1, 2, 1, 1, 0, 4, 4, 2, 0, 0, 3, 1, 3, 0, 3, 1, 0, 4, 2, 4, 4, 4, 4, 0, 0, 3, 0, 3, 1, 3, 1, 1, 2, 2, 4, 3, 2, 4, 3, 4, 0, 0, 1, 4, 3, 3, 4, 4, 0, 1, 0, 0, 1, 1, 1, 1, 4, 2, 2, 4, 3, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 3, 0, 4, 3, 2, 2, 2, 0, 3, 3, 4, 2, 1, 2, 0, 3, 3, 0, 0, 2, 3, 0, 1, 2, 4, 1, 4, 2, 1, 1, 4, 4, 2, 1, 3, 1, 1, 3, 0, 3, 4, 4, 0, 1, 2, 4, 0, 4, 3, 4, 2, 4, 3, 2, 1, 3, 1, 4, 0, 3, 3, 2, 3, 3, 3, 2, 2, 1, 1, 2, 1, 0, 3, 3, 4, 0, 0, 3, 3, 2, 2, 4, 4, 2, 0, 3, 0, 4, 3, 2, 1, 1, 0, 4, 0, 3, 0, 0, 1, 4, 0, 2, 2, 4, 4, 3, 3, 3, 1, 1, 2, 4, 0, 4, 0, 4, 1, 1, 0, 3, 2, 1, 3, 0, 2, 1, 4, 2, 1, 1, 2, 3, 4, 2, 2, 3, 4, 3, 0, 1, 4, 1, 2, 4, 2, 0, 3, 3, 2, 1, 1, 4, 4, 3, 2, 1, 1, 3, 3, 4, 0, 1, 2, 0, 3, 1, 0, 0, 0, 2, 0, 4, 4, 2, 1, 4, 0, 1, 0, 3, 4, 3, 0, 0, 0, 1, 2, 0, 0, 3, 2, 4, 4, 3, 0, 4, 0, 4, 0, 1, 3, 3, 4, 2, 2, 3, 0, 4, 4, 3, 2, 2, 4, 4, 4, 3, 3, 3, 0, 3] pubkeycol579 = [2, 1, 2, 2, 0, 4, 3, 2, 0, 4, 4, 2, 0, 2, 3, 4, 0, 4, 2, 0, 3, 2, 1, 3, 1, 0, 4, 3, 1, 1, 0, 3, 1, 3, 1, 3, 4, 2, 2, 4, 1, 0, 4, 2, 0, 1, 4, 4, 2, 1, 4, 1, 0, 1, 0, 4, 2, 2, 4, 4, 0, 2, 1, 1, 2, 3, 3, 1, 4, 3, 0, 4, 0, 0, 3, 1, 1, 2, 2, 0, 0, 3, 3, 4, 4, 2, 4, 1, 0, 4, 1, 2, 4, 3, 2, 1, 0, 4, 3, 4, 1, 3, 2, 3, 4, 1, 2, 1, 2, 0, 2, 1, 4, 1, 4, 4, 4, 3, 3, 1, 0, 2, 3, 0, 4, 4, 4, 0, 4, 2, 1, 1, 1, 4, 2, 2, 4, 0, 0, 3, 4, 4, 1, 1, 2, 4, 3, 3, 3, 0, 4, 4, 2, 2, 2, 1, 0, 4, 1, 3, 1, 4, 4, 3, 0, 0, 3, 3, 0, 3, 4, 0, 3, 3, 0, 4, 3, 0, 2, 0, 0, 3, 4, 2, 0, 0, 0, 0, 4, 3, 1, 4, 4, 2, 4, 1, 4, 1, 0, 4, 1, 0, 1, 3, 3, 0, 2, 2, 3, 3, 1, 4, 3, 3, 0, 0, 4, 4, 2, 4, 3, 1, 4, 2, 0, 3, 2, 0, 3, 3, 1, 1, 4, 2, 2, 0, 1, 3, 2, 0, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 1, 1, 0, 0, 1, 2, 4, 0, 0, 1, 0, 2, 2, 3, 0, 2, 4, 2, 3, 1, 4, 4, 4, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 0, 4, 4, 1, 0, 4, 2, 1, 2, 4, 0, 4, 0, 4, 4, 2, 1, 2, 0, 0, 3, 2, 3, 4, 1, 4, 4, 1, 2, 4, 0, 0, 1, 4, 0, 3, 0, 1, 1, 2, 4, 0, 4, 2, 0, 2, 1, 1, 0, 2, 3, 0, 4, 2, 2, 0, 3, 2, 2, 2, 4, 1, 1, 0, 3, 3, 4, 4, 1, 0, 3, 4, 3, 0, 0, 2, 0, 1, 0, 4, 3, 3, 0, 3, 2, 4, 2, 4, 4, 1, 2, 2, 3, 3, 4, 1, 3, 4, 4, 1, 0, 2, 2, 1, 1, 1, 4, 2] pubkeycol580 = [2, 0, 4, 3, 1, 2, 3, 1, 4, 4, 1, 0, 2, 0, 2, 0, 1, 3, 4, 2, 3, 4, 1, 1, 4, 1, 3, 0, 1, 2, 2, 1, 1, 2, 4, 2, 3, 0, 2, 2, 1, 0, 1, 4, 3, 2, 0, 1, 1, 3, 2, 1, 2, 2, 4, 4, 2, 0, 0, 3, 1, 1, 3, 0, 1, 0, 1, 2, 3, 4, 4, 1, 1, 3, 4, 1, 3, 1, 0, 0, 1, 4, 1, 2, 1, 2, 1, 0, 2, 4, 3, 1, 0, 1, 4, 4, 2, 0, 4, 3, 0, 2, 4, 3, 4, 1, 2, 1, 4, 3, 2, 4, 4, 2, 4, 4, 4, 3, 2, 2, 1, 2, 2, 4, 3, 1, 4, 0, 3, 3, 2, 2, 0, 0, 4, 3, 1, 4, 3, 4, 4, 2, 0, 3, 3, 4, 1, 3, 3, 2, 1, 1, 2, 4, 2, 3, 2, 3, 3, 2, 3, 4, 0, 0, 3, 1, 0, 3, 2, 2, 1, 4, 1, 2, 0, 2, 3, 2, 3, 3, 3, 2, 4, 1, 4, 3, 4, 4, 1, 1, 3, 2, 0, 3, 4, 1, 2, 0, 0, 3, 0, 4, 4, 4, 3, 3, 4, 3, 2, 4, 4, 2, 2, 2, 3, 1, 2, 3, 3, 4, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 4, 2, 4, 0, 0, 3, 4, 0, 1, 2, 1, 4, 1, 4, 3, 4, 2, 1, 3, 2, 3, 2, 4, 0, 1, 3, 4, 1, 4, 4, 4, 3, 3, 3, 2, 0, 0, 0, 3, 2, 1, 1, 0, 0, 4, 0, 3, 2, 4, 4, 4, 2, 2, 4, 0, 3, 0, 3, 0, 2, 2, 2, 3, 3, 3, 0, 2, 3, 4, 4, 4, 0, 3, 1, 4, 0, 3, 3, 4, 2, 0, 1, 4, 3, 3, 3, 4, 3, 0, 0, 3, 4, 4, 4, 2, 4, 1, 1, 2, 0, 3, 0, 2, 2, 0, 1, 3, 1, 1, 2, 0, 2, 0, 0, 3, 2, 4, 0, 3, 3, 0, 4, 4, 2, 4, 1, 0, 4, 1, 3, 4, 1, 3, 0, 2, 3, 1, 4, 2, 3, 0, 2, 2, 3, 0, 2, 1, 1, 0, 4, 3, 2, 3, 2, 0, 3, 1, 3, 3, 0, 1, 0, 3, 1, 4, 2, 2, 3, 2] pubkeycol581 = [3, 2, 1, 3, 0, 2, 1, 4, 2, 4, 2, 2, 2, 1, 0, 0, 3, 4, 3, 1, 2, 3, 3, 0, 0, 4, 2, 0, 0, 0, 4, 1, 3, 0, 2, 3, 3, 0, 1, 2, 4, 0, 4, 2, 0, 3, 4, 0, 4, 1, 1, 2, 4, 3, 4, 4, 3, 4, 1, 2, 3, 0, 4, 4, 0, 2, 1, 1, 3, 1, 0, 3, 1, 1, 4, 2, 2, 0, 4, 2, 1, 4, 2, 1, 4, 2, 0, 4, 1, 2, 2, 0, 2, 1, 0, 3, 1, 1, 4, 1, 4, 4, 4, 1, 0, 4, 1, 0, 4, 0, 2, 3, 2, 3, 2, 0, 4, 2, 3, 1, 1, 3, 4, 4, 4, 1, 2, 3, 1, 2, 2, 3, 1, 2, 4, 1, 2, 3, 2, 1, 1, 2, 0, 2, 4, 0, 1, 2, 2, 1, 4, 2, 0, 2, 4, 1, 0, 0, 4, 2, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 2, 4, 4, 0, 3, 4, 2, 4, 3, 3, 4, 3, 4, 2, 3, 1, 2, 2, 4, 0, 2, 3, 1, 4, 1, 3, 0, 1, 3, 4, 0, 1, 4, 2, 3, 1, 4, 0, 1, 2, 3, 1, 1, 3, 0, 0, 3, 2, 1, 4, 3, 2, 2, 0, 1, 0, 4, 0, 4, 3, 2, 1, 0, 2, 0, 0, 1, 0, 3, 2, 1, 0, 2, 3, 0, 3, 4, 2, 3, 2, 3, 2, 2, 3, 0, 3, 2, 3, 4, 3, 3, 0, 2, 0, 3, 2, 2, 2, 1, 1, 3, 1, 0, 1, 2, 2, 3, 3, 3, 3, 2, 1, 0, 0, 4, 4, 3, 4, 1, 1, 4, 2, 4, 0, 2, 0, 0, 3, 2, 3, 1, 2, 2, 1, 3, 1, 2, 1, 0, 0, 1, 0, 3, 4, 0, 1, 4, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 3, 2, 2, 4, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 3, 3, 2, 2, 2, 3, 3, 2, 1, 4, 3, 3, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 4, 3, 2, 3, 1, 3, 4, 3, 1, 4, 3, 3, 0, 2, 3, 3, 2, 1, 4, 0, 4, 0, 1, 1, 3, 3, 2, 4, 3, 4, 2, 1] pubkeycol582 = [2, 2, 4, 4, 1, 1, 3, 0, 4, 0, 1, 4, 4, 4, 2, 0, 0, 2, 4, 1, 3, 2, 3, 4, 1, 1, 4, 3, 0, 1, 4, 4, 4, 1, 1, 4, 3, 4, 0, 0, 1, 2, 0, 1, 4, 0, 4, 0, 4, 0, 3, 2, 1, 4, 0, 2, 4, 2, 0, 0, 0, 1, 2, 4, 3, 2, 1, 3, 3, 2, 0, 4, 3, 1, 3, 3, 4, 3, 0, 0, 3, 0, 0, 1, 2, 1, 3, 0, 2, 4, 1, 3, 4, 3, 4, 4, 2, 0, 3, 4, 1, 2, 3, 4, 3, 0, 2, 1, 0, 4, 1, 3, 1, 1, 2, 0, 2, 0, 3, 1, 1, 3, 0, 0, 4, 2, 0, 0, 4, 3, 3, 4, 0, 4, 4, 3, 1, 0, 3, 2, 1, 3, 0, 3, 3, 3, 3, 4, 0, 4, 3, 0, 1, 0, 4, 2, 1, 0, 4, 2, 3, 3, 1, 4, 3, 0, 0, 2, 4, 0, 1, 0, 1, 3, 3, 2, 1, 2, 4, 2, 0, 3, 3, 4, 1, 2, 1, 2, 3, 3, 1, 2, 2, 1, 3, 4, 2, 1, 1, 1, 4, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 4, 4, 3, 1, 4, 0, 1, 2, 2, 4, 4, 4, 2, 3, 1, 3, 4, 2, 0, 0, 1, 2, 3, 0, 3, 1, 4, 3, 3, 1, 4, 3, 0, 2, 3, 4, 4, 3, 4, 0, 4, 4, 0, 0, 2, 0, 1, 1, 4, 0, 0, 3, 3, 2, 1, 4, 0, 2, 4, 0, 1, 2, 0, 0, 3, 4, 2, 2, 3, 3, 0, 0, 4, 3, 3, 3, 4, 4, 0, 4, 1, 0, 4, 1, 2, 0, 0, 3, 3, 3, 2, 0, 0, 1, 0, 2, 2, 1, 4, 1, 1, 1, 0, 4, 0, 3, 3, 3, 4, 1, 4, 4, 4, 2, 0, 0, 4, 1, 4, 0, 4, 4, 1, 1, 0, 1, 0, 4, 3, 1, 4, 0, 2, 0, 0, 2, 4, 3, 0, 3, 0, 2, 2, 2, 3, 3, 3, 4, 3, 0, 1, 1, 1, 2, 0, 4, 2, 2, 2, 4, 2, 1, 0, 3, 4, 2, 4, 4, 3, 1, 3, 0, 4, 2, 4, 2, 1, 3, 3, 4, 4, 3, 3, 0] pubkeycol583 = [1, 2, 2, 1, 1, 3, 4, 3, 0, 2, 3, 0, 0, 3, 3, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 3, 3, 4, 4, 2, 3, 3, 1, 3, 1, 1, 3, 3, 4, 1, 3, 1, 3, 1, 3, 3, 1, 2, 0, 3, 1, 3, 2, 0, 1, 2, 1, 1, 0, 4, 2, 0, 4, 4, 2, 3, 2, 4, 0, 2, 2, 4, 3, 1, 0, 3, 2, 3, 1, 3, 3, 2, 2, 4, 3, 1, 4, 2, 3, 3, 1, 2, 1, 1, 3, 0, 4, 0, 3, 2, 0, 4, 2, 0, 1, 3, 4, 2, 1, 2, 0, 4, 2, 4, 0, 4, 3, 4, 0, 4, 1, 4, 1, 3, 1, 1, 0, 2, 3, 2, 4, 1, 0, 3, 1, 3, 1, 4, 1, 3, 1, 2, 0, 1, 2, 0, 1, 4, 2, 3, 3, 4, 4, 1, 2, 0, 4, 1, 1, 4, 1, 4, 3, 3, 3, 1, 1, 2, 0, 3, 1, 4, 3, 3, 1, 4, 4, 2, 0, 3, 2, 2, 1, 3, 3, 3, 2, 3, 2, 2, 2, 2, 4, 2, 1, 4, 1, 1, 2, 0, 1, 4, 1, 1, 3, 3, 2, 1, 3, 4, 2, 1, 0, 1, 3, 3, 0, 2, 3, 0, 4, 0, 3, 0, 0, 2, 2, 3, 0, 4, 2, 3, 2, 1, 4, 4, 1, 3, 4, 0, 1, 4, 3, 2, 4, 3, 4, 4, 1, 1, 4, 3, 3, 1, 2, 0, 0, 3, 4, 4, 4, 4, 1, 3, 3, 3, 4, 2, 0, 4, 4, 2, 3, 3, 4, 2, 0, 0, 0, 1, 3, 4, 4, 4, 0, 4, 3, 3, 4, 2, 2, 2, 4, 3, 4, 2, 3, 1, 3, 1, 2, 3, 4, 3, 1, 3, 0, 0, 0, 2, 0, 0, 2, 3, 2, 2, 1, 1, 2, 1, 1, 3, 2, 1, 3, 2, 0, 0, 4, 2, 2, 1, 2, 4, 0, 0, 4, 0, 3, 1, 0, 2, 3, 3, 3, 0, 0, 4, 2, 3, 4, 0, 4, 1, 4, 2, 3, 3, 2, 2, 0, 2, 1, 3, 3, 0, 2, 4, 4, 2, 0, 1, 4, 2, 2, 1, 3, 3, 0, 4, 4, 2, 3, 4, 1, 4, 0, 4, 0, 3, 2, 3, 4, 4, 1, 4, 1, 2, 2, 0] pubkeycol584 = [1, 1, 1, 0, 3, 4, 2, 2, 1, 2, 2, 1, 2, 4, 0, 1, 1, 2, 3, 3, 1, 3, 1, 4, 2, 1, 1, 2, 0, 1, 4, 2, 4, 1, 0, 0, 4, 3, 2, 3, 0, 4, 0, 3, 0, 1, 4, 3, 2, 4, 0, 1, 1, 3, 2, 0, 1, 1, 2, 4, 4, 4, 1, 3, 4, 1, 4, 2, 1, 3, 0, 0, 2, 4, 0, 2, 2, 1, 3, 4, 4, 3, 1, 4, 2, 1, 2, 2, 0, 2, 3, 0, 2, 1, 3, 2, 3, 1, 4, 4, 2, 1, 0, 2, 3, 2, 2, 3, 0, 1, 2, 3, 4, 3, 1, 3, 1, 1, 0, 1, 4, 2, 3, 0, 4, 3, 4, 3, 4, 1, 0, 3, 4, 2, 0, 0, 3, 4, 3, 0, 3, 4, 1, 2, 2, 4, 2, 3, 4, 0, 4, 0, 4, 4, 0, 4, 3, 1, 1, 0, 1, 2, 2, 4, 4, 3, 0, 0, 3, 4, 1, 3, 4, 4, 1, 2, 1, 4, 4, 2, 0, 3, 4, 4, 3, 1, 1, 3, 1, 2, 4, 2, 0, 0, 3, 3, 1, 4, 0, 4, 0, 3, 1, 1, 4, 1, 3, 3, 2, 0, 3, 4, 0, 2, 3, 0, 3, 1, 0, 3, 2, 2, 2, 0, 4, 0, 2, 4, 1, 4, 4, 1, 3, 2, 1, 4, 1, 2, 3, 2, 1, 0, 3, 3, 3, 1, 0, 3, 3, 2, 0, 0, 4, 2, 3, 4, 1, 3, 4, 2, 2, 4, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 4, 4, 4, 2, 2, 4, 4, 1, 3, 1, 4, 3, 0, 1, 3, 3, 3, 0, 1, 3, 2, 4, 0, 2, 3, 4, 2, 1, 3, 2, 0, 1, 4, 1, 2, 0, 3, 4, 2, 1, 1, 1, 3, 4, 4, 1, 1, 2, 0, 1, 4, 0, 3, 3, 1, 0, 3, 2, 0, 3, 0, 3, 2, 2, 4, 4, 3, 0, 0, 1, 3, 4, 4, 0, 4, 3, 0, 1, 3, 4, 0, 4, 2, 2, 1, 4, 4, 2, 1, 3, 0, 4, 2, 1, 4, 2, 3, 4, 4, 1, 4, 3, 0, 3, 0, 1, 2, 2, 0, 1, 0, 3, 3, 1, 4, 0, 2, 0, 2, 4, 1, 1, 3, 1, 3, 2, 3, 3] pubkeycol585 = [0, 2, 3, 3, 4, 1, 1, 3, 0, 1, 0, 2, 0, 0, 0, 4, 4, 2, 1, 3, 1, 1, 1, 2, 4, 0, 1, 1, 4, 4, 0, 3, 4, 4, 1, 0, 4, 1, 2, 2, 3, 3, 3, 2, 3, 1, 2, 0, 1, 4, 1, 1, 0, 2, 1, 1, 3, 1, 1, 3, 1, 2, 3, 3, 0, 2, 4, 3, 4, 1, 2, 1, 2, 4, 3, 1, 3, 1, 0, 1, 4, 2, 0, 2, 0, 1, 1, 1, 2, 4, 2, 2, 0, 2, 0, 1, 4, 4, 4, 1, 2, 3, 2, 0, 1, 0, 1, 1, 0, 0, 4, 1, 4, 1, 3, 1, 2, 4, 4, 0, 2, 1, 1, 4, 3, 1, 1, 3, 2, 4, 2, 1, 3, 1, 3, 1, 1, 2, 4, 4, 0, 2, 0, 3, 2, 4, 3, 1, 0, 0, 2, 0, 3, 0, 1, 1, 4, 3, 0, 0, 2, 1, 0, 0, 4, 4, 4, 3, 0, 4, 3, 2, 0, 3, 0, 4, 4, 3, 2, 2, 0, 2, 4, 2, 2, 0, 3, 1, 1, 3, 1, 2, 1, 4, 3, 4, 2, 3, 1, 4, 1, 2, 0, 3, 0, 0, 2, 0, 2, 4, 0, 2, 1, 1, 0, 3, 0, 0, 4, 2, 3, 2, 1, 4, 2, 2, 3, 2, 3, 1, 0, 2, 3, 3, 2, 2, 0, 3, 2, 4, 1, 1, 2, 0, 3, 3, 0, 2, 0, 2, 2, 4, 0, 4, 2, 2, 1, 1, 2, 4, 0, 1, 4, 3, 4, 2, 0, 3, 3, 1, 0, 3, 3, 3, 1, 2, 2, 2, 4, 2, 2, 2, 3, 1, 4, 1, 0, 0, 3, 0, 1, 0, 3, 3, 0, 4, 2, 0, 0, 3, 4, 1, 4, 2, 2, 3, 3, 4, 0, 0, 4, 1, 3, 4, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 3, 0, 3, 1, 1, 0, 1, 3, 0, 4, 4, 0, 0, 1, 3, 4, 3, 3, 1, 2, 1, 4, 4, 3, 0, 2, 0, 1, 1, 1, 2, 2, 4, 0, 1, 0, 0, 0, 2, 3, 0, 3, 1, 0, 2, 0, 3, 0, 3, 1, 4, 1, 1, 3, 0, 1, 4, 0, 3, 0, 3, 3, 3, 4, 2, 3, 1, 4, 2, 0, 1, 1, 1, 2, 1] pubkeycol586 = [2, 3, 3, 1, 2, 4, 4, 1, 4, 3, 0, 1, 3, 1, 1, 2, 3, 1, 4, 2, 1, 3, 4, 4, 3, 4, 3, 2, 0, 2, 2, 4, 2, 3, 1, 2, 4, 4, 3, 2, 2, 1, 4, 3, 1, 2, 1, 1, 0, 3, 4, 1, 0, 1, 1, 4, 1, 1, 2, 3, 2, 3, 0, 2, 3, 0, 0, 3, 2, 3, 2, 4, 3, 1, 3, 4, 3, 0, 3, 4, 4, 3, 3, 3, 3, 2, 4, 0, 1, 4, 3, 3, 4, 0, 1, 3, 1, 2, 1, 4, 2, 0, 1, 2, 1, 3, 4, 4, 2, 0, 1, 1, 2, 3, 1, 3, 1, 3, 3, 4, 1, 0, 0, 2, 1, 2, 2, 2, 3, 2, 4, 1, 3, 0, 1, 0, 4, 0, 2, 4, 3, 3, 4, 4, 1, 4, 3, 3, 1, 3, 2, 3, 4, 4, 3, 1, 3, 4, 0, 3, 4, 4, 0, 1, 4, 1, 1, 4, 0, 0, 2, 1, 3, 2, 2, 4, 0, 2, 3, 0, 2, 1, 2, 4, 1, 2, 4, 1, 0, 2, 0, 1, 0, 4, 1, 0, 3, 3, 3, 1, 4, 1, 3, 1, 3, 4, 3, 2, 2, 0, 3, 4, 1, 0, 2, 1, 2, 0, 2, 3, 1, 1, 1, 4, 2, 3, 2, 2, 4, 0, 2, 4, 2, 0, 1, 2, 0, 0, 0, 3, 2, 0, 4, 4, 4, 0, 1, 4, 4, 3, 2, 2, 4, 1, 4, 3, 3, 2, 3, 3, 3, 1, 2, 4, 1, 4, 0, 1, 1, 2, 4, 4, 4, 1, 1, 3, 3, 3, 2, 1, 4, 0, 4, 3, 1, 3, 2, 0, 0, 4, 1, 4, 1, 3, 0, 0, 4, 3, 1, 2, 4, 4, 4, 1, 4, 3, 0, 3, 1, 2, 1, 4, 3, 3, 1, 3, 0, 3, 4, 4, 0, 1, 3, 3, 2, 1, 4, 0, 4, 3, 2, 1, 0, 3, 0, 4, 3, 2, 3, 4, 2, 2, 3, 1, 0, 2, 3, 3, 2, 0, 4, 2, 4, 3, 0, 3, 0, 1, 1, 0, 4, 0, 0, 4, 3, 3, 0, 1, 1, 4, 3, 0, 2, 1, 2, 3, 2, 2, 3, 2, 3, 1, 2, 3, 4, 0, 4, 2, 4, 1, 4, 3, 1, 2, 2, 1, 2, 0, 3, 3] pubkeycol587 = [3, 4, 3, 0, 0, 4, 4, 1, 0, 2, 1, 2, 3, 3, 1, 1, 3, 3, 4, 0, 2, 4, 3, 2, 2, 2, 3, 3, 3, 3, 1, 0, 3, 3, 0, 2, 0, 2, 1, 3, 0, 1, 2, 3, 4, 1, 2, 0, 4, 4, 1, 3, 1, 3, 0, 4, 1, 4, 4, 2, 2, 0, 1, 4, 0, 4, 4, 0, 4, 3, 4, 1, 0, 3, 1, 0, 3, 0, 4, 2, 1, 1, 2, 4, 2, 2, 2, 2, 3, 0, 1, 0, 4, 1, 1, 3, 1, 4, 0, 1, 3, 3, 4, 4, 2, 3, 3, 4, 2, 1, 2, 0, 1, 0, 1, 2, 4, 2, 3, 2, 3, 0, 3, 3, 1, 3, 3, 4, 0, 4, 1, 2, 3, 3, 2, 4, 3, 1, 3, 2, 1, 0, 1, 0, 1, 2, 3, 3, 4, 2, 4, 2, 1, 2, 4, 1, 3, 2, 2, 0, 3, 3, 0, 1, 4, 4, 2, 2, 1, 1, 2, 0, 1, 0, 3, 0, 2, 3, 2, 3, 1, 0, 1, 2, 0, 3, 1, 3, 4, 2, 4, 3, 4, 4, 3, 1, 2, 4, 4, 4, 3, 0, 1, 1, 3, 1, 1, 2, 0, 0, 1, 4, 3, 2, 0, 0, 0, 4, 2, 4, 2, 1, 4, 4, 2, 1, 1, 0, 2, 0, 2, 3, 1, 4, 2, 1, 3, 2, 4, 2, 1, 1, 0, 1, 0, 1, 1, 2, 3, 4, 3, 1, 0, 3, 0, 0, 4, 0, 3, 3, 2, 3, 1, 2, 4, 4, 1, 3, 4, 1, 4, 4, 0, 2, 3, 1, 2, 1, 0, 2, 2, 4, 1, 3, 4, 4, 2, 3, 3, 1, 0, 2, 4, 1, 1, 0, 0, 4, 3, 0, 0, 0, 2, 3, 1, 0, 3, 3, 4, 2, 3, 3, 0, 1, 3, 2, 2, 4, 4, 4, 1, 0, 4, 3, 0, 3, 3, 3, 1, 2, 3, 1, 4, 0, 1, 1, 4, 2, 1, 2, 0, 3, 2, 1, 3, 3, 3, 4, 0, 1, 1, 2, 4, 1, 0, 4, 3, 3, 0, 0, 2, 3, 3, 1, 0, 0, 2, 3, 3, 4, 1, 2, 2, 2, 4, 1, 1, 1, 3, 2, 3, 1, 4, 3, 2, 4, 2, 3, 1, 3, 1, 4, 1, 1, 4, 3, 1, 1, 2, 2] pubkeycol588 = [1, 4, 0, 0, 4, 3, 0, 3, 3, 4, 0, 4, 0, 4, 2, 4, 3, 1, 0, 2, 1, 4, 4, 3, 1, 0, 1, 1, 0, 2, 1, 2, 2, 4, 4, 4, 2, 4, 3, 4, 1, 1, 1, 0, 3, 3, 1, 4, 2, 0, 3, 2, 3, 1, 1, 0, 1, 3, 0, 3, 3, 4, 3, 0, 0, 0, 2, 4, 3, 3, 3, 1, 3, 4, 1, 0, 4, 1, 3, 4, 1, 4, 2, 1, 1, 0, 1, 3, 1, 0, 1, 3, 3, 2, 4, 2, 1, 1, 4, 3, 1, 2, 2, 0, 4, 3, 0, 3, 4, 2, 3, 0, 4, 3, 4, 0, 0, 1, 3, 2, 0, 3, 2, 1, 0, 1, 1, 2, 3, 2, 0, 1, 0, 3, 4, 3, 2, 1, 2, 2, 4, 4, 2, 3, 2, 3, 1, 3, 3, 4, 3, 2, 0, 4, 4, 1, 1, 4, 1, 0, 1, 1, 0, 4, 2, 3, 0, 0, 4, 3, 2, 3, 4, 1, 2, 3, 3, 3, 4, 0, 2, 4, 4, 2, 3, 2, 2, 3, 4, 4, 0, 3, 3, 4, 0, 0, 4, 0, 0, 4, 0, 2, 0, 4, 1, 0, 2, 3, 2, 2, 3, 2, 0, 1, 4, 2, 4, 4, 1, 3, 1, 4, 1, 2, 0, 2, 4, 0, 4, 3, 1, 0, 1, 0, 1, 0, 3, 1, 3, 4, 4, 3, 0, 2, 1, 2, 3, 1, 0, 4, 1, 0, 2, 1, 3, 4, 0, 1, 4, 1, 2, 1, 2, 0, 0, 1, 3, 3, 0, 2, 1, 4, 4, 4, 3, 2, 2, 2, 3, 3, 0, 1, 3, 4, 0, 0, 3, 3, 4, 2, 1, 3, 1, 4, 3, 3, 0, 3, 1, 4, 4, 0, 0, 4, 2, 2, 0, 4, 0, 4, 2, 0, 4, 2, 0, 2, 4, 1, 1, 2, 3, 1, 4, 3, 2, 4, 4, 2, 4, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 3, 0, 0, 0, 0, 4, 2, 4, 3, 1, 2, 4, 1, 2, 1, 3, 2, 4, 1, 2, 3, 3, 2, 2, 0, 2, 3, 3, 4, 2, 2, 4, 2, 3, 0, 1, 2, 1, 3, 0, 4, 0, 1, 4, 1, 1, 3, 1, 0, 4, 0, 1, 2, 3, 4, 4, 3, 3, 1] pubkeycol589 = [4, 4, 3, 1, 3, 4, 3, 2, 3, 1, 0, 0, 0, 1, 4, 1, 4, 0, 2, 3, 1, 2, 1, 4, 0, 3, 3, 3, 0, 3, 3, 2, 1, 4, 3, 0, 4, 1, 3, 1, 4, 0, 3, 2, 1, 4, 0, 2, 2, 3, 4, 4, 3, 1, 3, 2, 2, 3, 0, 1, 3, 2, 4, 4, 2, 1, 3, 4, 4, 1, 3, 2, 0, 2, 1, 1, 2, 4, 2, 3, 3, 1, 0, 1, 2, 1, 1, 3, 4, 1, 2, 4, 3, 4, 3, 3, 2, 0, 0, 1, 4, 0, 4, 0, 4, 1, 4, 3, 1, 1, 3, 4, 2, 0, 0, 4, 1, 4, 2, 4, 1, 4, 1, 2, 4, 1, 1, 0, 0, 1, 1, 1, 0, 4, 4, 1, 1, 2, 0, 3, 2, 4, 2, 2, 1, 1, 3, 1, 4, 3, 2, 2, 4, 0, 3, 2, 4, 0, 3, 3, 0, 1, 4, 2, 0, 3, 1, 0, 1, 3, 1, 4, 1, 2, 1, 4, 0, 0, 1, 2, 3, 0, 1, 1, 1, 1, 3, 0, 3, 4, 0, 3, 0, 4, 2, 2, 1, 2, 2, 3, 0, 0, 3, 1, 4, 0, 1, 0, 4, 2, 1, 0, 4, 1, 1, 1, 0, 2, 3, 0, 0, 2, 3, 2, 2, 3, 4, 1, 3, 1, 0, 3, 4, 3, 3, 3, 4, 2, 0, 2, 3, 1, 2, 3, 1, 3, 1, 0, 0, 1, 3, 0, 4, 4, 2, 0, 1, 1, 4, 2, 1, 0, 3, 2, 2, 3, 4, 0, 4, 3, 0, 1, 4, 0, 1, 0, 1, 4, 2, 3, 0, 1, 2, 4, 3, 4, 4, 3, 3, 4, 3, 0, 3, 4, 3, 3, 0, 1, 2, 3, 3, 1, 1, 2, 3, 1, 4, 2, 3, 3, 0, 4, 1, 3, 2, 0, 3, 4, 4, 3, 1, 2, 1, 1, 3, 2, 0, 4, 1, 4, 3, 2, 4, 0, 2, 4, 1, 2, 3, 2, 4, 4, 2, 4, 0, 1, 4, 2, 4, 2, 0, 0, 3, 2, 0, 0, 3, 0, 1, 1, 3, 4, 1, 4, 2, 2, 2, 4, 2, 1, 3, 2, 0, 1, 1, 2, 3, 3, 0, 1, 1, 3, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 2, 2, 4, 4, 2, 4, 4, 2] pubkeycol590 = [3, 3, 2, 4, 4, 4, 4, 4, 2, 3, 0, 0, 2, 3, 2, 4, 0, 1, 3, 3, 4, 0, 1, 1, 3, 2, 4, 1, 0, 2, 3, 3, 4, 3, 2, 2, 0, 1, 3, 3, 4, 4, 3, 2, 1, 1, 3, 3, 2, 4, 3, 3, 0, 3, 4, 2, 1, 1, 4, 1, 1, 4, 1, 1, 1, 3, 3, 1, 3, 1, 4, 4, 3, 3, 1, 1, 0, 0, 0, 1, 4, 3, 4, 2, 4, 4, 1, 2, 4, 0, 3, 3, 2, 4, 1, 0, 1, 4, 2, 1, 1, 3, 4, 2, 4, 1, 4, 1, 1, 2, 2, 2, 4, 3, 4, 0, 2, 3, 3, 0, 3, 3, 1, 0, 3, 2, 2, 0, 2, 3, 4, 1, 2, 2, 4, 2, 2, 1, 4, 1, 1, 2, 3, 3, 0, 3, 4, 2, 3, 0, 4, 3, 2, 0, 0, 3, 0, 4, 1, 1, 2, 0, 4, 1, 4, 2, 0, 4, 2, 1, 0, 0, 4, 3, 3, 3, 4, 2, 4, 1, 0, 1, 2, 1, 2, 4, 1, 2, 2, 1, 3, 3, 1, 4, 0, 1, 3, 0, 2, 0, 1, 4, 2, 4, 1, 1, 0, 1, 3, 2, 1, 0, 4, 3, 3, 2, 2, 3, 1, 4, 3, 4, 2, 2, 0, 0, 2, 3, 1, 3, 0, 0, 3, 0, 3, 2, 1, 4, 4, 2, 4, 1, 0, 0, 3, 1, 3, 0, 4, 1, 4, 2, 3, 1, 3, 0, 4, 3, 3, 1, 4, 2, 0, 2, 1, 2, 4, 3, 1, 2, 0, 2, 0, 2, 2, 4, 3, 1, 4, 2, 2, 1, 2, 2, 0, 4, 2, 0, 2, 4, 3, 3, 3, 0, 0, 4, 3, 4, 2, 1, 1, 4, 2, 3, 3, 4, 2, 3, 2, 1, 1, 4, 3, 3, 4, 4, 1, 0, 4, 1, 1, 1, 2, 0, 3, 0, 0, 1, 1, 4, 1, 0, 0, 4, 1, 4, 1, 1, 0, 2, 0, 3, 3, 2, 1, 0, 3, 4, 2, 1, 1, 4, 0, 3, 3, 3, 0, 0, 2, 2, 3, 0, 3, 3, 4, 1, 3, 4, 4, 2, 4, 1, 2, 0, 3, 3, 3, 4, 2, 4, 1, 3, 1, 2, 2, 0, 4, 4, 3, 0, 1, 2, 4, 2, 2, 2, 3, 3, 2, 4] pubkeycol591 = [2, 4, 0, 3, 0, 4, 2, 4, 2, 3, 1, 4, 3, 1, 1, 3, 2, 3, 4, 4, 2, 1, 2, 3, 1, 1, 2, 2, 1, 3, 3, 0, 0, 2, 3, 1, 2, 0, 1, 1, 0, 3, 3, 1, 1, 1, 0, 3, 0, 2, 4, 2, 1, 2, 0, 0, 2, 3, 3, 1, 2, 3, 2, 3, 1, 2, 4, 2, 2, 0, 3, 1, 3, 0, 2, 0, 3, 2, 2, 2, 4, 0, 1, 4, 4, 4, 3, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, 0, 3, 0, 2, 2, 0, 2, 0, 4, 4, 1, 3, 1, 4, 1, 4, 4, 1, 3, 2, 1, 3, 4, 1, 3, 4, 1, 2, 4, 2, 3, 2, 4, 2, 4, 0, 0, 4, 1, 4, 1, 0, 0, 1, 1, 0, 3, 1, 3, 2, 1, 0, 4, 2, 4, 4, 0, 2, 0, 3, 4, 1, 2, 2, 1, 4, 3, 0, 2, 0, 1, 1, 3, 0, 0, 2, 3, 1, 3, 4, 4, 1, 0, 0, 3, 4, 0, 3, 1, 1, 1, 2, 2, 1, 0, 0, 2, 4, 2, 4, 0, 1, 3, 0, 2, 1, 2, 0, 3, 1, 4, 3, 2, 0, 2, 2, 0, 3, 0, 1, 2, 1, 1, 4, 4, 3, 4, 1, 0, 4, 3, 2, 2, 0, 3, 4, 4, 0, 2, 0, 1, 3, 4, 3, 4, 0, 3, 2, 2, 2, 4, 1, 1, 0, 0, 0, 2, 2, 3, 3, 3, 3, 4, 0, 1, 2, 4, 1, 3, 3, 0, 4, 3, 3, 4, 2, 0, 0, 4, 2, 1, 3, 2, 1, 4, 1, 2, 0, 1, 0, 0, 4, 0, 0, 2, 2, 4, 2, 2, 4, 2, 0, 2, 4, 1, 3, 0, 2, 0, 3, 1, 0, 0, 0, 0, 4, 2, 2, 4, 1, 4, 0, 3, 1, 3, 3, 3, 0, 0, 0, 3, 4, 0, 2, 0, 4, 4, 3, 4, 3, 0, 2, 1, 3, 2, 0, 4, 4, 2, 3, 3, 2, 3, 1, 0, 2, 1, 2, 1, 2, 3, 2, 3, 1, 0, 0, 1, 4, 1, 0, 3, 3, 3, 0, 1, 0, 2, 1, 2, 3, 3, 0, 0, 1, 1, 0, 4, 2, 2, 0, 4, 4, 0, 2, 4, 4, 0, 2, 1, 0, 3, 4, 4] pubkeycol592 = [2, 0, 3, 2, 3, 1, 0, 1, 3, 1, 3, 3, 3, 1, 4, 3, 1, 4, 3, 3, 1, 4, 1, 0, 4, 0, 4, 3, 0, 0, 0, 4, 2, 2, 4, 4, 4, 4, 2, 1, 4, 3, 1, 3, 0, 4, 0, 1, 4, 4, 0, 0, 2, 0, 3, 3, 2, 0, 1, 0, 2, 1, 0, 3, 0, 2, 2, 4, 4, 0, 1, 3, 1, 2, 4, 4, 4, 4, 1, 3, 0, 4, 4, 3, 2, 2, 1, 0, 3, 0, 1, 2, 0, 3, 1, 4, 3, 1, 4, 0, 3, 0, 2, 0, 4, 0, 1, 1, 3, 2, 3, 1, 4, 4, 0, 4, 3, 3, 2, 0, 2, 0, 4, 1, 2, 4, 3, 2, 4, 4, 2, 0, 3, 1, 1, 4, 0, 1, 1, 2, 1, 4, 0, 4, 3, 0, 3, 2, 1, 2, 1, 1, 4, 1, 4, 3, 4, 0, 3, 1, 2, 4, 0, 2, 0, 1, 1, 1, 3, 1, 3, 2, 4, 4, 3, 0, 3, 2, 2, 1, 3, 0, 1, 4, 1, 0, 4, 4, 2, 3, 4, 1, 1, 4, 1, 0, 1, 3, 4, 2, 1, 3, 2, 3, 0, 3, 2, 3, 2, 0, 1, 0, 4, 4, 2, 0, 3, 0, 0, 4, 0, 3, 0, 1, 0, 1, 0, 3, 3, 3, 4, 0, 0, 2, 2, 2, 4, 3, 1, 3, 3, 1, 0, 1, 3, 4, 4, 1, 2, 4, 0, 0, 4, 3, 4, 4, 0, 4, 4, 2, 4, 3, 1, 4, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 3, 3, 1, 4, 2, 2, 2, 4, 0, 3, 0, 4, 2, 4, 2, 0, 1, 0, 3, 0, 4, 3, 4, 4, 0, 0, 4, 2, 1, 0, 4, 1, 2, 2, 1, 0, 4, 2, 0, 2, 0, 4, 2, 1, 2, 2, 4, 2, 2, 1, 4, 1, 4, 0, 0, 1, 4, 0, 2, 0, 2, 2, 0, 4, 0, 2, 2, 3, 2, 3, 4, 1, 3, 4, 4, 2, 0, 3, 3, 0, 4, 4, 3, 2, 3, 3, 1, 4, 3, 3, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 4, 0, 4, 0, 4, 2, 4, 0, 0, 0, 3, 1, 1, 3, 0, 2, 1, 0, 3, 4, 1, 1, 3, 3, 4] pubkeycol593 = [4, 4, 3, 0, 1, 3, 2, 4, 3, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 3, 3, 2, 2, 1, 3, 0, 2, 1, 2, 4, 0, 0, 0, 0, 1, 3, 0, 4, 1, 2, 3, 0, 1, 2, 4, 2, 0, 3, 1, 4, 3, 1, 4, 0, 3, 4, 3, 4, 0, 4, 3, 3, 3, 3, 0, 3, 4, 1, 4, 2, 2, 4, 2, 2, 0, 4, 1, 1, 1, 0, 3, 1, 0, 2, 2, 2, 3, 2, 1, 4, 3, 1, 1, 0, 3, 2, 3, 1, 2, 0, 3, 1, 2, 0, 4, 3, 0, 4, 0, 0, 3, 2, 0, 2, 3, 3, 3, 2, 4, 1, 1, 1, 0, 1, 1, 4, 1, 0, 0, 3, 4, 3, 4, 1, 2, 3, 1, 3, 2, 2, 4, 3, 0, 3, 3, 1, 3, 2, 4, 1, 2, 2, 2, 0, 1, 3, 3, 4, 0, 3, 1, 4, 2, 2, 2, 2, 4, 1, 0, 1, 4, 0, 1, 4, 4, 3, 1, 4, 4, 3, 0, 4, 2, 2, 1, 3, 4, 3, 3, 0, 1, 2, 0, 4, 1, 3, 2, 4, 3, 3, 2, 4, 2, 1, 1, 3, 1, 0, 3, 0, 4, 4, 0, 1, 4, 2, 0, 2, 1, 3, 4, 1, 1, 1, 0, 3, 1, 0, 3, 2, 1, 1, 3, 4, 0, 4, 4, 2, 2, 1, 0, 4, 2, 3, 4, 1, 4, 3, 3, 0, 4, 4, 1, 1, 4, 1, 1, 2, 0, 1, 3, 0, 1, 2, 2, 0, 2, 4, 2, 4, 1, 0, 4, 4, 3, 2, 4, 1, 2, 4, 3, 3, 1, 0, 3, 1, 1, 4, 4, 2, 3, 4, 1, 2, 0, 3, 0, 4, 4, 4, 2, 0, 3, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 0, 4, 1, 2, 1, 4, 3, 4, 3, 1, 3, 3, 2, 3, 4, 1, 1, 1, 4, 1, 2, 3, 3, 2, 3, 0, 0, 4, 3, 4, 1, 1, 1, 2, 1, 2, 4, 4, 3, 3, 2, 3, 0, 3, 0, 2, 4, 0, 2, 1, 0, 2, 2, 4, 4, 3, 4, 4, 3, 4, 2, 0, 2, 3, 1, 1, 3, 2, 0, 0, 2, 2, 3, 4, 2, 4, 0, 4, 1, 2, 2, 2, 3, 1, 0, 3, 2] pubkeycol594 = [4, 4, 3, 3, 2, 0, 4, 0, 1, 0, 3, 0, 2, 4, 4, 0, 4, 2, 2, 3, 3, 0, 2, 1, 0, 3, 2, 0, 3, 4, 4, 3, 1, 3, 0, 0, 2, 1, 1, 3, 1, 0, 1, 4, 3, 1, 2, 0, 2, 4, 3, 0, 1, 3, 0, 4, 2, 1, 4, 0, 1, 4, 0, 0, 1, 1, 0, 3, 2, 3, 4, 0, 3, 1, 1, 2, 2, 4, 4, 4, 1, 3, 0, 2, 1, 3, 4, 2, 4, 2, 4, 1, 1, 4, 2, 1, 4, 4, 1, 3, 1, 1, 1, 1, 4, 3, 1, 2, 1, 4, 0, 1, 4, 2, 4, 3, 2, 4, 2, 3, 1, 1, 1, 2, 3, 2, 0, 1, 1, 4, 4, 0, 3, 0, 1, 0, 2, 2, 3, 1, 4, 3, 1, 1, 0, 4, 4, 3, 3, 0, 2, 3, 3, 2, 1, 3, 3, 2, 0, 2, 4, 2, 0, 3, 2, 4, 2, 0, 2, 1, 3, 1, 2, 4, 0, 4, 0, 0, 2, 0, 4, 2, 1, 0, 2, 2, 1, 4, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 4, 3, 4, 4, 3, 0, 0, 3, 2, 4, 2, 4, 2, 0, 1, 0, 4, 0, 2, 0, 4, 0, 2, 1, 0, 1, 4, 1, 2, 0, 3, 0, 4, 0, 3, 0, 0, 4, 3, 2, 0, 4, 1, 0, 3, 4, 4, 4, 4, 0, 2, 4, 3, 2, 2, 2, 3, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 4, 2, 1, 4, 0, 2, 1, 0, 2, 1, 4, 3, 4, 0, 4, 3, 3, 2, 1, 4, 2, 0, 3, 0, 1, 2, 2, 0, 1, 3, 4, 3, 2, 4, 2, 2, 0, 4, 4, 1, 3, 4, 2, 3, 3, 0, 0, 1, 2, 2, 0, 4, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 3, 2, 3, 1, 4, 4, 4, 1, 2, 4, 0, 1, 0, 1, 1, 1, 2, 2, 3, 0, 2, 3, 4, 3, 1, 4, 1, 0, 2, 4, 0, 3, 0, 0, 4, 4, 1, 1, 0, 4, 0, 1, 4, 1, 3, 2, 3, 3, 3, 0, 4, 2, 0, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 4, 2, 2, 4, 1, 3] pubkeycol595 = [2, 4, 4, 2, 4, 1, 1, 1, 3, 4, 2, 3, 3, 4, 1, 4, 0, 4, 4, 3, 2, 4, 0, 0, 1, 0, 4, 3, 4, 1, 1, 1, 3, 1, 4, 2, 1, 4, 3, 2, 1, 2, 0, 2, 1, 0, 4, 0, 3, 1, 0, 4, 3, 4, 2, 1, 2, 3, 4, 3, 4, 3, 0, 3, 1, 1, 4, 2, 3, 0, 0, 3, 1, 3, 1, 1, 0, 2, 4, 0, 0, 0, 1, 3, 4, 3, 1, 4, 4, 1, 3, 2, 1, 3, 3, 3, 2, 0, 4, 3, 4, 2, 2, 0, 4, 0, 0, 3, 2, 0, 2, 0, 0, 3, 3, 2, 3, 1, 4, 1, 0, 2, 3, 3, 3, 0, 0, 3, 1, 1, 2, 0, 1, 3, 2, 1, 1, 0, 1, 2, 0, 0, 4, 2, 0, 3, 1, 2, 3, 2, 1, 4, 0, 0, 4, 0, 1, 3, 1, 0, 3, 0, 2, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 0, 3, 2, 3, 4, 3, 4, 3, 2, 1, 4, 3, 3, 2, 4, 0, 4, 4, 1, 4, 1, 3, 1, 0, 4, 2, 3, 2, 0, 1, 1, 0, 4, 1, 3, 1, 1, 0, 3, 0, 0, 2, 1, 3, 0, 1, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 2, 0, 1, 0, 0, 4, 0, 3, 3, 3, 3, 4, 2, 0, 4, 3, 4, 0, 2, 2, 3, 4, 2, 4, 4, 0, 4, 2, 0, 0, 0, 2, 3, 3, 1, 2, 4, 4, 3, 0, 4, 0, 0, 1, 3, 2, 2, 4, 3, 1, 2, 1, 4, 1, 3, 0, 0, 0, 3, 1, 3, 0, 2, 2, 0, 4, 2, 3, 3, 4, 1, 3, 0, 2, 3, 1, 0, 1, 1, 4, 3, 2, 0, 0, 0, 2, 1, 3, 3, 2, 0, 0, 4, 1, 0, 0, 4, 0, 1, 3, 3, 0, 2, 1, 2, 3, 4, 1, 2, 4, 2, 4, 3, 4, 2, 1, 1, 1, 4, 2, 3, 3, 2, 3, 2, 4, 3, 0, 2, 1, 4, 1, 0, 1, 3, 3, 3, 2, 4, 4, 1, 2, 4, 3, 3, 2, 2, 0, 0, 3, 4, 0, 4, 0, 4, 4, 3, 2, 1, 1, 3, 0, 2, 2, 3, 1, 3, 3, 0, 2, 0] pubkeycol596 = [2, 4, 0, 0, 3, 3, 2, 1, 0, 4, 4, 2, 0, 0, 1, 0, 4, 4, 1, 2, 3, 0, 4, 4, 2, 4, 2, 3, 4, 2, 3, 1, 0, 0, 1, 2, 3, 2, 3, 0, 2, 2, 2, 2, 1, 3, 1, 4, 1, 2, 2, 3, 1, 1, 1, 0, 3, 4, 1, 4, 1, 0, 2, 3, 2, 0, 2, 2, 4, 1, 3, 2, 4, 3, 0, 2, 3, 2, 2, 4, 0, 3, 4, 1, 2, 4, 0, 2, 1, 0, 3, 2, 2, 1, 3, 3, 2, 0, 1, 2, 4, 2, 4, 0, 1, 1, 4, 4, 3, 4, 1, 0, 2, 1, 0, 3, 4, 1, 4, 4, 4, 1, 3, 4, 3, 4, 3, 0, 1, 4, 0, 2, 1, 1, 0, 4, 3, 4, 4, 1, 2, 4, 2, 2, 3, 2, 1, 2, 0, 4, 4, 3, 4, 1, 2, 0, 4, 1, 4, 3, 4, 1, 0, 2, 1, 3, 0, 1, 0, 4, 4, 0, 4, 2, 2, 0, 4, 4, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 3, 3, 2, 0, 2, 1, 2, 2, 0, 3, 0, 4, 4, 1, 0, 1, 3, 2, 4, 2, 3, 0, 3, 1, 4, 2, 0, 3, 2, 1, 1, 3, 1, 4, 3, 3, 1, 2, 1, 2, 1, 0, 3, 3, 0, 0, 4, 2, 3, 3, 1, 4, 3, 1, 1, 4, 2, 2, 3, 4, 2, 4, 4, 4, 0, 3, 1, 4, 4, 4, 0, 2, 3, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 2, 2, 4, 4, 2, 0, 1, 2, 0, 2, 3, 3, 3, 1, 2, 3, 3, 4, 1, 1, 0, 2, 4, 4, 1, 0, 3, 1, 3, 4, 1, 3, 0, 0, 4, 3, 2, 3, 3, 2, 0, 1, 3, 2, 3, 0, 1, 4, 0, 0, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 4, 2, 3, 3, 0, 2, 1, 3, 1, 2, 3, 4, 4, 4, 1, 3, 2, 0, 1, 0, 0, 0, 3, 4, 1, 4, 2, 2, 2, 4, 1, 0, 3, 4, 2, 0, 2, 3, 2, 4, 0, 3, 3, 1, 3, 2, 4, 0, 4, 1, 0, 3, 3, 4, 1, 4, 2, 1, 1, 0, 0, 4, 3, 1, 3] pubkeycol597 = [3, 0, 0, 0, 0, 1, 3, 2, 3, 0, 0, 0, 1, 2, 0, 3, 3, 4, 4, 4, 4, 0, 0, 3, 3, 4, 1, 2, 4, 0, 3, 3, 0, 2, 0, 1, 3, 2, 2, 1, 0, 3, 3, 3, 3, 2, 3, 4, 4, 2, 3, 2, 0, 1, 3, 1, 2, 3, 2, 2, 2, 4, 0, 2, 4, 0, 3, 2, 3, 1, 2, 4, 1, 1, 2, 4, 0, 3, 0, 3, 0, 1, 0, 3, 4, 3, 3, 1, 4, 1, 0, 2, 0, 4, 0, 3, 2, 4, 0, 3, 4, 1, 2, 0, 0, 3, 0, 4, 1, 4, 3, 0, 3, 3, 2, 0, 2, 2, 0, 4, 1, 3, 4, 2, 1, 4, 4, 0, 1, 1, 4, 4, 1, 0, 1, 1, 4, 4, 3, 0, 0, 1, 3, 0, 3, 0, 3, 4, 0, 4, 1, 3, 0, 1, 2, 4, 4, 2, 0, 1, 4, 1, 4, 4, 3, 2, 4, 4, 2, 4, 2, 3, 0, 3, 3, 3, 4, 3, 3, 3, 0, 3, 0, 3, 4, 2, 1, 0, 0, 0, 3, 2, 2, 3, 0, 1, 4, 1, 3, 1, 0, 4, 0, 4, 3, 1, 0, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 4, 4, 1, 1, 0, 4, 1, 4, 1, 1, 1, 0, 4, 3, 1, 1, 2, 3, 1, 2, 4, 4, 3, 1, 3, 1, 1, 0, 3, 4, 2, 2, 3, 4, 4, 2, 4, 1, 4, 0, 1, 3, 4, 1, 1, 4, 2, 1, 2, 3, 0, 2, 3, 3, 4, 4, 1, 2, 3, 1, 3, 0, 1, 0, 2, 2, 1, 0, 0, 3, 0, 0, 1, 1, 1, 4, 1, 1, 3, 0, 3, 0, 3, 2, 1, 4, 3, 0, 3, 3, 0, 3, 2, 4, 4, 0, 1, 1, 4, 4, 4, 0, 3, 2, 0, 2, 2, 0, 0, 3, 4, 4, 3, 2, 0, 0, 1, 4, 2, 1, 0, 2, 3, 0, 3, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 4, 0, 1, 0, 3, 2, 2, 3, 3, 4, 0, 0, 4, 0, 3, 2, 0, 0, 0, 0, 4, 0, 2, 0, 4, 4, 1, 3, 3, 3, 4, 0, 2, 2, 4, 3, 3, 3, 0, 4, 3, 1, 1] pubkeycol598 = [1, 1, 4, 1, 2, 4, 2, 4, 2, 4, 3, 0, 2, 4, 3, 2, 2, 0, 0, 1, 1, 0, 3, 0, 1, 1, 2, 2, 0, 3, 4, 0, 1, 0, 4, 2, 0, 2, 3, 3, 4, 3, 3, 3, 2, 3, 4, 3, 0, 1, 0, 4, 1, 1, 2, 0, 4, 3, 4, 0, 1, 0, 1, 1, 4, 0, 4, 2, 1, 4, 2, 1, 2, 4, 4, 2, 3, 2, 2, 2, 3, 3, 4, 0, 2, 3, 4, 1, 0, 3, 1, 0, 4, 4, 0, 3, 1, 2, 4, 0, 4, 1, 0, 3, 4, 4, 0, 4, 2, 0, 1, 4, 4, 4, 1, 4, 1, 1, 4, 4, 4, 0, 0, 1, 2, 0, 4, 3, 4, 2, 1, 3, 1, 3, 3, 1, 3, 4, 0, 4, 4, 0, 1, 2, 0, 3, 2, 0, 2, 0, 0, 4, 1, 2, 1, 4, 0, 4, 2, 4, 0, 1, 4, 0, 1, 0, 3, 2, 3, 0, 3, 2, 1, 2, 2, 1, 1, 4, 1, 4, 4, 1, 4, 0, 4, 0, 4, 4, 4, 4, 3, 0, 2, 2, 0, 4, 0, 0, 3, 4, 1, 2, 1, 2, 1, 2, 4, 1, 3, 4, 0, 4, 4, 4, 4, 0, 4, 1, 1, 3, 0, 2, 0, 2, 2, 1, 1, 1, 4, 0, 1, 1, 1, 2, 3, 0, 1, 3, 4, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 0, 2, 1, 3, 0, 0, 1, 3, 3, 1, 2, 2, 4, 4, 1, 0, 4, 3, 3, 4, 4, 3, 4, 1, 0, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 4, 1, 1, 4, 3, 3, 4, 2, 2, 4, 3, 0, 1, 4, 0, 3, 4, 0, 3, 1, 4, 2, 4, 3, 0, 4, 1, 4, 4, 0, 4, 3, 3, 1, 4, 2, 2, 0, 4, 1, 3, 0, 3, 1, 4, 2, 3, 4, 2, 1, 4, 1, 2, 4, 1, 3, 4, 2, 1, 1, 1, 0, 1, 3, 2, 3, 3, 3, 1, 0, 2, 4, 3, 1, 2, 3, 0, 4, 0, 1, 3, 2, 1, 1, 4, 2, 2, 3, 0, 4, 0, 0, 4, 3, 2, 4, 2, 3, 2, 2, 0, 4, 3, 1, 3, 4, 4, 4, 2, 3, 3, 3, 0, 2, 3, 2] pubkeycol599 = [0, 4, 4, 3, 0, 1, 4, 4, 3, 2, 4, 1, 3, 0, 4, 3, 1, 3, 3, 1, 1, 2, 0, 2, 4, 1, 0, 3, 3, 0, 2, 3, 3, 1, 0, 1, 1, 1, 4, 3, 0, 4, 2, 3, 0, 4, 2, 1, 3, 0, 0, 1, 2, 2, 0, 4, 1, 2, 2, 3, 2, 0, 3, 0, 3, 3, 2, 0, 4, 0, 4, 1, 3, 0, 4, 1, 4, 2, 1, 3, 2, 3, 2, 1, 1, 3, 1, 3, 0, 4, 3, 3, 1, 4, 2, 1, 3, 4, 1, 3, 2, 4, 4, 0, 0, 3, 4, 4, 4, 3, 4, 1, 2, 1, 1, 1, 3, 2, 3, 4, 0, 1, 3, 0, 2, 3, 4, 2, 1, 0, 1, 2, 3, 3, 2, 2, 2, 2, 3, 0, 3, 4, 4, 1, 0, 2, 2, 3, 1, 0, 1, 0, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 4, 4, 2, 4, 4, 1, 4, 0, 3, 1, 4, 3, 4, 0, 2, 2, 4, 2, 1, 3, 1, 0, 1, 1, 3, 4, 4, 4, 2, 1, 3, 1, 1, 2, 2, 4, 1, 4, 0, 1, 4, 1, 2, 1, 0, 3, 4, 2, 0, 3, 3, 3, 0, 0, 1, 3, 2, 4, 2, 2, 0, 0, 1, 0, 2, 3, 0, 0, 1, 0, 0, 4, 0, 0, 2, 2, 1, 0, 3, 1, 1, 0, 2, 3, 0, 4, 2, 3, 4, 4, 1, 1, 4, 3, 0, 1, 1, 0, 3, 4, 2, 0, 1, 3, 2, 4, 0, 3, 1, 2, 0, 4, 4, 2, 1, 4, 2, 3, 4, 4, 1, 0, 4, 1, 1, 1, 2, 4, 3, 1, 1, 2, 2, 4, 0, 0, 0, 3, 4, 2, 4, 0, 2, 4, 4, 1, 0, 0, 2, 1, 1, 0, 4, 1, 3, 1, 4, 2, 0, 0, 4, 4, 1, 2, 2, 0, 0, 1, 1, 3, 3, 0, 2, 0, 1, 4, 4, 4, 4, 4, 3, 1, 4, 3, 0, 0, 4, 3, 3, 2, 1, 3, 0, 1, 0, 1, 4, 0, 3, 4, 1, 3, 1, 1, 0, 0, 3, 3, 4, 4, 4, 1, 4, 0, 1, 4, 3, 3, 2, 2, 2, 0, 2, 0, 3, 4, 1, 4, 3, 2, 0, 3, 0, 1, 0, 4, 3, 4] pubkeycol600 = [4, 0, 3, 2, 4, 1, 1, 0, 1, 3, 3, 1, 1, 3, 0, 4, 1, 0, 0, 0, 2, 3, 1, 4, 0, 4, 4, 0, 1, 4, 2, 3, 1, 0, 2, 4, 3, 0, 0, 3, 4, 1, 1, 4, 0, 3, 2, 3, 1, 0, 0, 4, 2, 2, 0, 3, 4, 3, 0, 4, 4, 4, 4, 3, 4, 3, 0, 4, 1, 4, 2, 1, 0, 3, 4, 3, 0, 0, 2, 0, 2, 4, 2, 2, 3, 0, 0, 3, 3, 2, 2, 1, 4, 1, 2, 3, 4, 1, 4, 4, 3, 2, 3, 0, 0, 0, 2, 3, 3, 3, 2, 0, 0, 0, 2, 2, 2, 3, 0, 3, 2, 4, 2, 2, 2, 3, 1, 4, 3, 0, 2, 4, 0, 0, 4, 0, 3, 0, 2, 3, 4, 0, 3, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 4, 2, 3, 4, 0, 0, 3, 2, 3, 2, 3, 3, 4, 0, 3, 1, 1, 2, 3, 1, 4, 1, 0, 2, 2, 3, 3, 2, 0, 0, 1, 2, 3, 2, 4, 0, 3, 2, 0, 3, 4, 4, 3, 4, 1, 4, 1, 4, 3, 1, 0, 1, 2, 3, 4, 2, 0, 2, 3, 3, 3, 2, 4, 1, 0, 0, 4, 1, 4, 4, 3, 3, 4, 1, 0, 4, 0, 4, 1, 3, 2, 2, 3, 0, 3, 4, 0, 0, 4, 4, 3, 3, 3, 1, 1, 0, 3, 1, 0, 1, 0, 2, 3, 1, 3, 2, 2, 3, 4, 4, 4, 0, 1, 1, 0, 1, 3, 0, 0, 0, 1, 1, 2, 3, 1, 3, 1, 4, 1, 3, 1, 2, 1, 3, 1, 1, 3, 3, 0, 0, 4, 4, 3, 3, 1, 3, 3, 4, 2, 0, 3, 2, 2, 1, 1, 1, 0, 1, 0, 2, 3, 0, 3, 4, 3, 0, 4, 2, 0, 2, 4, 1, 4, 4, 4, 1, 4, 4, 3, 1, 2, 3, 1, 0, 2, 2, 4, 0, 4, 2, 1, 0, 1, 1, 2, 3, 1, 1, 4, 2, 1, 0, 4, 1, 0, 1, 0, 2, 0, 2, 4, 0, 3, 4, 3, 2, 2, 1, 1, 4, 3, 3, 4, 2, 0, 2, 1, 1, 2, 1, 4, 0, 1, 0, 3, 3, 4, 3, 3, 3, 3, 3, 1, 2, 0, 1] pubkeycol601 = [3, 4, 2, 4, 4, 1, 4, 3, 0, 2, 1, 4, 3, 3, 1, 0, 2, 1, 1, 2, 0, 0, 0, 3, 1, 3, 1, 4, 1, 3, 1, 0, 1, 3, 1, 0, 4, 2, 1, 0, 0, 3, 0, 0, 1, 1, 4, 4, 4, 2, 0, 0, 4, 2, 1, 0, 0, 1, 3, 2, 4, 3, 4, 2, 3, 2, 4, 0, 4, 3, 3, 2, 2, 1, 0, 3, 1, 3, 1, 3, 1, 4, 3, 0, 2, 0, 0, 0, 2, 1, 4, 3, 2, 3, 1, 2, 2, 1, 0, 2, 1, 2, 4, 3, 0, 3, 3, 0, 4, 2, 3, 1, 3, 3, 0, 1, 0, 0, 2, 0, 2, 2, 2, 4, 4, 2, 4, 0, 0, 0, 0, 4, 2, 3, 0, 2, 1, 2, 1, 0, 4, 1, 3, 2, 2, 2, 3, 2, 0, 0, 4, 4, 2, 2, 3, 3, 1, 0, 4, 0, 4, 0, 2, 2, 2, 1, 4, 4, 4, 4, 1, 0, 3, 3, 1, 3, 2, 4, 3, 1, 0, 0, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 3, 1, 4, 3, 3, 4, 4, 0, 2, 4, 1, 2, 4, 2, 0, 4, 3, 4, 2, 2, 2, 2, 4, 3, 0, 1, 3, 4, 2, 3, 0, 1, 3, 4, 4, 2, 4, 0, 1, 0, 2, 1, 2, 0, 3, 4, 0, 2, 1, 3, 3, 3, 2, 4, 0, 1, 3, 1, 2, 2, 2, 3, 0, 3, 0, 2, 2, 3, 1, 0, 0, 1, 4, 2, 0, 4, 4, 1, 2, 0, 3, 3, 2, 4, 4, 0, 1, 2, 2, 2, 1, 0, 1, 4, 2, 2, 3, 4, 3, 4, 2, 3, 2, 1, 2, 1, 3, 4, 2, 4, 0, 0, 3, 1, 2, 2, 0, 1, 1, 0, 4, 2, 3, 0, 3, 2, 0, 2, 4, 3, 2, 0, 4, 3, 4, 2, 3, 3, 3, 3, 4, 0, 2, 2, 2, 1, 1, 4, 2, 2, 2, 1, 3, 0, 4, 4, 0, 0, 1, 2, 0, 4, 0, 3, 0, 0, 0, 2, 4, 2, 4, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 3, 3, 2, 1, 2, 1, 4, 2, 4, 2, 4, 2, 2, 3, 1, 4, 1, 3, 1, 3, 0, 3, 3] pubkeycol602 = [4, 3, 0, 3, 4, 3, 2, 3, 3, 3, 1, 2, 3, 4, 1, 1, 3, 4, 4, 4, 4, 4, 0, 3, 3, 4, 2, 3, 0, 4, 0, 0, 0, 3, 1, 3, 1, 3, 3, 4, 2, 1, 3, 0, 2, 4, 4, 3, 2, 4, 1, 1, 0, 3, 0, 0, 2, 1, 0, 2, 4, 2, 4, 4, 4, 3, 2, 2, 3, 4, 2, 2, 2, 1, 0, 1, 4, 1, 0, 1, 2, 0, 3, 3, 2, 2, 4, 3, 4, 1, 1, 2, 2, 0, 3, 3, 1, 1, 3, 4, 1, 4, 1, 0, 1, 1, 3, 4, 2, 4, 0, 4, 2, 3, 1, 0, 2, 3, 3, 1, 4, 0, 0, 0, 3, 4, 4, 0, 0, 4, 3, 3, 0, 4, 4, 1, 2, 2, 0, 0, 1, 3, 4, 3, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 3, 4, 1, 3, 0, 3, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 3, 3, 0, 3, 2, 1, 4, 1, 2, 3, 1, 0, 1, 0, 1, 3, 2, 2, 3, 0, 2, 0, 1, 1, 1, 1, 3, 0, 3, 2, 3, 3, 4, 4, 1, 0, 4, 3, 0, 4, 1, 0, 4, 1, 1, 3, 1, 0, 2, 4, 4, 2, 2, 1, 4, 2, 1, 1, 3, 4, 4, 2, 0, 0, 4, 4, 3, 2, 0, 2, 4, 4, 1, 1, 2, 1, 4, 4, 3, 4, 0, 0, 1, 3, 3, 1, 4, 2, 4, 4, 0, 1, 4, 1, 4, 1, 2, 0, 1, 2, 2, 0, 1, 4, 4, 0, 2, 3, 2, 1, 1, 3, 3, 3, 4, 0, 2, 1, 3, 2, 3, 1, 3, 2, 0, 2, 4, 3, 4, 4, 2, 3, 0, 0, 3, 1, 1, 4, 1, 3, 0, 0, 2, 0, 2, 4, 1, 0, 0, 3, 0, 0, 4, 1, 0, 4, 0, 2, 2, 1, 2, 2, 0, 0, 2, 3, 0, 4, 4, 4, 4, 0, 2, 4, 0, 3, 3, 1, 2, 3, 4, 2, 0, 1, 1, 3, 1, 0, 4, 4, 1, 4, 4, 1, 0, 4, 1, 2, 1, 2, 3, 3, 4, 0, 3, 2, 1, 2, 0, 0, 1, 2, 4, 4, 4, 1, 1, 2, 0, 0, 0] pubkeycol603 = [3, 3, 2, 4, 4, 0, 2, 1, 0, 1, 3, 1, 1, 4, 2, 3, 4, 3, 3, 4, 4, 3, 2, 2, 2, 0, 1, 3, 4, 1, 3, 4, 2, 3, 0, 1, 0, 2, 1, 3, 1, 1, 1, 2, 4, 2, 2, 4, 1, 3, 4, 1, 3, 3, 3, 2, 3, 2, 0, 1, 4, 4, 0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 1, 4, 3, 4, 2, 2, 2, 1, 1, 3, 0, 2, 4, 2, 2, 0, 2, 4, 4, 2, 3, 1, 2, 0, 2, 1, 4, 3, 0, 0, 3, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 3, 4, 2, 4, 2, 1, 0, 3, 3, 2, 2, 0, 3, 3, 0, 0, 2, 3, 0, 0, 3, 0, 3, 4, 0, 3, 3, 4, 0, 0, 1, 2, 2, 1, 2, 4, 3, 1, 4, 0, 1, 4, 0, 4, 4, 1, 3, 3, 1, 4, 0, 0, 2, 3, 0, 4, 2, 0, 4, 2, 4, 4, 3, 2, 0, 4, 0, 0, 1, 0, 0, 3, 2, 2, 1, 0, 0, 1, 4, 2, 2, 1, 0, 0, 0, 4, 0, 4, 3, 3, 1, 2, 0, 3, 3, 4, 1, 4, 4, 3, 4, 0, 0, 4, 4, 1, 2, 2, 3, 1, 4, 4, 1, 1, 3, 3, 3, 0, 4, 2, 2, 3, 3, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 4, 2, 4, 2, 1, 0, 1, 0, 4, 1, 0, 0, 4, 4, 4, 1, 0, 3, 3, 4, 2, 1, 2, 0, 4, 3, 4, 3, 3, 2, 2, 4, 2, 1, 1, 3, 4, 1, 1, 4, 3, 0, 3, 2, 0, 3, 0, 2, 4, 0, 2, 4, 1, 2, 4, 2, 0, 2, 3, 0, 2, 4, 3, 4, 1, 1, 2, 3, 0, 2, 0, 2, 4, 2, 4, 4, 0, 4, 0, 0, 2, 3, 1, 0, 3, 0, 4, 2, 0, 0, 4, 4, 3, 2, 0, 2, 2, 2, 0, 2, 4, 3, 1, 2, 2, 3, 1, 3, 1, 2, 1, 0, 3, 3, 4, 4, 1, 4, 0, 0, 4, 2, 3, 3, 0, 0, 4, 3, 2, 4, 4, 2, 1, 3, 4, 3, 2, 3, 1, 3, 0, 2, 4, 1, 2, 4, 0, 1, 4, 4, 4] pubkeycol604 = [1, 3, 0, 2, 2, 4, 3, 4, 4, 2, 2, 2, 2, 1, 2, 0, 4, 1, 0, 0, 0, 2, 1, 2, 4, 4, 4, 1, 0, 3, 1, 2, 3, 0, 4, 2, 3, 1, 4, 2, 3, 1, 3, 0, 3, 4, 3, 3, 0, 1, 2, 1, 4, 3, 2, 3, 4, 3, 2, 2, 3, 0, 2, 1, 1, 2, 2, 4, 4, 3, 0, 0, 3, 3, 2, 1, 0, 4, 4, 1, 3, 1, 2, 0, 3, 0, 1, 2, 1, 1, 0, 4, 3, 3, 2, 2, 1, 3, 4, 3, 0, 2, 4, 0, 3, 0, 2, 2, 1, 3, 0, 0, 3, 0, 0, 1, 1, 1, 1, 4, 0, 4, 1, 0, 1, 3, 3, 2, 1, 3, 2, 2, 0, 0, 0, 0, 0, 3, 2, 3, 1, 3, 2, 3, 0, 2, 3, 2, 1, 3, 3, 4, 4, 3, 3, 3, 4, 2, 4, 4, 1, 1, 1, 0, 4, 3, 3, 2, 1, 3, 4, 4, 0, 0, 4, 1, 2, 4, 3, 4, 2, 3, 1, 3, 3, 1, 2, 4, 0, 4, 4, 3, 3, 0, 0, 2, 0, 4, 1, 3, 3, 1, 2, 4, 1, 2, 1, 4, 4, 1, 4, 3, 0, 4, 0, 3, 4, 4, 3, 2, 3, 4, 2, 3, 3, 0, 2, 3, 0, 1, 3, 1, 3, 1, 0, 1, 4, 0, 3, 4, 0, 4, 4, 1, 4, 3, 3, 1, 3, 3, 1, 2, 4, 4, 2, 0, 2, 3, 3, 0, 2, 2, 4, 4, 0, 4, 4, 2, 0, 4, 2, 0, 0, 1, 0, 2, 2, 3, 1, 4, 0, 2, 3, 2, 3, 2, 0, 0, 3, 0, 4, 3, 2, 3, 1, 4, 3, 3, 3, 0, 4, 2, 4, 0, 4, 0, 3, 0, 2, 4, 0, 2, 3, 2, 2, 4, 4, 2, 3, 1, 0, 1, 0, 3, 1, 3, 3, 1, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 3, 4, 0, 1, 0, 2, 2, 3, 4, 4, 2, 0, 0, 1, 1, 0, 2, 3, 2, 2, 0, 1, 1, 4, 1, 2, 3, 1, 0, 2, 1, 1, 2, 2, 2, 4, 2, 4, 3, 1, 1, 0, 3, 4, 3, 2, 2, 1, 3, 0, 4, 0, 0, 0, 3, 2, 4, 2, 0, 1, 4, 2] pubkeycol605 = [0, 1, 1, 3, 2, 0, 4, 3, 1, 2, 3, 3, 4, 4, 0, 3, 3, 2, 3, 4, 2, 1, 1, 4, 2, 3, 4, 0, 2, 4, 4, 1, 0, 2, 3, 2, 4, 3, 2, 2, 2, 2, 3, 0, 4, 3, 4, 4, 2, 3, 3, 4, 0, 4, 3, 3, 2, 0, 3, 3, 2, 3, 3, 1, 2, 2, 1, 3, 2, 4, 0, 0, 3, 1, 2, 2, 3, 1, 0, 0, 2, 1, 4, 2, 1, 0, 2, 0, 0, 3, 2, 2, 1, 4, 0, 1, 0, 4, 1, 0, 3, 1, 3, 4, 2, 2, 1, 3, 1, 1, 2, 1, 4, 2, 0, 3, 4, 3, 4, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 0, 3, 3, 2, 3, 3, 2, 3, 4, 0, 0, 4, 4, 2, 0, 0, 2, 1, 3, 2, 0, 1, 1, 0, 1, 1, 3, 0, 1, 3, 4, 4, 1, 0, 4, 4, 0, 4, 0, 2, 3, 2, 1, 3, 3, 2, 2, 1, 0, 0, 0, 3, 0, 0, 3, 1, 1, 2, 3, 1, 1, 1, 3, 1, 3, 2, 0, 4, 3, 4, 2, 0, 0, 4, 1, 4, 2, 3, 0, 1, 4, 4, 1, 0, 2, 0, 4, 0, 4, 0, 2, 1, 3, 4, 1, 3, 4, 1, 3, 0, 1, 4, 3, 3, 0, 1, 0, 3, 0, 3, 0, 0, 3, 4, 4, 0, 1, 4, 3, 3, 2, 3, 4, 2, 3, 0, 0, 2, 4, 4, 2, 2, 1, 2, 0, 0, 4, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 3, 0, 4, 2, 4, 0, 2, 1, 0, 2, 1, 3, 2, 2, 1, 4, 0, 4, 0, 3, 1, 1, 4, 4, 4, 0, 0, 2, 0, 4, 0, 0, 4, 1, 3, 4, 2, 4, 3, 1, 1, 2, 3, 1, 2, 2, 3, 4, 3, 2, 1, 4, 0, 4, 2, 4, 2, 2, 4, 0, 1, 1, 1, 0, 0, 1, 1, 0, 4, 2, 1, 1, 3, 1, 1, 3, 0, 2, 1, 0, 3, 0, 1, 2, 3, 1, 1, 1, 3, 3, 2, 3, 3, 1, 1, 4, 1, 1, 0, 2, 0, 0, 2, 2, 3, 4, 2, 0, 3, 2, 4, 3, 4, 0, 3, 0, 0, 4, 1] pubkeycol606 = [4, 0, 2, 0, 4, 3, 3, 4, 0, 4, 2, 3, 1, 1, 1, 3, 4, 4, 2, 1, 2, 0, 0, 3, 4, 0, 0, 3, 4, 2, 4, 3, 2, 3, 4, 4, 3, 1, 0, 2, 2, 0, 4, 3, 3, 1, 0, 4, 4, 1, 1, 0, 1, 1, 3, 2, 1, 0, 0, 4, 0, 2, 4, 1, 2, 1, 2, 0, 0, 4, 1, 2, 1, 2, 3, 0, 4, 0, 0, 1, 0, 3, 3, 4, 0, 1, 1, 0, 2, 4, 2, 3, 2, 4, 4, 1, 2, 1, 0, 3, 3, 0, 4, 0, 1, 0, 0, 1, 4, 4, 0, 1, 3, 0, 1, 3, 0, 1, 1, 2, 0, 0, 1, 4, 1, 3, 3, 3, 4, 2, 4, 0, 3, 0, 4, 0, 1, 2, 3, 2, 0, 2, 1, 2, 1, 4, 1, 3, 2, 1, 2, 4, 1, 4, 0, 0, 3, 2, 1, 0, 2, 1, 2, 4, 4, 3, 0, 1, 4, 0, 4, 2, 2, 4, 1, 0, 4, 4, 0, 3, 4, 3, 2, 0, 0, 0, 0, 0, 1, 2, 3, 0, 4, 1, 3, 0, 2, 3, 4, 1, 4, 1, 2, 3, 1, 0, 2, 1, 1, 2, 1, 3, 2, 0, 2, 1, 0, 2, 4, 4, 2, 4, 2, 2, 0, 4, 1, 3, 2, 3, 4, 2, 3, 1, 2, 1, 4, 2, 3, 4, 1, 1, 3, 1, 0, 1, 2, 3, 3, 2, 1, 0, 0, 4, 1, 4, 0, 4, 4, 1, 0, 2, 1, 3, 0, 3, 2, 2, 0, 4, 1, 3, 0, 1, 0, 4, 2, 0, 2, 2, 3, 3, 3, 1, 2, 1, 4, 0, 3, 1, 4, 3, 3, 2, 1, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 3, 1, 0, 0, 0, 3, 0, 2, 1, 3, 4, 1, 4, 4, 4, 1, 0, 1, 3, 0, 0, 1, 0, 4, 1, 1, 1, 0, 4, 0, 3, 2, 4, 1, 1, 0, 0, 4, 2, 0, 3, 4, 2, 1, 0, 2, 1, 2, 1, 2, 3, 1, 1, 4, 3, 2, 0, 1, 3, 1, 0, 0, 1, 3, 0, 0, 2, 0, 3, 0, 2, 4, 4, 2, 1, 2, 0, 4, 4, 4, 4, 1, 0, 0, 1, 3, 3, 1, 3, 4, 3, 3, 0, 0, 2] pubkeycol607 = [2, 1, 3, 1, 1, 2, 3, 2, 4, 3, 0, 4, 2, 1, 1, 2, 3, 1, 2, 0, 4, 4, 2, 3, 0, 0, 1, 0, 0, 3, 3, 3, 4, 1, 4, 2, 2, 3, 1, 2, 2, 0, 4, 0, 1, 1, 1, 4, 3, 3, 4, 3, 3, 4, 0, 0, 2, 0, 1, 1, 3, 4, 2, 3, 2, 1, 4, 0, 2, 0, 2, 4, 1, 3, 0, 2, 2, 4, 1, 3, 3, 0, 2, 2, 4, 2, 3, 3, 1, 4, 1, 0, 1, 0, 4, 1, 3, 0, 2, 1, 4, 1, 2, 4, 1, 0, 2, 0, 4, 1, 1, 1, 4, 0, 0, 2, 3, 0, 1, 4, 4, 3, 4, 0, 3, 4, 3, 4, 4, 1, 1, 4, 1, 0, 4, 0, 2, 0, 2, 3, 4, 4, 1, 4, 2, 4, 3, 0, 1, 3, 4, 4, 0, 2, 3, 1, 0, 1, 2, 4, 2, 3, 2, 0, 0, 0, 1, 4, 0, 3, 4, 4, 3, 3, 2, 1, 0, 0, 4, 4, 4, 0, 1, 4, 3, 3, 0, 4, 3, 3, 4, 1, 0, 1, 1, 0, 0, 3, 4, 2, 2, 1, 2, 2, 0, 2, 1, 3, 4, 1, 2, 4, 0, 3, 4, 1, 3, 1, 0, 1, 4, 2, 0, 3, 4, 4, 2, 3, 1, 3, 4, 4, 3, 3, 4, 3, 0, 3, 0, 3, 3, 1, 2, 0, 3, 3, 4, 2, 2, 0, 2, 0, 2, 4, 2, 2, 0, 3, 2, 4, 0, 0, 0, 0, 4, 3, 1, 0, 0, 2, 4, 1, 1, 2, 2, 4, 4, 1, 4, 3, 0, 4, 4, 4, 2, 4, 0, 3, 3, 0, 4, 3, 1, 4, 4, 0, 2, 3, 3, 0, 2, 4, 2, 2, 0, 0, 1, 4, 0, 1, 0, 3, 4, 1, 4, 1, 1, 1, 2, 4, 0, 4, 0, 1, 2, 0, 0, 1, 3, 0, 0, 2, 1, 2, 3, 3, 2, 0, 0, 1, 0, 4, 3, 1, 0, 3, 1, 0, 3, 3, 3, 1, 0, 0, 3, 0, 2, 4, 4, 0, 0, 3, 4, 1, 3, 2, 0, 1, 3, 0, 0, 0, 3, 0, 1, 3, 2, 1, 2, 1, 4, 4, 0, 1, 0, 4, 1, 3, 2, 0, 0, 0, 1, 0, 1, 4, 3, 4, 1, 3] pubkeycol608 = [2, 4, 0, 2, 0, 0, 2, 0, 4, 3, 3, 1, 1, 2, 2, 2, 1, 1, 4, 1, 3, 1, 2, 0, 0, 3, 4, 1, 4, 1, 3, 2, 1, 0, 0, 1, 4, 0, 3, 0, 4, 0, 1, 0, 2, 2, 4, 3, 4, 1, 3, 0, 2, 3, 3, 2, 1, 0, 4, 4, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 4, 4, 2, 2, 4, 4, 3, 2, 0, 1, 3, 2, 3, 2, 0, 1, 4, 4, 4, 1, 0, 4, 3, 3, 3, 1, 2, 2, 3, 3, 0, 4, 3, 3, 3, 4, 1, 1, 4, 3, 4, 2, 1, 2, 2, 2, 0, 4, 4, 0, 3, 0, 2, 4, 2, 0, 4, 3, 4, 0, 0, 2, 3, 2, 3, 0, 0, 3, 0, 3, 2, 3, 0, 2, 3, 1, 3, 2, 2, 4, 0, 3, 2, 0, 1, 2, 0, 1, 0, 3, 0, 2, 0, 4, 0, 3, 3, 3, 4, 2, 4, 2, 3, 1, 2, 2, 0, 3, 2, 3, 2, 3, 3, 0, 1, 3, 4, 1, 3, 3, 1, 0, 4, 3, 1, 3, 3, 2, 0, 3, 4, 1, 2, 2, 0, 0, 3, 0, 2, 4, 1, 2, 3, 0, 4, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 3, 3, 0, 3, 2, 0, 2, 1, 3, 2, 3, 1, 2, 1, 3, 4, 2, 3, 4, 2, 4, 4, 0, 3, 4, 1, 0, 3, 0, 0, 3, 1, 3, 1, 2, 1, 3, 3, 2, 3, 0, 0, 0, 0, 2, 4, 4, 0, 0, 1, 1, 2, 1, 3, 2, 3, 1, 3, 0, 0, 2, 2, 2, 2, 0, 2, 2, 3, 0, 2, 4, 0, 3, 3, 1, 2, 2, 3, 0, 4, 3, 2, 3, 0, 4, 0, 2, 1, 2, 4, 1, 1, 4, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 3, 4, 2, 1, 2, 3, 2, 4, 2, 2, 0, 1, 1, 4, 0, 2, 4, 4, 3, 1, 2, 1, 0, 2, 4, 3, 2, 2, 4, 0, 2, 1, 4, 4, 1, 2, 2, 1, 1, 3, 0, 4, 1, 1, 1, 4, 4, 4, 1, 0, 4, 0, 2, 3, 3, 2, 0, 1, 1, 1, 1, 0, 2, 1, 4, 0, 3, 0, 0, 1] pubkeycol609 = [0, 0, 1, 0, 4, 3, 3, 3, 2, 0, 1, 1, 0, 3, 4, 0, 3, 2, 2, 0, 1, 3, 1, 2, 1, 2, 4, 0, 2, 1, 0, 4, 3, 3, 4, 0, 1, 0, 4, 4, 4, 1, 2, 2, 4, 2, 3, 3, 4, 2, 1, 1, 2, 3, 3, 2, 4, 2, 1, 4, 4, 2, 1, 3, 1, 4, 4, 4, 0, 1, 2, 3, 0, 2, 2, 2, 3, 2, 0, 1, 1, 2, 4, 3, 1, 2, 4, 4, 1, 3, 0, 1, 1, 1, 3, 3, 3, 3, 1, 0, 2, 0, 2, 0, 4, 2, 1, 4, 1, 2, 3, 4, 1, 0, 1, 2, 1, 2, 1, 3, 0, 4, 3, 3, 2, 3, 0, 3, 0, 4, 0, 0, 3, 0, 1, 1, 0, 2, 4, 3, 2, 4, 1, 4, 0, 0, 4, 2, 4, 0, 3, 1, 2, 1, 1, 1, 2, 1, 3, 3, 2, 4, 0, 4, 2, 1, 3, 0, 2, 0, 0, 4, 0, 4, 3, 2, 3, 2, 4, 4, 0, 1, 3, 0, 2, 1, 2, 3, 0, 1, 3, 1, 2, 0, 3, 0, 0, 1, 0, 2, 1, 3, 4, 4, 3, 1, 2, 0, 2, 0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 3, 2, 4, 2, 4, 3, 2, 0, 0, 2, 3, 1, 1, 2, 1, 3, 0, 2, 1, 4, 3, 0, 3, 3, 1, 1, 4, 4, 0, 4, 0, 0, 0, 4, 1, 1, 4, 3, 2, 3, 1, 4, 0, 4, 1, 1, 1, 3, 4, 1, 4, 0, 3, 1, 2, 0, 4, 4, 4, 3, 2, 1, 4, 0, 2, 3, 0, 3, 1, 3, 1, 2, 4, 0, 3, 2, 3, 4, 4, 2, 4, 3, 4, 2, 1, 3, 1, 3, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 4, 3, 4, 1, 1, 0, 0, 0, 0, 4, 4, 2, 4, 4, 3, 2, 2, 2, 4, 2, 1, 2, 2, 2, 1, 3, 1, 4, 3, 0, 4, 1, 2, 2, 1, 4, 3, 2, 2, 1, 1, 3, 4, 3, 4, 4, 0, 3, 3, 0, 1, 1, 2, 1, 4, 3, 4, 2, 0, 1, 1, 4, 1, 4, 2, 3, 0, 2, 3, 1, 4, 3, 1, 2, 3, 1, 2, 4, 1, 3] pubkeycol610 = [4, 1, 3, 3, 4, 4, 3, 1, 4, 3, 3, 1, 2, 3, 3, 0, 1, 4, 2, 3, 2, 0, 3, 3, 3, 2, 1, 2, 4, 4, 3, 0, 1, 2, 4, 2, 3, 2, 1, 4, 4, 0, 2, 3, 4, 3, 2, 0, 0, 2, 1, 2, 1, 3, 0, 1, 2, 0, 1, 4, 0, 3, 1, 3, 4, 1, 1, 0, 3, 3, 0, 4, 3, 1, 4, 1, 0, 2, 4, 0, 1, 3, 3, 0, 0, 3, 1, 0, 0, 4, 3, 0, 3, 4, 1, 2, 1, 2, 3, 0, 1, 3, 0, 2, 2, 2, 4, 4, 0, 3, 4, 4, 1, 1, 0, 4, 1, 1, 0, 4, 1, 3, 3, 3, 1, 3, 2, 4, 1, 2, 4, 0, 3, 2, 2, 0, 4, 0, 2, 2, 1, 3, 1, 1, 1, 4, 4, 0, 3, 3, 4, 2, 4, 4, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 0, 0, 0, 1, 1, 4, 2, 3, 1, 2, 3, 2, 0, 1, 1, 4, 3, 2, 2, 3, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 1, 1, 3, 4, 0, 3, 4, 2, 4, 1, 2, 3, 4, 1, 2, 1, 3, 1, 3, 0, 3, 0, 4, 3, 0, 3, 3, 0, 2, 4, 3, 1, 4, 2, 4, 2, 0, 2, 3, 0, 0, 3, 4, 3, 3, 3, 3, 2, 4, 2, 4, 0, 3, 2, 1, 2, 1, 2, 4, 2, 4, 0, 0, 3, 1, 0, 2, 4, 1, 0, 0, 2, 0, 1, 0, 3, 0, 2, 1, 2, 0, 0, 1, 3, 1, 2, 2, 3, 3, 3, 3, 0, 0, 1, 0, 3, 1, 0, 1, 1, 4, 3, 4, 2, 4, 4, 2, 1, 0, 0, 4, 0, 3, 3, 0, 4, 4, 4, 1, 4, 3, 0, 3, 0, 3, 1, 3, 3, 2, 1, 3, 1, 3, 1, 4, 1, 3, 3, 1, 4, 1, 4, 0, 1, 3, 0, 2, 2, 4, 2, 4, 3, 2, 1, 1, 2, 2, 2, 0, 4, 1, 3, 3, 4, 0, 2, 1, 1, 4, 0, 4, 2, 0, 2, 0, 4, 3, 3, 0, 3, 1, 3, 4, 3, 0, 4, 0, 0, 0, 3] pubkeycol611 = [1, 0, 4, 2, 1, 4, 2, 0, 0, 1, 0, 0, 3, 0, 4, 1, 0, 0, 0, 3, 0, 4, 3, 0, 4, 4, 4, 0, 2, 0, 0, 1, 3, 4, 1, 1, 1, 2, 2, 4, 4, 2, 1, 0, 4, 0, 3, 0, 4, 1, 1, 2, 3, 1, 2, 4, 3, 1, 0, 1, 2, 4, 1, 3, 2, 0, 4, 1, 0, 1, 4, 3, 3, 1, 0, 1, 1, 0, 3, 0, 0, 2, 1, 1, 4, 1, 1, 0, 4, 1, 1, 1, 2, 0, 4, 2, 3, 2, 2, 2, 2, 3, 0, 3, 3, 0, 3, 2, 0, 2, 4, 2, 4, 1, 4, 3, 0, 0, 0, 1, 2, 3, 4, 2, 2, 0, 0, 2, 2, 0, 0, 4, 0, 2, 0, 3, 3, 3, 4, 2, 0, 3, 3, 0, 3, 2, 4, 1, 3, 2, 4, 3, 4, 0, 0, 0, 0, 1, 2, 1, 0, 3, 1, 0, 3, 1, 2, 4, 4, 1, 1, 0, 2, 3, 0, 4, 4, 0, 4, 2, 2, 3, 0, 0, 0, 0, 0, 2, 3, 3, 4, 2, 4, 0, 3, 0, 2, 2, 1, 1, 3, 1, 2, 4, 1, 2, 0, 4, 3, 3, 2, 1, 2, 3, 1, 4, 0, 4, 3, 3, 3, 2, 2, 3, 0, 0, 0, 0, 2, 3, 3, 4, 3, 2, 1, 1, 2, 3, 2, 0, 1, 4, 0, 4, 4, 4, 0, 0, 3, 4, 0, 3, 2, 1, 0, 4, 1, 4, 0, 4, 1, 0, 0, 2, 4, 0, 2, 0, 1, 4, 3, 4, 0, 0, 4, 2, 2, 4, 1, 0, 4, 4, 3, 3, 0, 1, 3, 3, 2, 3, 4, 1, 4, 0, 1, 0, 0, 2, 3, 3, 0, 2, 4, 0, 2, 3, 1, 2, 2, 1, 4, 3, 0, 3, 3, 2, 4, 3, 1, 3, 4, 0, 2, 0, 0, 0, 3, 1, 1, 2, 2, 3, 4, 2, 2, 4, 2, 1, 2, 4, 0, 1, 3, 0, 0, 2, 4, 1, 3, 4, 2, 3, 1, 2, 3, 3, 2, 0, 2, 2, 3, 0, 2, 3, 0, 3, 1, 3, 1, 2, 1, 4, 3, 0, 3, 2, 3, 2, 1, 0, 2, 1, 1, 4, 3, 4, 4, 0, 1, 2, 1, 3, 3, 1, 2, 3, 2, 2, 3, 4] pubkeycol612 = [4, 3, 4, 3, 1, 2, 3, 3, 3, 4, 3, 0, 1, 3, 1, 1, 0, 2, 3, 3, 2, 3, 2, 4, 3, 4, 2, 3, 1, 4, 4, 2, 3, 0, 0, 4, 0, 1, 0, 3, 0, 0, 4, 0, 3, 4, 4, 2, 3, 1, 2, 3, 0, 2, 0, 0, 0, 3, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 3, 3, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 4, 0, 0, 0, 2, 4, 2, 4, 3, 4, 0, 0, 4, 4, 4, 3, 0, 3, 3, 4, 2, 1, 3, 1, 1, 4, 4, 2, 4, 4, 4, 3, 0, 4, 2, 2, 2, 4, 3, 0, 2, 4, 4, 3, 2, 1, 1, 0, 1, 3, 0, 3, 4, 0, 0, 4, 1, 2, 3, 3, 0, 0, 2, 1, 2, 0, 3, 2, 4, 4, 0, 0, 1, 1, 2, 4, 3, 4, 4, 2, 0, 1, 4, 3, 3, 2, 0, 3, 2, 1, 3, 0, 1, 3, 2, 1, 3, 2, 2, 2, 2, 4, 4, 3, 2, 4, 2, 1, 3, 1, 3, 4, 2, 3, 0, 2, 1, 4, 1, 3, 0, 4, 3, 0, 1, 4, 0, 3, 4, 3, 1, 4, 3, 3, 3, 4, 2, 3, 4, 1, 4, 4, 1, 2, 0, 2, 1, 0, 4, 0, 2, 4, 0, 4, 1, 0, 1, 4, 1, 0, 4, 0, 3, 0, 1, 1, 4, 2, 1, 0, 3, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 3, 4, 3, 1, 0, 0, 3, 2, 0, 4, 3, 0, 0, 0, 2, 3, 1, 2, 3, 2, 2, 4, 2, 1, 4, 4, 2, 1, 4, 3, 0, 3, 0, 2, 2, 2, 4, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 4, 1, 4, 3, 2, 0, 3, 0, 3, 2, 1, 0, 0, 0, 1, 2, 1, 3, 0, 3, 0, 0, 0, 0, 2, 0, 3, 4, 0, 0, 0, 4, 0, 2, 1, 3, 0, 3, 3, 2, 0, 3, 3, 0, 3, 0, 1, 1, 3, 0, 1, 3, 4, 1, 0, 1, 3, 4, 2, 2, 1, 2, 4, 4, 2, 0, 0, 1, 0, 3, 4, 4, 4, 0, 3, 4, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 3, 2, 3] pubkeycol613 = [0, 0, 2, 1, 0, 3, 1, 4, 0, 0, 0, 3, 0, 2, 1, 1, 1, 2, 2, 1, 2, 4, 1, 1, 0, 3, 1, 0, 4, 0, 0, 1, 0, 4, 1, 0, 4, 3, 2, 1, 3, 0, 0, 2, 1, 0, 3, 4, 4, 0, 3, 0, 1, 1, 1, 4, 4, 1, 1, 0, 1, 2, 4, 1, 2, 4, 3, 4, 2, 4, 4, 0, 3, 3, 4, 0, 1, 2, 2, 4, 2, 2, 1, 4, 2, 3, 4, 3, 0, 3, 0, 0, 2, 2, 3, 0, 2, 3, 2, 4, 2, 3, 2, 4, 1, 2, 2, 4, 0, 3, 4, 1, 0, 0, 4, 1, 1, 3, 1, 4, 4, 0, 1, 4, 4, 2, 1, 4, 4, 1, 4, 1, 3, 4, 1, 2, 1, 0, 4, 2, 2, 3, 0, 0, 1, 2, 2, 4, 1, 4, 0, 3, 2, 3, 1, 4, 2, 1, 2, 3, 2, 4, 3, 1, 0, 2, 0, 0, 3, 2, 4, 1, 0, 3, 1, 0, 0, 2, 4, 2, 0, 1, 4, 1, 1, 1, 3, 2, 2, 4, 2, 4, 0, 0, 1, 0, 0, 4, 4, 1, 4, 4, 2, 2, 1, 1, 3, 0, 1, 3, 4, 0, 3, 2, 3, 2, 1, 2, 4, 2, 2, 4, 2, 0, 3, 4, 4, 3, 4, 0, 1, 1, 4, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 3, 4, 1, 0, 3, 0, 4, 0, 2, 1, 1, 0, 1, 0, 1, 3, 2, 0, 2, 0, 2, 0, 3, 1, 0, 3, 0, 1, 2, 3, 4, 0, 4, 0, 4, 4, 4, 3, 2, 1, 2, 0, 2, 1, 3, 1, 4, 3, 1, 3, 0, 3, 4, 1, 0, 3, 3, 0, 2, 2, 4, 3, 4, 0, 4, 2, 4, 1, 4, 3, 4, 4, 3, 0, 3, 3, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 3, 1, 0, 3, 0, 3, 1, 3, 3, 3, 4, 1, 4, 4, 2, 4, 4, 2, 0, 3, 3, 4, 0, 4, 3, 1, 3, 1, 4, 3, 4, 0, 0, 1, 3, 2, 3, 2, 1, 1, 2, 2, 1, 4, 4, 2, 2, 3, 1, 2, 4, 0, 1, 2, 2, 1, 4, 0, 4, 4, 4, 1, 1, 4, 0, 1, 3, 2] pubkeycol614 = [3, 0, 4, 2, 4, 4, 1, 3, 2, 1, 1, 2, 2, 2, 0, 0, 4, 2, 4, 0, 0, 2, 2, 4, 0, 3, 4, 2, 0, 2, 0, 2, 3, 2, 0, 3, 2, 4, 1, 3, 2, 2, 0, 1, 4, 2, 2, 3, 4, 3, 3, 4, 2, 0, 1, 0, 0, 4, 0, 4, 0, 3, 2, 2, 1, 1, 2, 3, 2, 1, 0, 0, 1, 4, 0, 1, 1, 1, 0, 3, 1, 4, 4, 3, 1, 0, 4, 4, 2, 3, 3, 3, 4, 0, 2, 2, 2, 1, 1, 4, 1, 1, 1, 3, 0, 1, 3, 1, 0, 3, 4, 1, 1, 1, 2, 2, 0, 3, 1, 4, 1, 3, 2, 3, 2, 0, 4, 4, 0, 4, 3, 4, 2, 1, 4, 2, 0, 0, 1, 0, 3, 0, 1, 1, 1, 0, 1, 4, 2, 1, 0, 1, 2, 4, 0, 3, 1, 1, 2, 1, 4, 2, 0, 0, 4, 3, 4, 1, 4, 4, 3, 2, 4, 1, 1, 1, 0, 1, 4, 1, 2, 1, 4, 4, 0, 4, 2, 1, 1, 4, 4, 3, 2, 0, 0, 4, 2, 2, 4, 3, 0, 2, 1, 1, 0, 0, 4, 4, 2, 2, 4, 3, 1, 3, 0, 2, 2, 2, 4, 2, 3, 4, 3, 3, 4, 0, 2, 1, 1, 1, 3, 3, 1, 0, 3, 1, 0, 4, 2, 0, 4, 2, 4, 3, 2, 3, 1, 0, 4, 3, 3, 3, 2, 2, 0, 0, 3, 2, 2, 0, 4, 2, 2, 0, 0, 0, 0, 3, 0, 3, 1, 0, 4, 3, 1, 2, 0, 1, 3, 4, 4, 0, 3, 3, 4, 0, 0, 4, 2, 3, 2, 1, 1, 3, 0, 0, 4, 4, 1, 1, 2, 4, 1, 4, 1, 1, 2, 2, 1, 0, 3, 0, 0, 4, 4, 2, 0, 0, 2, 2, 1, 2, 0, 1, 3, 0, 0, 4, 2, 3, 2, 4, 0, 4, 2, 3, 2, 1, 2, 4, 1, 3, 2, 2, 3, 0, 1, 3, 0, 3, 0, 1, 3, 1, 4, 2, 1, 1, 3, 3, 2, 0, 0, 0, 4, 4, 1, 2, 4, 4, 3, 2, 2, 3, 4, 1, 0, 0, 1, 2, 2, 4, 4, 4, 2, 2, 4, 3, 3, 3, 3, 2, 0, 1, 2, 2, 0, 4, 2, 2] pubkeycol615 = [1, 0, 3, 0, 4, 3, 1, 0, 0, 3, 3, 0, 4, 4, 1, 1, 4, 2, 0, 0, 1, 1, 1, 1, 2, 3, 1, 3, 4, 4, 2, 4, 2, 2, 2, 4, 1, 4, 1, 2, 0, 4, 1, 1, 0, 2, 3, 2, 1, 0, 2, 2, 0, 2, 2, 2, 4, 4, 1, 2, 1, 2, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 2, 3, 3, 3, 4, 3, 2, 0, 1, 4, 2, 1, 1, 1, 0, 2, 3, 3, 2, 4, 3, 0, 3, 4, 2, 1, 1, 0, 1, 3, 4, 3, 3, 2, 3, 1, 4, 1, 4, 1, 1, 1, 1, 2, 1, 1, 3, 2, 4, 2, 3, 0, 1, 1, 3, 2, 0, 4, 0, 4, 2, 0, 3, 0, 0, 0, 2, 0, 2, 4, 4, 1, 1, 3, 3, 1, 0, 0, 4, 2, 1, 3, 1, 2, 2, 1, 2, 3, 1, 1, 1, 3, 3, 4, 2, 3, 4, 4, 2, 0, 3, 0, 2, 2, 3, 4, 0, 1, 3, 1, 0, 1, 1, 2, 3, 4, 1, 4, 0, 0, 0, 4, 3, 4, 3, 1, 4, 4, 4, 2, 0, 4, 4, 0, 0, 3, 0, 0, 2, 2, 3, 4, 3, 3, 0, 3, 4, 4, 0, 0, 4, 1, 0, 2, 0, 3, 0, 2, 0, 3, 3, 0, 1, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 2, 1, 4, 0, 0, 1, 1, 0, 4, 1, 4, 2, 0, 0, 4, 2, 0, 2, 2, 3, 2, 0, 1, 3, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 4, 0, 2, 0, 0, 3, 1, 4, 4, 0, 1, 3, 3, 4, 4, 3, 0, 3, 0, 0, 0, 4, 2, 1, 2, 0, 0, 3, 3, 4, 1, 2, 2, 2, 2, 3, 1, 0, 3, 1, 2, 4, 3, 2, 1, 2, 0, 2, 4, 2, 1, 1, 4, 4, 1, 4, 1, 3, 0, 0, 4, 2, 3, 0, 0, 1, 4, 4, 0, 0, 4, 1, 4, 3, 3, 4, 2, 3, 3, 0, 1, 3, 0, 2, 3, 1, 2, 4, 0, 1, 2, 0, 0, 1, 3, 3, 1, 1, 4, 4, 4, 4, 1, 1, 2, 1, 2] pubkeycol616 = [2, 2, 1, 4, 1, 0, 4, 0, 0, 3, 0, 4, 2, 0, 1, 3, 2, 0, 4, 1, 1, 4, 1, 0, 4, 3, 4, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 3, 2, 1, 4, 0, 3, 4, 0, 4, 1, 0, 0, 0, 2, 0, 2, 4, 0, 2, 3, 4, 0, 3, 4, 0, 2, 4, 2, 3, 1, 0, 1, 3, 4, 1, 3, 1, 0, 1, 0, 0, 3, 4, 3, 1, 1, 0, 4, 3, 1, 2, 3, 4, 2, 2, 2, 4, 2, 3, 3, 0, 0, 4, 3, 4, 0, 0, 0, 2, 0, 3, 2, 3, 0, 1, 3, 1, 4, 2, 4, 4, 4, 2, 2, 4, 4, 2, 0, 4, 0, 4, 2, 3, 1, 4, 3, 2, 2, 3, 4, 1, 3, 3, 0, 1, 1, 1, 0, 3, 1, 4, 1, 0, 2, 1, 0, 1, 1, 4, 4, 3, 4, 0, 2, 4, 1, 4, 4, 1, 3, 2, 1, 1, 4, 0, 2, 1, 2, 2, 1, 0, 4, 2, 0, 0, 2, 3, 3, 4, 2, 2, 3, 4, 4, 4, 2, 4, 2, 1, 2, 4, 4, 1, 2, 1, 3, 0, 1, 0, 0, 3, 1, 4, 3, 0, 0, 4, 3, 1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 3, 2, 3, 1, 1, 2, 0, 4, 1, 4, 1, 0, 3, 2, 3, 1, 2, 2, 4, 0, 4, 0, 3, 0, 3, 4, 3, 4, 2, 4, 4, 0, 2, 2, 4, 1, 3, 4, 0, 3, 0, 2, 0, 0, 0, 3, 0, 2, 2, 4, 2, 1, 2, 0, 2, 1, 0, 0, 4, 0, 3, 3, 0, 3, 3, 0, 1, 3, 0, 0, 2, 1, 2, 3, 2, 4, 1, 3, 0, 2, 3, 3, 4, 0, 1, 2, 4, 4, 4, 2, 0, 2, 2, 0, 4, 3, 2, 1, 4, 2, 4, 3, 0, 0, 4, 2, 1, 4, 2, 2, 3, 0, 3, 0, 2, 1, 4, 2, 3, 1, 1, 0, 4, 1, 0, 0, 4, 4, 1, 4, 0, 3, 4, 0, 1, 3, 2, 2, 3, 1, 0, 3, 2, 1, 2, 0, 4, 4, 4, 3, 1, 1, 3, 2, 0, 0, 2, 0, 3, 4, 0, 1, 3, 3, 4, 0, 3] pubkeycol617 = [4, 1, 0, 4, 2, 4, 3, 3, 0, 3, 0, 2, 1, 3, 4, 0, 1, 2, 2, 3, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 0, 4, 1, 2, 4, 3, 0, 2, 3, 1, 2, 4, 0, 1, 1, 4, 4, 1, 0, 0, 3, 1, 3, 3, 4, 2, 1, 3, 3, 3, 0, 1, 4, 0, 4, 0, 1, 0, 0, 4, 1, 4, 4, 3, 3, 1, 4, 4, 3, 0, 1, 3, 4, 2, 4, 2, 1, 1, 1, 3, 1, 3, 2, 4, 2, 2, 4, 4, 1, 4, 3, 3, 0, 0, 1, 0, 1, 1, 4, 4, 0, 4, 0, 4, 4, 2, 2, 4, 4, 0, 1, 4, 2, 2, 4, 0, 2, 1, 1, 0, 3, 1, 1, 2, 0, 1, 2, 3, 0, 4, 0, 2, 3, 4, 1, 4, 4, 3, 0, 2, 4, 2, 3, 2, 2, 2, 2, 0, 2, 0, 2, 3, 3, 4, 0, 3, 1, 4, 1, 0, 1, 0, 2, 1, 0, 2, 2, 3, 4, 1, 2, 1, 1, 1, 2, 4, 3, 0, 3, 3, 4, 2, 2, 3, 4, 2, 1, 2, 4, 0, 1, 3, 3, 0, 3, 4, 0, 4, 1, 3, 3, 4, 3, 4, 3, 2, 0, 2, 2, 2, 2, 4, 2, 3, 4, 1, 0, 4, 1, 1, 1, 3, 0, 4, 4, 2, 0, 0, 1, 2, 1, 4, 3, 1, 2, 0, 0, 2, 2, 2, 4, 4, 3, 3, 4, 2, 3, 4, 2, 3, 2, 0, 1, 1, 1, 3, 1, 2, 1, 3, 4, 4, 0, 2, 1, 0, 1, 3, 0, 4, 0, 1, 2, 2, 1, 3, 3, 0, 1, 2, 0, 2, 0, 2, 3, 3, 0, 2, 4, 2, 3, 0, 0, 1, 3, 3, 1, 2, 3, 4, 3, 1, 3, 1, 3, 4, 4, 4, 4, 3, 0, 1, 4, 3, 1, 2, 1, 3, 4, 0, 2, 4, 1, 3, 0, 3, 1, 0, 3, 3, 2, 2, 1, 1, 4, 2, 2, 3, 4, 3, 3, 1, 3, 0, 3, 0, 1, 3, 0, 3, 0, 0, 0, 3, 4, 2, 1, 3, 2, 0, 3, 3, 4, 2, 3, 0, 1, 1, 1, 0, 0, 1, 3, 3, 0, 2, 3, 1, 4, 0, 1, 4, 0, 4, 1, 2, 1, 2, 0] pubkeycol618 = [3, 4, 0, 0, 4, 1, 1, 2, 0, 4, 1, 4, 3, 1, 1, 1, 4, 1, 3, 3, 2, 3, 0, 0, 4, 3, 2, 1, 2, 2, 3, 0, 0, 1, 2, 4, 1, 2, 1, 0, 0, 0, 1, 4, 2, 1, 2, 4, 4, 3, 2, 4, 4, 1, 1, 2, 1, 4, 4, 4, 4, 1, 1, 0, 4, 1, 3, 0, 2, 2, 4, 3, 3, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 4, 2, 2, 4, 4, 2, 3, 1, 3, 4, 3, 3, 2, 2, 0, 4, 1, 0, 4, 4, 3, 1, 4, 1, 1, 4, 4, 1, 1, 2, 2, 1, 4, 1, 2, 1, 1, 2, 3, 2, 3, 0, 3, 4, 2, 0, 0, 0, 1, 1, 2, 0, 4, 4, 3, 4, 3, 3, 3, 2, 3, 4, 3, 2, 2, 4, 4, 3, 4, 0, 1, 1, 4, 2, 1, 0, 1, 1, 2, 3, 1, 2, 2, 3, 4, 2, 0, 0, 3, 1, 0, 1, 4, 0, 0, 3, 1, 0, 1, 1, 4, 0, 3, 0, 3, 1, 1, 4, 4, 4, 3, 3, 2, 4, 2, 3, 4, 2, 4, 3, 3, 1, 3, 4, 3, 0, 2, 1, 0, 0, 3, 3, 4, 0, 4, 0, 3, 3, 3, 4, 4, 4, 2, 4, 0, 3, 2, 2, 0, 1, 4, 1, 1, 1, 3, 2, 2, 0, 0, 0, 1, 1, 1, 4, 1, 3, 4, 0, 0, 3, 4, 0, 2, 0, 2, 1, 2, 2, 0, 4, 1, 3, 4, 3, 4, 1, 3, 3, 2, 3, 3, 4, 0, 3, 1, 3, 4, 1, 0, 0, 0, 2, 1, 0, 2, 4, 1, 4, 3, 0, 4, 2, 4, 4, 2, 0, 3, 2, 3, 2, 0, 3, 2, 1, 0, 4, 3, 4, 4, 2, 3, 1, 2, 0, 4, 0, 1, 2, 4, 3, 4, 3, 1, 4, 3, 1, 0, 0, 1, 2, 1, 1, 1, 4, 2, 0, 4, 1, 2, 4, 0, 3, 1, 0, 1, 3, 4, 1, 4, 0, 1, 2, 0, 4, 2, 1, 0, 1, 4, 4, 0, 0, 3, 4, 2, 1, 3, 4, 1, 2, 0, 4, 2, 1, 0, 0, 3, 2, 4, 3, 3, 4, 1, 4, 3, 0, 1, 4, 2, 4, 2, 0, 0, 4, 3, 2, 0] pubkeycol619 = [2, 1, 2, 1, 0, 0, 1, 3, 4, 0, 2, 3, 4, 1, 3, 2, 1, 4, 2, 4, 3, 1, 4, 2, 0, 3, 4, 0, 2, 2, 2, 1, 2, 3, 1, 4, 4, 3, 3, 4, 0, 1, 3, 0, 2, 2, 4, 2, 3, 2, 0, 3, 0, 4, 0, 1, 0, 1, 1, 4, 0, 0, 3, 0, 1, 1, 3, 2, 0, 2, 3, 3, 2, 1, 2, 3, 1, 0, 0, 4, 4, 3, 1, 1, 4, 4, 1, 3, 0, 2, 3, 0, 3, 2, 3, 1, 1, 4, 2, 1, 0, 3, 3, 3, 1, 3, 3, 0, 1, 3, 4, 4, 4, 4, 2, 4, 0, 1, 2, 2, 0, 3, 1, 4, 2, 2, 1, 4, 0, 4, 4, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 4, 2, 2, 1, 1, 3, 3, 1, 4, 3, 2, 4, 1, 0, 4, 4, 2, 0, 1, 0, 0, 2, 3, 1, 1, 1, 3, 1, 4, 2, 0, 3, 4, 1, 4, 3, 3, 3, 2, 3, 0, 0, 2, 2, 3, 3, 4, 0, 2, 4, 0, 4, 2, 0, 3, 2, 0, 1, 2, 0, 3, 2, 1, 4, 1, 0, 4, 3, 2, 0, 2, 1, 3, 0, 0, 3, 0, 1, 3, 3, 1, 0, 0, 0, 3, 4, 2, 0, 3, 1, 4, 4, 0, 4, 1, 2, 4, 2, 3, 2, 1, 2, 4, 0, 0, 2, 1, 4, 0, 0, 4, 1, 4, 1, 4, 4, 3, 0, 4, 1, 1, 0, 4, 4, 0, 2, 1, 1, 4, 1, 2, 0, 3, 2, 0, 4, 0, 3, 4, 1, 2, 0, 0, 0, 1, 0, 2, 3, 3, 1, 2, 3, 0, 2, 2, 3, 1, 2, 1, 2, 1, 2, 2, 1, 4, 1, 4, 0, 4, 4, 1, 0, 4, 3, 2, 3, 0, 3, 4, 2, 1, 2, 2, 2, 1, 3, 0, 2, 2, 2, 0, 4, 2, 3, 3, 4, 2, 3, 2, 3, 3, 0, 2, 2, 0, 4, 4, 0, 2, 1, 4, 0, 0, 4, 2, 2, 2, 4, 4, 2, 4, 0, 4, 4, 0, 4, 1, 1, 1, 0, 3, 1, 2, 4, 0, 1, 4, 0, 1, 4, 3, 4, 0, 0, 1, 2, 0, 4, 4, 0, 4, 0, 4, 0, 2, 0, 0, 3, 1] pubkeycol620 = [3, 1, 4, 2, 0, 4, 0, 2, 3, 4, 3, 3, 4, 1, 2, 3, 4, 4, 1, 3, 2, 1, 1, 3, 2, 4, 1, 4, 0, 1, 0, 0, 4, 4, 2, 0, 2, 0, 3, 0, 2, 2, 1, 1, 2, 0, 2, 3, 1, 3, 0, 2, 1, 4, 1, 4, 0, 3, 1, 1, 4, 3, 1, 3, 0, 4, 0, 4, 1, 2, 0, 2, 4, 3, 2, 2, 2, 3, 4, 0, 2, 1, 3, 0, 4, 2, 1, 1, 0, 4, 3, 2, 0, 3, 0, 1, 0, 4, 3, 4, 3, 2, 0, 4, 4, 4, 3, 3, 1, 1, 4, 2, 4, 3, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 3, 4, 4, 4, 1, 0, 0, 0, 4, 4, 2, 2, 1, 1, 1, 0, 3, 4, 4, 2, 2, 0, 1, 1, 2, 2, 4, 2, 4, 1, 3, 0, 4, 0, 0, 1, 2, 0, 0, 0, 3, 4, 0, 2, 4, 0, 0, 0, 4, 0, 4, 3, 0, 1, 4, 0, 3, 1, 4, 1, 2, 2, 0, 2, 3, 0, 2, 0, 2, 2, 3, 3, 1, 3, 4, 3, 1, 0, 3, 0, 1, 3, 2, 1, 4, 0, 1, 2, 1, 0, 3, 1, 4, 1, 2, 4, 4, 2, 3, 3, 3, 3, 1, 2, 0, 1, 1, 3, 3, 2, 0, 2, 4, 0, 4, 4, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 4, 3, 0, 2, 1, 0, 0, 3, 2, 1, 2, 3, 4, 1, 1, 2, 3, 4, 3, 2, 4, 0, 3, 1, 4, 1, 1, 1, 0, 3, 2, 4, 3, 1, 2, 2, 3, 4, 3, 2, 2, 0, 2, 3, 4, 2, 0, 2, 1, 1, 4, 2, 4, 3, 3, 4, 4, 4, 1, 0, 0, 4, 3, 1, 2, 0, 2, 0, 3, 2, 0, 2, 3, 4, 2, 3, 3, 2, 2, 1, 3, 1, 0, 2, 2, 3, 1, 4, 2, 3, 1, 2, 4, 3, 3, 4, 4, 2, 4, 3, 2, 1, 2, 4, 1, 3, 0, 0, 1, 2, 1, 0, 3, 3, 4, 0, 3, 0, 2, 3, 0, 0, 2, 1, 3, 4, 3, 4, 1, 3, 4, 0, 3, 3, 1, 3, 2, 4, 0, 4, 0, 4, 0, 0, 1, 1, 1, 4, 4, 1] pubkeycol621 = [1, 4, 0, 4, 0, 0, 1, 2, 0, 2, 4, 4, 2, 1, 4, 0, 1, 1, 4, 4, 1, 1, 3, 3, 0, 4, 3, 2, 0, 3, 3, 0, 2, 0, 2, 2, 2, 4, 3, 1, 3, 4, 1, 1, 2, 3, 2, 2, 1, 1, 4, 1, 4, 1, 1, 2, 4, 0, 4, 0, 1, 4, 3, 1, 4, 4, 4, 0, 3, 3, 3, 0, 0, 3, 4, 1, 2, 2, 0, 3, 3, 3, 2, 3, 2, 2, 0, 0, 1, 0, 0, 4, 3, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 4, 3, 4, 0, 2, 1, 3, 2, 2, 2, 4, 4, 1, 2, 1, 2, 0, 2, 3, 1, 0, 3, 2, 4, 3, 4, 4, 0, 0, 0, 0, 1, 3, 1, 4, 1, 2, 1, 0, 3, 3, 4, 3, 0, 1, 2, 2, 3, 3, 4, 4, 4, 2, 3, 0, 1, 1, 3, 4, 3, 0, 2, 0, 0, 1, 1, 2, 0, 1, 3, 0, 3, 2, 0, 4, 1, 0, 2, 3, 2, 0, 4, 1, 4, 1, 1, 2, 0, 3, 1, 0, 2, 4, 3, 4, 1, 1, 0, 4, 1, 4, 2, 3, 1, 2, 0, 3, 4, 0, 2, 4, 3, 3, 1, 0, 2, 0, 1, 4, 1, 4, 2, 4, 3, 3, 2, 3, 3, 4, 0, 1, 1, 0, 2, 3, 1, 0, 0, 2, 4, 1, 2, 2, 1, 4, 0, 4, 0, 2, 3, 3, 0, 0, 3, 4, 4, 1, 2, 0, 2, 2, 1, 0, 4, 2, 2, 4, 3, 0, 4, 0, 4, 4, 3, 1, 3, 4, 2, 4, 0, 4, 2, 0, 2, 3, 4, 1, 2, 4, 3, 3, 2, 2, 0, 4, 0, 4, 3, 1, 4, 1, 0, 1, 2, 3, 2, 1, 3, 4, 0, 1, 4, 1, 1, 1, 2, 0, 0, 3, 0, 2, 0, 3, 0, 3, 3, 4, 2, 1, 4, 0, 4, 3, 0, 3, 4, 2, 1, 4, 4, 0, 2, 2, 0, 3, 4, 2, 4, 2, 4, 3, 3, 4, 3, 3, 1, 4, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 2, 1, 0, 0, 1, 1, 1, 1, 4, 3, 3, 0, 3, 0, 1, 4, 2, 1, 3, 0, 2, 1, 1, 0, 4, 1, 3] pubkeycol622 = [1, 2, 3, 4, 1, 2, 3, 1, 0, 0, 1, 1, 3, 4, 3, 2, 0, 1, 0, 3, 1, 0, 0, 1, 4, 1, 2, 4, 1, 3, 0, 4, 0, 3, 4, 4, 3, 4, 3, 2, 1, 4, 2, 2, 1, 1, 1, 4, 1, 1, 4, 0, 1, 1, 2, 3, 0, 0, 0, 2, 2, 1, 0, 1, 2, 3, 1, 4, 1, 1, 2, 2, 1, 3, 2, 1, 3, 2, 1, 0, 2, 3, 3, 0, 1, 4, 0, 2, 1, 3, 0, 0, 0, 2, 4, 4, 1, 3, 3, 4, 2, 1, 1, 2, 2, 1, 3, 0, 2, 4, 4, 1, 1, 4, 2, 1, 3, 0, 1, 3, 4, 3, 1, 1, 0, 3, 4, 2, 2, 2, 4, 1, 4, 4, 0, 2, 1, 1, 2, 0, 0, 3, 2, 4, 3, 1, 3, 4, 4, 3, 0, 4, 3, 4, 1, 3, 4, 0, 2, 0, 0, 2, 2, 0, 4, 1, 0, 1, 2, 3, 0, 1, 1, 1, 3, 1, 0, 4, 1, 4, 4, 1, 1, 1, 0, 2, 0, 1, 2, 0, 4, 0, 4, 0, 2, 1, 0, 1, 4, 2, 0, 1, 0, 0, 3, 1, 2, 3, 1, 3, 1, 3, 0, 3, 3, 3, 1, 2, 4, 0, 0, 3, 2, 3, 1, 4, 1, 4, 0, 4, 4, 2, 2, 3, 0, 4, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 2, 2, 4, 0, 3, 1, 4, 1, 0, 2, 3, 2, 1, 1, 1, 0, 4, 4, 0, 4, 0, 3, 2, 3, 0, 1, 1, 2, 4, 2, 4, 3, 1, 3, 1, 3, 0, 1, 2, 4, 4, 4, 4, 2, 0, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 4, 1, 1, 4, 3, 3, 4, 1, 0, 2, 1, 2, 2, 1, 4, 3, 1, 1, 1, 4, 0, 0, 3, 1, 2, 1, 2, 0, 0, 4, 3, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 4, 3, 2, 3, 2, 1, 3, 1, 3, 4, 4, 0, 1, 1, 0, 0, 1, 4, 3, 0, 4, 1, 3, 0, 2, 4, 3, 2, 1, 2, 4, 1, 0, 4, 0, 0, 1, 2, 3, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 4, 4, 3, 1, 0] pubkeycol623 = [0, 3, 2, 0, 0, 0, 3, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 4, 1, 4, 2, 0, 1, 0, 0, 3, 0, 4, 1, 2, 4, 0, 1, 3, 2, 0, 3, 2, 4, 2, 4, 4, 2, 2, 2, 0, 0, 4, 2, 1, 0, 4, 4, 2, 2, 0, 1, 4, 3, 1, 1, 0, 3, 1, 2, 1, 1, 1, 3, 3, 4, 2, 0, 2, 2, 4, 2, 4, 0, 3, 2, 1, 2, 3, 2, 2, 0, 0, 3, 1, 4, 1, 4, 2, 1, 2, 0, 4, 3, 3, 2, 1, 2, 3, 3, 3, 0, 1, 1, 2, 3, 4, 2, 4, 0, 3, 0, 2, 2, 3, 0, 0, 1, 1, 1, 3, 3, 3, 0, 2, 0, 1, 4, 0, 0, 1, 2, 3, 2, 0, 0, 4, 3, 1, 1, 4, 3, 3, 1, 2, 4, 3, 2, 4, 4, 1, 0, 2, 4, 2, 4, 1, 0, 2, 4, 2, 0, 0, 1, 1, 3, 3, 3, 4, 2, 1, 2, 4, 3, 0, 2, 0, 0, 2, 2, 3, 4, 4, 4, 0, 4, 4, 1, 4, 2, 2, 3, 4, 0, 1, 1, 2, 0, 4, 2, 4, 2, 2, 4, 3, 2, 2, 0, 3, 4, 0, 0, 0, 0, 1, 3, 1, 2, 3, 2, 3, 3, 4, 4, 4, 3, 1, 2, 3, 0, 3, 0, 3, 2, 2, 1, 4, 4, 4, 1, 3, 3, 3, 4, 0, 4, 2, 0, 1, 2, 4, 2, 3, 3, 0, 4, 2, 2, 0, 3, 1, 3, 4, 4, 1, 2, 3, 4, 4, 3, 1, 2, 0, 4, 0, 1, 2, 0, 1, 2, 4, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 4, 2, 3, 4, 3, 0, 1, 1, 1, 0, 3, 1, 4, 4, 3, 2, 1, 0, 0, 3, 2, 1, 3, 2, 0, 2, 3, 3, 3, 4, 0, 4, 0, 0, 3, 2, 1, 0, 3, 2, 0, 2, 0, 3, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 4, 0, 3, 4, 3, 1, 2, 3, 2, 4, 4, 0, 1, 1, 1, 3, 2, 4, 3, 3, 4, 2, 1, 4, 3, 1, 1, 0, 1, 4, 0, 1, 2, 2, 1, 4, 3, 4, 3, 4, 0, 4, 0] pubkeycol624 = [0, 3, 1, 0, 4, 4, 3, 4, 0, 4, 3, 4, 0, 3, 2, 2, 4, 4, 1, 4, 4, 2, 4, 4, 4, 4, 1, 3, 4, 1, 0, 1, 1, 0, 0, 4, 3, 4, 0, 2, 2, 1, 1, 3, 0, 0, 1, 2, 3, 1, 3, 2, 2, 3, 2, 0, 2, 1, 2, 0, 0, 3, 0, 0, 2, 0, 2, 4, 4, 0, 2, 0, 4, 1, 0, 3, 3, 3, 2, 2, 0, 3, 2, 0, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 4, 2, 3, 3, 4, 3, 3, 4, 0, 4, 2, 0, 3, 3, 4, 0, 3, 0, 0, 3, 4, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 3, 4, 1, 0, 1, 3, 4, 0, 0, 3, 4, 3, 1, 4, 1, 4, 3, 0, 3, 3, 4, 2, 1, 1, 1, 1, 1, 4, 3, 0, 4, 4, 0, 1, 2, 2, 4, 1, 1, 1, 1, 0, 0, 2, 1, 4, 3, 3, 3, 4, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 3, 0, 1, 4, 4, 4, 3, 0, 3, 1, 4, 2, 2, 1, 1, 0, 2, 3, 2, 1, 3, 2, 3, 0, 2, 3, 2, 0, 3, 3, 4, 2, 4, 1, 3, 2, 2, 0, 2, 4, 4, 0, 1, 4, 1, 3, 3, 1, 4, 0, 0, 0, 3, 2, 0, 0, 3, 2, 0, 2, 3, 4, 0, 3, 4, 3, 1, 2, 1, 1, 1, 0, 2, 4, 0, 1, 3, 0, 0, 1, 0, 3, 2, 2, 0, 2, 4, 2, 2, 2, 2, 1, 4, 2, 4, 0, 2, 0, 3, 4, 0, 2, 0, 4, 2, 0, 2, 2, 2, 0, 1, 4, 1, 1, 0, 0, 3, 3, 2, 4, 1, 2, 4, 0, 2, 4, 0, 1, 4, 2, 0, 1, 2, 4, 2, 3, 2, 0, 4, 0, 0, 2, 1, 2, 0, 1, 1, 4, 0, 3, 4, 0, 4, 0, 2, 0, 2, 3, 3, 4, 3, 3, 3, 0, 0, 3, 1, 2, 1, 0, 4, 4, 1, 4, 4, 4, 0, 0, 3, 1, 4, 2, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 4, 3, 2, 2, 2, 2, 3, 1, 1, 4, 4, 2, 4, 3] pubkeycol625 = [3, 0, 2, 3, 1, 0, 0, 1, 3, 1, 4, 4, 2, 4, 0, 3, 1, 2, 3, 4, 2, 1, 1, 4, 0, 3, 4, 3, 4, 1, 0, 3, 0, 0, 4, 2, 2, 2, 2, 0, 3, 4, 3, 3, 3, 0, 4, 2, 1, 0, 4, 0, 0, 1, 4, 3, 3, 1, 2, 4, 3, 0, 2, 1, 1, 3, 2, 2, 1, 4, 1, 2, 3, 3, 1, 1, 3, 4, 2, 0, 0, 1, 2, 1, 1, 4, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 3, 2, 0, 0, 1, 0, 3, 1, 3, 2, 0, 0, 4, 1, 4, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 3, 0, 0, 1, 2, 0, 4, 2, 1, 0, 1, 4, 4, 3, 0, 2, 1, 3, 0, 0, 3, 0, 2, 2, 2, 4, 4, 2, 4, 1, 4, 2, 3, 0, 0, 4, 2, 0, 0, 0, 0, 2, 4, 2, 1, 2, 3, 2, 2, 2, 2, 0, 0, 4, 0, 4, 4, 4, 4, 2, 0, 3, 4, 3, 0, 0, 3, 4, 1, 4, 4, 2, 4, 4, 4, 2, 0, 1, 1, 2, 2, 0, 1, 4, 4, 1, 2, 4, 3, 2, 0, 3, 4, 4, 0, 2, 0, 2, 3, 3, 1, 3, 4, 3, 4, 3, 3, 0, 2, 0, 4, 3, 4, 4, 2, 4, 1, 4, 3, 2, 1, 0, 0, 3, 2, 1, 3, 2, 3, 4, 4, 3, 3, 4, 1, 3, 0, 1, 3, 4, 4, 2, 1, 3, 2, 0, 1, 3, 2, 1, 0, 1, 0, 2, 4, 4, 1, 2, 3, 4, 3, 2, 0, 3, 2, 3, 4, 2, 2, 2, 1, 4, 3, 3, 0, 1, 1, 2, 3, 3, 0, 1, 3, 2, 4, 1, 0, 4, 0, 3, 2, 3, 4, 4, 2, 3, 0, 2, 1, 4, 2, 0, 4, 2, 2, 2, 3, 3, 3, 4, 0, 4, 0, 1, 4, 2, 0, 2, 0, 3, 0, 2, 1, 1, 4, 1, 1, 4, 1, 2, 3, 2, 1, 2, 0, 2, 2, 1, 4, 0, 1, 1, 0, 1, 4, 1, 3, 4, 2, 2, 4, 4, 3, 0, 0, 2, 4, 2, 1, 0, 0, 1, 1, 2, 4, 1, 0, 2, 2, 0, 4, 2, 1, 1, 0, 0, 0] pubkeycol626 = [2, 3, 4, 0, 0, 0, 3, 0, 3, 3, 0, 2, 1, 1, 3, 2, 0, 4, 2, 2, 2, 0, 2, 4, 0, 3, 2, 4, 2, 1, 3, 0, 2, 3, 1, 4, 2, 4, 3, 4, 1, 2, 2, 3, 3, 2, 4, 1, 4, 2, 4, 1, 3, 4, 0, 3, 1, 2, 2, 2, 4, 0, 0, 3, 3, 0, 3, 0, 1, 1, 3, 3, 2, 0, 4, 1, 0, 4, 3, 4, 4, 4, 0, 2, 3, 3, 4, 1, 2, 2, 4, 4, 0, 2, 4, 4, 3, 0, 4, 4, 4, 3, 2, 2, 0, 3, 1, 4, 2, 2, 2, 1, 1, 3, 3, 4, 2, 4, 3, 4, 0, 4, 4, 2, 4, 0, 3, 0, 0, 4, 4, 3, 4, 2, 3, 2, 4, 2, 4, 1, 4, 3, 3, 3, 4, 0, 3, 0, 0, 0, 4, 2, 0, 4, 2, 3, 3, 4, 1, 0, 3, 2, 1, 0, 3, 0, 4, 4, 1, 4, 2, 0, 3, 2, 4, 0, 0, 1, 1, 0, 2, 1, 1, 4, 0, 3, 2, 0, 3, 0, 3, 4, 2, 4, 2, 2, 4, 1, 2, 2, 3, 4, 0, 3, 0, 4, 4, 0, 1, 0, 0, 3, 2, 4, 3, 4, 1, 2, 3, 3, 2, 4, 0, 4, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 3, 0, 4, 1, 4, 4, 0, 1, 0, 4, 2, 0, 0, 0, 1, 0, 2, 3, 3, 1, 1, 0, 2, 0, 4, 0, 3, 2, 4, 2, 1, 1, 0, 2, 2, 2, 3, 2, 3, 0, 2, 4, 2, 3, 3, 4, 3, 3, 0, 1, 4, 3, 1, 0, 1, 2, 2, 2, 1, 0, 3, 4, 3, 3, 1, 4, 4, 1, 3, 1, 3, 2, 2, 3, 0, 2, 3, 3, 4, 4, 1, 2, 2, 3, 3, 0, 1, 3, 3, 4, 0, 0, 1, 0, 2, 1, 0, 2, 4, 3, 0, 1, 3, 0, 1, 0, 4, 0, 2, 4, 4, 2, 4, 1, 3, 0, 2, 2, 4, 3, 0, 2, 0, 3, 4, 3, 2, 0, 1, 0, 0, 0, 3, 4, 4, 2, 4, 4, 2, 3, 3, 3, 2, 0, 4, 3, 2, 1, 3, 1, 3, 0, 4, 2, 3, 1, 0, 1, 3, 4, 0, 3, 1, 3, 1] pubkeycol627 = [4, 1, 3, 3, 0, 1, 3, 4, 0, 4, 2, 1, 4, 0, 2, 1, 1, 4, 4, 4, 3, 0, 0, 4, 0, 2, 0, 4, 0, 2, 3, 0, 4, 1, 4, 2, 0, 4, 3, 3, 0, 1, 1, 4, 2, 3, 1, 4, 1, 4, 0, 3, 4, 0, 3, 0, 1, 1, 2, 0, 0, 2, 0, 2, 4, 0, 4, 2, 3, 2, 2, 0, 1, 0, 0, 3, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 4, 3, 1, 1, 0, 1, 4, 0, 3, 3, 2, 2, 0, 2, 2, 0, 0, 2, 3, 1, 2, 2, 4, 1, 4, 1, 1, 1, 4, 2, 2, 4, 1, 3, 1, 3, 4, 4, 4, 1, 4, 4, 0, 1, 3, 4, 4, 3, 4, 4, 3, 4, 0, 3, 3, 1, 2, 0, 2, 0, 2, 4, 2, 3, 3, 3, 4, 4, 2, 4, 2, 0, 0, 3, 2, 4, 2, 3, 3, 3, 4, 3, 4, 2, 2, 1, 0, 3, 3, 4, 4, 2, 3, 0, 3, 0, 0, 4, 4, 0, 2, 4, 1, 1, 2, 2, 2, 2, 4, 4, 1, 3, 4, 3, 2, 3, 4, 1, 1, 3, 0, 3, 3, 4, 0, 3, 0, 0, 4, 0, 1, 0, 2, 2, 3, 1, 3, 3, 2, 4, 4, 2, 3, 1, 4, 3, 2, 1, 3, 3, 1, 1, 2, 3, 1, 2, 4, 3, 1, 0, 0, 3, 1, 0, 2, 0, 2, 0, 1, 0, 3, 3, 0, 2, 2, 4, 1, 0, 0, 0, 3, 1, 1, 2, 3, 4, 0, 2, 1, 1, 2, 2, 2, 0, 3, 1, 2, 3, 3, 1, 2, 1, 2, 4, 3, 0, 3, 1, 2, 2, 4, 4, 3, 0, 4, 1, 4, 1, 3, 1, 4, 4, 3, 0, 2, 2, 1, 3, 4, 1, 0, 0, 4, 3, 0, 2, 3, 2, 4, 3, 4, 1, 2, 1, 3, 1, 1, 2, 4, 0, 1, 4, 4, 4, 4, 3, 0, 1, 2, 4, 0, 0, 1, 2, 4, 0, 1, 1, 4, 3, 4, 3, 1, 0, 0, 3, 0, 4, 4, 2, 4, 1, 2, 3, 2, 1, 2, 0, 2, 2, 1, 2, 2, 4, 2, 2, 4, 3, 2, 3, 1, 0, 3, 3, 0, 2, 4, 2, 2, 3, 1] pubkeycol628 = [4, 0, 0, 0, 2, 2, 3, 1, 2, 0, 3, 1, 1, 3, 2, 3, 0, 2, 4, 1, 2, 3, 2, 2, 4, 3, 4, 1, 3, 2, 3, 1, 2, 0, 2, 0, 4, 3, 0, 1, 2, 3, 2, 4, 4, 4, 1, 4, 4, 2, 3, 2, 1, 2, 4, 1, 1, 4, 2, 4, 3, 0, 0, 2, 2, 4, 4, 1, 2, 2, 2, 3, 3, 3, 4, 3, 3, 3, 1, 2, 3, 0, 4, 3, 3, 1, 2, 2, 4, 1, 4, 2, 4, 1, 4, 2, 1, 0, 4, 3, 2, 4, 1, 1, 3, 1, 0, 0, 3, 2, 1, 4, 2, 0, 2, 2, 1, 0, 3, 2, 2, 2, 2, 0, 2, 4, 1, 4, 2, 1, 1, 1, 0, 2, 3, 4, 2, 0, 0, 2, 0, 4, 2, 1, 4, 3, 3, 0, 2, 3, 1, 2, 0, 1, 3, 0, 0, 4, 3, 3, 2, 2, 2, 4, 1, 0, 4, 4, 2, 1, 0, 2, 4, 4, 0, 4, 1, 0, 4, 0, 0, 3, 4, 2, 3, 1, 4, 3, 4, 2, 1, 4, 1, 3, 1, 1, 1, 1, 3, 1, 1, 4, 1, 3, 4, 4, 4, 0, 1, 0, 1, 4, 2, 2, 2, 0, 1, 1, 2, 1, 4, 1, 0, 4, 3, 2, 3, 3, 2, 3, 0, 2, 3, 3, 0, 0, 2, 1, 3, 1, 4, 3, 1, 1, 3, 1, 3, 0, 3, 2, 3, 4, 1, 3, 3, 2, 3, 3, 2, 2, 0, 1, 2, 0, 3, 4, 2, 0, 3, 0, 0, 0, 3, 1, 3, 0, 2, 0, 2, 0, 3, 4, 3, 4, 3, 3, 1, 4, 4, 0, 3, 0, 1, 0, 0, 0, 0, 1, 4, 2, 0, 1, 2, 1, 4, 3, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 3, 4, 3, 0, 1, 2, 0, 0, 1, 4, 2, 0, 3, 3, 1, 4, 4, 3, 0, 1, 3, 4, 3, 1, 0, 1, 4, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 4, 0, 2, 4, 2, 2, 1, 0, 2, 2, 3, 4, 4, 4, 3, 1, 3, 1, 3, 3, 4, 4, 0, 2, 1, 0, 3, 1, 3, 1, 3, 0, 4, 2, 4, 3, 2, 3, 3, 4, 4, 2] pubkeycol629 = [1, 3, 2, 4, 4, 3, 1, 1, 0, 4, 4, 0, 2, 3, 2, 2, 0, 2, 4, 0, 3, 1, 0, 2, 1, 1, 2, 3, 4, 2, 3, 2, 0, 0, 3, 2, 3, 1, 1, 1, 1, 2, 0, 4, 0, 0, 1, 2, 3, 0, 2, 0, 2, 0, 4, 0, 4, 0, 3, 4, 3, 3, 1, 3, 2, 3, 4, 0, 1, 2, 1, 0, 3, 3, 4, 4, 4, 2, 4, 4, 2, 4, 4, 4, 1, 4, 2, 1, 0, 3, 3, 2, 4, 2, 4, 1, 1, 3, 2, 0, 4, 2, 1, 3, 2, 1, 0, 3, 4, 1, 1, 4, 1, 1, 2, 1, 0, 1, 1, 0, 4, 3, 4, 2, 1, 3, 2, 3, 3, 2, 4, 3, 3, 4, 2, 2, 3, 1, 2, 3, 4, 0, 1, 1, 3, 1, 3, 2, 4, 3, 1, 3, 4, 3, 3, 4, 4, 0, 1, 1, 3, 2, 1, 0, 0, 3, 0, 3, 2, 1, 4, 0, 0, 0, 0, 3, 3, 1, 4, 1, 4, 0, 3, 0, 2, 0, 4, 1, 3, 3, 4, 0, 2, 3, 2, 4, 1, 1, 4, 3, 1, 2, 4, 0, 0, 4, 2, 4, 3, 2, 4, 3, 3, 4, 2, 2, 3, 3, 0, 0, 4, 1, 1, 2, 1, 3, 3, 1, 4, 3, 1, 2, 1, 4, 4, 3, 2, 3, 0, 1, 3, 4, 1, 2, 4, 2, 1, 3, 2, 2, 4, 3, 3, 0, 3, 0, 4, 0, 3, 4, 3, 2, 2, 1, 3, 4, 1, 1, 2, 4, 0, 0, 0, 4, 0, 2, 1, 1, 2, 2, 3, 2, 0, 2, 2, 4, 2, 0, 4, 0, 2, 2, 0, 0, 4, 4, 3, 1, 0, 3, 1, 2, 4, 2, 2, 4, 1, 1, 4, 1, 2, 0, 3, 2, 1, 0, 3, 3, 0, 2, 0, 2, 0, 3, 2, 4, 0, 2, 0, 2, 1, 1, 2, 0, 3, 1, 1, 4, 0, 0, 4, 1, 2, 0, 2, 2, 1, 0, 3, 2, 2, 1, 1, 0, 0, 4, 4, 1, 0, 1, 0, 0, 0, 2, 4, 4, 0, 3, 0, 3, 4, 3, 0, 1, 2, 0, 4, 1, 3, 1, 0, 4, 0, 0, 3, 4, 4, 4, 0, 4, 0, 2, 4, 0, 4, 0, 4, 2, 3, 2] pubkeycol630 = [3, 3, 2, 3, 3, 4, 4, 0, 3, 2, 0, 0, 4, 1, 4, 0, 0, 1, 4, 4, 1, 4, 2, 4, 4, 4, 2, 1, 0, 4, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 4, 2, 0, 4, 3, 0, 4, 2, 1, 3, 3, 4, 0, 3, 3, 3, 3, 1, 3, 0, 2, 2, 4, 0, 1, 1, 3, 2, 1, 0, 3, 3, 3, 3, 1, 2, 2, 3, 1, 2, 1, 1, 4, 4, 3, 3, 0, 2, 3, 4, 1, 0, 4, 0, 3, 2, 0, 1, 1, 0, 0, 2, 4, 3, 4, 4, 0, 2, 2, 1, 3, 2, 4, 4, 1, 3, 2, 4, 0, 4, 2, 2, 2, 4, 4, 1, 1, 3, 2, 2, 1, 2, 1, 0, 1, 4, 3, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 4, 4, 3, 4, 0, 4, 3, 2, 3, 2, 3, 3, 2, 1, 3, 3, 3, 3, 1, 3, 3, 1, 3, 2, 3, 0, 4, 2, 2, 4, 4, 1, 2, 2, 1, 4, 0, 3, 4, 0, 0, 2, 3, 0, 3, 2, 1, 2, 1, 1, 0, 3, 4, 3, 0, 0, 2, 3, 1, 4, 2, 0, 4, 0, 3, 1, 2, 1, 3, 1, 3, 1, 0, 0, 2, 3, 3, 1, 1, 4, 0, 1, 4, 4, 4, 1, 1, 3, 1, 3, 4, 2, 2, 3, 0, 3, 4, 3, 0, 4, 2, 4, 3, 1, 2, 1, 3, 3, 4, 2, 4, 3, 4, 1, 2, 3, 1, 2, 1, 0, 0, 2, 3, 3, 4, 0, 0, 4, 1, 1, 2, 3, 4, 0, 0, 2, 0, 1, 4, 3, 2, 1, 2, 1, 4, 4, 3, 2, 1, 1, 4, 4, 3, 2, 4, 2, 0, 3, 0, 4, 3, 0, 4, 3, 3, 3, 1, 0, 4, 4, 0, 0, 4, 4, 4, 1, 2, 3, 1, 0, 4, 1, 3, 0, 2, 2, 0, 0, 4, 0, 4, 3, 1, 3, 2, 3, 1, 0, 3, 3, 3, 3, 2, 3, 2, 1, 4, 1, 1, 3, 3, 0, 0, 2, 2, 4, 0, 3, 4, 0, 3, 4, 1, 1, 2, 0, 2, 4, 2, 3, 2, 3, 2, 3, 1, 1, 0, 0, 1, 3, 1, 3, 2, 3, 1, 2, 1, 2, 0, 3, 3] pubkeycol631 = [2, 3, 0, 4, 1, 1, 4, 1, 3, 1, 1, 3, 0, 0, 0, 4, 3, 0, 0, 4, 1, 4, 4, 4, 1, 0, 3, 4, 1, 2, 0, 1, 4, 1, 3, 1, 0, 2, 2, 0, 4, 1, 4, 3, 0, 0, 3, 3, 0, 1, 2, 1, 3, 0, 1, 2, 0, 4, 2, 0, 3, 4, 1, 3, 3, 0, 1, 1, 1, 2, 0, 4, 1, 1, 3, 0, 3, 2, 4, 4, 2, 2, 4, 4, 4, 4, 0, 0, 2, 2, 1, 3, 3, 2, 2, 1, 0, 4, 1, 0, 4, 1, 0, 1, 0, 0, 4, 2, 3, 1, 4, 2, 4, 2, 0, 3, 3, 3, 4, 3, 2, 3, 0, 1, 1, 3, 2, 2, 2, 4, 4, 4, 2, 1, 1, 2, 2, 0, 4, 1, 4, 1, 3, 0, 1, 0, 3, 2, 3, 0, 1, 4, 3, 0, 2, 4, 1, 0, 4, 3, 0, 4, 1, 0, 3, 1, 1, 3, 3, 4, 4, 2, 0, 3, 4, 2, 1, 4, 4, 0, 0, 3, 1, 1, 2, 3, 3, 3, 0, 0, 4, 0, 4, 3, 3, 4, 4, 1, 3, 4, 4, 0, 3, 3, 1, 0, 0, 3, 3, 3, 2, 3, 1, 0, 3, 2, 1, 3, 3, 3, 4, 1, 1, 0, 3, 0, 1, 1, 2, 1, 2, 4, 0, 1, 3, 2, 2, 4, 4, 1, 1, 2, 1, 3, 2, 0, 2, 2, 3, 0, 4, 4, 2, 4, 1, 1, 1, 2, 4, 1, 2, 2, 3, 3, 3, 0, 1, 2, 3, 0, 0, 4, 1, 1, 2, 3, 0, 4, 4, 4, 0, 4, 1, 4, 4, 0, 4, 0, 0, 2, 1, 2, 3, 2, 2, 0, 2, 0, 4, 3, 3, 1, 2, 4, 3, 0, 0, 3, 0, 3, 4, 2, 1, 4, 3, 3, 3, 3, 1, 3, 4, 0, 0, 2, 4, 3, 2, 3, 2, 3, 3, 3, 2, 4, 2, 2, 4, 2, 4, 0, 0, 2, 0, 1, 1, 0, 3, 3, 2, 2, 4, 2, 3, 0, 2, 4, 1, 1, 0, 1, 2, 3, 2, 2, 1, 4, 4, 1, 2, 3, 4, 4, 4, 0, 1, 3, 2, 4, 4, 3, 4, 4, 2, 2, 2, 0, 3, 2, 3, 1, 0, 2, 4, 3, 4, 1, 1, 4, 2, 0] pubkeycol632 = [1, 1, 2, 0, 1, 2, 4, 2, 3, 1, 2, 3, 1, 1, 4, 1, 4, 1, 0, 2, 1, 4, 2, 4, 2, 2, 3, 2, 3, 0, 1, 4, 3, 0, 4, 0, 4, 0, 1, 0, 1, 3, 1, 0, 1, 4, 2, 2, 3, 2, 2, 0, 1, 0, 3, 4, 0, 3, 1, 4, 4, 3, 1, 0, 3, 4, 1, 0, 2, 1, 3, 1, 4, 4, 3, 2, 4, 1, 4, 4, 0, 0, 3, 4, 3, 2, 4, 2, 3, 2, 3, 1, 3, 4, 0, 3, 3, 2, 2, 4, 1, 0, 4, 2, 2, 4, 3, 1, 0, 4, 3, 0, 3, 0, 4, 4, 4, 0, 2, 0, 0, 2, 0, 2, 1, 3, 0, 2, 1, 2, 2, 4, 1, 2, 4, 4, 4, 4, 0, 4, 2, 4, 4, 4, 2, 4, 0, 0, 4, 0, 4, 4, 1, 0, 3, 4, 1, 2, 1, 0, 1, 4, 3, 4, 2, 4, 1, 0, 4, 4, 3, 3, 3, 2, 3, 2, 2, 1, 1, 0, 4, 1, 0, 4, 3, 2, 4, 0, 1, 0, 0, 3, 3, 0, 2, 3, 4, 0, 3, 2, 1, 3, 1, 1, 0, 3, 4, 0, 1, 1, 2, 3, 1, 1, 2, 4, 3, 4, 1, 3, 4, 2, 1, 4, 1, 1, 2, 0, 2, 3, 2, 4, 4, 2, 1, 4, 2, 4, 4, 1, 1, 3, 2, 3, 2, 1, 3, 0, 4, 3, 3, 2, 2, 1, 0, 0, 3, 2, 0, 1, 4, 0, 1, 1, 2, 4, 3, 3, 4, 1, 1, 1, 0, 0, 3, 2, 4, 3, 1, 1, 0, 2, 4, 4, 2, 2, 1, 4, 3, 3, 0, 3, 1, 1, 4, 2, 2, 1, 4, 1, 4, 3, 4, 1, 2, 3, 4, 3, 3, 3, 3, 4, 0, 3, 2, 1, 4, 0, 2, 0, 1, 1, 1, 0, 2, 3, 0, 4, 3, 4, 3, 1, 3, 0, 4, 1, 2, 1, 3, 1, 3, 0, 0, 4, 0, 3, 0, 2, 0, 2, 4, 2, 0, 1, 4, 0, 4, 0, 1, 2, 3, 0, 1, 4, 0, 3, 3, 1, 3, 1, 0, 4, 4, 4, 0, 3, 4, 4, 3, 2, 1, 3, 3, 2, 0, 3, 4, 0, 2, 2, 4, 0, 0, 3, 1, 3, 2, 3, 4, 4] pubkeycol633 = [2, 1, 3, 2, 0, 0, 3, 4, 2, 0, 4, 2, 0, 2, 3, 1, 3, 1, 1, 3, 3, 0, 3, 4, 3, 1, 1, 1, 1, 0, 3, 0, 3, 0, 4, 3, 1, 3, 1, 2, 3, 3, 2, 2, 0, 3, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 3, 0, 0, 0, 2, 0, 1, 3, 3, 0, 1, 0, 4, 4, 0, 3, 2, 2, 1, 3, 4, 0, 0, 4, 4, 3, 1, 1, 3, 2, 3, 1, 4, 3, 4, 3, 0, 2, 0, 4, 2, 4, 4, 0, 1, 3, 4, 1, 2, 4, 3, 3, 0, 3, 2, 2, 0, 3, 1, 2, 0, 1, 4, 1, 4, 4, 1, 0, 4, 1, 0, 1, 0, 1, 3, 3, 4, 4, 4, 4, 1, 1, 4, 3, 2, 4, 0, 0, 4, 4, 2, 3, 2, 3, 1, 0, 4, 1, 3, 3, 0, 0, 3, 0, 3, 2, 0, 4, 1, 4, 0, 0, 3, 0, 3, 1, 3, 0, 1, 1, 0, 1, 1, 0, 2, 3, 2, 0, 1, 2, 0, 0, 3, 3, 1, 3, 3, 1, 3, 2, 3, 1, 3, 4, 0, 1, 2, 3, 0, 0, 2, 4, 3, 3, 0, 4, 0, 4, 1, 3, 4, 4, 3, 3, 1, 4, 4, 0, 3, 1, 0, 4, 1, 2, 2, 1, 0, 1, 4, 0, 2, 1, 4, 3, 4, 1, 4, 0, 4, 1, 2, 0, 0, 2, 0, 4, 4, 0, 4, 2, 1, 2, 0, 0, 2, 2, 4, 3, 0, 0, 3, 4, 0, 0, 4, 4, 3, 0, 0, 3, 0, 0, 0, 0, 3, 2, 2, 2, 2, 4, 4, 4, 1, 2, 1, 3, 0, 3, 4, 0, 4, 3, 1, 0, 1, 1, 3, 3, 1, 2, 3, 4, 4, 3, 0, 2, 0, 0, 1, 2, 1, 4, 2, 0, 4, 2, 3, 0, 0, 4, 2, 4, 0, 1, 4, 0, 1, 0, 1, 4, 0, 4, 0, 0, 0, 1, 3, 0, 0, 2, 1, 2, 4, 3, 4, 1, 4, 2, 0, 1, 4, 0, 0, 0, 4, 2, 3, 4, 0, 2, 3, 2, 2, 4, 3, 4, 3, 4, 1, 2, 0, 3, 2, 0, 0, 2, 2, 4, 2, 0, 4, 1, 4, 1, 3, 4, 1, 2, 2, 4, 2, 0, 3, 1] pubkeycol634 = [4, 0, 2, 1, 0, 4, 2, 2, 4, 0, 4, 0, 0, 1, 3, 1, 4, 3, 3, 0, 4, 3, 0, 3, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 4, 3, 4, 3, 4, 1, 4, 3, 4, 4, 1, 3, 1, 3, 0, 4, 4, 0, 1, 0, 0, 2, 0, 3, 2, 2, 2, 0, 1, 2, 3, 4, 1, 4, 2, 1, 4, 3, 3, 4, 4, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 3, 1, 1, 4, 3, 1, 3, 4, 4, 2, 3, 0, 1, 0, 3, 3, 2, 3, 0, 0, 4, 1, 4, 4, 4, 2, 0, 4, 4, 3, 2, 0, 2, 1, 2, 3, 1, 2, 4, 4, 3, 2, 4, 4, 0, 0, 0, 3, 4, 2, 0, 0, 1, 2, 2, 3, 0, 2, 2, 2, 1, 0, 0, 1, 4, 3, 2, 2, 2, 2, 4, 1, 2, 2, 0, 1, 3, 4, 3, 3, 0, 1, 0, 2, 0, 4, 1, 0, 2, 4, 3, 4, 0, 4, 1, 4, 1, 1, 0, 0, 3, 2, 2, 0, 3, 2, 4, 0, 2, 3, 3, 2, 1, 1, 0, 2, 3, 4, 4, 3, 4, 0, 2, 4, 2, 4, 0, 1, 4, 1, 0, 2, 2, 1, 0, 4, 2, 1, 0, 3, 3, 0, 3, 4, 0, 0, 2, 0, 4, 1, 4, 2, 2, 3, 1, 2, 2, 1, 2, 3, 1, 4, 4, 2, 1, 2, 4, 4, 4, 2, 0, 4, 3, 1, 3, 1, 4, 3, 0, 2, 1, 1, 3, 2, 1, 0, 1, 2, 3, 1, 3, 3, 3, 0, 3, 1, 0, 1, 0, 0, 2, 3, 0, 2, 1, 4, 2, 3, 4, 0, 4, 4, 4, 2, 1, 4, 1, 1, 2, 4, 1, 2, 1, 3, 0, 1, 4, 1, 1, 4, 1, 0, 4, 1, 3, 1, 3, 4, 1, 0, 4, 0, 1, 3, 0, 2, 1, 4, 1, 1, 1, 2, 3, 3, 1, 0, 1, 0, 4, 3, 3, 2, 4, 3, 2, 4, 0, 2, 2, 4, 4, 2, 2, 2, 1, 2, 1, 2, 0, 3, 1, 0, 1, 3, 4, 3, 3, 2, 4, 2, 0, 2, 1, 0, 1, 4, 1, 4, 2, 4, 1, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 2, 0, 0, 2] pubkeycol635 = [4, 0, 1, 4, 4, 0, 4, 0, 3, 4, 2, 2, 3, 1, 3, 0, 0, 1, 3, 1, 0, 3, 4, 4, 0, 3, 0, 1, 1, 4, 1, 4, 4, 4, 1, 3, 1, 4, 4, 1, 1, 1, 4, 4, 0, 3, 1, 4, 1, 1, 3, 0, 3, 2, 1, 3, 4, 1, 4, 0, 3, 0, 4, 3, 3, 1, 0, 2, 0, 3, 3, 0, 3, 1, 2, 0, 2, 0, 2, 0, 4, 4, 0, 0, 0, 3, 2, 2, 2, 4, 1, 3, 3, 2, 1, 2, 2, 3, 1, 1, 0, 2, 2, 2, 1, 0, 4, 1, 2, 0, 2, 4, 0, 2, 2, 2, 1, 2, 4, 2, 3, 0, 0, 3, 1, 1, 4, 2, 4, 0, 3, 0, 0, 0, 4, 3, 1, 0, 2, 0, 3, 1, 4, 2, 2, 0, 1, 1, 3, 3, 2, 2, 2, 3, 0, 0, 2, 3, 4, 1, 0, 1, 3, 3, 0, 2, 3, 0, 1, 1, 3, 2, 0, 4, 1, 0, 3, 0, 1, 2, 1, 0, 4, 4, 1, 1, 1, 0, 4, 3, 3, 4, 2, 4, 0, 1, 1, 2, 2, 1, 4, 1, 0, 1, 0, 3, 4, 4, 0, 4, 3, 0, 4, 4, 3, 3, 0, 4, 2, 1, 4, 2, 0, 4, 2, 3, 2, 2, 3, 0, 3, 4, 3, 3, 3, 2, 2, 3, 2, 1, 0, 0, 2, 1, 2, 4, 2, 2, 3, 1, 3, 4, 0, 0, 1, 2, 4, 0, 0, 0, 0, 4, 0, 4, 0, 1, 1, 2, 0, 3, 4, 4, 4, 2, 4, 2, 0, 4, 3, 1, 1, 0, 2, 0, 2, 1, 0, 4, 0, 1, 2, 4, 0, 4, 2, 1, 2, 0, 0, 4, 1, 4, 1, 2, 2, 3, 4, 4, 0, 0, 0, 3, 4, 2, 1, 3, 0, 2, 3, 4, 4, 1, 4, 2, 0, 3, 4, 1, 3, 0, 2, 0, 0, 2, 3, 0, 0, 1, 3, 2, 0, 0, 0, 4, 4, 1, 1, 4, 4, 2, 3, 0, 4, 0, 3, 1, 3, 2, 4, 0, 1, 3, 1, 1, 4, 4, 3, 3, 0, 0, 3, 1, 3, 3, 4, 4, 2, 3, 3, 3, 1, 3, 0, 3, 3, 3, 3, 0, 4, 2, 2, 0, 3, 3, 4, 1, 4, 3, 3, 4] pubkeycol636 = [0, 2, 2, 1, 1, 2, 4, 3, 2, 1, 1, 1, 2, 4, 1, 2, 0, 4, 0, 2, 2, 3, 3, 2, 2, 2, 2, 2, 4, 0, 1, 0, 1, 3, 1, 3, 3, 0, 1, 1, 3, 4, 4, 1, 1, 1, 0, 4, 3, 3, 3, 0, 3, 3, 1, 4, 2, 1, 3, 4, 0, 3, 2, 2, 2, 0, 4, 1, 1, 0, 4, 2, 2, 4, 1, 2, 4, 3, 0, 1, 2, 0, 2, 4, 4, 3, 3, 0, 1, 2, 1, 3, 0, 3, 3, 4, 4, 0, 1, 0, 3, 2, 4, 3, 1, 3, 1, 0, 2, 3, 0, 2, 3, 4, 3, 2, 0, 4, 1, 1, 0, 2, 3, 0, 1, 4, 2, 0, 2, 2, 0, 1, 4, 2, 4, 3, 4, 3, 4, 0, 1, 2, 0, 2, 4, 0, 0, 0, 1, 3, 2, 0, 0, 0, 4, 2, 3, 3, 4, 1, 1, 1, 1, 1, 4, 4, 2, 4, 1, 1, 3, 4, 0, 4, 2, 4, 2, 2, 1, 3, 0, 3, 4, 3, 0, 1, 0, 3, 2, 1, 0, 4, 2, 4, 1, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3, 4, 1, 3, 1, 4, 2, 1, 4, 4, 3, 0, 3, 2, 2, 3, 0, 3, 3, 0, 4, 2, 0, 3, 1, 1, 2, 3, 3, 1, 3, 4, 0, 0, 3, 0, 3, 2, 0, 0, 4, 4, 3, 3, 2, 0, 3, 0, 2, 1, 3, 3, 0, 4, 1, 2, 1, 4, 4, 3, 4, 4, 1, 2, 0, 0, 3, 4, 3, 3, 4, 3, 3, 4, 2, 0, 0, 4, 0, 2, 3, 2, 1, 4, 0, 0, 0, 2, 3, 1, 3, 0, 3, 2, 0, 1, 1, 1, 0, 1, 4, 2, 0, 0, 3, 3, 2, 3, 3, 3, 2, 4, 4, 4, 3, 4, 1, 3, 0, 3, 1, 2, 4, 3, 1, 0, 2, 0, 1, 3, 3, 0, 3, 4, 1, 0, 4, 2, 4, 3, 2, 1, 0, 3, 4, 3, 4, 0, 4, 2, 2, 4, 0, 2, 1, 0, 0, 0, 1, 3, 2, 2, 1, 1, 0, 4, 4, 4, 4, 1, 0, 4, 3, 1, 4, 4, 4, 2, 0, 0, 1, 4, 3, 4, 2, 4, 2, 2, 0, 4, 2, 1, 1, 3, 1, 4] pubkeycol637 = [2, 0, 4, 1, 1, 3, 4, 3, 4, 4, 4, 2, 0, 0, 4, 1, 0, 4, 4, 4, 1, 0, 2, 1, 4, 2, 1, 4, 0, 1, 1, 4, 2, 3, 0, 4, 1, 2, 4, 2, 2, 1, 0, 0, 0, 0, 4, 1, 4, 1, 3, 2, 3, 3, 2, 1, 0, 4, 1, 3, 4, 3, 2, 2, 1, 2, 2, 3, 3, 0, 1, 0, 0, 2, 3, 4, 4, 4, 2, 1, 1, 3, 1, 0, 1, 2, 3, 0, 4, 1, 4, 0, 3, 0, 1, 3, 4, 2, 2, 2, 0, 2, 3, 4, 3, 3, 0, 3, 3, 3, 1, 3, 1, 4, 1, 1, 3, 0, 4, 4, 4, 3, 3, 0, 4, 2, 2, 4, 4, 4, 3, 4, 0, 2, 4, 4, 3, 1, 0, 1, 4, 1, 4, 3, 4, 0, 4, 2, 2, 1, 3, 2, 1, 1, 0, 4, 1, 4, 0, 0, 1, 2, 2, 3, 1, 0, 0, 0, 0, 3, 1, 1, 4, 2, 4, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 3, 1, 1, 4, 3, 3, 3, 4, 4, 0, 2, 1, 4, 0, 3, 1, 0, 2, 3, 1, 3, 2, 4, 2, 0, 2, 3, 3, 0, 2, 4, 4, 3, 0, 4, 4, 1, 2, 3, 0, 3, 4, 3, 1, 2, 0, 0, 4, 0, 0, 0, 1, 2, 2, 0, 1, 4, 3, 2, 0, 3, 2, 3, 3, 4, 1, 3, 3, 4, 0, 0, 2, 1, 1, 4, 4, 3, 3, 2, 3, 4, 4, 0, 1, 1, 1, 0, 1, 2, 1, 4, 1, 3, 3, 4, 0, 2, 3, 0, 2, 1, 1, 0, 4, 4, 1, 1, 0, 0, 3, 4, 4, 2, 4, 3, 3, 1, 3, 4, 4, 1, 4, 2, 2, 3, 0, 1, 4, 1, 4, 4, 4, 1, 3, 1, 0, 3, 4, 0, 0, 4, 4, 4, 2, 2, 4, 1, 2, 0, 2, 4, 3, 0, 2, 2, 1, 1, 1, 2, 1, 3, 0, 0, 3, 2, 0, 2, 2, 0, 4, 0, 2, 3, 4, 3, 1, 1, 1, 1, 4, 0, 0, 0, 4, 3, 4, 2, 3, 0, 4, 3, 0, 3, 1, 0, 2, 0, 4, 0, 3, 2, 2, 3, 3, 4, 3, 4, 3, 1, 2, 3] pubkeycol638 = [0, 3, 4, 4, 0, 2, 4, 4, 3, 0, 4, 1, 4, 3, 4, 1, 2, 0, 2, 1, 2, 3, 4, 4, 3, 3, 0, 3, 4, 2, 3, 0, 2, 4, 1, 2, 3, 1, 2, 1, 3, 1, 3, 3, 2, 4, 3, 4, 0, 2, 1, 0, 4, 2, 4, 3, 0, 2, 1, 4, 3, 2, 3, 3, 2, 0, 1, 1, 4, 2, 1, 0, 2, 0, 0, 1, 3, 4, 3, 3, 0, 2, 1, 3, 3, 1, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 1, 4, 2, 3, 2, 4, 2, 1, 1, 1, 4, 1, 4, 2, 3, 1, 1, 1, 2, 3, 1, 4, 4, 4, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 3, 4, 0, 1, 4, 2, 3, 0, 1, 3, 2, 1, 2, 0, 2, 4, 1, 1, 0, 2, 4, 0, 1, 1, 1, 0, 0, 1, 2, 4, 0, 1, 1, 3, 1, 1, 3, 2, 2, 4, 2, 0, 3, 1, 4, 3, 0, 4, 4, 4, 3, 3, 4, 1, 0, 4, 1, 1, 4, 2, 1, 1, 1, 3, 1, 0, 1, 0, 3, 4, 0, 3, 1, 3, 1, 0, 0, 2, 4, 1, 4, 0, 4, 1, 2, 4, 3, 2, 3, 3, 0, 2, 0, 4, 1, 3, 3, 1, 4, 4, 0, 3, 1, 4, 4, 2, 0, 1, 1, 1, 1, 3, 2, 1, 4, 1, 4, 1, 2, 2, 3, 4, 4, 1, 2, 2, 2, 4, 2, 0, 1, 4, 3, 4, 2, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 3, 3, 2, 3, 1, 3, 4, 3, 3, 4, 3, 0, 4, 2, 2, 3, 2, 2, 3, 3, 4, 1, 1, 4, 4, 0, 2, 4, 0, 4, 0, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 3, 0, 0, 0, 2, 2, 4, 4, 2, 2, 1, 0, 2, 1, 1, 4, 4, 1, 0, 0, 3, 3, 4, 2, 0, 1, 1, 2, 3, 0, 2, 4, 0, 0, 2, 2, 3, 4, 2, 2, 0, 4, 4, 0, 1, 3, 0, 3, 3, 0, 2, 0, 4, 0, 0, 4, 2, 1, 2, 0, 1, 1, 4, 2, 1, 4, 0, 3, 2, 1, 0, 2, 0, 0, 3, 0] pubkeycol639 = [3, 0, 2, 2, 2, 4, 1, 4, 4, 4, 1, 3, 0, 1, 1, 0, 1, 3, 2, 2, 0, 1, 1, 2, 0, 3, 2, 0, 4, 4, 4, 3, 2, 3, 1, 4, 1, 2, 1, 1, 4, 4, 4, 2, 3, 4, 3, 3, 2, 3, 2, 1, 3, 0, 2, 0, 4, 3, 0, 3, 0, 1, 4, 0, 1, 2, 3, 1, 0, 2, 0, 3, 2, 3, 0, 2, 4, 0, 1, 1, 4, 1, 0, 4, 4, 1, 0, 3, 3, 3, 3, 1, 4, 3, 0, 3, 4, 1, 2, 4, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 4, 0, 1, 3, 2, 1, 4, 2, 0, 3, 3, 4, 2, 2, 1, 4, 1, 0, 4, 0, 4, 0, 1, 1, 2, 2, 2, 0, 1, 4, 3, 4, 1, 1, 4, 4, 0, 4, 1, 4, 4, 1, 1, 4, 3, 1, 1, 1, 3, 0, 4, 2, 1, 0, 1, 3, 1, 2, 0, 3, 1, 3, 0, 0, 3, 4, 1, 1, 2, 2, 4, 1, 0, 2, 1, 3, 2, 0, 1, 1, 3, 1, 4, 0, 0, 0, 0, 3, 2, 1, 1, 3, 4, 2, 1, 4, 3, 2, 2, 1, 0, 3, 1, 2, 2, 3, 2, 1, 3, 2, 1, 1, 4, 1, 3, 3, 2, 0, 4, 2, 4, 0, 2, 4, 0, 2, 3, 4, 4, 1, 4, 2, 2, 3, 3, 2, 0, 1, 1, 3, 2, 3, 0, 3, 3, 0, 0, 4, 2, 2, 3, 3, 3, 0, 4, 4, 4, 0, 1, 0, 2, 4, 2, 1, 2, 2, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 4, 3, 1, 4, 4, 4, 2, 1, 3, 1, 1, 2, 1, 0, 1, 1, 3, 4, 2, 1, 0, 2, 0, 4, 1, 2, 4, 3, 4, 3, 1, 4, 1, 2, 4, 3, 3, 0, 3, 4, 0, 2, 3, 1, 2, 2, 3, 2, 2, 4, 3, 2, 4, 4, 4, 4, 3, 3, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 0, 0, 0, 4, 0, 0, 4, 1, 2, 0, 2, 2, 1, 2, 3, 4, 1, 2, 0, 4, 1, 2, 2, 0, 4, 4, 2, 3] pubkeycol640 = [4, 1, 0, 4, 2, 2, 0, 3, 4, 0, 4, 0, 1, 2, 4, 3, 0, 4, 0, 0, 1, 2, 0, 1, 1, 0, 0, 4, 4, 3, 4, 3, 3, 2, 1, 3, 2, 3, 2, 2, 4, 1, 2, 1, 4, 2, 0, 1, 0, 3, 0, 3, 1, 1, 2, 0, 0, 3, 4, 0, 1, 2, 0, 1, 4, 0, 4, 0, 4, 2, 2, 4, 3, 1, 1, 3, 1, 2, 2, 0, 3, 2, 4, 1, 0, 2, 1, 2, 0, 4, 1, 4, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 4, 1, 4, 3, 4, 1, 0, 3, 0, 1, 1, 3, 1, 2, 2, 4, 0, 1, 2, 3, 0, 4, 0, 0, 3, 4, 2, 0, 4, 0, 2, 4, 1, 4, 1, 1, 1, 3, 3, 4, 4, 1, 1, 2, 2, 3, 1, 2, 4, 4, 2, 4, 4, 1, 4, 2, 3, 1, 4, 4, 3, 2, 0, 2, 2, 1, 4, 3, 1, 2, 2, 2, 2, 0, 4, 1, 2, 4, 0, 2, 0, 2, 1, 0, 4, 1, 2, 0, 3, 0, 0, 2, 3, 1, 2, 4, 2, 2, 2, 1, 0, 3, 4, 4, 4, 2, 1, 1, 3, 1, 0, 2, 2, 1, 2, 1, 1, 4, 4, 4, 4, 4, 3, 1, 3, 0, 4, 4, 4, 3, 2, 1, 1, 4, 2, 0, 2, 2, 3, 2, 3, 3, 1, 0, 2, 3, 2, 1, 4, 1, 1, 2, 2, 4, 3, 4, 0, 0, 0, 3, 2, 2, 0, 1, 4, 0, 4, 2, 3, 3, 0, 3, 4, 0, 4, 0, 4, 3, 2, 2, 0, 2, 3, 2, 3, 1, 3, 0, 0, 4, 2, 0, 2, 3, 2, 4, 2, 3, 4, 2, 2, 0, 1, 1, 0, 4, 2, 4, 1, 2, 4, 1, 3, 4, 2, 0, 3, 0, 2, 1, 3, 2, 1, 3, 3, 4, 3, 4, 3, 0, 3, 3, 3, 3, 0, 4, 1, 2, 3, 2, 2, 0, 2, 2, 1, 4, 4, 2, 0, 0, 4, 0, 3, 0, 4, 4, 4, 1, 1, 0, 2, 0, 3, 1, 0, 1, 3, 0, 4, 2, 1, 1, 0, 0, 2, 1, 1, 1, 3, 3, 1, 0, 4, 0, 2, 4, 0, 3, 3, 1, 0, 1, 4, 1, 1, 2, 2, 0] pubkeycol641 = [0, 4, 4, 1, 4, 1, 0, 0, 3, 2, 0, 2, 2, 0, 2, 1, 0, 3, 1, 0, 3, 3, 2, 0, 4, 3, 2, 1, 1, 4, 1, 2, 3, 0, 2, 0, 4, 4, 2, 0, 3, 3, 1, 0, 4, 2, 2, 2, 3, 0, 2, 1, 4, 3, 3, 3, 4, 2, 0, 0, 4, 4, 4, 1, 2, 4, 2, 4, 3, 4, 0, 2, 4, 3, 4, 2, 1, 4, 1, 4, 2, 2, 2, 2, 2, 3, 3, 2, 1, 2, 2, 4, 1, 1, 3, 4, 3, 0, 2, 4, 1, 1, 3, 2, 4, 2, 2, 1, 3, 0, 3, 3, 4, 3, 2, 4, 4, 3, 3, 3, 1, 2, 3, 2, 3, 0, 0, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 1, 1, 0, 2, 4, 0, 0, 4, 0, 3, 0, 4, 4, 2, 4, 3, 1, 2, 4, 3, 0, 3, 4, 3, 4, 4, 4, 2, 0, 2, 3, 2, 3, 1, 0, 0, 3, 1, 2, 4, 4, 2, 3, 3, 4, 3, 4, 2, 4, 2, 4, 3, 2, 0, 3, 3, 2, 3, 1, 1, 2, 1, 4, 3, 3, 3, 0, 4, 3, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 4, 4, 3, 3, 1, 4, 2, 3, 1, 0, 1, 0, 3, 1, 1, 4, 1, 4, 1, 0, 2, 4, 4, 4, 1, 3, 3, 2, 2, 2, 3, 1, 0, 3, 2, 4, 1, 0, 0, 3, 1, 4, 4, 3, 2, 4, 1, 2, 4, 0, 0, 3, 4, 2, 3, 2, 4, 3, 1, 2, 3, 2, 1, 0, 2, 1, 0, 3, 1, 2, 3, 0, 2, 1, 3, 4, 2, 1, 2, 1, 3, 1, 4, 3, 1, 2, 4, 1, 0, 3, 1, 4, 2, 1, 0, 1, 0, 3, 2, 3, 0, 0, 1, 0, 2, 3, 4, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 3, 4, 4, 1, 1, 2, 1, 4, 3, 1, 2, 3, 4, 1, 3, 1, 0, 2, 0, 3, 1, 0, 3, 2, 4, 3, 2, 2, 1, 0, 3, 3, 3, 2, 1, 2, 4, 0, 1, 3, 1, 0, 2, 1, 4, 4, 4, 2, 3, 4, 4, 2, 4, 1, 1, 4, 1, 1, 3, 2, 4, 4, 2, 1, 0] pubkeycol642 = [1, 0, 2, 1, 1, 4, 4, 0, 3, 2, 3, 1, 3, 0, 0, 3, 4, 3, 0, 4, 3, 0, 0, 4, 4, 1, 1, 4, 2, 4, 0, 2, 0, 2, 1, 3, 3, 2, 1, 3, 0, 2, 1, 0, 0, 3, 1, 3, 1, 0, 1, 3, 3, 2, 2, 2, 4, 2, 3, 4, 3, 0, 4, 0, 1, 4, 4, 0, 3, 1, 1, 3, 4, 1, 3, 4, 0, 2, 3, 2, 0, 1, 1, 2, 2, 3, 1, 2, 2, 1, 1, 0, 4, 1, 1, 4, 1, 1, 2, 3, 4, 1, 1, 1, 2, 3, 3, 2, 2, 1, 3, 0, 3, 1, 1, 1, 3, 4, 2, 4, 0, 1, 3, 1, 0, 3, 3, 2, 2, 3, 4, 1, 3, 1, 1, 3, 4, 3, 2, 4, 2, 1, 1, 3, 1, 2, 4, 2, 3, 1, 3, 1, 1, 0, 3, 2, 2, 1, 1, 2, 4, 4, 0, 3, 4, 3, 3, 2, 1, 2, 3, 2, 1, 0, 3, 0, 3, 2, 1, 2, 2, 0, 3, 1, 4, 0, 3, 4, 4, 1, 4, 2, 2, 4, 2, 3, 1, 1, 3, 1, 1, 0, 4, 1, 2, 3, 0, 4, 2, 4, 4, 1, 4, 1, 2, 0, 0, 4, 1, 0, 3, 1, 2, 2, 2, 1, 1, 3, 0, 0, 4, 1, 2, 0, 0, 4, 1, 1, 3, 4, 3, 0, 2, 3, 1, 1, 2, 3, 2, 3, 0, 2, 0, 1, 3, 2, 0, 3, 4, 1, 0, 4, 0, 4, 2, 2, 0, 3, 1, 3, 2, 1, 4, 1, 4, 3, 3, 1, 1, 2, 1, 4, 4, 1, 4, 0, 0, 1, 3, 1, 0, 2, 3, 2, 2, 0, 2, 0, 3, 0, 3, 2, 1, 3, 4, 2, 2, 0, 4, 2, 2, 1, 1, 1, 3, 4, 0, 2, 4, 0, 2, 4, 4, 0, 1, 2, 3, 1, 2, 4, 4, 4, 2, 4, 1, 1, 2, 1, 0, 0, 0, 0, 0, 3, 4, 1, 3, 2, 4, 4, 4, 4, 1, 2, 4, 3, 3, 4, 2, 3, 3, 2, 2, 0, 4, 0, 4, 3, 1, 4, 1, 0, 2, 4, 2, 1, 1, 0, 2, 3, 1, 1, 0, 1, 4, 1, 4, 3, 4, 2, 3, 0, 3, 1, 2, 0, 3, 0, 3, 2] pubkeycol643 = [3, 4, 4, 4, 4, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 4, 3, 0, 0, 2, 1, 4, 2, 1, 3, 2, 3, 3, 4, 3, 1, 4, 4, 4, 2, 1, 2, 4, 4, 2, 0, 2, 4, 2, 2, 2, 3, 1, 3, 1, 2, 3, 3, 2, 1, 1, 0, 2, 1, 1, 0, 4, 0, 0, 1, 4, 0, 4, 2, 2, 2, 4, 1, 3, 3, 2, 1, 3, 4, 4, 4, 3, 4, 0, 4, 2, 3, 2, 2, 3, 2, 3, 2, 4, 4, 2, 4, 0, 2, 3, 4, 3, 1, 0, 4, 2, 0, 2, 1, 3, 3, 0, 3, 3, 3, 2, 1, 3, 4, 2, 2, 4, 0, 4, 3, 2, 4, 0, 3, 1, 4, 2, 1, 3, 1, 0, 4, 2, 3, 4, 4, 1, 4, 4, 1, 4, 1, 1, 0, 0, 0, 0, 3, 0, 3, 0, 2, 2, 4, 2, 3, 2, 3, 4, 0, 1, 0, 3, 3, 0, 1, 0, 1, 2, 3, 0, 4, 0, 2, 1, 1, 0, 4, 4, 2, 4, 0, 2, 4, 2, 2, 4, 0, 2, 4, 2, 3, 0, 2, 1, 2, 3, 0, 4, 3, 1, 3, 2, 4, 2, 1, 4, 4, 3, 3, 2, 1, 4, 3, 1, 1, 3, 2, 0, 3, 2, 3, 2, 2, 0, 3, 4, 2, 2, 1, 0, 4, 3, 1, 0, 2, 1, 2, 4, 1, 3, 0, 1, 1, 2, 4, 1, 4, 2, 0, 0, 3, 2, 3, 0, 1, 4, 2, 2, 0, 3, 0, 0, 2, 1, 0, 3, 0, 0, 2, 4, 1, 2, 2, 0, 3, 3, 3, 2, 0, 4, 4, 3, 4, 2, 0, 3, 1, 3, 0, 2, 3, 0, 4, 4, 2, 1, 4, 2, 1, 4, 2, 3, 3, 3, 1, 1, 2, 0, 4, 1, 2, 3, 2, 0, 4, 0, 3, 4, 4, 1, 3, 0, 0, 1, 0, 3, 1, 3, 3, 0, 1, 4, 0, 1, 4, 3, 3, 2, 1, 0, 4, 3, 2, 3, 0, 3, 4, 3, 1, 3, 2, 2, 0, 1, 3, 1, 3, 2, 3, 0, 4, 2, 1, 1, 0, 0, 4, 4, 2, 1, 4, 0, 1, 0, 4, 3, 1, 3, 0, 1, 1, 2, 2, 1, 0, 4, 2, 3, 4, 1, 4, 1] pubkeycol644 = [3, 1, 2, 1, 1, 1, 3, 1, 4, 3, 0, 1, 0, 2, 3, 2, 4, 4, 0, 3, 1, 4, 4, 2, 4, 0, 1, 1, 0, 2, 3, 4, 4, 4, 2, 2, 0, 4, 4, 2, 0, 3, 4, 1, 3, 0, 4, 0, 1, 4, 4, 4, 2, 0, 1, 0, 2, 4, 4, 1, 2, 4, 4, 4, 2, 0, 2, 1, 0, 0, 3, 2, 3, 2, 4, 0, 4, 2, 1, 4, 3, 0, 3, 1, 1, 0, 1, 1, 4, 1, 0, 0, 4, 0, 0, 2, 2, 2, 4, 1, 0, 2, 2, 1, 3, 0, 4, 3, 3, 1, 2, 2, 3, 3, 0, 4, 2, 0, 4, 3, 2, 3, 2, 0, 3, 0, 3, 0, 0, 1, 2, 1, 3, 2, 4, 4, 0, 3, 2, 3, 4, 4, 0, 4, 2, 3, 4, 3, 3, 0, 1, 4, 4, 1, 0, 2, 2, 4, 2, 2, 1, 2, 2, 1, 3, 4, 4, 1, 4, 3, 1, 2, 3, 0, 1, 0, 1, 2, 4, 2, 1, 3, 4, 1, 2, 2, 3, 1, 3, 3, 4, 1, 0, 0, 4, 1, 3, 4, 1, 0, 3, 2, 2, 1, 1, 2, 4, 2, 1, 1, 1, 4, 2, 1, 4, 0, 3, 2, 1, 2, 4, 1, 3, 4, 4, 2, 1, 2, 0, 4, 4, 1, 2, 0, 1, 3, 1, 1, 2, 0, 0, 2, 0, 4, 0, 1, 4, 3, 3, 0, 2, 3, 0, 0, 4, 0, 2, 2, 0, 3, 0, 2, 0, 3, 4, 2, 1, 3, 0, 4, 0, 0, 3, 2, 2, 3, 1, 3, 2, 2, 3, 4, 2, 2, 3, 2, 0, 2, 1, 1, 1, 4, 4, 3, 4, 0, 4, 2, 3, 1, 0, 2, 3, 1, 0, 3, 3, 2, 3, 2, 1, 1, 2, 1, 3, 2, 0, 1, 2, 0, 3, 1, 0, 4, 1, 0, 1, 1, 2, 4, 2, 0, 0, 2, 2, 1, 3, 3, 4, 1, 0, 3, 1, 0, 1, 2, 0, 4, 1, 0, 2, 4, 0, 2, 1, 3, 4, 0, 0, 4, 0, 4, 0, 1, 1, 3, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 4, 2, 3, 3, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 3, 3, 2, 1, 0, 3, 1, 4] pubkeycol645 = [0, 1, 4, 1, 0, 1, 4, 0, 4, 1, 2, 1, 3, 2, 1, 4, 2, 3, 2, 3, 4, 4, 3, 1, 1, 4, 2, 4, 4, 0, 2, 3, 3, 1, 3, 2, 2, 2, 1, 4, 2, 2, 2, 0, 0, 4, 1, 4, 3, 2, 3, 0, 3, 1, 4, 4, 2, 0, 4, 1, 3, 0, 3, 0, 0, 4, 3, 2, 0, 1, 4, 0, 4, 2, 0, 4, 4, 3, 4, 0, 3, 4, 1, 2, 2, 0, 1, 0, 3, 1, 0, 4, 2, 1, 1, 1, 3, 3, 0, 4, 0, 3, 2, 2, 1, 3, 3, 0, 3, 3, 2, 2, 1, 0, 0, 1, 2, 0, 3, 3, 3, 2, 3, 0, 4, 4, 1, 4, 4, 3, 2, 3, 2, 0, 3, 4, 0, 4, 3, 2, 0, 2, 0, 3, 1, 2, 2, 1, 0, 1, 1, 4, 0, 1, 4, 4, 0, 1, 1, 4, 4, 0, 0, 3, 4, 1, 4, 4, 0, 0, 2, 4, 4, 2, 0, 1, 3, 0, 3, 0, 4, 0, 2, 3, 0, 1, 4, 1, 1, 1, 1, 0, 2, 4, 1, 2, 2, 2, 2, 0, 0, 3, 1, 1, 3, 0, 2, 2, 2, 2, 1, 3, 0, 2, 3, 2, 1, 0, 3, 2, 2, 1, 0, 3, 3, 1, 4, 1, 1, 2, 1, 1, 1, 4, 3, 3, 1, 2, 1, 1, 2, 0, 4, 4, 3, 4, 1, 2, 0, 0, 4, 4, 4, 0, 4, 1, 3, 0, 3, 0, 1, 0, 3, 1, 0, 1, 2, 1, 3, 4, 0, 0, 0, 1, 4, 0, 2, 1, 1, 2, 0, 1, 0, 4, 1, 1, 0, 0, 2, 0, 3, 1, 3, 1, 4, 0, 4, 4, 2, 4, 0, 3, 3, 0, 3, 4, 0, 2, 4, 0, 3, 3, 4, 0, 4, 2, 2, 1, 3, 1, 4, 2, 0, 4, 2, 3, 1, 4, 0, 2, 3, 3, 2, 1, 4, 1, 0, 3, 0, 1, 1, 2, 2, 2, 1, 3, 4, 2, 3, 0, 4, 0, 0, 2, 3, 1, 1, 0, 1, 0, 3, 2, 2, 0, 2, 1, 3, 3, 3, 0, 0, 4, 3, 3, 2, 1, 0, 4, 1, 1, 1, 0, 2, 3, 2, 2, 1, 0, 0, 2, 0, 0, 3, 2, 4, 1, 4, 4, 3, 4] pubkeycol646 = [3, 0, 2, 2, 2, 1, 1, 2, 1, 0, 3, 4, 0, 3, 2, 4, 1, 4, 1, 3, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 3, 1, 1, 2, 1, 0, 3, 1, 0, 1, 2, 4, 4, 2, 0, 2, 1, 2, 4, 4, 1, 4, 4, 0, 0, 4, 0, 1, 0, 1, 2, 0, 4, 4, 1, 4, 1, 1, 1, 0, 0, 3, 1, 3, 3, 0, 4, 4, 4, 4, 3, 3, 4, 4, 1, 4, 4, 2, 2, 0, 0, 2, 4, 4, 0, 3, 4, 1, 3, 3, 4, 3, 0, 1, 1, 1, 4, 1, 1, 0, 2, 0, 4, 1, 3, 1, 4, 2, 4, 0, 1, 0, 1, 1, 0, 2, 1, 4, 0, 3, 4, 0, 0, 1, 4, 4, 2, 1, 0, 3, 0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 4, 4, 1, 4, 3, 3, 1, 2, 2, 1, 4, 2, 4, 3, 0, 1, 0, 0, 2, 3, 0, 0, 3, 0, 1, 3, 2, 4, 1, 0, 0, 4, 2, 2, 1, 0, 0, 0, 0, 4, 1, 4, 1, 2, 3, 2, 4, 3, 1, 0, 1, 1, 4, 2, 3, 4, 2, 1, 3, 4, 4, 3, 1, 0, 2, 1, 2, 3, 2, 2, 2, 2, 0, 0, 0, 2, 3, 3, 2, 2, 1, 2, 1, 2, 4, 4, 1, 0, 1, 3, 3, 2, 2, 1, 4, 3, 2, 0, 2, 3, 2, 3, 3, 0, 1, 0, 2, 4, 3, 3, 1, 0, 3, 1, 3, 4, 3, 0, 3, 0, 2, 0, 0, 2, 1, 1, 4, 3, 0, 2, 1, 4, 0, 2, 3, 4, 2, 2, 4, 2, 2, 3, 2, 2, 1, 4, 4, 1, 3, 2, 0, 3, 4, 1, 4, 4, 3, 4, 3, 1, 4, 2, 1, 2, 3, 4, 1, 4, 4, 0, 4, 1, 2, 2, 2, 3, 0, 1, 2, 4, 2, 1, 4, 4, 0, 3, 1, 3, 1, 0, 0, 3, 1, 0, 1, 4, 3, 0, 3, 0, 0, 3, 4, 1, 2, 4, 4, 3, 4, 4, 1, 3, 2, 2, 2, 4, 3, 3, 4, 0, 1, 4, 1, 0, 3, 0, 1, 4, 4, 1, 2, 4, 1, 0, 2, 1, 0, 3, 0, 1, 2, 1, 4, 1, 2, 2, 1, 0, 3] pubkeycol647 = [0, 1, 0, 4, 4, 4, 3, 1, 3, 2, 2, 4, 2, 0, 4, 0, 4, 1, 0, 4, 2, 0, 0, 1, 0, 2, 2, 3, 2, 2, 2, 4, 1, 0, 3, 1, 2, 2, 4, 3, 3, 2, 2, 1, 2, 0, 2, 0, 3, 2, 1, 3, 4, 0, 2, 3, 2, 2, 0, 2, 1, 0, 2, 0, 2, 3, 2, 4, 3, 4, 4, 3, 2, 4, 4, 3, 0, 2, 1, 3, 2, 1, 4, 0, 2, 4, 4, 0, 1, 3, 0, 1, 0, 4, 0, 0, 2, 3, 1, 1, 4, 3, 3, 1, 1, 0, 3, 4, 3, 3, 3, 3, 2, 3, 4, 1, 3, 1, 4, 1, 0, 2, 1, 3, 3, 2, 4, 3, 4, 1, 4, 4, 4, 2, 1, 3, 1, 1, 2, 4, 1, 4, 2, 3, 3, 0, 1, 4, 3, 0, 2, 3, 0, 1, 0, 2, 4, 2, 1, 4, 3, 3, 2, 4, 1, 3, 3, 3, 4, 4, 1, 1, 0, 4, 2, 4, 4, 0, 2, 1, 1, 4, 2, 2, 4, 0, 1, 0, 4, 3, 3, 1, 0, 4, 4, 4, 1, 0, 4, 4, 2, 0, 0, 2, 1, 0, 2, 0, 1, 4, 0, 3, 4, 0, 2, 4, 3, 3, 4, 3, 1, 3, 2, 0, 4, 1, 3, 3, 4, 2, 1, 0, 1, 2, 3, 1, 1, 0, 1, 2, 0, 2, 4, 1, 4, 4, 3, 1, 1, 3, 2, 2, 2, 4, 3, 4, 4, 0, 3, 1, 3, 3, 1, 3, 3, 3, 3, 4, 1, 1, 3, 1, 1, 2, 4, 2, 2, 0, 1, 4, 4, 0, 3, 3, 2, 3, 0, 3, 4, 2, 2, 3, 0, 4, 2, 0, 0, 4, 4, 0, 4, 4, 4, 4, 1, 1, 4, 0, 1, 3, 2, 2, 2, 3, 1, 4, 1, 3, 0, 1, 2, 2, 4, 1, 3, 4, 2, 1, 2, 0, 4, 1, 3, 2, 0, 4, 2, 0, 3, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 3, 4, 3, 4, 1, 4, 1, 3, 4, 0, 1, 1, 4, 1, 4, 4, 3, 2, 2, 1, 4, 1, 3, 1, 2, 4, 0, 3, 3, 3, 4, 4, 3, 2, 2, 0, 4, 1, 3, 4, 0, 4, 1, 4, 3, 2, 3, 4, 3] pubkeycol648 = [2, 4, 3, 3, 3, 2, 3, 3, 4, 0, 3, 3, 0, 3, 1, 0, 0, 3, 0, 4, 4, 4, 4, 0, 3, 2, 0, 2, 3, 0, 4, 2, 2, 2, 4, 3, 1, 2, 2, 2, 0, 4, 3, 3, 3, 0, 1, 2, 3, 3, 1, 0, 0, 0, 3, 1, 0, 3, 2, 4, 3, 0, 0, 0, 4, 4, 1, 1, 0, 1, 2, 2, 1, 3, 2, 2, 0, 1, 1, 1, 1, 2, 3, 2, 2, 2, 4, 3, 0, 3, 1, 1, 2, 0, 2, 4, 4, 0, 4, 2, 2, 4, 3, 1, 2, 2, 2, 0, 0, 0, 0, 4, 2, 3, 3, 0, 0, 4, 4, 1, 0, 4, 1, 2, 2, 1, 1, 3, 1, 3, 3, 2, 0, 3, 1, 2, 2, 1, 2, 3, 2, 4, 0, 2, 2, 3, 1, 2, 0, 0, 0, 4, 0, 2, 3, 4, 3, 4, 4, 0, 1, 0, 3, 2, 1, 4, 1, 0, 1, 4, 3, 1, 1, 1, 4, 0, 1, 3, 4, 2, 4, 3, 0, 2, 0, 0, 4, 4, 1, 2, 0, 3, 2, 3, 4, 3, 0, 0, 4, 1, 4, 3, 4, 0, 3, 4, 2, 1, 4, 3, 0, 3, 4, 1, 1, 4, 1, 0, 1, 1, 4, 1, 4, 2, 2, 4, 3, 1, 3, 4, 0, 3, 1, 3, 4, 2, 4, 1, 4, 3, 0, 2, 4, 2, 3, 1, 2, 1, 2, 4, 3, 3, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 3, 4, 3, 4, 2, 4, 0, 0, 1, 3, 0, 2, 4, 1, 4, 3, 2, 0, 1, 0, 3, 1, 0, 1, 0, 3, 2, 3, 1, 1, 3, 2, 2, 4, 1, 0, 1, 3, 4, 0, 4, 0, 1, 4, 2, 3, 1, 0, 0, 1, 0, 2, 4, 2, 0, 3, 1, 1, 1, 2, 3, 1, 4, 3, 2, 2, 0, 0, 0, 1, 3, 4, 1, 0, 3, 1, 4, 1, 2, 4, 4, 1, 2, 2, 2, 0, 2, 1, 1, 4, 0, 1, 2, 0, 4, 3, 0, 3, 4, 1, 4, 3, 3, 3, 3, 3, 4, 2, 2, 0, 4, 3, 1, 4, 1, 4, 3, 0, 2, 2, 4, 2, 2, 1, 1, 2, 3, 0, 1, 0, 2, 3, 1, 2, 2, 1, 2, 4] pubkeycol649 = [4, 4, 4, 4, 2, 0, 2, 3, 1, 2, 2, 2, 1, 3, 2, 0, 3, 3, 2, 4, 2, 1, 2, 4, 1, 4, 1, 1, 2, 3, 0, 1, 0, 1, 1, 3, 3, 1, 3, 0, 0, 0, 2, 2, 4, 3, 3, 4, 4, 2, 0, 4, 3, 3, 0, 4, 3, 0, 0, 4, 1, 1, 3, 2, 3, 3, 0, 1, 3, 0, 2, 4, 1, 1, 1, 4, 2, 1, 1, 3, 1, 3, 2, 1, 2, 3, 0, 4, 4, 3, 2, 1, 3, 3, 4, 3, 0, 3, 4, 0, 0, 0, 1, 4, 0, 3, 2, 1, 1, 0, 2, 4, 3, 2, 1, 1, 0, 0, 4, 4, 2, 1, 0, 0, 1, 1, 4, 3, 3, 0, 3, 0, 3, 0, 3, 1, 2, 1, 0, 2, 0, 0, 0, 3, 1, 3, 2, 4, 0, 2, 3, 1, 4, 2, 4, 2, 2, 4, 0, 0, 1, 4, 3, 2, 0, 4, 1, 0, 1, 1, 2, 2, 1, 0, 3, 1, 1, 0, 1, 3, 0, 1, 3, 1, 1, 0, 4, 3, 1, 0, 0, 0, 4, 2, 2, 0, 2, 0, 2, 4, 4, 2, 2, 3, 0, 0, 2, 1, 4, 2, 4, 4, 2, 3, 1, 2, 1, 0, 4, 4, 4, 3, 0, 1, 1, 4, 0, 2, 0, 3, 2, 2, 4, 3, 2, 2, 2, 2, 3, 2, 4, 3, 0, 1, 0, 3, 0, 4, 4, 4, 3, 3, 0, 4, 0, 2, 4, 0, 1, 2, 1, 2, 3, 1, 1, 0, 3, 2, 1, 0, 1, 4, 0, 4, 2, 1, 2, 3, 1, 0, 1, 0, 3, 4, 0, 1, 2, 1, 4, 2, 0, 0, 4, 2, 1, 0, 1, 2, 4, 1, 3, 3, 4, 3, 0, 4, 2, 1, 0, 1, 0, 1, 4, 2, 0, 3, 2, 4, 4, 1, 3, 0, 0, 3, 4, 2, 2, 1, 3, 4, 1, 4, 3, 0, 2, 2, 3, 3, 3, 3, 4, 0, 0, 0, 2, 4, 4, 2, 4, 0, 0, 0, 2, 2, 0, 1, 1, 2, 3, 0, 2, 3, 3, 4, 0, 3, 0, 3, 2, 2, 3, 2, 3, 4, 1, 2, 0, 2, 4, 4, 4, 4, 1, 3, 0, 4, 3, 3, 3, 4, 2, 0, 2, 4, 1, 1, 2, 1, 3, 2] pubkeycol650 = [0, 2, 3, 4, 1, 0, 3, 2, 1, 2, 1, 2, 0, 0, 2, 2, 3, 1, 1, 0, 2, 1, 0, 4, 0, 2, 2, 2, 1, 3, 0, 0, 4, 1, 1, 4, 0, 3, 2, 0, 0, 1, 1, 4, 1, 2, 1, 1, 3, 0, 1, 0, 0, 4, 4, 0, 3, 0, 3, 2, 1, 1, 3, 4, 0, 0, 4, 0, 3, 0, 2, 2, 1, 4, 3, 2, 1, 3, 2, 0, 0, 4, 3, 4, 3, 4, 0, 1, 4, 2, 4, 0, 0, 1, 0, 1, 4, 1, 4, 0, 2, 4, 2, 2, 2, 0, 2, 0, 2, 1, 3, 3, 1, 1, 4, 0, 0, 1, 1, 2, 4, 4, 4, 1, 1, 4, 4, 3, 0, 1, 2, 2, 4, 3, 4, 2, 1, 4, 1, 3, 3, 4, 4, 3, 1, 0, 4, 4, 3, 1, 3, 0, 0, 4, 2, 4, 2, 3, 2, 3, 2, 4, 3, 4, 3, 3, 0, 4, 4, 1, 3, 0, 2, 2, 0, 2, 4, 0, 2, 1, 1, 3, 3, 0, 4, 0, 0, 1, 4, 4, 2, 1, 1, 4, 4, 2, 2, 2, 2, 4, 1, 2, 1, 2, 4, 2, 2, 0, 0, 2, 1, 1, 4, 2, 1, 4, 0, 1, 4, 3, 2, 2, 0, 3, 4, 0, 3, 4, 1, 4, 3, 3, 3, 1, 0, 0, 1, 4, 1, 2, 0, 3, 3, 1, 1, 4, 1, 2, 1, 4, 2, 0, 1, 1, 4, 2, 3, 0, 3, 2, 3, 0, 1, 3, 3, 4, 2, 2, 0, 1, 3, 4, 1, 3, 3, 4, 2, 2, 4, 1, 0, 1, 4, 3, 3, 4, 4, 0, 0, 0, 1, 4, 1, 0, 4, 1, 1, 2, 4, 2, 2, 4, 4, 0, 3, 2, 2, 2, 3, 3, 0, 2, 0, 4, 1, 3, 4, 2, 3, 1, 4, 1, 3, 0, 1, 4, 2, 1, 2, 4, 1, 4, 0, 0, 1, 0, 3, 1, 0, 4, 3, 0, 4, 2, 4, 1, 0, 0, 0, 2, 0, 0, 4, 3, 1, 4, 0, 0, 3, 1, 0, 4, 0, 0, 1, 4, 3, 1, 0, 0, 3, 2, 0, 4, 0, 1, 4, 4, 4, 2, 3, 1, 1, 2, 3, 4, 1, 2, 0, 4, 2, 1, 4, 3, 3, 3, 2, 1, 3, 1] pubkeycol651 = [4, 0, 2, 3, 1, 0, 1, 2, 0, 1, 0, 3, 3, 1, 4, 2, 2, 3, 0, 2, 4, 4, 4, 4, 0, 4, 4, 1, 3, 0, 3, 4, 2, 0, 3, 3, 2, 1, 4, 1, 1, 2, 3, 4, 0, 1, 3, 1, 4, 2, 1, 1, 0, 4, 3, 0, 2, 1, 2, 3, 2, 1, 1, 4, 3, 0, 3, 0, 1, 3, 1, 3, 4, 3, 2, 0, 3, 3, 2, 3, 2, 1, 4, 1, 3, 2, 2, 1, 2, 3, 1, 3, 2, 4, 1, 2, 4, 3, 2, 1, 1, 3, 3, 3, 2, 1, 4, 0, 3, 4, 0, 2, 4, 2, 1, 0, 2, 3, 0, 0, 0, 0, 1, 4, 3, 1, 0, 2, 4, 3, 1, 0, 1, 3, 2, 4, 2, 3, 4, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 0, 4, 3, 2, 1, 0, 4, 3, 3, 1, 3, 1, 1, 0, 0, 3, 1, 1, 0, 3, 1, 4, 3, 0, 1, 2, 4, 4, 0, 0, 2, 4, 1, 0, 1, 0, 2, 3, 3, 2, 0, 2, 4, 2, 4, 1, 0, 2, 2, 2, 4, 2, 2, 2, 0, 0, 0, 4, 0, 2, 0, 1, 4, 3, 0, 4, 4, 1, 4, 4, 1, 4, 4, 2, 4, 4, 3, 3, 2, 1, 2, 1, 4, 2, 3, 1, 3, 4, 3, 0, 3, 4, 2, 2, 1, 0, 1, 3, 2, 0, 2, 2, 3, 0, 1, 1, 1, 2, 2, 3, 0, 2, 1, 0, 0, 1, 1, 1, 0, 4, 3, 4, 1, 0, 4, 2, 0, 1, 0, 0, 0, 2, 0, 0, 3, 0, 4, 1, 3, 0, 2, 4, 4, 0, 1, 2, 0, 0, 1, 0, 3, 1, 4, 3, 1, 3, 3, 4, 3, 2, 0, 2, 3, 4, 0, 0, 4, 0, 0, 1, 4, 2, 2, 0, 1, 1, 4, 2, 4, 2, 0, 1, 4, 0, 0, 4, 4, 3, 0, 3, 0, 0, 0, 0, 1, 3, 1, 0, 3, 4, 3, 2, 4, 0, 4, 2, 0, 0, 2, 0, 1, 2, 0, 2, 4, 2, 0, 4, 3, 2, 4, 1, 1, 2, 1, 4, 2, 1, 4, 3, 4, 4, 3, 0, 3, 0, 4, 1, 4, 0, 0, 3, 0, 4, 0, 2, 3, 1, 2] pubkeycol652 = [2, 1, 2, 1, 1, 2, 4, 2, 2, 2, 2, 3, 3, 4, 2, 4, 3, 1, 3, 1, 0, 2, 4, 0, 1, 4, 1, 0, 3, 1, 3, 3, 0, 1, 3, 2, 0, 2, 1, 0, 3, 4, 2, 4, 2, 3, 0, 2, 1, 4, 0, 2, 1, 2, 1, 0, 3, 4, 1, 3, 4, 1, 0, 2, 3, 4, 2, 2, 4, 1, 2, 0, 2, 1, 4, 4, 2, 4, 0, 2, 2, 3, 3, 3, 3, 4, 0, 3, 4, 4, 4, 2, 0, 4, 4, 3, 0, 3, 4, 2, 4, 1, 4, 3, 3, 1, 3, 2, 4, 0, 3, 3, 2, 2, 3, 1, 4, 1, 2, 1, 1, 3, 0, 3, 4, 2, 4, 2, 0, 0, 4, 3, 0, 0, 4, 4, 3, 3, 4, 3, 2, 4, 1, 2, 1, 0, 4, 3, 1, 2, 2, 4, 3, 1, 2, 4, 3, 2, 4, 0, 2, 0, 4, 1, 2, 2, 2, 3, 3, 0, 2, 4, 1, 4, 4, 2, 2, 0, 2, 0, 2, 1, 3, 3, 0, 0, 1, 0, 2, 3, 1, 3, 1, 4, 1, 3, 4, 0, 4, 4, 3, 1, 1, 2, 0, 2, 3, 1, 3, 2, 0, 2, 4, 1, 3, 3, 4, 1, 1, 3, 2, 4, 1, 2, 4, 2, 2, 1, 4, 2, 4, 0, 3, 4, 0, 0, 4, 4, 3, 2, 0, 4, 1, 2, 3, 3, 0, 3, 3, 1, 1, 2, 1, 2, 0, 3, 2, 3, 2, 3, 0, 4, 3, 3, 4, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 4, 4, 3, 3, 2, 4, 4, 2, 3, 2, 1, 2, 2, 3, 1, 1, 4, 4, 0, 4, 0, 4, 0, 3, 1, 0, 3, 1, 3, 0, 3, 3, 0, 2, 3, 4, 0, 0, 4, 4, 2, 2, 0, 4, 4, 2, 4, 1, 2, 3, 3, 4, 4, 2, 3, 3, 1, 2, 3, 2, 3, 0, 3, 4, 0, 3, 1, 0, 1, 4, 0, 0, 0, 2, 0, 1, 3, 1, 2, 2, 3, 1, 2, 1, 4, 4, 4, 2, 0, 3, 2, 2, 2, 3, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 2, 4, 2, 2, 0, 2, 3, 3, 4, 0, 2, 2, 3, 2, 1, 0, 3, 1, 4, 2, 1] pubkeycol653 = [3, 2, 0, 1, 2, 1, 4, 1, 4, 3, 2, 2, 3, 3, 0, 2, 4, 3, 0, 2, 2, 0, 3, 2, 3, 2, 1, 0, 4, 0, 4, 4, 4, 4, 4, 0, 3, 4, 0, 1, 4, 1, 2, 1, 2, 3, 2, 1, 4, 2, 0, 1, 0, 3, 3, 3, 2, 0, 3, 4, 1, 1, 3, 3, 3, 1, 2, 4, 1, 4, 3, 3, 1, 3, 1, 1, 3, 3, 0, 4, 3, 4, 2, 1, 4, 1, 0, 1, 4, 3, 1, 2, 2, 0, 1, 2, 1, 3, 3, 2, 3, 0, 4, 0, 4, 1, 2, 4, 3, 1, 2, 2, 2, 3, 3, 0, 4, 0, 0, 2, 4, 3, 4, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 4, 4, 0, 0, 3, 0, 2, 3, 0, 1, 3, 3, 1, 0, 3, 1, 4, 2, 4, 0, 2, 3, 0, 4, 3, 4, 1, 4, 4, 4, 1, 3, 1, 2, 4, 4, 0, 3, 2, 2, 4, 2, 4, 0, 2, 2, 4, 3, 1, 1, 4, 1, 4, 0, 4, 1, 3, 1, 0, 1, 2, 1, 0, 4, 0, 3, 0, 4, 4, 0, 0, 0, 1, 2, 1, 3, 1, 1, 3, 3, 3, 1, 4, 2, 4, 2, 4, 0, 0, 0, 4, 3, 4, 4, 4, 3, 4, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 4, 1, 0, 4, 4, 2, 0, 0, 4, 1, 3, 4, 1, 0, 4, 0, 1, 2, 3, 2, 3, 1, 0, 2, 4, 0, 2, 4, 1, 4, 4, 2, 2, 0, 3, 4, 3, 3, 2, 1, 0, 0, 2, 3, 0, 4, 3, 4, 1, 4, 4, 2, 1, 3, 4, 4, 1, 3, 3, 2, 1, 1, 0, 1, 1, 3, 2, 2, 3, 4, 1, 1, 0, 1, 4, 2, 4, 2, 1, 0, 1, 1, 1, 1, 2, 4, 0, 4, 2, 4, 1, 0, 3, 1, 0, 1, 0, 1, 2, 3, 3, 2, 0, 0, 2, 1, 4, 3, 1, 4, 2, 0, 2, 3, 1, 2, 4, 1, 2, 0, 4, 2, 4, 1, 3, 3, 2, 2, 0, 1, 2, 4, 4, 0, 3, 4, 1, 4, 4, 1, 1, 0, 0, 2, 3, 0, 3, 2, 0, 2, 0, 1, 4, 1, 3, 0, 0, 1, 4, 0] pubkeycol654 = [2, 4, 0, 3, 2, 1, 0, 2, 3, 3, 4, 2, 0, 2, 2, 0, 4, 4, 0, 3, 4, 1, 4, 3, 4, 3, 2, 1, 2, 4, 3, 0, 4, 1, 1, 4, 3, 2, 3, 2, 2, 2, 0, 4, 1, 2, 3, 4, 3, 4, 0, 2, 4, 2, 1, 4, 2, 0, 1, 4, 2, 0, 2, 0, 0, 1, 4, 1, 1, 1, 3, 1, 0, 0, 4, 0, 1, 4, 4, 3, 3, 3, 3, 3, 3, 0, 4, 0, 1, 1, 0, 0, 4, 3, 0, 3, 4, 0, 2, 1, 1, 2, 1, 3, 4, 4, 2, 2, 3, 2, 3, 3, 0, 0, 1, 2, 0, 1, 3, 0, 1, 3, 0, 3, 1, 3, 1, 4, 2, 1, 2, 2, 2, 2, 2, 0, 1, 3, 0, 3, 1, 3, 0, 3, 1, 4, 1, 1, 2, 1, 3, 1, 4, 4, 3, 0, 3, 4, 4, 2, 4, 4, 0, 2, 2, 2, 0, 4, 0, 4, 4, 2, 4, 1, 2, 4, 2, 2, 0, 4, 3, 2, 3, 2, 3, 0, 3, 2, 4, 1, 2, 0, 3, 4, 3, 4, 3, 3, 0, 0, 3, 3, 2, 0, 1, 4, 0, 2, 3, 3, 4, 4, 3, 0, 3, 2, 4, 0, 0, 4, 0, 3, 3, 3, 0, 0, 4, 3, 4, 0, 4, 2, 2, 4, 1, 3, 1, 3, 2, 1, 3, 4, 0, 3, 0, 3, 2, 1, 4, 0, 3, 2, 2, 0, 1, 3, 0, 3, 4, 4, 3, 2, 2, 0, 0, 3, 0, 0, 3, 0, 2, 3, 1, 0, 0, 0, 4, 4, 4, 0, 1, 2, 1, 2, 2, 1, 3, 0, 4, 4, 0, 0, 0, 0, 4, 3, 2, 0, 0, 4, 1, 2, 3, 3, 1, 3, 1, 2, 3, 2, 4, 3, 2, 1, 3, 2, 3, 4, 2, 3, 3, 1, 0, 2, 2, 1, 1, 0, 4, 0, 1, 3, 2, 0, 1, 2, 0, 1, 3, 2, 2, 3, 1, 1, 0, 3, 0, 1, 1, 0, 4, 3, 0, 0, 1, 0, 1, 4, 4, 0, 1, 2, 3, 1, 0, 3, 2, 4, 3, 0, 2, 0, 3, 2, 4, 3, 3, 2, 4, 2, 3, 0, 4, 3, 2, 3, 2, 4, 1, 1, 1, 0, 3, 1, 3, 3, 3, 3, 3, 1] pubkeycol655 = [2, 0, 4, 0, 1, 4, 4, 0, 3, 1, 1, 1, 4, 3, 4, 3, 3, 1, 4, 4, 4, 3, 3, 0, 4, 2, 2, 1, 1, 0, 3, 1, 0, 3, 4, 2, 0, 2, 2, 2, 3, 0, 0, 0, 0, 0, 1, 0, 4, 1, 1, 0, 2, 0, 1, 4, 2, 0, 2, 0, 3, 4, 3, 1, 4, 1, 2, 0, 3, 2, 4, 4, 1, 0, 3, 2, 1, 3, 4, 1, 2, 4, 0, 2, 0, 1, 2, 2, 3, 4, 4, 2, 0, 0, 1, 4, 3, 0, 4, 1, 3, 1, 3, 2, 0, 1, 4, 2, 0, 3, 4, 4, 1, 3, 0, 2, 2, 2, 4, 0, 4, 3, 3, 3, 0, 2, 4, 3, 4, 0, 2, 3, 2, 4, 3, 2, 4, 2, 4, 4, 3, 1, 1, 1, 2, 1, 4, 1, 2, 3, 2, 3, 4, 0, 0, 3, 4, 0, 1, 4, 2, 3, 4, 1, 1, 4, 1, 4, 1, 2, 4, 3, 1, 3, 4, 2, 2, 1, 3, 1, 4, 0, 4, 0, 4, 3, 0, 2, 1, 1, 4, 4, 2, 0, 0, 4, 2, 3, 2, 3, 2, 4, 0, 1, 0, 1, 1, 2, 1, 2, 2, 3, 3, 0, 4, 4, 4, 4, 2, 4, 0, 3, 3, 2, 3, 2, 3, 4, 0, 4, 1, 2, 3, 1, 4, 0, 2, 1, 3, 2, 3, 1, 2, 2, 3, 0, 4, 4, 3, 0, 3, 4, 2, 3, 2, 4, 0, 1, 4, 3, 3, 1, 1, 2, 2, 1, 2, 4, 3, 3, 0, 1, 4, 4, 1, 4, 3, 4, 1, 2, 1, 1, 3, 4, 0, 2, 3, 4, 2, 2, 1, 4, 3, 2, 3, 2, 1, 4, 0, 2, 4, 3, 0, 2, 1, 3, 3, 3, 4, 3, 2, 1, 1, 2, 1, 1, 0, 4, 0, 1, 1, 1, 4, 4, 4, 0, 0, 2, 1, 0, 2, 4, 2, 3, 4, 2, 4, 1, 2, 4, 0, 3, 4, 2, 1, 1, 3, 4, 3, 4, 1, 4, 1, 0, 1, 2, 4, 0, 0, 0, 3, 2, 1, 0, 0, 2, 1, 0, 2, 4, 3, 1, 2, 3, 3, 1, 1, 0, 4, 3, 1, 3, 1, 4, 0, 4, 0, 4, 1, 2, 2, 3, 4, 1, 3, 2, 0, 0, 1, 3] pubkeycol656 = [1, 2, 2, 4, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 4, 3, 3, 0, 1, 3, 2, 1, 0, 3, 2, 3, 0, 1, 2, 2, 3, 2, 4, 0, 0, 4, 1, 2, 3, 1, 1, 3, 2, 2, 3, 0, 1, 2, 4, 2, 4, 2, 4, 0, 2, 4, 0, 3, 3, 3, 0, 0, 2, 2, 2, 2, 0, 2, 0, 4, 4, 4, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 3, 0, 0, 4, 2, 2, 4, 1, 3, 4, 1, 0, 1, 0, 0, 4, 0, 0, 0, 4, 2, 1, 0, 0, 4, 1, 4, 2, 1, 3, 3, 4, 1, 4, 4, 0, 3, 1, 0, 0, 4, 0, 0, 4, 4, 1, 4, 2, 4, 2, 4, 3, 3, 3, 0, 1, 0, 1, 3, 3, 2, 2, 3, 0, 1, 0, 0, 0, 4, 2, 0, 4, 4, 1, 3, 3, 4, 1, 3, 4, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 4, 3, 4, 0, 2, 3, 4, 4, 0, 3, 4, 0, 0, 1, 3, 3, 4, 0, 1, 1, 0, 4, 1, 4, 4, 1, 1, 2, 3, 4, 4, 1, 2, 4, 2, 4, 4, 2, 1, 3, 4, 1, 0, 2, 1, 1, 1, 0, 1, 4, 0, 1, 4, 1, 2, 3, 4, 1, 4, 2, 0, 1, 1, 4, 4, 0, 0, 4, 0, 4, 1, 1, 2, 1, 4, 4, 3, 1, 2, 3, 4, 3, 1, 3, 0, 0, 0, 4, 3, 4, 4, 3, 2, 0, 2, 3, 0, 2, 1, 1, 0, 2, 4, 0, 1, 3, 0, 2, 3, 0, 4, 1, 3, 4, 0, 3, 2, 1, 0, 3, 2, 4, 0, 1, 3, 4, 0, 4, 2, 4, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 4, 3, 3, 0, 1, 1, 2, 4, 0, 1, 3, 3, 4, 0, 1, 2, 3, 2, 0, 4, 0, 1, 4, 2, 3, 3, 2, 4, 2, 3, 2, 3, 0, 3, 0, 3, 1, 1, 1, 4, 1, 1, 1, 0, 3, 3, 4, 0, 1, 4, 1, 1, 2, 0, 4, 2, 3, 3, 0, 1, 0, 4, 2, 0, 2, 4, 0, 0, 1, 1, 4, 4, 3, 3, 1, 3, 1, 2, 2, 3, 0, 0, 2, 4, 0] pubkeycol657 = [0, 4, 0, 3, 0, 1, 4, 0, 1, 3, 4, 3, 1, 3, 3, 3, 4, 3, 3, 0, 4, 2, 2, 0, 0, 4, 1, 1, 4, 4, 3, 3, 3, 0, 0, 0, 0, 2, 3, 4, 3, 3, 4, 1, 0, 0, 0, 0, 1, 1, 0, 1, 3, 3, 4, 3, 0, 0, 2, 1, 2, 3, 1, 1, 4, 3, 2, 1, 4, 0, 1, 2, 0, 3, 4, 3, 0, 0, 0, 4, 2, 0, 1, 0, 1, 2, 3, 1, 3, 2, 1, 2, 1, 2, 3, 4, 4, 1, 0, 1, 0, 3, 3, 2, 4, 1, 2, 4, 1, 4, 4, 3, 3, 0, 4, 0, 4, 0, 0, 3, 1, 4, 2, 4, 1, 4, 0, 1, 4, 1, 4, 4, 3, 3, 0, 3, 1, 4, 1, 4, 2, 2, 0, 2, 0, 4, 3, 4, 2, 4, 4, 1, 2, 1, 3, 3, 1, 4, 0, 1, 1, 0, 1, 2, 3, 1, 4, 3, 3, 4, 3, 0, 1, 3, 1, 2, 3, 0, 2, 0, 0, 1, 1, 2, 3, 1, 2, 4, 3, 2, 1, 0, 3, 4, 1, 2, 3, 1, 3, 3, 4, 1, 2, 0, 2, 0, 1, 4, 0, 0, 2, 2, 0, 0, 3, 3, 0, 4, 1, 3, 2, 0, 1, 4, 4, 4, 2, 0, 4, 4, 3, 2, 1, 4, 2, 3, 1, 1, 1, 4, 2, 2, 2, 3, 3, 3, 3, 1, 0, 0, 2, 1, 3, 2, 2, 4, 4, 0, 2, 3, 2, 4, 1, 1, 3, 2, 1, 4, 1, 2, 2, 2, 0, 1, 2, 3, 2, 0, 0, 4, 1, 3, 4, 0, 4, 0, 3, 2, 2, 1, 3, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 1, 1, 1, 4, 3, 1, 2, 4, 4, 0, 0, 2, 0, 4, 1, 3, 4, 1, 1, 1, 1, 2, 0, 4, 1, 3, 2, 1, 0, 2, 4, 4, 2, 2, 4, 2, 0, 3, 2, 1, 2, 3, 0, 3, 1, 0, 4, 0, 1, 1, 2, 0, 2, 2, 4, 4, 1, 3, 4, 0, 0, 0, 4, 2, 1, 1, 2, 3, 2, 0, 1, 3, 4, 4, 4, 0, 0, 1, 0, 1, 3, 1, 0, 1, 1, 1, 3, 3, 4, 1, 0, 4, 1, 4, 2] pubkeycol658 = [0, 2, 0, 3, 2, 0, 3, 3, 4, 0, 3, 0, 4, 3, 0, 3, 4, 3, 3, 4, 0, 3, 3, 0, 4, 1, 2, 2, 2, 1, 4, 2, 2, 0, 4, 0, 3, 4, 1, 0, 1, 4, 1, 3, 3, 0, 4, 1, 2, 3, 1, 1, 2, 3, 2, 1, 4, 2, 2, 1, 1, 0, 1, 4, 1, 2, 2, 2, 4, 3, 2, 0, 0, 1, 3, 3, 1, 1, 1, 1, 4, 2, 4, 2, 0, 2, 0, 0, 3, 2, 0, 4, 0, 4, 4, 3, 2, 3, 4, 4, 1, 2, 3, 1, 1, 0, 4, 4, 2, 0, 2, 4, 0, 3, 1, 0, 0, 0, 2, 2, 3, 0, 4, 4, 0, 3, 1, 4, 3, 0, 3, 2, 0, 1, 0, 4, 3, 2, 4, 1, 1, 4, 1, 0, 3, 2, 1, 1, 3, 2, 0, 1, 3, 0, 2, 3, 2, 3, 1, 0, 1, 4, 3, 3, 4, 4, 0, 0, 4, 3, 3, 2, 3, 4, 0, 0, 1, 4, 1, 0, 1, 0, 4, 1, 1, 1, 2, 0, 1, 4, 3, 3, 3, 4, 1, 4, 1, 1, 2, 1, 4, 0, 4, 1, 0, 3, 1, 3, 4, 3, 0, 3, 2, 1, 4, 0, 1, 1, 2, 3, 3, 0, 1, 3, 0, 4, 0, 1, 3, 1, 4, 1, 4, 0, 1, 4, 1, 0, 0, 3, 1, 1, 2, 2, 1, 3, 1, 2, 4, 4, 4, 0, 2, 1, 3, 0, 2, 4, 2, 0, 3, 1, 0, 2, 2, 0, 4, 3, 3, 1, 1, 2, 0, 2, 0, 4, 0, 1, 4, 3, 2, 3, 1, 3, 0, 1, 3, 3, 0, 0, 0, 4, 1, 2, 3, 3, 3, 4, 2, 3, 1, 2, 3, 1, 0, 4, 0, 3, 0, 2, 4, 2, 2, 3, 4, 3, 2, 3, 1, 4, 3, 4, 0, 0, 3, 4, 3, 0, 3, 1, 3, 3, 4, 2, 0, 1, 1, 4, 3, 3, 4, 2, 3, 2, 0, 3, 2, 1, 1, 3, 4, 0, 4, 3, 4, 0, 4, 4, 1, 2, 0, 3, 4, 4, 1, 0, 2, 1, 3, 2, 3, 3, 0, 2, 0, 2, 2, 1, 4, 2, 1, 4, 2, 1, 2, 2, 0, 4, 4, 1, 3, 3, 0, 2, 4, 2, 3, 1, 2, 4] pubkeycol659 = [3, 4, 2, 1, 3, 4, 4, 3, 0, 4, 1, 0, 0, 0, 2, 1, 1, 0, 3, 4, 2, 0, 1, 4, 4, 1, 2, 2, 1, 1, 4, 3, 0, 4, 3, 0, 0, 3, 4, 2, 0, 4, 1, 1, 1, 1, 4, 4, 1, 4, 4, 0, 1, 4, 2, 1, 0, 4, 1, 2, 4, 0, 4, 1, 4, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 4, 2, 1, 0, 1, 4, 4, 2, 1, 4, 0, 1, 1, 3, 0, 2, 1, 3, 1, 3, 4, 0, 3, 2, 3, 2, 4, 4, 1, 4, 3, 4, 3, 3, 3, 0, 1, 4, 2, 2, 1, 0, 0, 3, 4, 3, 4, 4, 0, 3, 0, 0, 1, 3, 4, 0, 3, 0, 4, 0, 2, 3, 4, 2, 0, 0, 3, 2, 0, 4, 0, 3, 4, 3, 3, 4, 1, 4, 2, 1, 0, 1, 4, 2, 1, 0, 1, 2, 2, 4, 1, 4, 1, 1, 1, 3, 0, 1, 3, 3, 0, 0, 0, 0, 3, 0, 3, 4, 3, 3, 1, 0, 1, 1, 2, 0, 2, 3, 3, 0, 2, 2, 1, 1, 3, 1, 0, 4, 3, 2, 4, 3, 1, 3, 4, 3, 1, 3, 2, 1, 2, 0, 4, 2, 0, 1, 2, 1, 3, 3, 0, 1, 3, 3, 2, 0, 3, 2, 2, 4, 3, 4, 3, 1, 0, 1, 3, 3, 2, 4, 1, 1, 4, 0, 1, 4, 4, 0, 0, 3, 1, 4, 0, 3, 3, 2, 4, 2, 3, 2, 2, 3, 4, 0, 0, 1, 1, 1, 2, 3, 2, 3, 0, 1, 4, 1, 0, 0, 3, 2, 4, 3, 1, 4, 0, 4, 1, 2, 1, 2, 3, 4, 2, 1, 4, 1, 0, 4, 3, 1, 2, 3, 3, 0, 0, 0, 1, 0, 1, 1, 4, 1, 1, 0, 1, 2, 1, 1, 2, 3, 3, 4, 2, 0, 1, 4, 3, 0, 2, 2, 1, 2, 3, 1, 0, 3, 3, 4, 1, 1, 2, 0, 1, 3, 4, 1, 0, 0, 2, 2, 4, 2, 4, 4, 1, 1, 4, 1, 3, 1, 4, 3, 1, 0, 3, 2, 1, 3, 2, 0, 3, 1, 2, 1, 3, 0, 0, 4, 0, 0, 3, 3, 1, 0, 3, 1, 2, 2, 4, 0, 1, 4, 1, 1, 4] pubkeycol660 = [1, 1, 3, 0, 0, 1, 1, 2, 3, 3, 1, 4, 4, 4, 4, 4, 1, 3, 4, 3, 2, 2, 3, 3, 0, 4, 2, 1, 0, 0, 1, 4, 4, 4, 3, 1, 3, 4, 1, 1, 2, 1, 2, 2, 2, 0, 3, 1, 2, 1, 3, 0, 2, 3, 0, 0, 2, 3, 4, 3, 4, 2, 2, 3, 4, 2, 4, 2, 1, 0, 2, 0, 4, 2, 0, 0, 4, 0, 1, 3, 2, 0, 1, 2, 0, 2, 1, 4, 1, 4, 2, 0, 2, 1, 2, 3, 1, 0, 4, 2, 0, 4, 3, 2, 2, 4, 4, 4, 0, 2, 3, 4, 3, 2, 3, 4, 2, 0, 4, 4, 2, 4, 2, 2, 4, 3, 3, 0, 3, 3, 1, 3, 4, 2, 1, 4, 0, 2, 0, 0, 3, 1, 0, 0, 1, 0, 4, 4, 2, 3, 2, 1, 1, 1, 3, 3, 2, 4, 0, 4, 0, 3, 3, 0, 0, 2, 0, 0, 1, 1, 0, 4, 3, 2, 2, 1, 1, 4, 4, 3, 0, 2, 0, 3, 3, 1, 3, 1, 0, 1, 1, 1, 4, 4, 0, 2, 3, 0, 3, 2, 1, 0, 4, 2, 0, 0, 3, 3, 3, 2, 3, 1, 3, 4, 0, 3, 4, 4, 4, 0, 1, 4, 3, 2, 2, 4, 2, 3, 2, 4, 3, 3, 0, 3, 1, 0, 4, 2, 0, 2, 3, 0, 1, 0, 3, 4, 4, 2, 4, 2, 4, 0, 4, 0, 0, 3, 4, 3, 2, 1, 0, 3, 4, 3, 1, 4, 0, 2, 2, 0, 4, 2, 2, 1, 4, 3, 2, 1, 0, 1, 1, 1, 1, 1, 4, 3, 3, 1, 0, 4, 2, 4, 3, 1, 2, 2, 2, 4, 2, 2, 3, 1, 2, 3, 1, 1, 0, 2, 0, 2, 1, 1, 3, 0, 4, 0, 4, 0, 1, 0, 4, 2, 1, 2, 0, 3, 2, 3, 2, 4, 3, 3, 3, 4, 0, 2, 4, 4, 3, 1, 2, 4, 4, 1, 3, 3, 2, 4, 1, 3, 4, 4, 4, 1, 4, 2, 3, 3, 0, 3, 4, 3, 1, 4, 0, 1, 3, 2, 3, 3, 2, 1, 1, 2, 3, 3, 3, 4, 3, 0, 0, 0, 4, 1, 4, 4, 4, 2, 3, 3, 1, 2, 1, 4, 1, 0, 0, 1, 0, 2] pubkeycol661 = [2, 4, 2, 1, 1, 1, 0, 4, 3, 4, 4, 3, 3, 2, 4, 2, 0, 2, 4, 1, 3, 3, 4, 1, 2, 3, 3, 2, 4, 0, 0, 1, 3, 2, 2, 3, 0, 3, 1, 0, 4, 0, 3, 3, 1, 0, 4, 3, 4, 1, 0, 4, 2, 3, 1, 0, 0, 4, 1, 4, 4, 1, 4, 0, 4, 2, 1, 2, 2, 4, 4, 2, 2, 4, 3, 1, 2, 3, 2, 0, 0, 3, 0, 0, 0, 3, 0, 2, 2, 4, 2, 1, 0, 1, 2, 1, 0, 2, 3, 0, 3, 2, 3, 2, 4, 0, 1, 1, 1, 2, 3, 2, 1, 2, 3, 4, 2, 4, 0, 2, 1, 0, 2, 2, 1, 3, 4, 3, 3, 0, 0, 3, 3, 1, 2, 0, 1, 2, 0, 0, 1, 1, 3, 3, 2, 4, 3, 4, 0, 0, 0, 2, 1, 0, 4, 4, 2, 0, 3, 0, 1, 0, 2, 3, 0, 0, 0, 1, 4, 4, 3, 1, 4, 0, 4, 2, 3, 2, 1, 2, 4, 1, 0, 4, 1, 4, 1, 3, 2, 3, 4, 2, 0, 4, 4, 4, 2, 3, 2, 1, 3, 3, 1, 2, 2, 1, 3, 0, 0, 0, 2, 2, 2, 1, 0, 1, 3, 1, 0, 1, 4, 2, 3, 2, 2, 2, 0, 2, 1, 2, 2, 3, 3, 4, 4, 0, 0, 4, 0, 2, 0, 1, 0, 3, 0, 1, 2, 0, 3, 4, 3, 3, 1, 3, 1, 3, 4, 2, 4, 1, 1, 0, 3, 3, 0, 3, 4, 4, 4, 2, 2, 1, 2, 3, 3, 0, 2, 1, 1, 0, 4, 1, 3, 2, 2, 2, 3, 4, 3, 3, 1, 3, 2, 3, 3, 0, 1, 2, 3, 3, 3, 1, 1, 1, 1, 2, 3, 4, 4, 1, 4, 4, 0, 1, 0, 3, 2, 2, 1, 4, 1, 4, 1, 4, 2, 0, 2, 4, 3, 0, 4, 1, 3, 4, 3, 4, 3, 3, 1, 1, 0, 2, 4, 3, 4, 0, 1, 0, 4, 0, 0, 2, 3, 2, 0, 2, 3, 2, 1, 0, 0, 4, 2, 0, 4, 3, 3, 4, 2, 4, 4, 3, 2, 1, 4, 2, 4, 4, 1, 2, 2, 2, 4, 0, 0, 1, 4, 1, 2, 3, 1, 4, 1, 4, 3, 0, 0, 3, 4, 2] pubkeycol662 = [1, 0, 4, 4, 2, 0, 4, 1, 1, 0, 4, 3, 2, 1, 2, 1, 2, 0, 2, 0, 3, 0, 0, 3, 1, 4, 1, 4, 3, 2, 3, 3, 1, 2, 3, 0, 4, 0, 4, 3, 0, 3, 0, 4, 3, 1, 0, 2, 0, 3, 2, 3, 3, 2, 3, 4, 0, 0, 4, 1, 3, 2, 1, 0, 3, 0, 0, 1, 2, 2, 3, 2, 3, 4, 4, 1, 1, 3, 3, 2, 1, 2, 0, 4, 3, 1, 2, 2, 0, 4, 3, 0, 3, 4, 4, 3, 2, 4, 2, 4, 1, 3, 3, 2, 1, 1, 4, 3, 3, 3, 2, 2, 1, 0, 0, 2, 2, 3, 1, 3, 3, 3, 4, 0, 2, 2, 2, 1, 1, 4, 0, 4, 2, 4, 1, 0, 0, 0, 1, 0, 3, 4, 1, 0, 0, 0, 2, 2, 2, 3, 1, 3, 2, 0, 4, 2, 1, 2, 2, 2, 1, 0, 3, 1, 1, 0, 2, 3, 4, 3, 2, 2, 3, 3, 0, 1, 0, 3, 2, 1, 2, 4, 0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 4, 3, 3, 2, 3, 4, 0, 2, 4, 3, 0, 0, 0, 1, 1, 1, 3, 2, 4, 1, 0, 0, 0, 0, 0, 2, 2, 2, 3, 1, 1, 2, 0, 0, 0, 2, 4, 4, 0, 2, 4, 4, 4, 0, 2, 2, 3, 4, 4, 1, 1, 3, 0, 1, 2, 2, 0, 1, 1, 2, 3, 0, 1, 1, 2, 0, 1, 1, 4, 0, 4, 4, 4, 2, 0, 2, 2, 1, 3, 0, 0, 4, 1, 1, 4, 0, 2, 3, 2, 2, 1, 3, 4, 3, 3, 4, 4, 3, 1, 3, 4, 3, 1, 4, 2, 2, 1, 1, 1, 2, 3, 4, 2, 2, 3, 1, 0, 1, 2, 2, 3, 1, 1, 0, 2, 2, 4, 4, 1, 1, 0, 4, 0, 4, 1, 4, 1, 1, 3, 0, 4, 4, 2, 3, 4, 4, 1, 3, 1, 1, 1, 4, 0, 3, 4, 2, 2, 0, 3, 3, 4, 4, 1, 1, 3, 2, 2, 1, 2, 2, 4, 4, 2, 0, 1, 4, 1, 1, 0, 0, 2, 0, 0, 3, 3, 1, 0, 4, 1, 1, 2, 1, 0, 2, 1, 1, 1, 3, 3, 0, 0, 4, 0] pubkeycol663 = [0, 4, 2, 2, 3, 1, 2, 0, 0, 0, 3, 4, 1, 0, 3, 0, 0, 4, 1, 3, 3, 0, 1, 3, 0, 4, 0, 3, 4, 2, 0, 4, 3, 0, 0, 3, 2, 0, 2, 1, 0, 0, 3, 3, 2, 0, 3, 0, 2, 3, 3, 2, 0, 2, 2, 1, 0, 4, 3, 4, 1, 2, 0, 2, 2, 4, 0, 3, 0, 4, 3, 1, 0, 4, 0, 4, 4, 0, 0, 3, 3, 1, 3, 1, 2, 1, 4, 1, 0, 1, 0, 4, 3, 2, 1, 1, 1, 4, 4, 2, 0, 2, 3, 4, 3, 0, 2, 2, 1, 4, 1, 1, 3, 0, 4, 1, 2, 1, 3, 1, 0, 1, 0, 4, 4, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 2, 2, 0, 1, 4, 3, 0, 3, 2, 4, 3, 2, 2, 3, 3, 1, 0, 3, 4, 0, 0, 3, 3, 0, 4, 0, 1, 0, 4, 0, 2, 3, 1, 3, 1, 2, 2, 4, 1, 2, 1, 4, 1, 4, 0, 3, 0, 3, 4, 2, 0, 2, 4, 4, 3, 1, 2, 3, 0, 2, 0, 4, 4, 0, 1, 0, 4, 4, 2, 2, 0, 3, 0, 2, 1, 4, 3, 0, 4, 0, 3, 3, 0, 3, 3, 0, 1, 3, 4, 4, 2, 3, 4, 3, 4, 1, 1, 3, 3, 3, 1, 2, 3, 3, 0, 2, 0, 0, 1, 0, 2, 4, 2, 0, 2, 0, 1, 4, 3, 2, 3, 0, 1, 1, 0, 4, 4, 1, 0, 1, 2, 1, 3, 0, 1, 0, 3, 4, 4, 3, 4, 2, 4, 1, 2, 1, 1, 4, 2, 0, 4, 0, 4, 2, 0, 1, 4, 1, 2, 4, 1, 1, 4, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 3, 0, 3, 3, 1, 3, 4, 1, 4, 1, 3, 0, 1, 0, 1, 0, 4, 3, 2, 1, 3, 0, 0, 1, 1, 1, 4, 3, 3, 1, 4, 3, 4, 0, 1, 4, 4, 1, 0, 4, 0, 0, 3, 1, 4, 3, 0, 2, 0, 3, 2, 2, 3, 0, 4, 4, 2, 0, 4, 4, 0, 0, 1, 2, 1, 0, 2, 4, 4, 4, 1, 2, 3, 1, 2, 3, 4, 2, 2, 3, 0, 2, 0, 4, 4, 2, 0] pubkeycol664 = [1, 1, 0, 4, 3, 1, 0, 3, 0, 3, 2, 1, 1, 2, 4, 3, 0, 2, 3, 1, 1, 4, 1, 2, 3, 3, 1, 4, 3, 2, 0, 0, 3, 0, 1, 2, 1, 4, 1, 0, 1, 4, 3, 0, 4, 0, 2, 0, 0, 2, 2, 4, 0, 4, 2, 3, 4, 0, 2, 4, 4, 0, 4, 2, 0, 2, 0, 4, 3, 1, 0, 4, 0, 0, 2, 1, 2, 3, 4, 4, 4, 2, 0, 4, 0, 3, 2, 1, 0, 4, 2, 2, 4, 2, 3, 2, 4, 0, 2, 0, 2, 2, 0, 3, 1, 4, 4, 1, 3, 0, 0, 3, 4, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 0, 1, 0, 4, 3, 3, 0, 4, 4, 1, 2, 4, 3, 2, 3, 4, 4, 4, 1, 3, 4, 3, 3, 3, 4, 2, 0, 0, 0, 1, 4, 0, 0, 1, 3, 1, 1, 2, 3, 4, 0, 4, 1, 2, 1, 3, 4, 4, 4, 4, 3, 1, 2, 0, 2, 3, 3, 1, 4, 2, 3, 3, 4, 2, 4, 2, 2, 2, 1, 1, 4, 1, 0, 0, 3, 3, 4, 1, 2, 3, 4, 3, 4, 0, 4, 3, 3, 1, 0, 1, 1, 2, 1, 4, 1, 0, 1, 1, 3, 4, 0, 2, 4, 4, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 3, 3, 1, 3, 3, 2, 3, 2, 4, 0, 0, 4, 4, 2, 4, 0, 0, 3, 1, 3, 4, 2, 3, 2, 4, 1, 0, 2, 2, 4, 3, 3, 1, 0, 3, 2, 1, 4, 0, 1, 0, 4, 1, 2, 1, 1, 4, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 4, 2, 2, 1, 0, 2, 4, 2, 0, 4, 1, 1, 2, 2, 3, 1, 4, 0, 4, 0, 3, 4, 4, 3, 0, 0, 0, 0, 4, 4, 1, 0, 3, 1, 4, 4, 0, 4, 4, 2, 0, 4, 1, 2, 2, 4, 4, 4, 1, 3, 2, 2, 0, 2, 2, 3, 0, 2, 0, 1, 1, 4, 0, 1, 3, 0, 4, 2, 0, 1, 2, 3, 3, 2, 4, 2, 0, 4, 2, 0, 0, 4, 1, 0, 0, 2, 4, 2, 2, 4, 3, 4, 1, 1, 1, 0, 1] pubkeycol665 = [1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 4, 4, 1, 4, 1, 3, 4, 3, 4, 2, 4, 3, 4, 1, 3, 0, 4, 3, 4, 0, 1, 2, 0, 2, 2, 1, 0, 4, 4, 1, 1, 4, 0, 4, 3, 2, 0, 1, 4, 2, 4, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 4, 2, 2, 2, 1, 4, 3, 3, 2, 3, 1, 4, 0, 2, 1, 3, 3, 3, 1, 3, 4, 2, 3, 4, 1, 4, 3, 2, 1, 0, 4, 1, 2, 3, 2, 3, 0, 0, 2, 1, 3, 2, 1, 0, 4, 3, 1, 3, 4, 0, 1, 3, 0, 2, 4, 2, 0, 4, 4, 4, 1, 0, 0, 1, 1, 4, 3, 3, 3, 0, 2, 3, 0, 4, 4, 4, 2, 2, 2, 1, 0, 3, 2, 0, 1, 2, 2, 1, 1, 1, 3, 0, 1, 2, 4, 2, 1, 4, 3, 1, 4, 3, 2, 3, 0, 0, 1, 3, 1, 2, 2, 0, 3, 1, 0, 0, 2, 4, 1, 3, 0, 3, 0, 1, 3, 2, 2, 3, 0, 1, 3, 4, 2, 1, 1, 4, 3, 4, 1, 0, 1, 4, 2, 2, 1, 3, 0, 4, 1, 2, 2, 4, 4, 3, 4, 3, 4, 4, 0, 4, 0, 2, 2, 0, 0, 0, 2, 4, 2, 1, 3, 2, 0, 1, 1, 0, 0, 1, 0, 3, 3, 1, 2, 4, 0, 1, 2, 0, 1, 1, 4, 3, 0, 1, 3, 1, 0, 4, 2, 0, 4, 0, 3, 2, 0, 4, 0, 0, 2, 4, 2, 2, 2, 0, 4, 4, 0, 4, 3, 4, 3, 1, 3, 4, 0, 1, 2, 4, 2, 3, 4, 2, 3, 0, 1, 0, 2, 4, 3, 2, 2, 2, 2, 4, 1, 4, 3, 0, 1, 3, 4, 2, 4, 2, 2, 2, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 4, 2, 0, 4, 3, 3, 1, 4, 2, 4, 1, 4, 0, 1, 1, 2, 4, 4, 1, 4, 2, 1, 0, 4, 4, 3, 1, 3, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 3, 1, 2, 3, 2, 1, 4, 4, 2, 1, 2, 1, 2, 1, 4, 0, 3, 1, 4, 2, 0, 1, 4, 2, 1, 2, 1, 0, 0] pubkeycol666 = [4, 3, 1, 2, 1, 0, 2, 4, 4, 3, 3, 4, 3, 1, 1, 2, 1, 1, 2, 3, 2, 2, 0, 4, 1, 0, 1, 3, 3, 1, 1, 2, 1, 4, 0, 2, 3, 4, 2, 4, 1, 1, 2, 4, 4, 3, 1, 2, 1, 4, 0, 3, 4, 0, 0, 4, 2, 0, 3, 2, 1, 3, 4, 2, 3, 2, 4, 3, 0, 3, 2, 2, 2, 0, 1, 3, 1, 1, 1, 1, 2, 2, 2, 1, 3, 4, 4, 0, 0, 0, 2, 3, 4, 3, 0, 3, 1, 3, 2, 0, 1, 2, 4, 0, 3, 4, 1, 0, 4, 4, 3, 4, 4, 0, 3, 2, 4, 0, 4, 4, 3, 2, 1, 4, 0, 3, 3, 2, 4, 2, 4, 3, 3, 1, 0, 2, 1, 2, 0, 2, 4, 4, 0, 4, 4, 3, 3, 3, 4, 0, 4, 0, 3, 3, 4, 0, 4, 0, 0, 3, 0, 4, 4, 1, 0, 4, 4, 2, 0, 1, 1, 0, 3, 2, 1, 1, 4, 3, 4, 4, 3, 2, 1, 4, 4, 4, 1, 2, 2, 4, 2, 3, 3, 1, 3, 1, 4, 0, 2, 1, 1, 3, 0, 2, 1, 4, 0, 4, 0, 2, 4, 2, 0, 0, 3, 1, 1, 1, 1, 3, 1, 3, 2, 0, 4, 0, 0, 3, 3, 0, 0, 1, 4, 3, 4, 3, 0, 0, 3, 1, 1, 1, 3, 2, 0, 0, 1, 1, 0, 1, 4, 4, 4, 2, 3, 1, 0, 2, 1, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 4, 4, 3, 1, 1, 0, 0, 1, 2, 2, 3, 1, 2, 3, 2, 0, 1, 3, 4, 2, 4, 3, 4, 2, 0, 0, 1, 4, 0, 1, 2, 3, 4, 0, 2, 2, 0, 0, 4, 3, 1, 1, 2, 3, 1, 1, 2, 0, 4, 1, 3, 0, 4, 2, 1, 2, 1, 1, 1, 3, 3, 0, 2, 3, 4, 1, 3, 4, 3, 3, 0, 4, 2, 2, 0, 0, 2, 2, 2, 1, 4, 4, 0, 4, 2, 3, 4, 0, 2, 4, 0, 0, 4, 4, 3, 0, 0, 0, 2, 3, 3, 0, 2, 3, 0, 1, 0, 0, 3, 1, 2, 4, 3, 3, 0, 2, 3, 3, 2, 4, 2, 4, 1, 0, 3, 2, 3, 1, 4, 3] pubkeycol667 = [3, 0, 4, 1, 1, 0, 2, 2, 1, 3, 3, 2, 1, 4, 2, 3, 3, 1, 1, 3, 2, 4, 2, 2, 1, 4, 3, 1, 0, 4, 3, 4, 1, 1, 0, 3, 3, 1, 4, 0, 3, 3, 2, 3, 3, 1, 4, 4, 2, 0, 3, 2, 3, 3, 1, 3, 0, 3, 2, 0, 1, 2, 3, 2, 3, 3, 4, 4, 4, 0, 0, 2, 0, 4, 4, 4, 2, 1, 4, 3, 2, 0, 4, 3, 1, 0, 4, 4, 3, 4, 4, 2, 3, 0, 1, 2, 2, 1, 1, 0, 2, 3, 3, 4, 1, 2, 1, 4, 3, 2, 1, 0, 1, 1, 1, 4, 2, 4, 0, 4, 0, 0, 4, 1, 2, 3, 1, 0, 2, 3, 4, 3, 3, 1, 3, 1, 2, 1, 2, 2, 2, 2, 1, 3, 0, 2, 3, 3, 3, 2, 2, 1, 0, 1, 0, 3, 1, 4, 0, 1, 2, 3, 0, 1, 1, 1, 0, 4, 2, 2, 2, 1, 3, 1, 2, 3, 4, 4, 2, 1, 3, 3, 0, 2, 1, 2, 4, 3, 1, 0, 4, 0, 1, 2, 4, 1, 2, 4, 4, 0, 3, 1, 0, 4, 2, 4, 4, 3, 1, 3, 1, 3, 0, 4, 0, 0, 0, 4, 3, 3, 2, 1, 4, 2, 0, 0, 1, 4, 0, 3, 3, 2, 0, 3, 1, 3, 0, 2, 0, 3, 4, 0, 3, 3, 0, 3, 2, 1, 0, 4, 0, 0, 3, 3, 2, 4, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 1, 4, 0, 0, 1, 0, 0, 3, 0, 2, 0, 1, 4, 2, 0, 3, 2, 4, 0, 3, 3, 4, 3, 2, 2, 0, 4, 1, 4, 4, 1, 3, 0, 1, 1, 3, 1, 2, 4, 1, 3, 4, 3, 0, 4, 3, 4, 3, 1, 1, 1, 2, 0, 1, 3, 0, 4, 2, 1, 4, 2, 2, 3, 0, 1, 1, 4, 4, 2, 1, 3, 2, 1, 1, 3, 3, 0, 4, 4, 4, 0, 3, 3, 4, 2, 1, 1, 1, 4, 4, 1, 1, 3, 1, 3, 4, 0, 4, 1, 0, 0, 0, 3, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 3, 4, 0, 4, 0, 0, 0, 4, 0, 3, 1, 1, 2, 2, 0] pubkeycol668 = [4, 0, 0, 0, 4, 1, 2, 4, 1, 2, 4, 0, 2, 1, 3, 4, 3, 1, 1, 0, 3, 4, 2, 0, 1, 3, 2, 1, 2, 1, 4, 0, 3, 1, 1, 0, 2, 3, 3, 2, 1, 3, 2, 1, 0, 2, 0, 3, 2, 4, 2, 2, 1, 3, 0, 1, 3, 3, 3, 2, 4, 4, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 4, 3, 1, 0, 4, 4, 2, 0, 2, 4, 4, 4, 4, 3, 0, 3, 2, 4, 4, 0, 3, 3, 0, 0, 1, 3, 1, 3, 1, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 1, 2, 0, 4, 3, 4, 0, 3, 1, 4, 1, 4, 0, 1, 1, 3, 0, 1, 1, 1, 2, 1, 2, 2, 1, 4, 2, 3, 1, 3, 4, 2, 1, 4, 1, 2, 3, 1, 1, 1, 4, 2, 2, 4, 4, 4, 3, 0, 4, 4, 0, 4, 3, 1, 1, 3, 1, 4, 0, 4, 3, 2, 1, 0, 4, 2, 1, 2, 4, 0, 3, 3, 0, 2, 2, 2, 1, 4, 4, 2, 0, 4, 3, 4, 4, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 1, 1, 0, 3, 4, 2, 3, 1, 3, 4, 3, 2, 1, 2, 4, 0, 3, 2, 4, 4, 3, 2, 2, 1, 3, 4, 1, 1, 2, 4, 2, 3, 3, 2, 4, 3, 3, 0, 0, 4, 3, 3, 1, 4, 0, 1, 1, 1, 1, 0, 2, 2, 4, 1, 1, 4, 0, 3, 2, 1, 3, 0, 1, 0, 1, 3, 3, 2, 3, 3, 3, 4, 2, 4, 0, 3, 4, 1, 0, 2, 4, 4, 0, 0, 0, 1, 0, 3, 1, 2, 0, 4, 0, 2, 4, 1, 4, 0, 2, 0, 0, 0, 2, 0, 3, 4, 2, 2, 0, 0, 1, 4, 2, 2, 1, 0, 1, 4, 0, 1, 4, 4, 2, 2, 2, 4, 0, 0, 3, 2, 3, 4, 1, 4, 3, 0, 4, 0, 0, 0, 3, 2, 3, 4, 1, 3, 2, 1, 3, 4, 3, 1, 1, 3, 4, 4, 4, 4, 0, 0, 1, 1, 2, 2, 1, 4, 2, 3, 3, 3, 2, 0, 3, 4, 4, 1, 1, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 0, 3, 3, 1] pubkeycol669 = [3, 3, 1, 1, 4, 2, 3, 2, 1, 3, 0, 0, 0, 0, 0, 1, 4, 4, 3, 1, 3, 0, 0, 4, 1, 4, 1, 1, 0, 3, 3, 4, 4, 1, 3, 1, 0, 2, 0, 4, 0, 3, 3, 2, 1, 2, 1, 2, 0, 4, 2, 3, 2, 4, 4, 0, 1, 0, 0, 4, 2, 0, 0, 2, 2, 0, 3, 4, 1, 0, 0, 4, 4, 4, 1, 4, 1, 2, 3, 2, 2, 2, 3, 1, 2, 1, 1, 1, 2, 4, 4, 4, 4, 4, 3, 1, 0, 2, 2, 0, 2, 4, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 3, 2, 3, 3, 1, 2, 1, 0, 2, 4, 0, 3, 2, 4, 1, 3, 0, 2, 1, 1, 3, 3, 0, 3, 4, 4, 3, 4, 3, 1, 3, 4, 0, 0, 0, 3, 2, 0, 3, 0, 4, 3, 1, 3, 3, 0, 3, 0, 2, 4, 3, 2, 3, 4, 3, 1, 2, 1, 4, 2, 0, 4, 1, 1, 0, 0, 0, 2, 1, 0, 3, 0, 3, 2, 4, 0, 1, 0, 2, 4, 2, 0, 3, 0, 3, 1, 2, 1, 4, 1, 1, 4, 4, 1, 3, 1, 0, 4, 1, 0, 4, 0, 2, 0, 2, 0, 2, 4, 1, 3, 4, 4, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 4, 1, 1, 1, 2, 2, 3, 1, 4, 0, 3, 1, 3, 4, 2, 3, 4, 2, 1, 1, 2, 1, 0, 2, 0, 2, 3, 0, 3, 1, 2, 0, 0, 2, 4, 0, 3, 2, 0, 4, 4, 3, 3, 2, 2, 0, 1, 3, 0, 2, 4, 3, 1, 0, 1, 1, 4, 3, 0, 0, 1, 3, 1, 0, 1, 4, 1, 1, 1, 0, 0, 1, 2, 1, 3, 3, 3, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 3, 4, 3, 4, 4, 0, 0, 1, 3, 3, 2, 0, 3, 3, 4, 0, 3, 4, 0, 0, 2, 3, 4, 2, 4, 4, 3, 4, 4, 3, 3, 0, 2, 1, 0, 2, 0, 0, 4, 3, 2, 1, 1, 1, 4, 1, 3, 4, 1, 2, 2, 1, 2, 1, 4, 1, 1, 2, 4, 3, 4, 1, 2, 3, 0, 0, 4, 1, 0, 4, 4, 0] pubkeycol670 = [4, 2, 1, 4, 3, 1, 0, 4, 3, 0, 3, 2, 3, 4, 1, 4, 3, 3, 2, 0, 3, 1, 4, 4, 3, 3, 1, 3, 4, 2, 1, 4, 1, 4, 0, 2, 1, 3, 3, 4, 4, 4, 4, 2, 3, 1, 1, 0, 2, 0, 1, 4, 2, 3, 3, 2, 3, 3, 3, 4, 1, 0, 4, 3, 1, 0, 2, 3, 4, 4, 0, 1, 0, 4, 2, 2, 0, 0, 2, 4, 4, 0, 3, 4, 4, 2, 1, 0, 4, 0, 3, 4, 0, 3, 4, 4, 0, 0, 2, 4, 0, 4, 1, 0, 1, 2, 3, 4, 1, 0, 4, 0, 2, 2, 4, 1, 0, 4, 0, 1, 0, 1, 4, 3, 4, 4, 4, 0, 3, 2, 2, 3, 0, 3, 3, 3, 1, 0, 1, 1, 3, 1, 2, 3, 4, 0, 4, 0, 3, 4, 0, 3, 4, 0, 4, 4, 3, 0, 3, 0, 3, 3, 2, 0, 0, 1, 2, 2, 3, 3, 0, 0, 4, 1, 1, 2, 3, 2, 0, 4, 0, 3, 1, 4, 0, 4, 3, 1, 3, 4, 1, 3, 2, 0, 3, 4, 3, 0, 3, 1, 3, 3, 3, 1, 4, 3, 3, 4, 1, 2, 3, 4, 0, 2, 1, 2, 0, 1, 2, 2, 3, 2, 2, 4, 3, 1, 0, 4, 2, 1, 4, 2, 0, 0, 2, 1, 0, 3, 2, 3, 1, 0, 2, 2, 1, 2, 1, 0, 4, 0, 1, 0, 3, 2, 0, 0, 3, 3, 4, 3, 3, 2, 0, 1, 1, 3, 4, 3, 3, 4, 0, 2, 0, 4, 2, 3, 0, 1, 4, 2, 2, 2, 2, 4, 1, 4, 4, 0, 2, 4, 4, 2, 1, 3, 4, 2, 2, 1, 0, 3, 0, 0, 1, 4, 2, 3, 4, 1, 4, 4, 2, 1, 2, 0, 3, 2, 4, 0, 1, 3, 4, 0, 1, 3, 4, 1, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 2, 1, 2, 3, 4, 1, 1, 4, 3, 3, 3, 2, 2, 3, 3, 3, 4, 0, 2, 3, 0, 4, 4, 0, 2, 3, 4, 4, 4, 2, 0, 2, 4, 3, 4, 1, 3, 1, 0, 3, 0, 4, 0, 2, 4, 1, 1, 2, 4, 0, 0, 0, 4, 2, 1, 2, 2, 3, 2, 4, 3, 2] pubkeycol671 = [0, 1, 2, 1, 2, 1, 0, 3, 3, 4, 1, 0, 3, 2, 1, 3, 4, 3, 0, 4, 3, 4, 4, 0, 3, 0, 3, 1, 4, 4, 4, 1, 2, 2, 4, 4, 2, 2, 2, 0, 1, 2, 3, 2, 3, 1, 1, 1, 0, 0, 3, 3, 4, 3, 2, 0, 3, 0, 3, 0, 1, 2, 1, 1, 0, 0, 1, 2, 4, 2, 3, 4, 4, 0, 4, 0, 1, 4, 1, 1, 4, 2, 3, 2, 1, 3, 4, 3, 2, 2, 1, 1, 4, 3, 1, 4, 0, 2, 1, 1, 0, 3, 4, 4, 0, 0, 0, 4, 3, 2, 2, 2, 0, 4, 3, 0, 1, 1, 3, 2, 1, 4, 2, 1, 1, 3, 3, 1, 0, 4, 2, 1, 2, 4, 1, 4, 1, 0, 1, 0, 1, 2, 3, 0, 3, 1, 0, 3, 4, 1, 0, 0, 0, 2, 0, 1, 3, 1, 3, 1, 0, 1, 4, 4, 0, 4, 4, 4, 3, 2, 1, 2, 3, 3, 4, 2, 3, 3, 0, 3, 3, 3, 3, 0, 2, 3, 1, 3, 3, 0, 4, 3, 1, 4, 1, 1, 0, 3, 1, 1, 3, 3, 2, 0, 3, 1, 1, 0, 3, 2, 2, 2, 0, 4, 2, 0, 2, 4, 2, 3, 0, 1, 1, 3, 4, 0, 2, 3, 2, 4, 0, 0, 3, 1, 2, 4, 1, 3, 3, 3, 3, 1, 1, 4, 3, 3, 0, 2, 3, 2, 1, 3, 3, 2, 1, 2, 1, 4, 3, 1, 3, 1, 1, 0, 4, 1, 3, 2, 0, 1, 1, 3, 3, 4, 4, 2, 3, 0, 3, 0, 1, 1, 4, 4, 1, 3, 1, 0, 3, 4, 1, 2, 4, 3, 1, 0, 4, 2, 4, 3, 2, 1, 2, 0, 2, 0, 2, 0, 1, 4, 1, 4, 3, 1, 2, 0, 3, 3, 3, 4, 2, 0, 0, 3, 4, 1, 4, 3, 3, 4, 4, 2, 2, 4, 0, 2, 4, 0, 3, 1, 0, 2, 3, 4, 0, 2, 3, 2, 1, 1, 1, 2, 3, 1, 3, 3, 1, 3, 4, 4, 3, 2, 3, 4, 1, 1, 3, 3, 0, 2, 3, 1, 2, 0, 4, 0, 1, 3, 4, 1, 0, 4, 0, 2, 0, 3, 0, 4, 0, 4, 0, 3, 3, 3, 2, 2, 0, 1, 0, 0] pubkeycol672 = [2, 1, 0, 0, 0, 1, 2, 4, 3, 4, 3, 3, 1, 0, 3, 4, 3, 4, 2, 1, 3, 3, 1, 1, 1, 1, 4, 0, 4, 4, 1, 1, 0, 4, 2, 3, 1, 2, 2, 1, 4, 2, 3, 0, 4, 0, 4, 1, 0, 1, 4, 1, 2, 2, 4, 0, 0, 1, 1, 3, 2, 3, 2, 1, 1, 4, 4, 4, 0, 1, 3, 4, 0, 2, 4, 3, 1, 2, 2, 4, 3, 4, 2, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 2, 2, 1, 0, 4, 3, 0, 4, 3, 0, 3, 2, 4, 0, 3, 0, 2, 0, 1, 2, 4, 0, 0, 2, 0, 1, 2, 4, 2, 3, 3, 0, 1, 2, 1, 4, 0, 2, 3, 0, 1, 2, 2, 4, 4, 3, 0, 4, 1, 0, 2, 2, 4, 1, 0, 3, 2, 3, 2, 1, 3, 3, 1, 4, 1, 1, 3, 0, 1, 2, 3, 2, 1, 4, 3, 3, 2, 2, 0, 4, 0, 4, 4, 4, 3, 0, 2, 0, 0, 1, 3, 0, 4, 3, 2, 2, 1, 3, 3, 1, 4, 1, 3, 1, 0, 0, 1, 1, 4, 2, 2, 2, 3, 0, 4, 4, 2, 3, 3, 1, 0, 1, 2, 0, 2, 1, 2, 4, 2, 3, 3, 2, 2, 3, 1, 3, 3, 4, 0, 0, 4, 4, 0, 2, 1, 2, 3, 3, 3, 3, 3, 2, 1, 4, 0, 3, 4, 4, 1, 2, 0, 2, 1, 3, 0, 0, 2, 4, 0, 1, 2, 2, 0, 2, 3, 0, 2, 3, 3, 2, 4, 3, 4, 4, 4, 1, 4, 2, 4, 0, 4, 2, 3, 4, 3, 2, 4, 2, 3, 4, 2, 4, 2, 3, 4, 2, 0, 2, 4, 2, 2, 4, 3, 2, 2, 4, 2, 0, 3, 3, 1, 3, 2, 1, 0, 1, 0, 2, 4, 0, 2, 0, 4, 2, 1, 2, 3, 0, 2, 3, 1, 0, 4, 0, 3, 2, 1, 4, 3, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 4, 1, 4, 1, 1, 4, 1, 4, 2, 1, 4, 2, 2, 1, 2, 1, 3, 4, 2, 0, 2, 4, 1, 2, 4, 2, 2, 0, 0, 3, 2, 3, 2, 0, 2, 3, 0, 4, 1, 0, 0, 0, 0] pubkeycol673 = [3, 1, 0, 1, 1, 2, 2, 0, 1, 3, 3, 0, 2, 2, 3, 0, 4, 0, 0, 1, 2, 2, 1, 4, 2, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 2, 2, 3, 1, 4, 3, 0, 4, 4, 4, 0, 2, 4, 2, 0, 1, 4, 0, 0, 4, 2, 3, 2, 1, 2, 3, 2, 1, 4, 4, 1, 3, 1, 0, 3, 4, 0, 1, 0, 2, 0, 0, 4, 0, 3, 1, 1, 3, 4, 1, 4, 3, 1, 1, 1, 3, 1, 0, 0, 2, 0, 2, 4, 4, 4, 3, 1, 2, 2, 4, 2, 4, 0, 0, 3, 3, 3, 1, 3, 0, 2, 3, 3, 0, 2, 1, 2, 0, 4, 2, 1, 2, 2, 4, 4, 2, 4, 3, 0, 0, 1, 4, 2, 1, 3, 3, 4, 2, 3, 1, 0, 0, 0, 0, 1, 2, 3, 2, 3, 1, 4, 1, 2, 3, 2, 4, 2, 0, 2, 0, 4, 2, 3, 1, 4, 0, 3, 1, 3, 2, 0, 3, 0, 3, 1, 0, 0, 4, 2, 2, 3, 4, 3, 2, 0, 3, 0, 0, 0, 0, 3, 1, 2, 0, 1, 3, 3, 3, 0, 4, 3, 2, 3, 3, 3, 3, 2, 3, 4, 1, 1, 4, 4, 2, 1, 1, 1, 1, 3, 4, 2, 3, 4, 2, 1, 1, 2, 3, 1, 4, 0, 4, 0, 1, 1, 1, 1, 3, 2, 2, 3, 3, 2, 1, 1, 2, 4, 0, 4, 1, 3, 1, 0, 2, 2, 4, 1, 4, 4, 0, 0, 4, 4, 2, 3, 3, 3, 3, 2, 2, 4, 4, 4, 2, 2, 3, 4, 0, 2, 1, 4, 3, 0, 0, 1, 4, 0, 1, 1, 0, 1, 0, 3, 0, 3, 1, 4, 1, 2, 1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 4, 3, 4, 2, 3, 1, 1, 4, 0, 2, 0, 2, 2, 1, 1, 3, 1, 1, 2, 2, 3, 1, 4, 3, 0, 3, 4, 0, 0, 0, 1, 3, 3, 4, 2, 3, 3, 4, 3, 1, 2, 3, 1, 0, 0, 4, 1, 0, 0, 4, 2, 0, 1, 2, 2, 3, 1, 1, 4, 3, 4, 1, 3, 2, 0, 4, 3, 4, 3, 2, 4, 4, 2, 2, 4, 1, 1, 4, 4, 2, 4, 1, 1, 3] pubkeycol674 = [2, 0, 0, 2, 1, 2, 0, 4, 4, 2, 1, 3, 3, 0, 3, 1, 0, 2, 1, 1, 3, 3, 1, 2, 0, 1, 0, 0, 4, 2, 0, 0, 2, 2, 1, 2, 2, 4, 3, 0, 1, 2, 0, 0, 3, 1, 3, 4, 2, 2, 4, 1, 3, 4, 0, 4, 3, 2, 1, 1, 1, 3, 4, 3, 0, 3, 1, 4, 3, 4, 0, 3, 3, 4, 1, 2, 2, 3, 0, 0, 3, 1, 3, 0, 4, 2, 0, 0, 2, 3, 2, 3, 2, 2, 4, 0, 4, 1, 2, 1, 0, 3, 2, 4, 1, 3, 0, 3, 0, 3, 0, 0, 4, 0, 3, 4, 1, 0, 4, 0, 2, 2, 2, 1, 2, 1, 0, 4, 4, 3, 4, 3, 2, 4, 3, 3, 4, 0, 2, 2, 1, 2, 3, 3, 4, 0, 4, 0, 1, 2, 4, 0, 0, 4, 0, 3, 3, 1, 4, 2, 4, 0, 1, 2, 1, 1, 2, 0, 4, 0, 0, 1, 2, 2, 1, 3, 4, 0, 0, 3, 4, 1, 2, 4, 4, 2, 3, 3, 3, 0, 1, 1, 4, 4, 2, 2, 4, 0, 0, 3, 1, 4, 0, 2, 3, 3, 2, 4, 1, 4, 2, 3, 2, 1, 4, 4, 1, 3, 2, 1, 3, 2, 2, 4, 0, 2, 1, 4, 2, 2, 4, 0, 0, 1, 4, 4, 1, 1, 2, 2, 0, 2, 2, 2, 4, 3, 0, 1, 4, 3, 4, 1, 4, 1, 4, 3, 1, 3, 0, 1, 4, 2, 3, 1, 0, 1, 0, 4, 3, 2, 0, 0, 3, 1, 2, 0, 4, 1, 0, 1, 1, 0, 0, 4, 2, 0, 4, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 3, 0, 3, 1, 3, 1, 1, 1, 4, 4, 4, 1, 1, 0, 0, 2, 4, 3, 1, 4, 2, 0, 1, 1, 2, 1, 0, 1, 3, 4, 1, 2, 1, 0, 1, 3, 0, 4, 0, 3, 3, 3, 2, 1, 1, 1, 1, 1, 3, 2, 2, 3, 4, 4, 2, 2, 4, 1, 3, 1, 4, 4, 3, 2, 2, 4, 1, 2, 4, 1, 0, 3, 3, 0, 4, 2, 3, 1, 4, 2, 0, 3, 1, 0, 3, 0, 3, 4, 4, 1, 2, 2, 1, 1, 2, 0, 4, 0, 0, 2] pubkeycol675 = [1, 1, 4, 2, 2, 2, 1, 2, 1, 4, 2, 1, 0, 0, 1, 3, 1, 3, 1, 1, 3, 0, 2, 4, 4, 4, 2, 2, 1, 0, 3, 3, 1, 1, 0, 1, 1, 2, 1, 4, 0, 0, 2, 1, 3, 4, 0, 4, 2, 3, 4, 1, 3, 4, 1, 4, 0, 1, 3, 3, 3, 0, 1, 3, 1, 4, 4, 4, 3, 3, 1, 1, 0, 4, 4, 2, 2, 3, 4, 3, 1, 4, 1, 3, 2, 3, 1, 3, 4, 4, 1, 0, 1, 3, 2, 1, 1, 4, 0, 3, 1, 1, 3, 4, 2, 1, 3, 4, 2, 4, 4, 0, 0, 4, 3, 4, 3, 0, 2, 0, 2, 4, 1, 2, 4, 1, 1, 3, 3, 2, 0, 1, 4, 3, 1, 3, 1, 1, 0, 1, 0, 4, 3, 1, 3, 2, 1, 3, 0, 3, 2, 1, 0, 0, 1, 4, 3, 4, 2, 1, 1, 0, 3, 2, 4, 4, 3, 0, 2, 1, 1, 2, 1, 1, 3, 0, 1, 3, 3, 2, 1, 2, 0, 3, 3, 1, 3, 3, 3, 2, 1, 4, 2, 0, 3, 2, 3, 2, 1, 1, 0, 3, 3, 3, 1, 2, 4, 3, 1, 0, 2, 4, 2, 0, 4, 3, 4, 2, 0, 4, 1, 2, 4, 3, 2, 2, 4, 3, 4, 3, 1, 4, 3, 4, 3, 4, 2, 0, 1, 2, 4, 4, 2, 4, 3, 2, 0, 1, 2, 1, 4, 2, 0, 2, 4, 4, 2, 2, 2, 4, 0, 0, 0, 2, 2, 4, 0, 4, 3, 3, 2, 3, 4, 0, 1, 2, 0, 4, 2, 3, 4, 1, 2, 4, 2, 4, 0, 0, 2, 2, 3, 3, 4, 4, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 0, 2, 2, 3, 0, 4, 1, 0, 3, 2, 4, 3, 3, 0, 2, 2, 2, 2, 0, 1, 4, 3, 3, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 4, 2, 3, 2, 3, 2, 2, 1, 3, 0, 1, 4, 4, 3, 3, 2, 3, 4, 2, 4, 4, 3, 2, 0, 4, 1, 4, 4, 0, 0, 2, 3, 1, 1, 4, 2, 0, 0, 2, 4, 0, 4, 2, 2, 3, 4, 4, 0, 4, 2, 0, 0, 4, 3, 2, 2, 1, 1, 1, 1] pubkeycol676 = [1, 2, 4, 3, 3, 1, 2, 3, 3, 0, 2, 2, 4, 2, 2, 1, 1, 0, 3, 2, 3, 4, 3, 0, 3, 2, 1, 1, 3, 4, 4, 0, 1, 4, 0, 3, 3, 0, 1, 1, 4, 0, 2, 1, 1, 0, 3, 1, 4, 0, 3, 2, 3, 1, 3, 4, 0, 0, 4, 0, 1, 3, 1, 1, 2, 0, 2, 3, 2, 1, 0, 2, 1, 3, 0, 0, 0, 2, 0, 4, 4, 1, 1, 1, 4, 1, 0, 2, 1, 1, 2, 3, 4, 4, 0, 2, 3, 4, 4, 1, 3, 3, 1, 4, 4, 1, 4, 2, 3, 2, 1, 4, 0, 2, 3, 3, 0, 3, 3, 2, 0, 3, 4, 0, 1, 0, 1, 0, 0, 3, 0, 1, 1, 2, 1, 2, 0, 2, 2, 3, 1, 3, 3, 4, 2, 3, 3, 4, 0, 4, 2, 4, 4, 1, 2, 3, 2, 2, 4, 0, 4, 3, 1, 4, 2, 1, 3, 3, 3, 0, 2, 1, 2, 0, 0, 1, 4, 4, 1, 2, 1, 2, 2, 1, 4, 0, 4, 3, 4, 0, 4, 1, 2, 0, 4, 1, 3, 2, 2, 0, 2, 4, 3, 4, 2, 4, 1, 2, 1, 4, 1, 4, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 3, 2, 2, 4, 2, 2, 1, 0, 2, 4, 2, 2, 4, 0, 1, 1, 2, 0, 0, 2, 0, 3, 3, 2, 3, 2, 0, 0, 4, 1, 4, 0, 3, 0, 4, 4, 3, 4, 4, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 3, 2, 1, 0, 2, 4, 3, 1, 4, 1, 0, 1, 0, 3, 2, 3, 2, 1, 0, 3, 4, 3, 1, 1, 4, 0, 2, 0, 4, 1, 1, 0, 4, 3, 3, 1, 3, 2, 3, 0, 4, 4, 3, 4, 4, 0, 4, 0, 3, 4, 1, 2, 4, 1, 1, 3, 0, 4, 1, 1, 1, 4, 2, 2, 3, 1, 2, 0, 0, 2, 4, 1, 1, 2, 1, 0, 2, 4, 4, 0, 4, 1, 1, 4, 4, 3, 3, 3, 4, 2, 4, 2, 4, 1, 1, 0, 0, 2, 2, 1, 4, 2, 4, 1, 2, 2, 4, 1, 0, 4, 2, 0, 4, 4, 4, 4, 2, 2, 3, 4, 3, 4, 1, 1, 1, 4, 3, 0] pubkeycol677 = [2, 0, 4, 4, 0, 1, 1, 0, 4, 0, 1, 4, 2, 0, 3, 3, 0, 0, 3, 4, 3, 0, 0, 0, 4, 2, 0, 0, 4, 4, 2, 1, 2, 0, 0, 4, 2, 4, 0, 2, 1, 0, 0, 3, 3, 1, 4, 1, 1, 0, 4, 0, 3, 2, 4, 0, 2, 2, 4, 1, 4, 3, 2, 0, 0, 2, 3, 4, 0, 4, 4, 3, 0, 2, 2, 0, 4, 4, 4, 2, 1, 3, 1, 2, 3, 2, 4, 0, 4, 0, 3, 3, 2, 4, 3, 2, 4, 2, 1, 1, 0, 2, 3, 4, 2, 1, 2, 1, 4, 0, 4, 3, 1, 4, 0, 4, 3, 3, 0, 0, 4, 3, 3, 2, 2, 2, 1, 0, 4, 2, 3, 2, 2, 4, 0, 0, 2, 1, 3, 4, 4, 3, 3, 0, 0, 4, 1, 3, 2, 4, 2, 0, 4, 1, 0, 3, 3, 3, 1, 2, 1, 1, 0, 3, 2, 4, 4, 1, 0, 4, 4, 0, 2, 2, 1, 4, 4, 1, 0, 0, 3, 3, 4, 2, 0, 3, 4, 3, 1, 2, 3, 1, 4, 1, 1, 2, 2, 1, 4, 3, 4, 4, 3, 0, 1, 0, 4, 2, 4, 1, 0, 1, 0, 3, 2, 4, 3, 0, 1, 4, 0, 2, 3, 2, 3, 3, 1, 4, 2, 2, 2, 4, 4, 4, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 4, 2, 4, 2, 4, 1, 4, 1, 0, 0, 0, 3, 3, 0, 4, 2, 0, 4, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 3, 3, 3, 1, 4, 2, 1, 4, 1, 0, 0, 2, 0, 2, 1, 0, 3, 2, 4, 2, 0, 4, 0, 1, 4, 3, 1, 4, 2, 1, 2, 1, 0, 1, 1, 4, 2, 4, 2, 3, 4, 2, 2, 4, 3, 0, 4, 2, 0, 0, 2, 4, 0, 3, 0, 1, 1, 4, 3, 0, 3, 2, 0, 3, 1, 4, 2, 4, 3, 2, 4, 3, 0, 2, 2, 3, 1, 2, 4, 4, 4, 1, 4, 4, 3, 2, 1, 2, 0, 3, 2, 3, 0, 4, 4, 0, 4, 3, 0, 1, 1, 1, 3, 0, 4, 2, 4, 1, 3, 0, 1, 0, 1, 0, 0, 3, 4, 1, 3, 3, 2, 2, 4, 3, 2] pubkeycol678 = [1, 4, 1, 2, 2, 0, 3, 3, 4, 2, 1, 3, 1, 0, 4, 3, 4, 2, 1, 1, 2, 4, 4, 4, 1, 2, 4, 1, 4, 4, 0, 3, 1, 1, 1, 4, 1, 1, 4, 3, 4, 0, 0, 4, 1, 2, 3, 4, 0, 4, 0, 3, 0, 1, 0, 1, 0, 0, 3, 3, 4, 2, 1, 4, 4, 1, 3, 2, 4, 1, 4, 2, 0, 0, 0, 0, 2, 2, 3, 1, 1, 3, 2, 4, 3, 0, 4, 1, 3, 3, 3, 0, 4, 2, 3, 1, 0, 3, 3, 0, 2, 2, 3, 4, 0, 3, 4, 0, 1, 2, 1, 4, 1, 0, 3, 3, 4, 1, 1, 0, 2, 3, 0, 4, 4, 4, 3, 0, 4, 1, 2, 0, 2, 2, 2, 2, 3, 3, 4, 4, 0, 1, 2, 4, 2, 2, 0, 0, 0, 3, 3, 3, 4, 0, 3, 3, 4, 1, 1, 3, 1, 0, 3, 0, 3, 3, 2, 2, 4, 2, 4, 1, 4, 1, 2, 4, 4, 1, 0, 2, 3, 0, 2, 1, 3, 2, 4, 2, 4, 0, 2, 3, 3, 2, 1, 0, 2, 1, 1, 0, 4, 2, 2, 2, 4, 0, 4, 3, 1, 3, 3, 2, 4, 3, 0, 4, 2, 0, 1, 3, 4, 4, 3, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 3, 3, 0, 0, 1, 1, 4, 3, 0, 0, 4, 3, 0, 4, 2, 1, 4, 1, 3, 1, 4, 3, 0, 4, 3, 4, 3, 0, 3, 4, 2, 4, 3, 0, 1, 0, 2, 2, 3, 0, 1, 3, 0, 3, 0, 3, 3, 4, 1, 4, 2, 4, 3, 4, 4, 2, 0, 2, 1, 0, 1, 0, 1, 3, 2, 3, 4, 0, 2, 1, 4, 3, 2, 2, 2, 0, 1, 2, 2, 3, 1, 1, 4, 0, 1, 0, 1, 3, 0, 3, 3, 1, 4, 1, 0, 3, 4, 0, 4, 0, 1, 3, 4, 0, 3, 0, 2, 0, 1, 0, 4, 3, 2, 0, 4, 3, 3, 2, 4, 4, 1, 3, 1, 2, 2, 1, 2, 4, 0, 3, 4, 2, 3, 1, 0, 1, 3, 3, 4, 2, 2, 4, 1, 1, 4, 1, 4, 1, 4, 0, 2, 1, 1, 4, 0, 3, 1, 4, 3, 1, 3, 0, 2, 2] pubkeycol679 = [3, 0, 0, 2, 4, 0, 3, 1, 0, 4, 1, 4, 4, 1, 3, 2, 1, 3, 0, 4, 3, 1, 3, 4, 1, 3, 3, 1, 1, 1, 1, 2, 2, 4, 0, 1, 4, 1, 2, 0, 0, 3, 4, 3, 0, 1, 2, 4, 4, 3, 2, 4, 0, 1, 0, 3, 3, 1, 1, 1, 0, 1, 4, 3, 0, 4, 0, 1, 1, 0, 2, 1, 0, 2, 1, 3, 4, 1, 1, 4, 3, 4, 0, 3, 4, 1, 4, 2, 2, 2, 4, 1, 2, 2, 2, 1, 3, 1, 1, 0, 1, 4, 1, 2, 1, 2, 3, 0, 0, 2, 0, 1, 3, 4, 2, 2, 3, 4, 0, 2, 1, 4, 1, 1, 1, 0, 3, 2, 2, 1, 4, 4, 2, 3, 3, 3, 4, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 3, 1, 1, 4, 4, 2, 2, 2, 2, 3, 4, 0, 1, 1, 4, 3, 3, 2, 0, 3, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 3, 4, 0, 0, 2, 3, 3, 3, 3, 3, 2, 2, 1, 0, 1, 3, 4, 2, 0, 4, 1, 3, 0, 4, 4, 3, 4, 3, 2, 2, 2, 2, 0, 1, 3, 1, 2, 3, 2, 0, 2, 4, 2, 0, 1, 1, 4, 4, 0, 0, 3, 3, 0, 0, 4, 1, 1, 4, 0, 1, 3, 0, 3, 0, 3, 0, 4, 0, 0, 1, 4, 4, 2, 3, 0, 2, 4, 2, 3, 4, 2, 0, 2, 4, 4, 4, 0, 2, 1, 0, 2, 0, 4, 3, 2, 4, 1, 1, 0, 3, 0, 0, 0, 4, 1, 3, 0, 0, 0, 4, 0, 1, 3, 3, 0, 1, 4, 4, 4, 3, 2, 0, 1, 0, 0, 2, 0, 4, 1, 0, 1, 2, 0, 3, 3, 0, 1, 0, 3, 3, 1, 1, 1, 4, 0, 0, 4, 1, 4, 4, 3, 1, 0, 0, 4, 0, 0, 4, 1, 4, 2, 4, 1, 3, 0, 1, 1, 3, 2, 2, 2, 0, 1, 2, 4, 2, 2, 4, 3, 1, 4, 2, 1, 4, 1, 1, 4, 4, 4, 1, 1, 2, 0, 3, 2, 2, 1, 4, 0, 3, 2, 1, 1, 3, 4, 1, 1, 2, 3, 2, 0, 2, 3, 3, 2, 1, 0, 1, 1, 4, 4] pubkeycol680 = [2, 0, 0, 2, 4, 1, 4, 1, 3, 2, 0, 0, 4, 4, 0, 2, 2, 2, 3, 0, 1, 2, 0, 0, 2, 1, 4, 3, 4, 4, 1, 1, 4, 2, 2, 1, 0, 2, 4, 3, 0, 2, 0, 4, 0, 0, 1, 0, 3, 1, 0, 1, 2, 0, 2, 3, 4, 2, 1, 1, 4, 0, 1, 2, 1, 4, 3, 4, 4, 1, 2, 3, 1, 0, 1, 3, 0, 2, 3, 0, 2, 2, 1, 1, 1, 4, 2, 3, 4, 3, 3, 0, 1, 1, 4, 4, 4, 0, 0, 3, 2, 2, 0, 4, 4, 2, 2, 3, 4, 0, 4, 1, 1, 0, 2, 4, 2, 1, 4, 1, 3, 3, 3, 0, 0, 1, 1, 1, 2, 2, 1, 3, 4, 0, 0, 1, 1, 2, 3, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 3, 4, 1, 1, 3, 1, 2, 2, 1, 0, 2, 2, 3, 0, 3, 4, 0, 3, 0, 4, 3, 3, 0, 1, 2, 4, 3, 2, 1, 2, 1, 0, 1, 3, 0, 0, 3, 4, 0, 2, 4, 3, 0, 0, 2, 1, 4, 2, 2, 4, 0, 0, 2, 0, 4, 0, 0, 0, 4, 3, 1, 1, 1, 3, 4, 4, 1, 0, 1, 1, 3, 4, 2, 0, 4, 0, 2, 0, 3, 4, 4, 0, 3, 2, 3, 3, 2, 0, 1, 1, 3, 1, 3, 1, 2, 3, 2, 0, 1, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 1, 3, 2, 3, 0, 4, 2, 4, 1, 3, 4, 3, 1, 2, 3, 1, 4, 1, 1, 4, 1, 0, 2, 3, 4, 4, 4, 4, 3, 3, 0, 0, 0, 4, 0, 4, 2, 2, 0, 0, 1, 3, 4, 2, 3, 2, 4, 0, 1, 4, 3, 2, 3, 2, 3, 4, 1, 2, 2, 3, 2, 2, 2, 4, 0, 0, 2, 4, 4, 0, 2, 3, 2, 2, 0, 2, 4, 4, 3, 0, 3, 1, 0, 3, 2, 3, 0, 0, 2, 3, 1, 4, 1, 0, 0, 1, 1, 0, 3, 2, 4, 0, 2, 3, 1, 4, 0, 0, 0, 3, 4, 1, 3, 0, 4, 3, 4, 4, 2, 0, 4, 3, 1, 3, 0, 2, 4, 4, 1, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol681 = [0, 0, 1, 0, 2, 1, 2, 3, 0, 0, 1, 1, 2, 4, 1, 0, 3, 1, 0, 3, 4, 2, 2, 4, 3, 3, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 3, 1, 0, 1, 4, 1, 4, 3, 4, 4, 4, 1, 4, 1, 3, 2, 2, 4, 4, 0, 2, 2, 0, 3, 1, 3, 1, 2, 0, 4, 2, 2, 3, 4, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 4, 0, 3, 0, 4, 0, 0, 0, 3, 1, 0, 3, 0, 3, 3, 4, 2, 4, 0, 0, 0, 2, 1, 3, 4, 0, 3, 3, 0, 3, 3, 4, 3, 3, 1, 3, 0, 1, 3, 1, 0, 0, 1, 1, 2, 1, 3, 0, 3, 2, 1, 4, 2, 0, 0, 1, 4, 0, 4, 1, 2, 2, 3, 4, 4, 1, 1, 3, 3, 3, 3, 4, 3, 3, 0, 1, 2, 3, 2, 1, 3, 3, 0, 2, 0, 3, 4, 3, 2, 1, 2, 2, 2, 0, 2, 4, 0, 1, 3, 2, 4, 3, 3, 2, 1, 0, 0, 3, 0, 2, 0, 1, 2, 3, 1, 1, 1, 0, 4, 2, 3, 1, 4, 0, 4, 1, 1, 3, 2, 4, 4, 1, 3, 0, 3, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 4, 1, 4, 4, 2, 1, 4, 0, 0, 2, 0, 0, 2, 1, 3, 0, 1, 2, 1, 1, 1, 0, 0, 3, 0, 3, 2, 3, 4, 0, 1, 2, 1, 0, 4, 4, 2, 2, 3, 4, 1, 4, 1, 3, 3, 4, 4, 3, 0, 3, 4, 0, 0, 0, 2, 0, 0, 4, 3, 0, 4, 4, 1, 3, 4, 1, 2, 2, 0, 2, 1, 1, 0, 0, 3, 1, 2, 3, 4, 2, 4, 2, 1, 2, 2, 0, 1, 4, 2, 0, 4, 3, 0, 1, 0, 1, 4, 0, 4, 4, 4, 4, 2, 4, 3, 3, 4, 3, 1, 3, 2, 2, 4, 2, 3, 2, 0, 4, 0, 3, 1, 4, 1, 2, 3, 0, 3, 1, 3, 3, 2, 0, 4, 0, 0, 4, 3, 2, 0, 4, 1, 0, 1, 4, 4, 4, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 3, 4, 0, 2, 4, 4, 1, 2, 1, 3, 1, 0, 3, 2, 0, 0, 0, 3, 1] pubkeycol682 = [3, 3, 3, 4, 0, 2, 2, 1, 2, 4, 4, 1, 3, 3, 1, 2, 1, 1, 4, 1, 0, 2, 0, 1, 1, 4, 0, 0, 1, 0, 3, 4, 1, 0, 1, 4, 4, 0, 4, 4, 0, 0, 1, 1, 1, 4, 4, 1, 0, 1, 1, 3, 2, 2, 4, 0, 3, 3, 1, 2, 0, 2, 1, 0, 4, 2, 2, 2, 3, 1, 0, 3, 1, 2, 4, 3, 4, 1, 0, 2, 2, 2, 1, 1, 2, 3, 1, 0, 3, 1, 1, 2, 4, 1, 2, 3, 0, 2, 3, 2, 1, 3, 1, 4, 2, 1, 3, 2, 0, 1, 2, 1, 3, 1, 0, 3, 3, 2, 2, 3, 4, 2, 2, 4, 3, 2, 0, 0, 0, 3, 2, 0, 0, 3, 1, 3, 2, 1, 3, 0, 2, 3, 3, 0, 0, 4, 1, 4, 1, 2, 0, 4, 3, 1, 1, 1, 4, 3, 1, 1, 2, 2, 4, 2, 3, 4, 2, 4, 2, 1, 4, 4, 2, 3, 0, 0, 2, 1, 4, 4, 3, 1, 3, 3, 1, 0, 2, 4, 0, 3, 4, 3, 3, 3, 0, 2, 4, 4, 2, 0, 0, 1, 3, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 4, 1, 2, 2, 4, 3, 4, 4, 4, 2, 0, 4, 3, 1, 0, 1, 1, 2, 2, 2, 4, 2, 4, 0, 3, 2, 3, 4, 2, 0, 3, 1, 4, 1, 3, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 3, 4, 4, 2, 0, 4, 2, 3, 4, 2, 2, 3, 4, 3, 1, 3, 1, 4, 1, 3, 4, 0, 3, 3, 4, 1, 3, 1, 1, 1, 1, 0, 1, 4, 3, 3, 0, 1, 1, 3, 2, 4, 1, 3, 0, 3, 3, 4, 0, 4, 4, 4, 4, 1, 3, 2, 2, 1, 1, 0, 1, 3, 2, 2, 4, 3, 1, 3, 4, 1, 2, 0, 4, 0, 0, 1, 0, 2, 2, 4, 2, 2, 4, 0, 0, 2, 2, 3, 2, 2, 3, 4, 0, 1, 4, 1, 3, 3, 2, 4, 0, 4, 4, 0, 3, 1, 0, 0, 2, 4, 4, 0, 2, 2, 1, 2, 4, 0, 1, 1, 3, 0, 0, 0, 2, 0, 2, 4, 1, 0, 0, 2, 3, 0] pubkeycol683 = [4, 4, 1, 2, 0, 4, 3, 0, 1, 1, 3, 2, 1, 1, 3, 3, 3, 4, 1, 3, 3, 0, 4, 2, 0, 3, 0, 0, 1, 2, 4, 1, 1, 4, 2, 2, 2, 3, 4, 4, 3, 1, 0, 0, 1, 2, 2, 3, 4, 4, 2, 4, 0, 1, 4, 4, 1, 0, 4, 3, 2, 2, 2, 4, 4, 3, 2, 0, 0, 3, 3, 4, 0, 2, 2, 2, 1, 3, 1, 3, 2, 3, 0, 0, 2, 3, 3, 4, 3, 4, 2, 2, 2, 4, 4, 2, 1, 0, 0, 1, 2, 0, 4, 1, 4, 0, 4, 4, 2, 2, 2, 4, 3, 1, 3, 3, 1, 2, 2, 0, 1, 1, 4, 0, 1, 0, 3, 2, 0, 2, 4, 1, 2, 3, 4, 0, 0, 3, 4, 1, 0, 4, 0, 2, 4, 3, 3, 4, 2, 3, 0, 0, 2, 2, 3, 2, 4, 1, 1, 0, 3, 3, 3, 0, 0, 3, 4, 0, 0, 1, 3, 2, 0, 4, 2, 1, 4, 3, 1, 3, 0, 0, 1, 3, 0, 2, 0, 0, 3, 4, 3, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 4, 1, 0, 0, 1, 3, 2, 3, 0, 0, 1, 0, 2, 2, 4, 0, 3, 3, 2, 2, 2, 4, 1, 2, 4, 4, 2, 4, 2, 1, 2, 3, 3, 3, 2, 1, 3, 1, 1, 2, 0, 3, 1, 3, 3, 0, 0, 3, 0, 3, 0, 4, 1, 4, 4, 4, 0, 2, 0, 4, 3, 4, 3, 3, 1, 4, 0, 3, 2, 0, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 4, 1, 1, 1, 3, 1, 3, 2, 1, 0, 4, 3, 4, 1, 1, 1, 4, 2, 0, 0, 0, 1, 4, 2, 0, 1, 1, 2, 0, 3, 0, 2, 1, 1, 0, 3, 3, 0, 2, 4, 0, 2, 1, 0, 4, 0, 3, 3, 3, 4, 0, 4, 3, 2, 3, 1, 3, 3, 2, 1, 4, 4, 4, 0, 3, 3, 1, 0, 4, 2, 2, 2, 0, 3, 2, 3, 4, 1, 0, 2, 4, 1, 3, 2, 1, 2, 2, 4, 3, 1, 2, 1, 0, 2, 4, 3, 3, 4, 2, 3, 3, 1, 2, 3, 0, 1, 2, 3, 4, 3, 0, 1, 0, 2, 0, 1, 2] pubkeycol684 = [0, 1, 4, 1, 3, 1, 4, 4, 4, 0, 1, 3, 3, 0, 0, 3, 1, 3, 4, 0, 2, 2, 1, 4, 2, 3, 2, 0, 4, 0, 4, 1, 3, 3, 3, 3, 3, 0, 1, 0, 1, 4, 1, 4, 1, 1, 2, 0, 4, 2, 4, 2, 1, 1, 4, 1, 2, 0, 2, 2, 4, 1, 3, 2, 1, 2, 1, 2, 0, 1, 4, 3, 3, 0, 3, 4, 1, 2, 0, 4, 0, 1, 1, 1, 1, 2, 3, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 3, 1, 4, 0, 3, 2, 4, 0, 0, 0, 2, 1, 1, 3, 1, 2, 3, 0, 0, 0, 3, 3, 4, 0, 0, 1, 2, 2, 4, 2, 0, 1, 0, 4, 4, 3, 0, 2, 2, 2, 0, 1, 2, 3, 3, 3, 1, 0, 0, 0, 3, 2, 2, 1, 1, 3, 4, 0, 3, 4, 2, 4, 3, 2, 3, 2, 4, 1, 0, 3, 3, 0, 4, 3, 2, 3, 4, 1, 3, 1, 4, 4, 0, 0, 0, 3, 3, 0, 0, 4, 2, 0, 2, 4, 2, 2, 4, 3, 0, 3, 0, 3, 0, 2, 4, 3, 1, 3, 3, 1, 0, 1, 0, 3, 4, 4, 3, 3, 4, 1, 3, 1, 3, 1, 0, 2, 0, 1, 2, 0, 1, 4, 0, 0, 4, 1, 0, 0, 3, 3, 2, 4, 1, 2, 2, 1, 2, 0, 3, 1, 0, 1, 2, 1, 1, 4, 2, 1, 4, 1, 1, 4, 3, 0, 0, 1, 4, 3, 3, 2, 4, 4, 4, 0, 4, 0, 2, 0, 3, 3, 0, 1, 4, 0, 4, 1, 4, 4, 2, 0, 4, 1, 2, 0, 1, 3, 0, 2, 2, 2, 3, 4, 2, 4, 3, 2, 4, 2, 1, 2, 2, 0, 1, 1, 4, 2, 1, 1, 4, 4, 3, 3, 2, 4, 3, 1, 2, 2, 1, 0, 1, 4, 3, 2, 1, 4, 4, 1, 4, 3, 3, 1, 0, 3, 0, 4, 4, 1, 0, 1, 4, 4, 0, 4, 0, 1, 2, 4, 3, 4, 2, 3, 0, 0, 0, 2, 0, 3, 0, 0, 2, 4, 0, 2, 2, 2, 3, 0, 1, 0, 4, 4, 4, 1, 4, 4, 4, 1, 2, 0, 4, 0, 0, 2, 0, 2, 2, 0, 4, 3, 2] pubkeycol685 = [3, 1, 2, 4, 0, 4, 1, 3, 1, 1, 4, 1, 4, 4, 2, 2, 0, 2, 4, 3, 3, 3, 0, 3, 1, 2, 0, 2, 4, 4, 3, 3, 0, 2, 1, 4, 2, 3, 1, 2, 1, 0, 3, 0, 0, 1, 0, 1, 0, 4, 4, 0, 3, 3, 1, 1, 1, 2, 0, 2, 3, 4, 2, 3, 1, 4, 0, 1, 1, 3, 0, 0, 2, 2, 3, 2, 4, 2, 3, 1, 0, 1, 3, 1, 0, 2, 2, 1, 4, 4, 4, 3, 2, 3, 4, 0, 3, 3, 3, 4, 0, 4, 3, 0, 2, 2, 0, 3, 0, 1, 3, 4, 2, 1, 0, 0, 2, 2, 2, 1, 2, 4, 4, 4, 4, 4, 0, 2, 0, 0, 0, 1, 1, 3, 0, 3, 4, 0, 1, 1, 4, 4, 3, 4, 1, 2, 0, 3, 2, 4, 3, 1, 1, 4, 4, 1, 0, 2, 4, 0, 4, 2, 3, 2, 0, 1, 2, 3, 1, 1, 1, 3, 1, 1, 4, 3, 2, 1, 0, 1, 3, 4, 1, 0, 4, 0, 1, 3, 3, 3, 0, 0, 0, 2, 2, 1, 4, 3, 3, 3, 0, 1, 1, 1, 0, 4, 0, 2, 3, 0, 4, 1, 4, 2, 0, 1, 4, 4, 4, 2, 1, 2, 2, 1, 4, 0, 2, 0, 1, 3, 2, 0, 0, 2, 4, 4, 2, 4, 1, 3, 2, 1, 4, 3, 2, 4, 2, 4, 2, 3, 3, 3, 3, 3, 1, 4, 0, 2, 1, 4, 4, 4, 2, 2, 0, 3, 1, 3, 2, 0, 3, 4, 0, 4, 1, 0, 3, 3, 4, 4, 4, 2, 1, 1, 3, 0, 4, 0, 3, 1, 4, 0, 4, 4, 1, 3, 3, 2, 2, 4, 0, 3, 0, 4, 2, 3, 3, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 3, 0, 0, 0, 0, 1, 1, 2, 4, 1, 2, 2, 4, 0, 1, 0, 1, 3, 3, 1, 2, 3, 2, 3, 4, 0, 1, 4, 3, 2, 4, 0, 2, 2, 1, 2, 2, 4, 0, 4, 3, 2, 0, 3, 2, 0, 0, 2, 3, 4, 0, 1, 4, 1, 3, 0, 2, 3, 0, 1, 0, 1, 0, 2, 4, 0, 1, 0, 2, 2, 0, 2, 0, 4, 2, 0, 0, 4, 4, 1, 3, 4] pubkeycol686 = [2, 1, 4, 3, 2, 3, 4, 3, 2, 1, 4, 2, 1, 0, 1, 0, 1, 2, 4, 2, 3, 4, 2, 4, 0, 4, 4, 3, 2, 2, 1, 3, 1, 2, 0, 4, 4, 3, 0, 3, 0, 0, 1, 1, 1, 1, 3, 1, 3, 3, 2, 1, 0, 2, 1, 4, 3, 1, 2, 2, 1, 2, 2, 4, 4, 4, 0, 2, 2, 0, 1, 3, 3, 4, 0, 1, 1, 0, 2, 1, 0, 2, 3, 3, 3, 4, 3, 4, 4, 1, 2, 3, 1, 2, 1, 0, 3, 1, 3, 4, 0, 4, 3, 3, 2, 4, 1, 4, 1, 0, 0, 3, 1, 2, 4, 4, 0, 3, 4, 4, 3, 2, 2, 0, 4, 1, 4, 2, 2, 0, 1, 3, 1, 1, 0, 2, 0, 1, 3, 0, 3, 3, 0, 1, 0, 2, 2, 4, 4, 3, 2, 0, 1, 2, 0, 3, 3, 2, 2, 3, 0, 4, 0, 4, 3, 4, 2, 4, 2, 1, 2, 2, 0, 2, 4, 0, 0, 0, 1, 2, 2, 3, 4, 1, 3, 0, 1, 0, 0, 2, 1, 1, 4, 2, 1, 4, 1, 0, 1, 4, 4, 2, 0, 0, 4, 1, 0, 3, 3, 0, 1, 4, 0, 3, 3, 1, 0, 0, 0, 4, 0, 3, 2, 4, 3, 4, 1, 0, 2, 0, 3, 3, 0, 2, 2, 4, 4, 3, 2, 4, 3, 1, 4, 2, 0, 1, 0, 2, 4, 4, 2, 4, 2, 3, 3, 3, 2, 0, 0, 4, 1, 4, 1, 1, 1, 0, 4, 4, 0, 1, 3, 3, 2, 0, 4, 3, 0, 3, 4, 4, 0, 2, 3, 0, 2, 4, 2, 2, 0, 2, 2, 1, 0, 1, 1, 3, 3, 1, 0, 1, 0, 2, 1, 3, 0, 1, 0, 0, 2, 0, 1, 0, 4, 0, 2, 0, 2, 4, 1, 3, 4, 2, 4, 2, 3, 4, 2, 3, 4, 2, 1, 1, 4, 3, 2, 2, 0, 1, 1, 3, 0, 3, 1, 1, 2, 4, 4, 2, 1, 2, 1, 4, 2, 4, 3, 3, 0, 1, 0, 3, 3, 0, 2, 0, 2, 3, 0, 2, 4, 0, 1, 2, 0, 4, 3, 1, 4, 0, 3, 4, 0, 3, 1, 0, 4, 2, 2, 3, 0, 0, 2, 1, 0, 4, 0, 0, 4, 1, 4, 3] pubkeycol687 = [3, 1, 4, 4, 1, 4, 3, 3, 2, 1, 0, 2, 3, 4, 1, 4, 1, 0, 0, 0, 0, 2, 4, 3, 1, 4, 1, 4, 1, 4, 2, 1, 0, 2, 4, 1, 0, 0, 0, 3, 0, 3, 0, 1, 3, 1, 4, 3, 2, 4, 3, 4, 3, 1, 0, 4, 0, 3, 3, 4, 0, 1, 3, 2, 4, 4, 1, 3, 2, 2, 0, 0, 3, 0, 4, 2, 3, 1, 3, 4, 2, 4, 2, 0, 4, 1, 4, 3, 4, 1, 4, 3, 2, 0, 1, 0, 4, 2, 0, 0, 0, 3, 3, 0, 2, 1, 3, 1, 3, 4, 2, 2, 2, 0, 1, 3, 1, 4, 4, 2, 1, 1, 4, 0, 4, 0, 1, 2, 2, 1, 1, 0, 0, 1, 4, 0, 1, 1, 3, 2, 4, 4, 0, 4, 2, 3, 4, 4, 3, 4, 1, 0, 4, 1, 1, 1, 0, 3, 3, 4, 2, 2, 1, 1, 4, 3, 2, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 2, 0, 0, 4, 0, 0, 3, 0, 0, 3, 4, 3, 4, 0, 3, 2, 3, 2, 1, 1, 0, 0, 3, 2, 0, 1, 2, 3, 1, 3, 1, 0, 0, 1, 3, 0, 2, 1, 1, 4, 1, 1, 3, 0, 0, 2, 1, 0, 2, 0, 1, 4, 3, 4, 1, 1, 3, 4, 4, 1, 1, 0, 3, 2, 1, 1, 3, 4, 4, 0, 1, 4, 0, 3, 2, 2, 2, 0, 4, 3, 2, 4, 3, 4, 3, 1, 4, 0, 4, 3, 0, 3, 1, 2, 4, 2, 2, 3, 2, 2, 4, 1, 0, 0, 4, 2, 4, 3, 1, 1, 4, 0, 4, 1, 0, 4, 2, 3, 4, 3, 2, 3, 1, 0, 0, 0, 4, 4, 3, 0, 1, 2, 4, 0, 1, 4, 0, 3, 2, 1, 4, 3, 2, 3, 0, 4, 3, 1, 1, 3, 3, 3, 1, 3, 1, 3, 3, 4, 3, 4, 4, 1, 4, 3, 0, 4, 3, 3, 4, 3, 2, 4, 3, 1, 3, 1, 0, 3, 1, 4, 3, 0, 0, 3, 0, 4, 1, 3, 3, 3, 3, 3, 1, 2, 4, 1, 2, 1, 0, 0, 0, 0, 4, 2, 0, 2, 3, 2, 0, 0, 1, 0, 2, 4, 3, 3, 4, 2, 1, 4, 1, 3, 4] pubkeycol688 = [4, 0, 2, 0, 2, 0, 1, 0, 4, 2, 4, 4, 0, 3, 1, 3, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 3, 4, 3, 0, 3, 0, 1, 0, 4, 2, 4, 3, 0, 0, 3, 1, 1, 1, 3, 2, 0, 0, 1, 4, 0, 3, 0, 4, 2, 0, 0, 4, 4, 1, 3, 1, 2, 3, 3, 3, 1, 2, 0, 2, 0, 4, 2, 3, 0, 1, 3, 4, 3, 0, 2, 3, 2, 3, 0, 3, 0, 1, 2, 2, 0, 4, 4, 3, 2, 3, 2, 0, 1, 0, 3, 4, 4, 4, 0, 3, 0, 4, 0, 2, 1, 0, 4, 2, 3, 0, 3, 3, 1, 4, 4, 3, 1, 3, 2, 4, 2, 3, 2, 4, 2, 3, 0, 2, 4, 0, 3, 4, 2, 2, 1, 2, 2, 0, 0, 3, 3, 2, 3, 2, 0, 2, 4, 3, 2, 4, 0, 1, 4, 0, 1, 3, 3, 2, 3, 3, 4, 2, 2, 4, 2, 1, 2, 3, 4, 2, 1, 2, 2, 0, 3, 1, 1, 3, 3, 3, 0, 2, 4, 0, 4, 3, 3, 4, 3, 3, 3, 0, 3, 1, 2, 1, 3, 1, 1, 1, 2, 3, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 4, 1, 4, 0, 0, 2, 0, 2, 2, 1, 3, 0, 4, 1, 2, 3, 2, 0, 4, 3, 0, 0, 0, 4, 3, 4, 4, 1, 4, 3, 1, 0, 4, 0, 1, 4, 0, 4, 1, 1, 3, 4, 0, 1, 4, 1, 4, 2, 3, 3, 0, 0, 0, 3, 3, 4, 2, 3, 0, 0, 1, 2, 1, 4, 4, 3, 4, 4, 0, 1, 3, 0, 0, 0, 2, 0, 3, 4, 0, 2, 0, 2, 4, 0, 2, 1, 4, 2, 3, 2, 4, 4, 0, 0, 2, 0, 3, 4, 0, 1, 4, 2, 2, 4, 2, 1, 0, 1, 4, 3, 0, 3, 2, 0, 1, 4, 1, 0, 2, 2, 1, 1, 1, 2, 2, 4, 0, 2, 0, 2, 1, 3, 2, 4, 0, 1, 2, 3, 4, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 0, 1, 2, 2, 3, 4, 4, 4, 3, 2, 2, 4, 2, 2, 4, 2, 2, 1, 2, 4, 1, 3, 4, 1, 3] pubkeycol689 = [2, 0, 2, 3, 2, 1, 3, 1, 0, 2, 0, 0, 4, 4, 3, 1, 3, 1, 0, 1, 2, 2, 4, 4, 2, 2, 3, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 4, 3, 2, 1, 1, 2, 1, 2, 1, 3, 3, 1, 0, 0, 0, 1, 2, 3, 2, 4, 4, 3, 4, 4, 2, 3, 2, 0, 1, 3, 2, 0, 3, 0, 3, 3, 3, 0, 0, 0, 2, 3, 1, 2, 2, 4, 1, 1, 1, 4, 0, 3, 2, 4, 3, 2, 3, 0, 4, 3, 0, 1, 0, 4, 0, 0, 1, 4, 1, 4, 2, 2, 4, 2, 2, 3, 1, 4, 1, 1, 4, 4, 1, 1, 2, 0, 0, 1, 3, 1, 3, 4, 4, 1, 0, 4, 1, 1, 0, 3, 1, 1, 0, 2, 0, 4, 3, 3, 1, 2, 2, 0, 2, 3, 3, 1, 1, 3, 4, 2, 4, 2, 4, 1, 0, 3, 0, 4, 0, 2, 0, 2, 0, 1, 4, 2, 4, 0, 1, 4, 2, 4, 4, 3, 4, 4, 3, 2, 0, 4, 2, 3, 4, 2, 2, 0, 3, 1, 1, 4, 2, 3, 3, 4, 3, 3, 0, 2, 4, 4, 3, 4, 1, 4, 2, 2, 0, 0, 3, 1, 4, 3, 4, 3, 1, 0, 0, 1, 2, 1, 0, 3, 2, 3, 3, 2, 2, 1, 1, 4, 4, 0, 4, 0, 2, 3, 2, 1, 4, 2, 3, 3, 3, 0, 2, 3, 4, 4, 1, 4, 0, 3, 4, 3, 4, 4, 0, 4, 0, 2, 0, 1, 3, 3, 1, 1, 1, 1, 3, 0, 4, 4, 3, 2, 3, 3, 1, 0, 0, 0, 3, 1, 0, 1, 4, 0, 2, 1, 3, 1, 1, 3, 3, 4, 3, 3, 3, 0, 1, 2, 2, 4, 2, 1, 4, 3, 0, 4, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 3, 2, 0, 2, 3, 2, 3, 2, 3, 3, 3, 1, 4, 4, 2, 1, 0, 4, 0, 0, 1, 4, 0, 0, 2, 4, 3, 0, 0, 4, 4, 2, 0, 3, 3, 1, 3, 0, 4, 1, 3, 3, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 4, 1, 0, 3, 2, 2, 3, 1, 4, 3, 1, 4, 0, 4, 4, 2, 0, 1, 0, 0, 2] pubkeycol690 = [2, 2, 0, 1, 1, 1, 2, 3, 0, 4, 1, 2, 3, 4, 4, 0, 2, 0, 0, 2, 0, 2, 4, 0, 3, 2, 3, 0, 2, 1, 4, 4, 3, 2, 3, 1, 0, 0, 2, 4, 0, 2, 1, 2, 4, 0, 4, 0, 4, 2, 2, 4, 4, 1, 1, 1, 2, 4, 2, 3, 0, 4, 3, 0, 4, 2, 2, 3, 4, 4, 1, 1, 0, 3, 4, 3, 0, 2, 2, 2, 0, 4, 4, 4, 3, 0, 4, 3, 0, 1, 1, 2, 2, 2, 4, 0, 4, 1, 1, 3, 1, 4, 3, 1, 0, 0, 3, 0, 2, 4, 3, 0, 2, 1, 3, 3, 3, 3, 0, 2, 2, 4, 3, 0, 0, 2, 4, 0, 1, 2, 2, 2, 3, 4, 3, 1, 3, 2, 4, 0, 3, 3, 1, 0, 4, 3, 3, 2, 2, 4, 0, 4, 0, 3, 0, 2, 1, 1, 2, 2, 2, 4, 2, 1, 2, 2, 1, 1, 4, 0, 3, 2, 1, 4, 3, 2, 4, 1, 0, 3, 1, 4, 1, 0, 3, 1, 2, 4, 3, 3, 2, 0, 1, 4, 0, 4, 4, 4, 1, 2, 0, 0, 2, 2, 4, 2, 2, 3, 4, 2, 4, 4, 2, 0, 1, 0, 4, 0, 1, 1, 3, 3, 4, 4, 2, 4, 1, 3, 1, 3, 0, 0, 3, 3, 4, 4, 1, 2, 2, 0, 4, 2, 1, 4, 2, 1, 0, 0, 1, 0, 0, 3, 1, 2, 0, 4, 4, 0, 0, 0, 2, 2, 0, 1, 4, 1, 2, 0, 3, 3, 0, 2, 1, 4, 2, 2, 3, 4, 3, 1, 3, 0, 4, 2, 1, 3, 3, 1, 2, 3, 3, 3, 4, 0, 1, 3, 1, 2, 4, 0, 4, 1, 1, 1, 1, 3, 4, 3, 3, 3, 3, 1, 0, 4, 2, 4, 4, 3, 3, 3, 3, 1, 4, 2, 4, 4, 2, 2, 3, 1, 2, 1, 2, 3, 4, 3, 3, 3, 1, 1, 4, 4, 1, 4, 3, 4, 1, 3, 1, 1, 4, 3, 0, 3, 3, 1, 1, 1, 1, 4, 2, 3, 4, 2, 4, 3, 1, 1, 3, 0, 1, 3, 3, 3, 4, 0, 0, 1, 3, 4, 2, 2, 1, 0, 3, 1, 4, 4, 1, 2, 0, 4, 3, 3, 0, 4, 1, 4, 1, 0] pubkeycol691 = [4, 2, 4, 0, 3, 1, 1, 3, 2, 3, 3, 2, 4, 2, 1, 3, 3, 0, 1, 0, 0, 1, 1, 0, 2, 1, 3, 2, 3, 4, 3, 2, 4, 1, 1, 2, 0, 3, 4, 4, 2, 2, 2, 4, 0, 3, 0, 3, 4, 0, 1, 3, 4, 3, 3, 4, 2, 2, 4, 3, 4, 2, 2, 0, 3, 3, 3, 1, 1, 2, 4, 0, 2, 0, 2, 2, 3, 4, 4, 1, 2, 2, 0, 3, 0, 4, 3, 3, 2, 4, 3, 0, 2, 0, 2, 3, 3, 0, 1, 3, 0, 0, 0, 4, 4, 0, 2, 0, 4, 2, 0, 1, 2, 4, 2, 4, 0, 2, 2, 1, 3, 4, 2, 2, 2, 4, 4, 2, 0, 1, 2, 1, 4, 1, 4, 1, 0, 3, 1, 3, 1, 4, 0, 0, 2, 1, 0, 1, 1, 3, 4, 3, 0, 0, 0, 1, 2, 4, 2, 1, 2, 2, 1, 4, 2, 3, 3, 4, 3, 3, 0, 1, 0, 0, 4, 1, 0, 1, 1, 1, 3, 3, 4, 3, 4, 1, 2, 3, 4, 1, 2, 0, 1, 3, 3, 2, 0, 0, 3, 0, 4, 3, 1, 2, 2, 2, 1, 0, 0, 3, 4, 3, 4, 4, 4, 4, 3, 4, 1, 3, 4, 3, 0, 1, 3, 4, 3, 1, 0, 2, 3, 4, 3, 1, 4, 0, 0, 1, 0, 3, 2, 2, 4, 4, 4, 1, 4, 1, 4, 4, 4, 3, 2, 3, 3, 2, 1, 2, 0, 2, 4, 3, 2, 2, 0, 3, 4, 0, 4, 3, 3, 0, 3, 3, 1, 2, 4, 4, 4, 4, 3, 0, 3, 2, 3, 1, 2, 2, 1, 0, 1, 4, 3, 4, 2, 2, 4, 3, 0, 4, 1, 4, 0, 3, 2, 2, 2, 0, 3, 4, 1, 4, 4, 4, 2, 4, 3, 0, 1, 3, 0, 2, 3, 0, 0, 4, 1, 0, 2, 0, 2, 3, 3, 3, 2, 4, 1, 1, 4, 0, 0, 2, 2, 4, 0, 3, 2, 1, 2, 0, 2, 4, 2, 3, 2, 0, 2, 1, 0, 0, 3, 1, 3, 0, 1, 3, 3, 3, 2, 1, 3, 2, 4, 3, 1, 4, 0, 3, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 3, 1, 0, 4, 0, 4, 2, 3, 2] pubkeycol692 = [0, 2, 0, 0, 4, 4, 1, 0, 1, 3, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 4, 1, 3, 3, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 3, 4, 0, 0, 3, 0, 1, 2, 0, 4, 0, 2, 1, 4, 4, 1, 0, 2, 1, 3, 1, 4, 3, 1, 2, 1, 0, 3, 3, 1, 4, 0, 4, 1, 4, 1, 1, 0, 2, 3, 3, 1, 3, 3, 2, 0, 1, 4, 2, 4, 3, 3, 2, 1, 1, 0, 0, 4, 2, 0, 2, 3, 1, 3, 0, 2, 2, 3, 0, 3, 3, 0, 1, 2, 2, 4, 2, 0, 1, 0, 0, 4, 4, 1, 1, 4, 1, 2, 3, 1, 3, 3, 0, 0, 1, 2, 4, 1, 1, 0, 4, 2, 2, 1, 3, 2, 2, 4, 4, 3, 2, 4, 0, 0, 4, 3, 0, 0, 3, 2, 4, 2, 3, 1, 3, 4, 0, 0, 1, 0, 1, 1, 3, 2, 3, 2, 2, 2, 2, 2, 0, 1, 1, 4, 0, 0, 3, 3, 0, 3, 1, 1, 4, 2, 4, 1, 0, 3, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 4, 2, 4, 4, 2, 0, 2, 1, 3, 1, 3, 3, 2, 2, 3, 4, 1, 3, 3, 2, 2, 0, 2, 1, 2, 4, 4, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 3, 3, 4, 1, 0, 4, 3, 2, 2, 2, 4, 3, 1, 4, 2, 0, 0, 4, 2, 4, 1, 1, 3, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 4, 1, 2, 4, 3, 4, 2, 4, 1, 3, 0, 4, 1, 1, 0, 3, 1, 0, 3, 2, 2, 3, 2, 4, 0, 1, 2, 3, 2, 1, 0, 4, 0, 2, 1, 3, 2, 4, 4, 2, 4, 0, 3, 0, 3, 0, 0, 1, 3, 4, 0, 4, 0, 0, 0, 1, 4, 3, 0, 3, 2, 3, 1, 4, 2, 1, 1, 3, 1, 0, 1, 2, 1, 1, 4, 2, 4, 4, 1, 1, 4, 1, 2, 3, 1, 4, 1, 0, 0, 3, 1, 4, 0, 3, 3, 4, 4, 4, 1, 0, 0, 3, 4, 4, 2, 2, 4, 2, 4, 2, 3, 0, 4, 2, 1, 3, 4, 1, 3, 4, 2, 0, 2] pubkeycol693 = [2, 0, 2, 1, 3, 2, 4, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 4, 0, 2, 4, 1, 0, 0, 1, 2, 0, 4, 0, 2, 3, 2, 0, 1, 1, 2, 1, 3, 2, 4, 0, 1, 0, 4, 2, 2, 4, 2, 2, 1, 0, 4, 4, 4, 2, 4, 4, 2, 4, 4, 1, 0, 3, 1, 2, 3, 2, 1, 4, 4, 4, 0, 2, 0, 2, 4, 2, 0, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 0, 4, 1, 2, 4, 3, 3, 2, 3, 1, 4, 3, 1, 0, 3, 0, 3, 0, 1, 3, 0, 4, 1, 1, 2, 2, 4, 0, 1, 0, 4, 3, 1, 2, 3, 4, 1, 0, 3, 4, 4, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 1, 4, 4, 0, 1, 3, 0, 4, 1, 1, 3, 1, 3, 4, 1, 4, 3, 4, 0, 0, 1, 2, 4, 4, 3, 0, 0, 0, 3, 1, 0, 3, 2, 2, 1, 2, 0, 3, 2, 1, 4, 0, 3, 2, 0, 3, 1, 2, 1, 3, 2, 3, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 4, 0, 3, 2, 3, 4, 2, 2, 1, 3, 2, 3, 3, 0, 0, 2, 0, 2, 4, 0, 2, 1, 3, 3, 3, 1, 1, 1, 3, 1, 2, 2, 0, 4, 4, 0, 2, 3, 3, 2, 4, 4, 4, 4, 4, 0, 0, 2, 3, 2, 2, 0, 2, 2, 2, 4, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 4, 0, 1, 2, 2, 1, 4, 0, 4, 0, 1, 0, 0, 2, 2, 1, 1, 4, 1, 2, 2, 1, 4, 4, 2, 2, 0, 4, 2, 3, 0, 4, 2, 0, 0, 3, 2, 4, 4, 3, 0, 4, 1, 2, 1, 4, 1, 4, 0, 2, 3, 3, 4, 3, 4, 1, 4, 4, 2, 3, 0, 1, 0, 3, 4, 0, 2, 4, 2, 3, 1, 4, 1, 3, 3, 0, 2, 3, 1, 1, 4, 4, 2, 3, 3, 4, 2, 3, 3, 0, 2, 2, 4, 0, 3, 3, 0, 4, 0, 1, 0, 3, 4, 0, 3, 3, 1, 3, 0, 1, 4, 0, 0, 2, 3, 0, 3, 2, 3, 3, 3, 2, 2, 3, 2, 4, 3, 0, 0, 1] pubkeycol694 = [0, 3, 3, 3, 0, 0, 4, 2, 2, 4, 2, 2, 3, 1, 4, 3, 2, 1, 1, 1, 2, 2, 4, 0, 0, 0, 4, 0, 1, 2, 4, 2, 4, 4, 4, 3, 0, 4, 2, 3, 1, 0, 0, 0, 0, 2, 4, 4, 2, 4, 4, 3, 1, 3, 0, 1, 3, 2, 4, 1, 2, 4, 4, 0, 1, 4, 3, 3, 3, 0, 4, 1, 2, 0, 0, 2, 2, 4, 4, 4, 4, 0, 3, 4, 4, 1, 1, 1, 4, 4, 0, 4, 3, 2, 3, 2, 0, 4, 3, 3, 3, 4, 2, 4, 3, 1, 1, 0, 4, 0, 0, 2, 1, 3, 2, 4, 4, 3, 3, 3, 4, 0, 1, 3, 1, 3, 1, 1, 4, 1, 4, 2, 0, 4, 2, 0, 4, 2, 3, 0, 4, 3, 3, 4, 4, 4, 1, 1, 2, 1, 4, 2, 1, 3, 4, 0, 4, 3, 2, 1, 4, 4, 3, 0, 3, 3, 2, 0, 3, 3, 4, 0, 3, 2, 2, 2, 3, 0, 3, 4, 2, 2, 3, 4, 0, 1, 3, 1, 4, 3, 2, 3, 1, 0, 0, 0, 2, 2, 2, 0, 4, 4, 4, 0, 2, 2, 0, 0, 1, 0, 1, 3, 0, 1, 4, 0, 3, 1, 4, 0, 4, 3, 0, 1, 0, 3, 2, 1, 1, 0, 2, 1, 0, 1, 4, 1, 4, 4, 0, 4, 2, 1, 0, 4, 2, 0, 1, 2, 3, 1, 0, 1, 4, 3, 1, 4, 3, 2, 2, 3, 0, 1, 3, 1, 2, 1, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 0, 2, 2, 3, 1, 1, 3, 2, 0, 1, 3, 0, 0, 4, 4, 0, 1, 4, 0, 4, 3, 2, 4, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 3, 3, 1, 1, 1, 0, 1, 3, 2, 2, 1, 1, 4, 4, 1, 0, 0, 3, 3, 0, 3, 3, 3, 0, 0, 2, 0, 0, 4, 3, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 4, 1, 4, 0, 2, 3, 3, 1, 0, 1, 3, 1, 0, 0, 0, 2, 3, 0, 3, 1, 3, 4, 3, 4, 0, 1, 1, 2, 4, 2, 0, 4, 1, 1, 4, 4, 1, 4, 3, 2, 0, 3, 3, 3, 2, 0, 1, 0, 1, 1] pubkeycol695 = [3, 3, 3, 3, 1, 1, 2, 0, 0, 0, 0, 2, 3, 0, 1, 3, 2, 3, 4, 2, 4, 4, 0, 1, 2, 0, 3, 1, 0, 1, 1, 4, 1, 2, 2, 4, 1, 0, 3, 4, 3, 1, 4, 2, 2, 4, 1, 0, 0, 1, 2, 1, 1, 3, 2, 0, 4, 2, 1, 4, 1, 4, 2, 4, 0, 4, 2, 2, 4, 3, 4, 0, 1, 3, 4, 1, 2, 1, 0, 1, 0, 3, 4, 4, 0, 2, 4, 3, 2, 3, 1, 3, 2, 0, 3, 3, 2, 3, 4, 1, 0, 4, 3, 3, 2, 0, 1, 1, 0, 1, 4, 3, 3, 4, 0, 4, 2, 0, 3, 3, 3, 3, 4, 1, 0, 1, 3, 4, 1, 1, 0, 2, 2, 0, 4, 2, 1, 4, 3, 4, 1, 2, 1, 2, 4, 0, 3, 4, 1, 2, 1, 4, 1, 4, 4, 3, 4, 4, 1, 0, 4, 3, 2, 1, 1, 1, 4, 2, 3, 1, 1, 4, 1, 0, 2, 1, 3, 0, 4, 2, 1, 0, 0, 1, 1, 4, 1, 4, 3, 3, 1, 0, 0, 0, 0, 2, 0, 0, 4, 0, 1, 1, 4, 2, 1, 4, 2, 1, 2, 3, 1, 1, 1, 1, 0, 3, 2, 1, 1, 3, 2, 2, 1, 0, 3, 4, 1, 2, 1, 2, 0, 0, 3, 4, 3, 4, 4, 1, 2, 0, 4, 1, 4, 0, 4, 1, 3, 4, 3, 2, 3, 3, 3, 0, 4, 2, 4, 1, 3, 4, 3, 0, 1, 2, 0, 2, 1, 1, 2, 1, 4, 1, 2, 0, 2, 3, 3, 1, 1, 3, 1, 0, 2, 1, 0, 2, 3, 0, 3, 3, 3, 1, 4, 4, 1, 3, 3, 1, 3, 4, 2, 2, 1, 1, 3, 2, 3, 2, 0, 0, 1, 1, 2, 2, 4, 0, 2, 2, 3, 1, 4, 4, 2, 4, 0, 3, 1, 4, 1, 1, 0, 2, 1, 3, 0, 1, 1, 2, 1, 1, 0, 2, 4, 4, 2, 2, 0, 1, 1, 1, 2, 3, 3, 4, 3, 2, 4, 4, 4, 0, 0, 4, 3, 4, 4, 1, 4, 4, 0, 1, 0, 4, 3, 1, 1, 3, 2, 4, 0, 1, 3, 2, 3, 1, 0, 2, 4, 1, 3, 1, 2, 1, 3, 2, 1, 2, 4, 3, 1, 4] pubkeycol696 = [0, 2, 2, 2, 3, 2, 3, 3, 1, 4, 2, 4, 2, 3, 0, 1, 1, 1, 0, 0, 3, 3, 0, 1, 1, 3, 2, 4, 3, 2, 0, 0, 0, 3, 4, 2, 0, 2, 2, 3, 0, 3, 4, 0, 0, 3, 4, 1, 1, 2, 2, 2, 0, 2, 3, 2, 0, 4, 4, 2, 1, 3, 1, 3, 3, 1, 4, 0, 4, 1, 3, 2, 2, 1, 3, 4, 1, 4, 2, 1, 3, 1, 4, 1, 3, 4, 1, 0, 4, 4, 0, 3, 3, 0, 2, 4, 4, 4, 0, 0, 1, 0, 1, 3, 4, 3, 0, 4, 0, 1, 0, 0, 3, 2, 1, 0, 2, 4, 0, 4, 0, 1, 0, 2, 1, 1, 0, 4, 3, 4, 1, 3, 4, 2, 2, 0, 2, 3, 0, 0, 0, 4, 4, 2, 0, 2, 4, 1, 3, 2, 0, 4, 3, 0, 4, 1, 4, 1, 3, 4, 1, 4, 3, 3, 4, 4, 2, 3, 3, 0, 3, 3, 4, 4, 2, 2, 4, 0, 0, 1, 2, 4, 2, 1, 3, 0, 0, 0, 0, 3, 4, 4, 3, 2, 4, 4, 0, 3, 0, 0, 1, 2, 1, 3, 4, 2, 3, 3, 3, 4, 0, 4, 1, 3, 2, 1, 2, 2, 1, 3, 4, 0, 0, 4, 2, 3, 1, 0, 2, 4, 0, 3, 0, 2, 0, 4, 3, 4, 2, 2, 3, 3, 4, 1, 4, 0, 2, 2, 0, 1, 3, 4, 4, 3, 0, 3, 4, 4, 4, 1, 2, 0, 2, 2, 1, 4, 3, 3, 0, 3, 3, 2, 4, 1, 3, 0, 4, 0, 0, 2, 3, 4, 4, 2, 2, 2, 0, 2, 0, 2, 0, 2, 3, 0, 4, 4, 1, 4, 2, 4, 0, 0, 2, 0, 1, 3, 3, 3, 2, 4, 1, 4, 2, 2, 1, 4, 1, 1, 1, 3, 4, 0, 3, 0, 4, 3, 1, 2, 3, 1, 0, 3, 2, 4, 4, 1, 1, 2, 0, 2, 1, 4, 1, 3, 2, 3, 1, 3, 3, 0, 1, 0, 0, 1, 1, 3, 2, 0, 0, 2, 3, 1, 1, 0, 4, 2, 3, 2, 0, 2, 0, 4, 2, 4, 2, 0, 4, 1, 0, 1, 2, 3, 1, 4, 4, 0, 1, 3, 3, 2, 2, 0, 3, 3, 3, 2, 0, 3, 0, 0] pubkeycol697 = [0, 0, 0, 3, 3, 3, 0, 0, 1, 0, 0, 2, 4, 1, 3, 0, 2, 3, 3, 3, 0, 3, 3, 3, 4, 0, 1, 2, 4, 1, 4, 1, 0, 2, 3, 4, 3, 1, 0, 2, 2, 4, 3, 1, 3, 2, 0, 0, 1, 4, 3, 0, 3, 2, 4, 2, 1, 0, 4, 3, 0, 1, 4, 4, 0, 1, 1, 4, 2, 0, 0, 4, 4, 2, 2, 2, 1, 4, 2, 0, 1, 3, 1, 3, 2, 0, 1, 3, 3, 3, 2, 0, 4, 1, 1, 2, 4, 2, 3, 1, 3, 0, 3, 0, 4, 2, 2, 2, 4, 3, 1, 2, 4, 1, 0, 3, 0, 1, 4, 4, 2, 3, 3, 0, 3, 2, 3, 2, 1, 0, 1, 3, 1, 4, 4, 4, 0, 0, 2, 3, 4, 3, 2, 0, 2, 0, 1, 0, 1, 0, 1, 3, 3, 4, 1, 2, 3, 4, 0, 2, 1, 1, 4, 1, 1, 4, 0, 1, 4, 2, 4, 3, 3, 1, 0, 3, 3, 1, 4, 3, 0, 1, 1, 4, 4, 2, 4, 1, 2, 3, 4, 2, 0, 0, 2, 4, 4, 3, 3, 4, 0, 2, 4, 0, 0, 4, 4, 1, 3, 4, 4, 1, 1, 3, 1, 1, 0, 1, 0, 4, 4, 0, 2, 3, 3, 0, 4, 3, 0, 3, 0, 3, 1, 1, 0, 1, 1, 3, 1, 0, 0, 1, 1, 3, 2, 4, 0, 4, 0, 3, 4, 0, 3, 1, 1, 1, 2, 0, 1, 0, 4, 2, 2, 2, 4, 1, 4, 2, 4, 1, 2, 1, 0, 4, 0, 2, 4, 1, 3, 4, 4, 1, 3, 0, 1, 1, 2, 4, 3, 0, 1, 2, 1, 4, 2, 3, 2, 1, 0, 1, 4, 3, 4, 2, 0, 4, 4, 4, 3, 4, 3, 0, 1, 0, 1, 3, 4, 4, 0, 4, 0, 3, 2, 4, 1, 2, 4, 1, 3, 0, 2, 1, 4, 0, 1, 4, 0, 0, 4, 0, 3, 0, 0, 3, 1, 2, 1, 1, 0, 4, 2, 1, 2, 0, 3, 3, 3, 3, 3, 1, 4, 3, 1, 0, 3, 4, 2, 3, 4, 2, 1, 0, 3, 0, 1, 1, 1, 0, 3, 4, 4, 3, 2, 4, 4, 3, 2, 2, 1, 2, 4, 3, 2, 4, 0, 3, 1, 1, 3, 0] pubkeycol698 = [2, 4, 1, 4, 1, 3, 4, 2, 2, 3, 4, 2, 0, 0, 4, 4, 1, 2, 1, 4, 1, 3, 0, 4, 1, 1, 3, 3, 0, 0, 2, 2, 0, 0, 0, 3, 3, 4, 4, 3, 1, 3, 3, 3, 3, 0, 1, 3, 2, 2, 2, 4, 1, 4, 1, 1, 0, 2, 0, 1, 3, 1, 3, 0, 2, 0, 1, 4, 0, 2, 2, 4, 2, 3, 3, 2, 4, 4, 4, 0, 4, 0, 4, 4, 3, 4, 3, 0, 3, 2, 2, 3, 2, 3, 2, 1, 4, 4, 0, 4, 4, 1, 4, 4, 1, 1, 0, 1, 1, 1, 2, 2, 3, 1, 2, 3, 4, 1, 3, 1, 1, 4, 2, 3, 4, 4, 0, 2, 4, 1, 3, 4, 0, 0, 0, 4, 2, 1, 3, 4, 4, 1, 1, 0, 4, 1, 1, 0, 3, 2, 1, 4, 2, 4, 3, 2, 0, 1, 3, 3, 1, 0, 2, 4, 2, 1, 3, 4, 2, 2, 2, 1, 2, 0, 4, 4, 4, 0, 4, 3, 0, 3, 1, 1, 1, 2, 4, 2, 2, 4, 3, 4, 0, 2, 4, 1, 3, 2, 1, 1, 4, 2, 3, 0, 2, 0, 1, 2, 2, 0, 0, 4, 1, 3, 3, 4, 0, 2, 3, 2, 3, 1, 0, 0, 4, 2, 4, 1, 3, 3, 1, 2, 0, 3, 2, 0, 0, 1, 0, 0, 1, 3, 4, 0, 4, 3, 4, 2, 0, 4, 2, 1, 2, 0, 1, 0, 1, 3, 1, 2, 3, 2, 0, 4, 0, 2, 3, 0, 3, 4, 1, 3, 0, 2, 4, 1, 4, 4, 1, 3, 2, 1, 4, 4, 2, 3, 4, 4, 4, 4, 0, 1, 0, 2, 2, 1, 4, 0, 0, 0, 3, 4, 0, 3, 3, 4, 2, 4, 1, 1, 0, 3, 1, 1, 2, 4, 1, 0, 3, 0, 2, 3, 4, 4, 1, 0, 0, 0, 3, 2, 4, 0, 3, 2, 1, 2, 3, 3, 0, 1, 2, 0, 0, 0, 4, 3, 2, 4, 1, 2, 0, 1, 4, 0, 0, 0, 0, 2, 3, 0, 1, 2, 3, 1, 0, 1, 3, 2, 0, 4, 4, 0, 3, 1, 0, 1, 0, 4, 1, 4, 0, 0, 0, 3, 1, 3, 3, 1, 4, 0, 2, 3, 1, 1, 4, 2, 0, 4, 4, 0] pubkeycol699 = [4, 1, 4, 1, 1, 4, 1, 0, 0, 4, 4, 0, 1, 3, 2, 3, 0, 0, 0, 3, 3, 0, 4, 3, 3, 2, 2, 4, 1, 0, 3, 4, 4, 4, 0, 4, 4, 3, 1, 3, 1, 4, 4, 1, 4, 2, 2, 1, 1, 0, 3, 4, 4, 3, 0, 4, 0, 4, 2, 2, 3, 2, 0, 3, 2, 1, 1, 4, 4, 0, 0, 0, 3, 3, 2, 2, 4, 0, 2, 1, 3, 1, 2, 4, 1, 1, 2, 1, 3, 4, 4, 1, 4, 3, 2, 1, 4, 1, 1, 4, 2, 0, 1, 0, 1, 1, 1, 0, 1, 4, 2, 2, 3, 4, 4, 3, 4, 1, 3, 4, 3, 0, 2, 2, 3, 3, 4, 4, 4, 4, 2, 0, 3, 2, 2, 3, 1, 4, 3, 0, 1, 2, 4, 4, 1, 0, 2, 1, 1, 2, 1, 3, 2, 3, 0, 2, 2, 4, 2, 1, 0, 2, 0, 4, 1, 3, 3, 4, 2, 2, 4, 1, 2, 2, 4, 1, 0, 2, 2, 3, 0, 1, 4, 2, 1, 1, 2, 2, 1, 1, 3, 1, 0, 1, 4, 4, 1, 0, 2, 1, 3, 2, 1, 1, 2, 3, 3, 3, 4, 1, 4, 0, 3, 2, 3, 4, 4, 0, 2, 2, 0, 4, 4, 2, 2, 1, 2, 1, 1, 0, 0, 1, 4, 0, 2, 3, 1, 2, 4, 3, 3, 2, 2, 1, 1, 4, 0, 3, 1, 0, 3, 0, 3, 3, 4, 2, 2, 1, 1, 3, 0, 2, 3, 4, 0, 2, 1, 1, 1, 1, 3, 0, 0, 1, 1, 1, 4, 4, 0, 4, 0, 2, 0, 0, 2, 4, 4, 1, 3, 1, 2, 4, 2, 3, 0, 0, 3, 4, 1, 3, 4, 4, 1, 4, 2, 0, 0, 0, 0, 0, 3, 0, 3, 1, 2, 1, 0, 4, 2, 2, 4, 4, 0, 1, 0, 1, 4, 4, 3, 2, 2, 1, 1, 0, 4, 4, 3, 3, 3, 2, 2, 1, 1, 4, 3, 0, 2, 2, 3, 1, 4, 3, 2, 2, 3, 0, 1, 4, 1, 0, 2, 4, 1, 3, 1, 3, 2, 4, 0, 4, 3, 4, 1, 4, 3, 3, 0, 4, 2, 4, 0, 1, 1, 4, 3, 0, 0, 0, 1, 0, 1, 1, 4, 1, 3, 2, 2, 3, 1, 2] pubkeycol700 = [4, 2, 0, 3, 0, 1, 3, 4, 4, 1, 3, 3, 3, 1, 2, 4, 0, 3, 4, 3, 0, 4, 0, 2, 3, 3, 1, 3, 2, 3, 4, 4, 2, 1, 1, 0, 2, 0, 4, 0, 3, 4, 4, 0, 3, 4, 3, 2, 4, 4, 4, 1, 4, 2, 4, 4, 3, 2, 3, 3, 4, 4, 4, 2, 0, 2, 1, 1, 2, 1, 3, 4, 3, 0, 2, 1, 4, 3, 2, 1, 4, 4, 1, 0, 3, 0, 4, 1, 2, 2, 1, 1, 4, 3, 2, 0, 3, 0, 0, 2, 1, 2, 3, 4, 3, 4, 1, 1, 2, 4, 2, 1, 3, 0, 3, 2, 2, 3, 3, 0, 4, 2, 3, 3, 2, 1, 4, 1, 4, 3, 4, 4, 4, 0, 4, 4, 1, 3, 4, 3, 4, 2, 1, 0, 3, 2, 1, 1, 3, 1, 0, 2, 4, 3, 3, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 3, 1, 2, 2, 2, 3, 2, 2, 3, 3, 4, 3, 4, 3, 3, 0, 1, 2, 0, 2, 3, 0, 4, 0, 1, 4, 2, 2, 0, 3, 3, 3, 0, 0, 4, 3, 1, 1, 2, 1, 4, 4, 0, 1, 2, 0, 3, 4, 4, 1, 0, 1, 2, 4, 1, 0, 0, 0, 1, 2, 4, 2, 1, 2, 2, 0, 0, 1, 1, 4, 2, 1, 2, 3, 4, 4, 4, 1, 2, 2, 2, 2, 0, 1, 3, 4, 4, 1, 2, 0, 4, 0, 2, 0, 2, 0, 0, 2, 2, 1, 4, 4, 3, 0, 0, 3, 1, 3, 1, 2, 3, 0, 2, 1, 3, 1, 4, 1, 1, 1, 4, 0, 4, 4, 3, 1, 0, 0, 4, 1, 3, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 3, 2, 2, 1, 3, 0, 0, 1, 0, 1, 2, 2, 3, 1, 4, 4, 2, 1, 0, 0, 1, 0, 2, 4, 1, 1, 2, 4, 0, 1, 4, 1, 4, 0, 1, 4, 3, 4, 2, 3, 3, 2, 1, 0, 2, 1, 1, 3, 0, 0, 1, 0, 1, 1, 1, 2, 4, 2, 3, 4, 0, 3, 0, 3, 4, 2, 4, 4, 2, 2, 4, 0, 3, 0, 2, 4, 4, 4, 4, 2, 2, 1, 2, 1, 0, 0, 1, 3, 4, 0, 4] pubkeycol701 = [0, 3, 0, 3, 0, 4, 2, 2, 4, 1, 0, 4, 4, 4, 1, 1, 4, 2, 2, 4, 4, 4, 3, 1, 0, 2, 3, 1, 1, 2, 2, 3, 3, 4, 3, 4, 2, 3, 2, 3, 3, 4, 2, 2, 4, 4, 2, 0, 3, 3, 3, 4, 0, 4, 0, 2, 3, 4, 1, 0, 4, 0, 3, 2, 0, 2, 3, 4, 2, 2, 2, 3, 3, 4, 3, 4, 4, 2, 2, 2, 0, 3, 2, 3, 4, 2, 2, 1, 0, 3, 4, 0, 3, 1, 0, 2, 1, 3, 0, 1, 4, 4, 3, 3, 4, 4, 2, 0, 2, 2, 3, 2, 0, 4, 4, 3, 1, 3, 1, 4, 2, 3, 4, 2, 3, 3, 4, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 4, 2, 0, 0, 3, 0, 0, 2, 0, 1, 0, 4, 2, 4, 0, 0, 3, 1, 0, 4, 1, 2, 2, 3, 0, 2, 0, 4, 3, 1, 0, 4, 1, 4, 3, 4, 4, 4, 2, 1, 4, 3, 4, 1, 1, 3, 3, 3, 1, 1, 0, 1, 4, 3, 4, 3, 2, 3, 4, 2, 0, 4, 2, 4, 4, 1, 0, 1, 1, 3, 2, 3, 4, 4, 1, 1, 4, 4, 2, 1, 0, 4, 0, 1, 3, 4, 1, 2, 3, 3, 1, 4, 3, 3, 2, 1, 2, 1, 2, 2, 1, 2, 0, 4, 4, 4, 3, 2, 2, 3, 0, 3, 2, 0, 0, 3, 1, 2, 3, 4, 0, 2, 2, 2, 3, 4, 4, 2, 4, 2, 1, 3, 0, 4, 3, 4, 4, 0, 3, 4, 3, 4, 2, 0, 3, 3, 1, 1, 2, 1, 0, 1, 2, 1, 0, 3, 0, 2, 2, 0, 1, 0, 4, 0, 3, 2, 3, 0, 4, 3, 4, 2, 1, 2, 3, 4, 0, 1, 4, 2, 1, 1, 1, 1, 2, 4, 3, 1, 4, 0, 3, 3, 3, 1, 3, 3, 4, 1, 0, 1, 0, 2, 3, 4, 3, 4, 1, 2, 3, 1, 2, 4, 1, 3, 4, 0, 0, 3, 3, 0, 1, 0, 1, 2, 3, 0, 4, 3, 3, 2, 4, 1, 1, 0, 2, 3, 1, 2, 4, 3, 3, 2, 4, 1, 3, 3, 0, 2, 3, 3, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 4, 2, 1] pubkeycol702 = [1, 4, 3, 4, 0, 3, 2, 3, 1, 1, 0, 0, 2, 2, 4, 0, 4, 4, 4, 0, 3, 4, 4, 2, 0, 4, 1, 4, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 3, 4, 3, 0, 2, 3, 1, 0, 0, 0, 2, 2, 4, 2, 3, 3, 2, 2, 0, 1, 4, 2, 0, 4, 3, 4, 4, 4, 3, 3, 0, 4, 4, 1, 2, 4, 2, 0, 4, 4, 4, 1, 4, 1, 2, 3, 2, 2, 2, 3, 1, 3, 2, 0, 0, 3, 0, 0, 3, 2, 1, 0, 0, 3, 2, 3, 4, 3, 4, 4, 2, 2, 4, 0, 4, 4, 3, 2, 3, 4, 2, 4, 1, 3, 3, 4, 3, 3, 0, 2, 2, 4, 2, 2, 1, 2, 0, 2, 4, 3, 1, 3, 0, 4, 0, 1, 3, 3, 2, 1, 3, 4, 4, 0, 3, 0, 3, 2, 1, 3, 2, 4, 1, 2, 4, 0, 2, 2, 3, 3, 0, 4, 1, 4, 2, 2, 2, 0, 0, 0, 0, 3, 2, 3, 2, 2, 1, 2, 1, 4, 2, 4, 4, 0, 0, 4, 2, 4, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 2, 2, 4, 1, 4, 4, 2, 0, 1, 4, 2, 2, 0, 2, 1, 3, 3, 4, 2, 0, 0, 4, 0, 4, 3, 0, 1, 2, 1, 2, 1, 3, 2, 3, 2, 4, 3, 3, 2, 4, 4, 1, 4, 1, 2, 4, 2, 2, 4, 0, 0, 2, 2, 0, 4, 3, 4, 1, 0, 2, 1, 3, 2, 4, 4, 0, 2, 3, 1, 3, 0, 0, 4, 2, 1, 0, 2, 1, 0, 1, 3, 1, 4, 4, 2, 2, 4, 4, 0, 4, 3, 4, 4, 3, 1, 3, 3, 1, 4, 3, 3, 3, 3, 3, 3, 3, 2, 0, 4, 1, 2, 3, 2, 2, 0, 1, 0, 2, 0, 2, 3, 4, 1, 3, 3, 1, 2, 4, 2, 1, 1, 0, 1, 3, 4, 0, 2, 1, 3, 2, 2, 0, 1, 3, 3, 1, 0, 3, 2, 4, 4, 0, 3, 1, 3, 0, 3, 0, 1, 4, 4, 1, 2, 1, 0, 4, 2, 4, 0, 1, 2, 1, 3, 0, 2, 2, 0, 0, 3, 2, 0, 4, 0, 4, 3, 1, 1, 2, 2, 2] pubkeycol703 = [0, 4, 2, 1, 3, 2, 0, 0, 4, 3, 0, 4, 3, 1, 2, 3, 0, 2, 4, 4, 1, 3, 2, 4, 1, 1, 3, 4, 2, 3, 3, 4, 3, 4, 3, 4, 3, 1, 1, 0, 4, 0, 2, 2, 0, 0, 4, 1, 4, 0, 1, 0, 4, 0, 2, 0, 3, 3, 2, 0, 2, 3, 3, 1, 0, 2, 3, 0, 0, 0, 0, 0, 0, 3, 2, 3, 1, 3, 0, 3, 1, 3, 0, 3, 2, 4, 1, 1, 0, 0, 1, 1, 2, 4, 4, 2, 3, 4, 3, 0, 3, 1, 2, 0, 4, 2, 1, 3, 3, 3, 0, 1, 1, 1, 1, 4, 3, 0, 2, 2, 1, 4, 0, 4, 3, 0, 1, 1, 1, 0, 1, 0, 3, 0, 2, 3, 3, 2, 2, 4, 3, 1, 1, 0, 4, 1, 2, 1, 2, 4, 1, 4, 4, 1, 2, 3, 3, 0, 2, 2, 4, 1, 0, 0, 0, 1, 3, 3, 0, 2, 0, 2, 2, 0, 2, 0, 4, 3, 3, 0, 3, 3, 3, 0, 3, 4, 3, 4, 2, 4, 1, 3, 0, 1, 4, 4, 4, 4, 1, 3, 4, 4, 0, 3, 4, 3, 3, 3, 3, 4, 4, 3, 3, 2, 2, 0, 1, 3, 1, 1, 4, 4, 1, 4, 1, 0, 3, 1, 4, 4, 3, 2, 2, 0, 1, 1, 3, 1, 2, 3, 3, 2, 2, 2, 2, 4, 1, 3, 2, 2, 0, 3, 4, 4, 4, 4, 0, 4, 3, 1, 0, 0, 0, 1, 3, 0, 2, 1, 2, 2, 1, 1, 2, 4, 2, 0, 2, 3, 3, 2, 4, 2, 4, 3, 0, 2, 2, 2, 4, 0, 1, 2, 4, 2, 4, 0, 1, 1, 4, 2, 4, 1, 1, 4, 1, 1, 3, 0, 4, 4, 2, 2, 4, 3, 4, 1, 1, 0, 4, 2, 4, 1, 0, 4, 2, 4, 0, 2, 2, 1, 1, 0, 3, 3, 4, 4, 2, 1, 3, 1, 3, 2, 2, 4, 2, 4, 0, 3, 4, 3, 1, 4, 3, 0, 1, 1, 4, 2, 2, 4, 1, 0, 0, 1, 3, 2, 1, 3, 2, 3, 2, 1, 1, 3, 4, 1, 4, 0, 0, 4, 1, 3, 0, 1, 1, 4, 3, 4, 1, 1, 1, 3, 1, 1, 0, 4, 0, 1, 1, 3] pubkeycol704 = [0, 3, 0, 3, 1, 2, 2, 3, 1, 2, 3, 3, 2, 1, 3, 4, 1, 0, 2, 2, 3, 3, 2, 2, 2, 1, 4, 1, 4, 4, 3, 4, 2, 2, 0, 4, 4, 3, 4, 1, 4, 2, 0, 0, 2, 2, 4, 4, 2, 2, 1, 4, 0, 3, 0, 0, 0, 3, 3, 1, 2, 0, 3, 2, 2, 0, 3, 3, 0, 1, 1, 2, 1, 1, 2, 1, 2, 3, 0, 0, 3, 2, 2, 2, 4, 4, 1, 0, 3, 0, 0, 4, 0, 0, 3, 2, 2, 0, 1, 4, 4, 1, 2, 3, 1, 3, 0, 0, 0, 3, 4, 1, 3, 2, 2, 3, 3, 4, 2, 2, 1, 0, 1, 3, 2, 3, 0, 4, 2, 4, 4, 3, 1, 4, 4, 4, 2, 0, 3, 1, 2, 1, 0, 4, 0, 3, 1, 1, 2, 3, 3, 3, 0, 2, 4, 0, 3, 0, 3, 3, 1, 4, 4, 0, 2, 1, 2, 3, 2, 2, 1, 1, 4, 3, 3, 2, 1, 0, 2, 1, 4, 3, 0, 1, 4, 1, 3, 2, 0, 1, 2, 3, 4, 4, 4, 0, 3, 2, 0, 1, 1, 1, 0, 4, 2, 3, 3, 2, 3, 3, 4, 4, 2, 4, 1, 3, 4, 2, 1, 1, 3, 3, 1, 0, 1, 4, 3, 2, 3, 1, 1, 1, 3, 3, 1, 0, 4, 0, 3, 3, 3, 0, 1, 1, 3, 4, 3, 1, 1, 0, 3, 4, 0, 4, 4, 1, 1, 3, 4, 4, 1, 1, 0, 4, 0, 3, 1, 4, 4, 1, 4, 0, 3, 3, 3, 3, 4, 2, 4, 0, 2, 1, 1, 0, 0, 0, 3, 1, 2, 4, 2, 3, 1, 3, 3, 4, 0, 1, 3, 4, 3, 2, 0, 2, 4, 3, 2, 3, 3, 3, 3, 4, 1, 0, 4, 3, 1, 1, 4, 0, 0, 1, 0, 1, 3, 4, 0, 0, 2, 3, 2, 4, 4, 1, 0, 4, 0, 3, 0, 3, 0, 4, 0, 2, 0, 1, 1, 3, 2, 1, 4, 4, 1, 1, 4, 0, 2, 1, 1, 1, 0, 2, 4, 4, 2, 1, 2, 1, 4, 0, 0, 3, 2, 2, 4, 1, 4, 2, 1, 1, 1, 3, 3, 3, 1, 4, 0, 4, 0, 4, 0, 4, 3, 3, 2, 3, 4, 4, 3, 1] pubkeycol705 = [2, 0, 1, 0, 1, 2, 4, 4, 3, 1, 0, 3, 1, 2, 2, 2, 3, 3, 0, 4, 2, 2, 2, 2, 4, 2, 0, 2, 4, 3, 0, 4, 2, 4, 0, 4, 0, 2, 4, 2, 1, 1, 2, 2, 4, 3, 1, 3, 2, 1, 0, 2, 1, 3, 2, 1, 1, 3, 4, 4, 0, 4, 4, 0, 4, 4, 4, 2, 3, 0, 1, 4, 3, 0, 3, 3, 0, 3, 0, 2, 4, 2, 4, 4, 1, 3, 2, 2, 4, 3, 4, 1, 1, 4, 4, 1, 0, 3, 3, 1, 2, 3, 4, 4, 0, 4, 3, 2, 1, 4, 2, 0, 1, 2, 1, 1, 4, 0, 4, 3, 2, 1, 1, 4, 4, 3, 3, 1, 4, 4, 0, 2, 0, 3, 0, 2, 1, 3, 2, 2, 3, 1, 0, 3, 4, 0, 2, 4, 3, 3, 0, 3, 3, 2, 1, 2, 0, 3, 2, 0, 3, 3, 2, 2, 0, 2, 1, 0, 3, 1, 1, 3, 1, 1, 1, 1, 1, 4, 1, 4, 1, 0, 0, 4, 0, 2, 3, 0, 4, 4, 4, 4, 1, 4, 2, 0, 3, 4, 0, 4, 0, 4, 0, 3, 4, 3, 4, 1, 4, 1, 0, 0, 3, 0, 2, 3, 2, 3, 0, 2, 1, 4, 4, 2, 2, 1, 0, 2, 2, 1, 2, 0, 3, 2, 1, 0, 3, 2, 0, 4, 1, 3, 4, 1, 0, 1, 0, 0, 2, 0, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 2, 3, 2, 1, 0, 3, 0, 0, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2, 1, 3, 3, 1, 0, 3, 1, 4, 0, 3, 3, 4, 2, 1, 4, 4, 3, 0, 1, 0, 1, 1, 3, 4, 1, 0, 3, 4, 3, 0, 0, 1, 0, 0, 3, 0, 0, 3, 3, 4, 1, 2, 4, 2, 2, 3, 4, 2, 3, 3, 3, 1, 2, 1, 3, 2, 1, 4, 1, 2, 0, 0, 1, 4, 0, 1, 1, 4, 4, 4, 2, 1, 4, 1, 2, 2, 0, 3, 1, 2, 2, 3, 1, 2, 1, 2, 1, 4, 3, 2, 0, 4, 2, 3, 1, 0, 0, 3, 4, 4, 0, 3, 1, 3, 2, 0, 0, 2, 4, 0, 1, 0, 3, 2, 0, 0, 2, 1, 2, 3] pubkeycol706 = [0, 0, 1, 1, 0, 4, 4, 4, 2, 2, 4, 2, 4, 2, 2, 1, 1, 3, 1, 4, 1, 0, 0, 4, 3, 0, 3, 4, 3, 4, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 3, 2, 3, 0, 3, 2, 2, 2, 1, 3, 3, 0, 2, 2, 3, 2, 1, 3, 0, 0, 2, 3, 4, 0, 1, 3, 3, 2, 3, 3, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 3, 3, 3, 3, 2, 3, 2, 3, 4, 2, 3, 4, 4, 3, 0, 3, 3, 2, 4, 4, 0, 0, 1, 2, 4, 0, 4, 0, 4, 3, 0, 0, 3, 1, 1, 0, 4, 3, 2, 0, 2, 3, 4, 4, 0, 2, 3, 1, 3, 1, 3, 2, 0, 3, 3, 2, 4, 4, 2, 4, 2, 4, 2, 3, 4, 2, 0, 0, 4, 2, 3, 3, 3, 4, 2, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 0, 0, 2, 1, 1, 4, 3, 0, 0, 3, 2, 2, 2, 1, 1, 4, 3, 0, 4, 1, 3, 2, 2, 1, 2, 1, 4, 1, 0, 0, 3, 2, 3, 0, 1, 2, 0, 3, 3, 2, 2, 0, 2, 0, 0, 0, 4, 1, 1, 3, 2, 1, 0, 1, 3, 4, 1, 2, 1, 4, 4, 2, 1, 2, 0, 2, 1, 3, 0, 2, 4, 3, 1, 4, 0, 2, 4, 3, 1, 3, 3, 4, 4, 1, 4, 2, 4, 4, 3, 2, 3, 2, 1, 1, 4, 2, 3, 2, 0, 0, 2, 1, 3, 3, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 3, 0, 1, 1, 4, 2, 0, 0, 2, 4, 1, 0, 2, 4, 2, 4, 3, 2, 3, 0, 3, 0, 2, 4, 1, 3, 0, 2, 2, 1, 2, 0, 4, 0, 2, 3, 2, 0, 0, 3, 2, 3, 0, 3, 3, 0, 0, 4, 0, 2, 3, 3, 2, 0, 0, 1, 1, 0, 1, 0, 0, 4, 3, 1, 4, 1, 0, 1, 3, 2, 4, 2, 3, 1, 0, 3, 3, 0, 0, 0, 2, 4, 1, 0, 4, 0, 1, 0, 3, 0, 3, 4, 3, 0, 0, 0, 1, 1, 0, 4, 2] pubkeycol707 = [0, 1, 0, 1, 0, 0, 4, 3, 4, 1, 3, 3, 4, 0, 4, 3, 4, 2, 4, 0, 2, 3, 2, 1, 4, 4, 2, 0, 3, 4, 1, 0, 4, 1, 4, 1, 4, 0, 0, 3, 4, 4, 3, 0, 4, 1, 4, 1, 3, 1, 3, 1, 1, 1, 0, 0, 4, 2, 0, 4, 2, 3, 1, 4, 4, 2, 0, 2, 1, 2, 4, 3, 3, 3, 1, 0, 0, 3, 3, 4, 1, 4, 4, 4, 2, 3, 1, 1, 0, 3, 2, 1, 4, 1, 4, 4, 3, 2, 3, 3, 0, 1, 3, 4, 0, 1, 4, 1, 0, 0, 0, 4, 3, 3, 0, 3, 4, 2, 2, 3, 4, 0, 0, 4, 3, 2, 4, 3, 4, 3, 4, 4, 1, 3, 0, 4, 0, 2, 4, 2, 0, 3, 1, 0, 1, 2, 3, 4, 3, 1, 0, 4, 2, 0, 3, 3, 4, 2, 3, 1, 2, 1, 2, 2, 0, 3, 2, 4, 1, 2, 0, 1, 0, 3, 0, 3, 0, 1, 1, 0, 2, 2, 2, 4, 2, 4, 3, 4, 4, 1, 4, 0, 4, 2, 0, 4, 3, 0, 2, 1, 3, 1, 4, 2, 3, 2, 2, 0, 0, 0, 0, 4, 0, 1, 0, 0, 3, 1, 0, 0, 1, 2, 3, 0, 4, 1, 1, 1, 0, 3, 2, 3, 0, 3, 1, 2, 4, 1, 3, 3, 3, 4, 0, 2, 3, 1, 3, 1, 0, 1, 1, 0, 0, 3, 0, 4, 3, 0, 1, 0, 0, 0, 3, 1, 3, 3, 1, 0, 2, 1, 1, 4, 0, 2, 3, 3, 4, 0, 1, 3, 0, 0, 0, 2, 4, 0, 1, 2, 0, 1, 2, 3, 4, 3, 1, 4, 2, 2, 3, 0, 3, 0, 0, 2, 4, 4, 3, 3, 2, 1, 4, 0, 4, 1, 4, 4, 4, 4, 2, 2, 4, 2, 3, 2, 0, 2, 2, 2, 0, 0, 4, 3, 0, 3, 3, 0, 1, 2, 3, 4, 2, 1, 0, 1, 1, 3, 4, 0, 0, 2, 4, 2, 4, 2, 2, 4, 4, 3, 0, 1, 2, 4, 4, 1, 2, 3, 4, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 3, 1, 4, 2, 4, 3, 3, 4, 0, 0, 2, 1, 0, 0, 3, 0, 2, 4, 2, 0, 0, 2, 3] pubkeycol708 = [3, 3, 3, 0, 4, 1, 0, 4, 0, 3, 4, 1, 1, 0, 2, 2, 4, 2, 1, 0, 0, 4, 1, 4, 3, 4, 1, 4, 0, 0, 3, 2, 2, 4, 4, 4, 1, 1, 1, 1, 3, 0, 2, 1, 2, 3, 2, 2, 3, 2, 4, 0, 4, 0, 4, 4, 4, 4, 1, 4, 1, 4, 4, 0, 0, 4, 4, 3, 4, 3, 1, 4, 0, 4, 2, 1, 3, 3, 3, 0, 0, 2, 4, 2, 3, 4, 3, 3, 3, 4, 2, 3, 1, 1, 4, 2, 3, 3, 0, 3, 4, 1, 3, 2, 4, 1, 4, 1, 0, 2, 4, 3, 0, 3, 2, 2, 3, 0, 2, 1, 2, 2, 4, 3, 0, 0, 3, 3, 2, 4, 4, 3, 3, 4, 0, 3, 4, 4, 4, 0, 1, 4, 2, 2, 2, 0, 3, 3, 1, 2, 4, 1, 3, 2, 3, 4, 1, 1, 1, 1, 4, 0, 0, 2, 1, 2, 2, 0, 3, 0, 4, 4, 2, 3, 2, 1, 1, 3, 2, 2, 1, 2, 4, 4, 4, 4, 0, 3, 2, 2, 1, 0, 2, 4, 0, 3, 3, 2, 2, 3, 3, 2, 4, 3, 1, 4, 3, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 3, 1, 0, 3, 4, 4, 1, 2, 1, 1, 4, 0, 0, 4, 1, 1, 0, 0, 4, 3, 0, 4, 4, 1, 2, 2, 1, 2, 3, 4, 3, 1, 4, 4, 1, 0, 0, 2, 4, 2, 2, 3, 2, 4, 4, 3, 2, 1, 3, 3, 0, 1, 3, 1, 2, 4, 0, 2, 1, 3, 0, 0, 4, 3, 1, 0, 0, 2, 4, 4, 4, 3, 2, 3, 0, 4, 3, 1, 1, 3, 1, 0, 2, 4, 0, 4, 2, 4, 1, 1, 1, 0, 3, 3, 2, 4, 3, 3, 3, 2, 2, 3, 1, 0, 3, 0, 2, 0, 0, 2, 4, 0, 0, 3, 0, 4, 2, 4, 1, 1, 2, 0, 2, 3, 0, 2, 2, 2, 3, 2, 2, 0, 2, 1, 0, 2, 3, 0, 0, 1, 4, 0, 4, 1, 1, 2, 4, 3, 3, 1, 2, 4, 2, 2, 0, 0, 3, 4, 4, 2, 4, 2, 4, 4, 2, 3, 2, 2, 0, 4, 3, 0, 1, 4, 4, 4, 1, 0, 4, 4, 3, 3, 3] pubkeycol709 = [3, 2, 0, 1, 4, 1, 0, 3, 3, 1, 0, 3, 3, 1, 4, 2, 3, 3, 4, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 3, 2, 4, 0, 3, 1, 2, 1, 1, 1, 1, 3, 2, 3, 1, 4, 4, 2, 1, 2, 3, 4, 4, 2, 1, 0, 0, 1, 1, 2, 0, 1, 3, 3, 3, 2, 4, 3, 0, 0, 3, 1, 4, 2, 0, 2, 3, 1, 3, 1, 1, 3, 1, 1, 2, 1, 4, 4, 2, 4, 4, 0, 3, 3, 2, 2, 2, 1, 2, 1, 2, 1, 0, 3, 4, 4, 3, 2, 0, 4, 3, 4, 1, 4, 3, 1, 3, 0, 0, 1, 0, 2, 2, 0, 4, 3, 1, 2, 4, 2, 1, 4, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 3, 4, 1, 4, 4, 4, 4, 3, 3, 4, 0, 0, 3, 4, 0, 3, 3, 0, 0, 4, 4, 2, 0, 2, 3, 2, 1, 3, 3, 3, 4, 3, 4, 1, 3, 2, 0, 3, 2, 4, 0, 0, 2, 3, 4, 1, 4, 4, 4, 1, 3, 4, 2, 3, 4, 0, 4, 0, 0, 3, 4, 1, 0, 4, 2, 4, 2, 4, 1, 2, 4, 1, 0, 2, 2, 4, 2, 2, 0, 4, 0, 1, 2, 2, 1, 0, 0, 3, 0, 3, 0, 4, 4, 2, 0, 1, 1, 3, 0, 4, 0, 0, 4, 1, 4, 4, 0, 0, 4, 1, 2, 4, 1, 2, 2, 2, 1, 3, 0, 4, 4, 3, 3, 0, 2, 4, 3, 1, 1, 1, 3, 1, 4, 3, 1, 0, 4, 1, 4, 2, 3, 2, 2, 3, 3, 4, 4, 0, 2, 0, 3, 4, 3, 1, 2, 4, 0, 3, 3, 4, 0, 3, 3, 1, 3, 4, 3, 4, 1, 0, 4, 3, 3, 0, 0, 4, 0, 3, 1, 3, 3, 3, 2, 4, 4, 4, 0, 1, 1, 3, 4, 0, 3, 4, 3, 0, 1, 1, 2, 0, 1, 3, 0, 4, 3, 0, 2, 1, 1, 1, 4, 3, 1, 2, 4, 1, 1, 2, 1, 1, 0, 4, 4, 1, 2, 0, 4, 3, 1, 2, 1, 2, 0, 1, 2, 2, 3, 4, 0, 4, 4, 1, 4, 0, 1, 4, 1, 3, 1, 2, 0, 1, 2, 2, 1, 2, 3, 2, 3] pubkeycol710 = [3, 4, 3, 1, 3, 4, 1, 0, 3, 4, 3, 1, 4, 4, 0, 2, 4, 4, 4, 3, 1, 0, 1, 0, 4, 0, 3, 2, 2, 4, 0, 4, 1, 4, 4, 0, 0, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 0, 1, 1, 3, 0, 0, 1, 1, 4, 3, 3, 3, 1, 3, 1, 1, 4, 4, 3, 2, 4, 1, 1, 2, 1, 4, 2, 2, 1, 4, 3, 4, 0, 0, 3, 2, 1, 4, 4, 2, 1, 0, 3, 2, 1, 1, 4, 4, 1, 1, 3, 0, 1, 4, 1, 3, 2, 2, 3, 3, 2, 0, 2, 1, 1, 3, 3, 0, 1, 0, 1, 3, 0, 2, 0, 3, 0, 0, 1, 2, 2, 0, 4, 1, 0, 2, 2, 0, 2, 4, 4, 3, 0, 2, 4, 4, 4, 1, 3, 3, 0, 4, 2, 2, 0, 0, 0, 3, 3, 3, 3, 4, 1, 2, 3, 1, 0, 1, 1, 4, 0, 1, 2, 2, 3, 2, 2, 1, 1, 2, 4, 0, 1, 1, 3, 3, 1, 4, 3, 1, 1, 0, 1, 3, 1, 2, 3, 1, 4, 0, 2, 4, 0, 4, 1, 0, 0, 2, 2, 4, 1, 4, 2, 2, 2, 3, 3, 3, 2, 2, 1, 4, 1, 2, 0, 0, 2, 1, 4, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 4, 3, 1, 0, 0, 4, 4, 0, 1, 3, 4, 3, 1, 4, 1, 3, 3, 0, 2, 0, 1, 3, 2, 0, 3, 1, 3, 2, 0, 0, 4, 4, 4, 3, 3, 3, 3, 2, 3, 2, 2, 3, 4, 2, 3, 4, 1, 3, 1, 0, 3, 1, 3, 4, 2, 2, 2, 4, 4, 2, 0, 0, 3, 0, 3, 4, 3, 0, 3, 4, 2, 1, 0, 4, 1, 0, 4, 3, 1, 1, 2, 0, 2, 3, 0, 3, 1, 1, 2, 2, 2, 4, 2, 3, 1, 3, 4, 1, 2, 0, 0, 2, 3, 1, 2, 2, 0, 4, 3, 4, 4, 0, 0, 0, 2, 4, 1, 3, 4, 2, 2, 0, 2, 2, 2, 0, 0, 4, 2, 0, 3, 2, 0, 4, 1, 3, 1, 4, 2, 0, 0, 3, 1, 4, 3, 0, 0, 2, 3, 1, 4, 3, 4, 0, 2, 2, 2, 0, 3, 2, 0, 0, 2] pubkeycol711 = [4, 4, 0, 0, 3, 3, 0, 2, 1, 4, 2, 1, 2, 1, 2, 4, 0, 2, 3, 2, 3, 0, 0, 3, 1, 4, 4, 2, 4, 4, 1, 0, 2, 2, 2, 0, 3, 1, 1, 3, 4, 4, 2, 1, 4, 0, 2, 3, 1, 1, 3, 3, 4, 0, 3, 3, 0, 1, 1, 1, 0, 3, 4, 4, 3, 3, 0, 0, 2, 2, 0, 4, 0, 4, 2, 2, 3, 4, 1, 3, 2, 1, 0, 2, 1, 2, 0, 2, 3, 2, 2, 0, 1, 0, 2, 1, 3, 1, 2, 0, 3, 0, 3, 4, 3, 2, 1, 1, 0, 4, 4, 2, 3, 2, 1, 1, 0, 3, 3, 4, 1, 2, 4, 1, 4, 3, 0, 1, 1, 4, 1, 4, 4, 3, 0, 2, 2, 3, 1, 0, 3, 1, 2, 4, 1, 3, 3, 2, 2, 4, 1, 1, 3, 0, 4, 3, 3, 3, 2, 0, 2, 0, 0, 4, 4, 3, 2, 3, 4, 1, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 2, 4, 1, 2, 0, 0, 4, 3, 0, 4, 4, 0, 0, 1, 1, 2, 3, 2, 4, 4, 2, 0, 4, 4, 0, 1, 1, 1, 0, 1, 2, 0, 4, 0, 4, 0, 1, 4, 0, 0, 1, 2, 1, 3, 4, 4, 1, 4, 4, 1, 1, 1, 2, 3, 2, 0, 0, 0, 4, 3, 0, 2, 2, 3, 2, 3, 0, 4, 4, 0, 1, 0, 2, 4, 3, 4, 0, 3, 0, 1, 2, 4, 2, 4, 1, 1, 3, 0, 4, 0, 3, 4, 3, 1, 4, 1, 1, 1, 0, 4, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 4, 0, 3, 1, 2, 0, 0, 0, 4, 3, 3, 2, 4, 1, 4, 3, 3, 4, 4, 0, 3, 4, 1, 4, 3, 1, 3, 2, 1, 3, 3, 1, 2, 4, 2, 3, 4, 2, 0, 3, 1, 4, 3, 4, 0, 0, 4, 3, 4, 2, 2, 3, 0, 2, 4, 2, 2, 1, 0, 1, 4, 3, 2, 3, 0, 0, 2, 0, 0, 4, 0, 4, 2, 1, 4, 2, 0, 2, 4, 4, 0, 4, 1, 3, 1, 4, 3, 2, 4, 0, 4, 0, 2, 0, 2, 4, 4, 1, 1, 3, 4, 2, 2, 2] pubkeycol712 = [4, 4, 3, 0, 0, 4, 2, 4, 0, 2, 1, 0, 2, 3, 1, 4, 3, 1, 0, 2, 4, 2, 0, 2, 2, 2, 2, 1, 4, 1, 0, 4, 4, 1, 3, 1, 1, 3, 3, 1, 1, 2, 3, 4, 4, 3, 1, 2, 4, 2, 0, 0, 3, 3, 4, 1, 0, 1, 0, 3, 0, 0, 1, 0, 3, 1, 4, 1, 4, 3, 3, 4, 4, 2, 4, 3, 2, 2, 4, 3, 0, 1, 4, 3, 3, 2, 4, 0, 3, 3, 0, 2, 4, 1, 1, 2, 1, 3, 2, 3, 0, 4, 0, 1, 2, 3, 0, 3, 0, 2, 4, 3, 4, 0, 0, 3, 2, 2, 4, 2, 3, 2, 3, 4, 2, 4, 0, 4, 2, 2, 1, 4, 4, 4, 0, 3, 2, 4, 2, 1, 4, 0, 3, 1, 2, 4, 2, 4, 1, 3, 2, 2, 2, 2, 2, 4, 2, 3, 0, 1, 4, 3, 3, 4, 0, 3, 3, 1, 0, 0, 2, 0, 4, 0, 3, 4, 2, 3, 1, 0, 4, 2, 3, 3, 3, 4, 3, 3, 0, 0, 1, 1, 4, 1, 3, 4, 0, 2, 1, 2, 0, 4, 2, 3, 4, 3, 3, 0, 4, 3, 1, 0, 2, 0, 2, 2, 0, 4, 3, 1, 4, 4, 0, 0, 0, 2, 4, 0, 1, 4, 3, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 3, 3, 1, 4, 3, 4, 2, 2, 1, 2, 0, 0, 0, 0, 4, 0, 1, 1, 4, 3, 0, 4, 3, 4, 0, 0, 1, 1, 0, 4, 2, 3, 2, 4, 0, 0, 1, 1, 0, 1, 3, 4, 4, 4, 4, 4, 0, 1, 3, 3, 1, 2, 1, 2, 3, 4, 1, 2, 3, 3, 2, 2, 4, 1, 0, 4, 1, 2, 1, 3, 3, 4, 4, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 3, 3, 1, 1, 2, 4, 3, 3, 1, 2, 2, 4, 1, 3, 3, 0, 2, 3, 3, 1, 4, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 3, 2, 4, 1, 4, 1, 3, 0, 1, 0, 0, 0, 1, 4, 2, 0, 4, 1, 2, 4, 3, 2, 2, 1, 3, 0, 0, 0, 3, 4, 1, 0, 4, 2] pubkeycol713 = [2, 1, 2, 0, 3, 3, 4, 3, 0, 0, 0, 3, 1, 4, 0, 4, 1, 2, 3, 4, 1, 2, 3, 2, 3, 4, 4, 1, 0, 2, 2, 3, 2, 1, 4, 1, 2, 4, 0, 0, 2, 3, 0, 3, 3, 3, 2, 3, 0, 3, 2, 3, 4, 4, 1, 1, 0, 1, 2, 1, 0, 1, 2, 3, 2, 4, 4, 3, 2, 2, 3, 2, 3, 4, 0, 3, 2, 3, 0, 4, 2, 4, 0, 0, 4, 1, 2, 4, 4, 1, 1, 1, 3, 1, 0, 0, 1, 0, 3, 0, 3, 0, 1, 4, 0, 0, 1, 4, 1, 2, 1, 1, 1, 4, 3, 4, 1, 2, 2, 3, 1, 2, 1, 2, 4, 3, 4, 2, 1, 4, 1, 3, 0, 2, 4, 3, 4, 0, 1, 1, 2, 4, 1, 0, 2, 4, 1, 1, 2, 3, 3, 2, 2, 2, 3, 0, 4, 0, 2, 1, 2, 3, 1, 2, 2, 4, 3, 3, 1, 1, 1, 3, 1, 1, 3, 2, 2, 3, 2, 2, 0, 0, 3, 3, 4, 2, 1, 0, 0, 3, 2, 3, 2, 1, 2, 4, 2, 0, 4, 0, 2, 0, 3, 0, 4, 1, 2, 3, 0, 4, 4, 2, 4, 1, 2, 2, 1, 4, 3, 4, 4, 1, 1, 0, 0, 2, 1, 4, 3, 0, 1, 3, 1, 4, 3, 2, 3, 4, 0, 4, 2, 1, 1, 4, 0, 4, 1, 2, 2, 4, 4, 1, 0, 4, 0, 1, 2, 2, 2, 4, 2, 0, 3, 3, 0, 3, 2, 3, 0, 0, 0, 0, 2, 4, 1, 1, 4, 4, 0, 1, 3, 1, 4, 3, 3, 3, 0, 1, 1, 4, 3, 3, 1, 3, 1, 0, 2, 4, 4, 1, 0, 2, 0, 2, 3, 3, 3, 0, 3, 4, 3, 3, 4, 4, 0, 0, 3, 4, 2, 4, 1, 3, 4, 4, 4, 0, 2, 4, 3, 4, 4, 3, 2, 0, 3, 1, 4, 3, 2, 1, 3, 2, 2, 0, 2, 4, 4, 2, 4, 1, 4, 4, 3, 0, 1, 1, 3, 2, 2, 4, 3, 2, 4, 2, 0, 3, 2, 4, 2, 4, 0, 0, 4, 4, 2, 0, 2, 2, 1, 4, 0, 4, 0, 1, 3, 3, 1, 4, 0, 2, 0, 0, 3, 0, 3, 0, 2, 0, 1, 2] pubkeycol714 = [3, 1, 4, 2, 2, 4, 4, 0, 2, 3, 2, 4, 4, 0, 3, 4, 3, 0, 4, 4, 1, 3, 4, 1, 1, 1, 0, 0, 1, 3, 4, 1, 3, 0, 2, 1, 3, 1, 4, 0, 0, 0, 2, 0, 1, 3, 1, 1, 0, 3, 2, 4, 4, 0, 2, 4, 2, 1, 4, 0, 3, 0, 3, 2, 0, 3, 0, 0, 1, 2, 1, 0, 2, 2, 2, 3, 0, 2, 2, 2, 2, 0, 3, 0, 1, 3, 4, 3, 0, 3, 0, 3, 2, 4, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 4, 1, 3, 3, 0, 2, 1, 4, 3, 0, 1, 3, 3, 2, 1, 1, 3, 4, 4, 2, 0, 4, 3, 2, 0, 0, 3, 1, 3, 1, 2, 3, 1, 1, 3, 0, 4, 1, 4, 2, 0, 4, 1, 1, 2, 3, 4, 1, 1, 1, 3, 1, 4, 4, 0, 3, 1, 4, 0, 3, 4, 2, 4, 1, 1, 4, 2, 3, 4, 3, 4, 2, 0, 4, 0, 1, 0, 0, 0, 1, 3, 1, 0, 1, 4, 4, 4, 1, 3, 0, 1, 4, 2, 2, 2, 2, 2, 4, 3, 0, 0, 0, 1, 1, 2, 1, 4, 0, 3, 4, 2, 1, 1, 1, 1, 0, 1, 0, 4, 2, 4, 0, 2, 0, 4, 2, 3, 0, 2, 4, 4, 2, 2, 3, 1, 1, 1, 4, 1, 0, 0, 2, 1, 2, 3, 3, 0, 1, 1, 2, 4, 1, 3, 3, 3, 0, 1, 3, 3, 0, 0, 1, 2, 1, 1, 4, 2, 4, 0, 4, 0, 3, 1, 3, 2, 0, 1, 4, 4, 4, 2, 1, 0, 1, 4, 4, 1, 0, 2, 2, 1, 0, 2, 0, 0, 3, 2, 4, 3, 1, 2, 1, 3, 3, 1, 1, 2, 2, 2, 4, 2, 3, 1, 4, 2, 1, 1, 4, 0, 2, 3, 2, 0, 1, 1, 1, 1, 4, 0, 4, 1, 4, 3, 3, 2, 4, 2, 4, 4, 0, 3, 3, 4, 2, 3, 0, 0, 3, 2, 1, 4, 3, 4, 4, 0, 4, 1, 0, 2, 2, 1, 3, 2, 1, 4, 4, 2, 4, 0, 0, 4, 1, 4, 1, 0, 4, 2, 3, 0, 2, 1, 1, 1, 1, 4, 1, 1, 1, 3, 4, 3, 0, 2, 4, 2] pubkeycol715 = [1, 2, 3, 4, 1, 2, 0, 1, 3, 4, 3, 0, 2, 4, 3, 0, 4, 4, 2, 0, 3, 1, 3, 4, 2, 2, 1, 2, 3, 3, 3, 3, 0, 0, 1, 3, 0, 2, 1, 3, 0, 3, 1, 4, 0, 3, 0, 4, 2, 3, 4, 1, 2, 4, 2, 3, 1, 4, 3, 3, 0, 0, 2, 4, 0, 2, 2, 2, 2, 4, 0, 4, 1, 0, 1, 1, 0, 1, 2, 2, 1, 4, 3, 2, 4, 0, 2, 2, 1, 0, 3, 1, 4, 2, 4, 1, 0, 1, 3, 2, 0, 3, 4, 2, 2, 4, 4, 4, 1, 1, 2, 0, 1, 0, 0, 3, 0, 3, 4, 4, 2, 0, 3, 3, 0, 1, 3, 2, 0, 4, 3, 3, 4, 4, 4, 3, 4, 0, 1, 4, 3, 2, 0, 4, 0, 4, 3, 2, 4, 2, 0, 0, 0, 3, 4, 1, 0, 1, 0, 3, 4, 3, 0, 4, 4, 2, 0, 0, 3, 0, 4, 3, 2, 1, 3, 0, 2, 3, 2, 1, 1, 4, 0, 3, 0, 3, 2, 4, 4, 4, 0, 4, 0, 0, 3, 2, 3, 2, 1, 1, 1, 3, 2, 1, 0, 4, 3, 1, 4, 1, 3, 0, 1, 0, 4, 1, 1, 1, 3, 3, 2, 0, 4, 2, 0, 4, 4, 2, 4, 1, 1, 3, 1, 1, 0, 3, 0, 0, 4, 2, 2, 2, 4, 1, 1, 3, 4, 1, 2, 3, 1, 1, 4, 3, 0, 4, 1, 2, 1, 1, 3, 2, 3, 4, 0, 0, 0, 3, 0, 4, 2, 2, 0, 4, 4, 1, 1, 1, 0, 3, 0, 0, 2, 3, 2, 3, 2, 3, 4, 1, 1, 2, 0, 2, 2, 4, 2, 1, 2, 0, 1, 2, 4, 2, 2, 2, 4, 2, 0, 1, 4, 2, 4, 4, 3, 2, 3, 3, 0, 4, 4, 2, 1, 3, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 4, 3, 1, 0, 4, 0, 2, 1, 4, 4, 2, 3, 3, 1, 4, 4, 2, 2, 3, 4, 1, 2, 1, 4, 0, 2, 1, 4, 3, 2, 1, 3, 1, 0, 3, 1, 4, 2, 3, 3, 3, 4, 1, 1, 2, 3, 3, 3, 0, 3, 1, 4, 2, 4, 4, 3, 4, 1, 0, 0, 2, 2, 0, 4, 3] pubkeycol716 = [2, 2, 1, 0, 0, 4, 4, 1, 4, 1, 3, 1, 2, 3, 2, 3, 0, 4, 2, 4, 4, 4, 2, 1, 4, 4, 0, 3, 0, 3, 0, 0, 1, 4, 1, 4, 4, 2, 4, 4, 1, 4, 4, 3, 2, 4, 4, 0, 2, 3, 2, 0, 2, 4, 0, 2, 3, 3, 2, 4, 1, 1, 4, 2, 1, 2, 4, 2, 3, 1, 2, 2, 4, 4, 4, 2, 1, 0, 2, 3, 3, 0, 1, 1, 3, 0, 3, 1, 2, 0, 1, 2, 0, 1, 3, 3, 4, 4, 2, 4, 0, 0, 2, 1, 0, 4, 3, 1, 0, 1, 4, 1, 3, 2, 4, 4, 1, 0, 0, 2, 0, 2, 1, 0, 1, 3, 2, 4, 1, 0, 4, 4, 0, 2, 4, 0, 1, 3, 1, 0, 1, 0, 1, 1, 1, 0, 4, 3, 2, 4, 1, 2, 0, 4, 2, 4, 0, 0, 1, 0, 0, 0, 2, 0, 3, 4, 2, 0, 4, 2, 0, 1, 4, 4, 3, 3, 0, 4, 0, 4, 2, 3, 4, 2, 1, 0, 3, 0, 1, 3, 0, 2, 3, 0, 0, 3, 0, 1, 0, 3, 4, 0, 2, 0, 2, 0, 3, 4, 3, 1, 2, 3, 0, 4, 4, 0, 3, 3, 3, 4, 3, 1, 4, 2, 1, 4, 3, 0, 3, 2, 3, 2, 2, 3, 1, 4, 1, 4, 0, 4, 3, 1, 1, 2, 1, 4, 2, 3, 0, 1, 2, 2, 4, 3, 3, 4, 3, 2, 2, 1, 0, 3, 4, 4, 2, 0, 4, 3, 1, 3, 1, 4, 3, 4, 3, 1, 2, 2, 2, 0, 0, 3, 3, 4, 0, 2, 1, 4, 3, 0, 0, 0, 4, 3, 1, 4, 3, 4, 1, 2, 4, 2, 4, 1, 1, 1, 0, 0, 0, 4, 0, 4, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 4, 4, 1, 1, 4, 4, 4, 0, 4, 2, 3, 0, 3, 1, 1, 1, 0, 4, 2, 1, 3, 1, 0, 1, 4, 3, 0, 2, 0, 2, 0, 3, 2, 2, 1, 0, 3, 2, 4, 2, 0, 1, 2, 1, 2, 3, 2, 4, 3, 2, 3, 4, 1, 3, 2, 1, 4, 2, 0, 4, 4, 2, 2, 1, 3, 3, 0, 0, 3, 2, 0, 4, 4, 2, 4, 2, 1] pubkeycol717 = [3, 2, 2, 4, 1, 1, 1, 1, 1, 0, 4, 1, 1, 0, 3, 4, 3, 3, 2, 0, 0, 1, 1, 3, 4, 1, 3, 0, 0, 3, 0, 0, 1, 1, 4, 0, 0, 3, 2, 4, 3, 0, 1, 0, 4, 0, 0, 0, 4, 1, 1, 2, 4, 1, 1, 1, 1, 4, 2, 0, 1, 3, 3, 4, 1, 1, 3, 2, 2, 1, 3, 0, 1, 0, 1, 3, 0, 1, 3, 3, 4, 4, 3, 4, 1, 1, 0, 0, 0, 1, 4, 3, 1, 2, 2, 0, 4, 4, 0, 0, 4, 4, 2, 3, 2, 4, 2, 1, 4, 2, 4, 2, 1, 2, 3, 3, 3, 0, 1, 2, 1, 4, 2, 4, 2, 1, 0, 0, 2, 4, 3, 1, 3, 3, 1, 4, 3, 4, 4, 3, 1, 1, 1, 1, 0, 4, 2, 0, 4, 1, 2, 1, 1, 4, 2, 2, 4, 0, 0, 4, 2, 4, 2, 0, 0, 4, 0, 3, 4, 4, 4, 3, 1, 4, 1, 0, 3, 4, 1, 1, 3, 1, 0, 2, 4, 1, 3, 3, 3, 0, 4, 3, 0, 3, 0, 1, 3, 2, 0, 4, 3, 4, 4, 2, 3, 2, 3, 1, 2, 4, 1, 2, 2, 0, 0, 2, 4, 3, 0, 2, 0, 4, 0, 4, 3, 4, 2, 0, 2, 3, 2, 3, 2, 2, 3, 3, 3, 0, 2, 2, 3, 2, 3, 3, 3, 3, 2, 3, 4, 4, 0, 0, 2, 3, 2, 1, 1, 2, 3, 3, 3, 1, 2, 0, 2, 2, 2, 1, 1, 3, 0, 4, 0, 4, 1, 4, 4, 2, 1, 0, 3, 2, 1, 3, 2, 0, 2, 3, 4, 2, 4, 2, 2, 4, 2, 4, 3, 0, 0, 0, 0, 2, 2, 3, 0, 3, 3, 3, 1, 0, 2, 1, 1, 4, 0, 0, 2, 2, 3, 0, 2, 2, 4, 0, 3, 3, 1, 3, 2, 3, 0, 1, 2, 4, 2, 2, 0, 0, 2, 2, 3, 1, 0, 0, 1, 4, 0, 3, 1, 1, 0, 4, 2, 2, 3, 3, 2, 0, 1, 2, 2, 4, 3, 0, 0, 0, 2, 2, 3, 0, 3, 3, 4, 0, 2, 4, 4, 1, 1, 4, 3, 4, 3, 1, 0, 3, 1, 4, 3, 3, 3, 4, 2, 2, 0, 4, 0, 0, 2, 2] pubkeycol718 = [1, 0, 4, 3, 3, 3, 4, 2, 4, 3, 4, 0, 0, 3, 1, 2, 3, 3, 1, 3, 3, 2, 3, 0, 0, 3, 2, 1, 2, 1, 0, 1, 3, 0, 0, 4, 1, 3, 1, 3, 4, 2, 4, 0, 2, 2, 1, 2, 2, 3, 0, 3, 1, 0, 4, 4, 1, 2, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 1, 3, 3, 2, 4, 3, 0, 1, 1, 2, 2, 1, 0, 1, 3, 2, 1, 0, 3, 2, 3, 3, 1, 1, 4, 3, 1, 2, 1, 1, 4, 0, 4, 3, 3, 4, 0, 3, 4, 0, 4, 2, 3, 4, 2, 2, 2, 3, 0, 2, 0, 0, 3, 3, 4, 1, 0, 1, 3, 1, 4, 3, 1, 3, 4, 4, 0, 3, 0, 0, 4, 1, 3, 2, 1, 0, 4, 4, 1, 3, 0, 1, 0, 0, 4, 2, 3, 2, 1, 0, 3, 0, 1, 2, 2, 3, 0, 0, 2, 4, 0, 1, 1, 4, 0, 0, 3, 2, 1, 1, 3, 1, 2, 4, 2, 1, 4, 1, 3, 4, 0, 0, 3, 1, 0, 1, 2, 0, 3, 4, 1, 4, 4, 3, 0, 0, 2, 3, 4, 3, 0, 2, 4, 2, 2, 4, 0, 1, 2, 4, 4, 0, 4, 1, 2, 2, 1, 2, 2, 3, 3, 2, 1, 0, 4, 4, 2, 3, 4, 4, 3, 0, 0, 4, 0, 3, 1, 4, 1, 3, 4, 2, 4, 2, 3, 2, 1, 4, 3, 0, 1, 2, 0, 4, 4, 0, 0, 2, 0, 0, 1, 2, 3, 0, 2, 0, 4, 1, 4, 3, 3, 1, 3, 1, 1, 0, 4, 0, 3, 4, 4, 0, 4, 4, 3, 0, 2, 0, 1, 1, 0, 0, 1, 4, 4, 1, 0, 2, 4, 0, 1, 4, 4, 3, 1, 1, 3, 3, 2, 4, 0, 3, 0, 0, 3, 2, 4, 0, 1, 2, 4, 4, 4, 2, 0, 0, 3, 2, 1, 1, 2, 3, 2, 0, 1, 1, 2, 1, 3, 0, 0, 2, 3, 2, 4, 1, 1, 2, 1, 3, 4, 0, 4, 2, 3, 2, 0, 3, 4, 2, 1, 2, 4, 0, 4, 2, 3, 4, 3, 0, 4, 2, 1, 1, 3, 3, 0, 0, 2, 1, 3, 0, 4, 1, 4, 3, 1, 0, 0, 3, 3, 1] pubkeycol719 = [4, 4, 2, 3, 2, 1, 3, 3, 3, 3, 2, 2, 4, 1, 3, 2, 1, 3, 2, 4, 3, 2, 2, 1, 3, 3, 3, 0, 3, 4, 2, 3, 1, 0, 3, 1, 3, 3, 2, 3, 2, 2, 2, 4, 2, 1, 1, 2, 4, 1, 1, 3, 4, 3, 2, 1, 2, 2, 4, 0, 4, 4, 3, 3, 1, 2, 3, 0, 3, 1, 4, 2, 2, 3, 4, 2, 1, 2, 3, 1, 1, 2, 0, 4, 3, 2, 0, 2, 0, 3, 1, 3, 3, 0, 1, 0, 0, 3, 1, 4, 1, 3, 1, 3, 2, 1, 0, 1, 0, 4, 2, 1, 1, 0, 3, 0, 0, 2, 4, 0, 1, 1, 2, 0, 2, 4, 4, 0, 1, 2, 1, 4, 4, 3, 2, 0, 2, 3, 2, 3, 0, 3, 3, 4, 3, 0, 3, 3, 2, 2, 4, 3, 4, 0, 3, 0, 1, 4, 4, 0, 3, 3, 1, 0, 4, 0, 1, 1, 0, 4, 3, 3, 1, 4, 0, 4, 2, 4, 3, 0, 1, 3, 4, 0, 2, 4, 2, 1, 4, 0, 1, 3, 4, 4, 0, 2, 2, 1, 0, 3, 4, 4, 0, 3, 4, 0, 4, 4, 2, 2, 2, 4, 2, 2, 2, 3, 4, 3, 4, 3, 1, 1, 2, 1, 4, 4, 2, 0, 0, 0, 1, 2, 4, 3, 3, 0, 0, 1, 1, 1, 4, 2, 3, 1, 3, 1, 1, 4, 1, 3, 4, 2, 3, 4, 4, 3, 1, 3, 2, 0, 4, 1, 1, 3, 2, 2, 3, 4, 4, 2, 3, 1, 0, 4, 1, 3, 0, 2, 1, 4, 0, 4, 3, 3, 3, 3, 4, 4, 1, 3, 4, 3, 4, 2, 0, 3, 4, 2, 4, 3, 4, 1, 1, 2, 3, 3, 2, 2, 1, 2, 4, 3, 1, 3, 2, 4, 3, 0, 1, 0, 3, 0, 3, 1, 3, 2, 1, 2, 2, 0, 2, 4, 2, 3, 1, 2, 0, 3, 1, 4, 4, 3, 0, 0, 3, 0, 0, 4, 3, 3, 1, 3, 2, 4, 1, 0, 0, 2, 0, 4, 2, 2, 2, 2, 4, 1, 2, 4, 3, 0, 3, 2, 4, 1, 4, 2, 3, 2, 1, 0, 1, 3, 3, 1, 3, 3, 4, 4, 1, 0, 4, 0, 1, 4, 2, 0, 3, 0, 0, 0] pubkeycol720 = [3, 4, 0, 4, 4, 3, 3, 3, 3, 2, 3, 0, 1, 4, 0, 4, 2, 3, 1, 2, 0, 4, 3, 2, 2, 2, 2, 4, 3, 3, 2, 1, 0, 2, 0, 1, 0, 0, 2, 4, 2, 3, 3, 1, 4, 0, 4, 2, 0, 4, 4, 1, 1, 1, 4, 2, 0, 0, 3, 0, 1, 4, 1, 1, 1, 0, 4, 1, 3, 1, 3, 1, 3, 1, 0, 3, 3, 4, 3, 0, 2, 4, 4, 4, 2, 1, 3, 2, 0, 1, 4, 4, 4, 2, 0, 0, 1, 4, 1, 4, 0, 4, 4, 4, 0, 1, 1, 2, 0, 4, 1, 4, 4, 3, 4, 3, 2, 2, 2, 4, 3, 4, 0, 2, 4, 3, 2, 1, 4, 2, 4, 2, 3, 4, 0, 1, 0, 3, 4, 1, 1, 4, 0, 3, 4, 3, 0, 0, 0, 0, 4, 2, 4, 2, 0, 2, 1, 4, 2, 3, 1, 2, 2, 1, 0, 4, 1, 3, 4, 3, 1, 0, 4, 3, 4, 2, 3, 0, 0, 3, 1, 3, 4, 3, 3, 0, 2, 1, 2, 3, 1, 0, 0, 3, 3, 1, 1, 4, 4, 3, 1, 0, 3, 2, 2, 0, 3, 2, 2, 0, 4, 3, 2, 4, 3, 3, 1, 1, 4, 1, 0, 4, 1, 1, 0, 3, 0, 1, 2, 1, 3, 3, 2, 0, 1, 2, 0, 2, 3, 3, 0, 1, 4, 0, 3, 3, 0, 1, 2, 2, 0, 2, 0, 3, 0, 2, 2, 2, 0, 0, 0, 1, 2, 4, 0, 0, 1, 1, 1, 0, 2, 3, 4, 3, 4, 3, 1, 2, 4, 1, 4, 2, 3, 4, 3, 4, 1, 2, 4, 2, 2, 0, 0, 1, 3, 0, 1, 4, 1, 4, 4, 1, 4, 3, 1, 1, 4, 1, 1, 4, 4, 2, 0, 4, 3, 4, 0, 2, 3, 0, 4, 1, 2, 3, 3, 4, 2, 1, 2, 0, 1, 4, 0, 3, 4, 3, 3, 1, 2, 0, 1, 2, 3, 1, 3, 0, 2, 2, 3, 0, 4, 0, 4, 0, 4, 3, 3, 3, 3, 2, 4, 3, 0, 0, 4, 1, 0, 2, 0, 4, 3, 0, 1, 1, 0, 3, 0, 3, 2, 3, 4, 3, 4, 0, 2, 2, 2, 0, 1, 0, 0, 2, 4, 1, 0, 3, 2, 0, 4, 0] pubkeycol721 = [3, 3, 3, 0, 3, 0, 2, 2, 1, 2, 4, 1, 4, 0, 0, 2, 3, 4, 0, 3, 1, 3, 0, 1, 0, 2, 2, 3, 2, 0, 0, 4, 4, 0, 1, 3, 1, 1, 2, 0, 1, 1, 0, 4, 4, 3, 1, 4, 3, 2, 0, 3, 4, 2, 4, 2, 1, 4, 0, 0, 0, 4, 1, 0, 3, 4, 2, 3, 0, 2, 1, 1, 2, 3, 1, 4, 2, 3, 2, 3, 0, 3, 1, 2, 2, 0, 0, 2, 1, 1, 2, 3, 0, 3, 0, 4, 0, 2, 4, 0, 2, 0, 1, 0, 2, 4, 0, 3, 2, 3, 0, 0, 4, 3, 0, 1, 4, 3, 2, 2, 2, 4, 4, 4, 3, 4, 3, 4, 4, 4, 1, 2, 3, 3, 3, 3, 4, 0, 0, 1, 4, 0, 4, 2, 4, 3, 1, 3, 1, 1, 0, 1, 3, 4, 2, 1, 1, 4, 1, 1, 0, 2, 4, 0, 1, 3, 1, 1, 0, 0, 1, 0, 1, 3, 1, 4, 4, 3, 1, 1, 1, 1, 4, 0, 3, 4, 4, 2, 0, 4, 0, 3, 2, 3, 3, 0, 2, 0, 4, 2, 3, 2, 0, 2, 4, 2, 2, 1, 3, 3, 4, 2, 3, 1, 2, 3, 1, 2, 3, 4, 1, 4, 4, 4, 1, 2, 3, 3, 3, 4, 2, 3, 4, 3, 1, 4, 2, 1, 4, 1, 3, 1, 0, 2, 1, 2, 3, 1, 0, 4, 3, 4, 1, 0, 3, 3, 0, 2, 0, 3, 0, 2, 2, 2, 4, 4, 1, 3, 3, 4, 1, 1, 2, 3, 1, 4, 0, 0, 2, 0, 2, 2, 2, 3, 4, 3, 3, 3, 4, 4, 0, 4, 0, 1, 2, 2, 0, 1, 2, 4, 1, 1, 1, 2, 2, 4, 3, 0, 4, 0, 1, 0, 2, 2, 0, 4, 4, 3, 0, 2, 4, 4, 4, 0, 4, 2, 0, 1, 3, 3, 4, 1, 4, 2, 3, 4, 2, 1, 4, 2, 3, 4, 3, 1, 3, 4, 0, 3, 3, 4, 2, 1, 3, 1, 2, 4, 0, 3, 4, 4, 1, 4, 1, 3, 3, 1, 2, 4, 2, 1, 4, 3, 0, 3, 1, 1, 4, 3, 0, 1, 3, 4, 3, 4, 1, 2, 0, 2, 3, 1, 4, 0, 3, 0, 0, 4, 4, 0, 4, 2] pubkeycol722 = [0, 2, 2, 1, 0, 3, 0, 1, 0, 1, 3, 3, 4, 4, 1, 3, 1, 3, 2, 0, 1, 0, 1, 1, 3, 3, 1, 3, 2, 1, 1, 1, 4, 1, 0, 3, 2, 2, 0, 3, 1, 3, 4, 4, 2, 1, 0, 4, 2, 4, 2, 2, 4, 1, 1, 2, 1, 2, 2, 0, 3, 2, 0, 4, 3, 3, 3, 4, 4, 1, 4, 4, 4, 3, 0, 4, 4, 2, 2, 4, 4, 4, 3, 2, 4, 1, 3, 3, 2, 1, 4, 3, 0, 1, 2, 0, 2, 4, 0, 0, 2, 2, 1, 2, 0, 2, 4, 0, 4, 1, 3, 2, 3, 3, 1, 1, 3, 1, 0, 0, 1, 1, 0, 3, 3, 0, 1, 2, 2, 0, 1, 1, 0, 1, 3, 4, 0, 2, 3, 4, 1, 4, 4, 3, 0, 4, 3, 3, 0, 2, 1, 1, 4, 2, 3, 3, 4, 1, 2, 2, 2, 0, 4, 2, 0, 3, 0, 2, 3, 1, 0, 2, 1, 1, 0, 1, 1, 0, 4, 4, 4, 0, 3, 1, 3, 3, 4, 3, 1, 4, 1, 0, 4, 0, 4, 2, 2, 3, 0, 0, 3, 3, 3, 3, 4, 3, 1, 2, 3, 0, 4, 3, 1, 1, 1, 4, 4, 1, 2, 2, 3, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 3, 4, 3, 1, 0, 0, 3, 3, 0, 3, 4, 0, 2, 4, 4, 3, 4, 1, 1, 4, 0, 2, 3, 3, 4, 1, 4, 2, 1, 4, 4, 1, 2, 2, 1, 2, 4, 1, 4, 3, 2, 0, 0, 3, 4, 1, 1, 0, 2, 2, 1, 1, 0, 4, 1, 0, 3, 0, 0, 4, 2, 0, 4, 0, 3, 2, 1, 2, 1, 1, 4, 0, 2, 1, 0, 2, 2, 3, 2, 2, 3, 0, 0, 1, 4, 2, 3, 2, 3, 1, 2, 4, 0, 0, 0, 1, 1, 0, 4, 1, 4, 1, 4, 2, 2, 0, 4, 2, 1, 3, 4, 2, 2, 3, 1, 3, 0, 0, 0, 4, 0, 0, 0, 4, 3, 1, 4, 3, 2, 2, 2, 4, 2, 2, 1, 3, 2, 3, 0, 4, 2, 2, 3, 1, 4, 1, 0, 0, 2, 2, 0, 4, 2, 0, 3, 4, 3, 4, 0, 3, 1, 4, 2] pubkeycol723 = [3, 4, 0, 4, 1, 0, 0, 0, 4, 1, 3, 3, 3, 1, 2, 2, 2, 1, 1, 3, 3, 4, 4, 3, 2, 2, 0, 1, 3, 0, 4, 0, 3, 4, 0, 4, 3, 3, 1, 0, 2, 3, 2, 3, 2, 2, 1, 0, 2, 1, 4, 1, 3, 1, 4, 3, 4, 2, 4, 1, 4, 0, 2, 2, 1, 2, 1, 3, 2, 1, 3, 4, 1, 4, 1, 3, 4, 1, 0, 1, 2, 4, 3, 3, 3, 2, 4, 0, 3, 0, 2, 4, 1, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 3, 4, 2, 0, 0, 2, 3, 0, 4, 4, 2, 0, 3, 1, 2, 1, 3, 2, 3, 3, 2, 4, 0, 4, 2, 3, 2, 3, 1, 2, 2, 4, 1, 2, 2, 1, 1, 3, 4, 4, 3, 1, 1, 0, 3, 2, 4, 4, 1, 0, 4, 1, 1, 3, 1, 3, 1, 1, 0, 2, 2, 3, 1, 4, 4, 3, 0, 1, 1, 3, 2, 1, 3, 1, 0, 2, 4, 1, 0, 0, 2, 2, 0, 2, 3, 4, 1, 0, 3, 1, 3, 2, 4, 3, 2, 3, 3, 0, 3, 4, 2, 0, 1, 0, 4, 0, 3, 0, 2, 0, 0, 0, 1, 4, 2, 2, 2, 3, 4, 1, 1, 1, 4, 2, 2, 1, 4, 0, 2, 3, 3, 2, 0, 1, 4, 0, 2, 4, 3, 3, 1, 4, 2, 2, 2, 0, 2, 0, 4, 1, 4, 2, 4, 1, 3, 4, 3, 3, 3, 1, 4, 0, 3, 2, 2, 1, 3, 4, 4, 2, 0, 2, 2, 3, 1, 0, 0, 1, 4, 2, 1, 1, 2, 2, 0, 1, 4, 0, 0, 3, 4, 3, 4, 2, 1, 4, 0, 2, 1, 3, 0, 2, 1, 0, 1, 0, 4, 0, 3, 1, 3, 2, 1, 0, 2, 3, 2, 4, 4, 4, 3, 1, 2, 4, 1, 1, 0, 4, 2, 4, 2, 2, 4, 1, 1, 0, 0, 3, 0, 3, 2, 0, 0, 4, 3, 4, 0, 4, 4, 3, 0, 2, 1, 2, 1, 0, 4, 3, 4, 0, 2, 0, 3, 0, 3, 1, 4, 3, 2, 2, 2, 3, 1, 2, 4, 3, 0, 0, 4, 1, 4, 1, 1, 4, 2, 1, 4, 1, 0, 3, 2] pubkeycol724 = [3, 1, 0, 2, 0, 1, 0, 2, 1, 3, 4, 2, 3, 3, 1, 3, 3, 2, 0, 0, 1, 1, 4, 4, 1, 2, 3, 1, 1, 2, 0, 1, 4, 1, 1, 1, 0, 4, 0, 4, 0, 1, 3, 2, 4, 4, 0, 0, 1, 2, 3, 2, 0, 2, 2, 3, 3, 1, 3, 2, 3, 2, 4, 3, 0, 3, 2, 2, 1, 0, 4, 4, 3, 3, 2, 1, 2, 1, 3, 2, 1, 1, 0, 3, 0, 1, 0, 0, 3, 2, 1, 2, 0, 1, 3, 3, 4, 1, 1, 2, 0, 3, 2, 0, 2, 4, 2, 2, 2, 3, 3, 4, 0, 2, 0, 3, 3, 2, 3, 2, 0, 2, 2, 3, 4, 0, 2, 4, 4, 0, 0, 4, 3, 3, 4, 1, 1, 0, 1, 4, 2, 3, 2, 3, 0, 3, 3, 1, 1, 3, 2, 0, 4, 3, 2, 4, 2, 0, 2, 0, 2, 1, 2, 4, 4, 2, 4, 2, 4, 0, 2, 0, 2, 1, 1, 0, 3, 2, 0, 1, 3, 1, 1, 3, 1, 2, 1, 2, 1, 0, 1, 2, 4, 2, 1, 0, 0, 1, 4, 3, 4, 0, 2, 3, 4, 4, 4, 0, 0, 0, 0, 3, 4, 1, 1, 1, 4, 3, 4, 4, 3, 4, 0, 1, 0, 0, 3, 1, 0, 0, 2, 3, 0, 4, 3, 2, 2, 1, 3, 2, 4, 3, 4, 3, 0, 0, 1, 2, 0, 3, 4, 2, 4, 4, 2, 3, 1, 1, 1, 2, 3, 4, 3, 1, 1, 2, 3, 1, 4, 3, 2, 4, 0, 3, 0, 1, 2, 0, 3, 4, 0, 2, 2, 3, 3, 4, 3, 1, 3, 0, 3, 3, 0, 4, 4, 0, 2, 1, 2, 1, 2, 3, 2, 2, 0, 1, 4, 0, 0, 2, 3, 1, 0, 1, 2, 3, 0, 0, 3, 1, 1, 4, 4, 3, 3, 3, 0, 1, 1, 3, 2, 2, 2, 3, 4, 0, 4, 1, 3, 4, 3, 1, 4, 0, 2, 0, 2, 3, 3, 0, 0, 1, 4, 4, 3, 1, 0, 2, 1, 3, 3, 2, 4, 2, 3, 4, 3, 4, 4, 4, 3, 1, 4, 3, 1, 4, 4, 4, 3, 0, 1, 4, 2, 0, 3, 1, 2, 1, 2, 3, 3, 1, 4, 2, 2, 0, 0, 3, 4, 4] pubkeycol725 = [2, 1, 0, 0, 0, 4, 1, 1, 2, 4, 2, 2, 0, 4, 0, 4, 2, 3, 3, 0, 1, 4, 3, 4, 3, 3, 0, 1, 4, 4, 0, 1, 0, 2, 3, 4, 0, 4, 1, 1, 2, 3, 4, 2, 0, 1, 1, 2, 0, 2, 3, 2, 3, 1, 0, 3, 0, 1, 1, 3, 2, 3, 2, 2, 0, 3, 0, 0, 3, 3, 3, 0, 3, 4, 4, 4, 2, 3, 1, 3, 1, 3, 2, 4, 2, 1, 3, 3, 4, 0, 3, 0, 0, 0, 0, 2, 1, 1, 4, 3, 1, 0, 4, 1, 2, 0, 2, 3, 3, 2, 3, 2, 1, 3, 3, 2, 4, 4, 4, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 3, 1, 1, 3, 3, 3, 0, 0, 2, 2, 3, 2, 1, 4, 3, 0, 0, 1, 1, 3, 4, 0, 0, 1, 1, 1, 4, 4, 3, 0, 4, 3, 1, 1, 1, 4, 4, 3, 2, 1, 3, 2, 1, 4, 3, 3, 4, 3, 0, 3, 1, 1, 1, 1, 2, 3, 3, 1, 0, 3, 3, 3, 0, 4, 4, 4, 4, 1, 2, 1, 2, 3, 3, 0, 0, 4, 0, 3, 4, 3, 2, 0, 3, 2, 4, 1, 2, 2, 3, 0, 4, 3, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 3, 1, 4, 0, 2, 0, 1, 0, 1, 3, 0, 2, 2, 3, 4, 3, 2, 2, 1, 2, 3, 2, 2, 3, 0, 1, 2, 1, 3, 4, 4, 3, 2, 3, 0, 2, 0, 2, 1, 3, 4, 4, 3, 0, 2, 4, 3, 0, 0, 3, 4, 1, 1, 3, 1, 2, 4, 1, 2, 4, 3, 0, 4, 0, 1, 4, 1, 1, 1, 1, 4, 1, 0, 4, 3, 4, 1, 1, 2, 4, 2, 3, 1, 2, 3, 3, 1, 3, 0, 1, 2, 2, 0, 3, 1, 0, 3, 1, 0, 1, 1, 1, 2, 2, 1, 4, 4, 3, 4, 4, 4, 3, 4, 2, 3, 1, 2, 1, 3, 2, 1, 3, 3, 4, 0, 3, 3, 3, 2, 0, 4, 4, 0, 1, 0, 3, 3, 3, 0, 3, 3, 1, 2, 1, 3, 2, 4, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 3, 3, 2, 3, 1, 0, 0, 2, 3] pubkeycol726 = [2, 4, 1, 3, 4, 3, 4, 4, 1, 3, 1, 2, 3, 1, 3, 3, 0, 2, 1, 4, 1, 2, 1, 4, 2, 3, 4, 1, 0, 4, 2, 1, 0, 1, 0, 4, 3, 2, 1, 4, 4, 0, 4, 0, 3, 2, 4, 4, 3, 3, 3, 1, 2, 0, 2, 0, 2, 1, 4, 3, 4, 4, 2, 3, 2, 1, 0, 3, 2, 3, 4, 2, 4, 0, 1, 3, 0, 2, 3, 2, 1, 4, 0, 3, 3, 4, 4, 1, 4, 4, 1, 3, 0, 0, 2, 1, 3, 4, 0, 4, 0, 3, 0, 3, 3, 3, 1, 4, 0, 3, 3, 2, 4, 0, 4, 2, 0, 4, 4, 0, 0, 3, 3, 2, 2, 1, 3, 0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 4, 1, 2, 2, 1, 2, 4, 3, 0, 4, 0, 1, 4, 0, 3, 1, 1, 4, 2, 2, 1, 1, 0, 1, 2, 2, 4, 3, 3, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 3, 0, 1, 0, 2, 0, 2, 0, 2, 2, 4, 1, 1, 4, 4, 1, 3, 0, 1, 1, 2, 2, 3, 4, 3, 3, 0, 0, 1, 0, 3, 2, 1, 4, 2, 3, 1, 0, 1, 4, 1, 4, 3, 0, 0, 4, 4, 1, 4, 3, 4, 2, 4, 1, 3, 3, 4, 2, 2, 2, 3, 0, 2, 1, 2, 3, 1, 3, 1, 1, 3, 1, 0, 2, 0, 4, 1, 2, 1, 1, 0, 2, 3, 2, 3, 4, 0, 1, 0, 2, 4, 3, 0, 1, 0, 1, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 0, 3, 0, 3, 4, 1, 4, 2, 2, 3, 4, 0, 1, 1, 3, 2, 3, 3, 4, 4, 4, 3, 2, 2, 1, 2, 3, 1, 4, 2, 4, 2, 0, 0, 2, 2, 1, 4, 1, 1, 1, 4, 2, 4, 2, 1, 4, 1, 2, 0, 3, 1, 2, 0, 1, 1, 4, 2, 0, 0, 3, 3, 3, 2, 2, 3, 4, 1, 4, 2, 3, 4, 3, 2, 4, 2, 3, 1, 1, 1, 3, 4, 4, 2, 1, 2, 4, 1, 1, 0, 3, 0, 1, 3, 3, 0, 4, 2, 4, 2, 2, 0, 2, 2, 2, 0, 1, 3, 4, 2, 0, 0, 2, 4, 1, 4, 4, 4] pubkeycol727 = [0, 2, 1, 2, 4, 1, 1, 4, 2, 2, 4, 3, 1, 4, 1, 2, 2, 0, 2, 1, 4, 3, 0, 3, 2, 4, 3, 0, 4, 3, 3, 2, 1, 4, 0, 4, 1, 1, 2, 0, 0, 2, 4, 0, 3, 1, 1, 3, 1, 4, 4, 1, 1, 3, 0, 1, 3, 1, 2, 0, 3, 3, 4, 4, 2, 1, 4, 2, 0, 3, 4, 2, 0, 0, 1, 2, 4, 0, 1, 0, 2, 0, 3, 1, 1, 0, 4, 3, 3, 3, 4, 3, 3, 1, 2, 4, 1, 1, 1, 1, 3, 4, 2, 0, 2, 3, 2, 2, 2, 4, 2, 4, 0, 1, 0, 0, 4, 3, 4, 3, 3, 4, 1, 3, 3, 1, 0, 4, 4, 3, 0, 3, 1, 4, 0, 0, 0, 0, 3, 4, 0, 0, 2, 0, 3, 2, 3, 2, 1, 1, 2, 2, 4, 0, 3, 0, 4, 0, 1, 2, 3, 3, 4, 3, 4, 1, 4, 1, 3, 4, 0, 3, 4, 3, 1, 0, 0, 0, 2, 0, 1, 2, 3, 2, 4, 1, 0, 1, 3, 3, 3, 4, 2, 4, 3, 3, 4, 2, 2, 0, 3, 1, 2, 1, 0, 1, 2, 1, 3, 1, 0, 3, 1, 0, 3, 4, 0, 4, 0, 2, 2, 3, 3, 1, 4, 2, 3, 1, 4, 2, 3, 1, 4, 3, 1, 2, 4, 3, 0, 2, 4, 4, 3, 1, 0, 4, 2, 1, 1, 1, 4, 2, 0, 1, 3, 1, 4, 0, 3, 4, 1, 2, 1, 3, 4, 4, 1, 3, 1, 1, 1, 4, 1, 0, 2, 4, 0, 2, 0, 4, 1, 0, 3, 3, 1, 3, 2, 1, 1, 1, 0, 0, 3, 3, 1, 3, 1, 3, 4, 1, 0, 1, 4, 2, 4, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 4, 3, 1, 0, 4, 1, 0, 3, 1, 2, 4, 0, 4, 3, 3, 0, 0, 4, 0, 1, 4, 3, 3, 4, 2, 1, 2, 1, 4, 0, 4, 4, 0, 3, 4, 4, 4, 0, 2, 1, 3, 2, 1, 2, 3, 3, 4, 3, 1, 0, 2, 2, 4, 3, 3, 3, 2, 2, 1, 0, 2, 2, 3, 4, 0, 3, 3, 4, 2, 3, 2, 3, 0, 3, 4, 3, 0, 0, 0, 1, 3, 2, 1, 3, 2] pubkeycol728 = [4, 3, 4, 4, 0, 4, 4, 0, 3, 1, 0, 1, 1, 1, 0, 4, 0, 1, 3, 1, 2, 2, 1, 3, 0, 3, 0, 1, 1, 4, 1, 1, 4, 2, 0, 1, 4, 1, 4, 2, 0, 0, 1, 0, 2, 0, 4, 1, 2, 0, 2, 1, 4, 1, 1, 0, 1, 0, 4, 0, 3, 3, 0, 4, 2, 1, 0, 2, 1, 1, 3, 3, 2, 0, 0, 1, 0, 2, 0, 3, 3, 4, 4, 0, 0, 2, 3, 3, 0, 4, 1, 3, 4, 4, 3, 1, 0, 1, 0, 2, 3, 4, 0, 1, 4, 1, 0, 1, 1, 2, 0, 1, 2, 2, 3, 0, 4, 3, 4, 3, 1, 2, 2, 1, 3, 1, 3, 0, 1, 1, 0, 3, 1, 0, 1, 0, 3, 3, 3, 1, 2, 0, 2, 0, 4, 4, 1, 0, 1, 3, 1, 0, 2, 0, 3, 4, 3, 1, 1, 1, 0, 3, 1, 3, 0, 1, 4, 3, 2, 1, 2, 1, 0, 0, 3, 0, 4, 0, 2, 3, 2, 4, 2, 4, 1, 4, 2, 2, 1, 4, 3, 4, 2, 3, 2, 4, 3, 4, 2, 4, 4, 4, 2, 4, 3, 1, 0, 0, 4, 0, 3, 3, 0, 4, 3, 3, 2, 3, 3, 2, 0, 0, 3, 1, 2, 1, 2, 4, 1, 1, 0, 1, 1, 2, 1, 1, 0, 3, 4, 0, 0, 2, 0, 0, 3, 0, 3, 0, 1, 2, 4, 4, 3, 4, 0, 3, 2, 2, 0, 0, 1, 3, 2, 4, 0, 3, 4, 4, 2, 3, 1, 2, 3, 4, 1, 2, 3, 2, 4, 4, 1, 3, 1, 3, 1, 2, 0, 4, 3, 0, 0, 1, 3, 1, 2, 2, 2, 3, 3, 2, 1, 3, 2, 4, 2, 3, 1, 1, 0, 1, 2, 1, 0, 0, 3, 0, 4, 1, 4, 4, 2, 4, 0, 2, 3, 4, 1, 4, 2, 1, 3, 0, 1, 3, 1, 1, 2, 0, 4, 4, 1, 0, 0, 3, 1, 3, 3, 1, 0, 3, 1, 1, 3, 1, 4, 2, 2, 2, 3, 3, 3, 2, 0, 2, 4, 4, 4, 2, 3, 0, 0, 3, 4, 1, 4, 3, 1, 2, 4, 4, 2, 4, 1, 2, 0, 0, 3, 2, 3, 3, 4, 3, 1, 3, 4, 2, 3, 4, 0, 4] pubkeycol729 = [2, 1, 0, 1, 3, 2, 0, 4, 2, 3, 0, 4, 4, 1, 3, 3, 4, 2, 4, 3, 2, 1, 0, 3, 4, 0, 4, 3, 1, 2, 0, 1, 0, 3, 4, 4, 3, 4, 4, 1, 4, 1, 4, 4, 2, 0, 3, 4, 4, 4, 1, 0, 0, 3, 3, 4, 1, 3, 3, 3, 0, 2, 1, 3, 3, 3, 1, 2, 2, 4, 0, 3, 4, 4, 3, 4, 1, 3, 3, 3, 2, 2, 2, 1, 4, 2, 1, 1, 2, 4, 1, 4, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 4, 1, 1, 0, 4, 3, 3, 0, 1, 3, 4, 0, 0, 0, 2, 0, 1, 4, 0, 2, 2, 4, 0, 1, 2, 1, 1, 2, 1, 4, 0, 1, 2, 1, 3, 2, 1, 4, 3, 0, 3, 0, 0, 2, 1, 3, 1, 3, 2, 2, 4, 0, 2, 4, 3, 3, 4, 2, 0, 2, 3, 3, 3, 2, 3, 4, 0, 2, 2, 0, 3, 0, 1, 1, 4, 3, 1, 3, 1, 2, 0, 2, 2, 4, 2, 2, 2, 4, 2, 4, 2, 0, 2, 2, 0, 4, 4, 2, 4, 2, 3, 2, 2, 2, 2, 3, 4, 4, 0, 1, 3, 2, 0, 2, 2, 3, 1, 3, 4, 3, 1, 2, 4, 3, 2, 2, 2, 2, 1, 2, 2, 1, 3, 3, 2, 3, 1, 1, 0, 3, 4, 4, 2, 1, 4, 2, 0, 4, 1, 2, 0, 1, 3, 4, 2, 4, 2, 4, 0, 1, 3, 2, 1, 0, 0, 0, 4, 4, 2, 1, 3, 2, 0, 3, 3, 1, 4, 2, 3, 4, 4, 3, 0, 3, 2, 4, 4, 1, 4, 1, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 1, 1, 1, 1, 1, 2, 0, 2, 3, 1, 1, 2, 4, 1, 2, 4, 2, 1, 3, 0, 2, 2, 4, 1, 1, 0, 2, 1, 4, 0, 3, 2, 4, 1, 4, 2, 4, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 3, 3, 4, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 1, 4, 3, 1, 0, 4, 4, 0, 1, 1, 2, 1, 1, 3, 1, 3, 3, 2, 1, 4, 2, 0, 2, 2, 1, 3, 4, 2, 4, 2] pubkeycol730 = [3, 3, 4, 3, 3, 0, 4, 4, 3, 2, 2, 3, 4, 3, 1, 1, 0, 4, 4, 4, 3, 3, 3, 2, 2, 1, 4, 3, 3, 0, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 0, 0, 4, 4, 3, 0, 4, 3, 1, 2, 1, 4, 1, 4, 2, 4, 1, 1, 1, 4, 2, 2, 1, 0, 4, 0, 2, 2, 0, 1, 1, 1, 4, 0, 2, 4, 2, 4, 0, 2, 4, 3, 3, 3, 0, 1, 2, 3, 1, 3, 3, 4, 3, 4, 4, 3, 4, 0, 2, 4, 3, 1, 0, 3, 4, 3, 3, 2, 0, 3, 2, 0, 3, 3, 2, 4, 0, 3, 4, 4, 2, 0, 0, 4, 0, 4, 4, 3, 2, 2, 3, 1, 3, 0, 3, 2, 0, 0, 1, 3, 3, 4, 0, 2, 2, 3, 1, 1, 2, 0, 3, 3, 2, 4, 4, 3, 3, 3, 4, 2, 3, 1, 4, 1, 4, 3, 4, 2, 3, 1, 2, 4, 0, 3, 3, 4, 0, 1, 3, 1, 3, 2, 0, 0, 4, 3, 2, 4, 1, 4, 2, 2, 3, 4, 1, 4, 4, 3, 1, 3, 4, 4, 2, 0, 2, 4, 4, 0, 1, 1, 3, 1, 4, 0, 2, 0, 2, 4, 1, 0, 1, 4, 4, 2, 1, 4, 0, 1, 4, 0, 4, 1, 1, 3, 2, 3, 0, 4, 4, 0, 4, 4, 0, 3, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 4, 1, 3, 1, 3, 1, 1, 0, 0, 2, 3, 1, 3, 3, 0, 1, 0, 0, 3, 2, 1, 4, 2, 2, 4, 1, 1, 0, 1, 1, 3, 4, 2, 2, 2, 4, 0, 2, 3, 3, 3, 1, 4, 1, 4, 3, 3, 1, 3, 1, 3, 4, 1, 2, 1, 3, 2, 4, 1, 4, 0, 0, 4, 2, 2, 3, 1, 0, 2, 0, 4, 2, 2, 3, 2, 0, 1, 1, 4, 0, 2, 4, 4, 4, 1, 1, 3, 4, 0, 2, 0, 3, 4, 2, 1, 1, 3, 4, 0, 0, 1, 3, 4, 0, 2, 3, 1, 0, 3, 1, 0, 2, 3, 3, 3, 0, 3, 4, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 3, 1, 1, 1, 0, 1, 0, 1, 1, 3, 3, 3, 2, 4, 3, 4] pubkeycol731 = [2, 0, 2, 4, 0, 0, 1, 0, 4, 3, 3, 1, 3, 3, 2, 4, 0, 2, 0, 2, 4, 4, 1, 0, 3, 3, 4, 0, 3, 1, 1, 0, 3, 4, 1, 1, 2, 0, 1, 1, 4, 1, 1, 1, 2, 2, 4, 1, 0, 4, 1, 3, 3, 3, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 3, 2, 0, 3, 4, 4, 0, 0, 0, 4, 4, 2, 3, 2, 3, 1, 2, 0, 3, 1, 3, 0, 2, 0, 3, 3, 2, 2, 3, 4, 3, 1, 4, 4, 4, 3, 0, 1, 0, 4, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 3, 1, 4, 1, 4, 4, 4, 1, 2, 1, 0, 3, 4, 4, 1, 4, 2, 2, 0, 2, 1, 0, 3, 2, 1, 4, 3, 3, 3, 3, 1, 1, 1, 0, 2, 4, 1, 2, 1, 2, 4, 2, 3, 2, 3, 0, 3, 1, 0, 4, 2, 3, 3, 1, 2, 2, 4, 0, 3, 0, 0, 0, 4, 3, 2, 0, 4, 3, 3, 3, 3, 3, 1, 4, 2, 2, 2, 4, 0, 2, 4, 0, 1, 4, 1, 1, 3, 0, 2, 4, 2, 3, 0, 1, 4, 2, 3, 0, 3, 4, 0, 3, 1, 2, 2, 1, 2, 4, 0, 0, 4, 4, 2, 1, 4, 4, 2, 4, 4, 2, 2, 2, 4, 1, 1, 2, 2, 1, 4, 0, 4, 2, 4, 1, 1, 2, 3, 0, 1, 0, 4, 3, 3, 0, 1, 0, 3, 0, 3, 1, 4, 1, 4, 3, 4, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 0, 4, 1, 2, 2, 1, 1, 4, 0, 2, 1, 1, 2, 1, 4, 0, 1, 3, 3, 4, 2, 3, 2, 0, 4, 0, 4, 4, 4, 2, 2, 3, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 4, 2, 1, 3, 1, 2, 2, 1, 0, 1, 4, 0, 4, 4, 4, 3, 4, 1, 3, 4, 3, 3, 4, 0, 3, 4, 1, 3, 1, 0, 0, 3, 2, 1, 0, 3, 0, 0, 0, 2, 0, 1, 1, 4, 3, 3, 4, 4, 0, 2, 3, 1, 2, 3, 0, 3, 4, 0, 2, 0, 4, 1, 3, 4, 2, 1, 4, 4, 3, 4, 2, 4, 2, 1, 0, 2] pubkeycol732 = [0, 1, 3, 1, 3, 2, 1, 3, 0, 1, 3, 4, 1, 0, 1, 1, 4, 3, 0, 4, 4, 3, 4, 1, 3, 3, 0, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 1, 2, 3, 4, 4, 0, 2, 2, 3, 3, 0, 0, 0, 4, 4, 1, 3, 2, 2, 0, 1, 4, 2, 0, 0, 0, 3, 4, 3, 1, 0, 0, 0, 2, 2, 1, 4, 3, 4, 0, 4, 1, 1, 3, 0, 4, 3, 2, 2, 2, 1, 2, 0, 3, 3, 4, 1, 0, 1, 1, 0, 1, 1, 4, 2, 4, 3, 4, 1, 3, 0, 3, 0, 2, 0, 3, 0, 2, 2, 2, 1, 4, 2, 2, 4, 1, 1, 3, 2, 0, 2, 2, 1, 3, 3, 0, 4, 1, 2, 0, 2, 3, 3, 1, 0, 4, 3, 1, 3, 3, 1, 0, 3, 2, 2, 0, 0, 1, 2, 4, 3, 3, 0, 1, 1, 4, 0, 3, 4, 1, 0, 3, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 3, 2, 2, 0, 3, 4, 0, 0, 0, 3, 4, 3, 2, 0, 4, 1, 3, 4, 1, 4, 2, 4, 1, 1, 3, 0, 4, 3, 3, 2, 4, 2, 2, 2, 2, 1, 1, 2, 1, 0, 4, 0, 0, 0, 4, 3, 2, 2, 1, 2, 2, 0, 3, 2, 2, 1, 3, 3, 3, 4, 2, 2, 0, 1, 4, 4, 4, 0, 4, 2, 0, 0, 3, 1, 1, 3, 1, 2, 2, 4, 0, 2, 4, 0, 1, 2, 3, 1, 0, 1, 2, 0, 2, 1, 1, 2, 3, 3, 3, 3, 3, 4, 1, 3, 4, 3, 3, 2, 1, 0, 1, 3, 0, 2, 1, 0, 4, 0, 2, 2, 1, 3, 1, 3, 2, 2, 1, 4, 0, 0, 3, 4, 1, 4, 2, 3, 1, 0, 4, 0, 4, 0, 0, 3, 0, 3, 0, 4, 4, 1, 4, 2, 2, 0, 0, 3, 2, 3, 4, 1, 3, 2, 1, 2, 1, 3, 4, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 4, 0, 3, 1, 3, 0, 3, 3, 1, 0, 3, 2, 0, 4, 4, 3, 4, 2, 1, 0, 0, 4, 0, 3, 2, 0, 1, 4, 3, 4, 4, 0, 2, 2, 4, 3, 2, 3, 1, 0, 2, 2, 2, 2] pubkeycol733 = [3, 2, 1, 1, 2, 1, 4, 2, 2, 3, 1, 0, 3, 4, 2, 2, 0, 3, 2, 1, 4, 1, 2, 4, 3, 3, 0, 0, 3, 1, 1, 2, 2, 0, 1, 0, 3, 2, 2, 3, 3, 3, 4, 4, 4, 1, 0, 1, 1, 3, 4, 3, 3, 0, 1, 2, 4, 2, 3, 2, 4, 0, 3, 4, 2, 3, 4, 2, 0, 3, 0, 2, 3, 0, 4, 2, 3, 0, 4, 0, 0, 1, 2, 4, 4, 1, 0, 4, 2, 4, 2, 0, 0, 1, 1, 3, 3, 3, 0, 4, 2, 4, 4, 1, 1, 4, 3, 2, 0, 0, 0, 1, 0, 0, 4, 3, 0, 2, 4, 4, 2, 1, 0, 0, 1, 4, 3, 0, 1, 1, 4, 1, 1, 4, 3, 0, 1, 2, 2, 1, 0, 2, 4, 2, 2, 3, 1, 4, 0, 3, 2, 2, 2, 3, 3, 0, 3, 2, 4, 0, 0, 4, 0, 3, 2, 3, 3, 4, 0, 0, 0, 3, 2, 1, 2, 4, 3, 1, 3, 1, 1, 0, 1, 2, 0, 2, 1, 0, 4, 4, 0, 3, 3, 2, 3, 4, 2, 3, 0, 3, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 0, 4, 2, 4, 2, 0, 2, 4, 2, 2, 3, 2, 2, 1, 4, 1, 1, 0, 3, 0, 2, 4, 0, 2, 0, 3, 0, 2, 4, 4, 4, 3, 0, 0, 0, 4, 1, 4, 4, 0, 1, 1, 3, 2, 1, 0, 3, 3, 4, 0, 3, 1, 1, 1, 0, 2, 1, 3, 1, 2, 2, 0, 4, 1, 4, 3, 4, 1, 2, 1, 3, 0, 3, 3, 3, 2, 3, 1, 3, 3, 3, 4, 0, 2, 3, 1, 0, 3, 2, 4, 2, 1, 2, 3, 0, 2, 1, 2, 2, 1, 3, 2, 3, 2, 0, 2, 4, 4, 0, 1, 0, 3, 2, 0, 4, 2, 3, 3, 0, 3, 1, 4, 0, 0, 1, 3, 1, 2, 1, 2, 3, 0, 4, 2, 1, 4, 4, 2, 3, 3, 3, 0, 1, 3, 3, 1, 3, 0, 3, 4, 4, 2, 2, 4, 0, 1, 2, 0, 1, 4, 1, 2, 3, 3, 1, 1, 3, 1, 1, 2, 3, 4, 3, 2, 4, 4, 1, 3, 0, 3, 3, 1, 2, 4, 2, 0, 4, 3, 2, 3] pubkeycol734 = [4, 3, 4, 2, 1, 0, 2, 2, 1, 3, 3, 3, 3, 0, 0, 0, 4, 0, 2, 0, 0, 2, 2, 4, 1, 1, 4, 1, 2, 3, 1, 0, 4, 2, 3, 4, 2, 2, 1, 3, 2, 1, 2, 3, 0, 0, 4, 0, 1, 0, 2, 3, 2, 1, 1, 2, 0, 3, 2, 0, 0, 3, 0, 0, 3, 3, 1, 2, 4, 4, 3, 3, 2, 3, 1, 3, 4, 3, 3, 4, 0, 0, 2, 1, 2, 4, 1, 3, 2, 4, 1, 2, 1, 1, 2, 0, 3, 0, 0, 3, 2, 3, 4, 3, 1, 2, 1, 1, 1, 2, 3, 0, 1, 0, 1, 0, 4, 4, 1, 1, 4, 1, 0, 3, 3, 0, 1, 4, 3, 4, 0, 4, 4, 3, 4, 4, 1, 2, 1, 3, 3, 3, 4, 0, 4, 0, 4, 0, 3, 4, 4, 0, 1, 4, 3, 3, 2, 4, 2, 1, 2, 4, 2, 2, 3, 1, 3, 1, 4, 3, 2, 0, 4, 4, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 2, 4, 3, 1, 4, 2, 4, 2, 3, 4, 4, 3, 3, 4, 3, 0, 1, 0, 2, 4, 3, 2, 4, 0, 1, 4, 3, 4, 0, 3, 2, 2, 0, 0, 3, 0, 0, 1, 2, 2, 4, 4, 3, 1, 0, 4, 4, 0, 2, 3, 2, 3, 3, 4, 1, 1, 4, 4, 0, 4, 3, 4, 4, 4, 1, 0, 3, 4, 4, 2, 3, 0, 1, 3, 3, 3, 1, 0, 4, 2, 4, 3, 3, 4, 3, 4, 3, 1, 0, 0, 2, 1, 3, 1, 1, 2, 3, 4, 1, 0, 1, 1, 0, 4, 1, 3, 0, 0, 4, 0, 2, 3, 0, 4, 2, 3, 1, 0, 1, 1, 2, 3, 3, 1, 4, 1, 4, 1, 1, 2, 3, 4, 4, 3, 2, 0, 1, 1, 2, 4, 1, 1, 0, 4, 4, 2, 0, 2, 0, 4, 1, 2, 2, 1, 3, 0, 3, 1, 2, 0, 3, 2, 4, 1, 2, 2, 4, 2, 2, 3, 3, 1, 3, 2, 1, 4, 1, 1, 4, 0, 0, 4, 2, 2, 3, 2, 2, 3, 4, 2, 1, 0, 0, 4, 2, 2, 0, 4, 1, 1, 1, 0, 0, 2, 3, 3, 0, 4, 3, 0, 0, 1, 4, 4, 2] pubkeycol735 = [3, 0, 2, 0, 2, 3, 4, 0, 3, 2, 2, 2, 2, 1, 3, 4, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 4, 4, 3, 4, 3, 4, 3, 1, 4, 2, 3, 1, 4, 2, 0, 3, 4, 0, 2, 0, 4, 2, 3, 4, 3, 4, 4, 0, 1, 1, 1, 4, 0, 0, 4, 2, 0, 4, 1, 4, 3, 4, 3, 2, 4, 0, 2, 0, 0, 4, 2, 4, 2, 1, 2, 2, 4, 3, 4, 1, 3, 1, 1, 0, 4, 3, 3, 2, 0, 3, 1, 1, 2, 1, 3, 1, 4, 0, 2, 0, 0, 1, 1, 2, 2, 3, 2, 0, 3, 0, 0, 0, 2, 0, 2, 4, 2, 3, 3, 3, 4, 0, 1, 4, 3, 3, 4, 3, 2, 2, 0, 1, 2, 3, 0, 4, 2, 1, 4, 4, 1, 4, 3, 3, 4, 1, 1, 3, 2, 3, 2, 1, 3, 4, 1, 4, 4, 4, 4, 1, 4, 1, 0, 4, 4, 4, 0, 3, 1, 4, 1, 4, 4, 4, 4, 4, 3, 3, 2, 1, 2, 1, 4, 1, 4, 1, 0, 0, 4, 0, 0, 3, 3, 3, 4, 3, 0, 3, 1, 4, 1, 3, 3, 4, 4, 1, 1, 1, 1, 2, 1, 4, 1, 2, 4, 4, 0, 3, 1, 1, 2, 3, 2, 1, 1, 3, 3, 2, 1, 3, 3, 0, 1, 2, 3, 1, 4, 1, 0, 4, 0, 2, 3, 0, 0, 3, 4, 1, 2, 0, 0, 1, 4, 2, 0, 3, 0, 1, 4, 4, 3, 0, 4, 0, 4, 1, 1, 0, 2, 4, 4, 1, 4, 1, 4, 4, 0, 1, 3, 3, 0, 4, 0, 2, 3, 3, 3, 3, 1, 0, 2, 0, 1, 1, 0, 3, 1, 0, 3, 3, 1, 4, 0, 0, 3, 4, 2, 1, 4, 4, 4, 0, 3, 2, 3, 0, 2, 1, 0, 2, 1, 1, 4, 1, 3, 1, 2, 4, 4, 3, 2, 2, 4, 0, 3, 1, 0, 4, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 4, 1, 2, 1, 2, 1, 3, 0, 1, 2, 1, 1, 4, 3, 3, 2, 0, 0, 3, 2, 3, 2, 4, 3, 3, 0, 0, 0, 1, 2, 2, 3, 0, 4, 0, 0, 2, 0, 2, 0, 1, 4, 1] pubkeycol736 = [0, 4, 0, 2, 4, 4, 1, 1, 4, 2, 2, 0, 3, 4, 3, 1, 4, 1, 4, 4, 0, 1, 0, 3, 4, 4, 4, 3, 4, 3, 1, 3, 4, 4, 2, 4, 4, 3, 2, 0, 1, 4, 2, 2, 2, 1, 4, 3, 0, 2, 4, 1, 3, 0, 2, 1, 1, 1, 3, 2, 2, 0, 2, 3, 3, 0, 3, 4, 1, 2, 2, 1, 0, 3, 0, 2, 3, 2, 1, 1, 3, 2, 2, 4, 3, 4, 3, 2, 3, 1, 0, 1, 1, 1, 4, 0, 4, 4, 1, 4, 4, 2, 0, 4, 1, 4, 1, 3, 0, 2, 4, 0, 0, 4, 1, 2, 1, 4, 1, 2, 1, 0, 1, 1, 3, 0, 1, 2, 0, 4, 3, 4, 1, 4, 4, 3, 4, 4, 4, 2, 0, 2, 0, 0, 1, 4, 4, 4, 3, 4, 2, 3, 4, 3, 3, 0, 4, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 3, 3, 0, 4, 4, 1, 3, 1, 1, 3, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 3, 1, 4, 4, 3, 2, 1, 3, 3, 0, 3, 0, 3, 2, 3, 4, 1, 3, 0, 4, 0, 0, 2, 4, 4, 0, 4, 4, 3, 0, 4, 2, 4, 1, 1, 4, 1, 3, 4, 1, 1, 4, 3, 0, 1, 0, 2, 2, 3, 1, 3, 1, 2, 1, 1, 1, 3, 1, 1, 4, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 3, 4, 0, 4, 3, 3, 3, 1, 4, 0, 1, 4, 4, 0, 2, 4, 0, 0, 4, 3, 2, 4, 0, 4, 3, 2, 2, 3, 1, 3, 4, 2, 4, 3, 0, 1, 4, 1, 2, 3, 2, 3, 3, 4, 2, 0, 0, 2, 2, 1, 0, 0, 3, 2, 3, 0, 0, 1, 3, 3, 4, 1, 3, 3, 2, 3, 0, 3, 2, 0, 1, 3, 4, 0, 4, 2, 1, 1, 3, 4, 0, 1, 2, 3, 0, 0, 3, 0, 4, 1, 0, 0, 2, 1, 2, 4, 4, 1, 2, 2, 3, 1, 3, 1, 4, 2, 1, 2, 0, 1, 1, 2, 4, 0, 3, 4, 3, 0, 4, 2, 2, 2, 0, 3, 2, 0, 0, 2, 4, 2, 4, 1, 4, 4, 3, 2, 0, 1, 2, 4, 3] pubkeycol737 = [2, 1, 0, 0, 3, 1, 4, 4, 2, 2, 2, 3, 2, 4, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 4, 3, 2, 3, 0, 2, 3, 4, 3, 4, 0, 2, 4, 1, 0, 1, 0, 2, 2, 2, 2, 4, 1, 0, 1, 3, 2, 1, 0, 0, 1, 1, 4, 4, 3, 0, 1, 3, 4, 3, 2, 0, 1, 4, 4, 1, 3, 2, 4, 2, 1, 3, 2, 3, 4, 1, 0, 1, 1, 0, 2, 0, 1, 4, 4, 4, 4, 1, 0, 2, 2, 3, 2, 3, 3, 4, 1, 0, 0, 1, 0, 1, 1, 3, 3, 1, 0, 3, 2, 2, 4, 3, 4, 1, 4, 3, 2, 0, 1, 2, 0, 0, 4, 1, 0, 4, 3, 1, 4, 0, 4, 0, 4, 2, 1, 1, 4, 4, 2, 3, 4, 4, 1, 2, 4, 4, 2, 0, 1, 1, 1, 0, 1, 1, 3, 3, 0, 3, 1, 0, 1, 2, 0, 4, 3, 2, 3, 0, 4, 2, 2, 2, 2, 2, 1, 4, 1, 1, 0, 1, 3, 2, 2, 4, 3, 2, 2, 0, 4, 1, 4, 0, 1, 0, 0, 2, 0, 1, 3, 3, 1, 0, 2, 4, 0, 4, 3, 3, 1, 0, 4, 0, 0, 1, 3, 2, 1, 0, 2, 0, 2, 4, 0, 2, 1, 0, 1, 2, 4, 2, 2, 0, 2, 0, 0, 1, 3, 3, 1, 2, 3, 0, 0, 3, 0, 1, 3, 3, 1, 1, 4, 3, 3, 1, 0, 3, 3, 4, 2, 1, 4, 3, 1, 3, 4, 1, 0, 2, 2, 0, 2, 2, 2, 3, 1, 3, 4, 2, 2, 4, 4, 4, 1, 1, 0, 4, 1, 2, 1, 3, 0, 3, 0, 2, 3, 2, 1, 1, 1, 0, 0, 0, 0, 4, 4, 3, 4, 3, 1, 1, 3, 0, 4, 0, 0, 1, 1, 1, 2, 4, 1, 2, 4, 3, 4, 1, 1, 0, 4, 0, 3, 1, 3, 0, 3, 3, 0, 3, 4, 0, 2, 2, 0, 0, 2, 0, 0, 3, 0, 4, 4, 1, 4, 3, 2, 4, 4, 1, 4, 4, 1, 4, 4, 1, 3, 1, 3, 4, 3, 2, 3, 1, 3, 1, 3, 2, 4, 3, 2, 4, 0, 0, 4, 3, 1, 1, 4, 3, 3, 3, 2] pubkeycol738 = [3, 0, 2, 0, 3, 4, 3, 0, 0, 1, 4, 3, 4, 0, 3, 3, 2, 0, 3, 4, 1, 0, 2, 1, 2, 3, 1, 3, 4, 1, 0, 3, 3, 2, 1, 3, 2, 0, 2, 3, 1, 3, 2, 4, 4, 0, 2, 1, 0, 2, 0, 3, 3, 1, 3, 2, 1, 4, 2, 4, 3, 1, 2, 3, 4, 2, 4, 0, 2, 1, 3, 2, 3, 2, 4, 1, 0, 3, 1, 1, 0, 3, 1, 1, 3, 0, 0, 0, 4, 0, 0, 4, 3, 1, 3, 2, 3, 3, 4, 1, 1, 4, 0, 3, 3, 4, 3, 3, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 4, 4, 0, 2, 2, 4, 3, 3, 3, 2, 4, 2, 4, 0, 0, 3, 1, 0, 1, 3, 0, 3, 2, 4, 3, 1, 2, 1, 3, 4, 3, 0, 4, 1, 0, 3, 1, 2, 3, 0, 0, 3, 0, 3, 0, 1, 3, 3, 4, 1, 4, 1, 4, 4, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 4, 3, 4, 3, 0, 1, 1, 0, 2, 2, 4, 1, 4, 1, 1, 4, 4, 3, 4, 4, 0, 1, 3, 1, 3, 3, 0, 3, 3, 4, 2, 4, 1, 4, 1, 4, 0, 2, 1, 3, 4, 3, 2, 4, 1, 4, 0, 1, 1, 2, 2, 3, 2, 0, 4, 3, 1, 2, 4, 1, 3, 0, 3, 2, 3, 4, 1, 0, 4, 2, 2, 2, 2, 2, 1, 4, 0, 0, 2, 3, 4, 2, 1, 1, 0, 1, 0, 3, 3, 1, 4, 3, 4, 3, 3, 2, 0, 2, 3, 3, 1, 1, 1, 3, 0, 3, 1, 4, 2, 4, 2, 4, 4, 1, 2, 3, 2, 4, 2, 0, 3, 1, 3, 3, 2, 3, 0, 2, 1, 4, 1, 2, 1, 3, 1, 4, 0, 2, 0, 1, 2, 2, 3, 2, 3, 2, 3, 2, 4, 3, 0, 1, 0, 3, 1, 1, 3, 4, 3, 2, 4, 0, 0, 2, 1, 4, 1, 3, 3, 2, 2, 1, 0, 3, 3, 2, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 3, 0, 1, 2, 2, 2, 4, 1, 1, 2, 2, 1, 2, 2, 0, 3, 4, 4, 2, 0, 4, 1, 1, 1, 4, 2, 2, 0, 4, 1, 0] pubkeycol739 = [2, 2, 1, 2, 4, 0, 3, 0, 0, 3, 2, 4, 2, 0, 2, 4, 4, 3, 0, 1, 1, 2, 1, 3, 0, 4, 2, 3, 2, 3, 1, 3, 2, 0, 3, 2, 3, 2, 4, 4, 2, 2, 1, 1, 2, 3, 1, 3, 4, 4, 0, 4, 4, 1, 3, 4, 3, 1, 0, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 4, 2, 4, 3, 2, 0, 1, 3, 3, 2, 4, 2, 1, 0, 4, 2, 2, 1, 4, 0, 1, 4, 4, 2, 3, 2, 3, 0, 0, 0, 1, 0, 3, 0, 2, 4, 0, 4, 3, 3, 2, 0, 1, 3, 0, 2, 0, 2, 3, 2, 2, 3, 0, 3, 0, 0, 4, 3, 2, 0, 2, 2, 2, 0, 3, 3, 1, 1, 0, 1, 4, 2, 0, 2, 1, 4, 0, 2, 0, 4, 1, 4, 3, 0, 1, 4, 1, 1, 0, 0, 0, 3, 4, 4, 0, 1, 1, 0, 1, 0, 3, 1, 0, 1, 3, 3, 4, 4, 3, 0, 2, 3, 3, 3, 0, 3, 0, 2, 3, 2, 0, 3, 4, 3, 2, 0, 2, 2, 1, 0, 0, 4, 2, 4, 2, 1, 4, 0, 1, 1, 3, 3, 3, 0, 0, 3, 0, 4, 4, 1, 3, 0, 4, 1, 3, 0, 3, 2, 4, 3, 3, 0, 2, 4, 3, 2, 3, 2, 3, 4, 2, 1, 3, 4, 0, 3, 0, 0, 0, 1, 4, 0, 3, 2, 1, 0, 2, 0, 4, 1, 0, 2, 0, 1, 3, 4, 1, 3, 3, 1, 1, 0, 4, 3, 0, 4, 4, 2, 1, 0, 2, 2, 1, 0, 0, 4, 2, 0, 2, 4, 0, 4, 4, 1, 4, 3, 2, 1, 0, 0, 4, 3, 4, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 4, 4, 2, 0, 0, 2, 0, 2, 1, 1, 4, 4, 4, 1, 3, 1, 3, 1, 2, 2, 0, 2, 4, 4, 1, 4, 4, 3, 4, 3, 3, 0, 1, 3, 0, 0, 0, 3, 3, 4, 2, 3, 3, 4, 3, 2, 3, 4, 0, 4, 0, 1, 4, 3, 2, 2, 0, 3, 4, 4, 1, 0, 0, 2, 4, 0, 1, 1, 1, 0, 2, 2, 1, 3, 0, 3, 3, 3, 1, 1, 2] pubkeycol740 = [4, 2, 4, 4, 2, 3, 3, 2, 4, 1, 3, 3, 1, 1, 0, 3, 0, 0, 1, 1, 3, 3, 0, 2, 2, 2, 0, 3, 3, 2, 4, 0, 2, 3, 1, 1, 0, 2, 1, 1, 4, 4, 3, 4, 4, 4, 1, 1, 4, 4, 2, 1, 0, 0, 1, 2, 4, 1, 0, 0, 0, 2, 3, 4, 2, 4, 4, 1, 3, 1, 1, 0, 4, 1, 1, 2, 3, 1, 1, 1, 4, 4, 1, 3, 0, 0, 3, 2, 2, 1, 1, 3, 2, 0, 4, 1, 0, 3, 0, 2, 4, 3, 0, 0, 1, 4, 4, 1, 3, 4, 2, 0, 4, 0, 1, 4, 2, 2, 0, 2, 3, 0, 4, 4, 3, 3, 2, 1, 2, 2, 2, 3, 2, 2, 2, 4, 1, 4, 0, 0, 2, 2, 1, 2, 1, 0, 2, 4, 0, 3, 4, 4, 4, 2, 3, 1, 1, 0, 2, 0, 3, 4, 3, 0, 4, 0, 0, 1, 2, 4, 0, 4, 2, 3, 3, 1, 2, 0, 4, 3, 1, 2, 2, 1, 2, 3, 2, 3, 0, 3, 2, 1, 3, 3, 4, 3, 2, 4, 1, 1, 2, 4, 4, 0, 3, 2, 0, 1, 1, 0, 3, 3, 1, 2, 2, 2, 2, 2, 2, 4, 0, 1, 2, 1, 0, 3, 2, 2, 1, 3, 4, 0, 1, 2, 4, 0, 3, 2, 3, 4, 2, 0, 4, 3, 2, 3, 4, 1, 1, 4, 2, 4, 0, 4, 2, 1, 2, 3, 1, 1, 1, 0, 1, 2, 2, 1, 3, 1, 1, 0, 4, 4, 4, 0, 1, 4, 0, 2, 1, 1, 2, 1, 4, 1, 0, 3, 1, 0, 0, 0, 3, 3, 2, 1, 1, 2, 4, 0, 4, 1, 3, 4, 1, 1, 0, 1, 4, 3, 2, 3, 3, 3, 2, 4, 1, 1, 0, 0, 0, 4, 1, 4, 0, 2, 2, 2, 3, 0, 4, 4, 2, 1, 4, 3, 1, 1, 2, 0, 0, 4, 0, 2, 3, 1, 1, 1, 4, 4, 0, 3, 1, 2, 2, 4, 1, 2, 0, 1, 3, 2, 2, 1, 3, 0, 3, 4, 1, 3, 4, 1, 2, 2, 3, 3, 1, 3, 3, 3, 2, 0, 3, 0, 0, 2, 0, 0, 2, 1, 4, 0, 4, 0, 2, 4, 1, 4, 2, 1, 1, 1] pubkeycol741 = [1, 2, 3, 2, 0, 3, 0, 3, 4, 0, 3, 2, 3, 4, 4, 1, 4, 3, 4, 0, 4, 3, 2, 4, 4, 1, 1, 0, 4, 3, 3, 4, 0, 1, 1, 1, 4, 0, 3, 3, 4, 0, 1, 0, 3, 4, 1, 3, 1, 0, 3, 1, 1, 0, 3, 1, 0, 1, 3, 4, 4, 4, 3, 3, 1, 3, 3, 3, 0, 1, 1, 3, 0, 4, 1, 4, 0, 3, 4, 1, 1, 3, 3, 0, 2, 3, 1, 2, 4, 0, 2, 1, 1, 3, 0, 4, 3, 4, 4, 0, 3, 4, 0, 4, 3, 1, 0, 4, 4, 2, 1, 3, 2, 4, 2, 0, 1, 0, 0, 3, 0, 2, 1, 0, 0, 1, 1, 4, 1, 1, 4, 1, 4, 0, 0, 0, 1, 1, 2, 4, 1, 3, 2, 2, 4, 4, 2, 1, 4, 0, 1, 3, 2, 4, 0, 3, 0, 2, 1, 4, 2, 4, 4, 0, 4, 2, 1, 3, 3, 3, 1, 3, 0, 4, 4, 4, 0, 2, 3, 1, 1, 3, 1, 0, 0, 1, 4, 1, 3, 4, 3, 2, 1, 4, 1, 0, 3, 1, 0, 3, 0, 3, 1, 3, 3, 1, 0, 3, 2, 1, 3, 2, 4, 1, 1, 1, 3, 2, 3, 4, 3, 0, 4, 4, 2, 2, 1, 4, 3, 1, 2, 3, 2, 3, 4, 2, 2, 3, 0, 0, 1, 2, 1, 4, 0, 2, 3, 4, 1, 0, 3, 1, 1, 3, 0, 4, 1, 1, 1, 3, 1, 4, 3, 0, 0, 0, 3, 4, 4, 0, 0, 1, 0, 3, 4, 3, 1, 3, 0, 3, 4, 3, 4, 3, 0, 0, 0, 4, 4, 3, 3, 0, 2, 0, 2, 2, 0, 0, 2, 3, 4, 4, 1, 2, 4, 3, 1, 3, 2, 2, 4, 3, 3, 1, 0, 0, 3, 2, 3, 0, 0, 2, 2, 2, 2, 3, 2, 4, 2, 1, 4, 2, 4, 4, 4, 0, 2, 2, 2, 3, 2, 3, 2, 4, 3, 2, 1, 4, 0, 3, 0, 3, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 3, 4, 2, 2, 0, 3, 1, 0, 1, 3, 1, 3, 0, 1, 1, 2, 1, 3, 0, 1, 1, 4, 3, 1, 1, 1, 3, 2, 1, 0, 2, 3, 1, 0, 2, 1, 4] pubkeycol742 = [2, 0, 0, 0, 4, 4, 1, 2, 1, 1, 2, 2, 1, 1, 2, 4, 2, 0, 3, 0, 4, 4, 1, 3, 3, 3, 2, 1, 4, 1, 2, 1, 2, 3, 3, 3, 3, 0, 0, 2, 3, 4, 0, 1, 1, 1, 4, 0, 0, 2, 1, 2, 4, 1, 0, 2, 0, 3, 3, 3, 1, 0, 3, 1, 2, 2, 3, 0, 2, 2, 1, 4, 0, 4, 4, 2, 0, 1, 1, 1, 3, 1, 2, 1, 2, 3, 0, 2, 0, 1, 2, 3, 0, 3, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 4, 4, 2, 0, 4, 0, 1, 4, 3, 2, 2, 4, 2, 3, 3, 4, 4, 2, 2, 2, 0, 4, 2, 4, 3, 1, 3, 0, 0, 4, 3, 4, 2, 3, 4, 2, 4, 2, 1, 3, 4, 3, 3, 1, 3, 4, 3, 2, 3, 4, 0, 0, 0, 3, 3, 3, 3, 4, 1, 0, 0, 4, 2, 4, 2, 3, 4, 3, 4, 4, 1, 1, 2, 0, 3, 0, 1, 4, 0, 4, 2, 4, 3, 0, 1, 3, 1, 2, 2, 1, 2, 4, 0, 2, 2, 3, 3, 3, 4, 2, 0, 3, 2, 0, 4, 4, 4, 3, 2, 2, 4, 3, 2, 4, 3, 0, 2, 3, 2, 1, 0, 2, 1, 1, 1, 0, 1, 3, 2, 2, 3, 0, 1, 3, 0, 3, 4, 2, 2, 1, 1, 3, 3, 2, 4, 1, 4, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 3, 3, 1, 4, 1, 2, 2, 2, 0, 1, 2, 0, 2, 3, 2, 3, 4, 4, 1, 0, 2, 1, 2, 1, 3, 1, 2, 4, 0, 4, 0, 1, 1, 3, 3, 2, 1, 3, 2, 3, 2, 1, 1, 1, 1, 4, 2, 0, 2, 2, 0, 2, 2, 2, 4, 1, 2, 4, 3, 0, 0, 3, 4, 2, 1, 0, 1, 1, 0, 3, 3, 0, 0, 1, 2, 1, 2, 4, 4, 4, 4, 1, 1, 2, 4, 1, 3, 3, 4, 1, 0, 1, 4, 3, 0, 4, 0, 4, 3, 4, 4, 4, 0, 1, 0, 4, 0, 2, 2, 0, 0, 0, 3, 0, 4, 1, 2, 3, 0, 4, 0, 4, 1, 0, 4, 1, 1, 4, 3, 2, 4, 2, 3, 0, 4, 3, 2, 3] pubkeycol743 = [4, 1, 3, 3, 3, 0, 4, 2, 1, 3, 3, 4, 4, 3, 0, 4, 1, 1, 4, 4, 1, 2, 3, 2, 3, 4, 2, 1, 0, 4, 4, 1, 2, 1, 2, 1, 0, 2, 3, 0, 2, 2, 4, 2, 1, 0, 2, 4, 3, 3, 2, 1, 2, 4, 3, 2, 4, 2, 2, 4, 0, 4, 4, 0, 4, 3, 4, 3, 4, 1, 4, 1, 2, 4, 3, 2, 1, 3, 2, 4, 2, 2, 4, 4, 1, 0, 0, 2, 4, 1, 2, 0, 4, 2, 0, 2, 4, 0, 4, 2, 3, 2, 0, 1, 2, 4, 2, 4, 0, 0, 4, 0, 4, 4, 2, 3, 0, 2, 4, 1, 4, 4, 0, 3, 1, 2, 4, 4, 1, 4, 0, 4, 2, 4, 2, 2, 2, 2, 0, 2, 4, 0, 1, 1, 4, 2, 1, 4, 0, 1, 1, 2, 3, 4, 3, 0, 4, 2, 4, 4, 4, 0, 1, 2, 1, 3, 2, 3, 4, 2, 2, 4, 3, 3, 1, 3, 1, 0, 4, 3, 1, 2, 1, 4, 0, 4, 2, 3, 0, 1, 1, 2, 4, 2, 4, 1, 1, 1, 4, 1, 0, 1, 2, 4, 2, 3, 3, 1, 1, 0, 0, 4, 1, 4, 4, 0, 1, 4, 4, 2, 0, 3, 4, 2, 0, 1, 0, 3, 2, 3, 2, 1, 1, 3, 0, 0, 2, 3, 0, 4, 3, 0, 1, 4, 4, 4, 0, 4, 2, 2, 2, 3, 4, 1, 0, 2, 3, 1, 0, 4, 3, 1, 2, 1, 1, 3, 3, 1, 4, 0, 1, 2, 0, 4, 3, 4, 4, 4, 3, 1, 4, 1, 3, 4, 0, 4, 2, 4, 1, 2, 3, 0, 1, 1, 2, 1, 0, 0, 2, 3, 4, 2, 2, 4, 2, 0, 1, 3, 1, 3, 2, 4, 1, 3, 4, 0, 4, 2, 1, 1, 4, 0, 2, 3, 2, 2, 3, 0, 3, 4, 1, 2, 2, 4, 4, 1, 1, 2, 0, 2, 3, 1, 3, 3, 4, 2, 3, 0, 3, 3, 0, 2, 1, 1, 2, 1, 2, 0, 3, 2, 1, 0, 0, 3, 2, 3, 4, 4, 0, 0, 1, 0, 1, 4, 1, 1, 3, 3, 3, 4, 2, 3, 1, 1, 1, 0, 1, 3, 3, 2, 2, 0, 1, 4, 0, 4, 2, 1, 0, 0] pubkeycol744 = [2, 3, 0, 3, 1, 1, 3, 0, 3, 0, 2, 3, 2, 3, 4, 1, 2, 3, 4, 0, 0, 0, 3, 0, 0, 4, 2, 4, 0, 4, 1, 3, 0, 2, 3, 2, 4, 3, 1, 2, 3, 3, 3, 3, 1, 4, 2, 1, 0, 4, 1, 4, 4, 0, 2, 4, 2, 1, 3, 2, 1, 3, 3, 1, 3, 2, 3, 2, 2, 4, 2, 0, 4, 1, 3, 2, 4, 2, 0, 4, 3, 0, 0, 0, 1, 1, 1, 3, 3, 2, 3, 1, 2, 4, 4, 0, 0, 4, 0, 2, 1, 4, 1, 3, 0, 4, 1, 3, 4, 2, 4, 0, 3, 2, 3, 3, 2, 2, 4, 1, 4, 0, 3, 2, 4, 3, 4, 4, 3, 2, 3, 0, 1, 1, 3, 0, 3, 0, 1, 4, 2, 1, 0, 2, 2, 4, 2, 3, 0, 3, 3, 4, 0, 2, 4, 1, 4, 0, 3, 4, 4, 2, 3, 1, 4, 4, 4, 3, 3, 1, 4, 2, 3, 2, 0, 4, 2, 3, 3, 2, 2, 2, 2, 0, 0, 2, 1, 4, 4, 1, 2, 2, 1, 4, 0, 3, 4, 1, 2, 1, 0, 4, 3, 0, 0, 3, 2, 3, 1, 3, 4, 0, 4, 4, 4, 3, 2, 1, 3, 0, 1, 0, 2, 3, 2, 3, 4, 2, 3, 1, 2, 3, 4, 1, 4, 1, 3, 4, 2, 0, 0, 2, 1, 3, 3, 3, 4, 1, 0, 4, 2, 1, 4, 1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 2, 4, 0, 2, 2, 0, 4, 3, 2, 4, 1, 3, 4, 1, 0, 4, 0, 0, 0, 0, 4, 3, 3, 1, 1, 0, 3, 1, 3, 3, 3, 3, 4, 3, 2, 1, 3, 2, 3, 2, 1, 4, 2, 1, 1, 3, 2, 4, 4, 1, 4, 4, 1, 3, 3, 4, 4, 1, 4, 0, 1, 2, 4, 2, 3, 0, 3, 3, 4, 0, 3, 3, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 3, 2, 4, 1, 0, 3, 4, 3, 4, 3, 4, 1, 1, 3, 0, 4, 1, 0, 2, 3, 4, 4, 1, 1, 1, 4, 2, 3, 1, 0, 0, 2, 0, 3, 3, 4, 1, 2, 3, 0, 1, 4, 1, 4, 1, 0, 1, 4, 4, 4, 1, 2, 2, 1] pubkeycol745 = [0, 0, 3, 0, 2, 2, 0, 1, 3, 0, 3, 0, 0, 4, 0, 0, 4, 4, 4, 1, 1, 3, 3, 3, 0, 0, 0, 3, 1, 0, 0, 3, 3, 4, 4, 0, 0, 1, 4, 3, 0, 2, 1, 1, 4, 1, 2, 3, 0, 2, 2, 3, 0, 2, 2, 1, 3, 4, 3, 0, 4, 0, 0, 1, 3, 4, 0, 3, 3, 0, 3, 0, 4, 0, 1, 0, 4, 0, 3, 4, 3, 3, 0, 1, 2, 4, 4, 1, 4, 3, 0, 2, 2, 1, 2, 2, 4, 4, 4, 3, 0, 3, 3, 2, 0, 2, 2, 4, 4, 3, 4, 1, 1, 1, 2, 4, 0, 0, 3, 1, 0, 4, 0, 0, 1, 1, 1, 4, 0, 3, 3, 0, 4, 1, 4, 0, 2, 4, 0, 4, 2, 0, 4, 4, 4, 3, 0, 3, 1, 3, 0, 4, 0, 1, 1, 3, 0, 2, 1, 4, 2, 4, 0, 0, 1, 1, 1, 1, 3, 0, 2, 3, 2, 2, 1, 0, 2, 4, 2, 3, 1, 3, 3, 0, 0, 3, 1, 4, 2, 4, 2, 3, 0, 0, 4, 1, 2, 4, 0, 2, 4, 0, 4, 4, 0, 4, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 3, 0, 4, 2, 2, 4, 2, 4, 3, 4, 1, 0, 3, 2, 4, 0, 3, 1, 4, 1, 2, 3, 2, 2, 4, 4, 4, 2, 0, 0, 1, 2, 2, 2, 3, 3, 3, 2, 4, 3, 4, 1, 0, 2, 4, 2, 1, 1, 1, 4, 1, 4, 3, 2, 1, 0, 2, 2, 4, 3, 3, 1, 1, 1, 1, 4, 3, 3, 3, 0, 0, 0, 3, 2, 3, 1, 0, 4, 4, 2, 2, 1, 0, 4, 2, 3, 3, 2, 3, 4, 1, 0, 2, 1, 2, 2, 0, 4, 0, 4, 3, 2, 4, 2, 4, 3, 2, 4, 0, 3, 3, 4, 2, 1, 3, 1, 0, 3, 2, 4, 3, 3, 0, 4, 1, 0, 3, 0, 2, 0, 0, 3, 0, 1, 0, 4, 4, 2, 2, 3, 0, 3, 4, 2, 0, 4, 1, 0, 2, 1, 1, 0, 3, 0, 4, 4, 1, 1, 1, 2, 4, 3, 3, 0, 4, 0, 4, 3, 2, 0, 4, 1, 1, 1, 3, 0, 1, 2, 3, 3, 2, 1, 3, 1] pubkeycol746 = [4, 4, 4, 3, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 1, 0, 3, 2, 1, 4, 3, 2, 2, 4, 4, 1, 2, 4, 2, 3, 3, 1, 1, 0, 3, 4, 4, 3, 0, 2, 0, 4, 1, 4, 1, 4, 0, 4, 2, 3, 1, 1, 3, 1, 0, 2, 2, 1, 4, 2, 3, 0, 2, 3, 4, 3, 0, 4, 2, 3, 4, 2, 0, 0, 3, 2, 4, 3, 4, 0, 0, 1, 0, 2, 0, 2, 1, 3, 3, 4, 4, 0, 2, 4, 3, 0, 2, 1, 4, 3, 4, 1, 3, 3, 1, 1, 4, 1, 0, 0, 4, 0, 0, 2, 4, 1, 2, 0, 0, 2, 4, 0, 4, 2, 4, 0, 2, 0, 2, 0, 1, 4, 0, 1, 4, 0, 3, 4, 0, 0, 1, 2, 2, 4, 0, 0, 0, 2, 1, 0, 3, 1, 3, 2, 4, 1, 1, 0, 2, 4, 2, 2, 2, 1, 2, 1, 4, 3, 2, 4, 3, 2, 4, 2, 3, 1, 2, 4, 4, 2, 3, 3, 4, 4, 3, 2, 2, 3, 0, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 1, 3, 1, 0, 2, 1, 1, 4, 0, 3, 0, 4, 0, 1, 3, 4, 1, 4, 3, 0, 2, 2, 1, 2, 2, 3, 4, 0, 1, 3, 4, 2, 4, 1, 3, 3, 1, 0, 4, 1, 1, 4, 3, 4, 4, 2, 1, 3, 1, 0, 1, 0, 4, 4, 1, 1, 2, 4, 1, 3, 1, 0, 2, 3, 3, 4, 1, 1, 4, 0, 2, 3, 2, 4, 4, 4, 4, 3, 0, 1, 1, 1, 3, 4, 3, 2, 0, 0, 2, 3, 3, 0, 3, 4, 0, 3, 2, 3, 0, 2, 2, 0, 4, 3, 3, 3, 3, 1, 4, 4, 3, 0, 3, 3, 2, 3, 1, 0, 4, 3, 2, 3, 4, 1, 1, 1, 4, 0, 3, 2, 3, 3, 1, 4, 3, 2, 0, 2, 2, 4, 3, 4, 2, 3, 1, 0, 2, 1, 4, 1, 2, 4, 3, 1, 4, 0, 3, 1, 3, 1, 4, 2, 1, 1, 4, 4, 0, 3, 3, 4, 4, 4, 1, 2, 1, 0, 4, 2, 0, 1, 2, 1, 3, 2, 2, 3, 0, 2, 1, 4, 0, 2, 4, 4, 0, 4] pubkeycol747 = [2, 0, 1, 2, 0, 4, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 3, 3, 2, 3, 4, 4, 1, 4, 0, 3, 2, 0, 2, 2, 4, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 4, 1, 4, 4, 3, 1, 0, 3, 2, 3, 0, 3, 2, 2, 3, 1, 2, 4, 1, 3, 2, 3, 2, 0, 4, 1, 1, 0, 3, 1, 3, 3, 2, 4, 3, 1, 1, 0, 2, 0, 1, 3, 0, 1, 0, 2, 1, 3, 3, 0, 1, 1, 4, 4, 3, 4, 0, 0, 4, 2, 1, 3, 4, 2, 4, 1, 0, 2, 2, 3, 1, 1, 4, 4, 1, 1, 0, 0, 3, 3, 1, 0, 4, 0, 4, 4, 4, 0, 0, 1, 4, 4, 2, 1, 1, 2, 2, 3, 1, 4, 2, 3, 2, 4, 2, 4, 1, 1, 1, 1, 4, 3, 0, 1, 3, 1, 3, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 0, 3, 4, 4, 0, 2, 1, 4, 0, 1, 2, 2, 0, 3, 1, 4, 4, 1, 1, 2, 3, 2, 3, 2, 2, 3, 4, 1, 1, 0, 0, 3, 2, 4, 1, 1, 4, 2, 2, 2, 2, 1, 3, 4, 3, 2, 1, 0, 2, 1, 0, 4, 2, 1, 0, 4, 0, 1, 4, 2, 0, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 0, 1, 1, 4, 0, 2, 0, 3, 2, 0, 3, 3, 1, 4, 1, 0, 1, 3, 2, 2, 4, 3, 2, 0, 0, 3, 4, 1, 3, 1, 3, 1, 1, 0, 1, 1, 3, 3, 4, 3, 0, 2, 4, 0, 0, 2, 4, 2, 4, 1, 4, 1, 2, 1, 4, 1, 3, 3, 0, 3, 1, 1, 2, 0, 4, 2, 2, 0, 1, 3, 2, 0, 3, 4, 2, 1, 4, 3, 1, 2, 1, 0, 4, 0, 4, 3, 1, 0, 1, 0, 0, 3, 1, 3, 2, 0, 3, 1, 3, 1, 2, 2, 3, 0, 3, 0, 0, 3, 0, 4, 4, 4, 0, 3, 2, 0, 4, 3, 0, 4, 1, 3, 1, 0, 1, 0, 2, 1, 1, 3, 1, 2, 4, 2, 3, 4, 4, 0, 1, 4] pubkeycol748 = [3, 0, 4, 1, 0, 1, 1, 1, 2, 0, 4, 2, 0, 4, 4, 4, 3, 2, 4, 1, 0, 1, 3, 2, 2, 0, 4, 2, 4, 1, 0, 1, 4, 4, 0, 4, 0, 1, 2, 2, 2, 0, 0, 1, 0, 3, 3, 3, 1, 1, 1, 4, 3, 1, 2, 1, 0, 4, 3, 3, 2, 2, 4, 0, 1, 0, 2, 3, 2, 2, 4, 2, 1, 0, 2, 3, 3, 1, 3, 3, 2, 3, 4, 0, 1, 0, 3, 4, 0, 2, 4, 3, 3, 3, 2, 2, 3, 1, 2, 0, 1, 2, 2, 1, 2, 4, 4, 1, 2, 1, 1, 3, 1, 2, 4, 4, 4, 4, 2, 1, 3, 0, 2, 4, 2, 2, 1, 4, 2, 4, 4, 2, 2, 2, 2, 0, 2, 1, 1, 2, 4, 1, 1, 4, 1, 3, 3, 1, 1, 4, 0, 2, 3, 2, 2, 2, 3, 0, 3, 2, 3, 2, 1, 1, 0, 1, 4, 2, 4, 1, 4, 4, 4, 1, 2, 0, 1, 2, 1, 4, 2, 3, 0, 3, 4, 2, 3, 0, 3, 3, 2, 3, 3, 3, 0, 1, 2, 1, 4, 4, 2, 0, 2, 0, 4, 4, 4, 2, 2, 3, 0, 4, 3, 1, 2, 3, 2, 3, 4, 0, 3, 2, 0, 1, 3, 0, 4, 0, 0, 1, 4, 0, 0, 1, 3, 4, 3, 1, 1, 1, 2, 0, 3, 1, 4, 4, 1, 4, 1, 1, 2, 2, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 3, 1, 4, 1, 3, 0, 0, 4, 2, 3, 1, 1, 2, 3, 0, 3, 3, 0, 1, 1, 0, 0, 4, 3, 2, 3, 2, 0, 4, 2, 2, 3, 3, 0, 4, 3, 3, 1, 0, 1, 3, 1, 1, 1, 0, 1, 3, 3, 0, 2, 4, 2, 1, 4, 4, 3, 4, 0, 3, 0, 1, 2, 3, 4, 1, 3, 3, 1, 1, 0, 1, 3, 3, 2, 4, 0, 3, 2, 3, 1, 1, 0, 0, 3, 2, 2, 0, 2, 4, 3, 2, 3, 3, 4, 4, 1, 0, 2, 3, 0, 2, 0, 0, 2, 0, 3, 4, 1, 0, 1, 1, 1, 4, 3, 3, 1, 4, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 4, 4, 3, 0, 2, 0, 2, 3] pubkeycol749 = [4, 3, 0, 0, 3, 4, 0, 4, 0, 2, 4, 4, 1, 2, 3, 3, 4, 3, 1, 1, 0, 1, 0, 1, 4, 1, 4, 4, 1, 0, 4, 0, 3, 2, 3, 2, 4, 3, 2, 0, 3, 4, 2, 1, 3, 0, 4, 2, 4, 2, 0, 0, 0, 0, 2, 1, 0, 3, 1, 3, 1, 4, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 3, 0, 2, 2, 0, 3, 0, 3, 1, 0, 4, 3, 4, 4, 1, 0, 1, 4, 0, 2, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 1, 4, 1, 3, 4, 1, 4, 1, 0, 3, 0, 0, 3, 0, 1, 0, 0, 1, 0, 3, 4, 3, 1, 2, 3, 4, 0, 3, 2, 1, 1, 1, 0, 3, 4, 1, 2, 3, 0, 1, 3, 1, 3, 1, 4, 3, 4, 3, 1, 2, 3, 2, 0, 4, 4, 3, 0, 0, 3, 2, 2, 2, 4, 2, 1, 0, 1, 1, 0, 3, 3, 3, 0, 3, 2, 0, 1, 1, 0, 2, 0, 0, 0, 4, 2, 2, 1, 2, 1, 2, 4, 2, 1, 2, 4, 1, 0, 0, 1, 2, 3, 1, 3, 1, 0, 4, 0, 4, 4, 4, 3, 1, 3, 2, 2, 4, 0, 2, 3, 0, 3, 4, 3, 4, 0, 3, 4, 0, 3, 1, 1, 0, 0, 3, 4, 0, 2, 4, 0, 0, 4, 1, 1, 0, 3, 2, 2, 4, 3, 4, 3, 4, 0, 1, 4, 2, 3, 1, 4, 0, 1, 4, 2, 0, 0, 3, 3, 0, 0, 3, 0, 4, 2, 4, 4, 2, 4, 0, 1, 0, 2, 0, 1, 1, 4, 3, 1, 1, 3, 4, 1, 0, 0, 3, 3, 4, 1, 2, 3, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 1, 2, 4, 1, 2, 4, 2, 4, 1, 3, 1, 3, 4, 1, 0, 2, 4, 0, 3, 2, 3, 3, 1, 3, 4, 4, 3, 4, 1, 2, 3, 4, 4, 3, 3, 1, 4, 0, 2, 1, 1, 3, 2, 0, 0, 3, 0, 3, 3, 4, 1, 2, 0, 3, 4, 1, 0, 0, 3, 3, 2, 2, 1, 4, 4, 2, 4, 1, 0, 3, 0, 0, 0, 0, 4, 0, 1, 3, 2, 4, 0, 4, 3, 3, 2, 4, 0, 4, 3] pubkeycol750 = [3, 1, 0, 2, 3, 3, 4, 1, 4, 1, 3, 4, 3, 0, 2, 3, 3, 4, 2, 2, 2, 3, 2, 1, 1, 1, 2, 4, 3, 4, 2, 0, 4, 3, 4, 4, 4, 2, 3, 2, 0, 1, 1, 0, 1, 2, 1, 2, 3, 4, 4, 1, 3, 2, 1, 2, 1, 1, 3, 1, 2, 2, 1, 4, 2, 0, 0, 4, 2, 0, 1, 4, 3, 4, 0, 1, 1, 0, 3, 1, 3, 3, 0, 0, 4, 0, 0, 1, 3, 1, 0, 4, 3, 0, 0, 1, 0, 3, 3, 1, 1, 3, 2, 4, 1, 2, 4, 4, 1, 4, 4, 0, 2, 1, 1, 3, 4, 4, 4, 1, 1, 0, 0, 2, 4, 0, 2, 3, 1, 0, 3, 1, 3, 1, 2, 2, 0, 0, 0, 2, 3, 3, 1, 4, 2, 1, 2, 2, 1, 3, 2, 2, 3, 1, 2, 3, 2, 0, 2, 1, 4, 0, 1, 1, 4, 3, 4, 2, 4, 1, 2, 1, 0, 3, 2, 4, 3, 0, 4, 1, 1, 2, 3, 2, 0, 2, 2, 4, 2, 2, 3, 1, 1, 0, 0, 2, 4, 0, 2, 3, 4, 1, 2, 1, 2, 0, 2, 4, 3, 1, 1, 1, 4, 2, 0, 3, 4, 3, 3, 3, 2, 2, 4, 4, 0, 2, 4, 1, 3, 2, 3, 0, 3, 4, 2, 4, 2, 4, 2, 2, 0, 4, 0, 3, 4, 1, 4, 1, 4, 0, 4, 3, 3, 0, 1, 4, 0, 3, 2, 0, 4, 1, 4, 4, 3, 0, 4, 0, 0, 4, 1, 3, 2, 3, 4, 2, 1, 1, 2, 2, 3, 3, 2, 4, 2, 0, 4, 2, 3, 4, 1, 3, 4, 1, 1, 2, 3, 3, 0, 1, 1, 4, 1, 0, 1, 2, 4, 4, 4, 4, 4, 0, 0, 4, 3, 0, 1, 2, 1, 3, 3, 4, 1, 2, 1, 4, 2, 0, 4, 1, 4, 2, 0, 3, 3, 0, 2, 3, 2, 1, 2, 3, 4, 1, 3, 4, 4, 0, 1, 2, 1, 3, 2, 3, 1, 4, 4, 4, 3, 2, 2, 3, 3, 2, 2, 2, 3, 2, 4, 2, 2, 2, 1, 0, 0, 3, 0, 1, 0, 3, 2, 1, 1, 1, 3, 3, 2, 3, 2, 2, 3, 4, 4, 2, 0, 3, 4, 2, 4, 3] pubkeycol751 = [2, 0, 4, 0, 2, 2, 2, 4, 4, 3, 0, 0, 4, 2, 3, 2, 0, 4, 3, 0, 0, 1, 1, 3, 0, 0, 3, 4, 1, 1, 2, 0, 2, 1, 1, 1, 3, 3, 2, 1, 4, 3, 0, 4, 1, 4, 1, 4, 0, 2, 0, 0, 2, 1, 0, 3, 4, 1, 2, 3, 0, 2, 0, 0, 2, 2, 4, 4, 0, 4, 1, 2, 0, 4, 3, 2, 2, 0, 4, 1, 3, 3, 1, 3, 3, 4, 4, 1, 3, 1, 0, 0, 4, 0, 4, 3, 1, 1, 4, 1, 4, 0, 1, 2, 0, 4, 2, 4, 3, 4, 3, 3, 0, 3, 0, 4, 3, 4, 1, 2, 0, 3, 1, 1, 3, 0, 3, 0, 1, 3, 4, 1, 3, 1, 4, 2, 2, 0, 4, 4, 1, 4, 2, 4, 0, 3, 0, 0, 4, 4, 4, 0, 3, 4, 2, 0, 2, 3, 2, 4, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 3, 4, 4, 2, 3, 0, 1, 1, 1, 1, 4, 3, 3, 4, 0, 4, 0, 0, 0, 3, 1, 4, 3, 3, 0, 1, 4, 1, 4, 4, 3, 2, 0, 2, 3, 1, 1, 4, 4, 3, 3, 1, 3, 2, 0, 2, 0, 4, 1, 2, 2, 3, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 4, 3, 1, 4, 2, 3, 1, 1, 2, 3, 4, 1, 2, 2, 1, 1, 2, 2, 1, 0, 3, 0, 2, 1, 2, 4, 3, 2, 3, 0, 3, 1, 0, 3, 0, 0, 2, 4, 2, 4, 3, 1, 3, 2, 1, 0, 0, 2, 4, 4, 2, 3, 1, 3, 3, 2, 0, 4, 2, 2, 4, 4, 3, 4, 0, 2, 1, 3, 4, 3, 2, 0, 3, 1, 0, 4, 1, 3, 3, 0, 1, 1, 4, 0, 0, 1, 3, 4, 0, 4, 0, 0, 2, 1, 2, 2, 1, 3, 0, 1, 3, 3, 0, 1, 0, 3, 4, 4, 2, 1, 1, 2, 4, 0, 3, 2, 1, 3, 1, 4, 1, 0, 3, 2, 1, 0, 3, 1, 2, 1, 4, 0, 1, 0, 4, 2, 4, 4, 1, 1, 0, 0, 0, 0, 0, 1, 0, 3, 4, 3, 0, 2, 1, 3, 1, 4, 1, 2, 3] pubkeycol752 = [1, 1, 4, 0, 0, 4, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 3, 4, 2, 1, 0, 4, 2, 0, 0, 4, 0, 2, 3, 2, 1, 2, 1, 4, 0, 0, 3, 4, 2, 1, 4, 4, 2, 0, 2, 0, 2, 3, 1, 2, 2, 1, 2, 1, 0, 4, 4, 3, 0, 2, 1, 2, 4, 1, 1, 4, 2, 0, 4, 4, 0, 0, 3, 4, 1, 2, 0, 0, 4, 3, 0, 3, 0, 0, 0, 4, 2, 1, 1, 3, 1, 4, 3, 3, 3, 0, 2, 1, 1, 3, 4, 3, 2, 4, 4, 3, 4, 3, 4, 0, 3, 4, 2, 3, 0, 0, 3, 4, 2, 3, 2, 4, 0, 1, 4, 2, 1, 4, 1, 3, 0, 1, 3, 4, 4, 3, 1, 3, 1, 0, 1, 3, 4, 1, 2, 3, 0, 2, 2, 4, 0, 3, 3, 1, 4, 3, 1, 0, 3, 0, 2, 0, 2, 0, 3, 4, 2, 1, 1, 0, 0, 4, 2, 3, 1, 2, 3, 2, 3, 0, 1, 4, 2, 2, 0, 4, 3, 1, 3, 1, 2, 2, 4, 2, 4, 2, 2, 3, 3, 0, 3, 0, 3, 3, 0, 2, 3, 1, 4, 1, 2, 0, 1, 1, 0, 0, 0, 4, 4, 1, 3, 1, 4, 2, 1, 3, 0, 3, 3, 0, 3, 2, 0, 3, 1, 1, 3, 0, 3, 0, 3, 1, 4, 2, 3, 2, 4, 2, 3, 2, 0, 3, 3, 4, 3, 4, 1, 1, 0, 0, 0, 3, 2, 1, 3, 0, 1, 0, 1, 3, 4, 1, 3, 4, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 1, 2, 3, 1, 0, 4, 3, 3, 3, 2, 1, 1, 2, 4, 2, 1, 2, 2, 0, 4, 2, 2, 1, 2, 0, 0, 3, 0, 1, 3, 2, 2, 0, 2, 1, 3, 0, 2, 3, 4, 2, 4, 1, 2, 2, 3, 1, 3, 0, 2, 2, 2, 2, 0, 0, 3, 2, 1, 0, 4, 4, 2, 4, 3, 1, 0, 4, 3, 2, 1, 2, 1, 0, 0, 4, 3, 3, 4, 3, 0, 0, 2, 1, 4, 1, 3, 3, 2, 0, 3, 0, 3, 4, 3, 2, 3, 4, 4, 1, 3, 0, 3, 0, 3, 1, 1, 3, 0, 2, 0] pubkeycol753 = [4, 2, 2, 1, 3, 0, 1, 1, 0, 0, 4, 4, 4, 1, 2, 3, 0, 3, 4, 4, 4, 3, 2, 2, 1, 2, 3, 2, 0, 0, 2, 4, 4, 4, 1, 4, 3, 4, 4, 4, 2, 3, 4, 0, 4, 0, 0, 1, 2, 0, 0, 2, 4, 3, 4, 2, 3, 4, 4, 4, 0, 1, 3, 2, 3, 2, 3, 3, 0, 2, 4, 0, 4, 4, 0, 4, 1, 3, 1, 2, 2, 4, 2, 4, 2, 1, 0, 4, 0, 3, 2, 4, 1, 0, 4, 0, 0, 4, 0, 0, 2, 3, 3, 0, 2, 2, 2, 0, 1, 2, 1, 1, 3, 0, 4, 1, 2, 4, 1, 0, 4, 2, 3, 2, 3, 2, 1, 0, 3, 1, 3, 4, 0, 3, 0, 0, 2, 2, 0, 3, 1, 1, 4, 1, 2, 4, 0, 0, 1, 4, 4, 3, 2, 3, 0, 0, 4, 2, 1, 4, 0, 3, 3, 4, 2, 1, 2, 3, 0, 0, 1, 3, 1, 4, 1, 1, 0, 2, 3, 3, 0, 3, 0, 2, 4, 3, 0, 0, 1, 2, 4, 1, 1, 2, 3, 2, 3, 0, 3, 3, 4, 0, 0, 1, 3, 1, 4, 0, 0, 1, 0, 3, 2, 4, 4, 1, 2, 4, 3, 2, 4, 0, 4, 2, 3, 3, 3, 1, 3, 2, 0, 2, 2, 2, 3, 2, 4, 1, 0, 4, 1, 2, 0, 4, 0, 4, 3, 3, 3, 3, 0, 4, 3, 2, 0, 1, 1, 3, 0, 3, 3, 2, 2, 1, 4, 2, 2, 1, 4, 4, 4, 0, 2, 0, 2, 4, 1, 1, 4, 2, 3, 4, 1, 1, 3, 0, 1, 0, 4, 4, 4, 3, 3, 1, 3, 3, 1, 2, 2, 3, 4, 0, 0, 3, 1, 4, 3, 1, 1, 0, 4, 2, 0, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 3, 2, 0, 2, 3, 1, 0, 4, 2, 3, 2, 2, 1, 3, 3, 2, 4, 0, 3, 1, 4, 3, 1, 4, 1, 0, 2, 3, 2, 2, 1, 0, 1, 3, 1, 1, 4, 3, 1, 4, 1, 2, 0, 1, 1, 4, 1, 1, 1, 3, 3, 4, 4, 0, 3, 4, 2, 1, 0, 4, 4, 1, 2, 2, 0, 4, 2, 2, 1, 2, 3, 1, 1, 3, 3, 3, 4] pubkeycol754 = [0, 4, 4, 0, 1, 3, 0, 2, 2, 3, 0, 2, 1, 0, 1, 3, 0, 1, 4, 1, 1, 1, 0, 1, 2, 3, 1, 0, 4, 2, 0, 2, 4, 4, 0, 0, 4, 0, 1, 0, 0, 3, 4, 4, 1, 2, 2, 3, 3, 3, 0, 3, 3, 3, 0, 4, 4, 2, 4, 1, 3, 2, 2, 4, 0, 3, 0, 2, 1, 3, 0, 3, 0, 1, 3, 0, 1, 0, 3, 3, 1, 4, 3, 1, 4, 4, 3, 4, 2, 4, 2, 2, 1, 1, 4, 1, 2, 2, 3, 4, 3, 1, 4, 0, 3, 1, 2, 3, 4, 3, 2, 4, 4, 4, 4, 4, 1, 2, 0, 1, 3, 4, 4, 1, 2, 1, 4, 3, 3, 2, 0, 2, 0, 4, 2, 3, 3, 1, 3, 4, 3, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 4, 2, 2, 1, 3, 3, 2, 1, 3, 0, 1, 1, 2, 0, 4, 4, 0, 4, 3, 2, 0, 3, 0, 1, 4, 4, 2, 1, 4, 2, 2, 2, 4, 3, 1, 4, 1, 2, 1, 4, 1, 3, 1, 0, 3, 0, 2, 4, 3, 4, 1, 1, 2, 4, 3, 3, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 3, 4, 1, 3, 3, 4, 2, 1, 4, 3, 3, 2, 1, 2, 0, 0, 1, 4, 0, 2, 2, 2, 4, 1, 0, 2, 4, 3, 1, 0, 4, 4, 4, 1, 1, 1, 1, 1, 2, 0, 3, 2, 0, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 4, 0, 0, 3, 4, 2, 3, 1, 3, 3, 3, 4, 3, 2, 0, 3, 4, 2, 2, 2, 4, 4, 0, 4, 2, 1, 0, 3, 2, 2, 4, 2, 3, 0, 2, 3, 3, 1, 2, 4, 1, 4, 2, 3, 4, 3, 3, 0, 2, 3, 2, 3, 4, 2, 0, 1, 0, 4, 2, 0, 2, 3, 1, 4, 4, 1, 0, 0, 1, 3, 1, 0, 2, 0, 4, 2, 2, 2, 3, 4, 0, 3, 0, 3, 1, 0, 1, 1, 2, 3, 3, 3, 3, 4, 0, 3, 4, 2, 0, 4, 3, 3, 0, 1, 3, 0, 1, 3, 3, 2, 1, 4, 0, 0, 4, 1, 2, 4, 4, 4, 0, 1, 1, 4, 3, 4, 0] pubkeycol755 = [2, 4, 2, 1, 0, 1, 1, 0, 0, 0, 1, 3, 0, 2, 0, 2, 2, 3, 4, 2, 4, 1, 1, 1, 2, 2, 1, 4, 3, 0, 3, 2, 1, 0, 1, 0, 1, 2, 4, 2, 1, 3, 0, 0, 1, 2, 3, 2, 1, 3, 1, 1, 0, 3, 0, 3, 2, 1, 3, 0, 4, 3, 1, 1, 1, 2, 3, 0, 4, 2, 1, 0, 0, 4, 1, 4, 2, 2, 3, 0, 3, 2, 2, 3, 4, 3, 1, 0, 3, 3, 4, 3, 3, 1, 1, 4, 0, 2, 0, 1, 4, 2, 4, 2, 0, 3, 2, 3, 0, 3, 2, 0, 4, 0, 3, 0, 1, 3, 1, 0, 3, 1, 2, 4, 4, 0, 2, 2, 4, 1, 1, 4, 2, 4, 3, 0, 3, 1, 4, 4, 3, 2, 3, 3, 0, 0, 2, 2, 0, 0, 4, 2, 0, 3, 1, 1, 4, 1, 4, 2, 2, 0, 3, 1, 2, 2, 3, 0, 0, 4, 3, 1, 1, 0, 0, 3, 0, 1, 1, 3, 1, 2, 0, 3, 2, 4, 0, 2, 1, 2, 2, 3, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 4, 3, 4, 1, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 0, 1, 0, 4, 1, 4, 0, 3, 0, 1, 3, 4, 0, 2, 4, 0, 0, 3, 4, 1, 4, 3, 4, 1, 1, 2, 3, 2, 4, 2, 1, 0, 0, 1, 4, 4, 0, 3, 4, 2, 0, 4, 3, 2, 3, 3, 0, 0, 0, 3, 3, 1, 1, 3, 3, 1, 0, 4, 0, 1, 1, 0, 3, 3, 1, 2, 1, 3, 0, 1, 3, 1, 1, 1, 3, 1, 1, 3, 0, 3, 2, 3, 1, 0, 4, 1, 2, 2, 4, 0, 0, 1, 1, 4, 2, 3, 2, 0, 1, 3, 2, 4, 3, 3, 4, 2, 0, 0, 2, 2, 4, 1, 2, 0, 0, 0, 1, 1, 0, 0, 3, 3, 4, 3, 2, 0, 3, 2, 0, 2, 3, 0, 2, 3, 3, 4, 2, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 4, 0, 0, 3, 2, 3, 4, 3, 4, 0, 1, 0, 3, 1, 4, 1, 1, 0, 3, 3, 4, 2, 4, 2, 4, 0, 0, 0, 1, 2, 1, 1, 4, 0, 1] pubkeycol756 = [4, 2, 2, 2, 4, 1, 3, 4, 3, 4, 2, 4, 4, 0, 2, 4, 2, 1, 3, 1, 2, 4, 1, 2, 4, 3, 0, 4, 2, 0, 4, 1, 4, 2, 1, 0, 2, 4, 0, 3, 1, 4, 2, 2, 2, 0, 2, 4, 0, 1, 3, 0, 4, 2, 4, 4, 0, 0, 3, 4, 4, 0, 0, 2, 3, 1, 2, 2, 4, 0, 1, 3, 4, 0, 3, 0, 0, 4, 0, 0, 4, 4, 3, 1, 4, 0, 2, 3, 2, 2, 3, 1, 0, 1, 2, 0, 4, 0, 1, 4, 1, 2, 1, 0, 3, 4, 3, 2, 3, 1, 4, 1, 2, 1, 1, 0, 2, 1, 3, 4, 2, 2, 1, 3, 4, 0, 3, 1, 2, 0, 1, 2, 3, 1, 0, 0, 0, 2, 2, 0, 2, 2, 3, 4, 2, 0, 2, 1, 3, 4, 2, 1, 1, 2, 4, 4, 2, 0, 1, 4, 1, 2, 1, 0, 0, 2, 4, 1, 0, 4, 4, 3, 3, 0, 0, 1, 1, 3, 3, 2, 0, 3, 4, 3, 1, 1, 2, 2, 0, 0, 1, 3, 4, 1, 0, 1, 0, 1, 3, 3, 0, 3, 4, 1, 2, 0, 2, 4, 2, 0, 0, 2, 0, 3, 4, 3, 4, 1, 4, 2, 2, 3, 2, 3, 3, 3, 4, 3, 3, 3, 0, 2, 1, 3, 2, 2, 4, 3, 0, 1, 4, 4, 1, 0, 3, 1, 3, 3, 4, 2, 1, 1, 0, 0, 0, 4, 4, 4, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 4, 3, 1, 3, 3, 1, 4, 4, 3, 0, 2, 1, 1, 3, 2, 4, 1, 3, 2, 2, 4, 1, 4, 2, 0, 4, 3, 3, 0, 3, 1, 3, 0, 4, 3, 0, 3, 2, 0, 4, 0, 3, 3, 0, 2, 4, 1, 4, 2, 3, 0, 3, 2, 1, 0, 2, 3, 4, 0, 0, 3, 1, 4, 1, 3, 4, 1, 3, 0, 1, 4, 1, 2, 2, 2, 3, 1, 0, 2, 4, 4, 1, 0, 1, 1, 1, 0, 0, 3, 0, 2, 1, 1, 3, 1, 2, 4, 4, 1, 1, 4, 2, 4, 3, 3, 1, 1, 3, 3, 1, 4, 2, 1, 3, 4, 4, 0, 4, 3, 0, 1, 2, 2, 0, 4, 1, 4, 1, 3, 1] pubkeycol757 = [4, 3, 1, 2, 4, 0, 2, 2, 4, 0, 3, 2, 3, 4, 2, 2, 4, 4, 0, 4, 4, 2, 1, 2, 1, 2, 0, 4, 3, 4, 1, 2, 3, 2, 4, 1, 2, 2, 0, 4, 3, 2, 1, 3, 2, 4, 3, 1, 2, 2, 4, 2, 1, 4, 1, 3, 1, 1, 1, 3, 1, 1, 2, 4, 0, 0, 3, 1, 3, 4, 4, 3, 1, 2, 4, 4, 4, 4, 1, 2, 4, 4, 3, 1, 3, 4, 0, 2, 2, 3, 1, 2, 1, 3, 1, 4, 1, 4, 1, 4, 2, 1, 4, 0, 2, 2, 4, 3, 4, 1, 4, 1, 4, 0, 0, 0, 4, 1, 2, 2, 4, 3, 4, 2, 2, 0, 4, 0, 4, 0, 1, 2, 3, 4, 3, 4, 2, 3, 1, 1, 0, 3, 2, 2, 3, 3, 0, 4, 3, 2, 2, 0, 3, 4, 2, 4, 1, 0, 2, 4, 4, 0, 2, 1, 0, 1, 0, 3, 3, 1, 0, 3, 2, 3, 2, 1, 4, 3, 4, 3, 0, 0, 4, 4, 4, 0, 3, 1, 0, 3, 0, 2, 4, 4, 2, 0, 3, 2, 2, 2, 4, 0, 3, 3, 1, 4, 1, 3, 4, 2, 1, 1, 1, 2, 1, 0, 1, 4, 3, 0, 2, 3, 3, 1, 0, 0, 4, 1, 0, 4, 2, 4, 4, 3, 1, 1, 1, 1, 2, 0, 0, 0, 3, 1, 1, 3, 1, 3, 4, 0, 0, 4, 0, 4, 0, 4, 2, 4, 3, 0, 1, 1, 2, 3, 3, 1, 4, 0, 1, 3, 3, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 1, 2, 4, 2, 0, 4, 0, 1, 4, 3, 0, 0, 4, 3, 1, 4, 2, 3, 1, 2, 0, 0, 3, 3, 0, 2, 2, 4, 0, 2, 3, 4, 4, 0, 2, 3, 4, 4, 1, 2, 1, 1, 0, 3, 0, 2, 4, 1, 3, 2, 3, 0, 2, 0, 0, 0, 4, 2, 0, 1, 4, 4, 4, 1, 4, 3, 2, 4, 1, 3, 1, 4, 0, 4, 4, 3, 3, 1, 0, 1, 1, 2, 4, 1, 1, 4, 0, 0, 2, 2, 2, 1, 3, 0, 1, 4, 0, 4, 4, 0, 2, 1, 0, 4, 1, 2, 4, 0, 1, 4, 3, 0, 1, 1, 4] pubkeycol758 = [0, 1, 2, 1, 1, 0, 4, 1, 2, 3, 1, 2, 0, 3, 3, 2, 2, 3, 0, 0, 3, 3, 2, 0, 1, 1, 0, 1, 1, 2, 0, 3, 2, 2, 2, 1, 1, 1, 2, 3, 4, 1, 1, 1, 2, 2, 2, 3, 1, 4, 0, 2, 3, 4, 0, 4, 2, 3, 4, 3, 0, 1, 0, 1, 0, 2, 2, 1, 2, 4, 0, 4, 0, 3, 1, 3, 1, 3, 3, 4, 4, 2, 0, 2, 4, 4, 0, 0, 3, 2, 4, 2, 2, 2, 4, 1, 0, 3, 4, 1, 4, 2, 3, 4, 4, 3, 2, 1, 2, 3, 0, 4, 3, 0, 0, 1, 1, 4, 0, 3, 2, 4, 3, 0, 0, 2, 3, 3, 2, 0, 4, 1, 2, 4, 3, 3, 3, 2, 3, 1, 4, 3, 2, 2, 0, 0, 2, 2, 1, 1, 1, 4, 1, 4, 3, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 4, 0, 4, 4, 3, 2, 2, 2, 1, 2, 4, 2, 2, 1, 0, 2, 1, 2, 2, 3, 3, 3, 0, 4, 3, 1, 3, 3, 3, 0, 1, 4, 2, 0, 3, 2, 2, 3, 4, 1, 4, 0, 4, 3, 2, 0, 0, 0, 1, 3, 1, 3, 3, 1, 1, 2, 0, 3, 0, 1, 0, 2, 3, 0, 4, 3, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 2, 4, 0, 1, 3, 3, 1, 3, 4, 3, 2, 2, 4, 2, 2, 1, 4, 4, 2, 0, 2, 4, 4, 2, 1, 4, 4, 3, 3, 2, 3, 0, 3, 3, 3, 1, 4, 2, 1, 4, 1, 0, 4, 3, 0, 4, 3, 2, 3, 3, 1, 2, 1, 0, 4, 1, 3, 0, 0, 4, 2, 2, 0, 1, 0, 4, 0, 3, 4, 0, 2, 4, 3, 1, 0, 0, 1, 1, 0, 4, 2, 3, 3, 3, 1, 3, 4, 3, 2, 1, 1, 2, 4, 4, 4, 2, 1, 0, 1, 3, 0, 0, 4, 4, 1, 0, 3, 4, 2, 2, 0, 1, 4, 3, 3, 0, 1, 0, 2, 1, 1, 0, 4, 4, 2, 1, 3, 1, 1, 0, 3, 2, 1, 2, 1, 2, 2, 4, 3, 4, 3, 2, 3, 1, 0, 1, 1, 0, 2, 2, 1, 4, 1] pubkeycol759 = [2, 2, 3, 0, 1, 3, 2, 2, 3, 0, 4, 0, 1, 1, 4, 4, 4, 4, 2, 4, 1, 0, 0, 3, 3, 4, 2, 0, 1, 0, 1, 3, 4, 3, 4, 2, 3, 3, 4, 1, 2, 4, 0, 0, 0, 2, 4, 2, 1, 2, 3, 3, 4, 3, 2, 1, 3, 2, 0, 1, 0, 4, 0, 2, 3, 2, 0, 0, 2, 1, 4, 2, 0, 1, 0, 4, 2, 3, 2, 4, 0, 2, 4, 1, 1, 2, 0, 3, 1, 4, 0, 0, 2, 4, 3, 3, 3, 0, 3, 1, 2, 0, 4, 3, 4, 1, 4, 1, 1, 4, 0, 0, 2, 0, 4, 0, 4, 1, 4, 3, 4, 4, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 4, 1, 1, 2, 4, 4, 0, 2, 3, 2, 4, 4, 1, 1, 2, 1, 1, 2, 4, 2, 3, 0, 0, 3, 1, 4, 2, 3, 3, 1, 2, 1, 2, 3, 3, 4, 3, 0, 3, 1, 3, 2, 2, 4, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 3, 4, 1, 4, 2, 2, 4, 1, 0, 3, 3, 4, 4, 4, 2, 1, 2, 1, 2, 4, 3, 2, 4, 0, 4, 4, 1, 0, 0, 4, 3, 3, 3, 0, 0, 2, 2, 3, 0, 4, 4, 2, 0, 1, 4, 4, 4, 0, 0, 0, 4, 3, 0, 3, 4, 2, 0, 1, 4, 0, 0, 2, 0, 3, 0, 1, 1, 4, 2, 3, 3, 0, 0, 0, 3, 2, 4, 2, 1, 0, 1, 1, 2, 1, 4, 0, 0, 0, 0, 3, 2, 4, 4, 0, 3, 0, 2, 3, 0, 1, 2, 4, 3, 1, 3, 3, 4, 4, 1, 1, 3, 2, 4, 4, 2, 1, 3, 4, 0, 2, 3, 0, 0, 0, 4, 0, 1, 2, 0, 1, 2, 3, 2, 4, 4, 4, 4, 4, 0, 4, 2, 4, 2, 4, 1, 2, 2, 1, 0, 4, 1, 3, 0, 4, 0, 3, 3, 3, 1, 4, 2, 4, 3, 1, 3, 3, 1, 2, 2, 1, 1, 4, 3, 2, 4, 1, 1, 0, 0, 4, 1, 4, 0, 0, 0, 2, 4, 0, 0, 3, 1, 1, 1, 0, 3, 1, 0, 4, 3, 3, 0, 1, 4, 4, 1, 2, 1, 1, 3, 2, 2, 4, 0] pubkeycol760 = [0, 1, 3, 3, 0, 2, 4, 0, 3, 3, 4, 3, 2, 4, 0, 1, 2, 4, 3, 0, 3, 0, 1, 4, 4, 0, 3, 1, 1, 4, 2, 1, 1, 2, 2, 0, 2, 2, 1, 4, 0, 4, 2, 3, 3, 2, 0, 1, 0, 2, 1, 3, 3, 1, 4, 0, 3, 1, 2, 0, 3, 0, 4, 1, 2, 2, 1, 3, 2, 4, 1, 0, 2, 2, 4, 1, 2, 2, 0, 4, 0, 0, 2, 4, 4, 1, 2, 0, 3, 0, 1, 3, 3, 3, 3, 3, 2, 3, 1, 3, 3, 0, 1, 1, 1, 2, 1, 4, 2, 2, 3, 3, 3, 3, 0, 2, 2, 4, 2, 1, 3, 3, 3, 2, 1, 4, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 4, 3, 1, 3, 4, 1, 2, 1, 1, 2, 4, 2, 4, 1, 1, 1, 1, 2, 0, 3, 3, 3, 0, 2, 3, 2, 1, 4, 2, 1, 1, 1, 0, 1, 2, 1, 4, 2, 1, 0, 0, 4, 4, 0, 1, 2, 4, 0, 1, 1, 3, 2, 0, 0, 2, 0, 1, 0, 4, 2, 2, 3, 4, 3, 1, 1, 4, 1, 1, 3, 1, 2, 3, 4, 0, 1, 2, 0, 1, 0, 3, 3, 4, 4, 2, 2, 1, 1, 4, 4, 2, 4, 2, 3, 1, 4, 2, 2, 1, 3, 3, 1, 3, 2, 2, 1, 0, 1, 3, 1, 3, 1, 4, 2, 0, 3, 2, 2, 4, 0, 4, 3, 0, 0, 3, 2, 2, 2, 3, 4, 3, 3, 3, 3, 2, 0, 0, 4, 1, 0, 0, 1, 3, 3, 4, 1, 4, 2, 3, 4, 4, 3, 1, 1, 2, 0, 0, 0, 3, 4, 1, 4, 2, 0, 4, 1, 2, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 4, 0, 4, 3, 1, 3, 1, 4, 2, 2, 4, 4, 3, 3, 3, 3, 0, 2, 3, 4, 2, 2, 4, 1, 1, 4, 4, 2, 4, 3, 1, 3, 2, 1, 1, 3, 4, 2, 0, 3, 0, 4, 4, 0, 2, 0, 3, 2, 4, 1, 3, 0, 3, 4, 2, 3, 1, 0, 1, 2, 4, 4, 1, 1, 2, 0, 2, 0, 1, 1, 1, 4, 1, 1, 0, 2, 2, 4, 1, 0, 2, 3, 1, 1, 4, 3, 1] pubkeycol761 = [1, 0, 3, 3, 0, 3, 0, 1, 3, 3, 4, 3, 1, 3, 4, 2, 1, 3, 0, 0, 0, 0, 0, 0, 2, 2, 3, 1, 2, 3, 1, 4, 0, 2, 3, 4, 0, 3, 3, 1, 4, 3, 0, 2, 2, 1, 3, 0, 2, 3, 2, 0, 0, 4, 4, 1, 2, 0, 2, 3, 0, 2, 0, 4, 4, 4, 4, 2, 4, 1, 4, 3, 0, 2, 2, 2, 1, 1, 3, 1, 4, 2, 2, 3, 4, 0, 3, 1, 0, 4, 3, 3, 0, 2, 3, 0, 2, 4, 4, 4, 4, 3, 0, 4, 1, 4, 2, 2, 2, 3, 0, 4, 3, 1, 2, 2, 0, 2, 3, 3, 4, 3, 0, 2, 0, 1, 2, 1, 1, 4, 2, 2, 4, 1, 3, 0, 2, 2, 2, 4, 4, 2, 1, 2, 4, 3, 1, 4, 4, 0, 2, 0, 0, 3, 4, 2, 1, 0, 4, 2, 1, 4, 4, 1, 0, 0, 2, 4, 3, 3, 0, 2, 3, 0, 1, 2, 1, 3, 4, 0, 0, 3, 2, 2, 4, 3, 4, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 4, 2, 0, 4, 1, 2, 4, 4, 1, 1, 0, 0, 3, 4, 2, 2, 2, 3, 2, 4, 3, 2, 4, 0, 0, 4, 1, 3, 3, 3, 2, 1, 3, 0, 3, 1, 2, 3, 4, 4, 4, 0, 2, 1, 0, 3, 1, 4, 2, 0, 2, 1, 4, 0, 4, 0, 0, 1, 4, 1, 2, 3, 1, 3, 0, 0, 3, 2, 3, 4, 3, 0, 0, 4, 1, 2, 2, 1, 4, 0, 2, 1, 2, 1, 1, 3, 3, 1, 2, 1, 3, 0, 2, 1, 2, 4, 3, 1, 3, 0, 1, 1, 4, 2, 0, 3, 4, 1, 2, 0, 0, 4, 1, 4, 2, 0, 0, 0, 4, 2, 2, 1, 4, 2, 3, 0, 0, 0, 4, 0, 4, 0, 4, 0, 3, 3, 1, 2, 0, 0, 4, 3, 3, 1, 1, 3, 2, 2, 0, 3, 2, 3, 4, 0, 1, 0, 2, 2, 1, 3, 3, 4, 2, 2, 3, 1, 4, 1, 4, 0, 2, 1, 0, 2, 2, 4, 1, 0, 0] pubkeycol762 = [2, 0, 2, 0, 4, 4, 1, 2, 0, 4, 2, 3, 1, 0, 3, 4, 2, 4, 4, 3, 3, 3, 0, 1, 0, 4, 2, 2, 4, 2, 2, 0, 1, 1, 4, 1, 0, 0, 2, 3, 1, 1, 2, 3, 2, 0, 4, 4, 3, 4, 0, 1, 4, 2, 3, 3, 0, 1, 2, 0, 1, 2, 4, 4, 2, 0, 3, 0, 4, 3, 3, 2, 3, 1, 1, 1, 1, 3, 0, 0, 2, 1, 0, 3, 2, 1, 0, 2, 1, 1, 3, 4, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 4, 0, 2, 2, 0, 1, 1, 4, 4, 2, 4, 4, 1, 3, 3, 0, 1, 2, 1, 4, 3, 1, 4, 2, 0, 0, 3, 0, 3, 2, 4, 1, 4, 4, 2, 4, 1, 0, 2, 3, 0, 1, 0, 3, 0, 4, 3, 0, 4, 2, 3, 0, 1, 3, 4, 0, 3, 0, 2, 4, 1, 4, 0, 1, 1, 2, 4, 0, 0, 1, 1, 3, 0, 3, 2, 1, 3, 3, 1, 4, 1, 4, 1, 0, 4, 4, 3, 1, 0, 4, 2, 0, 3, 0, 3, 4, 0, 3, 0, 2, 3, 1, 3, 4, 0, 0, 2, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 3, 1, 0, 3, 3, 2, 1, 1, 3, 3, 4, 4, 3, 0, 0, 0, 1, 4, 4, 1, 4, 4, 0, 1, 4, 1, 4, 0, 1, 1, 2, 2, 4, 4, 2, 2, 0, 3, 3, 3, 2, 0, 1, 4, 3, 4, 4, 2, 3, 0, 4, 4, 3, 3, 3, 2, 1, 4, 1, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 1, 2, 4, 0, 0, 2, 4, 4, 1, 4, 3, 1, 3, 4, 3, 2, 4, 1, 4, 1, 0, 3, 4, 3, 0, 0, 1, 3, 0, 1, 1, 0, 3, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 3, 2, 2, 2, 2, 4, 2, 4, 2, 2, 1, 1, 1, 2, 2, 3, 4, 0, 3, 0, 0, 3, 0, 1, 0, 0, 2, 0, 3, 4, 2, 1, 1, 4, 2, 1, 0, 0, 4, 0, 2, 3, 1, 2, 0, 1, 2, 0, 2, 0, 3, 4, 2, 3, 3, 1, 1, 4, 1, 2, 3, 0, 4, 0, 1] pubkeycol763 = [3, 0, 2, 1, 0, 0, 1, 0, 2, 1, 3, 4, 2, 1, 0, 0, 2, 3, 4, 2, 3, 0, 1, 0, 0, 0, 0, 2, 0, 2, 3, 3, 4, 4, 3, 2, 4, 0, 3, 1, 1, 3, 0, 3, 4, 3, 4, 0, 3, 2, 1, 3, 4, 3, 3, 3, 1, 4, 0, 3, 0, 0, 4, 2, 2, 2, 1, 3, 3, 4, 4, 0, 1, 1, 4, 2, 1, 0, 2, 0, 2, 2, 3, 1, 0, 4, 2, 2, 4, 1, 2, 2, 3, 1, 0, 4, 3, 2, 2, 1, 1, 0, 3, 1, 0, 4, 3, 2, 0, 4, 2, 0, 1, 3, 1, 0, 2, 1, 0, 4, 4, 3, 4, 0, 3, 1, 3, 0, 4, 1, 0, 2, 4, 4, 4, 4, 0, 4, 2, 2, 2, 4, 4, 1, 2, 2, 2, 2, 3, 1, 0, 1, 1, 2, 1, 3, 2, 0, 3, 2, 3, 1, 0, 2, 4, 1, 2, 2, 3, 4, 1, 1, 0, 3, 2, 0, 4, 3, 4, 2, 1, 3, 3, 2, 2, 2, 0, 1, 0, 3, 1, 3, 2, 0, 3, 4, 0, 1, 2, 0, 4, 4, 3, 4, 3, 3, 3, 3, 1, 0, 2, 4, 2, 2, 0, 3, 3, 0, 0, 1, 1, 1, 0, 4, 2, 0, 2, 0, 2, 0, 2, 0, 4, 2, 4, 2, 1, 3, 0, 2, 4, 0, 4, 1, 3, 2, 2, 0, 2, 1, 3, 0, 0, 4, 3, 3, 2, 2, 2, 1, 2, 2, 4, 0, 0, 1, 1, 3, 4, 1, 1, 3, 3, 1, 3, 1, 0, 4, 0, 2, 4, 4, 2, 4, 2, 2, 3, 3, 1, 1, 2, 1, 4, 4, 3, 3, 3, 3, 4, 0, 1, 4, 2, 1, 0, 1, 4, 3, 1, 2, 1, 1, 4, 3, 2, 0, 2, 4, 0, 2, 0, 3, 4, 0, 1, 4, 2, 2, 2, 4, 3, 3, 4, 4, 2, 1, 3, 2, 3, 4, 0, 4, 1, 2, 1, 2, 4, 2, 1, 4, 0, 3, 4, 1, 1, 3, 4, 0, 3, 3, 2, 2, 3, 1, 2, 1, 0, 3, 3, 2, 0, 3, 0, 0, 3, 0, 3, 0, 1, 0, 3, 4, 3, 2, 1, 0, 2, 1, 3, 3, 2, 4, 4, 3, 4, 3, 4, 4, 4, 1] pubkeycol764 = [1, 3, 4, 0, 4, 1, 4, 4, 4, 3, 0, 1, 4, 0, 2, 4, 3, 1, 3, 4, 0, 3, 2, 1, 4, 3, 4, 2, 1, 4, 3, 0, 4, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 3, 2, 4, 3, 0, 4, 3, 2, 1, 0, 4, 4, 4, 4, 1, 1, 0, 2, 3, 1, 1, 1, 2, 4, 4, 3, 4, 3, 4, 0, 3, 1, 0, 2, 4, 4, 2, 0, 0, 3, 1, 4, 0, 1, 2, 3, 4, 2, 2, 3, 4, 3, 2, 4, 0, 3, 2, 2, 2, 4, 4, 4, 2, 1, 3, 2, 3, 0, 0, 0, 3, 3, 1, 1, 0, 2, 2, 4, 2, 3, 0, 1, 4, 1, 2, 2, 3, 0, 4, 0, 4, 2, 3, 2, 1, 0, 0, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 1, 4, 3, 2, 4, 1, 3, 3, 2, 0, 1, 2, 1, 0, 4, 1, 0, 0, 4, 2, 0, 4, 2, 3, 4, 4, 4, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 3, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 3, 2, 4, 4, 0, 3, 3, 1, 3, 0, 4, 4, 2, 2, 4, 3, 4, 2, 0, 0, 1, 3, 2, 3, 2, 4, 2, 2, 4, 4, 4, 2, 0, 4, 1, 4, 4, 0, 1, 1, 2, 4, 2, 3, 4, 2, 3, 0, 1, 2, 3, 3, 0, 4, 2, 3, 1, 0, 4, 2, 2, 4, 4, 3, 2, 4, 1, 4, 1, 3, 0, 0, 3, 0, 1, 4, 3, 3, 4, 1, 1, 3, 4, 2, 4, 1, 0, 3, 3, 0, 4, 2, 1, 4, 4, 3, 0, 3, 4, 4, 2, 4, 0, 0, 2, 0, 0, 2, 1, 2, 4, 1, 0, 1, 0, 4, 4, 1, 3, 3, 1, 0, 0, 2, 0, 1, 2, 0, 4, 3, 1, 1, 4, 0, 4, 2, 0, 0, 0, 3, 2, 0, 0, 0, 0, 1, 3, 4, 0, 3, 0, 2, 4, 4, 4, 3, 0, 4, 2, 2, 4, 4, 0, 1, 1, 1, 2, 3, 2, 0, 4, 2, 4, 1, 3, 4, 1, 0, 4, 1, 0, 2, 0, 2, 4, 2, 0, 4, 3, 4, 0] pubkeycol765 = [1, 0, 3, 0, 0, 3, 3, 2, 0, 3, 0, 1, 1, 2, 0, 1, 2, 3, 2, 3, 0, 0, 2, 3, 3, 2, 0, 2, 3, 4, 4, 2, 4, 2, 1, 4, 1, 3, 4, 1, 0, 0, 4, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 0, 0, 1, 4, 3, 3, 4, 0, 3, 2, 2, 4, 3, 3, 0, 2, 4, 3, 0, 0, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 4, 2, 3, 0, 0, 1, 2, 0, 2, 0, 0, 4, 1, 2, 4, 3, 0, 1, 4, 2, 3, 0, 4, 2, 4, 4, 1, 1, 2, 2, 2, 4, 4, 3, 2, 3, 3, 0, 0, 3, 2, 1, 2, 1, 3, 1, 3, 4, 2, 0, 1, 3, 3, 0, 0, 4, 4, 0, 3, 0, 1, 3, 0, 0, 2, 3, 4, 1, 4, 2, 4, 4, 0, 3, 4, 0, 0, 2, 3, 3, 2, 1, 2, 3, 0, 3, 2, 1, 1, 0, 3, 4, 3, 3, 3, 2, 3, 1, 3, 2, 4, 3, 1, 4, 2, 2, 2, 4, 0, 3, 1, 1, 1, 1, 0, 3, 2, 1, 1, 4, 4, 3, 1, 0, 1, 1, 0, 0, 1, 3, 0, 1, 2, 4, 0, 4, 4, 2, 2, 1, 2, 1, 3, 4, 0, 3, 3, 0, 0, 3, 1, 4, 0, 3, 4, 0, 4, 3, 3, 1, 1, 2, 0, 0, 0, 0, 3, 4, 2, 2, 3, 1, 3, 1, 3, 0, 3, 1, 4, 0, 0, 2, 0, 3, 3, 4, 4, 1, 0, 4, 3, 2, 2, 2, 1, 1, 4, 0, 2, 2, 3, 1, 2, 0, 1, 0, 3, 4, 0, 0, 2, 4, 0, 3, 4, 3, 3, 2, 2, 1, 3, 4, 3, 0, 0, 4, 0, 1, 1, 1, 1, 0, 3, 2, 3, 4, 4, 3, 4, 2, 2, 3, 0, 1, 0, 4, 0, 2, 3, 3, 3, 0, 0, 2, 4, 1, 0, 3, 2, 3, 4, 4, 0, 2, 1, 0, 2, 4, 4, 2, 4, 2, 4, 1, 4, 0, 1, 0, 3, 3, 1, 4, 4, 2, 1, 2, 2, 3, 3, 3, 3, 4, 2, 2, 2, 3, 4, 1, 3, 4, 0, 4, 1, 3, 1, 0, 1, 1, 2, 1, 3] pubkeycol766 = [2, 1, 4, 2, 1, 1, 2, 4, 2, 3, 1, 0, 2, 2, 0, 1, 1, 4, 3, 0, 2, 3, 2, 1, 4, 0, 0, 3, 2, 0, 2, 1, 4, 4, 3, 1, 2, 0, 2, 2, 2, 4, 2, 1, 0, 4, 4, 4, 1, 3, 0, 4, 1, 3, 2, 3, 2, 0, 4, 3, 0, 1, 1, 0, 0, 0, 2, 2, 3, 0, 1, 0, 2, 0, 3, 0, 4, 0, 1, 4, 3, 2, 3, 4, 0, 2, 4, 0, 1, 4, 2, 4, 0, 2, 0, 1, 2, 3, 4, 1, 1, 3, 1, 3, 2, 4, 4, 1, 1, 3, 0, 3, 0, 4, 4, 1, 0, 3, 0, 3, 4, 1, 3, 2, 3, 2, 2, 4, 1, 3, 3, 4, 2, 4, 3, 0, 2, 2, 4, 2, 0, 1, 3, 3, 1, 0, 0, 4, 1, 1, 0, 2, 0, 2, 3, 1, 2, 4, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 3, 1, 1, 3, 0, 0, 3, 1, 3, 1, 3, 2, 3, 4, 2, 4, 4, 2, 4, 1, 2, 3, 3, 2, 2, 4, 1, 4, 2, 0, 0, 1, 0, 4, 2, 2, 4, 4, 0, 0, 1, 3, 4, 0, 4, 4, 4, 1, 2, 4, 0, 2, 0, 3, 4, 1, 1, 2, 3, 3, 3, 3, 0, 2, 0, 4, 4, 4, 4, 0, 0, 4, 2, 3, 0, 4, 0, 2, 0, 2, 0, 0, 1, 0, 2, 3, 4, 4, 0, 1, 2, 0, 4, 2, 4, 3, 3, 4, 2, 4, 4, 1, 2, 4, 0, 0, 2, 4, 4, 2, 4, 2, 2, 0, 4, 0, 1, 1, 2, 3, 0, 0, 1, 4, 3, 3, 1, 4, 0, 4, 0, 1, 3, 3, 1, 1, 2, 3, 3, 1, 3, 1, 3, 4, 0, 1, 0, 4, 3, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 4, 1, 0, 0, 1, 1, 0, 3, 2, 0, 4, 3, 4, 4, 3, 3, 4, 1, 4, 3, 3, 2, 4, 2, 0, 4, 4, 0, 3, 1, 4, 2, 2, 1, 2, 1, 1, 4, 3, 3, 4, 3, 0, 0, 4, 0, 3, 1, 2, 3, 4, 4, 2, 3, 0, 0, 0, 0, 1, 3, 0, 0, 3, 1, 2, 0, 0, 4] pubkeycol767 = [4, 1, 1, 2, 2, 3, 4, 0, 4, 4, 1, 3, 2, 1, 0, 0, 3, 2, 4, 2, 0, 4, 3, 4, 0, 0, 2, 3, 2, 1, 1, 2, 3, 4, 4, 1, 3, 2, 1, 2, 4, 3, 4, 2, 1, 2, 2, 4, 0, 1, 4, 1, 2, 2, 1, 4, 4, 3, 3, 4, 3, 2, 1, 1, 2, 1, 4, 1, 4, 4, 0, 1, 4, 1, 2, 2, 3, 1, 0, 4, 1, 0, 1, 0, 4, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 3, 2, 0, 0, 4, 3, 0, 2, 3, 2, 4, 0, 2, 2, 2, 1, 4, 2, 2, 3, 4, 3, 1, 3, 2, 2, 1, 2, 3, 4, 0, 1, 3, 0, 0, 0, 3, 2, 2, 3, 1, 1, 2, 3, 2, 2, 4, 4, 4, 2, 3, 0, 2, 0, 0, 2, 1, 4, 1, 4, 1, 3, 0, 4, 3, 3, 2, 0, 4, 4, 1, 1, 2, 2, 2, 1, 2, 3, 0, 3, 4, 3, 4, 3, 0, 4, 4, 1, 1, 2, 4, 1, 2, 4, 0, 1, 4, 3, 4, 2, 4, 4, 1, 3, 3, 0, 3, 3, 4, 4, 4, 0, 1, 3, 2, 4, 1, 3, 0, 3, 0, 2, 1, 2, 4, 0, 2, 4, 2, 4, 1, 3, 4, 4, 4, 4, 3, 0, 3, 4, 2, 0, 1, 4, 2, 1, 4, 0, 0, 4, 3, 1, 2, 3, 2, 1, 2, 4, 1, 0, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 1, 0, 3, 4, 3, 0, 2, 0, 3, 0, 2, 1, 1, 4, 4, 2, 2, 2, 3, 4, 2, 1, 4, 4, 4, 1, 3, 0, 0, 0, 1, 0, 4, 3, 2, 4, 2, 3, 1, 4, 1, 3, 0, 4, 2, 4, 1, 2, 0, 1, 4, 2, 1, 3, 3, 2, 2, 4, 4, 2, 1, 3, 0, 3, 3, 4, 2, 2, 3, 4, 3, 4, 2, 3, 1, 2, 0, 4, 4, 4, 1, 0, 0, 0, 1, 1, 0, 2, 4, 1, 0, 1, 0, 3, 1, 3, 0, 0, 3, 4, 1, 3, 1, 0, 4, 4, 4, 3, 2, 4, 1, 3, 0, 4, 1, 2, 2, 4, 2, 0, 1, 3, 1, 2, 3, 0, 0, 0, 4, 0, 1, 3, 3, 0, 1] pubkeycol768 = [2, 4, 3, 1, 1, 1, 3, 0, 1, 4, 3, 2, 3, 4, 4, 4, 4, 0, 4, 3, 1, 4, 0, 1, 0, 3, 2, 1, 3, 1, 3, 4, 0, 2, 3, 4, 1, 0, 2, 2, 3, 4, 2, 4, 1, 0, 4, 0, 1, 0, 2, 1, 0, 1, 3, 4, 3, 1, 0, 0, 3, 2, 3, 1, 3, 2, 3, 1, 1, 0, 3, 3, 2, 1, 3, 4, 0, 0, 2, 1, 0, 3, 1, 2, 2, 1, 1, 0, 0, 3, 3, 3, 4, 0, 3, 3, 1, 1, 3, 1, 3, 0, 1, 0, 4, 0, 3, 2, 4, 3, 2, 2, 3, 0, 2, 1, 0, 3, 3, 3, 1, 4, 3, 0, 3, 4, 1, 1, 1, 0, 2, 3, 2, 1, 2, 3, 4, 4, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 4, 4, 0, 3, 4, 3, 4, 4, 3, 1, 2, 1, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 3, 2, 1, 2, 4, 3, 1, 4, 0, 0, 2, 3, 4, 0, 4, 3, 4, 3, 1, 0, 0, 0, 4, 1, 0, 0, 2, 3, 3, 0, 0, 0, 1, 1, 4, 1, 2, 3, 3, 2, 2, 2, 0, 2, 2, 3, 2, 0, 1, 1, 3, 2, 3, 0, 1, 1, 0, 3, 2, 0, 0, 4, 0, 0, 3, 3, 0, 0, 4, 0, 1, 1, 2, 4, 3, 0, 2, 2, 1, 0, 1, 4, 1, 4, 0, 1, 4, 3, 1, 0, 3, 4, 3, 1, 3, 0, 2, 2, 4, 0, 0, 4, 2, 2, 3, 1, 1, 4, 4, 0, 4, 3, 3, 4, 4, 3, 1, 0, 4, 3, 0, 1, 1, 0, 1, 4, 4, 0, 3, 2, 3, 2, 3, 4, 2, 1, 3, 0, 1, 1, 3, 0, 1, 1, 4, 2, 0, 2, 3, 0, 3, 2, 2, 0, 2, 2, 0, 0, 1, 4, 1, 3, 1, 1, 3, 1, 1, 4, 1, 2, 4, 2, 1, 0, 1, 2, 3, 2, 3, 3, 1, 3, 3, 4, 1, 0, 2, 0, 2, 0, 2, 1, 1, 4, 0, 0, 0, 2, 0, 4, 3, 4, 1, 1, 4, 2, 0, 1, 3, 4, 0, 1, 0, 0, 1, 4, 1, 2, 1, 2, 2, 2, 2, 2, 4, 3, 1, 3, 1] pubkeycol769 = [0, 3, 0, 1, 0, 4, 4, 4, 2, 0, 2, 4, 1, 1, 1, 0, 4, 2, 4, 0, 1, 4, 1, 2, 3, 2, 3, 4, 0, 4, 0, 2, 3, 1, 0, 3, 1, 3, 4, 4, 1, 4, 4, 0, 4, 0, 1, 2, 0, 3, 0, 0, 4, 2, 1, 3, 2, 2, 2, 1, 0, 2, 4, 4, 3, 0, 0, 1, 2, 2, 4, 3, 0, 4, 2, 0, 1, 4, 0, 2, 0, 0, 2, 3, 0, 2, 0, 3, 4, 2, 3, 3, 4, 3, 0, 3, 3, 3, 2, 0, 1, 3, 3, 3, 0, 1, 4, 0, 2, 4, 3, 4, 1, 4, 0, 3, 1, 4, 4, 1, 2, 4, 1, 3, 2, 1, 2, 1, 0, 3, 2, 4, 1, 3, 0, 4, 0, 4, 3, 1, 2, 4, 2, 3, 4, 4, 3, 3, 4, 2, 4, 0, 2, 3, 3, 0, 0, 0, 3, 2, 2, 0, 4, 0, 0, 4, 0, 2, 4, 2, 4, 0, 2, 2, 4, 3, 0, 3, 4, 1, 4, 1, 0, 4, 1, 2, 0, 0, 1, 3, 4, 4, 0, 2, 0, 0, 3, 3, 0, 3, 2, 2, 4, 2, 2, 1, 1, 4, 0, 2, 3, 3, 0, 4, 2, 4, 1, 2, 2, 1, 0, 4, 1, 3, 1, 1, 2, 4, 0, 1, 1, 4, 1, 2, 0, 1, 2, 2, 3, 1, 0, 2, 3, 1, 2, 0, 1, 1, 1, 2, 3, 2, 4, 2, 4, 2, 2, 4, 1, 3, 3, 4, 1, 2, 2, 3, 0, 4, 3, 1, 3, 0, 3, 2, 3, 0, 4, 1, 0, 1, 1, 2, 4, 1, 1, 0, 2, 4, 2, 3, 4, 1, 3, 1, 4, 2, 4, 2, 0, 3, 3, 3, 2, 2, 0, 2, 2, 4, 3, 2, 2, 0, 0, 4, 1, 0, 3, 1, 3, 4, 0, 0, 1, 0, 0, 2, 1, 2, 2, 3, 3, 0, 3, 2, 4, 4, 0, 3, 1, 0, 0, 1, 1, 0, 3, 2, 1, 3, 4, 3, 1, 2, 2, 3, 2, 2, 0, 4, 2, 3, 4, 3, 3, 2, 3, 2, 4, 2, 3, 0, 0, 3, 1, 1, 0, 4, 4, 0, 1, 2, 4, 1, 1, 0, 0, 4, 0, 3, 3, 1, 2, 2, 3, 4, 2, 0, 0, 2, 3, 2] pubkeycol770 = [4, 2, 4, 1, 1, 3, 0, 1, 3, 4, 2, 3, 3, 4, 0, 3, 2, 1, 3, 0, 4, 1, 3, 4, 1, 4, 0, 4, 4, 1, 4, 4, 4, 0, 4, 3, 1, 1, 1, 4, 3, 0, 4, 1, 3, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 4, 4, 2, 0, 1, 3, 2, 1, 1, 3, 3, 1, 2, 3, 4, 1, 4, 0, 2, 0, 2, 1, 0, 4, 3, 0, 3, 2, 0, 2, 1, 0, 3, 4, 4, 3, 1, 4, 1, 4, 0, 0, 2, 1, 1, 0, 1, 3, 3, 0, 4, 2, 0, 0, 2, 1, 2, 1, 2, 1, 4, 3, 1, 4, 2, 1, 0, 1, 0, 4, 3, 1, 1, 3, 4, 1, 1, 1, 2, 1, 3, 1, 3, 3, 3, 4, 3, 1, 3, 2, 1, 3, 4, 0, 3, 1, 1, 3, 1, 1, 1, 1, 3, 4, 2, 2, 1, 4, 2, 3, 3, 2, 4, 3, 0, 0, 3, 2, 0, 1, 4, 0, 1, 4, 0, 1, 1, 1, 3, 0, 4, 1, 2, 2, 0, 2, 4, 4, 3, 4, 2, 0, 0, 4, 2, 4, 2, 4, 2, 3, 1, 0, 4, 2, 3, 0, 4, 2, 3, 2, 4, 1, 3, 0, 0, 2, 2, 4, 1, 0, 4, 1, 4, 2, 4, 3, 2, 4, 4, 3, 1, 0, 4, 0, 2, 3, 0, 4, 0, 2, 3, 2, 4, 4, 4, 2, 2, 0, 2, 1, 4, 2, 4, 4, 4, 4, 4, 4, 0, 2, 4, 0, 0, 1, 1, 3, 2, 3, 1, 1, 0, 0, 2, 3, 3, 3, 3, 2, 0, 3, 1, 4, 1, 0, 1, 0, 3, 0, 1, 0, 3, 3, 4, 2, 0, 0, 1, 0, 1, 4, 1, 2, 2, 0, 0, 1, 4, 3, 2, 3, 0, 2, 1, 4, 0, 0, 0, 2, 0, 0, 1, 1, 2, 3, 4, 2, 3, 4, 2, 4, 3, 0, 4, 1, 4, 2, 1, 2, 4, 4, 0, 4, 0, 2, 4, 4, 0, 3, 3, 2, 1, 4, 3, 2, 0, 2, 3, 3, 2, 3, 1, 1, 2, 4, 3, 0, 3, 3, 4, 4, 2, 2, 0, 3, 3, 1, 4, 3, 4, 3, 3, 3, 2, 1, 2, 4, 0, 3, 1, 0, 0, 1, 3, 2] pubkeycol771 = [2, 2, 3, 0, 3, 0, 1, 1, 4, 2, 0, 4, 2, 2, 0, 2, 1, 4, 3, 1, 3, 4, 0, 1, 2, 3, 4, 0, 0, 1, 2, 1, 2, 3, 3, 3, 4, 2, 2, 0, 2, 2, 4, 3, 3, 0, 4, 4, 3, 0, 2, 1, 2, 2, 2, 2, 3, 0, 4, 0, 2, 0, 4, 4, 1, 1, 4, 0, 1, 0, 3, 2, 0, 2, 3, 4, 1, 1, 4, 1, 0, 2, 2, 2, 2, 3, 4, 1, 4, 3, 3, 2, 3, 2, 1, 0, 4, 3, 1, 4, 3, 0, 4, 3, 0, 1, 2, 1, 3, 3, 3, 1, 2, 0, 2, 4, 3, 0, 1, 2, 1, 1, 4, 4, 3, 4, 1, 4, 4, 1, 3, 1, 2, 1, 4, 2, 1, 4, 1, 4, 0, 1, 1, 1, 2, 0, 2, 4, 2, 1, 2, 0, 0, 0, 1, 4, 1, 0, 4, 3, 3, 3, 3, 1, 2, 4, 0, 1, 1, 1, 4, 4, 4, 0, 4, 3, 3, 0, 0, 2, 1, 4, 2, 0, 4, 3, 4, 3, 1, 4, 0, 3, 3, 1, 2, 0, 4, 2, 0, 0, 4, 3, 3, 0, 0, 2, 0, 4, 1, 0, 4, 1, 4, 3, 3, 3, 2, 0, 3, 2, 2, 0, 3, 1, 1, 1, 0, 3, 2, 4, 2, 3, 4, 1, 2, 1, 2, 2, 0, 4, 1, 4, 2, 4, 1, 4, 2, 2, 4, 1, 2, 0, 4, 0, 4, 3, 0, 2, 1, 2, 2, 1, 3, 2, 3, 1, 2, 1, 3, 1, 3, 4, 2, 2, 1, 0, 0, 3, 0, 0, 2, 0, 2, 3, 3, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 4, 1, 3, 1, 0, 1, 2, 3, 0, 0, 3, 2, 2, 1, 1, 0, 1, 0, 3, 4, 4, 0, 0, 2, 2, 2, 2, 3, 2, 4, 3, 2, 3, 4, 0, 4, 1, 3, 2, 1, 4, 4, 3, 4, 4, 4, 3, 3, 1, 3, 1, 2, 3, 1, 4, 2, 0, 1, 1, 2, 4, 0, 4, 3, 0, 1, 2, 1, 4, 0, 3, 4, 3, 3, 1, 4, 1, 3, 1, 1, 1, 2, 2, 3, 2, 4, 0, 3, 3, 4, 1, 1, 3, 0, 3, 4, 4, 4, 1, 3, 0, 2, 1, 1, 1] pubkeycol772 = [3, 0, 2, 3, 3, 2, 1, 2, 4, 3, 3, 0, 3, 4, 0, 0, 2, 0, 1, 2, 4, 2, 4, 3, 3, 2, 0, 1, 0, 1, 0, 4, 3, 4, 3, 2, 1, 1, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 1, 1, 2, 4, 2, 4, 1, 2, 1, 1, 0, 0, 1, 3, 4, 2, 0, 2, 1, 1, 4, 0, 0, 0, 0, 2, 0, 4, 4, 1, 3, 1, 1, 0, 3, 0, 1, 0, 1, 4, 2, 0, 1, 1, 4, 0, 2, 3, 3, 4, 3, 1, 0, 2, 2, 4, 2, 1, 4, 1, 4, 4, 2, 1, 4, 0, 3, 1, 3, 1, 3, 1, 2, 1, 4, 4, 0, 3, 0, 0, 2, 1, 4, 4, 3, 4, 2, 1, 3, 2, 2, 1, 0, 4, 2, 1, 3, 1, 3, 0, 0, 1, 4, 2, 1, 1, 3, 1, 0, 1, 3, 1, 2, 1, 2, 1, 3, 2, 4, 3, 2, 1, 3, 4, 3, 0, 4, 3, 1, 2, 1, 0, 2, 2, 2, 4, 2, 4, 1, 2, 0, 1, 1, 1, 3, 3, 4, 4, 4, 2, 0, 1, 4, 3, 2, 1, 3, 1, 3, 0, 3, 2, 2, 1, 3, 0, 3, 0, 1, 1, 1, 0, 0, 4, 4, 4, 4, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 3, 0, 1, 0, 4, 3, 3, 1, 3, 2, 3, 4, 2, 3, 0, 4, 3, 4, 0, 0, 1, 4, 1, 3, 2, 0, 1, 1, 3, 2, 0, 4, 3, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 4, 3, 1, 0, 2, 3, 1, 2, 4, 4, 0, 3, 3, 3, 0, 0, 2, 0, 4, 4, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 1, 3, 4, 3, 2, 2, 2, 0, 0, 2, 1, 4, 4, 2, 2, 4, 0, 3, 4, 2, 1, 2, 2, 2, 2, 4, 3, 2, 3, 4, 1, 1, 2, 1, 3, 2, 3, 1, 1, 1, 2, 3, 0, 4, 3, 4, 3, 4, 2, 4, 0, 3, 4, 1, 4, 0, 4, 2, 2, 1, 4, 1, 4, 3, 4, 0, 3, 2, 3, 1, 0, 3, 2, 3, 0, 3, 4, 2, 0, 3, 3, 2, 4, 2, 0, 2, 2, 0] pubkeycol773 = [4, 2, 1, 1, 3, 0, 4, 2, 3, 3, 1, 4, 4, 2, 0, 2, 4, 1, 3, 0, 2, 1, 1, 0, 3, 0, 4, 3, 4, 2, 4, 4, 4, 1, 3, 0, 0, 2, 3, 2, 2, 4, 4, 1, 2, 4, 2, 0, 4, 2, 1, 0, 0, 1, 1, 4, 4, 3, 0, 4, 1, 4, 4, 2, 4, 3, 2, 4, 2, 0, 4, 4, 4, 3, 3, 3, 0, 4, 0, 4, 3, 4, 3, 4, 0, 0, 2, 1, 4, 4, 2, 0, 1, 2, 1, 2, 1, 0, 2, 3, 2, 3, 1, 2, 0, 4, 4, 4, 4, 0, 2, 4, 3, 2, 4, 0, 1, 2, 4, 1, 1, 2, 1, 3, 4, 3, 0, 3, 2, 0, 4, 0, 0, 3, 1, 2, 1, 0, 0, 2, 2, 2, 3, 4, 4, 2, 4, 1, 4, 0, 3, 3, 4, 2, 1, 3, 4, 4, 4, 0, 4, 2, 4, 1, 3, 4, 0, 1, 3, 4, 2, 4, 2, 0, 3, 3, 2, 2, 1, 1, 3, 3, 3, 2, 2, 3, 0, 0, 0, 3, 4, 2, 3, 4, 4, 2, 0, 3, 4, 2, 0, 4, 0, 3, 4, 0, 2, 0, 3, 4, 0, 3, 3, 0, 4, 2, 4, 2, 4, 4, 3, 4, 0, 3, 2, 4, 1, 3, 4, 4, 0, 2, 2, 4, 3, 4, 3, 0, 4, 4, 2, 1, 2, 0, 4, 2, 2, 0, 3, 1, 1, 0, 3, 0, 4, 0, 2, 4, 0, 2, 4, 0, 1, 3, 0, 1, 3, 4, 1, 1, 1, 1, 4, 0, 1, 4, 0, 0, 1, 1, 0, 1, 0, 4, 2, 4, 3, 2, 3, 3, 3, 1, 4, 3, 4, 0, 2, 1, 0, 2, 3, 2, 4, 2, 0, 3, 1, 3, 4, 1, 0, 4, 0, 1, 0, 0, 3, 1, 0, 2, 4, 3, 4, 3, 3, 2, 1, 1, 3, 0, 4, 4, 4, 3, 3, 0, 3, 1, 4, 2, 0, 2, 0, 0, 4, 4, 1, 0, 2, 0, 0, 0, 0, 3, 4, 3, 0, 4, 3, 2, 3, 0, 3, 3, 3, 4, 1, 4, 1, 4, 3, 3, 2, 0, 0, 3, 3, 0, 4, 4, 4, 4, 2, 1, 0, 3, 4, 3, 4, 0, 4, 4, 0, 3, 4, 3, 0, 0, 3, 3] pubkeycol774 = [0, 1, 0, 4, 2, 2, 0, 1, 4, 2, 0, 0, 3, 2, 4, 3, 0, 3, 2, 2, 3, 2, 1, 2, 0, 4, 3, 0, 1, 3, 0, 2, 0, 4, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 3, 0, 3, 1, 3, 2, 1, 1, 2, 4, 3, 3, 0, 1, 1, 3, 0, 4, 2, 2, 2, 1, 2, 4, 3, 4, 4, 3, 3, 1, 1, 4, 2, 1, 1, 3, 2, 1, 4, 3, 2, 2, 0, 3, 4, 1, 0, 0, 0, 0, 4, 4, 4, 4, 4, 3, 1, 2, 1, 1, 3, 4, 2, 0, 4, 3, 4, 0, 4, 1, 0, 0, 4, 1, 0, 3, 2, 4, 1, 3, 0, 2, 3, 0, 0, 2, 1, 0, 0, 1, 3, 2, 2, 1, 0, 0, 2, 4, 3, 0, 3, 1, 1, 3, 2, 3, 2, 4, 1, 2, 4, 4, 2, 2, 4, 1, 4, 3, 2, 4, 1, 4, 1, 0, 3, 1, 3, 0, 1, 0, 0, 0, 0, 1, 2, 2, 4, 3, 4, 3, 2, 2, 4, 1, 2, 3, 1, 0, 3, 1, 4, 1, 2, 3, 0, 0, 1, 4, 3, 0, 4, 2, 1, 1, 4, 0, 4, 3, 2, 3, 0, 4, 4, 1, 2, 1, 0, 0, 0, 4, 1, 3, 3, 2, 0, 4, 4, 0, 3, 1, 4, 2, 1, 2, 0, 2, 2, 2, 3, 2, 0, 1, 4, 0, 0, 3, 4, 0, 4, 1, 3, 2, 4, 3, 4, 3, 3, 0, 0, 2, 3, 4, 4, 3, 4, 0, 2, 4, 4, 2, 3, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 4, 0, 3, 1, 4, 0, 0, 3, 4, 1, 2, 1, 0, 0, 0, 3, 0, 4, 2, 3, 0, 2, 3, 1, 4, 0, 4, 1, 0, 0, 3, 3, 2, 2, 4, 1, 1, 2, 0, 3, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 2, 2, 4, 3, 3, 3, 1, 4, 4, 1, 3, 0, 4, 0, 4, 2, 1, 0, 2, 4, 3, 2, 2, 2, 3, 4, 1, 3, 4, 1, 1, 2, 4, 0, 3, 2, 1, 4, 4, 0, 0, 3, 0, 0, 2, 1, 1, 0, 4, 1, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol775 = [4, 1, 4, 1, 3, 4, 3, 0, 1, 2, 3, 1, 1, 3, 1, 2, 2, 4, 3, 2, 2, 2, 4, 1, 4, 0, 1, 0, 3, 4, 2, 4, 3, 1, 0, 4, 0, 3, 2, 2, 1, 1, 4, 2, 1, 2, 1, 2, 1, 3, 3, 2, 0, 4, 3, 4, 2, 1, 1, 1, 3, 3, 2, 1, 3, 0, 1, 1, 1, 4, 2, 0, 2, 0, 0, 4, 1, 3, 1, 1, 3, 1, 2, 2, 2, 4, 2, 4, 1, 1, 1, 4, 1, 3, 1, 2, 4, 4, 4, 1, 2, 3, 0, 1, 0, 0, 1, 0, 4, 1, 1, 1, 3, 4, 0, 4, 4, 4, 2, 4, 4, 1, 4, 4, 2, 1, 3, 2, 0, 3, 0, 3, 4, 2, 1, 3, 2, 4, 2, 0, 4, 4, 1, 4, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 2, 2, 3, 3, 1, 3, 2, 4, 4, 0, 1, 0, 0, 0, 2, 1, 0, 1, 3, 2, 2, 3, 0, 3, 2, 4, 0, 1, 2, 0, 1, 1, 3, 2, 0, 3, 4, 4, 3, 4, 3, 1, 0, 2, 2, 3, 0, 2, 0, 1, 3, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 0, 1, 2, 0, 3, 0, 3, 4, 4, 0, 2, 0, 4, 2, 3, 3, 4, 0, 4, 2, 3, 2, 1, 2, 4, 1, 4, 1, 3, 3, 0, 1, 0, 1, 1, 4, 3, 1, 2, 2, 1, 4, 0, 1, 1, 3, 0, 0, 0, 1, 1, 3, 0, 0, 2, 3, 1, 1, 2, 0, 4, 0, 0, 3, 0, 2, 0, 4, 3, 4, 0, 4, 3, 4, 2, 4, 0, 1, 2, 2, 4, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 4, 4, 0, 2, 3, 4, 2, 4, 1, 4, 3, 1, 3, 2, 1, 4, 1, 2, 3, 4, 3, 4, 0, 4, 2, 2, 4, 4, 4, 4, 4, 4, 0, 4, 4, 3, 0, 1, 0, 1, 1, 1, 0, 4, 3, 1, 3, 2, 0, 1, 0, 0, 0, 3, 2, 3, 4, 4, 1, 1, 4, 0, 4, 1, 1, 3, 4, 3, 0, 1, 0, 2, 1, 0, 0, 1, 0, 3, 1, 0, 4, 3, 0, 1, 3, 4, 0, 4, 3, 0, 4, 4] pubkeycol776 = [3, 3, 2, 0, 3, 0, 2, 0, 4, 4, 2, 3, 2, 1, 1, 2, 4, 1, 3, 2, 1, 4, 2, 3, 2, 4, 1, 2, 4, 4, 4, 3, 0, 3, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 4, 0, 0, 2, 0, 4, 1, 1, 0, 3, 2, 0, 2, 2, 0, 0, 4, 3, 3, 0, 3, 3, 4, 1, 4, 0, 3, 0, 3, 0, 1, 0, 4, 3, 4, 4, 4, 4, 1, 0, 0, 0, 0, 2, 3, 2, 4, 4, 0, 1, 3, 1, 3, 4, 1, 3, 4, 4, 0, 4, 4, 4, 2, 1, 2, 0, 3, 0, 0, 3, 0, 1, 3, 4, 0, 2, 2, 1, 1, 3, 4, 3, 1, 3, 1, 1, 4, 1, 2, 0, 3, 0, 2, 1, 2, 3, 2, 0, 2, 0, 4, 3, 3, 0, 0, 1, 3, 4, 0, 1, 3, 4, 0, 1, 2, 4, 3, 0, 4, 2, 2, 4, 3, 2, 3, 4, 2, 0, 1, 0, 2, 3, 1, 1, 1, 2, 1, 1, 3, 0, 4, 1, 1, 0, 3, 4, 3, 2, 2, 3, 2, 1, 0, 4, 3, 0, 2, 0, 3, 3, 1, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 3, 1, 1, 4, 4, 3, 0, 1, 2, 3, 3, 2, 4, 4, 3, 3, 1, 1, 2, 4, 0, 3, 0, 3, 4, 2, 2, 4, 1, 4, 2, 4, 3, 3, 4, 1, 0, 2, 0, 4, 4, 0, 4, 0, 2, 2, 3, 1, 0, 1, 1, 3, 3, 3, 2, 4, 3, 3, 0, 2, 4, 2, 0, 0, 0, 2, 0, 3, 1, 0, 4, 1, 4, 0, 3, 1, 4, 3, 3, 0, 3, 0, 3, 1, 2, 3, 4, 0, 4, 3, 0, 2, 4, 3, 1, 2, 2, 0, 1, 0, 4, 3, 1, 4, 4, 1, 2, 0, 4, 0, 1, 2, 3, 2, 4, 4, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 4, 3, 1, 3, 4, 3, 4, 2, 4, 3, 0, 2, 2, 4, 2, 1, 4, 3, 4, 3, 0, 1, 4, 2, 2, 0, 1, 3, 0, 0, 1, 2, 0, 4, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 4, 4, 1, 2, 4, 4, 4, 3, 4, 1, 4, 2, 3] pubkeycol777 = [1, 2, 0, 4, 4, 2, 1, 0, 0, 4, 4, 3, 1, 2, 3, 1, 1, 0, 2, 1, 0, 2, 3, 0, 4, 4, 4, 3, 4, 2, 3, 0, 4, 0, 2, 3, 3, 2, 0, 1, 3, 0, 0, 2, 3, 4, 0, 2, 0, 0, 4, 3, 4, 2, 1, 2, 1, 3, 0, 4, 4, 4, 4, 2, 0, 1, 0, 4, 4, 0, 1, 3, 3, 4, 0, 1, 4, 1, 2, 0, 4, 2, 1, 2, 3, 4, 4, 0, 0, 0, 2, 2, 0, 0, 3, 4, 3, 0, 1, 0, 1, 1, 4, 3, 1, 2, 0, 4, 1, 4, 0, 2, 3, 1, 2, 2, 3, 2, 4, 2, 1, 0, 2, 3, 3, 0, 2, 0, 2, 0, 1, 3, 2, 1, 3, 4, 2, 3, 1, 0, 3, 4, 3, 2, 1, 2, 1, 1, 4, 1, 4, 1, 2, 4, 3, 2, 0, 3, 1, 2, 1, 0, 3, 1, 4, 3, 3, 0, 1, 0, 1, 2, 1, 1, 1, 4, 3, 1, 2, 2, 2, 1, 4, 0, 3, 0, 4, 3, 1, 3, 1, 4, 4, 0, 3, 0, 0, 0, 2, 1, 3, 4, 3, 0, 4, 4, 0, 0, 2, 2, 3, 2, 0, 3, 0, 3, 1, 1, 2, 2, 1, 2, 0, 4, 2, 0, 0, 4, 1, 3, 0, 2, 0, 4, 2, 0, 0, 4, 0, 4, 0, 2, 4, 4, 2, 4, 0, 2, 4, 3, 0, 3, 3, 3, 4, 1, 4, 4, 4, 4, 0, 2, 2, 0, 0, 0, 0, 4, 1, 3, 2, 0, 3, 0, 3, 0, 3, 4, 0, 0, 2, 3, 4, 4, 2, 1, 4, 4, 4, 0, 1, 4, 3, 1, 2, 4, 3, 3, 0, 4, 1, 1, 0, 4, 3, 2, 3, 4, 4, 4, 4, 4, 3, 4, 1, 2, 2, 0, 4, 2, 4, 3, 0, 0, 2, 4, 2, 1, 0, 1, 4, 1, 3, 4, 1, 3, 2, 1, 1, 4, 3, 1, 3, 4, 0, 1, 1, 3, 2, 2, 3, 4, 2, 4, 2, 0, 0, 0, 4, 0, 3, 1, 3, 2, 1, 1, 1, 3, 4, 4, 3, 1, 2, 4, 1, 1, 0, 0, 3, 3, 0, 4, 3, 0, 1, 0, 0, 3, 0, 3, 2, 4, 2, 0, 1, 2, 0, 2, 3, 0] pubkeycol778 = [3, 2, 2, 2, 0, 2, 4, 1, 3, 4, 3, 0, 1, 1, 0, 2, 0, 1, 4, 0, 4, 3, 2, 3, 1, 1, 0, 1, 0, 3, 4, 1, 4, 2, 3, 0, 3, 2, 3, 0, 0, 2, 3, 2, 3, 4, 4, 2, 3, 0, 3, 3, 3, 1, 3, 4, 2, 4, 1, 4, 0, 0, 3, 0, 4, 3, 0, 3, 4, 2, 2, 0, 1, 4, 0, 2, 0, 4, 0, 1, 1, 3, 1, 3, 2, 1, 0, 4, 0, 0, 2, 2, 4, 4, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 4, 0, 2, 4, 1, 1, 2, 1, 2, 1, 0, 2, 3, 4, 4, 4, 4, 4, 0, 2, 2, 4, 4, 0, 3, 2, 2, 0, 0, 2, 1, 2, 4, 1, 4, 0, 4, 3, 0, 3, 1, 4, 0, 2, 3, 0, 1, 1, 4, 3, 2, 0, 1, 3, 1, 1, 2, 1, 3, 2, 0, 0, 2, 2, 4, 2, 1, 1, 1, 1, 1, 0, 4, 0, 2, 4, 3, 4, 2, 2, 0, 3, 0, 0, 0, 0, 3, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 3, 3, 1, 3, 1, 4, 3, 1, 0, 0, 0, 3, 4, 3, 3, 3, 1, 0, 1, 4, 4, 1, 2, 3, 2, 2, 3, 1, 3, 4, 0, 4, 3, 1, 1, 2, 4, 0, 0, 3, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 3, 3, 1, 4, 3, 4, 0, 1, 0, 4, 1, 0, 4, 1, 4, 2, 3, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 4, 3, 2, 2, 0, 3, 1, 3, 4, 2, 4, 0, 1, 2, 1, 1, 0, 0, 0, 4, 2, 4, 3, 2, 4, 4, 4, 0, 2, 2, 3, 2, 1, 4, 2, 1, 4, 3, 2, 4, 2, 4, 3, 3, 3, 2, 2, 2, 0, 3, 1, 1, 4, 1, 1, 3, 0, 3, 2, 0, 3, 4, 0, 4, 1, 0, 3, 3, 0, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 3, 1, 3, 3, 2, 0, 2, 2, 2, 3, 4, 3, 1, 1, 3, 0, 2, 3, 0, 0, 0, 4, 2, 3, 2, 3, 0, 2, 4, 2, 1, 3] pubkeycol779 = [3, 4, 1, 3, 4, 3, 3, 0, 0, 0, 2, 4, 4, 2, 3, 2, 0, 3, 1, 3, 3, 2, 2, 4, 3, 1, 1, 0, 0, 3, 3, 2, 3, 3, 1, 0, 0, 3, 1, 3, 3, 3, 1, 4, 4, 4, 4, 2, 0, 4, 4, 4, 3, 4, 1, 2, 2, 2, 2, 2, 1, 1, 0, 3, 2, 3, 3, 0, 4, 0, 4, 2, 1, 1, 4, 2, 0, 2, 2, 2, 2, 3, 3, 2, 2, 3, 1, 2, 3, 4, 3, 0, 3, 0, 4, 3, 3, 3, 0, 0, 0, 0, 3, 1, 1, 4, 1, 1, 1, 2, 2, 3, 3, 1, 3, 3, 0, 0, 0, 4, 4, 3, 0, 3, 2, 0, 0, 3, 3, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 4, 0, 2, 3, 3, 2, 4, 1, 4, 4, 0, 2, 4, 0, 4, 2, 1, 1, 2, 1, 0, 0, 3, 3, 0, 1, 0, 1, 0, 4, 3, 4, 0, 4, 2, 0, 1, 3, 3, 2, 2, 0, 3, 0, 4, 3, 1, 2, 0, 1, 1, 0, 2, 3, 4, 3, 0, 2, 1, 1, 2, 2, 1, 3, 1, 2, 4, 1, 0, 3, 0, 2, 1, 2, 0, 1, 2, 3, 2, 0, 2, 1, 4, 0, 0, 1, 2, 3, 1, 1, 3, 3, 2, 2, 0, 0, 1, 2, 3, 4, 1, 1, 3, 0, 0, 3, 0, 4, 2, 2, 4, 0, 3, 2, 0, 3, 2, 3, 3, 0, 0, 4, 3, 2, 2, 0, 4, 0, 0, 1, 4, 1, 0, 0, 0, 1, 4, 2, 3, 4, 4, 4, 4, 4, 3, 3, 0, 1, 3, 1, 2, 3, 1, 1, 4, 4, 0, 2, 4, 2, 2, 0, 2, 3, 4, 2, 4, 0, 2, 3, 4, 2, 3, 0, 0, 1, 0, 0, 4, 4, 1, 2, 2, 3, 4, 0, 0, 0, 2, 4, 1, 2, 3, 4, 0, 0, 1, 4, 4, 2, 1, 4, 1, 1, 0, 3, 1, 3, 1, 2, 4, 3, 4, 1, 4, 3, 1, 4, 0, 0, 3, 1, 3, 3, 2, 2, 1, 1, 2, 0, 0, 4, 3, 1, 0, 4, 3, 1, 4, 4, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 4, 1, 3, 1, 2, 4, 3, 1, 1, 0] pubkeycol780 = [4, 4, 2, 0, 0, 2, 4, 4, 1, 3, 2, 3, 4, 1, 0, 3, 1, 4, 0, 2, 3, 0, 1, 4, 2, 2, 4, 2, 2, 3, 1, 3, 2, 2, 2, 1, 1, 0, 2, 1, 3, 1, 4, 1, 4, 0, 1, 2, 2, 4, 2, 1, 2, 2, 4, 2, 3, 0, 1, 2, 3, 4, 0, 2, 2, 0, 2, 3, 3, 3, 4, 2, 3, 1, 2, 2, 2, 4, 2, 0, 2, 0, 1, 2, 3, 0, 4, 2, 2, 2, 2, 4, 1, 0, 0, 3, 4, 1, 3, 3, 1, 2, 2, 4, 3, 2, 3, 3, 4, 2, 0, 0, 2, 4, 1, 4, 1, 1, 3, 2, 3, 2, 1, 0, 2, 4, 2, 4, 0, 4, 2, 1, 3, 0, 0, 4, 2, 2, 0, 1, 0, 4, 4, 1, 4, 3, 1, 2, 2, 1, 0, 4, 3, 0, 0, 3, 0, 2, 0, 2, 1, 3, 1, 3, 1, 4, 2, 4, 0, 4, 4, 0, 4, 1, 1, 3, 2, 1, 1, 4, 0, 1, 0, 1, 0, 1, 4, 1, 1, 3, 0, 4, 4, 3, 2, 4, 3, 4, 0, 0, 4, 0, 4, 3, 3, 2, 1, 0, 3, 0, 3, 3, 1, 0, 2, 3, 0, 4, 4, 4, 2, 4, 3, 0, 0, 2, 4, 1, 0, 2, 0, 3, 4, 2, 2, 1, 1, 2, 4, 4, 4, 4, 0, 2, 3, 4, 3, 2, 1, 4, 0, 3, 0, 2, 0, 4, 0, 4, 1, 2, 0, 0, 0, 4, 1, 1, 2, 0, 3, 2, 0, 3, 4, 4, 2, 3, 1, 4, 0, 2, 3, 1, 0, 3, 3, 2, 0, 0, 2, 1, 1, 3, 1, 2, 3, 0, 3, 2, 3, 4, 2, 3, 4, 0, 1, 0, 3, 2, 0, 1, 1, 2, 0, 2, 4, 0, 1, 0, 0, 2, 1, 1, 2, 3, 1, 1, 2, 3, 2, 4, 3, 4, 0, 1, 2, 0, 4, 4, 3, 1, 0, 1, 3, 2, 3, 4, 2, 0, 3, 4, 2, 4, 2, 0, 0, 4, 0, 3, 4, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 3, 1, 4, 4, 3, 1, 1, 0, 3, 2, 3, 3, 4, 3, 2, 3, 4, 1, 4, 2, 2, 1, 3, 2, 2, 0, 4, 2] pubkeycol781 = [4, 4, 1, 3, 4, 1, 2, 4, 1, 2, 1, 1, 1, 3, 4, 2, 1, 2, 1, 4, 2, 2, 4, 3, 3, 4, 4, 3, 4, 4, 0, 0, 2, 3, 2, 1, 3, 3, 1, 1, 3, 4, 3, 3, 3, 2, 4, 4, 1, 2, 1, 1, 1, 3, 1, 3, 4, 3, 0, 0, 4, 1, 2, 3, 0, 4, 3, 4, 0, 4, 3, 2, 4, 3, 1, 1, 3, 0, 2, 0, 2, 0, 3, 4, 2, 1, 1, 4, 4, 1, 3, 4, 3, 3, 0, 0, 4, 1, 3, 1, 1, 0, 0, 0, 1, 2, 0, 2, 4, 1, 4, 0, 2, 0, 2, 3, 3, 0, 1, 2, 0, 0, 3, 2, 1, 3, 3, 2, 0, 2, 0, 0, 1, 3, 0, 1, 1, 4, 1, 0, 3, 2, 0, 0, 3, 4, 1, 4, 3, 0, 4, 2, 2, 3, 3, 1, 1, 1, 1, 0, 4, 3, 2, 0, 1, 3, 1, 4, 2, 0, 1, 0, 3, 3, 4, 4, 0, 0, 3, 4, 1, 4, 1, 0, 0, 3, 1, 3, 4, 4, 4, 4, 3, 4, 1, 1, 0, 2, 4, 0, 3, 3, 1, 4, 4, 3, 0, 4, 4, 4, 4, 1, 3, 3, 3, 4, 4, 1, 0, 3, 0, 4, 1, 2, 2, 0, 1, 3, 4, 2, 1, 0, 4, 1, 3, 3, 4, 1, 0, 1, 0, 1, 3, 0, 4, 1, 4, 1, 3, 4, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 4, 1, 2, 3, 2, 0, 0, 1, 1, 2, 4, 4, 1, 4, 4, 2, 0, 1, 0, 2, 4, 1, 3, 2, 4, 0, 0, 0, 4, 3, 0, 4, 4, 3, 0, 3, 1, 4, 4, 1, 2, 1, 0, 3, 4, 0, 3, 4, 3, 3, 1, 3, 3, 1, 3, 1, 1, 1, 0, 3, 1, 1, 2, 0, 4, 0, 4, 3, 0, 4, 4, 3, 1, 1, 4, 1, 1, 4, 4, 3, 0, 1, 2, 1, 3, 2, 3, 2, 1, 0, 2, 3, 2, 4, 3, 4, 1, 3, 2, 2, 0, 0, 3, 4, 3, 4, 1, 0, 1, 3, 1, 4, 2, 0, 1, 1, 0, 3, 0, 3, 1, 0, 2, 4, 2, 3, 1, 3, 1, 3, 2, 1, 3, 2, 0, 1, 2, 3, 0] pubkeycol782 = [0, 3, 1, 2, 3, 2, 0, 0, 3, 1, 1, 4, 2, 3, 0, 1, 2, 3, 2, 1, 1, 4, 0, 0, 4, 1, 1, 3, 4, 0, 2, 3, 2, 2, 1, 0, 2, 3, 2, 3, 4, 3, 4, 2, 1, 0, 2, 0, 2, 3, 0, 4, 0, 3, 1, 0, 0, 4, 4, 2, 1, 4, 2, 1, 0, 4, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 3, 2, 1, 0, 4, 3, 3, 3, 0, 1, 4, 0, 0, 3, 1, 3, 1, 1, 2, 4, 2, 1, 0, 4, 0, 3, 1, 3, 3, 3, 4, 0, 1, 3, 3, 4, 3, 0, 4, 1, 4, 2, 3, 2, 0, 3, 0, 1, 3, 4, 4, 3, 1, 0, 1, 4, 0, 2, 4, 1, 3, 4, 4, 2, 1, 4, 1, 2, 1, 4, 1, 0, 2, 0, 1, 0, 4, 2, 2, 3, 1, 0, 0, 3, 0, 0, 1, 1, 3, 3, 1, 3, 0, 2, 4, 4, 0, 2, 4, 0, 3, 2, 4, 1, 3, 3, 0, 1, 4, 3, 4, 1, 0, 0, 2, 2, 4, 0, 2, 4, 1, 4, 3, 4, 4, 4, 0, 3, 3, 3, 0, 2, 0, 2, 3, 0, 1, 1, 4, 1, 0, 1, 0, 2, 4, 2, 3, 2, 2, 1, 0, 4, 3, 3, 2, 4, 1, 0, 0, 2, 0, 2, 4, 4, 1, 0, 2, 2, 0, 4, 4, 4, 1, 1, 0, 2, 2, 1, 4, 4, 0, 1, 0, 0, 1, 0, 3, 2, 4, 2, 1, 1, 3, 4, 1, 3, 0, 3, 4, 2, 4, 3, 2, 1, 4, 4, 2, 4, 0, 3, 0, 4, 3, 1, 1, 1, 2, 4, 4, 3, 0, 3, 1, 3, 4, 4, 3, 4, 3, 1, 0, 0, 0, 1, 1, 1, 2, 0, 4, 4, 0, 1, 4, 1, 4, 4, 1, 1, 3, 0, 4, 4, 1, 0, 1, 4, 2, 1, 0, 2, 3, 3, 1, 0, 0, 4, 3, 3, 3, 2, 4, 1, 2, 4, 2, 3, 1, 1, 1, 0, 2, 3, 3, 3, 3, 1, 0, 0, 3, 1, 1, 1, 1, 3, 0, 1, 0, 0, 1, 0, 0, 4, 1, 1, 2, 4, 3, 3, 3, 0, 2, 3, 3, 1, 4, 0, 1, 4, 2, 1, 4, 0] pubkeycol783 = [2, 4, 4, 3, 4, 2, 3, 0, 2, 3, 0, 2, 3, 1, 4, 2, 2, 2, 0, 2, 4, 2, 3, 4, 3, 3, 3, 2, 2, 0, 3, 0, 1, 3, 2, 3, 3, 0, 0, 3, 2, 1, 0, 3, 4, 3, 1, 0, 1, 3, 1, 0, 4, 1, 3, 3, 2, 3, 1, 0, 2, 4, 1, 3, 2, 2, 2, 3, 2, 1, 4, 0, 3, 0, 1, 2, 3, 3, 3, 2, 2, 0, 1, 1, 4, 1, 4, 1, 1, 2, 1, 4, 0, 2, 2, 1, 3, 1, 3, 0, 4, 3, 3, 2, 4, 3, 2, 1, 1, 4, 4, 4, 3, 1, 3, 3, 0, 3, 4, 0, 2, 3, 0, 2, 3, 4, 1, 0, 2, 0, 2, 2, 4, 1, 2, 2, 3, 0, 1, 2, 4, 3, 4, 2, 2, 1, 4, 4, 4, 0, 2, 3, 1, 3, 3, 2, 1, 0, 0, 0, 0, 1, 3, 2, 3, 0, 1, 2, 2, 1, 3, 1, 3, 1, 1, 4, 0, 3, 3, 3, 3, 0, 0, 4, 1, 1, 0, 2, 4, 0, 3, 3, 2, 0, 4, 3, 0, 0, 0, 2, 4, 2, 0, 1, 0, 4, 4, 4, 1, 1, 1, 4, 4, 2, 0, 3, 1, 2, 2, 2, 2, 1, 0, 4, 0, 0, 3, 3, 3, 0, 0, 2, 4, 3, 3, 0, 0, 1, 4, 2, 4, 3, 3, 2, 0, 4, 0, 1, 0, 2, 1, 3, 1, 3, 2, 4, 2, 4, 3, 3, 1, 3, 1, 2, 3, 0, 4, 0, 1, 2, 1, 2, 2, 2, 2, 0, 3, 1, 4, 4, 3, 1, 4, 3, 4, 1, 4, 0, 2, 4, 1, 4, 2, 1, 1, 3, 0, 1, 4, 3, 4, 1, 0, 0, 1, 1, 4, 1, 0, 0, 1, 2, 3, 1, 3, 0, 3, 4, 4, 0, 1, 1, 3, 4, 1, 3, 2, 4, 1, 1, 0, 2, 0, 2, 4, 4, 0, 1, 1, 4, 3, 1, 2, 0, 3, 2, 3, 0, 1, 3, 1, 4, 2, 1, 0, 2, 1, 0, 3, 0, 1, 2, 1, 0, 4, 1, 1, 4, 4, 0, 0, 0, 4, 0, 2, 0, 1, 0, 1, 3, 1, 1, 3, 1, 3, 4, 4, 0, 1, 0, 3, 4, 0, 0, 4, 1, 4, 0, 0, 0] pubkeycol784 = [1, 1, 4, 0, 3, 2, 0, 2, 1, 0, 3, 4, 1, 3, 4, 0, 0, 2, 1, 4, 3, 4, 3, 1, 3, 1, 0, 3, 0, 3, 4, 4, 1, 1, 0, 0, 3, 4, 1, 4, 3, 1, 0, 1, 2, 3, 3, 2, 0, 1, 0, 4, 0, 3, 3, 0, 3, 1, 2, 1, 0, 0, 3, 3, 3, 0, 0, 1, 2, 0, 3, 1, 1, 4, 3, 1, 1, 1, 2, 2, 0, 3, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 3, 1, 4, 1, 1, 1, 3, 4, 3, 1, 4, 3, 4, 0, 1, 1, 2, 3, 1, 0, 1, 1, 4, 2, 2, 0, 3, 2, 3, 1, 2, 1, 2, 2, 3, 3, 2, 1, 0, 2, 1, 3, 1, 3, 2, 2, 0, 0, 2, 2, 4, 3, 3, 4, 3, 2, 4, 1, 2, 3, 1, 2, 3, 3, 3, 0, 3, 2, 3, 2, 2, 4, 0, 3, 1, 4, 3, 1, 2, 2, 0, 0, 3, 1, 1, 3, 0, 4, 2, 3, 3, 1, 1, 0, 0, 1, 3, 1, 1, 3, 0, 0, 4, 3, 1, 4, 0, 1, 1, 4, 0, 4, 1, 3, 1, 0, 3, 2, 3, 0, 0, 3, 1, 1, 3, 3, 4, 1, 0, 0, 1, 1, 4, 0, 1, 0, 3, 0, 3, 3, 1, 0, 4, 4, 1, 0, 2, 1, 3, 3, 1, 0, 4, 0, 1, 3, 4, 1, 4, 3, 0, 4, 4, 2, 2, 4, 1, 2, 2, 3, 3, 4, 2, 4, 1, 4, 2, 0, 2, 2, 0, 2, 2, 2, 0, 4, 4, 0, 2, 0, 3, 3, 1, 4, 0, 3, 2, 3, 2, 1, 2, 1, 4, 3, 2, 0, 3, 2, 2, 2, 3, 0, 3, 2, 4, 4, 2, 2, 2, 2, 4, 1, 3, 0, 2, 3, 1, 0, 1, 1, 4, 3, 4, 4, 4, 2, 4, 3, 0, 1, 3, 4, 4, 3, 4, 3, 3, 2, 1, 3, 0, 0, 1, 0, 4, 4, 2, 2, 3, 1, 3, 0, 2, 2, 3, 1, 1, 1, 0, 0, 1, 2, 4, 4, 2, 0, 1, 3, 0, 3, 3, 3, 3, 1, 0, 0, 3, 2, 2, 3, 4, 3, 0, 1, 4, 2, 4, 0, 4, 4, 1, 3, 4, 3, 4, 1] pubkeycol785 = [0, 2, 0, 1, 0, 0, 1, 4, 0, 0, 2, 0, 2, 3, 1, 0, 0, 4, 1, 3, 1, 3, 0, 0, 4, 0, 2, 0, 1, 3, 4, 1, 2, 2, 0, 1, 4, 1, 4, 4, 1, 4, 4, 3, 0, 4, 2, 1, 0, 2, 4, 1, 3, 4, 1, 1, 2, 3, 4, 2, 2, 0, 2, 1, 1, 2, 3, 2, 4, 4, 3, 2, 2, 3, 2, 2, 1, 2, 1, 4, 3, 3, 3, 0, 2, 4, 2, 0, 4, 2, 1, 1, 4, 3, 1, 4, 0, 4, 0, 1, 4, 2, 3, 1, 3, 1, 3, 1, 1, 1, 4, 1, 1, 0, 1, 1, 4, 3, 1, 0, 0, 0, 0, 3, 4, 3, 4, 4, 3, 1, 1, 0, 2, 1, 3, 4, 2, 2, 3, 2, 0, 3, 2, 4, 0, 1, 1, 2, 1, 3, 2, 4, 0, 3, 1, 0, 1, 3, 4, 4, 0, 0, 0, 0, 3, 4, 4, 2, 4, 1, 2, 4, 1, 1, 2, 2, 2, 0, 3, 3, 0, 3, 4, 2, 4, 4, 4, 2, 0, 4, 0, 0, 3, 2, 0, 0, 1, 0, 3, 0, 0, 4, 2, 1, 4, 3, 0, 2, 2, 3, 1, 3, 4, 3, 4, 1, 2, 1, 1, 0, 3, 4, 3, 2, 0, 2, 4, 1, 2, 4, 0, 2, 1, 3, 0, 1, 4, 0, 4, 4, 4, 3, 3, 0, 4, 2, 1, 0, 4, 4, 0, 0, 1, 1, 1, 2, 2, 1, 1, 3, 1, 4, 0, 1, 3, 3, 1, 3, 0, 1, 4, 4, 1, 0, 2, 3, 2, 4, 1, 4, 1, 0, 0, 1, 0, 2, 4, 0, 1, 4, 4, 0, 2, 4, 2, 0, 3, 0, 0, 3, 1, 0, 4, 4, 0, 2, 1, 0, 3, 4, 1, 3, 4, 4, 3, 2, 2, 4, 2, 3, 2, 0, 1, 1, 4, 4, 3, 2, 0, 0, 1, 4, 1, 4, 4, 4, 4, 0, 4, 0, 4, 3, 2, 3, 3, 4, 3, 4, 3, 2, 1, 1, 1, 0, 3, 0, 1, 1, 0, 1, 2, 4, 3, 4, 2, 2, 1, 3, 0, 3, 1, 3, 0, 2, 0, 3, 0, 3, 3, 2, 1, 3, 0, 3, 2, 2, 3, 4, 2, 0, 2, 2, 0, 4, 0, 0, 0, 2, 4, 1] pubkeycol786 = [0, 4, 1, 4, 3, 1, 4, 2, 1, 4, 2, 4, 2, 2, 1, 2, 3, 4, 2, 3, 4, 4, 1, 2, 2, 0, 0, 0, 4, 4, 2, 4, 4, 0, 0, 4, 0, 4, 4, 1, 1, 2, 1, 2, 3, 0, 0, 3, 2, 3, 2, 2, 4, 3, 2, 0, 1, 3, 1, 2, 0, 1, 4, 3, 2, 4, 4, 4, 0, 0, 4, 2, 2, 2, 2, 4, 0, 4, 2, 1, 0, 0, 0, 3, 3, 1, 4, 1, 0, 2, 1, 3, 3, 2, 4, 0, 1, 0, 3, 0, 1, 2, 0, 0, 2, 1, 3, 0, 4, 3, 4, 2, 3, 1, 0, 3, 2, 1, 0, 0, 1, 4, 0, 4, 0, 3, 2, 3, 1, 2, 0, 4, 3, 4, 0, 4, 1, 0, 4, 2, 3, 0, 2, 2, 0, 4, 0, 4, 0, 4, 2, 2, 1, 3, 1, 0, 0, 4, 4, 0, 1, 2, 1, 2, 4, 4, 3, 3, 3, 2, 0, 4, 1, 0, 3, 4, 0, 4, 0, 2, 3, 2, 1, 4, 3, 4, 0, 1, 3, 2, 0, 4, 3, 2, 3, 3, 2, 1, 0, 1, 2, 1, 2, 2, 2, 3, 4, 2, 4, 1, 3, 4, 2, 0, 0, 0, 3, 4, 1, 4, 1, 4, 2, 2, 0, 0, 3, 4, 4, 2, 0, 4, 1, 2, 3, 2, 0, 0, 3, 0, 0, 1, 2, 4, 0, 2, 2, 3, 4, 2, 0, 0, 2, 2, 1, 4, 4, 1, 2, 4, 3, 0, 2, 1, 0, 4, 4, 0, 2, 4, 1, 1, 0, 0, 2, 4, 0, 2, 0, 2, 3, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 4, 2, 3, 4, 2, 1, 3, 3, 1, 2, 3, 4, 0, 1, 0, 4, 0, 2, 4, 1, 2, 1, 4, 2, 2, 2, 1, 3, 2, 4, 3, 1, 0, 2, 4, 2, 3, 2, 2, 4, 2, 2, 2, 0, 1, 2, 4, 3, 2, 3, 3, 4, 2, 4, 4, 0, 1, 4, 4, 3, 1, 3, 3, 4, 4, 0, 3, 1, 0, 0, 1, 4, 2, 1, 3, 0, 3, 0, 1, 2, 1, 2, 0, 2, 4, 2, 1, 0, 3, 1, 1, 2, 1, 1, 1, 4, 3, 0, 1, 0, 4, 2, 2, 4, 1, 1, 3, 2, 2] pubkeycol787 = [4, 4, 2, 0, 0, 1, 3, 0, 2, 0, 3, 3, 3, 2, 4, 3, 2, 1, 4, 1, 4, 2, 3, 4, 2, 1, 0, 3, 4, 3, 0, 4, 4, 2, 1, 3, 1, 1, 2, 2, 2, 2, 4, 1, 2, 1, 4, 4, 0, 1, 2, 4, 4, 2, 0, 0, 4, 4, 3, 4, 4, 0, 1, 0, 1, 0, 0, 1, 3, 2, 1, 1, 4, 2, 4, 2, 4, 3, 4, 4, 4, 1, 4, 4, 4, 4, 2, 0, 4, 4, 1, 2, 1, 0, 2, 2, 3, 0, 1, 0, 2, 3, 2, 0, 4, 2, 0, 3, 2, 1, 3, 3, 4, 3, 4, 3, 3, 4, 0, 1, 0, 4, 1, 2, 1, 0, 3, 2, 0, 2, 0, 3, 3, 2, 4, 1, 2, 0, 2, 3, 4, 1, 1, 2, 0, 4, 0, 1, 2, 0, 4, 0, 1, 3, 2, 1, 1, 3, 1, 1, 4, 0, 4, 0, 3, 4, 3, 0, 4, 3, 2, 0, 3, 0, 2, 1, 4, 3, 4, 3, 2, 4, 2, 0, 2, 2, 4, 4, 4, 2, 0, 2, 2, 2, 3, 2, 2, 1, 3, 0, 4, 4, 4, 1, 1, 0, 2, 2, 0, 4, 0, 3, 2, 2, 4, 1, 2, 4, 1, 3, 1, 2, 4, 1, 0, 3, 0, 0, 2, 4, 2, 2, 2, 4, 0, 4, 1, 0, 1, 4, 2, 3, 2, 1, 3, 1, 1, 2, 0, 1, 2, 3, 2, 4, 4, 3, 4, 1, 3, 0, 3, 4, 3, 4, 4, 4, 2, 0, 4, 3, 4, 2, 0, 3, 4, 0, 1, 4, 1, 1, 4, 4, 1, 4, 0, 2, 4, 2, 4, 2, 0, 0, 3, 0, 3, 0, 2, 0, 1, 4, 3, 2, 3, 4, 0, 2, 1, 3, 2, 0, 1, 4, 3, 1, 0, 1, 4, 1, 0, 1, 0, 1, 2, 0, 4, 4, 4, 1, 4, 0, 1, 3, 2, 4, 2, 1, 1, 1, 0, 1, 3, 2, 3, 4, 3, 4, 2, 4, 2, 1, 2, 0, 4, 3, 0, 1, 1, 3, 4, 4, 0, 2, 1, 3, 2, 1, 2, 4, 0, 0, 4, 4, 4, 3, 3, 0, 3, 0, 2, 1, 3, 1, 2, 1, 2, 3, 2, 4, 2, 3, 4, 1, 1, 2, 4, 3, 3, 0, 1, 1] pubkeycol788 = [0, 3, 4, 3, 2, 1, 0, 4, 2, 4, 4, 3, 0, 4, 1, 2, 3, 3, 3, 4, 4, 3, 4, 4, 2, 4, 0, 2, 0, 0, 4, 4, 2, 4, 3, 3, 0, 3, 1, 0, 1, 1, 0, 3, 2, 1, 0, 4, 2, 3, 1, 0, 1, 2, 1, 2, 4, 2, 0, 1, 4, 1, 4, 4, 0, 1, 1, 4, 2, 2, 3, 0, 3, 1, 3, 1, 0, 1, 4, 2, 4, 2, 0, 1, 3, 0, 4, 1, 1, 1, 0, 1, 4, 2, 2, 0, 0, 3, 3, 3, 0, 0, 0, 4, 3, 0, 2, 4, 0, 2, 0, 4, 2, 1, 4, 0, 4, 0, 2, 0, 1, 4, 3, 0, 1, 3, 1, 1, 2, 3, 4, 0, 1, 4, 3, 0, 4, 2, 3, 2, 2, 3, 2, 3, 3, 4, 2, 4, 0, 4, 1, 2, 1, 4, 3, 2, 1, 3, 0, 1, 4, 1, 0, 2, 3, 3, 1, 0, 0, 2, 1, 4, 2, 3, 3, 1, 2, 4, 3, 0, 4, 2, 3, 4, 1, 2, 1, 2, 1, 3, 1, 3, 3, 3, 1, 0, 1, 1, 4, 2, 3, 0, 2, 0, 4, 0, 2, 1, 4, 0, 3, 1, 3, 3, 1, 4, 4, 1, 2, 2, 2, 0, 0, 1, 1, 0, 4, 2, 4, 0, 2, 1, 4, 0, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 2, 4, 1, 2, 3, 4, 2, 0, 1, 1, 0, 1, 1, 0, 3, 2, 3, 1, 1, 4, 0, 2, 1, 2, 0, 0, 1, 4, 3, 1, 1, 2, 0, 2, 0, 3, 4, 1, 1, 0, 2, 4, 3, 0, 2, 1, 0, 2, 3, 1, 1, 3, 2, 1, 3, 2, 0, 4, 4, 4, 1, 4, 2, 2, 4, 3, 4, 4, 3, 1, 4, 0, 0, 2, 2, 0, 4, 1, 3, 1, 1, 0, 1, 4, 2, 4, 0, 4, 0, 3, 3, 2, 2, 3, 0, 1, 2, 4, 4, 2, 4, 1, 0, 2, 1, 1, 0, 1, 0, 0, 4, 3, 4, 1, 0, 1, 2, 1, 1, 4, 0, 0, 3, 4, 4, 0, 3, 2, 4, 4, 3, 1, 4, 4, 3, 0, 2, 4, 1, 4, 1, 0, 2, 3, 2, 3, 4, 0, 3, 1, 0, 0, 4, 3, 0, 2] pubkeycol789 = [2, 4, 4, 2, 1, 0, 2, 4, 0, 4, 0, 3, 1, 0, 3, 0, 1, 2, 2, 2, 0, 4, 3, 4, 0, 2, 3, 3, 3, 2, 1, 3, 4, 3, 1, 1, 0, 2, 4, 0, 2, 3, 2, 3, 3, 1, 1, 2, 3, 4, 2, 1, 0, 4, 3, 1, 3, 4, 1, 4, 2, 4, 1, 0, 3, 4, 3, 0, 2, 3, 2, 4, 3, 2, 3, 1, 4, 3, 1, 2, 4, 3, 3, 1, 0, 0, 0, 0, 4, 1, 2, 3, 2, 0, 0, 2, 2, 1, 2, 4, 2, 0, 2, 2, 4, 3, 2, 0, 0, 3, 3, 4, 2, 1, 2, 2, 1, 4, 3, 4, 3, 4, 2, 0, 1, 1, 4, 3, 4, 4, 2, 2, 1, 3, 3, 4, 4, 3, 4, 3, 0, 4, 1, 0, 4, 2, 3, 0, 3, 4, 1, 0, 3, 2, 1, 0, 3, 0, 2, 1, 3, 2, 3, 0, 3, 3, 4, 4, 2, 3, 1, 2, 0, 4, 4, 0, 2, 1, 1, 4, 0, 4, 1, 1, 1, 1, 3, 0, 2, 4, 4, 2, 2, 0, 1, 4, 4, 3, 0, 0, 1, 1, 4, 3, 1, 0, 2, 4, 3, 4, 0, 0, 1, 3, 2, 3, 1, 0, 3, 3, 3, 3, 1, 3, 0, 4, 4, 3, 0, 3, 2, 0, 1, 4, 0, 4, 0, 4, 1, 2, 1, 2, 3, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 3, 4, 1, 4, 1, 4, 0, 2, 4, 4, 4, 2, 1, 4, 2, 2, 3, 2, 0, 3, 3, 2, 3, 1, 2, 4, 4, 0, 2, 2, 3, 0, 4, 4, 3, 4, 3, 4, 0, 3, 4, 2, 4, 4, 2, 4, 2, 1, 2, 4, 3, 0, 0, 1, 1, 2, 4, 4, 0, 1, 0, 3, 4, 4, 4, 2, 2, 3, 4, 4, 1, 1, 0, 4, 0, 2, 1, 3, 4, 3, 4, 4, 2, 4, 1, 3, 3, 0, 1, 1, 4, 3, 2, 1, 1, 4, 4, 2, 1, 3, 3, 2, 4, 4, 4, 3, 1, 3, 3, 0, 3, 0, 4, 2, 3, 0, 4, 2, 1, 1, 0, 2, 0, 4, 3, 1, 4, 2, 2, 3, 4, 4, 0, 2, 4, 0, 2, 1, 0, 3, 4, 0, 1, 0, 1, 1, 4] pubkeycol790 = [1, 2, 2, 0, 2, 1, 1, 4, 2, 4, 2, 3, 3, 4, 0, 3, 2, 2, 0, 4, 3, 4, 1, 2, 0, 3, 1, 4, 2, 2, 3, 2, 0, 4, 2, 1, 2, 4, 0, 3, 4, 2, 1, 4, 0, 3, 0, 1, 3, 1, 1, 4, 2, 1, 2, 0, 0, 2, 3, 3, 2, 4, 1, 2, 1, 3, 2, 1, 3, 0, 0, 0, 0, 1, 2, 2, 3, 4, 2, 2, 4, 1, 3, 3, 1, 1, 0, 3, 0, 2, 1, 3, 4, 1, 1, 2, 0, 2, 3, 0, 1, 2, 0, 4, 1, 3, 2, 4, 4, 3, 3, 2, 1, 0, 1, 3, 4, 1, 1, 0, 4, 4, 3, 3, 4, 4, 0, 2, 2, 2, 1, 2, 4, 3, 4, 0, 1, 2, 4, 2, 1, 2, 3, 0, 1, 3, 0, 2, 2, 3, 0, 3, 1, 3, 0, 2, 0, 2, 4, 1, 1, 4, 4, 2, 0, 2, 4, 2, 2, 3, 1, 3, 1, 0, 2, 1, 0, 1, 2, 1, 3, 2, 3, 1, 4, 4, 2, 0, 2, 1, 1, 2, 4, 0, 1, 1, 1, 2, 2, 3, 3, 0, 0, 0, 1, 2, 1, 0, 2, 3, 1, 1, 2, 4, 1, 3, 2, 2, 0, 4, 4, 3, 3, 2, 2, 0, 1, 2, 0, 3, 2, 2, 4, 0, 2, 1, 2, 2, 1, 3, 3, 1, 1, 0, 0, 3, 4, 4, 3, 1, 2, 2, 3, 4, 0, 0, 0, 4, 3, 3, 1, 3, 0, 0, 4, 0, 3, 1, 2, 1, 3, 0, 3, 3, 2, 0, 0, 1, 3, 4, 4, 4, 3, 3, 1, 1, 1, 4, 3, 2, 4, 4, 3, 1, 1, 0, 3, 1, 2, 2, 3, 4, 2, 3, 3, 2, 3, 3, 1, 2, 1, 0, 4, 0, 2, 4, 1, 2, 0, 2, 2, 0, 2, 3, 4, 2, 1, 4, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 1, 4, 2, 2, 4, 3, 4, 2, 1, 2, 3, 2, 3, 1, 4, 3, 2, 4, 4, 2, 1, 2, 2, 0, 3, 4, 1, 3, 1, 1, 4, 4, 1, 2, 2, 0, 4, 1, 0, 0, 1, 3, 1, 4, 0, 0, 2, 0, 4, 2, 0, 4, 0, 0, 3, 0, 0, 1, 3, 1, 2, 0] pubkeycol791 = [0, 4, 1, 1, 4, 0, 4, 0, 1, 3, 2, 0, 1, 0, 4, 2, 0, 1, 2, 2, 1, 3, 0, 0, 1, 2, 4, 2, 2, 3, 2, 3, 1, 0, 4, 4, 2, 2, 0, 2, 3, 1, 0, 3, 0, 3, 1, 3, 0, 2, 3, 3, 1, 0, 0, 1, 4, 4, 3, 4, 3, 1, 4, 1, 4, 2, 1, 3, 2, 2, 1, 0, 1, 2, 0, 4, 4, 4, 4, 2, 0, 0, 3, 2, 2, 1, 2, 0, 1, 2, 2, 3, 2, 4, 4, 4, 3, 0, 2, 2, 1, 1, 2, 4, 3, 2, 2, 2, 2, 3, 4, 3, 0, 4, 3, 0, 3, 1, 4, 2, 4, 0, 0, 2, 1, 4, 2, 1, 3, 1, 0, 1, 3, 3, 3, 0, 4, 4, 1, 4, 0, 0, 4, 2, 4, 2, 2, 2, 4, 1, 3, 1, 4, 0, 0, 2, 1, 0, 0, 4, 2, 1, 0, 4, 4, 0, 3, 3, 1, 2, 3, 1, 2, 4, 3, 0, 4, 3, 3, 2, 3, 4, 4, 1, 1, 0, 1, 4, 0, 4, 3, 4, 1, 3, 0, 2, 0, 0, 1, 3, 4, 4, 4, 0, 0, 4, 2, 3, 3, 1, 0, 1, 2, 1, 3, 0, 2, 1, 1, 1, 4, 4, 3, 1, 0, 0, 2, 1, 3, 2, 3, 4, 0, 4, 0, 3, 2, 0, 0, 1, 2, 1, 2, 2, 4, 3, 2, 1, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 3, 1, 2, 3, 0, 2, 1, 1, 3, 0, 3, 3, 4, 3, 4, 1, 2, 4, 4, 4, 4, 0, 0, 1, 3, 2, 3, 1, 0, 4, 4, 2, 3, 1, 4, 4, 4, 0, 2, 3, 0, 2, 2, 4, 3, 4, 2, 4, 1, 4, 1, 3, 3, 0, 0, 3, 0, 4, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 4, 3, 2, 2, 0, 0, 2, 3, 4, 3, 1, 4, 1, 0, 3, 3, 4, 2, 0, 2, 2, 0, 1, 4, 2, 3, 1, 1, 1, 2, 3, 1, 4, 3, 4, 2, 2, 0, 2, 0, 2, 3, 3, 1, 4, 4, 0, 0, 3, 1, 2, 3, 3, 1, 1, 3, 1, 4, 1, 2, 4, 1, 0, 3, 4, 2, 3, 0, 3, 3, 3, 0] pubkeycol792 = [2, 4, 3, 0, 4, 4, 1, 2, 2, 2, 0, 3, 2, 4, 3, 0, 3, 0, 2, 4, 4, 1, 4, 4, 2, 2, 0, 0, 1, 2, 4, 4, 1, 3, 3, 3, 4, 0, 2, 0, 1, 1, 2, 1, 4, 1, 4, 4, 2, 0, 1, 0, 3, 4, 1, 2, 4, 3, 4, 4, 2, 0, 0, 4, 4, 0, 0, 1, 0, 0, 0, 3, 2, 1, 1, 2, 3, 3, 3, 0, 4, 4, 2, 0, 4, 2, 1, 4, 2, 0, 3, 1, 0, 3, 2, 0, 1, 1, 2, 3, 3, 2, 1, 2, 0, 1, 3, 0, 0, 2, 1, 4, 0, 0, 4, 2, 4, 4, 1, 4, 4, 0, 4, 0, 4, 1, 0, 2, 3, 1, 2, 1, 4, 3, 1, 2, 0, 1, 4, 0, 3, 0, 2, 3, 3, 1, 0, 0, 2, 3, 2, 2, 3, 0, 2, 4, 2, 2, 1, 4, 3, 3, 4, 3, 4, 3, 0, 2, 1, 2, 1, 2, 3, 2, 4, 2, 1, 3, 3, 0, 2, 4, 3, 4, 0, 3, 4, 1, 0, 2, 2, 3, 2, 3, 2, 3, 4, 1, 1, 0, 0, 4, 0, 3, 1, 0, 3, 4, 2, 3, 4, 4, 1, 3, 4, 0, 0, 4, 3, 1, 1, 4, 2, 4, 2, 2, 0, 1, 0, 1, 1, 3, 0, 4, 0, 0, 3, 0, 1, 3, 4, 1, 4, 3, 1, 4, 1, 0, 0, 1, 1, 4, 2, 4, 1, 2, 2, 3, 0, 4, 3, 3, 3, 2, 2, 1, 0, 0, 3, 4, 3, 4, 4, 0, 1, 1, 2, 1, 3, 4, 0, 4, 4, 1, 2, 2, 2, 4, 2, 4, 3, 3, 3, 3, 1, 1, 3, 3, 2, 0, 3, 0, 2, 4, 3, 1, 4, 2, 1, 3, 4, 0, 4, 0, 3, 3, 3, 1, 3, 1, 4, 3, 4, 1, 4, 1, 2, 4, 3, 0, 3, 1, 1, 3, 3, 3, 4, 2, 0, 2, 2, 0, 3, 1, 1, 1, 2, 4, 1, 1, 3, 2, 2, 0, 3, 4, 0, 3, 0, 0, 2, 2, 3, 1, 2, 4, 0, 3, 3, 0, 4, 1, 0, 2, 3, 4, 4, 4, 0, 1, 2, 4, 2, 0, 4, 3, 1, 2, 1, 0, 3, 2, 0, 0, 4, 3, 2, 2, 4, 3] pubkeycol793 = [4, 3, 4, 2, 3, 1, 4, 4, 4, 3, 4, 3, 3, 1, 0, 1, 3, 4, 1, 3, 1, 3, 1, 3, 1, 3, 3, 0, 0, 1, 0, 0, 0, 4, 1, 0, 4, 4, 1, 0, 0, 2, 4, 4, 0, 4, 1, 2, 2, 2, 2, 3, 0, 4, 1, 3, 0, 3, 3, 3, 3, 3, 3, 1, 1, 2, 3, 3, 0, 2, 0, 0, 0, 1, 2, 3, 2, 3, 1, 3, 1, 2, 1, 1, 0, 3, 3, 3, 2, 4, 4, 2, 4, 4, 4, 0, 1, 2, 1, 2, 2, 1, 3, 1, 3, 1, 2, 0, 0, 4, 2, 4, 4, 2, 3, 4, 3, 0, 3, 0, 0, 3, 1, 3, 4, 4, 2, 2, 1, 3, 4, 0, 0, 2, 3, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 3, 3, 0, 1, 1, 1, 0, 3, 4, 3, 2, 2, 4, 3, 1, 3, 1, 3, 3, 0, 2, 4, 4, 2, 2, 0, 4, 4, 2, 1, 1, 2, 3, 3, 3, 0, 1, 2, 2, 1, 3, 4, 0, 1, 4, 1, 2, 2, 0, 1, 1, 2, 0, 4, 2, 3, 2, 4, 0, 1, 4, 0, 2, 2, 2, 2, 2, 1, 4, 3, 0, 4, 2, 2, 4, 2, 4, 2, 2, 1, 1, 2, 1, 1, 3, 0, 2, 3, 1, 2, 0, 4, 0, 0, 0, 3, 4, 0, 4, 1, 4, 2, 4, 1, 3, 2, 2, 2, 3, 4, 3, 2, 2, 1, 2, 1, 3, 3, 3, 3, 3, 1, 4, 0, 0, 4, 3, 2, 4, 1, 4, 4, 4, 0, 3, 3, 4, 2, 3, 4, 1, 2, 2, 1, 4, 3, 3, 2, 2, 4, 4, 2, 2, 3, 1, 2, 3, 0, 0, 3, 1, 4, 1, 0, 2, 2, 4, 4, 1, 4, 0, 4, 3, 0, 2, 4, 0, 3, 3, 0, 1, 3, 2, 0, 2, 4, 2, 1, 3, 4, 1, 0, 3, 2, 3, 2, 1, 4, 2, 3, 2, 4, 1, 1, 0, 0, 4, 0, 4, 2, 1, 0, 0, 4, 4, 3, 4, 0, 1, 4, 1, 1, 0, 2, 1, 2, 2, 4, 1, 1, 0, 4, 0, 0, 0, 0, 4, 4, 3, 2, 3, 2, 0, 4, 4, 1, 1, 3, 2, 2, 0, 1, 4, 3] pubkeycol794 = [2, 3, 3, 0, 0, 4, 2, 0, 2, 3, 4, 0, 0, 4, 0, 2, 3, 1, 1, 3, 0, 0, 0, 3, 0, 1, 4, 3, 1, 3, 0, 3, 0, 1, 4, 0, 3, 3, 2, 2, 1, 4, 3, 1, 1, 0, 0, 0, 4, 1, 4, 3, 4, 0, 3, 1, 4, 4, 0, 0, 3, 0, 0, 4, 2, 4, 0, 0, 2, 2, 3, 2, 0, 4, 0, 1, 4, 1, 0, 1, 4, 1, 4, 4, 0, 1, 2, 2, 0, 1, 3, 0, 4, 2, 4, 2, 2, 4, 1, 1, 0, 2, 2, 3, 2, 1, 2, 2, 4, 3, 1, 3, 3, 4, 4, 0, 2, 0, 1, 3, 0, 2, 2, 2, 4, 4, 0, 3, 3, 4, 0, 4, 2, 1, 0, 0, 1, 4, 2, 4, 0, 2, 0, 4, 3, 4, 1, 4, 4, 3, 3, 2, 2, 4, 0, 3, 2, 3, 0, 3, 0, 4, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 4, 0, 1, 3, 3, 3, 4, 3, 4, 0, 3, 0, 1, 0, 4, 4, 1, 1, 4, 3, 2, 0, 2, 3, 1, 4, 0, 2, 0, 2, 1, 1, 0, 3, 0, 2, 1, 4, 4, 1, 2, 4, 3, 0, 0, 2, 3, 2, 2, 4, 0, 2, 3, 0, 4, 3, 3, 4, 4, 1, 1, 4, 0, 2, 2, 3, 0, 0, 4, 1, 3, 1, 0, 0, 3, 1, 0, 3, 2, 4, 0, 3, 4, 1, 3, 2, 3, 1, 4, 3, 3, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 3, 3, 3, 1, 2, 2, 1, 1, 3, 1, 2, 0, 2, 1, 4, 3, 0, 1, 0, 0, 0, 0, 2, 0, 0, 4, 1, 4, 1, 3, 0, 0, 1, 0, 0, 3, 1, 2, 4, 0, 2, 3, 3, 0, 2, 3, 0, 0, 0, 3, 4, 0, 4, 4, 1, 2, 1, 3, 0, 1, 0, 2, 1, 1, 1, 1, 1, 3, 1, 3, 3, 2, 1, 1, 0, 0, 4, 1, 0, 1, 4, 1, 3, 4, 4, 2, 3, 0, 4, 2, 4, 3, 4, 4, 3, 0, 4, 1, 3, 0, 0, 2, 3, 4, 0, 4, 0, 1, 1, 1, 4, 1, 0, 3, 2, 1, 2, 3, 1, 2, 4, 2, 4] pubkeycol795 = [1, 1, 3, 3, 4, 4, 4, 4, 0, 0, 1, 2, 3, 1, 3, 2, 4, 2, 4, 3, 2, 1, 0, 4, 2, 4, 4, 4, 0, 0, 4, 2, 4, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 3, 2, 3, 0, 0, 0, 3, 4, 1, 4, 0, 1, 3, 2, 4, 2, 0, 1, 1, 3, 2, 2, 2, 4, 4, 0, 4, 2, 1, 4, 2, 0, 1, 0, 3, 0, 0, 3, 0, 0, 4, 0, 4, 2, 0, 3, 1, 4, 1, 2, 4, 0, 3, 4, 4, 2, 2, 0, 3, 1, 1, 3, 3, 1, 2, 4, 3, 1, 4, 4, 0, 1, 4, 3, 3, 1, 3, 2, 1, 4, 1, 1, 3, 4, 3, 4, 0, 3, 4, 3, 4, 3, 3, 2, 4, 2, 4, 2, 4, 1, 2, 0, 2, 3, 1, 2, 2, 2, 3, 0, 1, 3, 4, 2, 0, 4, 2, 3, 4, 1, 3, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 4, 3, 3, 0, 4, 4, 2, 0, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 3, 2, 0, 2, 3, 1, 3, 4, 1, 2, 0, 2, 4, 1, 2, 3, 0, 1, 4, 1, 0, 3, 1, 0, 0, 0, 1, 3, 2, 4, 1, 1, 1, 3, 2, 2, 0, 1, 2, 3, 0, 0, 0, 0, 3, 1, 4, 3, 1, 0, 1, 2, 3, 0, 0, 1, 2, 4, 2, 2, 2, 0, 1, 0, 4, 1, 3, 0, 0, 1, 4, 1, 1, 0, 3, 1, 2, 0, 2, 3, 1, 2, 0, 3, 1, 0, 2, 4, 1, 1, 0, 4, 4, 2, 3, 1, 1, 4, 4, 4, 1, 0, 4, 1, 3, 1, 4, 2, 1, 3, 2, 0, 4, 0, 1, 1, 4, 0, 1, 2, 1, 0, 0, 4, 2, 2, 1, 4, 2, 1, 4, 3, 3, 1, 3, 4, 0, 4, 0, 0, 0, 4, 4, 1, 1, 3, 4, 2, 0, 1, 0, 0, 0, 4, 2, 3, 3, 1, 0, 4, 1, 1, 3, 0, 3, 2, 3, 4, 3, 0, 4, 3, 0, 4, 4, 2, 1, 3, 2, 1, 1, 3, 3, 1, 0, 1, 1, 2, 4, 4, 4, 2, 3, 3, 4, 0, 1, 4, 1, 0, 2, 3] pubkeycol796 = [1, 2, 4, 2, 0, 3, 2, 3, 2, 0, 0, 0, 4, 3, 0, 0, 0, 3, 2, 4, 1, 1, 3, 0, 4, 4, 1, 4, 2, 0, 1, 1, 2, 3, 3, 2, 2, 0, 0, 4, 1, 0, 0, 3, 1, 0, 3, 2, 1, 1, 2, 4, 3, 0, 4, 0, 0, 3, 0, 4, 0, 2, 1, 4, 4, 0, 0, 0, 1, 3, 4, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 4, 1, 1, 2, 2, 3, 4, 0, 1, 1, 1, 0, 0, 3, 4, 3, 3, 0, 3, 3, 3, 2, 0, 1, 2, 3, 1, 2, 1, 0, 2, 4, 1, 2, 3, 1, 2, 1, 4, 0, 0, 4, 2, 1, 4, 3, 2, 2, 4, 3, 4, 0, 1, 0, 1, 2, 2, 0, 4, 1, 4, 3, 0, 0, 0, 3, 0, 1, 3, 0, 3, 2, 4, 0, 3, 4, 4, 2, 1, 3, 2, 1, 4, 1, 0, 1, 4, 0, 1, 3, 2, 2, 2, 0, 3, 2, 4, 0, 1, 2, 0, 1, 0, 3, 1, 4, 2, 0, 2, 2, 4, 1, 0, 2, 3, 4, 4, 2, 0, 0, 0, 2, 3, 1, 3, 4, 1, 4, 3, 4, 4, 2, 3, 4, 3, 2, 0, 4, 2, 0, 0, 2, 0, 3, 3, 2, 4, 1, 4, 4, 1, 0, 1, 1, 3, 0, 1, 4, 2, 2, 2, 1, 3, 3, 0, 3, 0, 1, 3, 1, 2, 1, 1, 3, 1, 3, 3, 4, 3, 3, 3, 3, 1, 1, 4, 3, 0, 2, 2, 1, 3, 3, 1, 2, 3, 2, 0, 1, 1, 1, 1, 4, 2, 0, 4, 4, 3, 0, 2, 0, 3, 0, 0, 4, 2, 2, 2, 2, 4, 4, 2, 4, 3, 1, 3, 3, 3, 1, 4, 3, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 0, 1, 4, 0, 1, 3, 3, 4, 3, 3, 2, 1, 0, 3, 4, 4, 4, 2, 1, 2, 0, 0, 0, 2, 0, 1, 4, 4, 4, 4, 2, 1, 3, 0, 2, 1, 0, 1, 0, 1, 1, 2, 3, 2, 0, 0, 2, 2, 1, 2, 3, 2, 2, 3, 3, 1, 0, 0, 3, 2, 4, 0, 3, 3, 4, 0, 1, 1, 0, 1, 4, 3, 0, 2, 1, 1, 2, 2] pubkeycol797 = [3, 4, 1, 3, 0, 1, 1, 4, 2, 3, 2, 1, 1, 0, 2, 2, 1, 3, 2, 1, 4, 0, 2, 1, 4, 1, 4, 0, 1, 4, 3, 2, 4, 1, 1, 0, 3, 0, 4, 1, 2, 0, 3, 4, 0, 0, 0, 4, 1, 2, 0, 0, 0, 3, 3, 1, 2, 0, 4, 4, 4, 0, 2, 0, 4, 3, 1, 3, 3, 0, 3, 1, 3, 0, 0, 1, 4, 2, 1, 3, 2, 4, 4, 3, 3, 1, 1, 4, 3, 0, 4, 1, 2, 0, 2, 2, 1, 0, 4, 2, 1, 2, 4, 4, 0, 2, 4, 0, 1, 4, 2, 0, 2, 1, 4, 1, 4, 3, 3, 2, 3, 1, 4, 2, 3, 1, 4, 2, 3, 3, 4, 0, 4, 2, 2, 4, 0, 2, 0, 0, 4, 2, 3, 1, 0, 1, 2, 4, 1, 0, 2, 0, 3, 3, 0, 2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 2, 2, 3, 4, 0, 4, 0, 1, 2, 1, 3, 4, 3, 3, 0, 3, 2, 2, 3, 1, 2, 3, 4, 0, 1, 4, 2, 3, 4, 3, 0, 4, 0, 1, 2, 2, 1, 2, 4, 3, 3, 2, 4, 4, 0, 1, 0, 0, 0, 2, 2, 4, 1, 4, 4, 1, 4, 0, 4, 2, 3, 0, 2, 3, 0, 1, 2, 3, 4, 1, 1, 3, 2, 2, 2, 0, 2, 3, 1, 2, 0, 2, 0, 2, 2, 1, 3, 1, 4, 4, 1, 2, 2, 4, 4, 4, 2, 0, 1, 1, 0, 2, 0, 0, 2, 3, 0, 1, 4, 2, 1, 2, 1, 1, 0, 2, 2, 3, 0, 1, 3, 1, 3, 1, 2, 1, 4, 1, 3, 0, 4, 0, 2, 1, 1, 4, 3, 1, 0, 0, 2, 0, 3, 4, 2, 0, 2, 4, 2, 1, 0, 3, 0, 4, 0, 0, 4, 0, 2, 4, 0, 2, 0, 0, 1, 3, 1, 1, 0, 1, 1, 0, 3, 3, 2, 4, 3, 3, 2, 2, 3, 3, 3, 1, 0, 0, 3, 0, 3, 4, 2, 1, 4, 4, 1, 3, 1, 0, 4, 1, 1, 2, 2, 0, 0, 4, 0, 0, 2, 2, 3, 3, 4, 0, 2, 1, 2, 1, 4, 4, 2, 4, 1, 1, 2, 0, 1, 0, 3, 0, 1, 3, 1, 1, 2] pubkeycol798 = [4, 1, 0, 3, 4, 0, 4, 2, 3, 1, 0, 1, 1, 1, 3, 3, 3, 2, 2, 1, 4, 1, 2, 4, 2, 2, 3, 1, 2, 4, 0, 3, 0, 0, 2, 2, 2, 4, 4, 2, 4, 3, 1, 0, 0, 1, 3, 4, 4, 3, 3, 0, 0, 4, 3, 2, 2, 2, 2, 2, 0, 2, 2, 4, 4, 3, 0, 4, 3, 3, 3, 0, 4, 2, 4, 1, 2, 1, 0, 2, 3, 4, 4, 4, 2, 4, 0, 2, 1, 1, 4, 1, 0, 3, 0, 3, 0, 3, 3, 2, 0, 4, 0, 0, 4, 2, 4, 3, 2, 3, 3, 0, 4, 0, 1, 2, 3, 3, 0, 4, 0, 3, 4, 1, 4, 3, 3, 1, 0, 2, 4, 1, 0, 3, 4, 2, 2, 0, 0, 4, 4, 2, 0, 2, 2, 3, 0, 2, 3, 0, 4, 3, 2, 4, 2, 0, 0, 2, 1, 0, 4, 0, 2, 3, 1, 4, 0, 2, 1, 0, 3, 3, 1, 0, 1, 4, 2, 3, 1, 1, 4, 2, 0, 2, 3, 1, 2, 4, 3, 3, 2, 0, 1, 0, 4, 0, 1, 1, 1, 2, 2, 3, 1, 2, 1, 2, 0, 3, 1, 3, 0, 1, 3, 3, 3, 1, 2, 4, 2, 2, 0, 4, 0, 1, 3, 3, 4, 4, 3, 3, 0, 0, 2, 1, 3, 4, 1, 2, 2, 0, 4, 3, 0, 4, 4, 4, 3, 3, 1, 2, 4, 0, 1, 4, 2, 4, 1, 2, 2, 4, 1, 3, 2, 3, 0, 0, 0, 2, 1, 2, 0, 4, 1, 4, 3, 1, 1, 3, 1, 3, 4, 2, 2, 0, 3, 2, 3, 2, 4, 2, 0, 2, 4, 2, 4, 4, 1, 0, 3, 1, 2, 3, 0, 2, 4, 2, 1, 1, 0, 1, 0, 4, 3, 3, 3, 0, 3, 3, 3, 0, 0, 2, 3, 0, 1, 1, 0, 2, 4, 1, 3, 3, 1, 2, 4, 1, 0, 3, 0, 2, 3, 4, 3, 3, 2, 0, 3, 4, 3, 3, 1, 1, 3, 4, 0, 2, 1, 3, 4, 2, 2, 1, 2, 2, 1, 1, 4, 1, 3, 3, 1, 3, 0, 4, 4, 0, 0, 1, 4, 3, 0, 2, 1, 3, 2, 4, 2, 2, 4, 4, 3, 3, 2, 2, 2, 0, 2, 4, 2, 2] pubkeycol799 = [3, 1, 4, 2, 1, 3, 3, 1, 0, 4, 4, 4, 2, 4, 3, 3, 3, 3, 1, 1, 4, 3, 4, 3, 3, 1, 4, 3, 1, 3, 3, 4, 4, 0, 3, 3, 2, 2, 2, 1, 0, 4, 3, 1, 0, 2, 1, 1, 3, 0, 2, 0, 1, 0, 0, 0, 1, 3, 0, 3, 1, 0, 3, 2, 4, 4, 3, 1, 4, 3, 3, 0, 3, 1, 4, 0, 0, 4, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 4, 4, 0, 3, 0, 2, 4, 2, 2, 4, 2, 0, 3, 4, 4, 3, 4, 2, 4, 4, 3, 4, 0, 2, 0, 3, 3, 3, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 3, 0, 4, 2, 3, 1, 3, 4, 3, 0, 1, 4, 2, 0, 4, 1, 3, 3, 3, 0, 0, 4, 1, 0, 3, 2, 1, 2, 4, 0, 2, 1, 0, 4, 0, 3, 4, 4, 0, 0, 2, 4, 1, 2, 4, 2, 4, 3, 2, 3, 1, 3, 1, 2, 3, 0, 1, 2, 1, 3, 2, 4, 3, 1, 2, 2, 2, 4, 2, 0, 0, 3, 0, 0, 0, 1, 1, 0, 4, 0, 4, 3, 1, 0, 2, 0, 3, 3, 4, 3, 1, 2, 0, 3, 1, 1, 1, 4, 4, 4, 1, 1, 3, 0, 0, 0, 1, 3, 1, 1, 3, 2, 0, 3, 0, 0, 2, 2, 2, 1, 3, 0, 4, 2, 1, 4, 2, 4, 4, 3, 1, 0, 4, 3, 1, 1, 4, 1, 3, 4, 1, 1, 1, 3, 4, 3, 0, 4, 3, 0, 2, 4, 2, 1, 3, 1, 3, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 3, 1, 3, 1, 4, 4, 2, 3, 0, 3, 0, 0, 2, 4, 1, 3, 4, 0, 3, 0, 0, 0, 0, 2, 0, 2, 0, 0, 4, 3, 3, 1, 0, 1, 3, 2, 2, 0, 1, 3, 3, 4, 1, 1, 3, 0, 2, 0, 2, 2, 4, 4, 0, 0, 1, 4, 0, 2, 3, 0, 1, 0, 3, 4, 4, 4, 3, 3, 1, 3, 3, 0, 4, 0, 4, 2, 4, 1, 4, 3, 0, 4, 2, 4, 0, 4, 0, 2, 2, 1, 0, 0, 4, 1, 2, 0, 4, 1, 2, 3, 2, 4, 2] pubkeycol800 = [3, 4, 1, 0, 4, 2, 3, 1, 4, 1, 4, 3, 0, 1, 3, 4, 2, 4, 1, 1, 3, 0, 3, 3, 4, 2, 3, 4, 3, 2, 3, 4, 1, 3, 3, 4, 4, 1, 3, 1, 1, 2, 0, 3, 3, 3, 4, 1, 4, 3, 2, 3, 4, 3, 2, 4, 2, 2, 2, 0, 1, 3, 4, 1, 2, 4, 4, 1, 1, 4, 4, 0, 3, 1, 0, 1, 4, 3, 4, 2, 1, 4, 2, 1, 1, 1, 2, 4, 1, 1, 4, 3, 3, 3, 0, 1, 0, 2, 2, 0, 3, 4, 1, 3, 2, 3, 2, 2, 2, 3, 3, 0, 1, 4, 3, 1, 0, 1, 4, 3, 1, 2, 3, 4, 3, 0, 0, 0, 3, 2, 2, 4, 1, 1, 0, 4, 0, 1, 1, 2, 0, 0, 1, 1, 3, 1, 0, 1, 4, 0, 2, 3, 4, 1, 0, 3, 3, 3, 0, 0, 2, 4, 2, 0, 3, 3, 1, 3, 3, 4, 2, 0, 0, 2, 3, 2, 1, 2, 3, 0, 2, 4, 3, 1, 2, 1, 1, 3, 1, 3, 4, 4, 0, 2, 2, 2, 0, 3, 0, 1, 2, 1, 0, 3, 1, 0, 3, 4, 2, 4, 4, 2, 0, 2, 2, 1, 3, 0, 0, 3, 3, 3, 1, 4, 1, 0, 4, 3, 3, 1, 3, 3, 4, 1, 3, 4, 0, 4, 1, 3, 2, 4, 3, 2, 4, 1, 4, 1, 2, 1, 0, 2, 2, 1, 1, 1, 3, 0, 4, 2, 4, 4, 4, 3, 2, 0, 1, 0, 2, 1, 2, 0, 0, 3, 1, 1, 1, 2, 0, 2, 2, 3, 2, 3, 1, 1, 4, 3, 4, 3, 1, 2, 2, 0, 2, 1, 4, 1, 2, 4, 4, 2, 0, 3, 4, 1, 0, 1, 4, 3, 1, 0, 4, 4, 0, 3, 0, 1, 0, 3, 2, 2, 2, 4, 2, 1, 0, 1, 0, 2, 0, 4, 3, 0, 0, 1, 1, 4, 3, 4, 3, 0, 1, 4, 4, 2, 3, 2, 2, 0, 1, 2, 1, 4, 4, 3, 2, 1, 1, 3, 1, 3, 3, 3, 0, 0, 2, 1, 3, 2, 3, 3, 2, 1, 1, 3, 2, 1, 1, 3, 3, 4, 1, 0, 1, 3, 2, 4, 4, 2, 3, 0, 1, 3, 3, 2, 3, 3, 4, 1] pubkeycol801 = [0, 3, 4, 2, 4, 2, 0, 3, 0, 2, 1, 4, 2, 0, 3, 4, 4, 0, 4, 2, 2, 1, 0, 0, 1, 1, 3, 2, 2, 2, 3, 1, 4, 0, 2, 4, 0, 4, 4, 1, 2, 3, 0, 2, 4, 2, 1, 3, 4, 2, 1, 0, 1, 1, 4, 4, 1, 0, 3, 0, 1, 0, 3, 4, 2, 0, 4, 3, 0, 4, 1, 0, 0, 2, 2, 1, 0, 1, 1, 3, 2, 2, 1, 1, 4, 2, 3, 0, 4, 2, 0, 4, 1, 1, 2, 1, 4, 2, 1, 0, 1, 3, 2, 0, 1, 4, 3, 0, 4, 4, 0, 2, 4, 4, 2, 3, 1, 3, 4, 3, 3, 2, 2, 0, 2, 4, 4, 1, 4, 0, 3, 1, 3, 1, 3, 2, 2, 0, 4, 4, 2, 4, 0, 2, 3, 0, 2, 0, 0, 3, 4, 0, 1, 0, 1, 3, 1, 4, 1, 0, 0, 3, 1, 2, 2, 4, 2, 4, 4, 0, 0, 4, 1, 2, 4, 4, 1, 1, 0, 2, 3, 1, 4, 2, 0, 1, 1, 2, 2, 2, 4, 0, 2, 1, 2, 2, 2, 4, 2, 1, 4, 4, 4, 1, 0, 4, 0, 3, 1, 0, 3, 1, 4, 2, 0, 3, 3, 4, 0, 2, 4, 0, 3, 3, 1, 1, 3, 4, 2, 0, 3, 3, 1, 3, 2, 4, 3, 4, 3, 1, 1, 2, 4, 4, 4, 2, 1, 4, 1, 0, 0, 3, 1, 3, 4, 2, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 3, 1, 4, 1, 0, 2, 2, 1, 3, 3, 2, 4, 4, 2, 0, 3, 2, 3, 3, 3, 3, 3, 1, 4, 0, 4, 2, 0, 2, 2, 1, 3, 4, 2, 1, 4, 1, 3, 2, 2, 0, 2, 3, 1, 4, 0, 4, 2, 2, 0, 3, 4, 2, 1, 2, 0, 3, 2, 4, 1, 1, 4, 0, 1, 1, 2, 0, 0, 3, 1, 2, 3, 2, 2, 4, 0, 3, 2, 3, 4, 2, 2, 4, 2, 3, 4, 4, 1, 0, 3, 0, 2, 2, 4, 0, 2, 2, 1, 2, 1, 3, 0, 0, 3, 2, 3, 2, 3, 2, 1, 2, 0, 0, 3, 0, 1, 1, 1, 4, 3, 0, 3, 0, 0, 4, 0] pubkeycol802 = [2, 1, 0, 4, 2, 3, 4, 3, 0, 1, 4, 3, 4, 0, 2, 3, 0, 4, 0, 1, 4, 0, 2, 3, 4, 0, 1, 3, 1, 3, 4, 3, 2, 2, 0, 0, 4, 3, 4, 0, 3, 2, 4, 1, 1, 4, 4, 4, 2, 4, 2, 0, 1, 2, 2, 2, 3, 4, 4, 4, 3, 4, 1, 0, 4, 3, 2, 1, 4, 3, 4, 3, 2, 2, 3, 1, 4, 1, 3, 4, 4, 2, 1, 3, 0, 4, 2, 0, 2, 1, 4, 2, 4, 1, 4, 3, 0, 4, 2, 0, 0, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 0, 3, 4, 1, 1, 4, 1, 4, 1, 0, 2, 1, 0, 3, 4, 0, 1, 0, 2, 4, 4, 3, 0, 1, 2, 0, 2, 4, 1, 0, 2, 1, 1, 4, 4, 1, 1, 1, 3, 1, 0, 4, 4, 1, 3, 4, 2, 3, 2, 3, 0, 1, 3, 2, 3, 3, 3, 1, 4, 3, 4, 0, 3, 3, 3, 3, 1, 0, 2, 3, 1, 4, 3, 2, 0, 2, 2, 3, 2, 2, 3, 0, 4, 1, 2, 3, 1, 4, 1, 1, 2, 1, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 4, 2, 2, 3, 2, 1, 1, 4, 2, 4, 2, 3, 3, 4, 1, 2, 0, 1, 2, 3, 2, 1, 3, 1, 0, 3, 0, 4, 3, 0, 4, 4, 1, 2, 2, 2, 2, 2, 1, 2, 4, 1, 4, 3, 0, 4, 1, 1, 0, 0, 4, 4, 0, 1, 2, 2, 1, 3, 0, 0, 0, 4, 1, 3, 0, 1, 4, 1, 3, 1, 2, 2, 1, 2, 0, 2, 1, 3, 0, 1, 1, 1, 3, 1, 4, 3, 4, 2, 2, 1, 0, 4, 3, 3, 2, 0, 2, 1, 3, 4, 3, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 4, 0, 3, 1, 4, 4, 0, 1, 3, 2, 4, 3, 3, 3, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 4, 0, 4, 4, 2, 2, 0, 2, 0, 4, 4, 1, 0, 3, 0, 0, 0, 3, 2, 2, 2, 4, 0, 0, 4, 3, 3, 4, 1, 1, 3, 4, 2, 0, 2, 1, 0, 0, 4, 0, 1, 1, 2] pubkeycol803 = [3, 0, 3, 4, 0, 1, 3, 2, 0, 2, 0, 4, 0, 0, 0, 2, 3, 3, 0, 0, 0, 1, 3, 4, 0, 1, 2, 0, 1, 4, 4, 2, 3, 2, 2, 0, 0, 2, 1, 0, 2, 3, 0, 3, 3, 2, 4, 0, 0, 3, 2, 2, 0, 2, 1, 2, 2, 3, 4, 4, 2, 1, 2, 2, 0, 3, 1, 1, 3, 3, 1, 1, 2, 1, 1, 0, 2, 0, 3, 3, 4, 3, 4, 2, 3, 2, 1, 4, 1, 2, 4, 4, 1, 1, 1, 2, 4, 1, 2, 1, 0, 1, 1, 3, 3, 1, 1, 4, 3, 0, 4, 0, 0, 1, 0, 2, 1, 1, 2, 2, 4, 2, 1, 4, 1, 3, 4, 4, 0, 3, 1, 1, 2, 4, 1, 1, 3, 1, 0, 3, 4, 2, 0, 3, 4, 2, 1, 4, 2, 2, 0, 0, 2, 0, 4, 2, 1, 4, 2, 0, 2, 4, 3, 1, 1, 0, 4, 2, 3, 2, 0, 2, 0, 2, 4, 4, 1, 0, 2, 0, 3, 4, 4, 0, 4, 4, 4, 2, 0, 0, 0, 0, 2, 3, 0, 4, 0, 1, 1, 2, 3, 4, 0, 3, 3, 3, 2, 2, 1, 3, 0, 3, 2, 4, 1, 1, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 4, 1, 4, 1, 3, 4, 4, 1, 4, 4, 1, 3, 1, 3, 3, 2, 0, 2, 4, 0, 3, 3, 0, 1, 4, 0, 0, 4, 1, 2, 1, 1, 3, 2, 1, 1, 2, 0, 3, 3, 2, 0, 4, 2, 3, 2, 4, 1, 2, 0, 4, 1, 2, 2, 2, 1, 1, 2, 4, 0, 3, 4, 3, 4, 0, 0, 2, 1, 2, 0, 3, 1, 1, 1, 2, 1, 1, 3, 0, 4, 4, 3, 3, 3, 2, 2, 2, 3, 0, 2, 3, 1, 1, 2, 2, 2, 1, 2, 1, 4, 2, 3, 3, 1, 2, 3, 1, 4, 0, 2, 1, 4, 2, 0, 3, 3, 1, 4, 4, 1, 1, 0, 4, 4, 3, 0, 1, 0, 0, 1, 3, 3, 4, 1, 2, 2, 0, 1, 0, 4, 3, 0, 4, 4, 2, 0, 1, 3, 4, 0, 1, 3, 1, 4, 3, 1, 1, 2, 4, 0, 1, 0, 1, 1, 3, 1, 4] pubkeycol804 = [4, 1, 0, 1, 3, 4, 1, 3, 1, 4, 4, 1, 2, 2, 0, 1, 2, 2, 3, 0, 4, 4, 3, 4, 1, 4, 1, 4, 2, 0, 0, 3, 0, 3, 2, 1, 3, 1, 4, 2, 2, 2, 2, 4, 0, 4, 3, 2, 0, 2, 2, 2, 2, 1, 1, 4, 3, 3, 4, 1, 2, 2, 3, 2, 2, 3, 4, 0, 4, 0, 0, 0, 2, 1, 0, 4, 3, 1, 0, 0, 4, 0, 3, 2, 1, 2, 2, 0, 0, 3, 4, 0, 4, 1, 3, 1, 1, 4, 0, 4, 4, 4, 2, 4, 0, 0, 2, 0, 0, 4, 0, 0, 0, 4, 2, 3, 4, 4, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 3, 0, 0, 4, 4, 4, 3, 3, 0, 0, 4, 3, 2, 2, 1, 3, 4, 3, 3, 2, 4, 0, 0, 2, 3, 4, 0, 1, 4, 3, 3, 2, 3, 0, 3, 0, 4, 4, 4, 4, 3, 2, 1, 1, 2, 4, 1, 4, 2, 2, 0, 3, 3, 0, 0, 3, 1, 1, 4, 1, 0, 0, 4, 3, 1, 3, 4, 0, 0, 2, 3, 2, 2, 4, 3, 0, 4, 3, 3, 0, 0, 4, 3, 1, 2, 1, 4, 0, 2, 1, 4, 2, 1, 1, 3, 3, 3, 0, 1, 3, 1, 0, 1, 2, 0, 1, 0, 4, 4, 3, 0, 1, 1, 4, 1, 4, 2, 4, 0, 4, 4, 3, 4, 1, 1, 4, 1, 4, 3, 3, 4, 0, 1, 4, 0, 0, 1, 0, 4, 1, 4, 2, 0, 0, 2, 2, 0, 2, 0, 4, 2, 4, 2, 2, 4, 0, 4, 2, 2, 0, 1, 3, 4, 1, 0, 0, 2, 2, 0, 3, 2, 1, 1, 0, 2, 0, 1, 4, 4, 1, 2, 3, 2, 4, 0, 1, 4, 4, 4, 0, 1, 3, 4, 4, 0, 2, 1, 4, 1, 3, 0, 0, 1, 3, 4, 2, 1, 2, 4, 0, 1, 4, 3, 4, 0, 2, 2, 0, 3, 0, 4, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 0, 1, 4, 4, 2, 2, 2, 1, 2, 4, 4, 4, 4, 3, 3, 1, 3, 0, 4, 4, 2, 0, 2, 0, 3, 4, 1, 2, 3, 4, 2, 1, 1, 0, 0, 3, 3, 4] pubkeycol805 = [1, 3, 1, 3, 4, 0, 3, 0, 2, 4, 4, 4, 0, 0, 4, 3, 1, 1, 4, 4, 2, 3, 2, 2, 4, 2, 2, 3, 1, 3, 4, 1, 4, 1, 3, 1, 2, 2, 2, 0, 1, 0, 1, 3, 2, 2, 4, 4, 2, 3, 3, 4, 2, 2, 3, 0, 1, 4, 3, 2, 2, 2, 1, 1, 2, 0, 0, 4, 3, 4, 2, 0, 3, 1, 1, 1, 4, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 4, 2, 3, 0, 1, 2, 3, 2, 4, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 0, 2, 2, 4, 0, 2, 1, 3, 2, 4, 2, 3, 3, 1, 3, 1, 2, 2, 3, 0, 1, 3, 3, 1, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 1, 2, 2, 1, 4, 1, 1, 4, 4, 2, 0, 2, 3, 2, 1, 4, 0, 0, 4, 0, 4, 1, 4, 0, 2, 0, 3, 3, 4, 4, 0, 2, 0, 0, 1, 4, 2, 4, 0, 2, 0, 4, 2, 4, 4, 1, 2, 4, 4, 1, 3, 3, 4, 4, 4, 1, 0, 1, 1, 2, 2, 1, 4, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 4, 3, 2, 2, 4, 3, 3, 0, 3, 3, 1, 3, 3, 4, 4, 0, 0, 2, 0, 1, 4, 4, 3, 4, 3, 2, 1, 1, 2, 4, 0, 0, 1, 1, 2, 1, 4, 1, 3, 4, 4, 4, 2, 3, 3, 0, 2, 4, 1, 1, 3, 0, 2, 0, 3, 4, 4, 3, 0, 0, 4, 0, 0, 0, 2, 4, 3, 1, 4, 2, 1, 4, 1, 4, 3, 4, 3, 1, 1, 2, 0, 4, 1, 2, 3, 1, 2, 2, 4, 0, 1, 1, 2, 3, 1, 0, 4, 0, 2, 0, 1, 0, 2, 3, 3, 3, 4, 4, 1, 1, 1, 0, 2, 2, 0, 4, 4, 3, 2, 1, 2, 4, 1, 4, 1, 0, 1, 3, 2, 2, 2, 3, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 0, 2, 2, 3, 3, 4, 4, 1, 2, 4, 1, 3, 2, 1, 4, 4, 1, 0, 1, 0, 1, 4, 2, 0, 0, 4, 2, 0, 2, 3, 0, 1, 2, 4] pubkeycol806 = [1, 1, 4, 4, 0, 1, 3, 4, 2, 3, 3, 3, 2, 3, 0, 3, 1, 3, 2, 4, 3, 4, 2, 1, 2, 2, 0, 0, 2, 4, 1, 1, 2, 4, 1, 0, 0, 3, 2, 3, 4, 4, 2, 4, 1, 0, 2, 2, 1, 2, 1, 3, 0, 3, 3, 3, 2, 4, 3, 4, 3, 3, 0, 3, 2, 0, 0, 1, 1, 4, 1, 3, 0, 3, 0, 1, 2, 1, 1, 3, 3, 3, 2, 3, 4, 3, 1, 1, 4, 4, 0, 3, 4, 1, 0, 3, 4, 2, 0, 1, 3, 3, 3, 3, 0, 2, 1, 4, 3, 2, 3, 4, 4, 1, 4, 4, 4, 0, 3, 4, 1, 0, 2, 4, 3, 1, 4, 1, 4, 1, 3, 3, 4, 4, 3, 2, 3, 1, 0, 0, 1, 4, 0, 1, 3, 0, 0, 2, 3, 1, 2, 1, 1, 4, 1, 4, 0, 0, 4, 4, 3, 2, 3, 0, 1, 2, 1, 4, 3, 2, 2, 2, 1, 0, 4, 0, 2, 3, 3, 1, 4, 2, 4, 1, 2, 0, 0, 4, 2, 2, 3, 0, 2, 1, 0, 1, 0, 2, 4, 1, 1, 1, 2, 0, 1, 1, 3, 0, 3, 3, 0, 0, 0, 2, 1, 3, 0, 1, 0, 1, 2, 4, 3, 1, 0, 4, 2, 1, 2, 2, 2, 0, 1, 3, 4, 0, 0, 3, 4, 0, 1, 1, 2, 1, 1, 2, 4, 3, 0, 3, 3, 2, 0, 1, 3, 0, 0, 4, 1, 3, 2, 0, 0, 1, 3, 0, 2, 2, 0, 0, 4, 1, 0, 2, 4, 1, 2, 2, 0, 0, 0, 4, 1, 4, 3, 4, 4, 3, 1, 3, 3, 4, 1, 0, 3, 4, 2, 0, 2, 2, 2, 2, 1, 1, 4, 3, 1, 1, 2, 3, 1, 0, 3, 3, 2, 1, 4, 0, 1, 0, 0, 1, 3, 4, 2, 1, 1, 4, 4, 3, 2, 3, 2, 3, 1, 1, 1, 2, 0, 2, 4, 0, 4, 4, 2, 2, 2, 3, 2, 0, 1, 0, 2, 2, 1, 4, 0, 4, 1, 4, 3, 4, 0, 2, 4, 2, 3, 1, 2, 1, 2, 3, 4, 2, 1, 0, 4, 4, 3, 0, 3, 3, 0, 1, 2, 2, 4, 1, 3, 3, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol807 = [2, 1, 0, 2, 1, 0, 0, 4, 0, 1, 4, 0, 1, 1, 1, 3, 0, 0, 4, 2, 0, 0, 2, 1, 1, 3, 4, 0, 4, 3, 1, 2, 4, 0, 4, 0, 1, 1, 3, 0, 3, 2, 2, 0, 4, 4, 0, 0, 1, 0, 0, 0, 4, 2, 2, 3, 0, 3, 2, 4, 0, 3, 0, 3, 3, 4, 4, 3, 4, 0, 4, 4, 0, 1, 2, 4, 4, 3, 0, 2, 0, 2, 3, 4, 0, 3, 3, 4, 0, 2, 4, 3, 2, 1, 1, 3, 3, 4, 2, 1, 4, 0, 3, 4, 1, 4, 2, 4, 2, 3, 4, 1, 0, 2, 2, 0, 3, 2, 4, 4, 4, 2, 3, 0, 3, 4, 1, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 3, 1, 3, 3, 2, 2, 1, 0, 0, 3, 1, 0, 2, 1, 3, 1, 4, 4, 4, 4, 3, 4, 0, 3, 2, 0, 0, 1, 0, 2, 1, 1, 2, 3, 0, 0, 2, 0, 2, 0, 0, 2, 1, 4, 2, 0, 0, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 4, 4, 4, 2, 0, 3, 4, 1, 1, 0, 1, 2, 2, 0, 3, 0, 3, 3, 3, 1, 1, 1, 0, 4, 4, 3, 4, 3, 2, 4, 2, 4, 0, 3, 3, 0, 0, 2, 1, 4, 3, 1, 3, 2, 2, 4, 0, 3, 4, 0, 3, 0, 0, 0, 3, 2, 1, 3, 3, 1, 4, 0, 2, 2, 0, 2, 4, 1, 3, 1, 0, 3, 2, 2, 2, 0, 0, 0, 3, 1, 2, 3, 2, 0, 1, 1, 4, 3, 4, 0, 3, 1, 2, 1, 2, 0, 3, 1, 3, 0, 3, 2, 3, 4, 1, 3, 2, 3, 0, 2, 1, 0, 4, 1, 1, 4, 0, 0, 1, 4, 3, 3, 3, 0, 1, 2, 1, 0, 3, 4, 4, 2, 4, 2, 2, 1, 1, 3, 2, 0, 0, 1, 4, 2, 2, 0, 4, 3, 3, 0, 2, 1, 1, 4, 0, 1, 2, 4, 0, 4, 2, 1, 0, 3, 4, 3, 4, 2, 4, 2, 1, 4, 0, 4, 1, 0, 0, 2, 2, 3, 2, 3, 2, 3, 3, 1, 2, 3, 4, 0, 1, 3, 2, 4, 2, 4, 4, 4, 2, 2, 2, 3, 4, 2] pubkeycol808 = [0, 1, 2, 2, 3, 4, 2, 2, 1, 1, 4, 0, 0, 0, 0, 3, 1, 1, 3, 0, 3, 3, 4, 0, 4, 0, 0, 0, 1, 3, 2, 3, 3, 0, 1, 0, 4, 2, 1, 0, 3, 1, 4, 2, 1, 0, 1, 3, 1, 4, 4, 4, 1, 3, 1, 4, 0, 2, 3, 1, 0, 4, 3, 1, 1, 2, 1, 3, 4, 1, 3, 0, 2, 3, 4, 0, 4, 2, 4, 2, 2, 4, 2, 2, 2, 2, 0, 3, 1, 1, 3, 1, 2, 1, 0, 0, 2, 2, 3, 1, 2, 0, 4, 0, 2, 1, 2, 3, 1, 2, 0, 3, 4, 1, 2, 1, 2, 2, 4, 1, 2, 2, 4, 0, 2, 0, 1, 0, 0, 1, 0, 4, 0, 3, 1, 4, 0, 3, 3, 1, 2, 2, 1, 2, 2, 1, 4, 0, 2, 0, 3, 3, 2, 3, 4, 3, 2, 2, 3, 1, 2, 2, 3, 1, 2, 4, 4, 1, 0, 4, 2, 1, 2, 0, 3, 2, 4, 3, 1, 0, 4, 0, 3, 3, 4, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 3, 1, 3, 3, 3, 1, 4, 3, 0, 1, 4, 0, 1, 1, 3, 0, 2, 1, 3, 2, 2, 0, 1, 1, 0, 3, 2, 2, 1, 1, 2, 1, 0, 4, 1, 4, 3, 1, 3, 2, 0, 0, 4, 3, 3, 2, 4, 3, 1, 4, 4, 0, 4, 0, 4, 4, 0, 2, 1, 0, 3, 4, 0, 3, 1, 2, 4, 2, 3, 4, 2, 4, 4, 2, 3, 2, 0, 1, 2, 1, 3, 0, 4, 2, 1, 0, 0, 1, 0, 4, 2, 4, 2, 4, 2, 0, 4, 1, 2, 0, 3, 4, 2, 2, 4, 4, 3, 1, 3, 4, 0, 2, 1, 0, 1, 1, 3, 2, 2, 2, 1, 0, 3, 1, 0, 1, 1, 3, 1, 0, 0, 4, 2, 2, 1, 4, 4, 4, 3, 1, 0, 4, 3, 3, 4, 4, 0, 3, 1, 1, 1, 4, 2, 1, 1, 3, 0, 0, 3, 4, 0, 0, 2, 1, 2, 2, 1, 0, 1, 3, 2, 0, 0, 4, 4, 4, 0, 1, 4, 3, 2, 1, 2, 3, 1, 4, 3, 2, 0, 3, 1, 0, 4, 1, 3, 1, 2, 4, 1, 3, 4, 2, 0, 3, 4] pubkeycol809 = [4, 0, 3, 3, 2, 4, 1, 1, 1, 3, 0, 3, 2, 2, 4, 1, 1, 4, 4, 2, 3, 3, 3, 2, 2, 3, 1, 0, 2, 4, 3, 3, 2, 4, 0, 3, 4, 2, 0, 0, 1, 0, 4, 2, 4, 2, 4, 1, 2, 4, 3, 1, 3, 3, 1, 0, 0, 2, 4, 0, 1, 2, 0, 2, 0, 3, 1, 3, 0, 2, 3, 0, 4, 2, 2, 1, 0, 2, 1, 4, 4, 0, 4, 1, 2, 3, 1, 2, 1, 4, 3, 1, 3, 3, 4, 4, 3, 2, 2, 0, 3, 4, 0, 1, 1, 0, 3, 3, 0, 1, 1, 0, 2, 3, 3, 1, 3, 2, 2, 4, 1, 4, 4, 3, 3, 1, 3, 2, 2, 0, 0, 4, 2, 4, 1, 4, 3, 0, 1, 1, 4, 1, 1, 3, 1, 2, 3, 4, 2, 2, 1, 2, 2, 4, 1, 0, 3, 1, 2, 0, 1, 2, 4, 3, 3, 2, 4, 1, 1, 4, 3, 0, 2, 2, 1, 3, 2, 1, 2, 0, 0, 1, 0, 2, 3, 2, 0, 2, 0, 0, 3, 4, 4, 0, 3, 4, 2, 1, 3, 2, 0, 1, 1, 4, 3, 4, 2, 0, 3, 2, 4, 4, 2, 3, 3, 1, 2, 1, 0, 4, 4, 3, 1, 4, 2, 0, 3, 1, 3, 2, 3, 2, 2, 4, 2, 0, 2, 0, 3, 3, 4, 0, 3, 0, 2, 3, 1, 0, 4, 3, 3, 1, 2, 4, 4, 1, 0, 4, 0, 4, 2, 3, 3, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 3, 1, 3, 1, 2, 4, 3, 0, 1, 4, 4, 1, 3, 1, 3, 2, 3, 2, 3, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 4, 0, 4, 4, 1, 3, 0, 2, 1, 3, 3, 0, 3, 1, 2, 1, 3, 1, 4, 4, 0, 2, 3, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 4, 2, 2, 0, 2, 1, 0, 2, 0, 3, 1, 0, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 2, 2, 2, 4, 4, 2, 2, 3, 4, 2, 0, 1, 1, 3, 2, 0, 4, 0, 2, 3, 0, 4, 0, 0, 4, 3, 1, 1, 4, 2, 1, 1, 4, 3, 0, 3, 0] pubkeycol810 = [0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 4, 3, 2, 4, 3, 1, 0, 2, 0, 1, 4, 3, 3, 3, 4, 1, 2, 0, 4, 4, 3, 4, 1, 4, 2, 3, 3, 2, 2, 0, 2, 2, 1, 2, 4, 2, 1, 2, 0, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 0, 0, 0, 2, 1, 3, 1, 0, 2, 0, 2, 1, 1, 0, 4, 0, 0, 3, 3, 4, 4, 1, 2, 4, 2, 0, 2, 2, 4, 4, 3, 0, 2, 0, 3, 0, 0, 0, 2, 3, 2, 3, 0, 1, 3, 2, 3, 0, 3, 2, 0, 0, 0, 0, 4, 0, 3, 1, 2, 0, 0, 1, 0, 1, 1, 2, 3, 1, 4, 4, 4, 4, 1, 4, 4, 1, 3, 2, 2, 0, 2, 0, 2, 2, 0, 2, 3, 3, 4, 3, 1, 1, 3, 1, 3, 0, 4, 4, 0, 1, 3, 1, 1, 3, 0, 0, 1, 0, 3, 1, 4, 3, 3, 2, 3, 3, 1, 3, 2, 0, 3, 3, 2, 4, 2, 3, 1, 2, 1, 4, 1, 3, 2, 1, 3, 1, 1, 4, 2, 4, 0, 3, 1, 3, 0, 1, 2, 0, 4, 1, 3, 1, 0, 1, 3, 4, 3, 1, 1, 0, 4, 0, 4, 4, 1, 4, 3, 4, 1, 2, 4, 3, 1, 0, 1, 4, 0, 0, 3, 2, 3, 2, 4, 4, 3, 0, 3, 4, 4, 0, 4, 1, 2, 1, 1, 4, 1, 2, 1, 0, 2, 1, 2, 0, 2, 3, 2, 2, 3, 2, 0, 2, 3, 2, 4, 0, 4, 3, 3, 0, 3, 3, 2, 4, 3, 4, 4, 2, 4, 1, 1, 4, 1, 2, 4, 4, 1, 3, 1, 0, 2, 3, 3, 1, 4, 3, 2, 0, 3, 4, 4, 4, 0, 0, 2, 0, 0, 0, 4, 0, 0, 4, 2, 4, 0, 0, 4, 1, 4, 2, 0, 4, 0, 3, 1, 2, 4, 4, 2, 3, 4, 4, 4, 1, 0, 2, 2, 3, 2, 1, 1, 2, 4, 2, 4, 4, 1, 2, 1, 2, 3, 1, 1, 1, 3, 0, 4, 3, 2, 2, 1, 1, 0, 4, 4, 2, 4, 4, 2, 1, 4, 4, 2, 0, 3, 3, 2, 2, 2, 1, 4, 2, 3, 4, 2, 4, 1, 3, 1, 2] pubkeycol811 = [2, 3, 3, 0, 2, 1, 2, 0, 4, 4, 4, 1, 0, 1, 0, 2, 4, 2, 2, 0, 0, 3, 3, 1, 2, 4, 3, 1, 4, 3, 4, 0, 2, 1, 3, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 3, 4, 1, 0, 1, 1, 0, 0, 1, 1, 4, 2, 1, 3, 1, 0, 3, 0, 3, 2, 2, 1, 0, 4, 4, 3, 1, 4, 0, 3, 1, 3, 0, 3, 0, 2, 0, 3, 1, 1, 3, 4, 1, 3, 1, 1, 2, 3, 0, 4, 1, 1, 2, 4, 2, 0, 4, 3, 3, 4, 2, 2, 4, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 3, 0, 2, 1, 4, 1, 3, 1, 1, 4, 1, 4, 1, 2, 4, 0, 1, 4, 0, 4, 1, 3, 1, 0, 1, 3, 1, 0, 4, 2, 1, 2, 3, 4, 1, 1, 1, 0, 3, 2, 3, 0, 2, 1, 2, 3, 1, 4, 2, 3, 2, 2, 4, 4, 3, 2, 1, 4, 1, 3, 4, 3, 4, 2, 1, 1, 4, 3, 1, 4, 1, 1, 1, 2, 2, 1, 0, 1, 2, 3, 4, 1, 3, 4, 4, 1, 3, 4, 4, 2, 3, 4, 1, 2, 3, 2, 1, 0, 2, 4, 3, 1, 3, 2, 4, 2, 0, 2, 0, 1, 1, 0, 1, 3, 2, 1, 0, 4, 3, 4, 1, 1, 4, 4, 0, 2, 0, 4, 2, 1, 2, 1, 4, 2, 1, 2, 0, 1, 2, 3, 2, 4, 4, 1, 1, 4, 0, 1, 3, 3, 2, 4, 0, 0, 1, 0, 1, 2, 4, 0, 1, 3, 4, 3, 1, 0, 2, 2, 1, 4, 3, 3, 4, 3, 1, 2, 0, 4, 2, 0, 3, 0, 4, 4, 4, 0, 0, 0, 0, 3, 4, 3, 2, 4, 4, 4, 0, 0, 4, 0, 4, 0, 3, 4, 0, 4, 2, 2, 4, 0, 2, 2, 1, 1, 4, 4, 1, 1, 0, 1, 3, 4, 3, 2, 4, 2, 0, 0, 0, 0, 3, 4, 3, 0, 0, 0, 2, 3, 1, 0, 4, 4, 2, 4, 3, 1, 0, 1, 2, 3, 0, 1, 0, 4, 1, 0, 0, 4, 3, 4, 0, 3, 1, 2, 4, 3, 4, 2, 3, 0, 1, 1, 3, 4, 0, 4, 2, 2, 4, 3, 2, 0] pubkeycol812 = [2, 1, 4, 3, 3, 4, 0, 0, 4, 0, 0, 3, 0, 4, 0, 1, 3, 2, 1, 0, 1, 1, 4, 3, 1, 4, 3, 0, 4, 3, 4, 4, 3, 1, 0, 0, 2, 4, 4, 1, 4, 1, 2, 4, 0, 0, 4, 4, 0, 4, 1, 1, 4, 2, 4, 0, 3, 3, 0, 0, 0, 4, 4, 3, 4, 1, 2, 2, 2, 1, 2, 2, 1, 0, 3, 0, 2, 2, 4, 1, 2, 1, 3, 2, 2, 1, 2, 4, 0, 1, 4, 4, 4, 3, 0, 2, 4, 0, 0, 3, 0, 2, 3, 4, 3, 0, 1, 3, 4, 4, 3, 0, 1, 2, 1, 3, 1, 3, 4, 4, 3, 2, 1, 3, 3, 0, 3, 3, 2, 0, 0, 0, 3, 0, 2, 2, 2, 1, 1, 4, 3, 0, 3, 2, 3, 3, 1, 1, 3, 0, 4, 2, 2, 1, 0, 2, 4, 4, 3, 4, 4, 2, 4, 3, 4, 2, 3, 4, 3, 2, 2, 0, 4, 0, 0, 0, 0, 2, 3, 2, 3, 2, 1, 3, 3, 4, 4, 0, 0, 3, 0, 4, 1, 0, 2, 1, 1, 4, 1, 2, 4, 3, 3, 3, 4, 4, 3, 4, 0, 3, 3, 0, 4, 4, 1, 4, 4, 4, 3, 1, 1, 1, 4, 2, 4, 1, 1, 1, 1, 3, 0, 3, 2, 4, 2, 4, 2, 2, 3, 3, 1, 2, 3, 0, 0, 4, 0, 2, 0, 0, 3, 1, 2, 4, 4, 1, 3, 2, 2, 0, 2, 4, 2, 2, 3, 0, 4, 3, 4, 1, 2, 1, 4, 4, 0, 3, 2, 2, 1, 0, 3, 4, 4, 4, 2, 3, 2, 4, 2, 3, 4, 1, 2, 3, 2, 1, 2, 1, 3, 4, 3, 3, 1, 0, 2, 4, 3, 4, 3, 0, 4, 3, 0, 2, 2, 1, 0, 3, 3, 3, 3, 1, 3, 4, 4, 3, 1, 3, 3, 3, 0, 2, 2, 2, 4, 3, 3, 1, 1, 0, 3, 3, 1, 4, 0, 3, 1, 3, 3, 2, 1, 4, 3, 2, 3, 2, 1, 4, 4, 3, 4, 2, 3, 3, 3, 2, 3, 3, 2, 0, 3, 4, 1, 3, 0, 4, 4, 2, 0, 2, 1, 0, 4, 1, 4, 1, 2, 2, 4, 3, 4, 2, 3, 1, 4, 2, 0, 4, 2, 1] pubkeycol813 = [0, 1, 3, 4, 4, 0, 4, 0, 0, 4, 3, 4, 3, 2, 3, 2, 1, 0, 0, 0, 4, 3, 3, 2, 2, 3, 2, 1, 1, 0, 3, 2, 4, 2, 0, 2, 4, 4, 3, 1, 1, 4, 2, 4, 1, 0, 3, 1, 1, 2, 2, 4, 0, 1, 2, 3, 1, 4, 1, 1, 1, 0, 1, 3, 0, 3, 0, 4, 0, 0, 2, 0, 3, 4, 0, 4, 3, 3, 3, 4, 0, 2, 3, 3, 0, 2, 3, 4, 0, 3, 2, 4, 4, 0, 3, 3, 2, 0, 4, 0, 0, 0, 0, 3, 1, 2, 3, 4, 0, 1, 3, 2, 4, 0, 2, 2, 0, 0, 0, 4, 1, 1, 2, 2, 4, 3, 3, 2, 4, 1, 2, 0, 4, 2, 2, 2, 0, 3, 3, 1, 1, 3, 2, 1, 0, 0, 2, 2, 3, 1, 3, 4, 4, 1, 0, 3, 0, 3, 1, 0, 3, 0, 4, 3, 3, 0, 0, 0, 1, 4, 1, 3, 2, 1, 1, 0, 3, 1, 4, 1, 2, 3, 0, 1, 4, 2, 4, 2, 3, 2, 3, 3, 4, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 3, 0, 2, 0, 0, 1, 3, 3, 2, 1, 0, 2, 1, 3, 0, 1, 2, 4, 4, 4, 1, 2, 0, 0, 2, 3, 4, 4, 4, 0, 0, 3, 2, 2, 2, 0, 0, 3, 1, 0, 1, 1, 3, 3, 4, 1, 0, 2, 1, 0, 0, 1, 0, 4, 4, 3, 1, 2, 2, 3, 1, 1, 3, 3, 4, 2, 3, 4, 0, 2, 1, 1, 3, 0, 2, 0, 3, 3, 3, 2, 2, 4, 4, 2, 4, 2, 2, 4, 3, 4, 1, 1, 3, 1, 3, 4, 2, 2, 4, 3, 2, 0, 1, 4, 2, 1, 4, 3, 1, 1, 1, 1, 0, 3, 3, 4, 1, 2, 2, 4, 2, 2, 0, 3, 0, 3, 1, 4, 3, 1, 2, 4, 0, 2, 1, 4, 3, 2, 4, 4, 0, 1, 3, 3, 1, 4, 4, 2, 2, 0, 1, 0, 4, 2, 2, 0, 3, 2, 1, 1, 1, 4, 2, 0, 0, 2, 2, 3, 0, 3, 1, 2, 2, 2, 2, 0, 4, 0, 0, 3, 3, 3, 3, 1, 3, 1, 3, 2, 4, 0, 0] pubkeycol814 = [0, 4, 0, 0, 3, 4, 3, 3, 1, 1, 3, 4, 0, 1, 3, 4, 3, 0, 1, 3, 0, 4, 1, 1, 2, 3, 2, 0, 0, 0, 3, 2, 1, 0, 2, 0, 2, 0, 0, 4, 4, 3, 0, 4, 4, 0, 2, 2, 3, 0, 4, 1, 1, 4, 1, 4, 3, 4, 2, 2, 4, 4, 2, 0, 4, 4, 0, 4, 0, 1, 0, 3, 2, 1, 2, 1, 0, 1, 2, 0, 4, 3, 4, 1, 4, 0, 3, 1, 1, 2, 2, 3, 3, 0, 2, 2, 1, 3, 1, 1, 1, 4, 3, 1, 4, 4, 4, 2, 0, 3, 4, 4, 1, 1, 3, 0, 3, 3, 0, 1, 4, 3, 3, 1, 2, 1, 4, 2, 2, 2, 3, 4, 4, 2, 1, 0, 1, 0, 4, 4, 2, 3, 1, 1, 1, 3, 3, 4, 2, 2, 2, 0, 2, 4, 4, 4, 4, 1, 2, 4, 0, 3, 2, 0, 1, 4, 0, 0, 2, 3, 0, 2, 0, 0, 3, 0, 3, 3, 4, 4, 3, 3, 4, 2, 4, 3, 2, 2, 3, 4, 1, 0, 0, 2, 2, 4, 4, 2, 1, 0, 2, 3, 4, 2, 2, 2, 2, 3, 2, 1, 4, 1, 1, 3, 0, 2, 1, 1, 1, 3, 1, 2, 4, 4, 3, 3, 2, 2, 3, 0, 3, 3, 3, 0, 4, 3, 3, 2, 2, 3, 0, 4, 2, 2, 4, 4, 0, 2, 4, 4, 2, 4, 1, 2, 4, 2, 1, 2, 4, 2, 3, 0, 3, 3, 2, 1, 1, 1, 3, 3, 2, 0, 4, 2, 3, 4, 4, 1, 2, 0, 4, 3, 4, 3, 3, 4, 3, 2, 0, 2, 3, 3, 2, 4, 2, 4, 2, 4, 1, 2, 2, 0, 3, 4, 4, 4, 1, 2, 4, 0, 1, 0, 3, 4, 1, 1, 4, 0, 2, 0, 4, 1, 3, 0, 2, 0, 1, 3, 1, 3, 1, 3, 2, 3, 3, 3, 3, 2, 4, 0, 3, 2, 1, 3, 2, 3, 3, 4, 2, 3, 0, 4, 3, 0, 4, 3, 1, 3, 2, 0, 4, 2, 1, 1, 1, 0, 1, 3, 4, 2, 3, 3, 0, 2, 0, 1, 1, 2, 3, 2, 0, 2, 1, 4, 2, 2, 1, 1, 4, 2, 2, 3, 3, 4, 0, 4, 3, 4, 3, 0] pubkeycol815 = [2, 1, 3, 4, 4, 1, 1, 2, 0, 0, 4, 2, 0, 2, 4, 2, 4, 4, 1, 3, 2, 2, 1, 4, 0, 4, 0, 2, 1, 3, 2, 2, 4, 3, 2, 3, 2, 3, 0, 3, 3, 4, 4, 3, 2, 2, 3, 0, 1, 0, 4, 1, 1, 2, 0, 0, 4, 1, 2, 2, 4, 3, 3, 0, 0, 0, 3, 3, 2, 4, 1, 0, 4, 0, 1, 2, 1, 2, 2, 1, 4, 4, 0, 2, 1, 3, 2, 4, 2, 0, 2, 2, 4, 1, 3, 1, 1, 2, 4, 3, 4, 3, 4, 4, 2, 1, 2, 1, 2, 1, 2, 2, 1, 3, 0, 1, 2, 1, 4, 2, 3, 4, 3, 4, 4, 2, 0, 2, 3, 2, 4, 4, 0, 2, 1, 2, 0, 4, 2, 1, 1, 2, 1, 4, 1, 2, 1, 3, 4, 2, 3, 4, 4, 2, 4, 1, 0, 3, 3, 4, 0, 1, 1, 0, 3, 1, 3, 0, 4, 3, 4, 2, 0, 3, 0, 2, 1, 0, 1, 3, 0, 3, 3, 0, 2, 2, 4, 3, 1, 2, 1, 3, 4, 4, 3, 2, 4, 2, 3, 3, 1, 2, 0, 0, 2, 0, 0, 1, 3, 2, 1, 0, 0, 4, 3, 0, 4, 0, 3, 4, 2, 3, 2, 2, 3, 0, 1, 2, 2, 3, 2, 1, 1, 3, 0, 4, 3, 4, 0, 1, 1, 2, 4, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 0, 0, 3, 1, 4, 4, 1, 4, 3, 1, 0, 1, 4, 3, 3, 0, 4, 0, 2, 4, 4, 2, 0, 2, 4, 3, 1, 2, 3, 1, 0, 4, 0, 2, 3, 0, 3, 2, 1, 1, 1, 1, 3, 2, 0, 0, 0, 2, 4, 2, 3, 0, 1, 2, 2, 3, 2, 0, 4, 3, 4, 4, 3, 3, 2, 4, 2, 3, 3, 1, 0, 2, 3, 2, 0, 1, 2, 0, 2, 1, 4, 0, 4, 2, 4, 0, 2, 1, 4, 3, 1, 0, 0, 2, 1, 1, 2, 4, 2, 0, 2, 4, 3, 4, 3, 4, 2, 0, 1, 2, 0, 4, 1, 0, 0, 1, 3, 4, 4, 4, 1, 3, 2, 3, 3, 3, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 4, 3, 4, 4, 1, 0, 0, 3, 2, 3, 4] pubkeycol816 = [4, 3, 2, 1, 2, 3, 0, 0, 1, 0, 3, 0, 3, 4, 1, 1, 3, 3, 0, 3, 2, 1, 0, 4, 0, 3, 3, 3, 1, 2, 3, 0, 4, 2, 2, 1, 4, 0, 3, 4, 1, 2, 2, 0, 0, 1, 1, 3, 1, 4, 0, 3, 0, 1, 2, 1, 4, 0, 1, 3, 4, 1, 1, 3, 1, 3, 1, 2, 0, 4, 0, 4, 3, 2, 4, 3, 3, 3, 1, 4, 0, 1, 0, 1, 4, 4, 3, 3, 3, 2, 4, 4, 3, 0, 0, 2, 3, 4, 4, 0, 1, 0, 3, 4, 1, 0, 4, 2, 1, 3, 0, 3, 2, 1, 1, 1, 4, 0, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 2, 3, 0, 1, 4, 1, 1, 2, 2, 0, 1, 0, 1, 2, 4, 2, 0, 1, 3, 3, 0, 2, 2, 3, 1, 2, 2, 0, 1, 3, 0, 1, 3, 4, 3, 2, 1, 0, 4, 3, 3, 2, 0, 1, 3, 2, 4, 2, 4, 1, 4, 1, 4, 1, 0, 1, 3, 3, 4, 0, 0, 0, 1, 4, 2, 2, 3, 1, 3, 2, 4, 1, 1, 3, 0, 3, 0, 3, 3, 1, 1, 3, 3, 4, 4, 0, 2, 4, 4, 0, 0, 4, 4, 4, 1, 4, 1, 3, 4, 4, 2, 3, 0, 4, 0, 4, 1, 3, 4, 2, 0, 1, 4, 4, 4, 2, 1, 2, 3, 2, 3, 3, 4, 1, 3, 1, 0, 1, 4, 0, 3, 1, 1, 3, 3, 3, 4, 1, 1, 0, 4, 0, 3, 4, 0, 2, 1, 2, 2, 3, 2, 1, 0, 1, 0, 1, 2, 2, 4, 3, 4, 0, 4, 1, 4, 1, 4, 4, 0, 1, 2, 3, 4, 2, 4, 2, 0, 2, 0, 1, 4, 3, 3, 1, 0, 4, 3, 1, 4, 1, 3, 3, 0, 0, 4, 0, 0, 2, 4, 3, 1, 4, 4, 0, 1, 1, 4, 1, 1, 0, 2, 3, 0, 2, 0, 2, 4, 0, 1, 2, 4, 2, 4, 2, 2, 3, 3, 1, 1, 1, 2, 0, 2, 1, 0, 4, 0, 4, 3, 1, 2, 4, 0, 2, 1, 2, 2, 3, 4, 4, 0, 2, 4, 3, 3, 0, 4, 0, 4, 1, 1, 2, 0, 4, 4, 3, 2, 2, 4, 1, 1, 2] pubkeycol817 = [0, 3, 1, 3, 0, 3, 2, 4, 0, 1, 2, 1, 4, 0, 1, 1, 3, 4, 2, 3, 2, 3, 1, 1, 2, 4, 4, 2, 3, 1, 2, 0, 2, 4, 3, 3, 3, 0, 3, 2, 1, 4, 3, 0, 2, 4, 1, 2, 1, 2, 1, 0, 1, 4, 1, 3, 0, 2, 1, 3, 3, 4, 1, 1, 0, 0, 2, 3, 1, 0, 1, 2, 4, 1, 2, 4, 3, 3, 0, 1, 1, 2, 3, 2, 1, 4, 3, 3, 2, 3, 3, 1, 4, 2, 3, 1, 2, 4, 4, 0, 0, 1, 0, 4, 4, 2, 0, 3, 3, 2, 0, 0, 4, 3, 0, 1, 2, 3, 2, 2, 4, 1, 2, 3, 2, 4, 3, 2, 0, 3, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 4, 3, 1, 3, 3, 1, 2, 4, 0, 1, 3, 1, 1, 0, 3, 0, 3, 4, 3, 0, 4, 0, 1, 4, 1, 4, 3, 0, 2, 3, 3, 1, 1, 4, 4, 4, 4, 3, 1, 2, 0, 0, 1, 2, 4, 2, 0, 3, 3, 1, 4, 0, 3, 0, 4, 1, 1, 4, 0, 2, 4, 0, 2, 1, 3, 2, 0, 1, 4, 0, 1, 0, 0, 4, 3, 4, 4, 4, 0, 3, 1, 3, 1, 3, 1, 1, 4, 2, 2, 0, 0, 2, 2, 1, 3, 3, 1, 0, 3, 3, 4, 1, 3, 0, 4, 4, 0, 0, 2, 4, 2, 4, 0, 1, 2, 3, 2, 1, 4, 0, 1, 0, 4, 3, 0, 3, 4, 1, 4, 3, 0, 1, 0, 0, 3, 1, 1, 3, 3, 0, 2, 2, 0, 0, 2, 1, 1, 1, 3, 4, 0, 1, 1, 0, 4, 0, 0, 1, 4, 3, 2, 3, 2, 1, 3, 2, 0, 2, 2, 2, 3, 0, 4, 3, 4, 2, 1, 3, 2, 1, 2, 3, 2, 1, 3, 1, 3, 4, 4, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 4, 4, 2, 1, 0, 3, 0, 4, 2, 2, 1, 4, 4, 4, 0, 2, 0, 0, 0, 1, 4, 0, 0, 2, 0, 0, 3, 0, 1, 3, 4, 0, 4, 4, 1, 2, 4, 4, 3, 0, 2, 0, 1, 2, 3, 3, 0, 0, 1, 3, 1, 3, 3, 2, 3, 0, 0, 3, 1, 0] pubkeycol818 = [3, 2, 4, 3, 3, 2, 2, 2, 3, 1, 1, 4, 3, 2, 2, 1, 3, 2, 2, 3, 0, 3, 0, 3, 1, 4, 1, 2, 2, 4, 1, 1, 2, 4, 3, 1, 3, 1, 2, 4, 0, 3, 2, 3, 1, 2, 0, 4, 1, 1, 3, 1, 0, 2, 0, 1, 2, 2, 4, 0, 2, 2, 0, 3, 0, 1, 4, 2, 2, 1, 2, 2, 0, 4, 2, 2, 3, 1, 1, 0, 1, 2, 3, 1, 1, 0, 3, 1, 3, 0, 0, 3, 2, 4, 2, 4, 3, 0, 3, 0, 0, 0, 1, 0, 2, 0, 2, 3, 1, 3, 2, 0, 3, 1, 1, 1, 4, 1, 0, 3, 4, 4, 2, 4, 1, 0, 2, 0, 3, 4, 0, 4, 3, 0, 0, 1, 1, 3, 3, 2, 1, 4, 4, 4, 3, 4, 2, 4, 2, 3, 4, 4, 3, 3, 4, 0, 4, 2, 4, 1, 1, 3, 3, 3, 4, 2, 4, 1, 0, 3, 4, 3, 4, 1, 3, 4, 1, 3, 0, 2, 4, 1, 3, 2, 2, 2, 2, 3, 4, 1, 2, 3, 2, 0, 3, 0, 3, 3, 0, 3, 2, 2, 2, 2, 1, 0, 0, 1, 0, 3, 3, 1, 0, 2, 0, 4, 4, 3, 0, 1, 0, 3, 1, 1, 1, 0, 1, 4, 0, 4, 0, 2, 4, 3, 0, 0, 0, 3, 1, 1, 2, 2, 3, 4, 3, 2, 1, 3, 3, 4, 4, 4, 1, 1, 4, 2, 2, 0, 2, 2, 1, 3, 0, 1, 4, 1, 0, 3, 2, 3, 3, 2, 0, 4, 0, 0, 2, 0, 3, 2, 2, 1, 4, 0, 2, 3, 4, 4, 4, 0, 2, 4, 0, 0, 3, 3, 0, 1, 2, 0, 4, 1, 1, 0, 4, 4, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 4, 0, 1, 1, 1, 1, 0, 3, 0, 4, 2, 4, 4, 2, 2, 0, 4, 1, 4, 0, 0, 3, 3, 3, 2, 1, 0, 3, 0, 2, 4, 1, 0, 2, 4, 1, 4, 2, 2, 2, 4, 2, 2, 1, 4, 3, 1, 0, 2, 2, 2, 4, 3, 4, 0, 0, 0, 4, 0, 3, 2, 0, 4, 4, 1, 2, 0, 4, 4, 0, 1, 2, 0, 3, 1, 4, 2, 4, 1, 0, 4, 2, 3, 0] pubkeycol819 = [1, 3, 4, 0, 3, 2, 1, 3, 1, 1, 4, 2, 3, 3, 2, 1, 2, 1, 1, 0, 4, 0, 4, 2, 0, 3, 0, 4, 1, 2, 0, 4, 2, 4, 3, 1, 2, 0, 4, 1, 0, 1, 1, 2, 2, 3, 4, 3, 2, 0, 3, 3, 1, 3, 4, 3, 1, 1, 3, 3, 0, 3, 2, 3, 0, 2, 2, 1, 3, 2, 1, 3, 1, 1, 4, 3, 0, 1, 4, 2, 4, 2, 1, 0, 4, 1, 2, 0, 1, 4, 1, 3, 2, 3, 0, 3, 3, 1, 4, 3, 2, 1, 4, 2, 3, 2, 1, 0, 4, 0, 3, 0, 3, 0, 0, 3, 3, 0, 4, 0, 4, 0, 0, 1, 2, 1, 0, 1, 3, 3, 2, 0, 1, 3, 0, 4, 1, 2, 1, 3, 3, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 4, 3, 0, 4, 3, 4, 4, 2, 2, 0, 4, 0, 1, 2, 3, 0, 2, 2, 4, 2, 3, 4, 1, 3, 3, 2, 1, 0, 2, 1, 3, 0, 4, 0, 4, 2, 1, 2, 1, 1, 1, 1, 3, 4, 0, 0, 3, 0, 2, 3, 0, 1, 4, 1, 0, 3, 1, 4, 3, 1, 2, 2, 4, 4, 3, 0, 1, 1, 4, 1, 2, 2, 2, 0, 2, 4, 2, 0, 0, 2, 3, 1, 1, 1, 3, 4, 4, 2, 3, 2, 4, 2, 0, 0, 1, 1, 1, 2, 4, 3, 2, 4, 3, 2, 4, 0, 3, 2, 3, 2, 2, 1, 4, 1, 4, 2, 4, 0, 0, 3, 4, 0, 1, 2, 0, 3, 0, 2, 0, 3, 1, 3, 0, 1, 4, 0, 4, 2, 0, 1, 2, 2, 0, 4, 0, 4, 0, 1, 2, 2, 2, 0, 3, 4, 1, 2, 3, 4, 0, 3, 2, 1, 0, 1, 2, 1, 3, 2, 4, 4, 1, 2, 0, 2, 1, 3, 2, 1, 3, 4, 4, 3, 1, 0, 1, 1, 3, 3, 2, 1, 2, 2, 1, 1, 0, 3, 4, 0, 3, 2, 0, 3, 2, 0, 2, 3, 0, 4, 3, 3, 3, 0, 1, 4, 0, 2, 2, 1, 1, 0, 1, 1, 4, 3, 3, 3, 0, 3, 1, 4, 0, 3, 0, 4, 4, 3, 0, 3, 2, 3, 2, 4, 0, 2, 3, 4, 1] pubkeycol820 = [0, 1, 3, 0, 1, 2, 0, 0, 2, 1, 1, 1, 4, 1, 1, 4, 4, 4, 1, 2, 3, 0, 1, 1, 3, 2, 0, 4, 1, 0, 0, 1, 3, 1, 3, 4, 1, 0, 2, 2, 2, 4, 0, 2, 1, 3, 2, 3, 3, 1, 1, 0, 3, 0, 1, 1, 1, 3, 4, 3, 4, 4, 4, 3, 2, 3, 3, 0, 0, 4, 0, 2, 2, 4, 0, 4, 3, 3, 0, 1, 3, 0, 2, 2, 0, 0, 3, 2, 0, 1, 2, 2, 4, 1, 4, 2, 1, 1, 2, 2, 1, 4, 1, 1, 3, 3, 1, 0, 3, 0, 4, 3, 1, 0, 3, 0, 1, 4, 1, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 0, 2, 1, 1, 3, 1, 1, 0, 1, 3, 1, 1, 2, 0, 0, 1, 0, 0, 4, 1, 4, 4, 0, 3, 4, 0, 4, 1, 0, 4, 1, 4, 3, 1, 0, 2, 1, 1, 1, 4, 1, 3, 3, 0, 2, 2, 1, 1, 2, 3, 3, 4, 3, 1, 1, 1, 1, 0, 4, 0, 4, 4, 4, 1, 4, 3, 4, 0, 1, 2, 2, 0, 1, 2, 3, 2, 4, 2, 4, 0, 1, 4, 4, 1, 2, 0, 1, 4, 4, 3, 4, 1, 0, 0, 2, 4, 1, 1, 2, 2, 1, 1, 2, 3, 3, 1, 3, 2, 4, 1, 3, 3, 2, 1, 3, 3, 4, 2, 2, 2, 3, 2, 4, 3, 4, 1, 4, 1, 1, 3, 1, 3, 1, 2, 1, 0, 1, 2, 3, 2, 0, 1, 2, 3, 3, 2, 1, 4, 0, 0, 2, 3, 2, 4, 3, 4, 0, 3, 2, 1, 2, 4, 1, 1, 2, 1, 2, 2, 2, 3, 1, 4, 3, 1, 3, 4, 1, 2, 2, 4, 1, 0, 0, 4, 0, 3, 0, 3, 2, 2, 3, 4, 3, 0, 3, 2, 3, 0, 1, 3, 4, 4, 2, 0, 1, 0, 3, 0, 2, 3, 0, 1, 4, 3, 3, 0, 3, 4, 1, 3, 0, 1, 0, 4, 0, 2, 0, 4, 1, 1, 1, 1, 2, 1, 4, 1, 2, 4, 0, 0, 2, 3, 0, 2, 1, 3, 0, 4, 0, 1, 2, 4, 2, 0, 2, 3, 4, 2, 2, 3, 1, 3, 3, 3, 2, 0, 4, 4, 0, 1, 1] pubkeycol821 = [2, 4, 3, 0, 4, 4, 2, 0, 1, 3, 1, 3, 1, 2, 4, 0, 3, 0, 1, 4, 4, 2, 2, 1, 1, 4, 0, 1, 0, 3, 2, 0, 3, 2, 0, 4, 3, 0, 3, 2, 0, 2, 1, 4, 4, 1, 4, 2, 3, 1, 3, 1, 2, 0, 2, 2, 4, 4, 4, 2, 4, 0, 2, 2, 3, 1, 1, 3, 4, 1, 4, 3, 3, 0, 2, 0, 4, 2, 1, 2, 2, 2, 2, 0, 4, 1, 1, 4, 3, 3, 4, 0, 4, 3, 3, 3, 4, 2, 0, 0, 2, 4, 0, 2, 0, 4, 4, 1, 2, 4, 2, 0, 1, 4, 4, 1, 0, 2, 1, 2, 4, 4, 2, 4, 0, 2, 0, 3, 0, 0, 0, 1, 1, 4, 2, 3, 4, 4, 4, 2, 3, 1, 0, 2, 0, 3, 1, 0, 1, 1, 3, 4, 3, 0, 1, 4, 4, 4, 1, 3, 4, 4, 3, 2, 0, 3, 1, 4, 2, 2, 0, 1, 3, 1, 4, 1, 1, 0, 2, 3, 0, 4, 3, 2, 3, 1, 0, 1, 1, 1, 4, 3, 0, 0, 1, 2, 2, 0, 0, 4, 3, 4, 0, 0, 2, 4, 3, 0, 4, 1, 2, 1, 2, 2, 2, 3, 0, 1, 4, 2, 4, 3, 1, 3, 3, 0, 2, 2, 0, 1, 1, 4, 3, 1, 0, 0, 1, 3, 0, 4, 2, 1, 1, 0, 3, 1, 4, 3, 3, 1, 1, 4, 0, 3, 2, 3, 1, 1, 1, 2, 0, 0, 2, 4, 4, 4, 4, 2, 4, 0, 4, 1, 3, 3, 2, 2, 0, 1, 4, 0, 4, 3, 2, 0, 4, 2, 4, 1, 1, 1, 4, 4, 2, 0, 1, 4, 4, 0, 4, 2, 1, 0, 1, 1, 0, 1, 2, 0, 4, 1, 4, 3, 0, 0, 3, 1, 2, 1, 3, 4, 3, 1, 4, 4, 1, 4, 4, 1, 4, 0, 3, 3, 3, 0, 3, 0, 3, 0, 4, 0, 4, 3, 4, 3, 0, 0, 4, 3, 4, 3, 3, 1, 2, 4, 2, 3, 1, 1, 2, 4, 0, 4, 3, 0, 1, 4, 1, 0, 0, 2, 1, 3, 4, 2, 2, 1, 4, 0, 1, 3, 0, 0, 0, 2, 2, 3, 1, 1, 3, 1, 4, 2, 1, 4, 1, 3, 0, 0, 3, 0] pubkeycol822 = [4, 2, 2, 0, 3, 3, 1, 0, 0, 4, 3, 2, 2, 2, 4, 2, 3, 1, 4, 2, 3, 1, 3, 3, 0, 1, 1, 4, 3, 2, 0, 4, 0, 4, 2, 1, 0, 1, 0, 3, 3, 3, 1, 0, 0, 3, 1, 4, 3, 0, 3, 1, 1, 1, 2, 1, 1, 2, 4, 2, 3, 4, 2, 0, 2, 1, 4, 2, 1, 2, 4, 4, 2, 0, 1, 4, 1, 2, 1, 3, 0, 4, 4, 4, 1, 3, 3, 0, 3, 0, 1, 4, 4, 4, 1, 1, 3, 0, 1, 2, 2, 0, 2, 3, 2, 2, 2, 1, 4, 4, 0, 3, 1, 3, 3, 3, 0, 4, 4, 1, 1, 3, 2, 4, 0, 2, 3, 2, 1, 4, 3, 1, 2, 3, 4, 2, 1, 1, 1, 0, 4, 3, 0, 0, 4, 3, 3, 2, 1, 4, 2, 0, 1, 3, 3, 0, 2, 3, 4, 3, 3, 3, 1, 3, 2, 4, 0, 2, 0, 4, 0, 1, 0, 0, 2, 1, 1, 0, 1, 3, 0, 3, 0, 0, 2, 4, 0, 0, 2, 0, 4, 0, 3, 4, 4, 2, 1, 2, 3, 3, 0, 3, 4, 0, 3, 1, 2, 1, 2, 4, 4, 0, 3, 0, 3, 2, 1, 0, 2, 0, 3, 4, 4, 1, 1, 1, 0, 2, 2, 3, 4, 1, 0, 3, 4, 3, 3, 4, 0, 0, 0, 1, 1, 4, 1, 4, 4, 0, 3, 2, 2, 3, 4, 1, 3, 2, 3, 2, 2, 4, 0, 1, 3, 4, 1, 0, 1, 2, 2, 4, 0, 3, 0, 3, 0, 1, 4, 1, 4, 2, 1, 4, 4, 1, 3, 0, 3, 2, 4, 1, 1, 3, 2, 0, 4, 0, 4, 1, 3, 2, 0, 0, 3, 2, 0, 1, 4, 0, 3, 4, 0, 3, 4, 1, 1, 0, 4, 2, 3, 3, 4, 4, 4, 0, 4, 4, 2, 0, 4, 2, 4, 1, 1, 3, 4, 4, 4, 2, 3, 0, 2, 4, 3, 0, 2, 2, 0, 2, 2, 2, 2, 1, 4, 2, 2, 4, 0, 2, 0, 2, 1, 3, 3, 4, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 4, 3, 2, 1, 2, 2, 2, 0, 0, 1, 2, 4, 0, 1, 1, 2, 1, 0, 1, 0, 0, 3, 1, 4, 4, 0] pubkeycol823 = [2, 1, 3, 3, 3, 0, 4, 1, 2, 2, 2, 2, 1, 4, 0, 1, 4, 0, 4, 4, 3, 0, 1, 0, 3, 4, 3, 4, 4, 1, 3, 2, 0, 3, 4, 1, 3, 1, 4, 0, 2, 3, 4, 0, 4, 1, 1, 2, 3, 4, 2, 3, 0, 0, 4, 2, 1, 1, 4, 0, 0, 4, 2, 3, 1, 2, 1, 4, 1, 2, 1, 1, 4, 0, 2, 4, 4, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 2, 3, 0, 0, 2, 0, 1, 0, 4, 1, 1, 3, 1, 3, 4, 1, 2, 4, 1, 3, 3, 4, 4, 3, 1, 4, 2, 1, 0, 2, 0, 3, 0, 2, 3, 1, 4, 0, 1, 2, 1, 3, 1, 3, 3, 0, 0, 0, 1, 0, 4, 3, 4, 4, 4, 3, 2, 4, 3, 4, 1, 1, 0, 0, 0, 2, 4, 2, 0, 2, 3, 4, 3, 0, 4, 3, 2, 4, 4, 4, 1, 4, 2, 3, 0, 0, 3, 4, 4, 2, 3, 3, 4, 2, 0, 3, 4, 1, 3, 4, 0, 2, 2, 0, 3, 3, 4, 3, 2, 0, 3, 1, 0, 2, 1, 3, 1, 2, 2, 0, 1, 2, 4, 3, 1, 2, 0, 4, 2, 3, 3, 1, 0, 0, 0, 0, 0, 3, 4, 2, 1, 1, 4, 4, 3, 3, 3, 0, 4, 1, 4, 4, 2, 1, 4, 2, 1, 2, 3, 3, 4, 4, 0, 4, 0, 1, 0, 0, 4, 0, 3, 3, 1, 2, 1, 4, 3, 1, 0, 3, 4, 0, 2, 2, 4, 0, 4, 1, 0, 0, 4, 0, 3, 2, 2, 4, 0, 4, 0, 3, 2, 1, 1, 1, 3, 4, 2, 4, 2, 0, 2, 0, 3, 3, 0, 4, 1, 2, 2, 2, 0, 2, 2, 0, 3, 2, 4, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 3, 0, 4, 0, 1, 2, 1, 1, 4, 1, 3, 2, 1, 2, 4, 1, 2, 1, 4, 2, 3, 0, 1, 3, 4, 3, 4, 2, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 1, 3, 3, 0, 2, 1, 4, 4, 1, 0, 3, 0, 4, 3, 3, 1, 3, 1, 3, 2, 1, 1, 2, 1, 3, 4, 4, 1, 3, 4, 0, 2, 0, 2, 4] pubkeycol824 = [2, 3, 0, 4, 2, 2, 2, 2, 1, 2, 2, 4, 2, 3, 2, 0, 3, 3, 1, 1, 3, 2, 3, 4, 1, 4, 3, 3, 2, 3, 4, 4, 1, 3, 4, 0, 2, 2, 4, 1, 4, 4, 0, 3, 1, 4, 3, 4, 3, 1, 2, 2, 0, 2, 4, 3, 4, 4, 1, 3, 4, 2, 4, 4, 2, 0, 2, 0, 3, 4, 1, 4, 2, 1, 1, 2, 2, 4, 2, 0, 1, 4, 4, 3, 3, 3, 3, 3, 3, 1, 3, 2, 0, 3, 1, 3, 2, 0, 3, 0, 3, 2, 3, 3, 2, 3, 0, 1, 2, 4, 1, 4, 3, 1, 4, 0, 4, 0, 3, 2, 1, 3, 2, 4, 2, 2, 2, 3, 2, 3, 2, 2, 3, 0, 4, 4, 2, 3, 2, 2, 4, 4, 1, 2, 2, 0, 2, 3, 0, 2, 0, 1, 0, 3, 4, 0, 2, 4, 4, 3, 0, 2, 1, 0, 1, 3, 0, 2, 1, 3, 2, 2, 2, 2, 2, 4, 3, 4, 1, 4, 0, 4, 0, 2, 3, 2, 0, 1, 2, 2, 1, 4, 4, 2, 3, 3, 3, 1, 2, 3, 0, 2, 0, 0, 3, 1, 2, 3, 3, 0, 2, 2, 4, 1, 1, 0, 3, 3, 0, 4, 2, 1, 2, 2, 2, 4, 3, 1, 4, 0, 2, 0, 3, 0, 2, 1, 4, 1, 0, 4, 2, 2, 1, 2, 3, 4, 0, 3, 1, 2, 0, 2, 2, 2, 4, 1, 3, 1, 4, 3, 1, 1, 4, 2, 1, 2, 1, 1, 1, 4, 0, 3, 0, 0, 0, 1, 0, 0, 4, 3, 3, 1, 3, 4, 0, 1, 0, 3, 2, 1, 0, 4, 0, 0, 0, 4, 4, 4, 1, 1, 4, 0, 1, 2, 2, 4, 1, 4, 2, 1, 3, 2, 3, 2, 0, 0, 3, 1, 2, 0, 0, 2, 0, 3, 1, 0, 1, 3, 1, 2, 2, 4, 2, 3, 0, 2, 0, 1, 1, 4, 4, 0, 3, 1, 4, 1, 0, 4, 2, 0, 0, 4, 1, 3, 1, 2, 3, 4, 1, 0, 1, 2, 4, 1, 2, 2, 2, 0, 3, 4, 4, 1, 2, 3, 1, 2, 2, 1, 2, 2, 4, 0, 1, 4, 2, 1, 4, 2, 2, 4, 2, 4, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol825 = [1, 4, 1, 4, 0, 3, 4, 3, 4, 1, 3, 0, 1, 1, 2, 4, 3, 4, 2, 3, 4, 4, 3, 1, 1, 2, 4, 1, 0, 2, 1, 4, 4, 2, 0, 4, 0, 0, 3, 0, 1, 1, 2, 1, 0, 0, 3, 2, 1, 0, 1, 0, 0, 4, 4, 4, 1, 2, 1, 4, 3, 3, 2, 0, 3, 3, 2, 2, 1, 4, 3, 4, 4, 4, 4, 2, 1, 0, 1, 1, 1, 3, 4, 1, 0, 3, 4, 4, 0, 1, 4, 3, 3, 3, 1, 1, 0, 2, 1, 3, 3, 0, 1, 1, 4, 3, 4, 0, 4, 4, 3, 1, 4, 3, 2, 3, 1, 0, 3, 3, 4, 3, 1, 0, 3, 3, 4, 0, 0, 0, 1, 0, 1, 4, 4, 3, 3, 3, 2, 3, 0, 2, 4, 2, 4, 3, 1, 4, 2, 2, 2, 3, 1, 2, 1, 2, 4, 2, 4, 1, 3, 1, 0, 4, 1, 0, 4, 2, 2, 2, 0, 0, 3, 4, 0, 1, 3, 0, 4, 4, 4, 1, 3, 1, 1, 3, 3, 0, 4, 3, 1, 1, 0, 0, 2, 0, 1, 3, 0, 1, 2, 0, 2, 3, 3, 4, 4, 1, 1, 4, 0, 4, 3, 4, 1, 4, 2, 1, 2, 2, 2, 0, 1, 2, 3, 4, 0, 3, 0, 2, 0, 4, 4, 0, 1, 1, 2, 3, 1, 0, 2, 3, 2, 3, 3, 3, 2, 4, 4, 2, 2, 4, 3, 3, 3, 4, 0, 3, 2, 3, 1, 2, 1, 3, 1, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 3, 1, 2, 1, 3, 4, 2, 3, 3, 4, 3, 4, 4, 1, 2, 1, 3, 1, 3, 1, 3, 1, 4, 0, 0, 4, 0, 0, 4, 3, 0, 3, 4, 0, 1, 4, 2, 1, 2, 2, 4, 2, 4, 0, 2, 2, 2, 2, 0, 1, 0, 4, 4, 1, 1, 1, 1, 2, 0, 2, 2, 3, 1, 3, 1, 0, 3, 2, 0, 1, 0, 0, 2, 2, 1, 3, 2, 0, 0, 2, 4, 3, 0, 0, 1, 2, 2, 2, 3, 1, 4, 4, 2, 3, 2, 4, 3, 4, 1, 3, 1, 0, 2, 0, 0, 2, 3, 3, 0, 4, 1, 1, 1, 4, 1, 2, 3, 1, 3, 4, 0, 3, 4, 2, 2] pubkeycol826 = [3, 4, 1, 3, 4, 3, 2, 2, 1, 2, 2, 3, 0, 3, 1, 2, 1, 2, 2, 2, 1, 3, 3, 3, 2, 4, 2, 3, 3, 0, 0, 0, 3, 2, 3, 1, 1, 0, 4, 2, 1, 1, 4, 2, 3, 2, 0, 0, 1, 1, 4, 3, 1, 0, 4, 2, 1, 0, 0, 4, 2, 0, 2, 1, 3, 3, 2, 4, 4, 1, 2, 0, 3, 2, 3, 2, 3, 1, 4, 3, 0, 3, 4, 2, 1, 4, 1, 0, 2, 3, 2, 3, 2, 3, 3, 4, 2, 2, 3, 4, 3, 2, 3, 4, 2, 4, 3, 1, 0, 2, 3, 0, 2, 2, 3, 4, 4, 3, 2, 4, 3, 0, 3, 0, 4, 4, 0, 2, 3, 3, 2, 2, 2, 1, 2, 1, 2, 4, 4, 1, 1, 4, 4, 1, 3, 4, 0, 1, 4, 0, 0, 4, 1, 4, 3, 1, 0, 1, 4, 1, 3, 1, 3, 0, 3, 2, 4, 4, 0, 0, 0, 0, 2, 4, 0, 3, 4, 3, 2, 0, 3, 2, 4, 4, 1, 2, 0, 0, 0, 0, 3, 4, 0, 2, 3, 3, 1, 2, 0, 3, 3, 0, 2, 4, 4, 4, 3, 2, 0, 4, 2, 0, 4, 4, 1, 1, 3, 2, 1, 0, 3, 1, 0, 3, 2, 0, 4, 2, 1, 1, 1, 1, 2, 3, 0, 4, 4, 3, 4, 2, 0, 0, 1, 3, 1, 4, 2, 4, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 3, 2, 2, 4, 1, 0, 0, 2, 4, 2, 1, 1, 0, 4, 0, 4, 2, 3, 2, 1, 1, 1, 1, 0, 2, 0, 3, 1, 4, 4, 1, 4, 3, 0, 0, 4, 1, 2, 3, 3, 2, 4, 0, 4, 1, 0, 1, 4, 2, 0, 2, 2, 3, 3, 0, 4, 1, 1, 3, 0, 2, 1, 1, 4, 0, 2, 3, 3, 3, 0, 2, 0, 2, 2, 3, 2, 4, 0, 0, 2, 4, 2, 2, 0, 1, 1, 3, 2, 0, 0, 1, 3, 4, 3, 0, 3, 2, 3, 2, 0, 4, 4, 3, 1, 4, 0, 4, 0, 0, 3, 0, 0, 1, 0, 4, 3, 2, 2, 0, 0, 3, 1, 0, 2, 2, 4, 4, 4, 2, 1, 2, 4, 0, 3, 3, 0, 0, 1] pubkeycol827 = [2, 0, 4, 2, 2, 0, 1, 4, 1, 3, 0, 2, 3, 3, 0, 3, 4, 2, 3, 3, 1, 2, 2, 1, 0, 2, 3, 0, 3, 1, 1, 0, 1, 3, 1, 2, 2, 0, 2, 1, 2, 4, 2, 4, 4, 4, 0, 3, 1, 4, 0, 4, 2, 1, 3, 3, 2, 1, 1, 1, 4, 0, 0, 0, 3, 4, 0, 4, 1, 4, 2, 0, 0, 4, 3, 4, 2, 0, 2, 3, 0, 0, 2, 2, 2, 0, 3, 3, 4, 4, 4, 0, 3, 4, 2, 4, 3, 2, 1, 1, 2, 4, 1, 4, 0, 3, 2, 0, 0, 2, 3, 1, 3, 4, 0, 0, 3, 0, 2, 4, 4, 4, 3, 4, 1, 1, 3, 1, 4, 0, 0, 1, 3, 1, 2, 1, 1, 4, 1, 3, 1, 4, 3, 1, 3, 3, 4, 2, 1, 3, 4, 2, 4, 0, 2, 3, 2, 0, 3, 2, 3, 3, 1, 4, 4, 3, 1, 1, 2, 2, 4, 3, 3, 1, 2, 2, 2, 1, 4, 1, 2, 4, 2, 2, 3, 1, 4, 3, 4, 3, 2, 2, 0, 4, 3, 3, 2, 2, 0, 0, 3, 1, 4, 4, 3, 2, 4, 4, 1, 2, 2, 0, 0, 2, 4, 1, 2, 4, 1, 1, 0, 0, 4, 4, 2, 1, 0, 1, 1, 4, 3, 3, 1, 0, 0, 2, 0, 0, 4, 4, 3, 3, 4, 2, 2, 3, 1, 2, 0, 1, 0, 2, 1, 1, 3, 3, 0, 0, 2, 0, 1, 4, 2, 2, 1, 0, 2, 0, 3, 0, 3, 1, 0, 1, 1, 2, 0, 0, 4, 4, 1, 1, 1, 3, 1, 0, 4, 3, 0, 2, 0, 2, 4, 1, 1, 3, 4, 1, 4, 0, 2, 1, 2, 2, 2, 2, 4, 4, 1, 0, 1, 2, 4, 4, 2, 3, 0, 3, 3, 0, 2, 1, 4, 4, 1, 4, 1, 0, 4, 2, 1, 2, 1, 2, 0, 3, 1, 4, 0, 0, 2, 0, 2, 3, 0, 2, 3, 1, 4, 4, 3, 2, 0, 4, 4, 3, 3, 2, 0, 4, 4, 1, 4, 2, 0, 4, 3, 2, 0, 1, 4, 1, 4, 2, 2, 1, 3, 0, 1, 0, 2, 4, 2, 3, 0, 0, 2, 4, 3, 3, 0, 4, 1, 4, 1, 4, 2, 0, 3, 4] pubkeycol828 = [4, 1, 0, 0, 1, 0, 2, 2, 3, 2, 1, 1, 1, 2, 1, 2, 3, 3, 0, 3, 3, 1, 3, 2, 4, 1, 0, 4, 2, 2, 4, 4, 4, 1, 3, 1, 0, 1, 2, 4, 4, 4, 2, 3, 1, 3, 4, 4, 4, 3, 0, 3, 4, 1, 4, 3, 1, 1, 3, 2, 4, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 4, 0, 2, 0, 3, 2, 1, 0, 4, 1, 3, 2, 0, 3, 4, 0, 4, 0, 4, 3, 2, 0, 2, 4, 4, 4, 3, 3, 0, 3, 2, 2, 4, 2, 3, 0, 0, 4, 0, 0, 4, 4, 2, 3, 1, 2, 1, 3, 3, 1, 0, 3, 4, 2, 0, 4, 1, 0, 0, 4, 1, 1, 0, 0, 2, 3, 3, 0, 3, 4, 3, 1, 2, 0, 1, 3, 2, 4, 3, 2, 2, 0, 1, 1, 2, 1, 3, 3, 2, 2, 4, 1, 2, 1, 1, 4, 3, 3, 1, 1, 3, 0, 4, 0, 0, 0, 4, 4, 3, 0, 4, 3, 0, 2, 3, 1, 1, 1, 0, 4, 3, 3, 0, 1, 3, 3, 1, 1, 0, 2, 1, 3, 3, 2, 4, 3, 1, 0, 4, 2, 1, 3, 2, 2, 2, 2, 0, 1, 3, 0, 1, 1, 1, 1, 3, 0, 0, 1, 4, 0, 2, 3, 1, 1, 0, 4, 2, 3, 3, 2, 4, 3, 2, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 3, 1, 0, 1, 4, 3, 3, 3, 1, 0, 3, 1, 0, 0, 3, 4, 4, 1, 3, 3, 2, 3, 2, 1, 0, 0, 1, 2, 2, 3, 2, 2, 2, 0, 0, 2, 4, 1, 4, 0, 0, 3, 2, 0, 1, 2, 3, 1, 2, 1, 3, 2, 0, 0, 0, 4, 4, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 4, 3, 2, 3, 0, 3, 0, 0, 3, 4, 0, 1, 0, 2, 0, 4, 1, 0, 4, 3, 4, 3, 4, 4, 3, 2, 0, 2, 0, 2, 3, 1, 3, 2, 1, 3, 1, 0, 0, 1, 2, 1, 0, 0, 3, 1, 1, 4, 3, 1, 3, 0, 2, 3, 1, 0, 1, 3, 0, 3, 4, 4, 3, 4, 4, 1, 1, 4, 3, 2, 4, 3, 4, 1, 2, 3, 3, 4] pubkeycol829 = [4, 0, 4, 1, 2, 0, 2, 1, 2, 2, 0, 3, 0, 0, 3, 0, 0, 3, 2, 0, 0, 1, 1, 1, 2, 1, 4, 0, 4, 2, 3, 2, 3, 3, 4, 0, 4, 1, 1, 0, 2, 0, 2, 4, 0, 3, 3, 3, 3, 4, 2, 2, 1, 0, 1, 3, 0, 4, 1, 4, 4, 3, 0, 4, 1, 0, 1, 4, 4, 0, 0, 2, 0, 0, 2, 4, 3, 4, 0, 4, 1, 4, 4, 0, 4, 0, 2, 2, 4, 0, 4, 1, 2, 2, 0, 3, 2, 0, 0, 2, 3, 4, 0, 1, 1, 0, 4, 4, 2, 2, 4, 1, 0, 1, 4, 3, 1, 0, 1, 3, 0, 1, 3, 1, 2, 1, 1, 3, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 4, 3, 1, 1, 0, 2, 2, 3, 0, 2, 1, 3, 3, 2, 0, 1, 2, 1, 4, 3, 0, 4, 0, 3, 3, 2, 2, 0, 2, 3, 0, 1, 4, 1, 0, 2, 0, 4, 3, 3, 1, 3, 4, 3, 3, 0, 4, 4, 3, 0, 2, 2, 4, 2, 1, 1, 4, 3, 2, 2, 1, 1, 3, 4, 4, 0, 4, 4, 4, 2, 4, 3, 4, 0, 3, 4, 0, 2, 0, 4, 3, 1, 1, 1, 0, 0, 0, 2, 0, 3, 0, 1, 2, 2, 4, 1, 4, 0, 3, 0, 1, 4, 1, 4, 3, 1, 2, 3, 0, 2, 1, 2, 2, 4, 3, 4, 3, 2, 4, 1, 4, 0, 1, 2, 3, 2, 0, 2, 0, 1, 3, 1, 1, 4, 4, 2, 3, 2, 4, 2, 1, 4, 2, 3, 4, 0, 4, 3, 4, 3, 3, 2, 0, 4, 2, 4, 1, 3, 4, 2, 3, 1, 1, 0, 0, 2, 2, 2, 3, 3, 2, 4, 1, 1, 0, 1, 0, 3, 3, 1, 3, 3, 4, 2, 4, 1, 0, 3, 4, 4, 3, 2, 3, 2, 2, 4, 0, 0, 4, 2, 2, 2, 2, 1, 4, 3, 0, 4, 2, 2, 3, 4, 3, 1, 4, 2, 4, 1, 4, 4, 4, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 3, 4, 4, 0, 1, 2, 4, 4, 0, 1, 0, 3, 1, 1, 3, 0, 1, 0, 4, 2, 3, 0, 4, 2, 4, 1, 4] pubkeycol830 = [0, 4, 1, 0, 0, 1, 4, 0, 3, 4, 4, 1, 4, 0, 0, 4, 1, 1, 3, 2, 1, 2, 3, 3, 4, 2, 4, 0, 2, 0, 3, 1, 4, 1, 4, 0, 3, 0, 3, 0, 2, 0, 3, 3, 0, 1, 1, 1, 3, 1, 2, 1, 3, 2, 3, 0, 2, 0, 0, 1, 3, 3, 2, 1, 0, 1, 0, 2, 2, 3, 1, 1, 2, 4, 3, 2, 4, 1, 0, 0, 4, 0, 4, 3, 1, 4, 1, 2, 4, 3, 3, 2, 1, 1, 0, 1, 2, 1, 2, 4, 0, 2, 4, 0, 3, 2, 2, 0, 0, 1, 2, 0, 4, 3, 4, 3, 2, 0, 1, 4, 3, 2, 1, 0, 3, 1, 2, 4, 2, 3, 4, 3, 4, 0, 1, 0, 3, 2, 3, 0, 4, 2, 3, 2, 1, 0, 4, 1, 1, 3, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 1, 0, 2, 0, 4, 0, 2, 0, 1, 2, 2, 0, 0, 3, 4, 2, 3, 4, 3, 1, 1, 2, 3, 3, 4, 2, 3, 0, 4, 1, 3, 1, 3, 2, 3, 4, 3, 3, 3, 2, 1, 3, 0, 3, 2, 0, 1, 3, 0, 3, 1, 2, 1, 4, 2, 4, 3, 4, 0, 3, 1, 1, 4, 1, 4, 3, 3, 4, 0, 2, 4, 4, 4, 3, 2, 1, 0, 0, 4, 4, 0, 0, 0, 3, 0, 2, 2, 4, 0, 1, 1, 3, 1, 1, 1, 0, 0, 1, 3, 4, 2, 0, 0, 1, 3, 3, 3, 2, 3, 2, 0, 3, 2, 3, 2, 1, 0, 1, 4, 1, 4, 1, 2, 0, 4, 1, 2, 0, 4, 3, 0, 4, 2, 0, 3, 4, 1, 2, 1, 3, 3, 0, 3, 2, 0, 3, 0, 2, 0, 2, 4, 3, 3, 2, 4, 4, 3, 0, 0, 3, 3, 4, 4, 2, 1, 2, 2, 0, 3, 1, 4, 1, 3, 1, 3, 1, 2, 1, 0, 0, 2, 1, 3, 2, 0, 0, 2, 2, 1, 4, 0, 4, 3, 0, 3, 4, 4, 2, 1, 1, 4, 4, 4, 1, 1, 4, 1, 2, 0, 4, 1, 0, 2, 1, 2, 2, 4, 0, 1, 2, 3, 3, 4, 2, 4, 0, 0, 2, 3, 2, 2, 0, 4, 4, 2, 2, 2, 1, 3, 4] pubkeycol831 = [3, 3, 4, 0, 3, 2, 2, 0, 0, 2, 3, 0, 1, 1, 1, 4, 4, 2, 4, 0, 2, 4, 0, 3, 0, 1, 4, 4, 1, 3, 1, 3, 4, 3, 4, 3, 0, 2, 1, 3, 3, 2, 0, 1, 2, 4, 2, 4, 1, 1, 2, 1, 3, 3, 1, 0, 0, 4, 1, 0, 1, 2, 1, 4, 3, 4, 4, 1, 4, 2, 0, 3, 0, 3, 0, 4, 3, 3, 3, 2, 1, 1, 3, 4, 2, 3, 4, 1, 4, 0, 2, 1, 4, 0, 0, 0, 3, 2, 1, 4, 0, 0, 0, 3, 1, 3, 2, 0, 0, 0, 1, 1, 0, 3, 1, 4, 2, 2, 1, 0, 1, 2, 4, 0, 4, 3, 4, 0, 3, 3, 1, 2, 4, 1, 1, 0, 0, 1, 3, 1, 4, 4, 0, 0, 3, 1, 1, 1, 0, 3, 2, 3, 4, 2, 4, 1, 1, 2, 3, 4, 1, 2, 3, 0, 0, 0, 3, 3, 1, 3, 2, 4, 2, 3, 0, 2, 4, 4, 2, 1, 3, 1, 4, 4, 0, 0, 0, 1, 4, 3, 1, 4, 2, 2, 3, 2, 1, 1, 0, 1, 4, 2, 2, 1, 4, 3, 1, 1, 1, 1, 4, 0, 3, 4, 4, 2, 4, 4, 0, 4, 0, 4, 3, 0, 3, 1, 2, 0, 1, 3, 2, 1, 0, 3, 1, 0, 0, 0, 4, 0, 1, 3, 3, 3, 4, 1, 3, 0, 3, 0, 2, 2, 3, 3, 1, 4, 0, 0, 1, 0, 0, 1, 3, 4, 1, 1, 3, 4, 2, 0, 1, 3, 2, 1, 2, 1, 2, 1, 2, 3, 3, 0, 2, 3, 1, 2, 0, 4, 2, 4, 1, 1, 3, 2, 1, 3, 1, 2, 3, 0, 4, 4, 2, 3, 0, 3, 4, 0, 3, 4, 1, 2, 3, 2, 0, 4, 2, 0, 4, 0, 1, 1, 2, 2, 3, 0, 4, 0, 1, 4, 1, 1, 1, 3, 2, 3, 4, 2, 4, 2, 2, 4, 1, 4, 2, 4, 0, 0, 3, 1, 2, 2, 4, 4, 4, 2, 2, 2, 2, 0, 4, 4, 1, 3, 1, 0, 4, 2, 4, 3, 3, 3, 0, 3, 3, 0, 0, 3, 2, 4, 1, 3, 1, 1, 0, 2, 4, 2, 1, 1, 4, 2, 0, 2, 3, 4, 4, 2, 3, 0] pubkeycol832 = [3, 2, 3, 3, 0, 0, 1, 4, 3, 4, 1, 2, 4, 0, 0, 2, 1, 2, 3, 3, 3, 1, 3, 1, 1, 0, 0, 4, 4, 4, 3, 3, 1, 1, 4, 4, 1, 3, 3, 2, 3, 4, 1, 3, 3, 0, 4, 2, 4, 2, 4, 3, 2, 3, 4, 0, 4, 2, 0, 1, 0, 1, 4, 0, 2, 1, 4, 1, 0, 3, 0, 0, 3, 0, 4, 0, 0, 2, 1, 4, 1, 0, 0, 3, 4, 4, 2, 4, 4, 2, 0, 1, 0, 2, 2, 4, 3, 3, 0, 0, 1, 0, 4, 3, 3, 0, 3, 2, 2, 1, 4, 0, 4, 2, 3, 0, 4, 1, 0, 1, 3, 1, 2, 1, 1, 3, 1, 2, 3, 1, 0, 3, 2, 3, 3, 3, 1, 0, 2, 1, 3, 1, 1, 3, 1, 0, 0, 0, 2, 3, 0, 1, 3, 0, 4, 4, 2, 1, 4, 3, 1, 4, 3, 3, 0, 2, 1, 3, 1, 4, 0, 4, 4, 3, 1, 2, 3, 4, 0, 0, 3, 1, 1, 0, 4, 2, 0, 3, 3, 0, 2, 0, 2, 3, 0, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 2, 4, 2, 4, 1, 4, 1, 1, 0, 0, 4, 1, 4, 2, 4, 4, 0, 3, 4, 4, 2, 1, 2, 3, 1, 1, 0, 2, 0, 0, 3, 0, 4, 4, 1, 0, 1, 0, 4, 2, 3, 3, 4, 1, 4, 4, 0, 0, 0, 0, 4, 3, 2, 3, 0, 2, 1, 1, 2, 3, 1, 4, 3, 1, 2, 2, 4, 2, 4, 3, 0, 0, 4, 1, 1, 0, 1, 1, 4, 3, 4, 0, 0, 0, 4, 0, 3, 2, 1, 0, 1, 4, 0, 2, 1, 2, 1, 0, 3, 2, 1, 4, 1, 0, 2, 4, 0, 1, 2, 2, 2, 2, 1, 4, 3, 2, 0, 0, 2, 0, 0, 4, 3, 0, 4, 0, 3, 4, 4, 2, 4, 2, 0, 3, 2, 1, 3, 0, 2, 1, 2, 2, 0, 4, 4, 1, 2, 1, 2, 0, 1, 2, 0, 2, 3, 1, 1, 2, 4, 3, 4, 1, 4, 2, 0, 4, 1, 2, 4, 0, 3, 0, 1, 1, 3, 0, 3, 3, 4, 2, 3, 1, 0, 3, 3, 4, 4, 0, 0, 2, 3, 4, 1, 2, 1] pubkeycol833 = [4, 0, 3, 3, 0, 1, 3, 3, 0, 2, 4, 4, 1, 1, 1, 1, 4, 4, 2, 2, 0, 4, 1, 0, 3, 2, 1, 4, 0, 1, 0, 3, 3, 0, 4, 3, 2, 4, 2, 4, 2, 1, 4, 0, 0, 0, 4, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 4, 0, 3, 3, 4, 2, 2, 0, 1, 2, 3, 0, 4, 0, 0, 1, 2, 2, 0, 3, 2, 0, 0, 1, 3, 1, 2, 1, 4, 2, 0, 2, 4, 3, 4, 4, 3, 1, 3, 4, 1, 1, 3, 0, 3, 4, 0, 1, 2, 0, 3, 1, 3, 1, 3, 4, 2, 3, 3, 3, 4, 1, 4, 2, 0, 2, 1, 2, 0, 1, 3, 0, 1, 3, 4, 2, 4, 1, 0, 4, 2, 0, 4, 2, 2, 4, 2, 3, 1, 1, 1, 4, 0, 2, 3, 3, 1, 0, 4, 1, 2, 4, 2, 4, 1, 1, 0, 3, 2, 0, 4, 1, 2, 3, 2, 2, 0, 3, 2, 3, 4, 3, 0, 4, 4, 2, 2, 3, 1, 0, 4, 3, 0, 4, 4, 0, 4, 3, 1, 2, 1, 3, 3, 4, 4, 0, 2, 3, 1, 4, 0, 0, 4, 1, 1, 4, 3, 4, 0, 0, 4, 0, 1, 4, 0, 1, 0, 1, 2, 2, 0, 3, 0, 3, 1, 0, 4, 4, 0, 3, 4, 2, 1, 3, 4, 2, 1, 3, 4, 0, 1, 2, 3, 2, 2, 3, 4, 3, 3, 3, 1, 4, 2, 1, 1, 2, 4, 1, 0, 3, 4, 0, 3, 3, 4, 3, 2, 4, 0, 2, 0, 1, 2, 3, 4, 1, 4, 1, 0, 4, 2, 2, 2, 4, 4, 2, 4, 0, 3, 0, 3, 4, 4, 1, 1, 1, 3, 4, 2, 2, 2, 2, 4, 4, 4, 2, 4, 2, 0, 1, 4, 1, 4, 3, 1, 2, 1, 4, 4, 0, 2, 1, 2, 2, 3, 3, 4, 0, 3, 0, 2, 2, 0, 3, 4, 2, 0, 0, 2, 2, 4, 4, 1, 3, 4, 2, 2, 1, 2, 1, 4, 1, 4, 3, 1, 3, 0, 2, 2, 2, 4, 3, 2, 3, 1, 4, 1, 0, 3, 4, 0, 1, 0, 0, 1, 4, 2, 0, 4, 1, 0, 0, 1, 3, 3, 0, 0, 2, 2, 0, 3, 0, 0] pubkeycol834 = [1, 2, 1, 2, 0, 2, 4, 1, 1, 1, 2, 3, 1, 1, 0, 0, 2, 0, 1, 0, 4, 4, 2, 1, 4, 2, 1, 1, 4, 3, 3, 2, 0, 4, 3, 0, 2, 2, 3, 2, 2, 4, 0, 4, 2, 0, 1, 0, 1, 2, 4, 4, 1, 0, 3, 0, 3, 0, 1, 3, 2, 4, 0, 2, 4, 0, 0, 0, 4, 3, 2, 3, 2, 3, 1, 4, 2, 1, 1, 4, 1, 0, 4, 2, 1, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 4, 1, 0, 4, 1, 2, 4, 1, 2, 4, 2, 2, 2, 1, 4, 3, 3, 0, 4, 0, 2, 3, 2, 3, 3, 1, 4, 4, 0, 4, 0, 3, 2, 2, 0, 0, 1, 4, 2, 2, 3, 4, 1, 4, 2, 2, 1, 1, 1, 0, 3, 1, 0, 4, 1, 2, 1, 3, 0, 0, 4, 4, 4, 0, 2, 2, 4, 2, 1, 1, 0, 2, 2, 3, 4, 3, 2, 2, 4, 1, 3, 2, 4, 4, 0, 1, 1, 2, 4, 2, 1, 1, 1, 4, 2, 1, 1, 1, 3, 4, 2, 0, 2, 2, 0, 2, 2, 2, 4, 0, 3, 2, 2, 4, 4, 2, 2, 2, 3, 4, 3, 0, 3, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 4, 1, 0, 3, 4, 1, 2, 2, 3, 1, 3, 4, 0, 3, 1, 0, 4, 2, 3, 0, 4, 3, 2, 0, 4, 1, 4, 0, 1, 3, 1, 1, 1, 4, 0, 0, 2, 1, 3, 3, 0, 2, 1, 4, 3, 3, 3, 4, 1, 2, 4, 4, 2, 2, 3, 2, 4, 1, 1, 3, 0, 0, 4, 3, 1, 0, 3, 4, 4, 2, 2, 4, 1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 4, 1, 4, 4, 2, 4, 4, 1, 2, 4, 0, 4, 2, 4, 2, 1, 4, 2, 2, 1, 3, 3, 3, 4, 2, 0, 3, 3, 1, 1, 4, 1, 3, 1, 4, 3, 2, 2, 1, 4, 4, 4, 1, 3, 0, 2, 4, 4, 3, 1, 0, 4, 4, 3, 2, 1, 1, 3, 2, 4, 3, 2, 3, 0, 2, 3, 1, 4, 0, 3, 2, 3, 0, 4, 0, 3, 2, 1, 3, 1, 0, 2, 3, 0, 0, 4, 3, 0] pubkeycol835 = [3, 1, 4, 4, 1, 4, 1, 3, 2, 1, 4, 2, 3, 1, 3, 0, 4, 3, 3, 1, 4, 3, 0, 4, 4, 1, 1, 2, 2, 4, 4, 1, 3, 0, 4, 0, 2, 0, 2, 0, 0, 3, 4, 0, 3, 3, 1, 0, 3, 1, 1, 3, 3, 1, 2, 0, 1, 4, 1, 4, 2, 1, 3, 3, 0, 0, 3, 0, 3, 2, 4, 4, 0, 0, 0, 1, 0, 4, 1, 1, 0, 4, 2, 4, 2, 0, 0, 4, 4, 1, 4, 4, 3, 1, 1, 2, 1, 3, 2, 3, 1, 0, 4, 4, 4, 4, 4, 0, 2, 3, 0, 0, 1, 0, 1, 4, 1, 4, 3, 0, 4, 3, 4, 0, 4, 3, 0, 0, 1, 4, 3, 2, 2, 3, 3, 2, 3, 2, 1, 1, 3, 3, 1, 4, 1, 2, 4, 2, 0, 3, 4, 1, 2, 1, 4, 0, 0, 4, 3, 1, 1, 3, 2, 2, 2, 0, 2, 4, 1, 4, 3, 3, 1, 3, 0, 3, 3, 1, 0, 4, 0, 4, 4, 0, 2, 4, 4, 0, 4, 2, 0, 0, 4, 3, 1, 3, 3, 1, 1, 2, 2, 1, 1, 2, 3, 3, 3, 0, 4, 2, 1, 2, 2, 3, 1, 2, 1, 4, 3, 0, 3, 1, 2, 2, 2, 1, 1, 2, 0, 4, 1, 1, 1, 4, 0, 0, 2, 2, 0, 4, 1, 3, 3, 2, 3, 4, 3, 1, 1, 2, 0, 2, 1, 0, 2, 3, 4, 3, 3, 1, 0, 3, 2, 1, 3, 3, 1, 1, 0, 2, 2, 4, 2, 4, 0, 0, 3, 0, 0, 2, 4, 2, 1, 4, 0, 1, 1, 4, 1, 3, 3, 4, 1, 3, 2, 0, 1, 1, 0, 0, 2, 0, 1, 3, 2, 4, 0, 2, 1, 4, 1, 0, 1, 2, 3, 1, 0, 1, 1, 2, 1, 3, 2, 4, 2, 0, 1, 3, 0, 1, 1, 0, 2, 3, 0, 0, 4, 4, 1, 0, 1, 3, 1, 4, 4, 4, 1, 2, 1, 2, 0, 0, 4, 1, 2, 4, 4, 3, 0, 2, 3, 2, 0, 3, 0, 0, 2, 1, 4, 0, 4, 0, 0, 4, 1, 1, 1, 0, 4, 1, 1, 0, 3, 1, 3, 2, 1, 4, 4, 4, 2, 0, 2, 3, 1, 3, 3, 4, 2, 0] pubkeycol836 = [3, 1, 1, 0, 3, 4, 1, 0, 4, 2, 0, 1, 3, 1, 3, 2, 1, 1, 2, 4, 0, 0, 2, 0, 4, 4, 2, 0, 0, 0, 2, 4, 2, 0, 0, 3, 0, 1, 0, 1, 2, 1, 3, 0, 1, 0, 0, 1, 3, 0, 1, 2, 2, 2, 1, 3, 3, 2, 3, 3, 0, 4, 3, 3, 1, 0, 4, 0, 0, 1, 3, 2, 1, 3, 2, 3, 0, 1, 0, 2, 4, 2, 4, 0, 4, 1, 1, 3, 2, 1, 4, 4, 4, 1, 1, 4, 0, 1, 2, 1, 4, 2, 4, 1, 0, 3, 1, 0, 4, 3, 0, 3, 0, 2, 1, 4, 3, 1, 1, 4, 2, 1, 3, 4, 2, 2, 1, 3, 1, 3, 2, 1, 2, 4, 0, 4, 3, 1, 4, 2, 0, 3, 3, 2, 2, 0, 2, 0, 1, 0, 0, 3, 2, 2, 4, 1, 3, 4, 2, 2, 4, 0, 2, 0, 0, 1, 0, 2, 4, 4, 3, 4, 4, 4, 1, 1, 3, 3, 1, 3, 0, 4, 1, 1, 2, 4, 3, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 3, 4, 1, 1, 1, 2, 2, 2, 4, 4, 2, 0, 1, 1, 0, 0, 4, 4, 0, 0, 3, 4, 0, 0, 2, 0, 4, 1, 3, 3, 4, 1, 4, 3, 0, 4, 4, 0, 0, 4, 4, 2, 3, 1, 0, 0, 0, 4, 2, 4, 2, 3, 2, 1, 0, 0, 3, 0, 4, 1, 1, 2, 3, 0, 4, 0, 2, 2, 0, 2, 2, 4, 2, 3, 2, 1, 4, 1, 1, 3, 4, 1, 3, 3, 1, 0, 1, 0, 1, 4, 0, 1, 1, 0, 3, 2, 2, 2, 2, 3, 2, 1, 0, 2, 4, 2, 2, 2, 0, 2, 0, 1, 4, 2, 3, 4, 4, 0, 3, 3, 4, 1, 3, 2, 1, 2, 4, 4, 2, 0, 3, 1, 2, 2, 3, 1, 1, 4, 4, 2, 0, 3, 1, 2, 1, 3, 2, 3, 0, 4, 4, 4, 0, 1, 0, 4, 4, 2, 1, 0, 1, 1, 2, 1, 3, 3, 3, 3, 2, 0, 4, 0, 1, 2, 2, 1, 2, 1, 0, 1, 3, 3, 4, 2, 4, 2, 3, 0, 3, 0, 1, 4, 3, 0, 0, 1, 1, 1, 3, 0, 1, 2] pubkeycol837 = [1, 4, 0, 1, 4, 4, 2, 2, 3, 2, 0, 2, 3, 2, 1, 4, 4, 3, 4, 0, 3, 1, 2, 0, 1, 0, 3, 1, 4, 2, 0, 4, 1, 2, 1, 2, 4, 4, 2, 4, 3, 2, 2, 3, 1, 0, 1, 2, 4, 0, 4, 4, 2, 2, 1, 1, 4, 4, 0, 2, 3, 4, 3, 3, 1, 2, 1, 3, 0, 4, 1, 0, 3, 3, 4, 1, 3, 4, 3, 1, 1, 0, 2, 1, 3, 0, 1, 3, 4, 0, 4, 2, 3, 3, 3, 4, 0, 0, 4, 0, 4, 1, 0, 1, 4, 4, 2, 1, 2, 0, 4, 4, 2, 2, 2, 4, 1, 4, 3, 1, 0, 4, 3, 1, 3, 1, 0, 0, 0, 3, 2, 3, 3, 0, 3, 1, 2, 2, 0, 3, 1, 3, 2, 3, 0, 3, 2, 0, 2, 2, 3, 1, 4, 1, 0, 4, 2, 3, 3, 1, 0, 4, 2, 2, 1, 0, 0, 4, 3, 3, 4, 0, 4, 0, 4, 1, 3, 4, 0, 2, 3, 1, 1, 3, 3, 2, 3, 4, 2, 2, 2, 4, 1, 0, 4, 4, 4, 3, 0, 0, 3, 3, 1, 0, 3, 2, 0, 1, 0, 3, 1, 1, 1, 1, 0, 3, 1, 0, 0, 1, 3, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 3, 1, 3, 0, 4, 3, 2, 4, 2, 0, 0, 1, 0, 0, 3, 2, 0, 0, 4, 3, 1, 0, 2, 3, 0, 2, 1, 1, 4, 3, 3, 2, 1, 3, 3, 3, 3, 4, 3, 2, 3, 1, 2, 4, 4, 4, 0, 2, 2, 1, 4, 0, 4, 4, 4, 4, 3, 0, 0, 4, 1, 2, 2, 4, 0, 4, 3, 0, 3, 3, 1, 0, 0, 4, 4, 4, 1, 2, 2, 4, 4, 1, 3, 3, 3, 2, 3, 3, 0, 2, 3, 4, 4, 3, 4, 4, 2, 3, 3, 1, 2, 0, 2, 1, 3, 4, 2, 1, 0, 3, 4, 0, 0, 1, 4, 0, 2, 1, 0, 4, 1, 2, 1, 3, 3, 4, 4, 3, 3, 0, 3, 4, 1, 1, 0, 0, 2, 0, 1, 4, 2, 2, 0, 1, 0, 1, 0, 0, 4, 0, 3, 4, 0, 1, 4, 2, 3, 3, 3, 4, 1, 1, 4, 1, 4, 4] pubkeycol838 = [4, 2, 0, 4, 1, 0, 4, 1, 0, 1, 3, 4, 1, 1, 1, 3, 1, 4, 0, 3, 2, 3, 4, 4, 0, 0, 0, 1, 4, 3, 3, 0, 3, 2, 3, 2, 3, 4, 4, 0, 2, 3, 1, 1, 2, 4, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 1, 2, 4, 2, 4, 1, 3, 1, 2, 1, 2, 1, 1, 1, 3, 3, 0, 1, 1, 0, 2, 2, 2, 1, 3, 4, 2, 4, 4, 4, 1, 0, 1, 4, 2, 0, 1, 0, 1, 0, 3, 1, 1, 4, 2, 0, 1, 4, 3, 1, 4, 2, 3, 3, 2, 4, 4, 1, 1, 1, 0, 4, 4, 4, 2, 1, 3, 0, 0, 0, 4, 0, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 2, 2, 0, 0, 4, 4, 1, 0, 4, 1, 4, 3, 3, 0, 0, 4, 1, 1, 3, 3, 0, 0, 4, 0, 0, 4, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 3, 3, 4, 3, 1, 3, 0, 4, 2, 2, 2, 2, 2, 4, 4, 4, 0, 4, 3, 0, 3, 4, 4, 0, 2, 2, 4, 3, 1, 4, 2, 3, 1, 3, 0, 4, 1, 2, 0, 4, 3, 4, 0, 3, 2, 3, 1, 0, 0, 4, 2, 2, 0, 1, 3, 1, 3, 0, 3, 0, 4, 3, 4, 1, 3, 0, 2, 1, 1, 3, 0, 2, 3, 4, 2, 1, 1, 0, 1, 0, 3, 1, 2, 4, 3, 1, 0, 1, 0, 0, 1, 1, 0, 0, 4, 1, 1, 4, 3, 1, 2, 1, 1, 0, 0, 3, 4, 2, 1, 0, 1, 2, 2, 4, 3, 0, 3, 4, 2, 0, 1, 4, 2, 4, 2, 1, 0, 3, 0, 1, 4, 1, 0, 4, 2, 0, 1, 0, 0, 3, 4, 1, 4, 4, 2, 2, 2, 3, 1, 0, 3, 0, 1, 3, 0, 0, 3, 4, 3, 4, 4, 0, 1, 4, 0, 3, 2, 0, 0, 0, 2, 0, 3, 3, 0, 3, 0, 0, 3, 4, 4, 4, 1, 4, 2, 3, 1, 0, 2, 1, 3, 0, 3, 0, 4, 4, 2, 1, 3, 0, 1, 0, 1, 3, 3, 4, 3, 3, 2, 0, 2, 0, 3, 4, 4, 2, 3, 1, 1, 1, 4] pubkeycol839 = [2, 3, 1, 0, 4, 1, 0, 4, 4, 2, 1, 3, 0, 1, 4, 4, 1, 0, 2, 1, 2, 2, 1, 1, 3, 2, 3, 3, 2, 1, 4, 4, 4, 1, 1, 2, 3, 4, 3, 4, 4, 0, 0, 4, 0, 1, 0, 4, 1, 2, 1, 1, 0, 4, 3, 4, 3, 3, 4, 0, 1, 2, 2, 2, 4, 4, 1, 1, 2, 1, 3, 3, 2, 0, 2, 3, 3, 3, 4, 0, 1, 3, 2, 1, 2, 0, 4, 0, 0, 1, 1, 1, 1, 2, 3, 1, 2, 0, 0, 0, 2, 1, 2, 4, 3, 0, 4, 1, 3, 4, 0, 0, 3, 2, 3, 4, 0, 2, 3, 4, 1, 4, 1, 2, 3, 2, 2, 4, 4, 1, 4, 3, 3, 3, 1, 1, 3, 3, 1, 0, 2, 0, 1, 3, 0, 1, 2, 1, 0, 1, 1, 0, 4, 3, 3, 4, 0, 0, 1, 3, 1, 0, 2, 2, 0, 4, 1, 1, 0, 1, 3, 3, 0, 1, 4, 4, 3, 3, 1, 4, 0, 4, 4, 2, 3, 0, 4, 0, 0, 2, 0, 3, 0, 2, 3, 4, 1, 2, 0, 0, 2, 4, 4, 4, 1, 3, 4, 1, 4, 3, 0, 0, 1, 4, 3, 3, 0, 3, 1, 4, 4, 0, 1, 3, 3, 1, 0, 1, 0, 2, 4, 4, 4, 1, 0, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 4, 3, 1, 0, 1, 1, 1, 1, 1, 1, 4, 2, 4, 1, 1, 0, 2, 0, 0, 1, 4, 3, 3, 4, 2, 3, 1, 1, 3, 1, 4, 3, 2, 2, 3, 0, 3, 0, 0, 2, 1, 0, 3, 1, 2, 1, 4, 3, 0, 1, 0, 0, 3, 4, 2, 1, 1, 1, 1, 3, 2, 0, 1, 4, 3, 3, 0, 3, 1, 3, 3, 0, 0, 0, 2, 4, 3, 3, 1, 1, 2, 4, 1, 3, 3, 1, 3, 4, 0, 3, 2, 1, 1, 0, 4, 2, 3, 2, 3, 2, 1, 0, 3, 1, 1, 2, 2, 2, 0, 3, 0, 2, 2, 3, 1, 1, 4, 0, 2, 4, 4, 2, 3, 4, 2, 2, 3, 2, 1, 0, 4, 1, 3, 3, 0, 2, 2, 0, 4, 1, 3, 3, 1, 0, 1, 4, 4, 0, 2, 4, 2, 0, 3, 0, 4] pubkeycol840 = [3, 4, 3, 0, 3, 4, 0, 3, 3, 4, 0, 4, 3, 3, 2, 4, 3, 4, 4, 4, 3, 1, 3, 3, 4, 2, 2, 1, 4, 4, 0, 1, 2, 3, 0, 4, 4, 2, 2, 0, 0, 1, 0, 2, 0, 3, 3, 1, 2, 4, 0, 1, 1, 4, 0, 0, 1, 2, 0, 4, 2, 1, 4, 4, 1, 0, 0, 3, 3, 0, 2, 4, 2, 4, 2, 1, 1, 4, 0, 3, 3, 2, 4, 4, 2, 4, 4, 2, 3, 0, 1, 0, 4, 1, 0, 1, 0, 2, 0, 4, 2, 1, 2, 3, 1, 3, 4, 1, 4, 4, 1, 0, 0, 1, 4, 2, 0, 1, 2, 0, 1, 1, 0, 1, 4, 1, 3, 2, 4, 1, 4, 3, 0, 3, 1, 4, 3, 0, 2, 4, 0, 0, 2, 0, 1, 3, 0, 1, 4, 1, 2, 1, 1, 1, 1, 1, 0, 3, 4, 2, 4, 1, 2, 3, 1, 1, 4, 1, 0, 2, 4, 1, 2, 2, 0, 2, 4, 4, 2, 4, 3, 0, 3, 1, 3, 4, 3, 1, 1, 2, 3, 0, 4, 1, 1, 2, 4, 1, 0, 1, 2, 0, 2, 0, 2, 1, 4, 4, 1, 4, 3, 4, 2, 1, 1, 1, 1, 4, 0, 1, 2, 4, 4, 3, 2, 1, 3, 2, 1, 3, 3, 0, 2, 0, 4, 4, 0, 1, 4, 1, 3, 1, 4, 3, 2, 4, 3, 4, 0, 3, 4, 3, 3, 1, 3, 4, 3, 4, 1, 0, 0, 4, 2, 4, 0, 0, 0, 1, 1, 4, 4, 3, 1, 4, 3, 4, 3, 0, 0, 3, 3, 0, 3, 2, 2, 1, 0, 2, 0, 4, 3, 4, 2, 1, 1, 0, 2, 3, 1, 3, 2, 2, 3, 3, 3, 2, 2, 3, 4, 3, 0, 1, 2, 1, 3, 4, 3, 2, 3, 3, 0, 4, 2, 2, 4, 0, 2, 2, 2, 3, 3, 1, 1, 2, 4, 4, 4, 3, 1, 0, 1, 0, 0, 0, 4, 3, 4, 3, 3, 2, 0, 3, 2, 4, 1, 0, 4, 2, 1, 3, 4, 0, 3, 1, 1, 3, 1, 3, 3, 0, 2, 0, 2, 4, 0, 4, 3, 3, 3, 1, 3, 2, 3, 1, 3, 2, 0, 2, 0, 1, 0, 2, 4, 4, 3, 1, 3, 0, 3, 0] pubkeycol841 = [2, 2, 2, 0, 3, 4, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 3, 2, 3, 2, 4, 1, 1, 3, 2, 3, 2, 2, 1, 0, 2, 0, 1, 4, 2, 4, 1, 4, 0, 4, 1, 2, 0, 1, 1, 1, 1, 0, 4, 1, 2, 4, 4, 3, 3, 2, 4, 1, 2, 3, 4, 3, 4, 2, 2, 1, 0, 0, 0, 4, 1, 3, 0, 4, 3, 1, 0, 0, 4, 4, 3, 1, 2, 4, 2, 2, 1, 1, 1, 4, 3, 2, 4, 1, 2, 4, 2, 2, 3, 1, 3, 3, 1, 2, 2, 3, 2, 2, 2, 4, 3, 1, 2, 0, 2, 0, 4, 2, 2, 1, 1, 1, 1, 3, 0, 1, 3, 0, 2, 4, 4, 0, 1, 4, 1, 3, 4, 4, 4, 2, 0, 0, 0, 4, 2, 1, 4, 4, 2, 3, 0, 1, 3, 0, 2, 0, 4, 0, 1, 0, 0, 3, 1, 4, 4, 2, 2, 4, 2, 1, 1, 0, 0, 4, 4, 1, 3, 3, 0, 2, 0, 1, 4, 0, 1, 0, 0, 4, 2, 3, 2, 2, 2, 4, 0, 4, 3, 2, 4, 3, 1, 4, 4, 4, 2, 2, 2, 0, 0, 2, 1, 3, 2, 3, 0, 0, 3, 3, 2, 2, 3, 0, 4, 3, 0, 2, 0, 0, 3, 3, 0, 4, 1, 1, 4, 1, 3, 1, 3, 2, 0, 2, 4, 2, 1, 4, 4, 3, 4, 4, 1, 3, 1, 0, 3, 2, 4, 4, 3, 2, 0, 4, 0, 4, 3, 3, 4, 1, 3, 2, 2, 4, 4, 3, 2, 2, 0, 0, 2, 0, 3, 1, 2, 3, 0, 0, 3, 1, 3, 4, 4, 4, 4, 2, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 3, 1, 4, 3, 4, 2, 1, 1, 2, 3, 1, 2, 2, 0, 0, 0, 4, 0, 4, 3, 3, 0, 4, 0, 4, 2, 4, 0, 2, 2, 1, 0, 3, 2, 0, 3, 4, 4, 3, 2, 4, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 4, 0, 2, 4, 3, 3, 0, 3, 2, 1, 1, 1, 3, 1, 0, 2, 3, 1, 2, 0, 1, 4, 0, 2, 3, 1, 4, 4, 3, 0, 4, 4, 4, 0, 0, 3] pubkeycol842 = [2, 0, 3, 2, 2, 2, 1, 0, 0, 2, 3, 3, 0, 3, 2, 4, 0, 0, 0, 2, 1, 0, 1, 4, 2, 4, 3, 0, 0, 1, 4, 2, 0, 4, 2, 0, 1, 4, 2, 2, 0, 2, 0, 3, 2, 3, 1, 3, 2, 1, 4, 2, 2, 4, 1, 3, 3, 1, 1, 2, 4, 2, 4, 3, 0, 2, 2, 3, 3, 3, 4, 4, 4, 2, 0, 4, 0, 3, 0, 1, 2, 0, 1, 4, 4, 1, 2, 4, 3, 1, 2, 0, 2, 4, 3, 4, 1, 2, 2, 0, 3, 0, 0, 4, 2, 1, 2, 1, 0, 4, 3, 1, 4, 1, 4, 1, 2, 2, 1, 0, 3, 1, 2, 4, 4, 4, 3, 0, 2, 4, 1, 0, 1, 0, 4, 0, 4, 3, 4, 0, 0, 1, 1, 2, 2, 0, 4, 3, 3, 0, 3, 3, 1, 1, 1, 3, 4, 2, 4, 3, 0, 2, 4, 4, 3, 3, 3, 1, 1, 2, 0, 2, 3, 2, 1, 2, 1, 4, 0, 4, 1, 3, 1, 0, 2, 4, 2, 4, 3, 3, 3, 0, 0, 3, 0, 0, 4, 2, 2, 0, 2, 0, 4, 4, 4, 4, 3, 3, 1, 4, 4, 0, 0, 3, 3, 3, 2, 0, 3, 0, 0, 4, 4, 3, 1, 3, 0, 4, 3, 2, 0, 2, 2, 0, 4, 1, 4, 3, 0, 0, 4, 3, 4, 1, 4, 1, 3, 2, 2, 2, 0, 3, 3, 0, 0, 2, 0, 0, 3, 1, 4, 4, 1, 1, 4, 0, 4, 2, 0, 2, 0, 0, 0, 3, 3, 2, 0, 1, 1, 4, 4, 2, 3, 3, 4, 0, 4, 3, 2, 0, 0, 0, 1, 1, 3, 3, 4, 2, 3, 4, 2, 4, 4, 0, 3, 2, 4, 2, 2, 0, 1, 4, 1, 2, 1, 0, 3, 2, 2, 0, 4, 0, 4, 4, 0, 4, 3, 1, 1, 3, 2, 1, 3, 1, 2, 4, 0, 4, 4, 2, 3, 2, 3, 0, 3, 0, 0, 2, 2, 2, 1, 1, 3, 4, 3, 1, 2, 2, 0, 0, 1, 4, 0, 1, 1, 4, 4, 3, 3, 0, 1, 2, 2, 1, 0, 4, 2, 4, 0, 0, 4, 3, 1, 2, 2, 4, 3, 4, 1, 2, 2, 3, 1, 3, 4, 1, 1, 4, 2, 2] pubkeycol843 = [4, 2, 0, 3, 1, 2, 3, 1, 2, 3, 3, 1, 4, 4, 3, 1, 4, 0, 0, 4, 3, 4, 1, 3, 0, 0, 1, 2, 2, 3, 1, 4, 2, 1, 0, 4, 0, 0, 3, 1, 3, 4, 3, 2, 4, 3, 1, 3, 2, 2, 2, 4, 0, 2, 1, 1, 3, 4, 2, 2, 3, 1, 0, 3, 2, 2, 3, 1, 0, 1, 1, 2, 2, 2, 4, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 4, 2, 4, 0, 0, 0, 4, 3, 4, 3, 0, 0, 4, 0, 4, 2, 0, 2, 2, 3, 3, 0, 2, 0, 4, 3, 1, 4, 2, 4, 0, 0, 3, 4, 4, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 0, 0, 2, 4, 4, 0, 3, 2, 3, 2, 0, 2, 2, 0, 4, 3, 2, 1, 2, 4, 4, 1, 1, 3, 3, 2, 0, 4, 1, 4, 1, 4, 4, 0, 3, 3, 4, 4, 1, 0, 2, 1, 0, 3, 1, 2, 0, 2, 1, 1, 0, 4, 0, 4, 0, 4, 3, 1, 4, 3, 0, 3, 1, 0, 4, 3, 4, 2, 2, 1, 4, 4, 3, 4, 1, 1, 1, 1, 1, 2, 3, 1, 4, 3, 1, 3, 1, 4, 0, 1, 3, 4, 4, 0, 2, 2, 1, 0, 1, 3, 3, 1, 0, 2, 3, 1, 1, 0, 1, 4, 0, 1, 2, 4, 2, 2, 1, 2, 0, 3, 4, 0, 0, 3, 3, 3, 0, 3, 4, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 4, 0, 2, 4, 3, 0, 0, 3, 3, 0, 2, 1, 3, 2, 4, 4, 3, 3, 3, 4, 0, 2, 4, 4, 2, 3, 3, 4, 2, 4, 0, 1, 0, 1, 0, 1, 3, 2, 2, 2, 4, 1, 0, 1, 3, 2, 1, 0, 3, 3, 4, 3, 3, 1, 0, 2, 3, 1, 1, 4, 1, 1, 2, 3, 4, 3, 0, 3, 4, 3, 1, 1, 2, 1, 0, 4, 4, 2, 1, 2, 0, 4, 3, 1, 3, 3, 4, 4, 4, 3, 0, 3, 0, 0, 1, 1, 3, 2, 0, 4, 3, 2, 4, 4, 4, 0, 3, 0, 4, 0, 1, 4, 4, 2, 0, 1, 0, 1, 2, 3, 4, 4] pubkeycol844 = [1, 1, 2, 4, 0, 1, 0, 4, 2, 0, 0, 3, 4, 3, 1, 1, 4, 3, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 4, 0, 4, 0, 0, 3, 1, 4, 2, 3, 2, 4, 4, 1, 1, 4, 0, 2, 2, 4, 3, 0, 0, 3, 0, 1, 3, 2, 3, 4, 4, 1, 2, 0, 1, 4, 0, 2, 0, 1, 1, 3, 0, 3, 4, 2, 3, 0, 3, 1, 0, 0, 3, 1, 1, 2, 1, 1, 2, 4, 2, 1, 0, 3, 3, 2, 3, 0, 0, 0, 2, 4, 1, 3, 0, 1, 2, 1, 1, 1, 4, 4, 0, 4, 3, 0, 3, 4, 1, 2, 1, 4, 3, 2, 3, 4, 1, 2, 3, 3, 3, 1, 1, 0, 4, 3, 1, 1, 3, 1, 1, 3, 2, 1, 2, 3, 1, 3, 1, 2, 0, 0, 3, 0, 0, 4, 3, 3, 2, 1, 0, 4, 1, 3, 3, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 4, 1, 0, 3, 1, 1, 0, 3, 1, 0, 1, 2, 1, 1, 4, 1, 2, 3, 3, 2, 4, 3, 3, 1, 4, 2, 1, 0, 0, 1, 1, 2, 2, 3, 3, 4, 2, 2, 4, 4, 3, 0, 3, 1, 3, 3, 4, 1, 4, 2, 0, 3, 2, 4, 4, 4, 1, 4, 4, 4, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 4, 4, 1, 3, 4, 0, 2, 1, 0, 2, 4, 0, 3, 3, 0, 2, 1, 1, 1, 3, 0, 4, 0, 1, 3, 0, 2, 3, 3, 3, 3, 1, 4, 0, 3, 2, 1, 2, 4, 0, 4, 3, 0, 1, 3, 3, 4, 3, 1, 2, 3, 4, 1, 0, 4, 1, 2, 3, 1, 2, 4, 1, 2, 3, 4, 2, 0, 4, 0, 4, 3, 1, 4, 3, 4, 1, 4, 4, 1, 1, 2, 4, 4, 4, 4, 0, 1, 4, 0, 4, 1, 4, 3, 1, 3, 1, 0, 3, 4, 4, 4, 1, 2, 3, 4, 1, 2, 2, 1, 2, 2, 2, 3, 1, 0, 4, 1, 2, 2, 0, 1, 3, 3, 2, 3, 4, 2, 4, 4, 3, 1, 1, 4, 1, 4, 2, 4, 4, 4, 1, 0, 4, 2, 2, 4, 0, 4, 2, 4, 4, 3, 0, 1, 0] pubkeycol845 = [2, 2, 1, 3, 3, 0, 3, 0, 4, 3, 3, 1, 3, 0, 4, 4, 4, 3, 4, 2, 3, 0, 3, 0, 0, 3, 0, 0, 2, 2, 4, 1, 4, 0, 2, 4, 4, 1, 1, 1, 2, 4, 3, 2, 3, 4, 2, 1, 2, 2, 4, 4, 2, 2, 2, 0, 3, 0, 4, 1, 0, 1, 4, 1, 2, 0, 3, 4, 0, 2, 0, 3, 4, 1, 1, 4, 2, 1, 2, 1, 3, 2, 1, 3, 3, 3, 3, 2, 4, 4, 1, 2, 3, 2, 1, 4, 2, 1, 4, 4, 1, 1, 0, 0, 0, 1, 2, 3, 0, 1, 1, 2, 4, 1, 4, 3, 3, 0, 0, 0, 2, 1, 3, 1, 4, 2, 1, 0, 0, 2, 2, 0, 3, 2, 2, 4, 3, 3, 4, 3, 3, 2, 4, 1, 0, 4, 0, 0, 4, 3, 0, 0, 3, 4, 2, 3, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 2, 4, 0, 2, 4, 4, 1, 2, 3, 0, 3, 2, 2, 1, 4, 4, 4, 4, 3, 3, 0, 2, 1, 3, 4, 1, 1, 0, 2, 1, 1, 2, 3, 4, 1, 4, 1, 0, 3, 3, 4, 3, 3, 2, 0, 1, 2, 4, 3, 4, 0, 3, 1, 3, 1, 0, 1, 0, 4, 2, 0, 2, 4, 0, 1, 4, 2, 3, 4, 0, 3, 4, 4, 0, 1, 3, 1, 3, 0, 1, 4, 1, 4, 0, 4, 4, 0, 1, 2, 1, 0, 4, 2, 3, 0, 2, 1, 4, 2, 1, 0, 4, 4, 3, 3, 3, 2, 4, 1, 3, 2, 4, 3, 1, 0, 1, 4, 4, 1, 3, 0, 0, 3, 1, 4, 3, 0, 2, 1, 2, 2, 1, 2, 1, 4, 1, 0, 0, 3, 1, 4, 3, 4, 0, 4, 0, 3, 4, 1, 0, 4, 1, 3, 3, 3, 4, 0, 2, 2, 1, 1, 4, 2, 1, 3, 2, 4, 3, 3, 1, 2, 3, 4, 0, 4, 0, 4, 4, 3, 2, 4, 2, 3, 1, 2, 3, 2, 2, 4, 2, 4, 1, 1, 3, 3, 3, 0, 2, 1, 0, 4, 4, 3, 0, 3, 4, 0, 0, 0, 3, 4, 1, 1, 0, 3, 4, 0, 2, 2, 1, 2, 2, 4, 4, 2, 4, 0, 1, 2, 4, 3, 4, 0, 3] pubkeycol846 = [4, 2, 1, 4, 3, 1, 2, 0, 1, 0, 4, 1, 3, 0, 1, 1, 0, 3, 4, 4, 1, 0, 3, 3, 0, 2, 0, 0, 1, 4, 1, 4, 2, 1, 3, 0, 4, 4, 4, 3, 4, 4, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 4, 1, 3, 1, 4, 3, 0, 4, 4, 2, 1, 3, 3, 3, 1, 0, 1, 0, 1, 1, 3, 0, 3, 1, 1, 2, 3, 1, 4, 0, 4, 1, 4, 1, 4, 4, 2, 1, 4, 0, 3, 4, 3, 4, 0, 1, 1, 2, 2, 0, 1, 0, 4, 2, 4, 4, 3, 3, 1, 1, 4, 0, 2, 2, 4, 0, 2, 4, 2, 3, 2, 2, 1, 4, 4, 0, 4, 2, 2, 0, 4, 3, 3, 4, 0, 1, 1, 0, 0, 1, 4, 2, 0, 2, 1, 3, 3, 0, 3, 2, 2, 4, 2, 0, 0, 2, 2, 2, 4, 4, 1, 4, 0, 0, 1, 0, 0, 2, 0, 1, 2, 4, 0, 2, 0, 0, 2, 4, 3, 0, 3, 0, 3, 1, 2, 1, 3, 4, 2, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 4, 3, 1, 2, 0, 2, 0, 1, 1, 3, 1, 2, 4, 0, 1, 1, 0, 1, 4, 3, 3, 3, 1, 1, 3, 4, 2, 2, 0, 2, 1, 4, 1, 1, 3, 3, 4, 2, 4, 4, 2, 2, 4, 1, 4, 4, 3, 1, 2, 2, 2, 3, 3, 1, 0, 3, 3, 0, 1, 3, 2, 1, 3, 2, 2, 0, 2, 3, 0, 3, 0, 3, 3, 4, 1, 0, 3, 4, 0, 4, 2, 0, 3, 0, 0, 0, 1, 3, 4, 3, 2, 1, 1, 3, 0, 0, 1, 2, 4, 1, 3, 3, 0, 0, 2, 2, 3, 4, 0, 0, 1, 2, 3, 4, 4, 0, 4, 2, 1, 4, 0, 3, 3, 1, 1, 2, 2, 4, 3, 1, 0, 1, 1, 0, 3, 1, 3, 3, 1, 2, 4, 0, 0, 3, 0, 2, 1, 2, 2, 4, 0, 4, 4, 0, 1, 3, 1, 1, 0, 1, 3, 3, 3, 2, 2, 1, 4, 2, 4, 2, 3, 1, 0, 2, 2, 3, 0, 1, 2, 0, 3, 4, 2, 3, 0, 3, 1, 0, 2, 3, 4, 0, 4, 4] pubkeycol847 = [4, 3, 0, 0, 3, 2, 3, 1, 0, 3, 4, 0, 4, 2, 4, 0, 1, 4, 1, 0, 4, 1, 0, 0, 4, 0, 2, 1, 1, 4, 1, 4, 0, 4, 1, 0, 4, 3, 4, 1, 1, 2, 1, 1, 2, 3, 4, 3, 0, 4, 3, 4, 3, 2, 0, 2, 0, 3, 1, 4, 4, 1, 0, 1, 3, 3, 0, 3, 0, 1, 0, 4, 0, 3, 2, 0, 0, 2, 2, 4, 2, 2, 3, 2, 2, 1, 3, 0, 2, 3, 4, 3, 2, 4, 2, 3, 0, 0, 3, 3, 3, 0, 1, 2, 3, 1, 3, 2, 3, 3, 2, 3, 2, 1, 0, 0, 0, 4, 2, 4, 4, 0, 1, 3, 4, 0, 1, 0, 3, 3, 1, 0, 4, 3, 4, 3, 3, 3, 1, 2, 4, 1, 3, 4, 0, 0, 1, 4, 1, 2, 4, 0, 2, 1, 4, 2, 1, 4, 4, 3, 0, 2, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 3, 0, 0, 2, 3, 3, 2, 4, 1, 4, 4, 2, 0, 4, 0, 2, 2, 4, 2, 2, 1, 0, 0, 1, 0, 2, 4, 2, 2, 0, 1, 4, 4, 1, 4, 2, 1, 4, 2, 0, 1, 4, 1, 0, 4, 1, 2, 2, 0, 1, 4, 4, 1, 3, 1, 3, 0, 4, 1, 1, 2, 0, 0, 1, 0, 1, 3, 4, 2, 4, 4, 2, 4, 0, 1, 0, 1, 0, 2, 3, 3, 2, 0, 0, 4, 1, 1, 2, 3, 1, 4, 2, 3, 4, 3, 2, 1, 4, 0, 3, 1, 3, 0, 3, 4, 1, 1, 2, 4, 4, 2, 2, 0, 2, 4, 3, 3, 4, 1, 0, 3, 3, 0, 2, 4, 4, 2, 3, 3, 1, 1, 0, 2, 0, 0, 4, 1, 4, 2, 2, 0, 2, 3, 3, 1, 1, 2, 4, 4, 0, 1, 2, 1, 1, 4, 0, 1, 4, 2, 1, 3, 4, 4, 3, 1, 3, 2, 1, 0, 4, 2, 0, 4, 2, 4, 1, 4, 0, 3, 4, 4, 2, 0, 1, 4, 4, 1, 2, 1, 0, 1, 3, 2, 4, 0, 1, 0, 4, 1, 1, 3, 0, 1, 4, 0, 4, 0, 3, 2, 1, 4, 3, 0, 0, 0, 1, 4, 4, 2, 1, 3, 2] pubkeycol848 = [0, 1, 1, 4, 3, 0, 4, 1, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 0, 4, 3, 2, 1, 0, 4, 0, 4, 2, 1, 4, 2, 1, 4, 3, 1, 2, 1, 1, 3, 4, 3, 1, 3, 3, 4, 2, 1, 4, 2, 0, 3, 0, 0, 1, 4, 0, 4, 2, 1, 2, 0, 1, 4, 1, 2, 0, 1, 4, 2, 0, 1, 4, 4, 4, 0, 3, 3, 4, 3, 2, 1, 2, 4, 4, 2, 4, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 4, 4, 2, 2, 2, 2, 1, 2, 4, 1, 2, 0, 0, 3, 3, 4, 3, 0, 3, 4, 1, 3, 3, 4, 1, 3, 1, 1, 4, 0, 3, 2, 4, 2, 3, 0, 2, 4, 2, 3, 1, 4, 2, 2, 3, 3, 4, 1, 0, 3, 0, 0, 3, 1, 3, 4, 0, 2, 1, 0, 1, 4, 4, 3, 1, 0, 1, 0, 2, 1, 2, 4, 1, 0, 0, 2, 3, 1, 4, 2, 2, 3, 4, 3, 1, 0, 2, 4, 3, 3, 3, 0, 0, 3, 4, 0, 0, 2, 0, 3, 1, 4, 3, 3, 2, 4, 0, 3, 2, 0, 0, 2, 3, 4, 0, 1, 3, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 4, 4, 2, 2, 3, 4, 3, 0, 4, 0, 0, 1, 4, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 2, 4, 2, 3, 1, 3, 0, 0, 2, 1, 4, 1, 4, 0, 1, 1, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 1, 4, 3, 4, 4, 4, 3, 1, 4, 4, 4, 4, 2, 1, 1, 1, 2, 4, 3, 0, 2, 4, 3, 2, 4, 2, 2, 4, 3, 2, 1, 1, 0, 1, 1, 1, 3, 0, 4, 1, 0, 2, 3, 4, 1, 0, 4, 0, 4, 4, 2, 2, 2, 4, 2, 3, 2, 3, 3, 2, 0, 3, 2, 4, 3, 1, 1, 4, 4, 2, 2, 2, 4, 3, 1, 3, 4, 4, 0, 0, 1, 3, 3, 1, 0, 2, 0, 1, 3, 2, 0, 4, 3, 2, 2, 1, 1, 2, 1, 2, 1, 4, 4, 0, 0, 0, 1, 4, 3, 2, 3, 3, 2, 2, 1, 3, 4, 1, 4, 0, 2, 1, 0, 0, 1, 1, 1] pubkeycol849 = [0, 2, 1, 0, 2, 0, 2, 4, 4, 0, 0, 3, 3, 3, 1, 0, 2, 1, 0, 4, 3, 3, 0, 0, 4, 1, 2, 3, 1, 0, 4, 1, 1, 1, 0, 1, 1, 2, 3, 2, 4, 1, 3, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 4, 4, 1, 3, 3, 0, 4, 1, 4, 4, 0, 1, 1, 0, 0, 1, 4, 3, 0, 4, 4, 3, 1, 1, 4, 0, 2, 1, 4, 0, 3, 2, 3, 2, 2, 1, 4, 3, 2, 3, 2, 0, 3, 1, 3, 1, 0, 1, 1, 4, 0, 0, 2, 4, 4, 0, 2, 0, 2, 1, 1, 0, 2, 1, 3, 4, 2, 4, 0, 2, 3, 1, 4, 4, 2, 1, 3, 4, 4, 1, 2, 3, 0, 0, 3, 3, 0, 4, 0, 3, 0, 4, 3, 1, 2, 0, 2, 3, 1, 1, 3, 2, 0, 2, 0, 3, 4, 4, 4, 3, 0, 4, 3, 0, 0, 4, 1, 4, 4, 3, 1, 3, 1, 0, 1, 3, 3, 4, 2, 3, 2, 4, 4, 4, 1, 2, 1, 4, 2, 2, 3, 0, 3, 0, 1, 4, 1, 2, 2, 2, 4, 1, 1, 1, 0, 0, 0, 4, 0, 3, 0, 1, 1, 0, 4, 1, 0, 0, 4, 2, 2, 1, 1, 3, 0, 4, 1, 0, 1, 1, 4, 1, 0, 3, 3, 3, 0, 4, 3, 2, 2, 2, 4, 0, 1, 0, 2, 4, 1, 4, 1, 1, 4, 1, 3, 2, 0, 3, 1, 0, 4, 0, 3, 2, 0, 0, 0, 4, 4, 4, 3, 1, 1, 4, 2, 0, 3, 3, 2, 1, 2, 1, 3, 1, 3, 0, 4, 4, 1, 2, 0, 1, 4, 4, 2, 3, 2, 2, 4, 2, 4, 4, 3, 3, 0, 3, 0, 0, 3, 2, 0, 4, 2, 3, 3, 0, 4, 4, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 4, 4, 1, 1, 4, 2, 4, 4, 0, 3, 1, 2, 0, 1, 1, 2, 0, 4, 2, 3, 2, 1, 1, 2, 0, 2, 3, 0, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 3, 1, 2, 3, 2, 2, 0, 4, 2, 0, 2, 0, 4, 3, 4, 2, 3, 3] pubkeycol850 = [1, 0, 0, 4, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 3, 1, 3, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 2, 3, 4, 2, 0, 4, 2, 4, 4, 4, 0, 0, 1, 0, 0, 3, 4, 2, 2, 3, 3, 2, 4, 4, 0, 3, 1, 0, 4, 1, 0, 2, 0, 4, 3, 2, 3, 3, 3, 0, 3, 4, 1, 3, 4, 2, 2, 3, 2, 1, 4, 0, 4, 0, 0, 3, 0, 4, 4, 0, 4, 4, 1, 4, 2, 2, 3, 0, 3, 4, 0, 1, 4, 0, 2, 4, 0, 3, 2, 3, 4, 0, 1, 0, 4, 0, 4, 0, 1, 1, 2, 2, 0, 3, 4, 0, 1, 2, 3, 1, 3, 1, 2, 2, 0, 3, 3, 1, 1, 4, 1, 2, 0, 1, 4, 0, 3, 0, 2, 2, 3, 3, 3, 2, 0, 4, 2, 0, 3, 0, 4, 1, 0, 2, 0, 4, 2, 4, 1, 3, 3, 4, 1, 0, 4, 1, 1, 1, 4, 4, 3, 3, 1, 1, 4, 3, 0, 1, 3, 4, 4, 3, 0, 1, 3, 4, 3, 0, 0, 2, 1, 0, 3, 3, 2, 3, 3, 0, 4, 3, 0, 1, 1, 4, 2, 1, 1, 0, 3, 3, 0, 4, 4, 4, 0, 2, 4, 3, 1, 2, 4, 4, 1, 4, 4, 0, 0, 0, 3, 1, 4, 3, 0, 3, 0, 4, 1, 3, 1, 4, 0, 4, 2, 2, 1, 4, 3, 4, 4, 0, 0, 3, 3, 4, 1, 0, 4, 0, 4, 0, 4, 1, 1, 0, 0, 4, 1, 0, 1, 4, 3, 2, 4, 2, 4, 2, 0, 3, 2, 2, 3, 4, 3, 0, 0, 1, 2, 0, 3, 4, 1, 2, 0, 3, 3, 0, 4, 2, 3, 0, 1, 4, 3, 0, 3, 0, 1, 2, 3, 2, 4, 3, 1, 4, 0, 1, 4, 0, 2, 2, 2, 3, 1, 0, 1, 2, 2, 2, 1, 4, 3, 3, 2, 2, 0, 3, 4, 1, 4, 4, 3, 2, 1, 4, 2, 0, 0, 2, 2, 4, 0, 3, 3, 1, 0, 2, 1, 3, 4, 4, 4, 1, 0, 4, 1, 4, 4, 1, 2, 0, 1, 2, 2, 0, 4, 2, 1, 4, 4, 0, 1, 1, 2, 0, 1, 2, 4, 1, 3, 2, 3, 1, 1] pubkeycol851 = [2, 0, 0, 1, 3, 0, 2, 2, 3, 0, 3, 1, 1, 2, 0, 4, 3, 0, 2, 4, 2, 4, 3, 4, 3, 1, 3, 4, 4, 2, 2, 0, 4, 0, 3, 1, 2, 1, 3, 2, 3, 2, 0, 4, 1, 2, 4, 0, 1, 3, 4, 0, 4, 0, 3, 3, 3, 0, 0, 1, 1, 0, 4, 2, 2, 0, 1, 3, 3, 2, 0, 2, 1, 0, 1, 1, 1, 3, 0, 3, 0, 2, 2, 4, 1, 1, 0, 4, 1, 2, 1, 1, 3, 0, 2, 2, 0, 1, 2, 1, 0, 1, 3, 1, 4, 2, 1, 4, 4, 2, 1, 3, 3, 2, 0, 1, 3, 0, 0, 3, 4, 0, 1, 3, 4, 4, 1, 2, 0, 4, 0, 0, 0, 0, 4, 0, 0, 2, 3, 1, 1, 0, 3, 0, 0, 1, 4, 3, 1, 0, 3, 4, 1, 4, 0, 3, 4, 3, 1, 4, 1, 1, 4, 3, 3, 4, 0, 1, 0, 4, 1, 2, 2, 1, 4, 4, 2, 1, 2, 2, 3, 3, 3, 2, 3, 4, 1, 2, 2, 3, 0, 2, 1, 3, 2, 1, 0, 4, 4, 4, 1, 4, 0, 4, 1, 4, 2, 1, 3, 1, 3, 0, 1, 4, 3, 0, 0, 0, 2, 1, 0, 3, 1, 3, 2, 3, 4, 1, 2, 1, 1, 4, 1, 3, 4, 3, 0, 4, 3, 1, 0, 3, 3, 0, 3, 2, 3, 1, 1, 0, 1, 4, 3, 0, 4, 1, 0, 2, 0, 0, 1, 0, 2, 4, 1, 3, 2, 0, 1, 4, 4, 1, 2, 0, 1, 0, 3, 3, 2, 4, 0, 3, 0, 0, 4, 4, 2, 3, 1, 1, 3, 0, 2, 2, 0, 1, 1, 3, 2, 0, 0, 4, 1, 1, 2, 3, 3, 3, 4, 0, 2, 3, 3, 0, 0, 2, 0, 3, 1, 2, 0, 0, 2, 1, 3, 0, 1, 4, 4, 3, 0, 2, 1, 0, 4, 4, 4, 2, 4, 2, 0, 0, 2, 1, 4, 4, 2, 1, 4, 1, 4, 0, 0, 4, 1, 4, 4, 2, 4, 1, 4, 3, 4, 1, 4, 0, 3, 1, 2, 1, 3, 0, 3, 0, 4, 0, 0, 4, 4, 3, 2, 3, 0, 0, 3, 4, 0, 2, 1, 0, 4, 0, 3, 1, 2, 4, 3, 3, 2, 3] pubkeycol852 = [1, 4, 0, 3, 2, 0, 3, 0, 4, 1, 4, 3, 4, 3, 2, 2, 0, 4, 1, 4, 3, 3, 1, 0, 4, 1, 1, 3, 0, 3, 4, 1, 1, 0, 1, 3, 4, 1, 3, 2, 4, 3, 3, 3, 1, 4, 2, 0, 3, 4, 0, 4, 2, 1, 2, 2, 4, 2, 3, 2, 3, 4, 3, 0, 1, 1, 3, 4, 0, 2, 0, 1, 3, 1, 4, 1, 1, 4, 2, 1, 3, 0, 1, 4, 2, 4, 3, 0, 3, 1, 1, 0, 4, 0, 1, 0, 3, 4, 1, 1, 4, 3, 0, 4, 3, 4, 4, 3, 4, 1, 1, 4, 2, 0, 0, 1, 4, 2, 3, 1, 2, 4, 2, 3, 3, 0, 3, 1, 1, 4, 0, 0, 1, 3, 3, 0, 0, 4, 1, 4, 3, 3, 0, 3, 3, 2, 0, 0, 0, 4, 3, 3, 2, 3, 4, 4, 3, 4, 3, 4, 4, 2, 0, 2, 0, 0, 4, 1, 1, 2, 3, 3, 2, 0, 2, 2, 4, 4, 2, 4, 3, 3, 4, 1, 0, 1, 1, 0, 2, 3, 4, 0, 4, 2, 4, 3, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 1, 0, 4, 4, 3, 3, 3, 3, 0, 3, 1, 0, 1, 3, 3, 1, 0, 0, 3, 2, 4, 1, 4, 3, 4, 1, 2, 2, 3, 2, 0, 0, 4, 4, 2, 2, 0, 4, 4, 1, 3, 4, 3, 3, 2, 1, 4, 0, 1, 0, 3, 0, 4, 2, 0, 2, 0, 3, 1, 4, 4, 1, 3, 2, 1, 1, 0, 1, 0, 1, 0, 3, 1, 1, 2, 4, 3, 4, 3, 1, 1, 0, 1, 3, 4, 2, 3, 4, 3, 2, 3, 4, 2, 4, 4, 4, 0, 1, 4, 4, 4, 2, 2, 2, 2, 1, 1, 3, 1, 3, 0, 4, 1, 4, 3, 0, 1, 3, 0, 0, 3, 1, 0, 0, 3, 1, 4, 4, 4, 2, 0, 4, 2, 3, 4, 2, 0, 4, 3, 3, 4, 1, 3, 3, 0, 4, 4, 1, 1, 2, 0, 3, 4, 2, 4, 0, 1, 3, 0, 2, 3, 2, 2, 4, 3, 0, 3, 2, 3, 0, 1, 0, 3, 3, 0, 1, 4, 0, 1, 3, 0, 1, 0, 3, 2, 0, 1, 4, 0, 0, 3, 3, 3, 3] pubkeycol853 = [2, 0, 2, 3, 4, 4, 4, 4, 4, 3, 1, 3, 3, 3, 0, 2, 4, 2, 2, 0, 4, 0, 4, 0, 2, 3, 1, 4, 0, 0, 1, 4, 3, 0, 3, 2, 2, 1, 3, 0, 4, 3, 4, 0, 0, 3, 2, 0, 3, 2, 1, 1, 4, 4, 2, 2, 3, 0, 1, 4, 4, 1, 1, 1, 1, 3, 3, 2, 0, 0, 4, 4, 2, 1, 2, 4, 2, 2, 4, 3, 2, 4, 3, 0, 1, 4, 4, 3, 2, 1, 4, 3, 4, 0, 1, 1, 0, 2, 0, 4, 2, 2, 0, 4, 2, 1, 4, 4, 1, 4, 0, 3, 2, 3, 2, 3, 4, 4, 1, 0, 1, 3, 4, 0, 4, 4, 2, 1, 1, 1, 1, 0, 0, 2, 1, 3, 0, 0, 1, 3, 2, 0, 0, 1, 3, 3, 1, 4, 0, 4, 0, 4, 0, 4, 2, 4, 0, 2, 0, 4, 0, 4, 3, 0, 2, 2, 0, 1, 2, 4, 2, 3, 4, 0, 3, 3, 1, 0, 3, 4, 2, 3, 0, 4, 2, 3, 4, 4, 0, 2, 0, 3, 3, 1, 2, 1, 3, 4, 3, 1, 4, 2, 2, 0, 2, 0, 4, 1, 0, 4, 3, 4, 0, 4, 2, 3, 0, 2, 3, 2, 2, 0, 0, 1, 4, 3, 3, 4, 2, 4, 0, 4, 0, 0, 3, 1, 2, 3, 1, 0, 0, 2, 1, 2, 3, 1, 0, 0, 3, 2, 4, 4, 2, 4, 4, 3, 3, 2, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 3, 3, 0, 2, 1, 0, 2, 1, 1, 4, 4, 4, 4, 3, 2, 1, 3, 0, 3, 1, 3, 3, 1, 0, 0, 1, 2, 4, 1, 2, 4, 1, 4, 1, 4, 3, 1, 0, 2, 3, 2, 2, 3, 2, 1, 1, 3, 1, 1, 4, 4, 2, 4, 3, 3, 2, 1, 0, 1, 4, 3, 1, 0, 1, 4, 2, 4, 1, 2, 3, 1, 4, 0, 2, 3, 1, 4, 0, 3, 4, 0, 1, 0, 2, 0, 0, 1, 3, 0, 3, 4, 1, 3, 2, 4, 2, 3, 4, 2, 2, 1, 0, 3, 2, 0, 3, 2, 1, 2, 2, 4, 2, 1, 1, 2, 3, 3, 2, 1, 3, 1, 2, 1, 2, 4] pubkeycol854 = [1, 2, 1, 2, 2, 2, 1, 2, 4, 3, 4, 4, 3, 1, 4, 0, 3, 1, 2, 0, 3, 4, 2, 3, 1, 2, 2, 2, 0, 1, 3, 2, 2, 1, 2, 4, 3, 3, 3, 0, 3, 3, 2, 0, 0, 2, 1, 4, 1, 2, 0, 2, 2, 2, 0, 1, 2, 4, 1, 4, 4, 0, 3, 0, 4, 0, 1, 3, 1, 1, 4, 4, 1, 4, 0, 1, 4, 3, 2, 4, 3, 4, 1, 4, 2, 2, 1, 3, 3, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 4, 0, 3, 3, 1, 1, 4, 2, 0, 3, 2, 2, 4, 0, 1, 1, 0, 2, 4, 1, 2, 2, 1, 4, 0, 3, 4, 4, 3, 0, 0, 2, 2, 4, 3, 4, 4, 1, 1, 4, 1, 0, 2, 0, 1, 2, 2, 3, 4, 2, 1, 3, 3, 0, 1, 0, 2, 2, 0, 2, 2, 3, 0, 1, 0, 1, 3, 4, 0, 4, 3, 4, 3, 3, 3, 0, 3, 1, 2, 1, 3, 3, 1, 4, 2, 1, 3, 1, 3, 0, 4, 0, 2, 4, 3, 4, 0, 1, 0, 3, 2, 1, 0, 2, 2, 3, 1, 4, 4, 1, 0, 0, 3, 2, 3, 4, 3, 4, 4, 3, 3, 2, 2, 4, 3, 3, 0, 4, 4, 0, 3, 3, 1, 1, 4, 3, 4, 0, 0, 0, 3, 3, 2, 2, 4, 1, 1, 4, 0, 3, 1, 1, 1, 3, 3, 4, 0, 3, 4, 0, 2, 2, 4, 2, 4, 4, 0, 0, 0, 3, 3, 4, 2, 1, 3, 4, 0, 0, 0, 4, 2, 4, 1, 0, 0, 3, 0, 2, 2, 4, 0, 0, 4, 0, 1, 1, 2, 2, 3, 0, 4, 1, 4, 2, 3, 4, 0, 3, 1, 2, 1, 4, 0, 1, 2, 1, 1, 3, 3, 0, 2, 4, 1, 4, 1, 0, 3, 3, 2, 4, 1, 3, 4, 1, 3, 4, 0, 3, 3, 3, 2, 0, 3, 2, 3, 4, 0, 0, 1, 3, 3, 2, 3, 4, 2, 1, 1, 2, 4, 3, 0, 3, 3, 4, 1, 3, 1, 2, 3, 0, 2, 4, 0, 1, 2, 1, 3, 3, 3, 4, 1, 4, 4, 0, 2, 4, 2, 0, 2, 0, 1, 3, 4, 0, 0, 3, 2, 3, 0, 0, 2] pubkeycol855 = [2, 1, 2, 2, 0, 2, 4, 0, 3, 4, 1, 4, 2, 3, 0, 0, 1, 4, 2, 0, 1, 1, 4, 2, 1, 3, 0, 3, 4, 2, 3, 0, 4, 4, 2, 1, 3, 3, 4, 2, 4, 2, 1, 1, 1, 3, 3, 0, 3, 2, 4, 1, 1, 1, 3, 0, 3, 1, 1, 1, 4, 0, 1, 4, 4, 3, 1, 1, 1, 1, 3, 1, 3, 1, 4, 2, 0, 0, 3, 4, 4, 3, 3, 2, 1, 1, 1, 0, 3, 4, 1, 3, 1, 0, 4, 3, 2, 1, 1, 4, 2, 2, 2, 2, 2, 2, 0, 4, 1, 0, 0, 4, 1, 4, 0, 4, 4, 2, 3, 1, 4, 3, 2, 1, 4, 2, 2, 3, 0, 0, 0, 2, 1, 3, 3, 4, 3, 4, 4, 4, 0, 2, 4, 2, 4, 0, 0, 1, 1, 3, 2, 3, 1, 3, 2, 1, 0, 2, 4, 0, 1, 1, 3, 0, 2, 3, 2, 0, 4, 0, 0, 2, 1, 1, 3, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 4, 2, 3, 3, 1, 2, 1, 2, 2, 2, 1, 3, 3, 2, 3, 2, 0, 1, 2, 1, 0, 3, 3, 1, 1, 3, 1, 2, 4, 2, 2, 3, 3, 3, 4, 0, 2, 4, 4, 0, 1, 2, 4, 4, 1, 2, 0, 3, 3, 0, 4, 1, 4, 3, 3, 2, 1, 4, 2, 3, 0, 2, 1, 2, 3, 4, 1, 0, 1, 1, 0, 3, 4, 1, 3, 3, 0, 2, 3, 1, 2, 0, 3, 0, 3, 4, 3, 1, 3, 2, 4, 4, 4, 0, 2, 4, 0, 4, 1, 2, 1, 3, 4, 2, 4, 3, 2, 0, 0, 2, 1, 3, 2, 1, 3, 0, 1, 3, 1, 3, 0, 2, 0, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 0, 4, 2, 4, 2, 1, 3, 3, 1, 2, 3, 3, 0, 1, 2, 1, 3, 1, 4, 0, 3, 2, 1, 4, 4, 1, 0, 4, 1, 4, 1, 2, 0, 4, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 4, 1, 1, 2, 2, 1, 0, 2, 4, 4, 0, 0, 1, 1, 1, 2, 1, 0, 3, 0, 4, 4, 4, 0, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 4, 3, 2, 4] pubkeycol856 = [3, 2, 2, 2, 2, 1, 3, 4, 0, 1, 2, 1, 1, 4, 1, 0, 0, 1, 1, 3, 2, 4, 4, 3, 1, 3, 3, 3, 1, 0, 0, 3, 1, 0, 4, 4, 4, 1, 4, 3, 2, 0, 4, 0, 3, 1, 4, 0, 3, 1, 3, 4, 4, 0, 1, 2, 4, 4, 4, 1, 0, 3, 0, 0, 2, 1, 3, 0, 0, 3, 0, 3, 1, 4, 4, 2, 1, 3, 4, 0, 2, 0, 2, 0, 2, 1, 0, 1, 4, 2, 4, 2, 2, 1, 0, 0, 4, 3, 1, 4, 2, 1, 0, 0, 1, 3, 3, 1, 1, 2, 2, 3, 0, 4, 4, 2, 0, 1, 1, 3, 4, 0, 4, 2, 0, 0, 3, 2, 0, 1, 4, 3, 2, 4, 1, 0, 0, 0, 3, 0, 0, 0, 2, 4, 3, 4, 2, 1, 1, 2, 0, 2, 1, 1, 2, 3, 1, 2, 4, 1, 2, 0, 1, 4, 4, 4, 4, 0, 2, 2, 0, 4, 2, 2, 4, 3, 3, 0, 1, 3, 0, 0, 1, 3, 1, 1, 3, 2, 1, 2, 4, 4, 1, 2, 0, 4, 0, 1, 4, 1, 1, 2, 4, 1, 4, 1, 3, 2, 3, 2, 0, 3, 2, 3, 3, 3, 2, 3, 3, 0, 3, 1, 1, 4, 3, 1, 1, 4, 0, 4, 1, 1, 1, 3, 0, 1, 4, 0, 4, 1, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 1, 0, 2, 4, 0, 0, 2, 3, 1, 3, 4, 3, 0, 2, 3, 0, 2, 4, 1, 3, 0, 1, 0, 3, 4, 2, 3, 1, 3, 2, 3, 0, 2, 4, 2, 4, 1, 1, 1, 0, 2, 3, 3, 3, 2, 4, 3, 3, 0, 3, 4, 0, 1, 2, 2, 3, 2, 0, 4, 4, 4, 3, 4, 3, 2, 4, 3, 4, 3, 4, 4, 1, 4, 1, 4, 1, 2, 0, 2, 2, 2, 4, 4, 0, 2, 3, 1, 4, 3, 3, 4, 2, 2, 4, 2, 2, 4, 2, 0, 2, 3, 3, 3, 0, 0, 2, 3, 4, 3, 1, 0, 1, 0, 3, 4, 0, 0, 4, 1, 3, 4, 1, 2, 0, 3, 2, 0, 3, 4, 1, 3, 0, 1, 2, 0, 3, 3, 2, 3, 1, 1, 4, 0, 0, 3, 0, 3, 3, 4] pubkeycol857 = [0, 2, 2, 4, 4, 4, 4, 1, 3, 0, 4, 0, 4, 0, 1, 0, 4, 0, 2, 1, 3, 2, 1, 3, 0, 3, 2, 1, 0, 4, 0, 2, 4, 4, 1, 4, 3, 2, 3, 4, 1, 4, 3, 4, 1, 4, 3, 0, 0, 4, 1, 3, 1, 2, 4, 4, 1, 2, 2, 1, 1, 2, 0, 0, 4, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 0, 2, 3, 2, 0, 4, 2, 2, 3, 0, 0, 3, 3, 2, 1, 4, 0, 4, 1, 0, 2, 1, 0, 2, 2, 1, 2, 4, 4, 1, 0, 1, 0, 1, 2, 4, 0, 2, 1, 3, 2, 4, 2, 1, 3, 4, 0, 0, 3, 1, 3, 1, 4, 2, 3, 0, 0, 1, 1, 2, 2, 2, 3, 1, 4, 4, 3, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 3, 3, 1, 3, 1, 0, 3, 2, 0, 0, 2, 1, 0, 1, 3, 2, 0, 1, 3, 1, 4, 4, 3, 0, 0, 3, 4, 3, 0, 4, 4, 0, 3, 2, 4, 4, 4, 3, 2, 3, 4, 0, 3, 1, 3, 4, 4, 2, 2, 1, 3, 0, 1, 3, 3, 1, 0, 0, 0, 1, 4, 3, 2, 0, 3, 4, 1, 1, 1, 1, 1, 0, 2, 4, 0, 2, 0, 1, 3, 3, 1, 4, 1, 2, 4, 4, 1, 4, 1, 2, 4, 1, 2, 2, 3, 1, 0, 4, 4, 3, 3, 3, 4, 0, 3, 4, 0, 3, 3, 2, 0, 1, 4, 1, 4, 3, 4, 0, 0, 4, 3, 3, 1, 4, 3, 1, 0, 2, 4, 4, 1, 0, 4, 3, 4, 4, 2, 2, 4, 4, 1, 4, 2, 2, 4, 3, 0, 1, 2, 3, 4, 1, 0, 4, 2, 4, 2, 1, 1, 1, 3, 3, 1, 3, 4, 4, 3, 2, 0, 4, 0, 4, 3, 1, 2, 1, 3, 4, 1, 4, 4, 4, 2, 2, 2, 0, 0, 2, 4, 3, 0, 3, 4, 0, 4, 3, 1, 4, 4, 4, 0, 0, 0, 0, 4, 1, 1, 2, 3, 3, 0, 4, 4, 2, 2, 1, 0, 1, 4, 3, 2, 0, 1, 2, 0, 2, 1, 1, 3, 1, 3, 2, 3, 3, 0, 4, 1, 4, 2, 1, 2, 4, 0, 1, 4, 4, 4, 4] pubkeycol858 = [3, 3, 2, 2, 4, 2, 4, 0, 0, 2, 3, 1, 3, 0, 4, 3, 1, 0, 2, 3, 3, 2, 3, 1, 0, 1, 3, 0, 4, 0, 2, 2, 1, 3, 0, 3, 4, 0, 0, 4, 3, 4, 4, 0, 4, 2, 1, 1, 2, 3, 1, 0, 4, 2, 4, 0, 4, 2, 0, 3, 1, 1, 1, 2, 4, 1, 4, 2, 3, 2, 3, 2, 4, 4, 4, 0, 4, 1, 0, 2, 1, 0, 4, 3, 4, 1, 1, 2, 0, 4, 1, 0, 4, 2, 4, 3, 0, 2, 3, 4, 1, 0, 2, 4, 2, 2, 4, 1, 4, 2, 2, 2, 2, 0, 4, 0, 1, 0, 3, 4, 2, 3, 4, 4, 1, 0, 1, 3, 4, 4, 1, 4, 1, 1, 2, 4, 0, 1, 0, 2, 0, 4, 3, 2, 3, 4, 3, 0, 2, 4, 2, 1, 4, 1, 4, 1, 1, 4, 3, 3, 2, 1, 4, 3, 2, 0, 3, 0, 1, 2, 0, 2, 0, 0, 4, 4, 4, 4, 3, 0, 3, 1, 1, 0, 0, 2, 3, 1, 3, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 4, 1, 3, 4, 0, 3, 4, 1, 3, 4, 1, 4, 3, 0, 3, 0, 4, 3, 0, 4, 0, 1, 2, 3, 2, 3, 4, 0, 2, 0, 2, 0, 4, 3, 2, 1, 2, 1, 0, 4, 4, 0, 4, 0, 2, 4, 4, 1, 3, 4, 4, 4, 3, 2, 2, 1, 3, 1, 1, 2, 4, 2, 2, 1, 1, 4, 3, 0, 4, 0, 0, 4, 2, 3, 2, 4, 4, 3, 0, 1, 0, 4, 4, 2, 1, 3, 1, 0, 0, 2, 3, 3, 1, 1, 4, 4, 2, 2, 2, 3, 2, 0, 2, 0, 0, 2, 3, 0, 0, 2, 3, 1, 4, 0, 4, 2, 4, 3, 0, 3, 4, 1, 3, 1, 3, 3, 1, 0, 3, 1, 4, 2, 3, 1, 0, 1, 4, 1, 1, 1, 3, 0, 4, 0, 4, 2, 4, 0, 2, 3, 3, 3, 4, 4, 1, 2, 1, 4, 2, 4, 4, 1, 4, 3, 1, 0, 0, 0, 4, 2, 3, 0, 1, 0, 3, 2, 2, 0, 4, 4, 1, 3, 1, 0, 4, 4, 4, 4, 2, 0, 3, 0, 2, 2, 3, 1, 2, 4, 2, 3, 3] pubkeycol859 = [1, 1, 4, 0, 3, 4, 4, 4, 1, 2, 2, 4, 3, 3, 1, 0, 3, 4, 4, 3, 0, 2, 3, 3, 4, 2, 0, 3, 1, 1, 0, 1, 1, 3, 4, 1, 3, 3, 0, 2, 4, 3, 3, 3, 3, 4, 0, 4, 2, 0, 3, 1, 1, 3, 3, 4, 2, 1, 0, 4, 0, 0, 1, 2, 1, 4, 3, 2, 0, 2, 3, 1, 3, 0, 1, 1, 1, 0, 2, 3, 3, 0, 0, 1, 1, 2, 1, 2, 0, 3, 1, 4, 0, 4, 1, 0, 2, 4, 4, 2, 0, 0, 4, 4, 0, 3, 0, 1, 0, 0, 0, 4, 0, 1, 2, 0, 0, 3, 4, 3, 3, 4, 3, 1, 4, 3, 4, 4, 0, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 4, 4, 4, 2, 2, 0, 1, 4, 3, 2, 3, 1, 0, 2, 3, 0, 3, 0, 0, 0, 2, 0, 1, 2, 4, 4, 4, 0, 1, 4, 4, 3, 3, 4, 4, 4, 3, 0, 0, 3, 0, 0, 0, 4, 0, 0, 1, 2, 4, 3, 1, 0, 0, 3, 4, 2, 4, 3, 2, 0, 2, 0, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 4, 2, 0, 0, 4, 3, 3, 2, 1, 4, 1, 1, 4, 4, 0, 0, 0, 4, 3, 4, 1, 3, 4, 1, 3, 1, 2, 3, 3, 1, 1, 4, 3, 0, 1, 4, 2, 1, 0, 3, 4, 1, 1, 4, 3, 0, 1, 1, 2, 0, 3, 3, 4, 1, 3, 3, 2, 2, 4, 1, 2, 2, 0, 4, 0, 3, 3, 4, 4, 2, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 2, 4, 1, 4, 0, 0, 4, 3, 4, 2, 4, 4, 1, 1, 3, 2, 1, 1, 4, 3, 2, 1, 4, 4, 2, 3, 0, 2, 2, 2, 3, 0, 4, 0, 4, 3, 3, 0, 2, 0, 1, 4, 2, 4, 0, 0, 1, 0, 4, 1, 0, 0, 4, 4, 4, 1, 3, 4, 4, 1, 2, 4, 1, 0, 0, 4, 2, 2, 0, 3, 1, 0, 4, 3, 3, 1, 4, 2, 4, 0, 2, 4, 0, 1, 3, 0, 2, 2, 2, 1, 0, 4, 3, 0, 3, 3, 4, 4, 0, 0, 1, 2, 4] pubkeycol860 = [1, 0, 2, 3, 2, 3, 2, 3, 0, 4, 3, 1, 2, 0, 2, 0, 2, 4, 0, 4, 0, 4, 4, 2, 1, 4, 0, 0, 0, 0, 3, 0, 2, 0, 3, 4, 0, 4, 3, 4, 2, 4, 1, 0, 0, 3, 2, 2, 4, 3, 0, 2, 0, 3, 3, 1, 2, 0, 2, 0, 0, 0, 1, 4, 0, 0, 3, 1, 2, 1, 2, 2, 0, 3, 2, 4, 0, 3, 4, 1, 2, 3, 0, 2, 4, 1, 1, 3, 3, 3, 1, 1, 0, 4, 2, 0, 0, 0, 1, 2, 3, 4, 2, 4, 3, 2, 4, 2, 1, 4, 0, 0, 2, 0, 3, 2, 2, 2, 3, 0, 1, 3, 3, 3, 4, 3, 2, 0, 2, 3, 0, 0, 1, 3, 3, 0, 0, 3, 3, 1, 1, 0, 3, 3, 0, 2, 0, 2, 1, 0, 3, 2, 2, 0, 1, 1, 2, 4, 2, 0, 0, 0, 2, 0, 1, 4, 0, 4, 1, 3, 3, 0, 1, 2, 3, 2, 2, 3, 2, 1, 3, 2, 0, 2, 4, 1, 4, 1, 0, 1, 1, 0, 3, 1, 3, 0, 0, 4, 4, 3, 4, 3, 3, 4, 2, 0, 4, 3, 1, 0, 4, 0, 2, 2, 2, 1, 0, 3, 2, 1, 0, 2, 4, 1, 1, 3, 4, 0, 4, 1, 2, 1, 2, 0, 0, 0, 4, 3, 4, 4, 3, 3, 4, 0, 0, 3, 4, 3, 1, 0, 3, 2, 2, 1, 0, 2, 2, 4, 4, 1, 2, 3, 2, 0, 4, 4, 1, 4, 2, 2, 3, 1, 3, 1, 0, 1, 1, 4, 2, 3, 2, 0, 2, 4, 1, 0, 0, 4, 3, 3, 0, 0, 4, 0, 1, 3, 4, 0, 2, 4, 0, 0, 1, 1, 2, 1, 2, 4, 0, 4, 4, 1, 0, 2, 2, 3, 2, 4, 0, 2, 3, 3, 4, 2, 0, 2, 2, 0, 3, 0, 3, 0, 1, 1, 0, 2, 1, 3, 2, 1, 0, 4, 4, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 3, 3, 1, 2, 0, 4, 3, 1, 1, 4, 3, 4, 1, 2, 0, 4, 3, 2, 1, 2, 3, 3, 4, 3, 2, 0, 2, 0, 1, 4, 1, 2, 2, 3, 4, 1, 4, 1, 0, 3, 2, 4, 2, 2, 3, 1, 1] pubkeycol861 = [4, 2, 1, 4, 4, 3, 0, 1, 3, 4, 0, 2, 2, 0, 3, 1, 3, 0, 1, 1, 3, 0, 0, 3, 0, 4, 0, 4, 2, 2, 4, 1, 3, 3, 2, 4, 4, 4, 2, 1, 2, 0, 3, 1, 4, 4, 2, 0, 0, 1, 0, 2, 4, 1, 1, 4, 3, 0, 4, 4, 2, 1, 3, 4, 0, 0, 1, 1, 4, 3, 0, 0, 1, 0, 3, 4, 3, 2, 4, 4, 3, 2, 2, 1, 1, 2, 1, 0, 2, 4, 3, 1, 0, 1, 2, 2, 3, 4, 2, 2, 0, 1, 3, 2, 1, 4, 3, 4, 4, 2, 4, 3, 0, 3, 4, 1, 2, 2, 3, 0, 1, 3, 2, 4, 4, 0, 2, 0, 3, 3, 3, 0, 3, 3, 2, 1, 4, 0, 2, 2, 1, 1, 2, 4, 3, 0, 3, 2, 1, 2, 0, 1, 3, 1, 0, 4, 1, 3, 3, 3, 4, 2, 3, 1, 3, 1, 4, 4, 4, 0, 0, 3, 4, 4, 1, 1, 3, 3, 4, 3, 3, 0, 1, 2, 2, 4, 2, 4, 4, 2, 3, 1, 1, 4, 4, 0, 4, 3, 3, 3, 1, 4, 2, 4, 1, 2, 0, 0, 4, 2, 0, 2, 2, 0, 0, 3, 1, 0, 4, 2, 1, 2, 4, 4, 4, 4, 3, 1, 0, 0, 3, 0, 3, 2, 0, 0, 0, 2, 2, 0, 4, 4, 2, 3, 1, 4, 1, 3, 3, 4, 3, 4, 0, 0, 2, 4, 4, 1, 0, 2, 3, 1, 3, 4, 0, 4, 2, 1, 4, 1, 1, 3, 4, 3, 2, 0, 3, 3, 3, 2, 2, 3, 1, 0, 0, 2, 0, 3, 1, 3, 1, 3, 3, 3, 3, 2, 1, 1, 1, 3, 3, 2, 4, 1, 1, 1, 0, 4, 4, 2, 2, 0, 2, 3, 4, 4, 1, 2, 1, 3, 3, 0, 0, 2, 4, 0, 1, 2, 1, 0, 1, 0, 4, 2, 3, 1, 0, 1, 3, 3, 2, 3, 4, 1, 1, 1, 3, 4, 2, 3, 3, 1, 0, 2, 0, 3, 0, 4, 0, 2, 3, 1, 3, 2, 3, 3, 2, 4, 0, 4, 4, 1, 4, 1, 1, 0, 2, 3, 2, 3, 0, 4, 0, 4, 3, 1, 4, 3, 4, 3, 4, 1, 3, 4, 1, 2, 1, 2, 0, 2] pubkeycol862 = [0, 0, 2, 0, 4, 2, 0, 3, 3, 4, 1, 2, 0, 2, 4, 3, 0, 3, 4, 3, 4, 0, 4, 4, 0, 0, 0, 0, 4, 3, 3, 2, 1, 2, 3, 4, 4, 1, 3, 2, 1, 2, 2, 1, 1, 4, 3, 3, 4, 3, 4, 1, 1, 0, 4, 0, 3, 0, 1, 1, 1, 0, 3, 2, 2, 3, 2, 4, 3, 4, 2, 4, 1, 4, 2, 1, 2, 0, 3, 0, 0, 0, 3, 1, 4, 3, 4, 4, 4, 4, 1, 0, 2, 0, 0, 2, 1, 4, 2, 4, 1, 3, 3, 0, 4, 4, 1, 0, 2, 2, 0, 1, 1, 0, 3, 0, 4, 4, 4, 1, 3, 3, 0, 0, 1, 2, 4, 2, 3, 3, 3, 4, 3, 4, 1, 2, 2, 3, 2, 4, 2, 2, 2, 3, 0, 3, 4, 0, 3, 4, 2, 2, 1, 2, 3, 0, 0, 2, 2, 4, 1, 0, 3, 3, 3, 3, 1, 4, 4, 4, 0, 4, 0, 0, 4, 2, 1, 2, 0, 1, 2, 2, 1, 3, 4, 4, 1, 3, 4, 4, 3, 4, 1, 3, 4, 1, 0, 1, 0, 4, 2, 2, 3, 1, 4, 1, 4, 2, 4, 0, 1, 3, 2, 2, 3, 4, 1, 1, 4, 2, 3, 4, 0, 3, 0, 3, 0, 0, 3, 1, 1, 3, 4, 0, 3, 3, 4, 4, 4, 2, 3, 2, 3, 1, 4, 4, 2, 0, 3, 2, 4, 3, 2, 0, 4, 4, 1, 4, 2, 2, 4, 3, 4, 2, 3, 1, 2, 4, 2, 3, 4, 4, 1, 3, 4, 3, 3, 2, 4, 0, 2, 3, 0, 0, 4, 3, 3, 0, 0, 4, 2, 3, 2, 2, 0, 0, 2, 4, 4, 4, 1, 2, 2, 1, 1, 1, 3, 4, 2, 4, 2, 3, 3, 0, 4, 4, 4, 1, 4, 4, 1, 1, 2, 1, 0, 0, 3, 2, 0, 2, 3, 0, 4, 4, 4, 2, 0, 0, 4, 2, 0, 4, 2, 1, 1, 0, 4, 4, 3, 4, 1, 4, 2, 2, 1, 3, 3, 0, 2, 0, 3, 1, 2, 0, 0, 3, 3, 1, 4, 0, 4, 2, 3, 3, 0, 0, 3, 0, 0, 3, 2, 1, 0, 2, 3, 4, 4, 1, 4, 2, 4, 0, 1, 4, 2, 2, 2, 4, 1, 1] pubkeycol863 = [0, 1, 1, 0, 2, 4, 4, 3, 1, 3, 1, 3, 0, 3, 1, 1, 3, 1, 1, 4, 4, 4, 3, 1, 1, 0, 3, 1, 3, 3, 0, 2, 4, 3, 0, 1, 2, 0, 2, 2, 2, 0, 4, 1, 1, 3, 2, 3, 0, 1, 2, 0, 1, 3, 3, 2, 1, 4, 2, 3, 3, 1, 3, 2, 4, 2, 0, 4, 2, 3, 4, 2, 1, 1, 3, 1, 3, 2, 4, 4, 0, 3, 2, 3, 1, 2, 0, 0, 1, 4, 4, 4, 4, 0, 4, 1, 2, 2, 4, 3, 1, 4, 4, 4, 2, 3, 1, 2, 0, 3, 2, 3, 2, 1, 1, 1, 1, 1, 4, 2, 0, 1, 4, 2, 3, 4, 1, 2, 3, 2, 3, 1, 3, 3, 1, 0, 4, 1, 3, 1, 4, 4, 1, 1, 0, 4, 2, 4, 3, 3, 0, 4, 0, 2, 0, 1, 3, 1, 4, 0, 2, 2, 4, 2, 2, 3, 3, 4, 3, 1, 2, 1, 4, 3, 3, 2, 4, 1, 1, 4, 1, 2, 2, 2, 0, 3, 3, 2, 3, 0, 0, 0, 1, 1, 3, 2, 2, 1, 0, 3, 1, 2, 2, 2, 0, 4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 3, 1, 3, 0, 2, 1, 3, 1, 2, 3, 1, 2, 4, 0, 1, 1, 4, 3, 1, 4, 2, 3, 2, 1, 3, 4, 0, 0, 1, 4, 3, 1, 3, 0, 2, 0, 1, 0, 1, 0, 2, 3, 1, 0, 3, 1, 0, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 2, 3, 1, 2, 1, 4, 4, 4, 3, 0, 0, 1, 1, 3, 1, 4, 0, 3, 0, 2, 0, 2, 4, 1, 2, 3, 3, 2, 2, 2, 0, 3, 4, 1, 3, 4, 4, 1, 4, 0, 2, 1, 1, 3, 1, 1, 3, 3, 0, 1, 4, 1, 3, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 4, 2, 4, 2, 4, 0, 2, 2, 1, 3, 1, 2, 1, 1, 2, 1, 4, 0, 1, 1, 3, 1, 0, 0, 4, 0, 4, 0, 1, 3, 2, 1, 3, 4, 0, 4, 2, 0, 3, 4, 4, 2, 2, 0, 1, 3, 3, 3, 3, 0, 0, 2, 1, 3, 2, 3, 4, 0, 3, 3, 3, 2] pubkeycol864 = [3, 2, 3, 2, 4, 3, 0, 2, 4, 3, 1, 2, 2, 0, 3, 2, 1, 1, 2, 3, 4, 2, 1, 3, 2, 2, 3, 1, 0, 3, 3, 0, 3, 3, 2, 1, 4, 4, 3, 0, 2, 2, 4, 1, 1, 4, 3, 3, 1, 1, 0, 2, 2, 2, 2, 2, 3, 1, 4, 4, 1, 4, 3, 4, 1, 2, 3, 4, 0, 0, 3, 4, 4, 0, 1, 2, 2, 1, 1, 4, 4, 4, 4, 1, 4, 4, 3, 4, 3, 3, 1, 1, 3, 1, 2, 0, 3, 1, 0, 4, 4, 4, 1, 2, 2, 3, 2, 3, 4, 2, 2, 2, 4, 1, 0, 0, 4, 1, 0, 2, 3, 0, 0, 2, 0, 1, 4, 2, 0, 0, 1, 4, 2, 1, 3, 1, 4, 2, 1, 0, 2, 3, 2, 3, 1, 4, 4, 0, 4, 2, 4, 3, 3, 4, 1, 0, 0, 2, 1, 0, 2, 3, 4, 1, 4, 2, 1, 1, 1, 4, 1, 3, 1, 2, 4, 4, 4, 4, 3, 2, 3, 4, 0, 2, 4, 0, 3, 4, 4, 0, 0, 4, 2, 1, 4, 2, 4, 2, 2, 3, 1, 4, 3, 0, 3, 0, 0, 4, 4, 1, 4, 1, 1, 4, 3, 0, 4, 1, 2, 1, 0, 3, 1, 1, 2, 3, 2, 3, 3, 4, 1, 2, 4, 4, 4, 0, 0, 2, 0, 0, 3, 4, 4, 4, 1, 0, 4, 3, 4, 4, 3, 3, 3, 0, 4, 2, 4, 4, 4, 4, 4, 1, 0, 1, 4, 4, 1, 3, 0, 4, 0, 4, 4, 1, 4, 1, 0, 3, 3, 4, 4, 1, 3, 0, 0, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 4, 2, 0, 0, 1, 0, 1, 3, 0, 3, 4, 4, 0, 3, 4, 0, 1, 4, 0, 0, 4, 2, 0, 4, 0, 0, 1, 1, 0, 2, 4, 4, 1, 3, 4, 3, 0, 3, 1, 3, 3, 1, 2, 3, 2, 1, 3, 3, 1, 2, 1, 4, 1, 2, 2, 0, 3, 3, 4, 3, 4, 0, 4, 0, 1, 3, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 1, 4, 0, 4, 4, 0, 0, 3, 0, 0, 1, 0, 2, 2, 4, 4, 2, 2, 0, 1, 3, 2, 4, 0, 2, 3, 3, 1, 2] pubkeycol865 = [4, 0, 0, 0, 1, 3, 0, 4, 1, 2, 4, 0, 0, 4, 3, 4, 3, 0, 3, 3, 0, 2, 4, 1, 1, 0, 2, 1, 2, 0, 2, 3, 3, 2, 3, 0, 0, 4, 0, 1, 2, 0, 0, 4, 4, 1, 4, 4, 0, 2, 3, 0, 2, 1, 0, 0, 4, 4, 1, 3, 1, 0, 0, 1, 0, 1, 2, 3, 3, 4, 3, 3, 1, 2, 3, 0, 0, 2, 0, 0, 2, 3, 2, 3, 4, 0, 3, 0, 2, 0, 4, 2, 0, 1, 2, 4, 4, 2, 3, 1, 1, 4, 0, 3, 3, 1, 4, 3, 1, 0, 4, 0, 3, 4, 3, 3, 3, 4, 1, 0, 1, 4, 2, 1, 2, 1, 0, 4, 4, 1, 0, 1, 3, 4, 3, 2, 2, 1, 1, 3, 4, 4, 2, 3, 1, 4, 0, 4, 0, 1, 3, 4, 1, 2, 0, 4, 2, 2, 4, 1, 4, 3, 0, 4, 2, 4, 3, 3, 2, 3, 1, 4, 2, 2, 3, 1, 1, 1, 3, 1, 2, 1, 4, 1, 1, 3, 3, 3, 4, 2, 3, 1, 2, 0, 2, 3, 0, 4, 2, 3, 3, 4, 3, 4, 4, 3, 2, 4, 3, 0, 0, 2, 2, 3, 2, 4, 1, 0, 2, 0, 0, 3, 2, 3, 2, 2, 1, 1, 0, 2, 4, 1, 4, 2, 2, 2, 0, 2, 2, 4, 0, 4, 0, 0, 0, 2, 4, 4, 2, 4, 0, 2, 4, 0, 4, 1, 4, 0, 0, 3, 3, 1, 3, 0, 1, 0, 2, 0, 3, 3, 2, 2, 3, 3, 4, 2, 0, 1, 2, 2, 3, 0, 4, 3, 2, 0, 2, 4, 1, 3, 2, 3, 0, 1, 0, 4, 3, 1, 2, 4, 0, 2, 0, 3, 1, 4, 4, 1, 1, 2, 0, 3, 3, 3, 2, 4, 2, 1, 1, 0, 3, 0, 0, 0, 0, 0, 4, 1, 3, 2, 2, 0, 2, 1, 0, 3, 0, 4, 3, 3, 1, 4, 4, 0, 0, 3, 0, 2, 4, 4, 4, 1, 2, 0, 0, 2, 2, 0, 1, 4, 4, 4, 1, 0, 0, 1, 3, 2, 2, 4, 3, 4, 4, 3, 2, 0, 2, 0, 4, 0, 3, 1, 1, 2, 2, 4, 0, 1, 3, 4, 3, 2, 4, 0, 3, 1, 0, 1, 4, 4] pubkeycol866 = [4, 1, 0, 2, 2, 1, 4, 4, 1, 0, 4, 2, 4, 4, 2, 4, 0, 0, 2, 2, 1, 1, 1, 3, 4, 1, 4, 3, 0, 3, 1, 4, 3, 2, 4, 0, 1, 2, 4, 1, 1, 2, 3, 4, 2, 4, 3, 4, 2, 2, 4, 2, 0, 2, 2, 3, 2, 1, 0, 0, 3, 2, 1, 2, 4, 2, 1, 2, 1, 4, 0, 4, 4, 0, 3, 4, 4, 2, 1, 0, 1, 2, 2, 1, 3, 1, 0, 0, 2, 2, 2, 1, 1, 2, 3, 4, 2, 4, 4, 2, 1, 4, 4, 2, 3, 1, 3, 3, 2, 3, 0, 2, 2, 4, 4, 0, 4, 4, 3, 0, 1, 2, 0, 1, 2, 2, 4, 1, 2, 0, 1, 3, 2, 0, 0, 2, 0, 0, 2, 0, 3, 2, 2, 2, 2, 0, 1, 1, 4, 2, 4, 0, 1, 3, 3, 2, 2, 4, 3, 3, 1, 0, 4, 3, 1, 3, 3, 1, 3, 2, 1, 1, 3, 1, 1, 3, 1, 4, 3, 4, 3, 4, 3, 4, 2, 1, 0, 1, 0, 2, 4, 1, 2, 1, 4, 4, 1, 2, 0, 4, 3, 3, 0, 4, 1, 1, 0, 3, 3, 0, 2, 1, 0, 3, 3, 0, 3, 4, 4, 4, 0, 3, 0, 1, 3, 3, 4, 4, 4, 4, 0, 3, 3, 4, 0, 1, 1, 0, 3, 0, 0, 3, 0, 1, 2, 3, 2, 0, 3, 1, 4, 4, 0, 1, 4, 2, 1, 1, 0, 4, 1, 4, 0, 2, 3, 2, 1, 1, 3, 0, 3, 1, 1, 4, 4, 2, 2, 0, 2, 1, 1, 1, 2, 2, 3, 1, 4, 0, 2, 1, 0, 4, 0, 2, 2, 3, 0, 3, 3, 0, 0, 2, 0, 0, 3, 2, 3, 2, 4, 2, 2, 4, 3, 1, 3, 1, 1, 1, 0, 4, 0, 0, 2, 1, 3, 1, 3, 4, 2, 2, 3, 4, 3, 3, 3, 0, 2, 2, 4, 3, 1, 4, 1, 3, 4, 1, 4, 0, 4, 4, 3, 1, 0, 3, 3, 3, 0, 2, 4, 4, 4, 1, 3, 3, 4, 1, 4, 3, 3, 2, 1, 2, 0, 4, 1, 1, 3, 1, 0, 3, 4, 2, 0, 2, 4, 4, 2, 4, 0, 1, 1, 1, 4, 3, 4, 1, 4, 1, 0, 2] pubkeycol867 = [0, 4, 2, 1, 1, 3, 4, 0, 1, 4, 4, 1, 4, 1, 2, 0, 0, 1, 4, 1, 1, 2, 3, 0, 0, 4, 3, 4, 0, 2, 0, 3, 1, 2, 1, 0, 3, 2, 0, 3, 0, 2, 4, 0, 1, 4, 0, 1, 2, 4, 4, 1, 0, 4, 0, 1, 4, 2, 1, 3, 1, 4, 0, 3, 0, 0, 4, 1, 4, 3, 0, 0, 3, 4, 0, 1, 3, 4, 4, 1, 4, 4, 4, 2, 0, 0, 0, 4, 3, 2, 1, 0, 0, 1, 4, 4, 0, 0, 3, 1, 1, 0, 2, 3, 0, 0, 3, 0, 0, 2, 3, 0, 0, 1, 1, 2, 4, 0, 0, 0, 1, 4, 1, 4, 1, 0, 4, 2, 4, 3, 0, 4, 3, 2, 3, 2, 2, 3, 2, 0, 3, 0, 4, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 3, 3, 1, 3, 2, 0, 1, 3, 1, 2, 2, 4, 2, 0, 4, 1, 2, 3, 2, 3, 2, 0, 1, 0, 4, 4, 4, 2, 3, 4, 3, 0, 0, 0, 1, 1, 4, 4, 3, 2, 2, 0, 3, 1, 4, 3, 1, 2, 4, 4, 1, 0, 0, 3, 3, 0, 2, 2, 1, 1, 3, 2, 0, 0, 2, 0, 4, 2, 4, 1, 2, 4, 0, 3, 1, 0, 4, 0, 1, 1, 0, 1, 2, 4, 0, 3, 2, 1, 4, 1, 1, 4, 0, 3, 2, 0, 1, 4, 4, 3, 2, 3, 4, 3, 3, 0, 1, 0, 1, 1, 2, 0, 3, 4, 3, 4, 0, 2, 2, 0, 4, 3, 4, 1, 0, 1, 1, 4, 4, 0, 2, 0, 1, 2, 0, 4, 2, 2, 2, 1, 0, 3, 2, 0, 2, 4, 0, 0, 3, 0, 1, 1, 4, 4, 0, 2, 4, 0, 3, 0, 0, 1, 2, 3, 3, 3, 0, 0, 1, 0, 4, 3, 0, 3, 0, 3, 4, 2, 1, 0, 3, 3, 3, 1, 3, 0, 3, 4, 2, 0, 0, 0, 2, 4, 1, 1, 2, 0, 3, 0, 0, 3, 3, 0, 2, 4, 1, 3, 0, 0, 3, 0, 0, 3, 2, 1, 4, 2, 0, 1, 4, 3, 2, 1, 1, 2, 2, 0, 1, 3, 0, 3, 0, 1, 2, 0, 3, 1, 4, 3, 2, 0, 0, 4, 3, 1, 3] pubkeycol868 = [1, 2, 2, 1, 0, 4, 1, 2, 3, 3, 3, 1, 1, 2, 2, 0, 4, 0, 3, 4, 1, 2, 0, 1, 3, 4, 2, 4, 3, 1, 2, 2, 0, 0, 3, 4, 4, 1, 4, 4, 0, 2, 1, 1, 0, 1, 2, 0, 3, 3, 2, 4, 4, 4, 3, 1, 2, 0, 3, 0, 1, 1, 0, 0, 4, 2, 3, 3, 0, 2, 4, 2, 4, 1, 0, 1, 4, 0, 2, 0, 4, 4, 1, 4, 2, 0, 0, 1, 2, 3, 1, 2, 3, 4, 0, 3, 2, 0, 4, 4, 1, 1, 2, 3, 0, 3, 0, 0, 0, 3, 1, 0, 2, 0, 1, 1, 0, 3, 2, 3, 0, 4, 1, 4, 1, 1, 1, 0, 2, 1, 2, 3, 4, 3, 3, 4, 2, 4, 4, 4, 2, 1, 2, 1, 1, 0, 4, 0, 2, 0, 3, 0, 4, 3, 1, 4, 4, 2, 2, 1, 4, 0, 0, 2, 4, 3, 2, 2, 1, 0, 1, 0, 2, 3, 1, 4, 3, 2, 3, 1, 3, 2, 4, 0, 3, 2, 0, 4, 3, 2, 0, 2, 3, 0, 0, 1, 0, 2, 1, 2, 3, 0, 0, 2, 0, 3, 3, 0, 0, 0, 1, 0, 4, 4, 0, 2, 1, 1, 1, 0, 0, 1, 4, 4, 0, 2, 1, 2, 3, 0, 0, 0, 3, 3, 0, 3, 3, 1, 1, 3, 2, 4, 1, 1, 4, 0, 2, 1, 1, 4, 0, 3, 0, 1, 3, 3, 1, 4, 3, 1, 4, 2, 2, 4, 4, 3, 4, 3, 0, 3, 2, 0, 0, 4, 4, 1, 3, 1, 3, 3, 2, 1, 2, 0, 1, 1, 2, 4, 1, 4, 3, 4, 1, 4, 2, 2, 2, 4, 1, 1, 1, 2, 3, 4, 0, 0, 2, 2, 2, 3, 1, 1, 1, 1, 4, 1, 3, 1, 2, 3, 2, 0, 3, 4, 1, 1, 0, 0, 3, 4, 2, 1, 2, 1, 0, 4, 1, 4, 0, 2, 1, 4, 1, 1, 1, 2, 0, 3, 1, 4, 4, 3, 1, 0, 3, 2, 0, 4, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 3, 0, 4, 2, 2, 0, 3, 4, 1, 3, 2, 2, 2, 0, 0, 4, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 3, 4] pubkeycol869 = [3, 0, 3, 3, 0, 1, 3, 2, 2, 3, 0, 4, 3, 1, 1, 0, 0, 3, 3, 3, 0, 1, 1, 2, 4, 4, 2, 1, 4, 1, 4, 0, 1, 0, 2, 4, 1, 3, 2, 3, 1, 2, 4, 3, 4, 0, 3, 4, 4, 3, 0, 2, 4, 1, 3, 2, 0, 4, 4, 2, 3, 4, 0, 1, 0, 1, 4, 2, 3, 3, 0, 4, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 2, 3, 0, 0, 0, 1, 1, 1, 0, 3, 2, 2, 2, 1, 0, 3, 2, 4, 4, 1, 3, 2, 0, 1, 4, 0, 4, 4, 0, 0, 1, 4, 0, 3, 4, 3, 3, 0, 4, 1, 1, 4, 0, 0, 1, 3, 3, 0, 1, 3, 1, 4, 1, 2, 3, 1, 3, 4, 3, 3, 1, 3, 3, 0, 0, 3, 3, 3, 1, 1, 0, 4, 2, 4, 0, 1, 0, 0, 0, 1, 1, 2, 0, 4, 2, 0, 2, 1, 3, 4, 0, 2, 0, 4, 1, 4, 3, 3, 0, 0, 3, 0, 3, 2, 0, 3, 4, 2, 4, 0, 3, 0, 2, 4, 4, 0, 0, 0, 2, 3, 2, 4, 2, 1, 0, 1, 4, 2, 2, 1, 1, 4, 0, 4, 1, 2, 3, 1, 2, 1, 0, 0, 2, 4, 1, 4, 2, 2, 2, 2, 1, 1, 2, 4, 4, 2, 1, 4, 4, 2, 0, 3, 3, 4, 3, 1, 0, 2, 1, 3, 0, 2, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 3, 3, 0, 2, 2, 0, 2, 4, 2, 4, 2, 1, 2, 2, 0, 0, 0, 1, 1, 4, 3, 4, 3, 4, 0, 4, 1, 2, 3, 0, 4, 1, 2, 2, 4, 2, 0, 2, 4, 0, 3, 2, 4, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 2, 0, 2, 2, 4, 3, 4, 1, 2, 1, 2, 0, 1, 3, 3, 2, 4, 0, 0, 1, 3, 3, 0, 1, 0, 4, 4, 3, 3, 0, 0, 1, 0, 0, 1, 1, 4, 4, 3, 4, 0, 3, 3, 2, 2, 0, 4, 2, 4, 1, 2, 2, 2, 4, 2, 4, 0, 2, 0, 3, 0, 4, 3, 4, 4, 3, 2, 0, 0, 4, 1, 4, 1, 4, 0, 0, 3, 4, 1, 3, 4, 0] pubkeycol870 = [3, 1, 0, 2, 0, 0, 1, 4, 2, 1, 3, 3, 3, 1, 0, 0, 3, 2, 4, 1, 4, 0, 1, 4, 4, 4, 0, 1, 3, 2, 0, 1, 2, 2, 0, 1, 4, 1, 4, 2, 3, 3, 3, 4, 2, 4, 4, 1, 0, 2, 0, 3, 0, 4, 3, 3, 3, 0, 0, 3, 3, 2, 4, 4, 4, 3, 3, 0, 4, 0, 3, 0, 3, 2, 2, 1, 2, 2, 0, 4, 4, 1, 4, 0, 3, 1, 1, 1, 4, 1, 1, 1, 3, 0, 4, 2, 0, 2, 3, 2, 2, 4, 0, 4, 0, 1, 1, 1, 1, 2, 0, 1, 0, 4, 4, 2, 0, 3, 2, 2, 3, 4, 0, 3, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 3, 0, 4, 1, 3, 1, 1, 4, 3, 0, 0, 3, 2, 1, 2, 2, 3, 3, 0, 4, 4, 4, 0, 1, 3, 4, 2, 0, 1, 1, 0, 2, 2, 3, 3, 0, 3, 0, 1, 3, 2, 3, 4, 1, 2, 3, 4, 1, 3, 1, 4, 0, 3, 2, 3, 2, 4, 0, 0, 1, 2, 3, 4, 1, 2, 4, 3, 3, 3, 4, 4, 4, 2, 1, 0, 0, 4, 4, 2, 3, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 3, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 1, 2, 2, 1, 4, 4, 1, 1, 3, 4, 0, 2, 3, 0, 4, 4, 1, 4, 3, 1, 1, 0, 3, 3, 3, 1, 1, 2, 1, 2, 2, 0, 0, 3, 4, 4, 0, 2, 0, 3, 4, 3, 1, 4, 3, 4, 2, 4, 3, 0, 0, 3, 0, 4, 4, 3, 1, 0, 2, 0, 4, 3, 1, 4, 0, 3, 1, 1, 0, 4, 2, 1, 0, 1, 1, 4, 3, 1, 3, 4, 2, 3, 1, 1, 2, 1, 3, 3, 3, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 4, 2, 1, 3, 4, 0, 3, 0, 0, 4, 0, 0, 4, 3, 3, 4, 4, 3, 1, 2, 4, 2, 0, 2, 2, 1, 1, 0, 2, 4, 0, 1, 3, 0, 2, 2, 4, 0, 1, 1, 2, 2, 2, 4, 0, 1, 1, 4, 0, 2, 2, 0, 1, 2, 3, 1, 3, 3, 1] pubkeycol871 = [1, 2, 1, 4, 2, 1, 0, 2, 1, 2, 1, 3, 4, 2, 0, 4, 1, 2, 1, 4, 0, 2, 4, 4, 4, 2, 3, 4, 1, 4, 0, 3, 3, 1, 4, 0, 2, 3, 4, 0, 4, 4, 3, 1, 2, 2, 2, 3, 2, 0, 3, 0, 0, 4, 3, 1, 1, 2, 3, 2, 2, 3, 1, 2, 1, 4, 1, 3, 3, 1, 3, 2, 1, 2, 3, 3, 1, 4, 4, 4, 0, 0, 2, 3, 0, 1, 0, 4, 0, 4, 4, 0, 3, 0, 3, 3, 3, 2, 3, 3, 2, 2, 1, 3, 3, 1, 2, 0, 0, 4, 1, 2, 4, 3, 0, 2, 3, 0, 3, 2, 0, 1, 4, 1, 4, 0, 2, 2, 3, 1, 0, 3, 3, 3, 2, 3, 1, 4, 1, 1, 4, 3, 0, 0, 0, 1, 2, 3, 4, 1, 0, 0, 2, 1, 1, 4, 3, 0, 3, 3, 0, 4, 1, 4, 2, 2, 0, 4, 2, 4, 1, 1, 0, 2, 1, 2, 1, 1, 0, 4, 1, 2, 1, 4, 0, 1, 0, 0, 1, 1, 0, 4, 2, 1, 1, 1, 1, 1, 4, 3, 2, 1, 4, 2, 3, 0, 4, 0, 1, 0, 3, 4, 1, 2, 2, 0, 4, 2, 3, 2, 1, 4, 1, 3, 3, 0, 1, 1, 3, 2, 1, 1, 1, 4, 0, 2, 4, 0, 2, 0, 1, 1, 3, 4, 2, 4, 4, 3, 1, 3, 3, 2, 1, 0, 3, 3, 0, 4, 1, 0, 3, 1, 3, 1, 0, 0, 1, 1, 1, 2, 1, 4, 0, 4, 1, 3, 0, 1, 4, 3, 3, 1, 4, 0, 4, 1, 0, 3, 4, 4, 1, 4, 1, 4, 2, 2, 0, 0, 1, 0, 3, 4, 1, 4, 1, 1, 2, 0, 1, 3, 1, 1, 3, 3, 2, 0, 4, 0, 1, 2, 4, 0, 4, 3, 3, 2, 1, 1, 0, 4, 1, 2, 2, 0, 0, 4, 0, 4, 4, 4, 1, 3, 1, 4, 1, 3, 2, 0, 1, 2, 2, 4, 4, 2, 1, 0, 0, 2, 3, 1, 0, 4, 4, 1, 0, 3, 0, 4, 2, 4, 4, 4, 2, 0, 0, 3, 1, 4, 2, 0, 3, 3, 2, 2, 1, 3, 1, 0, 2, 1, 4, 2, 2, 2, 3, 3, 1, 4, 3, 2] pubkeycol872 = [3, 0, 2, 1, 0, 2, 1, 4, 3, 1, 1, 3, 3, 3, 3, 0, 3, 0, 0, 3, 1, 3, 0, 4, 2, 0, 3, 3, 0, 2, 3, 0, 4, 3, 4, 0, 4, 0, 2, 4, 2, 4, 4, 1, 0, 2, 4, 3, 3, 3, 4, 2, 3, 3, 4, 2, 0, 3, 2, 3, 3, 1, 2, 1, 1, 0, 4, 0, 3, 2, 3, 3, 4, 1, 1, 2, 2, 4, 3, 1, 2, 0, 0, 4, 0, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 2, 2, 2, 0, 1, 4, 3, 4, 4, 1, 4, 3, 2, 4, 4, 1, 2, 2, 2, 3, 4, 3, 1, 0, 4, 0, 3, 4, 2, 2, 0, 3, 1, 4, 2, 3, 3, 1, 2, 1, 1, 0, 4, 0, 0, 4, 0, 3, 2, 1, 0, 4, 4, 2, 1, 2, 0, 2, 1, 4, 0, 0, 2, 0, 0, 3, 2, 3, 1, 4, 0, 3, 3, 3, 4, 3, 3, 1, 2, 0, 1, 1, 4, 1, 4, 1, 4, 2, 3, 0, 0, 4, 4, 4, 0, 0, 2, 4, 4, 1, 1, 1, 3, 4, 3, 0, 3, 2, 3, 1, 4, 0, 2, 3, 3, 3, 4, 0, 3, 0, 1, 3, 3, 2, 3, 0, 4, 4, 3, 0, 3, 0, 1, 4, 0, 1, 1, 1, 0, 4, 2, 2, 3, 1, 4, 0, 4, 4, 4, 1, 0, 2, 0, 1, 4, 0, 2, 4, 2, 1, 3, 2, 2, 3, 4, 4, 0, 1, 1, 4, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 3, 3, 2, 4, 2, 2, 3, 3, 1, 3, 3, 2, 1, 1, 4, 0, 4, 1, 4, 4, 1, 1, 2, 1, 0, 0, 1, 3, 3, 2, 4, 1, 1, 4, 4, 4, 2, 3, 3, 2, 2, 3, 4, 4, 2, 4, 3, 2, 3, 0, 2, 4, 3, 1, 4, 2, 3, 2, 3, 4, 0, 0, 0, 1, 0, 2, 1, 4, 0, 1, 4, 3, 2, 0, 4, 1, 4, 0, 3, 0, 2, 4, 2, 1, 1, 3, 1, 4, 4, 0, 2, 3, 1, 1, 2, 1, 2, 0, 4, 3, 2, 2, 0, 1, 3, 3, 4, 3, 2, 2, 4, 2, 1, 2, 1, 4, 4, 2, 2, 1, 0, 1, 2, 1] pubkeycol873 = [3, 3, 3, 2, 4, 2, 0, 3, 1, 2, 0, 1, 4, 1, 4, 3, 2, 3, 1, 0, 2, 0, 3, 1, 3, 0, 0, 3, 0, 4, 2, 4, 3, 0, 1, 2, 4, 2, 0, 4, 2, 4, 0, 4, 1, 4, 2, 2, 1, 1, 2, 0, 0, 4, 1, 4, 0, 3, 0, 4, 0, 4, 1, 0, 3, 4, 1, 4, 3, 3, 3, 0, 1, 3, 2, 2, 2, 1, 0, 4, 1, 3, 3, 3, 4, 0, 0, 3, 2, 3, 3, 4, 1, 0, 2, 4, 1, 1, 1, 2, 2, 0, 2, 1, 3, 0, 2, 2, 4, 0, 0, 4, 3, 0, 4, 0, 4, 1, 1, 2, 3, 0, 2, 1, 1, 4, 0, 1, 3, 1, 3, 4, 4, 1, 4, 0, 4, 2, 4, 2, 0, 0, 3, 0, 0, 1, 2, 1, 1, 0, 0, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 3, 1, 3, 2, 1, 3, 4, 1, 2, 2, 1, 0, 4, 1, 3, 3, 3, 4, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 3, 0, 3, 2, 3, 0, 2, 0, 1, 4, 3, 2, 4, 0, 2, 2, 2, 1, 4, 0, 3, 1, 2, 3, 1, 4, 0, 1, 4, 3, 2, 3, 4, 0, 2, 1, 1, 0, 0, 0, 4, 1, 3, 2, 0, 4, 3, 2, 1, 3, 4, 4, 3, 3, 2, 4, 0, 3, 0, 0, 1, 2, 0, 1, 1, 1, 1, 4, 4, 3, 2, 0, 1, 2, 4, 4, 0, 0, 2, 3, 3, 2, 0, 4, 3, 3, 1, 3, 0, 2, 3, 3, 0, 3, 2, 3, 4, 0, 4, 3, 0, 3, 1, 2, 1, 2, 1, 4, 4, 1, 1, 0, 3, 1, 0, 2, 4, 0, 2, 0, 2, 0, 4, 3, 0, 2, 0, 0, 2, 2, 2, 4, 4, 2, 4, 2, 1, 1, 2, 4, 2, 2, 4, 3, 4, 3, 3, 4, 1, 3, 0, 1, 2, 0, 2, 4, 3, 1, 0, 4, 1, 3, 1, 2, 1, 1, 1, 1, 0, 3, 4, 1, 0, 4, 3, 2, 3, 2, 4, 0, 2, 4, 1, 1, 3, 0, 0, 0, 2, 1, 0, 4, 4, 2, 2, 1, 1, 3, 1, 1, 4, 3, 4, 2, 2] pubkeycol874 = [3, 1, 1, 4, 0, 4, 3, 0, 3, 1, 1, 2, 1, 2, 0, 0, 2, 4, 3, 3, 0, 4, 0, 0, 1, 1, 2, 0, 2, 0, 4, 1, 2, 4, 2, 1, 4, 2, 1, 3, 0, 0, 3, 0, 2, 4, 1, 2, 4, 0, 3, 2, 2, 2, 4, 1, 2, 4, 1, 0, 2, 0, 0, 4, 1, 3, 2, 2, 2, 4, 1, 3, 0, 3, 1, 1, 4, 4, 3, 2, 2, 4, 0, 4, 4, 0, 4, 3, 3, 2, 4, 1, 3, 4, 2, 4, 3, 0, 0, 1, 0, 2, 3, 1, 4, 4, 0, 4, 4, 0, 3, 1, 2, 3, 1, 1, 1, 3, 4, 4, 1, 3, 0, 4, 1, 0, 4, 1, 0, 0, 2, 1, 4, 0, 0, 2, 4, 2, 4, 1, 3, 2, 0, 1, 0, 2, 1, 4, 4, 1, 2, 1, 4, 0, 4, 3, 3, 0, 0, 0, 3, 3, 0, 4, 0, 1, 2, 4, 3, 4, 1, 3, 1, 1, 0, 4, 0, 3, 1, 2, 4, 1, 1, 4, 1, 4, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 3, 2, 1, 1, 4, 2, 2, 3, 1, 3, 3, 1, 0, 2, 1, 1, 2, 1, 2, 1, 3, 4, 3, 4, 4, 2, 3, 3, 2, 4, 0, 3, 2, 0, 4, 0, 3, 2, 1, 4, 0, 3, 4, 1, 2, 0, 3, 2, 3, 3, 2, 0, 2, 4, 3, 4, 2, 2, 3, 3, 4, 0, 3, 0, 0, 2, 1, 4, 2, 2, 4, 4, 3, 0, 0, 1, 1, 3, 2, 4, 0, 2, 3, 0, 3, 3, 4, 4, 2, 1, 0, 4, 4, 1, 2, 1, 4, 3, 1, 2, 0, 2, 4, 1, 3, 2, 3, 4, 1, 4, 2, 2, 4, 1, 1, 3, 1, 2, 0, 4, 0, 4, 0, 3, 4, 3, 0, 4, 0, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 3, 1, 3, 4, 3, 3, 0, 2, 4, 1, 4, 2, 3, 0, 1, 4, 1, 0, 2, 4, 3, 2, 0, 4, 1, 4, 3, 0, 2, 0, 0, 0, 3, 2, 0, 3, 3, 0, 0, 4, 4, 2, 3, 4, 2, 2, 4, 0, 2, 4, 2, 4, 0, 3, 1, 2, 2, 3, 1, 2, 1, 3, 0] pubkeycol875 = [2, 2, 4, 4, 4, 1, 2, 0, 2, 4, 0, 3, 0, 1, 3, 0, 1, 0, 4, 0, 2, 4, 1, 1, 4, 0, 4, 1, 4, 2, 0, 0, 0, 1, 3, 4, 3, 3, 3, 1, 2, 2, 3, 0, 0, 0, 4, 1, 2, 2, 3, 4, 4, 2, 2, 2, 4, 0, 0, 2, 3, 3, 4, 3, 0, 2, 1, 4, 0, 3, 1, 0, 4, 2, 3, 0, 4, 3, 3, 0, 2, 2, 2, 0, 0, 1, 4, 3, 0, 2, 3, 0, 4, 4, 4, 0, 0, 1, 4, 4, 1, 3, 0, 2, 1, 0, 0, 0, 3, 3, 2, 4, 3, 1, 0, 1, 4, 2, 2, 1, 3, 3, 0, 0, 1, 3, 1, 4, 3, 0, 2, 2, 3, 0, 1, 2, 3, 1, 3, 0, 3, 0, 1, 4, 0, 1, 1, 3, 4, 1, 2, 2, 4, 1, 4, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 4, 2, 2, 0, 0, 3, 3, 0, 3, 0, 1, 1, 4, 2, 1, 3, 0, 2, 3, 0, 0, 4, 1, 4, 0, 1, 1, 4, 1, 1, 2, 2, 3, 1, 4, 1, 2, 0, 3, 3, 3, 1, 2, 4, 4, 3, 1, 1, 0, 0, 0, 2, 2, 1, 1, 3, 0, 4, 4, 0, 2, 1, 3, 1, 1, 2, 0, 2, 3, 0, 1, 4, 2, 2, 2, 1, 3, 1, 2, 3, 4, 4, 0, 0, 0, 4, 3, 1, 0, 2, 0, 0, 4, 4, 1, 1, 1, 3, 2, 0, 1, 1, 0, 2, 1, 2, 3, 3, 3, 1, 0, 1, 0, 0, 1, 0, 3, 1, 2, 1, 2, 2, 4, 1, 1, 2, 2, 1, 4, 0, 0, 3, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 3, 2, 3, 0, 2, 0, 4, 1, 3, 1, 3, 0, 4, 4, 1, 3, 2, 2, 3, 2, 3, 4, 0, 3, 0, 3, 4, 2, 4, 3, 1, 0, 2, 2, 1, 3, 1, 2, 0, 0, 0, 4, 4, 4, 2, 4, 3, 3, 0, 3, 0, 1, 2, 3, 0, 3, 4, 2, 3, 3, 1, 0, 0, 2, 0, 3, 2, 0, 4, 4, 4, 0, 0, 4, 4, 1, 4, 1, 1, 1, 1, 1, 1, 3, 2, 3, 2, 4, 4, 0, 3] pubkeycol876 = [4, 0, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 0, 3, 2, 3, 4, 1, 1, 1, 0, 1, 0, 2, 1, 3, 2, 3, 4, 3, 2, 1, 0, 3, 1, 3, 3, 4, 4, 0, 3, 2, 1, 4, 0, 3, 3, 1, 4, 4, 3, 1, 4, 1, 0, 2, 0, 0, 0, 0, 2, 2, 4, 3, 3, 0, 4, 4, 3, 1, 4, 4, 3, 1, 0, 3, 2, 2, 3, 3, 0, 4, 3, 1, 0, 1, 4, 0, 0, 2, 3, 3, 3, 1, 2, 4, 3, 0, 4, 3, 3, 2, 0, 4, 1, 4, 1, 0, 0, 3, 4, 1, 0, 1, 0, 1, 2, 3, 2, 1, 2, 0, 2, 1, 3, 1, 1, 1, 1, 4, 1, 2, 4, 2, 3, 4, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 3, 4, 1, 0, 3, 0, 4, 3, 1, 4, 4, 2, 3, 0, 0, 2, 1, 4, 0, 1, 2, 3, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 4, 0, 1, 1, 3, 2, 2, 3, 0, 3, 4, 3, 3, 0, 0, 4, 2, 2, 4, 1, 1, 0, 2, 0, 3, 2, 4, 4, 3, 1, 4, 0, 4, 1, 1, 1, 4, 3, 3, 4, 4, 2, 2, 1, 0, 0, 4, 2, 2, 2, 3, 3, 0, 1, 2, 3, 1, 3, 3, 1, 2, 2, 4, 4, 4, 2, 1, 1, 4, 3, 3, 2, 2, 2, 2, 2, 4, 3, 4, 0, 3, 0, 1, 4, 2, 0, 3, 4, 1, 1, 4, 0, 2, 1, 3, 2, 3, 1, 0, 4, 0, 3, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 3, 1, 4, 4, 3, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 3, 0, 2, 0, 3, 4, 1, 1, 1, 4, 0, 1, 0, 4, 3, 4, 0, 0, 2, 3, 2, 2, 3, 3, 3, 0, 2, 3, 1, 1, 1, 1, 2, 2, 3, 1, 4, 0, 1, 3, 3, 1, 3, 3, 4, 2, 2, 0, 0, 0, 2, 3, 0, 3, 0, 0, 2, 3, 4, 0, 3, 3, 0, 0, 1, 2, 0, 1, 3, 2, 2, 0, 2, 1, 3, 1, 4, 3, 1, 1, 1, 1, 0, 2] pubkeycol877 = [2, 2, 4, 4, 0, 4, 2, 4, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 4, 1, 4, 4, 3, 2, 3, 1, 4, 2, 0, 0, 1, 4, 1, 0, 2, 1, 4, 4, 2, 3, 2, 0, 3, 0, 1, 4, 2, 1, 3, 1, 1, 0, 4, 4, 2, 1, 1, 4, 4, 0, 2, 2, 1, 3, 0, 4, 1, 4, 4, 1, 3, 3, 3, 4, 3, 2, 0, 2, 2, 0, 4, 0, 4, 2, 2, 4, 2, 3, 3, 0, 0, 3, 2, 4, 0, 0, 1, 3, 1, 2, 2, 1, 4, 2, 4, 1, 1, 3, 3, 0, 0, 1, 3, 2, 0, 0, 3, 1, 1, 3, 1, 0, 1, 3, 2, 2, 0, 0, 1, 2, 1, 4, 2, 3, 1, 1, 1, 3, 2, 3, 4, 1, 1, 1, 0, 4, 1, 2, 4, 0, 0, 2, 1, 0, 3, 0, 1, 4, 1, 1, 0, 3, 2, 2, 0, 2, 0, 0, 4, 1, 4, 0, 0, 3, 4, 3, 2, 3, 2, 1, 0, 3, 3, 1, 2, 2, 3, 0, 3, 3, 2, 0, 1, 3, 2, 3, 2, 0, 2, 3, 3, 4, 4, 1, 2, 1, 1, 4, 1, 4, 4, 1, 3, 4, 0, 0, 3, 2, 3, 2, 3, 1, 4, 1, 1, 3, 1, 3, 4, 1, 1, 4, 2, 4, 4, 0, 2, 1, 1, 0, 2, 4, 2, 1, 2, 0, 0, 2, 3, 2, 1, 1, 4, 1, 3, 3, 4, 0, 0, 0, 2, 1, 2, 4, 2, 3, 4, 1, 2, 1, 1, 4, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 1, 0, 3, 2, 2, 2, 1, 1, 1, 0, 3, 3, 4, 3, 1, 4, 1, 4, 3, 2, 3, 1, 4, 0, 1, 3, 3, 0, 4, 3, 4, 0, 1, 4, 4, 1, 1, 4, 1, 0, 2, 2, 2, 0, 2, 1, 1, 3, 3, 2, 2, 2, 1, 2, 0, 1, 2, 1, 4, 0, 4, 2, 1, 1, 0, 4, 1, 2, 3, 4, 3, 2, 2, 0, 4, 4, 3, 4, 4, 1, 3, 2, 3, 2, 1, 1, 2, 0, 0, 0, 0, 0, 4, 2, 2, 3, 4, 3, 1, 3, 0, 3, 4, 2, 4, 1, 3, 0, 3, 0, 2, 3, 1, 4, 2, 2, 3, 2] pubkeycol878 = [3, 0, 3, 1, 3, 2, 4, 4, 0, 2, 2, 3, 3, 3, 1, 4, 2, 0, 3, 1, 0, 1, 3, 4, 0, 2, 0, 1, 2, 4, 0, 4, 4, 3, 2, 1, 2, 0, 1, 4, 1, 0, 0, 1, 1, 1, 3, 4, 2, 3, 1, 1, 2, 0, 3, 2, 3, 3, 0, 2, 2, 2, 1, 3, 3, 4, 1, 3, 1, 4, 1, 3, 1, 0, 1, 4, 1, 0, 4, 3, 0, 4, 1, 0, 2, 4, 2, 3, 1, 0, 1, 0, 4, 3, 3, 2, 2, 0, 1, 2, 1, 4, 2, 0, 2, 3, 3, 0, 3, 0, 1, 3, 3, 0, 0, 1, 0, 1, 4, 2, 3, 3, 1, 2, 2, 1, 0, 3, 0, 2, 4, 3, 1, 4, 1, 2, 3, 2, 4, 4, 0, 1, 1, 2, 1, 3, 2, 4, 3, 0, 1, 3, 1, 4, 3, 1, 4, 0, 1, 3, 4, 3, 4, 4, 3, 0, 2, 0, 3, 0, 0, 3, 2, 4, 2, 3, 2, 1, 0, 2, 0, 4, 4, 1, 4, 4, 0, 1, 0, 1, 4, 4, 3, 4, 4, 1, 3, 4, 0, 4, 1, 3, 1, 2, 3, 0, 2, 0, 1, 1, 0, 2, 4, 1, 4, 0, 1, 3, 4, 0, 0, 4, 3, 1, 3, 4, 2, 1, 4, 2, 1, 4, 3, 4, 0, 2, 1, 1, 3, 2, 3, 0, 2, 3, 2, 4, 4, 1, 0, 0, 4, 1, 0, 4, 0, 4, 0, 2, 4, 0, 3, 3, 2, 3, 0, 0, 1, 4, 2, 0, 3, 1, 2, 1, 0, 3, 0, 4, 2, 3, 0, 3, 1, 0, 1, 0, 0, 2, 0, 4, 2, 3, 1, 4, 4, 1, 3, 0, 3, 1, 4, 3, 0, 0, 0, 2, 3, 3, 1, 0, 2, 2, 3, 0, 4, 3, 2, 3, 0, 4, 0, 3, 3, 1, 3, 4, 1, 4, 3, 4, 4, 4, 4, 0, 1, 3, 3, 3, 2, 0, 1, 1, 4, 2, 3, 2, 1, 2, 1, 2, 2, 3, 1, 4, 2, 2, 4, 3, 2, 2, 3, 0, 2, 3, 1, 0, 3, 3, 4, 2, 3, 3, 2, 4, 4, 2, 4, 1, 2, 1, 0, 4, 2, 3, 1, 0, 2, 4, 1, 3, 0, 2, 4, 2, 1, 2, 4, 2, 1, 2] pubkeycol879 = [4, 0, 0, 3, 4, 2, 3, 0, 0, 2, 0, 0, 0, 3, 4, 3, 2, 1, 0, 0, 1, 2, 2, 4, 3, 4, 0, 0, 4, 2, 4, 0, 1, 2, 3, 1, 2, 2, 0, 3, 4, 2, 0, 0, 2, 0, 0, 0, 1, 4, 3, 4, 4, 0, 2, 3, 2, 2, 0, 0, 3, 1, 1, 2, 4, 1, 4, 0, 3, 0, 2, 1, 1, 0, 4, 3, 0, 4, 4, 0, 4, 4, 2, 0, 4, 1, 0, 1, 1, 2, 2, 4, 3, 0, 4, 3, 0, 0, 1, 0, 2, 1, 3, 2, 4, 3, 1, 4, 1, 0, 1, 0, 3, 1, 1, 3, 0, 0, 1, 0, 0, 3, 4, 3, 1, 1, 0, 0, 3, 1, 3, 0, 0, 4, 4, 2, 2, 2, 3, 3, 3, 3, 4, 1, 4, 3, 4, 1, 3, 0, 1, 3, 3, 0, 3, 3, 4, 2, 2, 1, 1, 4, 1, 3, 3, 0, 3, 3, 0, 3, 3, 0, 2, 4, 4, 2, 0, 3, 2, 1, 2, 4, 0, 3, 1, 3, 3, 4, 4, 0, 1, 4, 1, 4, 2, 0, 3, 1, 0, 2, 3, 2, 2, 4, 2, 4, 2, 0, 4, 1, 2, 0, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 2, 3, 2, 3, 2, 4, 1, 4, 3, 0, 0, 3, 0, 2, 2, 2, 3, 3, 4, 3, 0, 0, 3, 0, 3, 3, 3, 1, 4, 1, 2, 2, 4, 2, 1, 1, 3, 0, 4, 0, 0, 2, 0, 2, 4, 0, 0, 1, 4, 3, 2, 3, 3, 1, 2, 0, 1, 2, 1, 2, 0, 4, 4, 1, 3, 4, 3, 1, 4, 1, 3, 3, 0, 4, 4, 0, 1, 4, 1, 0, 2, 2, 1, 2, 3, 4, 2, 1, 3, 4, 0, 4, 4, 1, 3, 1, 0, 4, 4, 2, 3, 4, 1, 3, 2, 2, 0, 3, 1, 1, 2, 4, 0, 4, 3, 2, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 2, 4, 2, 2, 3, 2, 1, 0, 3, 4, 1, 0, 2, 4, 0, 0, 2, 0, 4, 3, 4, 1, 3, 3, 0, 3, 2, 4, 1, 4, 0, 0, 4, 4, 2, 1, 4, 2, 2, 1, 4, 3, 4, 3, 2, 3, 3, 3, 3, 1, 0] pubkeycol880 = [2, 1, 0, 2, 4, 3, 1, 2, 4, 4, 0, 4, 3, 2, 4, 3, 4, 4, 4, 0, 3, 3, 3, 3, 1, 1, 4, 4, 4, 3, 2, 1, 1, 4, 3, 1, 2, 1, 1, 3, 4, 0, 4, 1, 4, 1, 2, 0, 2, 4, 1, 1, 4, 0, 2, 0, 0, 1, 2, 0, 4, 2, 0, 3, 4, 0, 4, 1, 2, 1, 3, 1, 3, 2, 4, 1, 1, 0, 4, 0, 4, 2, 4, 3, 1, 4, 2, 4, 0, 2, 2, 3, 2, 1, 1, 0, 4, 0, 4, 3, 3, 4, 0, 1, 0, 4, 4, 4, 2, 1, 4, 1, 2, 0, 3, 4, 4, 3, 4, 2, 2, 0, 3, 0, 4, 2, 1, 3, 3, 2, 2, 1, 2, 0, 0, 4, 0, 2, 2, 2, 2, 2, 0, 2, 4, 2, 3, 0, 3, 0, 1, 2, 1, 0, 2, 1, 4, 1, 4, 4, 0, 4, 2, 2, 4, 0, 3, 0, 4, 0, 0, 4, 2, 0, 1, 4, 3, 3, 0, 4, 4, 4, 3, 2, 1, 2, 0, 1, 2, 4, 4, 4, 2, 0, 2, 4, 1, 4, 1, 3, 0, 0, 1, 2, 4, 2, 1, 0, 0, 2, 0, 4, 4, 2, 1, 0, 4, 1, 2, 0, 2, 2, 1, 2, 3, 3, 4, 0, 1, 1, 1, 2, 3, 0, 4, 1, 4, 2, 0, 2, 0, 3, 0, 0, 4, 3, 4, 1, 1, 1, 4, 3, 2, 0, 1, 2, 1, 1, 3, 4, 2, 1, 0, 3, 1, 4, 4, 0, 3, 1, 3, 1, 1, 3, 3, 1, 3, 1, 3, 4, 3, 0, 3, 2, 1, 2, 4, 3, 1, 4, 4, 3, 0, 1, 0, 4, 0, 1, 4, 0, 0, 0, 1, 4, 3, 1, 3, 3, 1, 4, 1, 4, 0, 4, 4, 4, 4, 0, 3, 0, 1, 2, 3, 2, 0, 1, 2, 1, 4, 4, 2, 2, 1, 3, 1, 4, 4, 3, 3, 0, 0, 1, 4, 0, 0, 1, 0, 0, 3, 2, 4, 2, 2, 0, 1, 3, 0, 1, 3, 0, 0, 1, 0, 2, 4, 3, 3, 1, 1, 2, 4, 0, 4, 0, 1, 3, 2, 0, 1, 1, 0, 3, 3, 4, 0, 0, 2, 1, 2, 0, 2, 4, 0, 3, 4, 1, 0, 3, 3, 2] pubkeycol881 = [0, 4, 3, 0, 1, 4, 0, 2, 4, 3, 4, 4, 0, 1, 3, 4, 3, 4, 4, 2, 3, 1, 2, 4, 4, 3, 3, 2, 0, 4, 1, 3, 0, 1, 1, 4, 2, 2, 0, 3, 3, 4, 2, 1, 1, 4, 2, 4, 4, 0, 3, 3, 4, 4, 4, 0, 4, 0, 3, 3, 0, 3, 4, 3, 4, 3, 1, 1, 2, 0, 3, 2, 0, 1, 0, 3, 0, 0, 4, 2, 0, 0, 2, 2, 4, 4, 1, 2, 0, 3, 3, 0, 1, 2, 0, 2, 1, 1, 4, 4, 1, 1, 2, 3, 1, 4, 3, 2, 3, 1, 1, 4, 3, 4, 4, 4, 3, 3, 3, 4, 2, 4, 2, 4, 3, 1, 2, 0, 0, 1, 0, 2, 3, 1, 3, 0, 2, 3, 4, 3, 1, 2, 2, 0, 4, 2, 1, 3, 2, 1, 0, 3, 2, 1, 2, 0, 0, 4, 2, 3, 3, 3, 3, 3, 1, 0, 3, 3, 0, 4, 0, 3, 4, 4, 0, 2, 1, 2, 0, 0, 0, 4, 3, 4, 2, 1, 4, 3, 1, 4, 0, 3, 2, 0, 4, 2, 0, 2, 0, 0, 2, 3, 1, 0, 0, 4, 3, 2, 3, 0, 1, 4, 0, 3, 3, 3, 2, 3, 4, 2, 3, 4, 4, 3, 2, 2, 1, 3, 1, 0, 2, 4, 4, 1, 0, 4, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 4, 4, 2, 0, 1, 1, 2, 2, 4, 4, 3, 1, 1, 0, 3, 2, 1, 4, 4, 0, 4, 4, 2, 4, 1, 2, 2, 1, 3, 4, 3, 1, 2, 1, 1, 2, 2, 4, 4, 4, 3, 2, 2, 4, 2, 2, 1, 0, 1, 2, 3, 1, 4, 0, 3, 3, 4, 1, 0, 2, 3, 0, 4, 3, 2, 0, 3, 1, 0, 3, 1, 1, 1, 2, 1, 0, 3, 0, 4, 1, 3, 4, 3, 3, 2, 2, 2, 3, 2, 0, 4, 4, 0, 0, 1, 3, 4, 0, 4, 1, 1, 0, 0, 4, 3, 4, 4, 1, 1, 2, 3, 3, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 3, 1, 0, 4, 0, 2, 2, 0, 3, 1, 2, 1, 1, 0, 2, 0, 3, 2, 3, 2, 1] pubkeycol882 = [0, 1, 0, 3, 2, 2, 3, 4, 2, 1, 4, 0, 3, 0, 3, 2, 3, 4, 3, 2, 2, 4, 4, 0, 1, 3, 4, 1, 1, 3, 1, 2, 4, 4, 0, 1, 3, 2, 4, 4, 3, 0, 4, 3, 3, 1, 3, 3, 0, 3, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 4, 2, 4, 3, 0, 2, 4, 1, 2, 4, 0, 1, 1, 2, 3, 0, 0, 0, 3, 2, 1, 4, 2, 0, 3, 1, 3, 4, 0, 1, 0, 3, 0, 1, 0, 2, 1, 3, 0, 3, 3, 0, 0, 3, 4, 4, 1, 0, 4, 1, 0, 4, 3, 1, 2, 4, 1, 1, 3, 3, 0, 4, 2, 3, 3, 1, 1, 4, 4, 4, 0, 3, 3, 0, 2, 4, 4, 0, 0, 1, 0, 3, 4, 4, 1, 1, 3, 4, 3, 2, 0, 4, 0, 1, 3, 2, 2, 4, 3, 1, 1, 0, 3, 2, 4, 1, 0, 1, 0, 0, 0, 2, 3, 1, 0, 2, 3, 1, 0, 4, 2, 4, 0, 3, 4, 2, 1, 3, 4, 1, 4, 2, 0, 4, 4, 1, 4, 4, 1, 2, 3, 1, 0, 0, 2, 3, 4, 2, 0, 2, 3, 3, 4, 3, 1, 4, 4, 0, 4, 2, 4, 3, 3, 4, 4, 3, 0, 3, 1, 0, 1, 4, 1, 2, 2, 4, 2, 2, 1, 1, 3, 4, 2, 3, 3, 3, 1, 2, 1, 1, 1, 4, 1, 3, 1, 1, 0, 1, 2, 4, 0, 1, 4, 2, 2, 4, 0, 3, 2, 1, 2, 0, 4, 4, 1, 4, 3, 0, 0, 1, 3, 3, 4, 3, 4, 3, 3, 4, 2, 2, 0, 3, 2, 0, 2, 4, 2, 3, 4, 2, 2, 0, 3, 0, 1, 2, 2, 0, 3, 4, 4, 3, 1, 4, 0, 4, 2, 4, 4, 2, 4, 0, 3, 0, 3, 3, 0, 1, 0, 4, 0, 0, 3, 0, 4, 2, 1, 0, 2, 2, 4, 4, 1, 0, 3, 1, 2, 0, 0, 3, 3, 4, 3, 3, 0, 3, 2, 2, 2, 4, 2, 3, 2, 0, 0, 4, 4, 0, 3, 1, 2, 4, 1, 2, 2, 0, 4, 1, 0, 3, 3, 1, 1, 4, 2, 0, 2, 1, 1, 1, 2, 0, 1, 3, 3, 0, 3, 3] pubkeycol883 = [0, 0, 3, 2, 4, 3, 3, 0, 2, 2, 2, 3, 3, 4, 4, 3, 1, 3, 3, 1, 3, 1, 2, 0, 0, 1, 4, 1, 1, 4, 4, 1, 3, 0, 0, 0, 2, 0, 2, 0, 0, 0, 3, 1, 1, 2, 0, 3, 3, 4, 2, 0, 4, 2, 2, 3, 2, 1, 3, 4, 1, 1, 0, 2, 3, 4, 1, 2, 2, 0, 1, 1, 0, 1, 0, 4, 4, 0, 0, 4, 2, 2, 4, 2, 1, 4, 1, 0, 4, 2, 0, 2, 4, 3, 4, 0, 1, 1, 1, 4, 1, 0, 0, 0, 3, 0, 2, 4, 2, 2, 1, 1, 2, 0, 2, 1, 4, 2, 4, 4, 2, 1, 3, 0, 0, 0, 4, 1, 3, 0, 0, 2, 2, 2, 4, 3, 1, 3, 0, 3, 2, 1, 2, 4, 1, 3, 1, 3, 2, 0, 3, 0, 1, 3, 2, 1, 0, 3, 2, 1, 2, 2, 4, 2, 0, 1, 0, 0, 3, 0, 1, 2, 3, 2, 1, 1, 0, 1, 3, 2, 4, 1, 1, 4, 1, 3, 2, 3, 0, 0, 0, 3, 3, 1, 1, 3, 4, 0, 2, 3, 1, 2, 0, 4, 2, 0, 3, 3, 3, 4, 1, 0, 4, 3, 0, 4, 3, 0, 2, 4, 0, 2, 4, 1, 3, 3, 1, 2, 1, 1, 1, 2, 2, 1, 3, 3, 3, 1, 0, 1, 4, 2, 0, 2, 1, 3, 4, 0, 0, 0, 2, 4, 1, 0, 4, 0, 0, 0, 1, 1, 1, 0, 4, 2, 4, 3, 2, 4, 1, 2, 0, 3, 1, 3, 4, 1, 4, 2, 0, 1, 3, 0, 3, 1, 3, 2, 0, 4, 2, 0, 4, 3, 3, 0, 4, 2, 3, 1, 1, 3, 2, 3, 3, 1, 1, 4, 3, 2, 1, 4, 0, 2, 1, 3, 2, 0, 0, 0, 4, 4, 1, 0, 1, 2, 0, 1, 3, 0, 1, 4, 1, 1, 3, 0, 0, 0, 2, 1, 4, 3, 1, 4, 0, 4, 3, 2, 4, 0, 3, 2, 1, 4, 3, 2, 2, 1, 4, 3, 3, 3, 3, 1, 1, 0, 0, 2, 1, 1, 4, 1, 1, 2, 4, 2, 1, 0, 2, 2, 3, 4, 2, 2, 1, 2, 2, 0, 4, 3, 2, 0, 1, 2, 1, 0, 4, 0, 1, 1, 0, 0] pubkeycol884 = [1, 1, 1, 4, 2, 4, 4, 2, 3, 2, 0, 4, 4, 3, 0, 2, 4, 1, 3, 0, 1, 2, 0, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 1, 3, 1, 1, 2, 3, 4, 1, 1, 4, 1, 2, 1, 4, 1, 4, 2, 4, 0, 4, 1, 1, 2, 1, 1, 0, 3, 4, 3, 4, 1, 3, 2, 3, 0, 3, 0, 0, 0, 2, 0, 3, 1, 0, 3, 1, 3, 2, 1, 2, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 3, 0, 0, 3, 1, 1, 2, 0, 4, 1, 0, 1, 0, 1, 1, 4, 1, 1, 3, 0, 3, 4, 1, 0, 0, 0, 2, 0, 2, 2, 2, 3, 0, 2, 1, 1, 3, 0, 3, 3, 2, 1, 3, 0, 0, 3, 1, 2, 2, 3, 3, 1, 1, 2, 0, 2, 0, 0, 3, 3, 4, 0, 1, 2, 3, 4, 3, 4, 4, 3, 4, 4, 2, 0, 3, 1, 0, 4, 0, 1, 3, 4, 4, 1, 3, 3, 4, 3, 3, 0, 3, 2, 2, 2, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 2, 2, 4, 2, 4, 4, 3, 1, 0, 0, 4, 1, 4, 3, 3, 3, 4, 0, 4, 1, 1, 4, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 1, 4, 4, 4, 1, 1, 0, 4, 4, 1, 4, 1, 3, 2, 3, 4, 2, 0, 4, 0, 4, 1, 0, 0, 4, 3, 3, 3, 4, 3, 1, 1, 0, 2, 4, 3, 1, 3, 4, 3, 2, 3, 1, 2, 1, 4, 3, 2, 3, 0, 1, 2, 4, 1, 1, 0, 2, 4, 4, 3, 1, 2, 4, 2, 2, 4, 4, 2, 0, 2, 4, 1, 3, 0, 0, 0, 0, 2, 2, 4, 0, 3, 2, 0, 4, 2, 1, 0, 1, 1, 1, 4, 3, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 3, 0, 3, 4, 4, 1, 3, 4, 0, 1, 4, 3, 4, 4, 1, 0, 2, 1, 4, 0, 0, 4, 1, 3, 1, 3, 3, 0, 2, 4, 1, 4, 0, 2, 0, 3, 1, 1, 3, 3, 3, 0, 4, 3, 0, 4, 3, 2, 4, 0, 2, 1, 4, 1, 1, 4, 1, 2, 2, 0, 0, 3, 0, 3, 1, 2] pubkeycol885 = [4, 0, 0, 4, 0, 2, 2, 0, 4, 3, 0, 2, 4, 1, 2, 4, 0, 3, 2, 4, 4, 0, 2, 0, 2, 1, 2, 3, 2, 3, 4, 2, 0, 3, 2, 2, 3, 0, 0, 4, 3, 3, 0, 2, 0, 0, 4, 3, 1, 2, 1, 0, 2, 2, 2, 4, 0, 0, 2, 3, 0, 0, 1, 1, 2, 3, 0, 2, 3, 2, 0, 2, 4, 1, 1, 2, 1, 0, 2, 1, 3, 2, 1, 0, 0, 0, 4, 2, 2, 2, 2, 0, 3, 1, 1, 1, 2, 4, 1, 4, 4, 2, 2, 0, 0, 3, 2, 2, 2, 1, 2, 1, 0, 4, 2, 3, 4, 2, 1, 2, 3, 0, 0, 2, 2, 0, 3, 0, 4, 1, 4, 1, 0, 4, 1, 2, 3, 3, 4, 3, 4, 3, 0, 4, 3, 2, 2, 1, 1, 0, 1, 1, 0, 3, 1, 4, 4, 3, 2, 3, 0, 4, 1, 4, 1, 1, 3, 4, 1, 2, 4, 0, 1, 0, 3, 3, 1, 2, 2, 3, 1, 3, 0, 1, 4, 0, 0, 1, 4, 4, 0, 2, 0, 1, 4, 2, 2, 0, 3, 0, 0, 1, 2, 2, 2, 2, 1, 1, 3, 0, 1, 0, 2, 3, 1, 4, 2, 2, 2, 0, 2, 3, 4, 0, 1, 4, 0, 1, 2, 4, 1, 2, 4, 3, 1, 0, 0, 2, 0, 0, 3, 0, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 2, 4, 1, 2, 3, 0, 3, 0, 1, 2, 4, 2, 1, 2, 3, 0, 2, 4, 3, 2, 2, 3, 0, 2, 1, 1, 4, 2, 0, 0, 1, 0, 3, 2, 1, 3, 4, 4, 4, 2, 1, 2, 1, 1, 4, 1, 0, 3, 4, 0, 4, 0, 1, 2, 1, 1, 2, 1, 4, 1, 2, 1, 0, 0, 4, 0, 2, 4, 0, 2, 1, 3, 3, 0, 2, 2, 1, 2, 0, 4, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 0, 4, 0, 2, 1, 4, 3, 1, 3, 3, 0, 3, 0, 4, 3, 4, 4, 3, 0, 2, 2, 2, 0, 3, 4, 4, 1, 3, 3, 1, 4, 4, 1, 1, 3, 4, 2, 4, 2, 0, 4, 2, 1, 1, 2, 2, 2, 2, 3, 0, 1, 0, 0, 0, 3, 3, 1, 4] pubkeycol886 = [3, 0, 3, 4, 3, 0, 3, 4, 4, 3, 4, 2, 2, 0, 1, 2, 1, 2, 4, 3, 0, 4, 0, 3, 4, 3, 2, 4, 2, 4, 3, 0, 3, 4, 0, 0, 4, 2, 1, 2, 1, 2, 2, 4, 3, 2, 3, 1, 0, 1, 3, 0, 3, 4, 0, 3, 3, 4, 3, 0, 3, 2, 4, 0, 3, 3, 3, 0, 2, 4, 4, 4, 3, 1, 3, 1, 1, 3, 1, 2, 1, 1, 2, 4, 1, 0, 0, 3, 2, 3, 4, 2, 4, 1, 1, 4, 3, 3, 2, 1, 0, 2, 3, 2, 3, 3, 2, 1, 3, 3, 2, 3, 1, 4, 0, 2, 2, 1, 1, 0, 2, 0, 2, 4, 4, 4, 0, 2, 3, 4, 4, 2, 4, 1, 3, 4, 3, 0, 1, 3, 1, 3, 4, 3, 2, 1, 4, 2, 2, 2, 3, 2, 2, 0, 0, 1, 2, 0, 0, 0, 3, 1, 3, 1, 3, 4, 4, 2, 0, 2, 2, 3, 0, 4, 2, 0, 2, 4, 0, 0, 0, 1, 3, 1, 2, 4, 2, 1, 3, 4, 4, 3, 0, 1, 1, 2, 3, 3, 1, 4, 1, 4, 1, 0, 3, 0, 2, 2, 4, 1, 3, 1, 1, 3, 1, 2, 3, 3, 0, 0, 1, 0, 0, 4, 3, 4, 4, 0, 2, 1, 3, 0, 3, 1, 0, 3, 3, 0, 3, 0, 3, 4, 0, 2, 0, 4, 3, 3, 1, 1, 3, 0, 0, 0, 3, 3, 1, 4, 4, 3, 0, 2, 0, 0, 2, 2, 1, 0, 3, 3, 1, 4, 2, 4, 1, 1, 2, 2, 2, 4, 3, 1, 1, 1, 1, 4, 0, 0, 0, 0, 2, 4, 4, 2, 2, 3, 3, 2, 3, 3, 3, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 4, 0, 1, 2, 2, 1, 3, 2, 4, 0, 0, 4, 2, 4, 2, 3, 4, 0, 1, 4, 2, 4, 2, 1, 2, 3, 4, 4, 4, 2, 3, 4, 4, 0, 2, 3, 0, 2, 1, 1, 1, 1, 1, 3, 4, 4, 3, 2, 4, 3, 1, 4, 1, 4, 3, 2, 1, 4, 4, 0, 1, 1, 2, 1, 0, 1, 2, 3, 1, 0, 2, 3, 3, 4, 0, 2, 2, 1, 4, 3, 0, 1, 4, 3, 2, 0, 1] pubkeycol887 = [0, 2, 3, 3, 1, 2, 3, 2, 3, 4, 0, 0, 2, 1, 3, 1, 0, 0, 3, 4, 4, 4, 1, 4, 2, 0, 4, 1, 1, 2, 1, 1, 4, 0, 0, 3, 3, 3, 2, 1, 1, 3, 0, 2, 2, 4, 4, 0, 1, 3, 1, 3, 1, 0, 1, 3, 0, 0, 2, 2, 2, 2, 0, 4, 3, 0, 0, 0, 3, 4, 4, 0, 2, 2, 2, 1, 4, 3, 4, 1, 1, 0, 1, 0, 1, 4, 2, 1, 1, 0, 0, 0, 0, 3, 1, 1, 0, 4, 3, 0, 3, 2, 3, 2, 3, 4, 0, 2, 1, 4, 1, 2, 4, 4, 3, 3, 0, 2, 4, 2, 4, 3, 0, 4, 3, 4, 4, 3, 1, 2, 0, 3, 2, 2, 4, 3, 0, 0, 2, 1, 4, 0, 2, 4, 0, 2, 3, 0, 2, 2, 1, 4, 0, 2, 2, 3, 4, 3, 3, 4, 4, 2, 3, 2, 1, 4, 1, 2, 0, 1, 4, 1, 3, 4, 1, 0, 0, 0, 4, 1, 2, 1, 0, 3, 3, 4, 1, 2, 4, 0, 0, 1, 3, 4, 1, 0, 4, 0, 0, 1, 1, 3, 0, 3, 3, 0, 1, 1, 2, 2, 0, 4, 2, 1, 4, 2, 1, 1, 0, 4, 4, 4, 2, 2, 4, 0, 0, 0, 3, 1, 0, 1, 4, 3, 3, 2, 3, 4, 2, 2, 2, 2, 2, 0, 2, 4, 0, 0, 2, 0, 3, 1, 2, 3, 3, 4, 2, 2, 3, 1, 1, 2, 4, 4, 3, 2, 3, 2, 3, 3, 0, 3, 1, 3, 0, 1, 4, 3, 3, 0, 1, 2, 1, 4, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 4, 3, 4, 3, 4, 4, 1, 3, 3, 0, 2, 0, 1, 4, 3, 0, 1, 2, 4, 4, 4, 1, 2, 4, 1, 0, 1, 1, 2, 0, 1, 4, 4, 2, 4, 1, 2, 0, 1, 3, 3, 0, 1, 2, 0, 3, 2, 3, 4, 1, 1, 0, 0, 1, 4, 3, 3, 2, 2, 1, 0, 3, 3, 1, 0, 2, 2, 0, 2, 0, 3, 0, 3, 2, 2, 0, 0, 0, 3, 2, 1, 1, 3, 3, 4, 0, 3, 0, 4, 4, 4, 0, 1, 3, 3, 3, 4, 1, 3, 3, 1, 2] pubkeycol888 = [4, 1, 4, 1, 4, 0, 0, 1, 0, 3, 4, 0, 3, 1, 3, 4, 4, 1, 4, 4, 4, 2, 3, 1, 4, 1, 1, 0, 4, 2, 2, 1, 3, 3, 3, 2, 0, 0, 3, 0, 4, 2, 4, 4, 4, 3, 4, 4, 3, 3, 2, 1, 4, 2, 0, 0, 3, 4, 0, 1, 4, 2, 3, 3, 3, 4, 3, 3, 0, 1, 1, 4, 2, 0, 2, 4, 1, 3, 0, 4, 1, 4, 0, 2, 2, 2, 1, 3, 4, 0, 2, 1, 2, 3, 3, 3, 2, 0, 2, 2, 2, 4, 0, 4, 4, 1, 3, 2, 0, 1, 2, 4, 1, 4, 4, 4, 4, 3, 0, 4, 3, 0, 2, 2, 3, 2, 2, 4, 0, 0, 0, 4, 0, 0, 3, 4, 2, 4, 3, 3, 2, 1, 0, 4, 2, 2, 1, 1, 4, 4, 4, 1, 0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 2, 4, 2, 3, 2, 1, 2, 4, 4, 4, 3, 3, 3, 1, 3, 4, 0, 3, 0, 1, 2, 4, 1, 0, 0, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 0, 4, 2, 2, 2, 1, 0, 2, 3, 4, 0, 2, 2, 3, 4, 0, 2, 3, 2, 0, 3, 4, 3, 4, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 0, 3, 2, 0, 3, 0, 4, 0, 1, 0, 3, 3, 2, 0, 4, 2, 4, 1, 2, 0, 0, 0, 3, 2, 1, 3, 3, 3, 4, 2, 3, 4, 3, 1, 1, 3, 3, 1, 4, 0, 4, 1, 4, 0, 2, 1, 2, 4, 2, 0, 0, 4, 2, 0, 4, 0, 2, 2, 3, 1, 2, 0, 2, 0, 3, 1, 4, 0, 3, 3, 3, 3, 2, 3, 2, 3, 0, 1, 4, 0, 1, 1, 4, 0, 2, 1, 0, 3, 4, 0, 4, 4, 2, 0, 1, 1, 1, 4, 1, 2, 3, 3, 2, 1, 4, 4, 0, 0, 1, 0, 1, 3, 3, 0, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 3, 3, 1, 3, 3, 2, 0, 1, 4, 0, 3, 2, 3, 0, 0, 1, 3, 0, 0, 0, 1, 4, 2, 4, 1, 3, 2, 0, 3, 0, 4, 0, 4, 2, 1, 3, 2, 4] pubkeycol889 = [2, 1, 3, 3, 4, 3, 0, 1, 3, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 3, 2, 4, 3, 1, 3, 3, 2, 1, 4, 0, 3, 2, 1, 3, 2, 2, 2, 2, 2, 4, 2, 3, 3, 2, 0, 3, 0, 2, 3, 3, 1, 3, 0, 0, 4, 1, 3, 4, 4, 4, 2, 3, 3, 1, 0, 3, 2, 0, 3, 4, 4, 0, 4, 3, 4, 2, 4, 2, 3, 3, 4, 1, 3, 2, 4, 4, 0, 0, 0, 2, 1, 2, 2, 3, 4, 3, 4, 4, 3, 4, 4, 3, 2, 0, 2, 4, 4, 4, 2, 4, 2, 1, 4, 4, 0, 4, 2, 0, 4, 4, 3, 0, 2, 4, 2, 1, 3, 1, 1, 0, 1, 4, 0, 4, 0, 3, 4, 4, 2, 1, 3, 1, 4, 2, 4, 1, 4, 2, 3, 3, 1, 3, 1, 4, 2, 1, 4, 3, 1, 2, 2, 1, 4, 1, 3, 2, 1, 3, 0, 4, 4, 2, 0, 4, 0, 2, 1, 3, 2, 4, 2, 4, 4, 2, 4, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 0, 1, 3, 0, 1, 3, 1, 3, 0, 3, 4, 4, 1, 2, 4, 4, 1, 1, 1, 4, 4, 3, 3, 3, 0, 3, 0, 3, 1, 1, 1, 0, 4, 0, 2, 0, 0, 3, 0, 1, 1, 4, 1, 3, 3, 4, 4, 3, 1, 0, 4, 4, 2, 0, 4, 2, 3, 1, 4, 3, 0, 4, 4, 0, 2, 1, 0, 0, 3, 3, 2, 3, 1, 0, 1, 3, 3, 0, 2, 1, 4, 3, 2, 1, 0, 2, 0, 3, 3, 1, 0, 2, 1, 1, 1, 4, 0, 1, 2, 3, 1, 4, 3, 1, 0, 2, 2, 3, 2, 4, 2, 3, 4, 3, 2, 3, 1, 1, 1, 1, 0, 1, 2, 2, 3, 3, 3, 2, 0, 4, 2, 0, 2, 0, 1, 4, 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 4, 4, 3, 2, 1, 1, 4, 4, 3, 4, 3, 3, 1, 4, 1, 3, 2, 4, 2, 3, 1, 0, 1, 3, 0, 0, 1, 4, 1, 1, 2, 4, 2, 0, 4, 0, 1, 0, 1, 0, 0, 3, 3, 3, 3, 1, 4, 4, 2, 3, 3, 3, 3, 0, 0, 3] pubkeycol890 = [0, 4, 4, 1, 0, 3, 1, 2, 1, 2, 4, 3, 2, 0, 2, 2, 0, 2, 2, 2, 3, 2, 3, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 3, 0, 0, 3, 4, 4, 4, 3, 3, 4, 0, 0, 3, 3, 0, 2, 4, 0, 4, 0, 3, 3, 0, 4, 3, 4, 0, 1, 1, 3, 0, 4, 4, 1, 2, 2, 4, 4, 0, 3, 1, 1, 2, 0, 1, 4, 3, 2, 0, 0, 4, 2, 0, 4, 0, 4, 1, 4, 1, 3, 2, 3, 0, 2, 2, 2, 0, 4, 3, 1, 1, 4, 1, 2, 0, 0, 3, 0, 0, 4, 4, 1, 0, 0, 2, 4, 2, 2, 1, 0, 0, 2, 3, 1, 1, 0, 0, 3, 4, 2, 4, 1, 0, 0, 1, 1, 3, 4, 4, 4, 2, 4, 3, 2, 1, 1, 4, 0, 4, 1, 3, 0, 2, 1, 3, 1, 3, 4, 0, 2, 3, 4, 0, 1, 3, 1, 0, 2, 0, 1, 0, 3, 3, 2, 2, 1, 4, 0, 1, 4, 4, 4, 3, 4, 3, 1, 4, 2, 0, 4, 4, 1, 3, 4, 1, 4, 0, 0, 0, 2, 0, 1, 3, 3, 4, 4, 0, 3, 0, 1, 3, 1, 1, 2, 2, 3, 0, 1, 0, 1, 4, 3, 0, 0, 3, 2, 1, 1, 1, 2, 3, 1, 1, 0, 4, 0, 4, 2, 3, 2, 0, 3, 3, 3, 4, 0, 1, 2, 2, 4, 0, 1, 4, 4, 4, 3, 0, 3, 1, 3, 3, 1, 4, 1, 0, 0, 0, 2, 4, 0, 0, 1, 1, 0, 0, 0, 1, 4, 1, 3, 0, 3, 0, 0, 2, 4, 1, 4, 1, 2, 4, 4, 0, 2, 0, 4, 2, 2, 3, 0, 3, 3, 2, 0, 1, 2, 0, 1, 3, 4, 2, 4, 0, 2, 0, 2, 2, 3, 4, 3, 0, 4, 3, 3, 1, 0, 3, 0, 1, 1, 0, 3, 4, 4, 4, 2, 1, 4, 4, 1, 1, 1, 4, 3, 2, 2, 0, 4, 1, 3, 4, 1, 4, 1, 0, 3, 3, 4, 1, 3, 3, 0, 4, 1, 4, 4, 4, 2, 3, 0, 2, 3, 1, 4, 2, 1, 1, 0, 4, 4, 3, 2, 0, 2, 2, 3, 0, 4, 4, 4, 1, 2, 0, 2, 3, 1, 3] pubkeycol891 = [1, 3, 1, 0, 4, 2, 3, 3, 3, 2, 2, 0, 2, 4, 2, 0, 2, 2, 0, 4, 4, 4, 0, 2, 4, 3, 4, 3, 3, 4, 1, 0, 1, 4, 1, 2, 1, 2, 0, 3, 4, 4, 4, 0, 3, 1, 4, 2, 0, 1, 3, 1, 1, 3, 0, 4, 3, 1, 3, 2, 4, 3, 4, 1, 3, 0, 1, 1, 0, 4, 4, 4, 2, 1, 1, 3, 1, 0, 3, 4, 4, 4, 0, 4, 2, 4, 4, 4, 4, 3, 2, 2, 4, 0, 4, 0, 0, 1, 1, 2, 2, 4, 4, 0, 2, 2, 3, 0, 0, 3, 3, 4, 1, 1, 3, 1, 3, 2, 2, 0, 0, 4, 1, 1, 1, 3, 2, 1, 0, 0, 1, 0, 3, 2, 4, 0, 0, 2, 0, 3, 3, 2, 0, 2, 0, 3, 1, 3, 2, 4, 4, 1, 4, 1, 3, 1, 4, 3, 4, 2, 2, 0, 4, 1, 0, 4, 2, 4, 0, 0, 1, 0, 1, 3, 0, 1, 2, 3, 2, 2, 2, 2, 0, 1, 0, 1, 0, 3, 0, 0, 0, 2, 4, 3, 4, 1, 2, 3, 1, 4, 4, 1, 0, 2, 2, 4, 1, 2, 2, 0, 3, 3, 1, 4, 1, 4, 4, 3, 2, 3, 3, 2, 2, 4, 2, 2, 2, 4, 0, 3, 1, 0, 1, 2, 3, 4, 0, 0, 4, 4, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 3, 3, 4, 2, 0, 1, 4, 1, 4, 0, 2, 2, 1, 1, 4, 4, 4, 4, 2, 3, 0, 3, 4, 2, 3, 0, 1, 3, 3, 4, 3, 0, 1, 3, 4, 3, 3, 1, 1, 0, 2, 4, 1, 3, 4, 3, 3, 0, 2, 4, 4, 2, 3, 2, 0, 4, 4, 4, 1, 2, 2, 2, 3, 4, 2, 0, 3, 4, 4, 4, 3, 4, 0, 1, 0, 0, 1, 3, 3, 2, 4, 3, 4, 4, 2, 0, 1, 1, 1, 3, 3, 1, 4, 0, 3, 2, 2, 4, 3, 0, 0, 1, 0, 0, 4, 2, 2, 1, 4, 4, 1, 1, 0, 1, 4, 4, 0, 1, 4, 3, 3, 3, 1, 3, 4, 1, 2, 0, 1, 3, 3, 1, 3, 3, 4, 2, 1, 2, 2, 4, 2, 4, 4, 3, 0, 1] pubkeycol892 = [4, 4, 3, 3, 2, 4, 1, 4, 0, 4, 0, 0, 1, 2, 1, 2, 3, 2, 3, 4, 4, 3, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 3, 0, 2, 1, 0, 4, 4, 0, 3, 0, 1, 1, 3, 0, 2, 3, 4, 4, 3, 3, 2, 4, 3, 4, 0, 3, 4, 2, 1, 3, 0, 4, 0, 2, 2, 3, 3, 0, 2, 3, 3, 4, 2, 1, 1, 1, 3, 0, 1, 4, 2, 2, 2, 4, 2, 0, 1, 1, 1, 1, 4, 0, 2, 1, 2, 3, 0, 0, 2, 4, 4, 0, 0, 1, 0, 2, 3, 2, 0, 2, 3, 2, 1, 4, 4, 4, 3, 2, 1, 3, 4, 4, 4, 4, 2, 0, 4, 3, 4, 1, 0, 0, 0, 0, 1, 4, 0, 3, 3, 0, 0, 0, 0, 0, 4, 2, 2, 2, 4, 3, 0, 1, 2, 0, 1, 2, 4, 1, 2, 1, 3, 2, 1, 1, 4, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 4, 3, 4, 0, 3, 1, 2, 4, 0, 3, 4, 4, 1, 4, 0, 0, 3, 0, 3, 0, 0, 1, 3, 1, 3, 4, 3, 0, 4, 2, 2, 0, 2, 1, 3, 0, 2, 1, 4, 2, 4, 3, 3, 0, 2, 2, 2, 0, 3, 1, 1, 4, 0, 4, 2, 2, 4, 4, 3, 4, 1, 0, 4, 2, 1, 2, 2, 4, 3, 3, 3, 3, 2, 4, 1, 4, 2, 4, 3, 0, 3, 1, 2, 3, 3, 2, 4, 1, 4, 2, 4, 1, 3, 4, 0, 3, 4, 4, 3, 3, 0, 3, 3, 2, 4, 4, 4, 0, 1, 3, 3, 0, 4, 4, 0, 1, 4, 3, 3, 3, 0, 4, 1, 3, 0, 4, 0, 3, 4, 4, 2, 0, 0, 4, 3, 4, 4, 4, 1, 0, 3, 4, 0, 4, 1, 1, 3, 4, 4, 4, 3, 1, 4, 4, 3, 1, 3, 2, 4, 2, 0, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 4, 1, 1, 2, 2, 2, 1, 3, 0, 4, 3, 1, 4, 4, 3, 3, 2, 2, 2, 4, 4, 2, 4, 2, 3, 1, 0, 1, 0, 0, 2, 4, 2, 3, 1, 4, 2, 0, 0, 1, 1, 1, 4, 1, 0, 1, 1, 3, 2] pubkeycol893 = [4, 4, 3, 3, 1, 1, 3, 1, 2, 3, 0, 0, 2, 3, 0, 0, 3, 0, 2, 0, 0, 4, 2, 2, 4, 4, 4, 4, 3, 4, 3, 1, 0, 3, 1, 1, 1, 3, 1, 1, 1, 4, 4, 1, 2, 0, 2, 2, 3, 4, 3, 0, 2, 3, 2, 2, 2, 4, 4, 2, 2, 4, 1, 4, 1, 4, 3, 3, 4, 1, 0, 4, 0, 2, 1, 1, 3, 0, 4, 1, 1, 0, 4, 3, 4, 2, 2, 4, 3, 4, 3, 1, 4, 0, 3, 1, 2, 3, 4, 2, 3, 2, 0, 4, 4, 3, 0, 2, 4, 3, 4, 1, 1, 1, 1, 0, 3, 4, 0, 2, 3, 2, 3, 2, 2, 2, 4, 1, 2, 0, 2, 0, 0, 4, 2, 0, 2, 4, 2, 3, 1, 3, 4, 2, 0, 1, 2, 2, 3, 2, 1, 1, 1, 2, 3, 0, 4, 3, 1, 2, 1, 4, 0, 2, 1, 2, 3, 2, 1, 4, 2, 1, 1, 4, 2, 2, 3, 2, 3, 4, 2, 3, 3, 2, 1, 1, 4, 0, 0, 2, 2, 3, 2, 2, 0, 3, 0, 0, 1, 1, 4, 4, 1, 2, 2, 2, 2, 2, 1, 4, 3, 1, 2, 1, 3, 0, 0, 3, 1, 1, 1, 3, 2, 0, 2, 1, 3, 4, 0, 0, 2, 1, 4, 2, 1, 0, 3, 1, 2, 3, 0, 4, 3, 4, 1, 3, 1, 0, 2, 2, 4, 3, 0, 3, 2, 0, 2, 0, 3, 0, 3, 2, 1, 3, 4, 3, 2, 4, 3, 2, 2, 1, 2, 0, 1, 4, 4, 1, 1, 3, 3, 2, 4, 3, 3, 1, 1, 1, 4, 4, 1, 1, 0, 3, 1, 1, 1, 1, 0, 1, 2, 2, 1, 4, 0, 1, 2, 4, 1, 3, 1, 2, 4, 4, 3, 2, 1, 1, 1, 1, 0, 2, 3, 2, 1, 3, 4, 1, 3, 0, 3, 2, 2, 0, 3, 2, 2, 0, 4, 4, 2, 2, 0, 3, 1, 1, 4, 0, 4, 1, 4, 0, 4, 4, 0, 1, 4, 3, 2, 1, 0, 3, 4, 4, 1, 2, 0, 1, 0, 1, 0, 1, 1, 3, 4, 1, 3, 4, 3, 2, 0, 4, 1, 4, 3, 1, 4, 2, 2, 2, 1, 3, 1, 2, 3, 2, 0, 1, 1, 1] pubkeycol894 = [1, 2, 2, 3, 1, 2, 0, 3, 3, 2, 4, 1, 2, 1, 1, 2, 4, 2, 3, 0, 3, 2, 2, 4, 0, 3, 4, 3, 3, 1, 4, 2, 1, 0, 1, 2, 0, 3, 3, 1, 2, 0, 3, 1, 4, 4, 2, 2, 0, 0, 4, 4, 1, 2, 1, 0, 2, 1, 1, 1, 4, 4, 2, 2, 0, 2, 1, 3, 1, 3, 2, 2, 4, 1, 3, 1, 1, 0, 3, 0, 3, 0, 3, 3, 2, 4, 0, 0, 3, 1, 3, 3, 0, 0, 0, 3, 2, 1, 1, 3, 4, 1, 4, 1, 1, 0, 3, 0, 0, 0, 1, 3, 3, 1, 2, 4, 2, 3, 2, 3, 2, 1, 0, 2, 0, 0, 3, 4, 3, 1, 4, 3, 1, 3, 0, 2, 1, 0, 2, 4, 1, 3, 1, 2, 1, 1, 1, 3, 0, 2, 0, 2, 3, 2, 4, 4, 4, 2, 4, 3, 4, 0, 3, 0, 1, 2, 0, 2, 2, 3, 3, 2, 0, 4, 1, 2, 4, 0, 1, 0, 1, 1, 4, 4, 4, 1, 1, 4, 2, 2, 1, 2, 0, 3, 1, 0, 0, 4, 3, 3, 2, 1, 1, 1, 3, 4, 1, 0, 0, 3, 0, 3, 4, 3, 2, 3, 3, 1, 4, 2, 1, 3, 4, 4, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 1, 3, 1, 3, 1, 2, 1, 0, 2, 4, 3, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 4, 3, 2, 2, 4, 1, 0, 0, 0, 1, 4, 3, 0, 1, 0, 4, 2, 0, 1, 2, 4, 1, 3, 4, 3, 0, 0, 3, 0, 2, 0, 4, 3, 0, 1, 3, 4, 0, 2, 1, 3, 1, 4, 0, 4, 3, 3, 4, 3, 2, 0, 0, 3, 1, 2, 4, 0, 0, 0, 4, 4, 2, 1, 1, 4, 4, 1, 0, 1, 3, 2, 2, 3, 2, 0, 2, 2, 4, 0, 4, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 4, 4, 3, 0, 3, 4, 0, 0, 4, 4, 3, 0, 0, 4, 4, 2, 2, 4, 4, 1, 2, 4, 0, 1, 1, 3, 4, 4, 2, 3, 0, 2, 2, 1, 3, 2, 1, 1, 3, 2, 0, 0] pubkeycol895 = [2, 2, 1, 1, 4, 4, 3, 4, 0, 3, 3, 0, 3, 2, 4, 1, 4, 0, 4, 3, 4, 1, 0, 3, 0, 0, 0, 2, 0, 2, 3, 2, 2, 3, 4, 4, 0, 4, 3, 4, 0, 2, 1, 0, 3, 0, 2, 0, 4, 0, 1, 1, 3, 4, 0, 3, 0, 4, 3, 3, 4, 0, 2, 4, 4, 2, 2, 4, 2, 4, 4, 1, 3, 4, 4, 2, 0, 4, 0, 3, 4, 0, 1, 3, 3, 4, 3, 3, 0, 0, 2, 2, 2, 1, 3, 0, 3, 2, 4, 4, 1, 4, 2, 2, 1, 0, 0, 4, 1, 1, 3, 0, 1, 2, 3, 3, 4, 3, 0, 0, 4, 3, 3, 2, 3, 4, 1, 0, 3, 4, 2, 1, 3, 3, 3, 2, 4, 4, 0, 4, 3, 2, 0, 2, 3, 0, 3, 4, 1, 3, 4, 3, 1, 3, 4, 3, 0, 2, 1, 3, 1, 4, 1, 4, 3, 0, 1, 0, 1, 3, 2, 2, 0, 2, 4, 4, 1, 3, 3, 0, 3, 0, 2, 0, 4, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 3, 2, 0, 2, 0, 2, 3, 2, 0, 4, 3, 1, 0, 4, 1, 3, 2, 1, 3, 3, 2, 3, 1, 1, 4, 0, 1, 4, 3, 1, 4, 1, 4, 1, 0, 2, 2, 0, 0, 4, 4, 3, 1, 4, 1, 1, 2, 0, 4, 0, 1, 0, 1, 1, 2, 3, 0, 4, 1, 3, 2, 3, 1, 2, 3, 4, 2, 1, 3, 4, 1, 4, 1, 0, 4, 0, 1, 0, 3, 0, 0, 1, 2, 1, 3, 0, 0, 1, 3, 2, 2, 1, 3, 1, 4, 0, 4, 4, 3, 1, 2, 2, 0, 0, 4, 2, 0, 2, 3, 3, 2, 4, 3, 1, 4, 2, 1, 2, 0, 0, 2, 3, 1, 0, 1, 2, 4, 1, 1, 4, 4, 2, 0, 4, 2, 2, 4, 2, 2, 3, 0, 0, 3, 4, 3, 2, 0, 2, 0, 4, 2, 4, 4, 1, 3, 2, 4, 1, 3, 3, 1, 3, 1, 1, 2, 1, 3, 4, 4, 0, 3, 0, 0, 2, 3, 2, 0, 1, 1, 2, 3, 3, 0, 4, 3, 2, 0, 0, 1, 2, 0, 0, 1, 4, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 4] pubkeycol896 = [1, 3, 2, 4, 4, 2, 1, 0, 3, 1, 3, 2, 0, 4, 2, 1, 2, 2, 3, 0, 4, 4, 4, 1, 0, 1, 1, 4, 3, 4, 0, 0, 1, 1, 3, 1, 4, 3, 3, 2, 4, 2, 3, 3, 0, 4, 0, 4, 2, 3, 0, 4, 1, 2, 4, 0, 1, 3, 1, 1, 1, 4, 0, 0, 4, 2, 0, 3, 0, 1, 3, 2, 0, 0, 0, 2, 4, 0, 3, 2, 0, 4, 4, 3, 1, 3, 2, 1, 4, 4, 3, 3, 1, 4, 4, 1, 2, 4, 4, 4, 2, 0, 2, 0, 4, 2, 0, 4, 3, 4, 1, 2, 1, 3, 1, 3, 0, 2, 2, 2, 2, 0, 1, 4, 0, 4, 1, 2, 4, 1, 3, 3, 1, 4, 4, 2, 4, 1, 4, 4, 2, 4, 1, 4, 2, 3, 4, 1, 4, 1, 3, 0, 0, 1, 2, 1, 4, 3, 4, 3, 0, 4, 1, 3, 3, 0, 3, 1, 3, 0, 0, 2, 4, 0, 3, 0, 0, 4, 3, 0, 3, 3, 2, 3, 1, 2, 0, 1, 2, 0, 2, 4, 4, 2, 0, 0, 1, 2, 3, 0, 3, 4, 1, 2, 4, 4, 2, 2, 1, 1, 0, 0, 4, 4, 4, 3, 4, 0, 0, 2, 2, 1, 2, 1, 2, 3, 3, 4, 0, 4, 4, 2, 3, 1, 1, 0, 3, 3, 3, 0, 1, 2, 2, 4, 2, 2, 1, 1, 1, 0, 4, 4, 0, 0, 1, 4, 4, 2, 3, 2, 2, 4, 2, 2, 4, 1, 0, 0, 3, 4, 4, 3, 4, 3, 0, 3, 1, 4, 4, 2, 1, 2, 4, 0, 1, 2, 2, 3, 0, 0, 3, 2, 0, 0, 1, 0, 3, 4, 4, 1, 3, 4, 3, 4, 0, 4, 2, 2, 4, 3, 1, 4, 1, 4, 0, 2, 4, 2, 3, 4, 0, 4, 4, 1, 3, 0, 0, 0, 0, 0, 4, 3, 3, 4, 0, 2, 4, 1, 3, 3, 3, 1, 1, 2, 1, 4, 2, 4, 4, 2, 1, 3, 0, 2, 3, 2, 2, 1, 2, 2, 0, 3, 0, 2, 2, 1, 3, 1, 4, 3, 0, 1, 4, 1, 1, 1, 3, 3, 0, 1, 0, 2, 0, 4, 3, 3, 2, 0, 2, 1, 2, 1, 3, 3, 1, 2, 3, 4, 3, 1] pubkeycol897 = [2, 0, 2, 3, 3, 4, 2, 0, 4, 3, 3, 3, 2, 2, 3, 4, 3, 1, 1, 0, 0, 4, 2, 3, 2, 0, 1, 3, 0, 3, 0, 0, 4, 0, 2, 2, 1, 4, 2, 2, 3, 1, 1, 1, 3, 0, 4, 4, 3, 1, 1, 2, 3, 0, 4, 0, 2, 2, 2, 2, 2, 1, 1, 0, 3, 2, 4, 2, 2, 0, 1, 3, 2, 4, 3, 0, 4, 3, 4, 4, 1, 3, 0, 4, 0, 2, 1, 0, 4, 4, 1, 3, 2, 4, 1, 1, 1, 3, 4, 1, 2, 0, 3, 0, 2, 0, 0, 2, 3, 0, 3, 3, 2, 4, 4, 2, 2, 0, 1, 4, 2, 1, 2, 0, 0, 4, 0, 4, 3, 4, 1, 1, 0, 2, 1, 3, 1, 4, 1, 0, 1, 0, 1, 0, 1, 3, 3, 4, 1, 0, 1, 3, 2, 3, 1, 1, 0, 0, 1, 0, 0, 0, 2, 4, 2, 2, 0, 3, 2, 1, 3, 1, 3, 4, 3, 3, 2, 3, 3, 2, 4, 0, 4, 2, 2, 2, 4, 3, 2, 2, 3, 4, 3, 3, 2, 4, 0, 0, 1, 3, 1, 3, 1, 3, 2, 0, 4, 0, 2, 0, 3, 2, 1, 0, 4, 4, 1, 4, 1, 2, 3, 3, 4, 2, 2, 3, 1, 3, 3, 1, 2, 3, 1, 3, 3, 4, 3, 2, 1, 0, 0, 2, 3, 1, 0, 3, 3, 3, 3, 1, 4, 1, 2, 2, 3, 3, 1, 3, 3, 0, 1, 0, 2, 1, 2, 2, 4, 2, 0, 2, 0, 0, 4, 0, 4, 1, 4, 2, 1, 3, 1, 0, 0, 0, 3, 2, 4, 4, 4, 3, 4, 0, 1, 1, 3, 0, 2, 1, 1, 1, 3, 0, 0, 3, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 4, 2, 2, 4, 2, 1, 4, 4, 0, 0, 0, 3, 2, 1, 4, 0, 3, 3, 0, 4, 3, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 4, 1, 0, 0, 0, 4, 4, 1, 3, 2, 2, 3, 1, 4, 4, 2, 0, 4, 0, 1, 3, 1, 1, 1, 1, 0, 2, 4, 0, 2, 2, 2, 1, 1, 4, 0, 4, 3, 1, 1, 4, 2, 1, 4, 0, 1, 2, 1, 0, 2] pubkeycol898 = [1, 1, 3, 1, 4, 2, 0, 1, 2, 3, 4, 0, 1, 0, 3, 0, 1, 2, 0, 3, 0, 2, 3, 3, 1, 4, 3, 1, 3, 4, 0, 4, 3, 2, 1, 0, 1, 0, 3, 4, 3, 0, 2, 1, 4, 3, 0, 3, 2, 3, 0, 2, 3, 2, 0, 4, 4, 1, 3, 2, 0, 3, 1, 4, 4, 1, 3, 0, 2, 2, 2, 2, 2, 3, 2, 0, 2, 0, 1, 1, 2, 4, 0, 0, 2, 1, 1, 0, 1, 0, 4, 0, 3, 1, 1, 0, 2, 4, 2, 4, 0, 1, 1, 0, 4, 3, 0, 4, 1, 0, 4, 0, 3, 3, 4, 2, 2, 2, 0, 4, 1, 3, 2, 1, 2, 1, 4, 1, 3, 0, 4, 3, 2, 3, 1, 3, 1, 1, 1, 4, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 4, 1, 1, 4, 0, 0, 4, 0, 2, 2, 3, 2, 3, 1, 4, 3, 2, 2, 1, 4, 0, 3, 1, 1, 3, 3, 0, 2, 3, 3, 0, 4, 3, 3, 1, 2, 3, 0, 3, 2, 1, 0, 1, 1, 2, 0, 2, 4, 4, 4, 0, 2, 2, 2, 2, 0, 2, 3, 2, 0, 3, 3, 0, 3, 2, 4, 1, 0, 3, 3, 0, 4, 4, 2, 1, 3, 2, 2, 4, 4, 0, 3, 2, 3, 0, 0, 4, 2, 0, 0, 0, 1, 3, 0, 1, 1, 1, 3, 0, 3, 1, 2, 4, 1, 4, 0, 4, 1, 2, 3, 4, 1, 0, 0, 3, 2, 1, 4, 4, 1, 4, 0, 1, 3, 1, 1, 4, 1, 4, 0, 1, 2, 3, 4, 1, 0, 1, 0, 1, 2, 3, 4, 0, 3, 1, 4, 0, 1, 4, 4, 3, 3, 2, 3, 1, 4, 2, 3, 3, 1, 1, 1, 0, 0, 4, 3, 4, 3, 3, 2, 1, 4, 0, 3, 1, 1, 3, 0, 0, 2, 2, 1, 1, 2, 3, 2, 3, 1, 0, 0, 0, 2, 3, 4, 0, 0, 1, 1, 3, 0, 0, 4, 3, 3, 1, 0, 4, 3, 3, 2, 0, 0, 1, 1, 2, 4, 3, 2, 2, 1, 3, 3, 1, 4, 2, 1, 1, 3, 0, 0, 1, 0, 1, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 1, 4, 4, 1, 0] pubkeycol899 = [0, 3, 1, 2, 0, 0, 4, 4, 0, 1, 4, 3, 4, 2, 2, 3, 4, 3, 0, 2, 4, 2, 4, 1, 2, 1, 2, 2, 1, 0, 3, 4, 3, 2, 0, 3, 1, 4, 2, 2, 0, 2, 0, 3, 0, 4, 0, 2, 1, 0, 2, 3, 2, 0, 3, 1, 4, 1, 1, 1, 4, 3, 4, 0, 3, 3, 3, 4, 3, 4, 2, 4, 1, 0, 0, 2, 0, 2, 1, 0, 0, 3, 2, 0, 1, 0, 1, 4, 3, 3, 2, 4, 3, 2, 1, 2, 1, 4, 0, 1, 0, 0, 3, 4, 3, 4, 3, 1, 2, 0, 1, 3, 3, 0, 2, 2, 3, 1, 1, 4, 1, 1, 0, 4, 3, 4, 4, 4, 1, 3, 4, 1, 3, 2, 1, 1, 0, 3, 2, 2, 2, 0, 1, 0, 4, 4, 2, 1, 2, 4, 2, 2, 3, 3, 2, 0, 3, 4, 3, 4, 0, 1, 0, 1, 3, 3, 0, 3, 0, 1, 0, 0, 2, 1, 1, 1, 3, 4, 0, 2, 3, 0, 4, 0, 2, 2, 3, 3, 3, 1, 1, 0, 1, 4, 1, 0, 2, 0, 3, 0, 0, 4, 3, 1, 2, 2, 2, 1, 0, 1, 3, 1, 2, 2, 0, 4, 1, 0, 1, 1, 0, 1, 2, 1, 4, 0, 3, 2, 4, 4, 1, 2, 1, 3, 3, 3, 4, 0, 4, 2, 4, 4, 0, 4, 1, 3, 0, 1, 3, 2, 3, 4, 3, 3, 2, 2, 0, 2, 3, 3, 3, 2, 2, 2, 0, 3, 0, 1, 2, 1, 3, 4, 4, 3, 2, 2, 1, 0, 0, 0, 4, 0, 2, 0, 2, 2, 3, 1, 2, 2, 0, 1, 4, 3, 0, 2, 4, 2, 1, 4, 3, 4, 4, 1, 3, 4, 2, 4, 3, 1, 3, 1, 4, 0, 3, 3, 4, 4, 3, 2, 4, 4, 3, 1, 0, 4, 4, 4, 2, 1, 3, 3, 3, 4, 3, 2, 1, 1, 3, 0, 0, 3, 0, 3, 1, 4, 0, 1, 3, 3, 4, 4, 2, 3, 0, 4, 3, 3, 4, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 3, 0, 0, 2, 1, 0, 1, 4, 4, 3, 3, 0, 4, 3, 1, 2, 2, 2, 4, 1, 1, 4, 0, 1, 2, 3, 1, 2, 4, 3] pubkeycol900 = [1, 3, 1, 2, 0, 3, 4, 4, 0, 0, 0, 1, 0, 3, 4, 1, 3, 3, 4, 1, 2, 0, 0, 0, 1, 0, 2, 3, 1, 0, 4, 3, 0, 0, 1, 2, 2, 1, 1, 3, 0, 2, 3, 0, 2, 1, 2, 1, 0, 3, 0, 4, 4, 1, 4, 0, 2, 0, 4, 1, 3, 3, 0, 4, 3, 1, 0, 2, 0, 1, 0, 3, 2, 2, 0, 2, 3, 1, 4, 3, 2, 3, 4, 0, 4, 2, 1, 0, 1, 4, 3, 1, 1, 0, 3, 4, 4, 1, 4, 3, 1, 0, 2, 2, 1, 3, 1, 3, 3, 2, 3, 3, 0, 4, 3, 4, 4, 3, 2, 3, 2, 4, 1, 1, 0, 3, 0, 1, 4, 3, 0, 0, 3, 4, 3, 4, 2, 0, 3, 1, 3, 0, 1, 1, 3, 0, 3, 3, 3, 4, 0, 2, 2, 2, 2, 2, 1, 1, 3, 1, 0, 0, 0, 0, 3, 4, 0, 4, 0, 3, 2, 3, 0, 2, 4, 4, 3, 4, 4, 0, 1, 3, 4, 1, 4, 4, 4, 2, 0, 0, 0, 0, 4, 1, 2, 3, 4, 3, 1, 4, 4, 4, 0, 4, 4, 0, 3, 2, 1, 1, 0, 1, 4, 0, 1, 2, 4, 2, 3, 0, 2, 4, 3, 0, 3, 4, 0, 3, 0, 4, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 4, 0, 0, 0, 3, 4, 2, 4, 4, 1, 2, 1, 2, 1, 3, 0, 2, 2, 4, 3, 3, 1, 0, 3, 3, 1, 3, 4, 2, 1, 0, 3, 4, 3, 3, 0, 3, 4, 4, 0, 1, 0, 0, 2, 0, 4, 3, 2, 4, 3, 0, 2, 3, 2, 2, 0, 4, 4, 0, 3, 0, 2, 0, 4, 4, 3, 2, 2, 2, 1, 4, 2, 4, 3, 4, 3, 4, 1, 3, 3, 1, 1, 0, 0, 3, 2, 4, 1, 4, 0, 0, 3, 1, 3, 0, 1, 4, 1, 0, 4, 1, 1, 2, 0, 2, 4, 4, 4, 4, 4, 4, 1, 4, 3, 3, 1, 4, 2, 0, 4, 3, 2, 0, 2, 0, 3, 4, 3, 4, 2, 2, 0, 2, 1, 1, 4, 0, 0, 4, 0, 2, 0, 0, 1, 0, 4, 3, 4, 1, 0, 1, 2, 0, 4, 3, 1, 0, 1, 3, 2] pubkeycol901 = [2, 1, 2, 3, 4, 0, 0, 4, 4, 0, 1, 4, 2, 2, 3, 2, 3, 1, 0, 2, 1, 4, 1, 2, 2, 2, 0, 4, 1, 0, 4, 1, 3, 0, 4, 0, 0, 0, 0, 1, 1, 2, 4, 1, 3, 0, 1, 4, 4, 4, 2, 3, 4, 3, 0, 0, 1, 2, 1, 0, 3, 3, 3, 1, 3, 1, 0, 3, 0, 0, 0, 1, 4, 4, 2, 4, 2, 1, 1, 0, 3, 1, 4, 4, 4, 0, 4, 4, 4, 4, 3, 3, 1, 3, 2, 1, 0, 1, 3, 1, 1, 2, 2, 2, 2, 0, 2, 0, 4, 2, 2, 4, 4, 2, 0, 0, 4, 3, 1, 0, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 3, 2, 2, 0, 4, 0, 3, 1, 2, 0, 1, 0, 3, 1, 4, 2, 0, 1, 1, 2, 4, 3, 1, 3, 4, 3, 2, 2, 1, 0, 1, 1, 3, 0, 3, 2, 0, 2, 0, 4, 3, 2, 3, 1, 4, 1, 2, 1, 4, 2, 3, 4, 0, 2, 3, 1, 0, 0, 1, 3, 1, 3, 1, 3, 3, 0, 1, 4, 0, 3, 3, 1, 2, 0, 3, 0, 4, 2, 3, 0, 1, 0, 4, 2, 3, 3, 3, 0, 3, 1, 4, 4, 1, 0, 0, 3, 2, 1, 0, 4, 3, 2, 3, 4, 1, 0, 2, 4, 1, 1, 4, 2, 2, 2, 2, 4, 2, 2, 2, 3, 3, 1, 4, 4, 2, 4, 0, 0, 4, 1, 3, 4, 1, 4, 0, 0, 2, 0, 0, 0, 1, 3, 1, 1, 3, 3, 4, 4, 2, 1, 3, 2, 0, 4, 3, 1, 2, 2, 0, 3, 3, 3, 4, 0, 3, 2, 2, 3, 4, 4, 4, 3, 4, 0, 2, 0, 1, 0, 3, 1, 3, 4, 2, 1, 0, 1, 4, 3, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 1, 4, 2, 4, 3, 0, 0, 1, 3, 2, 4, 2, 0, 1, 2, 4, 3, 2, 1, 4, 1, 3, 2, 0, 2, 0, 1, 2, 2, 3, 1, 0, 3, 4, 2, 0, 3, 0, 1, 3, 4, 4, 2, 3, 4, 1, 0, 1, 4, 4, 0, 3, 4, 1, 4, 2, 2, 2, 4, 4, 2, 0] pubkeycol902 = [4, 1, 1, 4, 3, 0, 3, 1, 1, 0, 2, 2, 4, 1, 4, 4, 2, 2, 2, 1, 3, 4, 0, 0, 3, 0, 4, 2, 2, 1, 0, 0, 2, 1, 3, 0, 0, 1, 2, 0, 1, 4, 2, 3, 4, 2, 1, 0, 3, 1, 2, 3, 2, 3, 2, 0, 1, 2, 0, 3, 3, 3, 4, 2, 4, 1, 1, 0, 4, 2, 2, 2, 4, 4, 4, 2, 4, 2, 4, 2, 4, 1, 4, 2, 2, 2, 0, 1, 0, 2, 3, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 4, 4, 4, 4, 2, 1, 0, 0, 4, 4, 4, 4, 0, 0, 1, 0, 2, 0, 2, 4, 2, 3, 0, 2, 1, 2, 1, 2, 2, 4, 0, 4, 1, 2, 1, 0, 0, 3, 2, 3, 3, 4, 0, 2, 1, 2, 0, 4, 1, 2, 0, 1, 4, 1, 1, 0, 1, 1, 2, 0, 0, 0, 3, 4, 4, 2, 2, 2, 3, 4, 2, 4, 3, 0, 2, 0, 4, 2, 4, 1, 2, 1, 1, 4, 0, 4, 4, 1, 0, 2, 3, 3, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 4, 2, 0, 3, 1, 0, 4, 4, 4, 0, 3, 3, 3, 0, 3, 0, 4, 2, 1, 4, 1, 4, 0, 1, 0, 4, 2, 4, 0, 4, 4, 3, 3, 4, 1, 3, 4, 1, 0, 1, 4, 2, 1, 0, 1, 2, 2, 3, 4, 0, 1, 0, 2, 2, 3, 2, 4, 1, 0, 1, 3, 4, 1, 4, 0, 0, 4, 1, 4, 3, 4, 2, 2, 3, 2, 1, 4, 4, 4, 1, 4, 1, 0, 0, 0, 3, 1, 3, 4, 4, 1, 4, 3, 2, 2, 1, 2, 4, 3, 1, 4, 0, 1, 2, 1, 1, 4, 2, 0, 1, 4, 3, 0, 3, 0, 4, 1, 1, 3, 3, 4, 3, 1, 0, 2, 0, 1, 2, 1, 3, 0, 3, 0, 4, 3, 2, 1, 2, 1, 2, 3, 2, 0, 2, 3, 4, 1, 1, 0, 4, 0, 2, 0, 1, 4, 2, 1, 0, 3, 3, 2, 4, 0, 0, 4, 2, 4, 1, 2, 4, 2, 3, 1, 4, 2, 2, 4, 4, 1, 1, 2, 1, 0, 4, 3, 4, 3, 4, 2, 3, 4, 4] pubkeycol903 = [1, 1, 1, 4, 3, 2, 2, 1, 3, 0, 0, 2, 4, 2, 2, 4, 0, 2, 0, 2, 3, 2, 4, 2, 2, 2, 2, 3, 1, 2, 1, 3, 1, 0, 1, 2, 4, 1, 1, 3, 3, 2, 2, 3, 3, 2, 2, 0, 4, 0, 4, 2, 2, 3, 4, 3, 1, 2, 3, 4, 3, 0, 2, 2, 4, 0, 3, 3, 4, 4, 1, 4, 1, 4, 0, 4, 0, 2, 2, 1, 4, 1, 2, 0, 0, 4, 0, 0, 1, 1, 3, 4, 1, 3, 2, 2, 4, 4, 2, 0, 2, 4, 2, 1, 2, 0, 2, 2, 4, 1, 0, 2, 1, 3, 2, 4, 3, 1, 0, 1, 4, 3, 3, 2, 4, 3, 1, 4, 1, 1, 3, 2, 3, 4, 1, 1, 3, 3, 4, 3, 1, 4, 0, 1, 1, 0, 3, 3, 1, 2, 4, 2, 1, 1, 2, 0, 0, 1, 4, 0, 1, 3, 0, 0, 1, 3, 3, 1, 4, 0, 3, 3, 2, 1, 2, 2, 4, 3, 1, 4, 1, 1, 0, 3, 3, 0, 2, 4, 3, 2, 4, 4, 2, 3, 2, 3, 2, 4, 2, 3, 3, 2, 1, 2, 1, 3, 1, 1, 3, 2, 1, 0, 4, 2, 3, 0, 2, 2, 2, 2, 1, 0, 0, 3, 4, 3, 3, 1, 1, 4, 0, 3, 4, 1, 1, 4, 4, 3, 0, 2, 4, 2, 4, 1, 1, 1, 3, 0, 0, 2, 4, 1, 2, 1, 2, 1, 0, 0, 0, 2, 3, 3, 1, 0, 0, 3, 4, 3, 0, 1, 3, 1, 3, 0, 3, 0, 2, 3, 3, 1, 1, 3, 2, 2, 1, 1, 2, 1, 1, 2, 3, 1, 0, 0, 4, 2, 4, 1, 4, 0, 4, 4, 2, 0, 0, 4, 3, 1, 0, 3, 1, 2, 3, 3, 4, 4, 3, 2, 3, 1, 3, 0, 1, 3, 4, 2, 0, 0, 3, 1, 2, 0, 0, 4, 1, 2, 2, 4, 2, 3, 1, 3, 2, 4, 3, 4, 4, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 3, 2, 4, 0, 4, 2, 3, 4, 2, 2, 1, 0, 3, 1, 1, 1, 3, 4, 1, 2, 1, 3, 0, 4, 1, 4, 0, 1, 0, 2, 0, 4, 1, 3, 0, 4, 1, 4, 2, 1, 1, 3, 1] pubkeycol904 = [1, 3, 0, 1, 0, 0, 0, 2, 1, 4, 3, 1, 1, 2, 2, 1, 3, 1, 4, 1, 1, 0, 2, 3, 2, 1, 4, 0, 0, 2, 3, 0, 0, 0, 2, 0, 1, 4, 4, 0, 2, 0, 2, 3, 4, 2, 2, 3, 1, 4, 1, 2, 2, 4, 4, 1, 0, 4, 0, 0, 1, 1, 2, 0, 0, 3, 0, 4, 4, 1, 1, 1, 2, 2, 2, 3, 1, 3, 0, 2, 3, 3, 4, 3, 2, 1, 2, 4, 4, 2, 3, 3, 0, 1, 3, 4, 4, 2, 3, 2, 4, 1, 1, 0, 4, 1, 0, 1, 3, 3, 1, 1, 4, 3, 3, 3, 2, 0, 2, 4, 1, 0, 1, 2, 1, 0, 3, 4, 4, 2, 4, 3, 2, 0, 2, 3, 1, 4, 4, 0, 3, 1, 0, 4, 3, 2, 2, 2, 4, 2, 0, 4, 1, 3, 3, 2, 4, 3, 1, 2, 4, 2, 4, 1, 2, 0, 2, 0, 3, 0, 3, 2, 2, 3, 4, 4, 2, 3, 2, 1, 1, 0, 3, 4, 1, 0, 2, 3, 3, 1, 4, 4, 0, 1, 2, 2, 1, 4, 4, 0, 4, 2, 4, 1, 4, 1, 1, 1, 1, 3, 4, 2, 3, 2, 3, 3, 1, 3, 2, 4, 2, 3, 1, 3, 0, 3, 1, 0, 0, 1, 2, 3, 3, 2, 3, 2, 3, 0, 4, 2, 1, 0, 2, 4, 3, 3, 4, 3, 0, 0, 1, 0, 4, 4, 0, 1, 4, 0, 4, 2, 0, 1, 1, 0, 4, 1, 0, 2, 4, 2, 3, 2, 2, 4, 0, 0, 4, 0, 2, 2, 0, 3, 4, 3, 4, 4, 3, 2, 2, 4, 0, 3, 3, 4, 0, 0, 2, 4, 3, 2, 1, 2, 4, 4, 3, 3, 0, 4, 4, 3, 1, 4, 0, 1, 3, 0, 1, 4, 4, 3, 3, 0, 4, 4, 3, 1, 0, 1, 0, 3, 3, 3, 0, 4, 2, 1, 3, 1, 4, 3, 3, 3, 1, 4, 4, 4, 3, 2, 4, 3, 3, 3, 3, 1, 0, 2, 4, 3, 1, 1, 1, 2, 2, 1, 0, 2, 1, 3, 0, 2, 2, 1, 3, 4, 2, 0, 1, 2, 4, 1, 2, 0, 3, 0, 3, 4, 1, 4, 4, 3, 2, 2, 2, 1, 4, 2, 3, 0, 0, 3] pubkeycol905 = [2, 0, 0, 4, 0, 0, 3, 2, 1, 0, 0, 1, 3, 3, 2, 4, 2, 4, 0, 2, 2, 1, 3, 0, 0, 3, 0, 0, 2, 1, 2, 4, 0, 2, 3, 2, 2, 2, 4, 1, 1, 4, 2, 4, 4, 4, 3, 2, 2, 2, 0, 0, 2, 0, 4, 1, 4, 3, 2, 1, 2, 3, 1, 2, 1, 0, 1, 4, 4, 0, 0, 1, 1, 3, 0, 2, 3, 0, 3, 2, 1, 3, 0, 2, 2, 1, 1, 1, 3, 2, 0, 0, 3, 3, 3, 0, 4, 1, 1, 0, 3, 4, 1, 2, 0, 0, 2, 1, 3, 1, 3, 1, 0, 1, 3, 0, 4, 3, 0, 4, 4, 0, 4, 3, 2, 4, 4, 4, 1, 1, 4, 1, 4, 4, 3, 1, 0, 2, 0, 0, 4, 0, 0, 1, 4, 3, 4, 2, 1, 1, 0, 1, 1, 3, 4, 4, 1, 0, 1, 2, 3, 4, 1, 2, 2, 3, 0, 4, 0, 2, 4, 1, 4, 4, 3, 1, 2, 3, 4, 1, 1, 1, 2, 1, 3, 0, 1, 2, 3, 1, 3, 4, 0, 1, 3, 0, 0, 1, 0, 2, 2, 3, 1, 3, 0, 3, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 2, 4, 3, 4, 2, 0, 3, 4, 4, 2, 0, 2, 1, 0, 3, 0, 1, 2, 3, 2, 3, 0, 2, 3, 2, 4, 1, 2, 2, 3, 2, 2, 0, 0, 0, 3, 3, 3, 3, 2, 3, 3, 0, 0, 2, 3, 0, 1, 4, 1, 0, 1, 0, 2, 2, 3, 2, 3, 0, 2, 4, 2, 3, 1, 3, 2, 0, 2, 4, 0, 2, 2, 1, 4, 2, 2, 0, 0, 0, 4, 2, 1, 4, 3, 0, 3, 1, 4, 3, 4, 3, 3, 2, 2, 4, 3, 3, 2, 0, 0, 0, 1, 2, 0, 2, 3, 1, 3, 3, 0, 1, 1, 3, 3, 2, 1, 1, 2, 2, 1, 0, 4, 1, 2, 1, 3, 2, 2, 3, 4, 0, 0, 0, 1, 1, 4, 1, 2, 3, 1, 0, 1, 2, 4, 0, 3, 1, 0, 4, 4, 4, 3, 4, 3, 1, 4, 4, 2, 0, 2, 0, 4, 3, 1, 0, 1, 1, 0, 2, 4, 4, 2, 1, 2, 1, 3, 3, 1, 2, 0, 0] pubkeycol906 = [1, 0, 0, 3, 0, 3, 1, 1, 4, 1, 4, 2, 1, 0, 2, 0, 4, 2, 4, 3, 2, 2, 2, 1, 0, 0, 0, 3, 1, 2, 1, 4, 0, 3, 2, 0, 0, 0, 0, 2, 2, 4, 3, 0, 4, 4, 0, 2, 4, 0, 2, 0, 2, 2, 1, 0, 4, 1, 2, 2, 2, 1, 2, 4, 1, 1, 3, 2, 1, 1, 2, 3, 4, 3, 1, 4, 1, 4, 1, 4, 4, 2, 2, 1, 3, 4, 1, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 3, 2, 0, 4, 2, 4, 0, 2, 0, 3, 0, 2, 0, 0, 0, 0, 0, 2, 0, 3, 0, 2, 2, 0, 2, 4, 2, 2, 1, 4, 0, 3, 3, 4, 0, 1, 2, 4, 3, 0, 3, 1, 0, 1, 3, 0, 0, 0, 2, 0, 4, 2, 1, 1, 1, 0, 1, 1, 1, 4, 0, 1, 1, 1, 2, 1, 2, 4, 0, 0, 4, 3, 1, 3, 2, 0, 1, 0, 0, 3, 2, 0, 3, 0, 2, 4, 0, 3, 4, 0, 4, 2, 1, 1, 3, 0, 4, 3, 2, 1, 2, 3, 0, 0, 3, 1, 0, 3, 3, 0, 2, 3, 0, 0, 4, 0, 4, 1, 2, 2, 4, 0, 1, 0, 3, 1, 2, 4, 4, 3, 2, 1, 0, 4, 4, 1, 1, 1, 3, 1, 2, 2, 3, 0, 3, 1, 3, 3, 0, 3, 3, 2, 3, 3, 2, 4, 0, 0, 1, 0, 1, 4, 0, 1, 3, 2, 3, 3, 2, 0, 2, 2, 3, 1, 0, 3, 4, 0, 4, 1, 3, 0, 3, 1, 2, 2, 2, 2, 4, 2, 3, 2, 0, 3, 0, 1, 3, 3, 0, 4, 3, 4, 3, 0, 4, 4, 3, 4, 4, 1, 3, 0, 3, 3, 1, 2, 4, 3, 0, 2, 4, 0, 2, 2, 1, 1, 1, 1, 4, 3, 3, 0, 0, 4, 2, 4, 4, 1, 4, 3, 2, 4, 1, 0, 4, 0, 3, 3, 2, 1, 4, 4, 1, 0, 0, 4, 4, 0, 2, 0, 3, 3, 4, 2, 2, 2, 3, 2, 1, 4, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 4, 2, 3, 2, 3, 2, 1, 2, 4, 4, 4, 2, 3, 0, 3, 0, 1, 1, 4, 3, 0, 0] pubkeycol907 = [1, 0, 1, 3, 4, 1, 3, 2, 4, 3, 0, 1, 2, 1, 1, 0, 2, 3, 1, 1, 2, 2, 4, 0, 1, 0, 2, 0, 4, 3, 3, 0, 3, 0, 4, 1, 3, 4, 1, 3, 2, 1, 2, 4, 2, 0, 4, 4, 3, 3, 0, 0, 3, 2, 4, 0, 3, 1, 1, 0, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 4, 2, 3, 3, 4, 3, 1, 1, 3, 2, 0, 1, 1, 2, 0, 4, 1, 3, 0, 3, 3, 0, 3, 0, 2, 3, 2, 4, 1, 0, 2, 2, 1, 2, 0, 4, 2, 4, 2, 0, 4, 4, 1, 2, 0, 3, 0, 4, 4, 1, 4, 4, 0, 4, 2, 1, 4, 3, 2, 2, 4, 4, 1, 1, 4, 3, 2, 2, 1, 1, 0, 4, 2, 4, 0, 2, 0, 0, 3, 1, 2, 2, 2, 4, 1, 0, 2, 4, 1, 0, 1, 0, 2, 1, 2, 3, 0, 3, 2, 4, 1, 0, 4, 2, 1, 0, 4, 2, 3, 1, 1, 2, 0, 0, 3, 3, 1, 0, 1, 4, 3, 3, 2, 1, 0, 1, 1, 3, 0, 3, 3, 2, 4, 0, 2, 1, 4, 3, 3, 4, 3, 1, 2, 3, 3, 0, 1, 3, 1, 2, 4, 2, 0, 0, 1, 1, 2, 0, 0, 2, 4, 0, 1, 1, 2, 3, 0, 4, 2, 3, 3, 1, 1, 3, 4, 3, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 4, 0, 2, 3, 4, 3, 2, 2, 3, 2, 1, 2, 2, 2, 0, 0, 4, 2, 1, 3, 1, 3, 1, 4, 1, 0, 3, 4, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 3, 1, 3, 4, 1, 3, 3, 1, 0, 2, 3, 2, 2, 4, 3, 4, 2, 2, 0, 3, 2, 0, 1, 3, 2, 2, 0, 4, 4, 0, 1, 4, 2, 4, 2, 3, 3, 2, 4, 2, 2, 2, 3, 0, 0, 1, 4, 2, 1, 0, 4, 2, 4, 0, 4, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 3, 0, 4, 0, 4, 3, 1, 4, 3, 0, 0, 1, 0, 4, 3, 4, 3, 2, 3, 1, 4, 0, 1, 2] pubkeycol908 = [0, 1, 3, 2, 4, 4, 3, 0, 2, 2, 2, 1, 1, 3, 3, 0, 2, 0, 3, 3, 0, 2, 1, 1, 1, 2, 2, 4, 1, 1, 2, 3, 3, 4, 2, 4, 2, 4, 1, 2, 3, 1, 2, 1, 3, 3, 4, 0, 3, 1, 2, 2, 0, 4, 0, 4, 3, 3, 0, 4, 0, 2, 4, 4, 3, 1, 0, 2, 4, 0, 2, 3, 4, 0, 4, 3, 2, 2, 1, 0, 3, 3, 2, 2, 3, 1, 4, 3, 2, 0, 1, 4, 0, 3, 2, 0, 3, 4, 2, 2, 0, 4, 1, 2, 4, 0, 3, 1, 3, 1, 2, 0, 4, 2, 0, 1, 4, 2, 4, 0, 3, 4, 0, 3, 0, 2, 2, 2, 0, 4, 0, 3, 4, 4, 4, 4, 3, 3, 3, 1, 4, 2, 3, 2, 1, 0, 1, 2, 4, 1, 3, 0, 4, 2, 3, 4, 1, 1, 4, 2, 0, 2, 3, 0, 0, 0, 4, 4, 1, 3, 2, 2, 4, 3, 1, 4, 1, 3, 2, 2, 4, 0, 2, 4, 1, 4, 4, 3, 4, 2, 3, 1, 0, 1, 1, 4, 3, 1, 2, 3, 1, 4, 0, 4, 1, 2, 4, 3, 4, 0, 2, 0, 2, 3, 2, 3, 3, 1, 2, 0, 3, 0, 1, 4, 3, 2, 3, 1, 4, 2, 1, 4, 1, 4, 0, 2, 3, 4, 1, 3, 1, 0, 2, 1, 3, 0, 3, 1, 0, 4, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 3, 1, 0, 2, 0, 2, 2, 3, 0, 0, 3, 3, 4, 0, 3, 1, 2, 3, 2, 1, 3, 4, 4, 3, 3, 0, 4, 4, 0, 1, 3, 3, 1, 2, 2, 3, 1, 1, 1, 1, 4, 2, 4, 3, 0, 3, 3, 4, 2, 2, 1, 1, 4, 0, 2, 4, 4, 1, 3, 3, 2, 0, 0, 2, 1, 2, 4, 4, 0, 4, 1, 4, 4, 3, 0, 4, 2, 1, 1, 0, 2, 2, 1, 3, 1, 0, 3, 1, 2, 2, 1, 3, 4, 0, 1, 2, 1, 3, 0, 1, 3, 1, 2, 0, 0, 4, 2, 0, 0, 4, 0, 3, 0, 1, 3, 1, 0, 4, 2, 3, 3, 3, 4, 1, 1, 0, 4, 3, 2, 1, 3, 0, 1, 4, 4, 2, 4, 0, 0] pubkeycol909 = [0, 3, 2, 4, 1, 2, 4, 0, 4, 3, 1, 3, 3, 1, 3, 3, 2, 2, 4, 3, 0, 2, 2, 2, 0, 0, 4, 3, 2, 0, 2, 4, 3, 0, 0, 4, 3, 0, 2, 0, 1, 3, 0, 0, 0, 3, 0, 0, 3, 0, 1, 2, 3, 2, 3, 4, 3, 3, 3, 0, 1, 4, 2, 0, 4, 2, 4, 2, 2, 3, 0, 1, 2, 4, 1, 2, 4, 0, 1, 0, 1, 2, 4, 1, 3, 3, 1, 3, 4, 0, 0, 1, 1, 2, 4, 0, 0, 0, 0, 3, 2, 0, 3, 3, 3, 1, 0, 4, 2, 1, 2, 2, 0, 1, 1, 0, 4, 3, 3, 2, 2, 2, 4, 3, 0, 2, 3, 2, 3, 4, 3, 2, 0, 2, 3, 3, 3, 4, 1, 0, 0, 1, 3, 2, 0, 1, 1, 4, 3, 4, 3, 0, 0, 0, 1, 4, 3, 4, 2, 1, 1, 1, 1, 2, 0, 4, 3, 2, 4, 1, 4, 0, 0, 0, 0, 2, 4, 0, 2, 2, 0, 2, 4, 0, 2, 0, 4, 3, 2, 4, 3, 3, 1, 4, 4, 1, 3, 2, 2, 0, 1, 2, 2, 4, 1, 4, 3, 0, 0, 4, 3, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 4, 4, 4, 3, 4, 0, 0, 4, 2, 0, 0, 0, 0, 1, 0, 3, 3, 2, 1, 3, 2, 3, 0, 4, 3, 2, 1, 4, 1, 0, 2, 3, 2, 1, 3, 3, 2, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 4, 0, 0, 2, 0, 3, 1, 4, 0, 2, 0, 4, 1, 2, 4, 0, 0, 3, 2, 2, 2, 1, 3, 4, 3, 4, 0, 3, 2, 4, 0, 0, 1, 2, 1, 1, 1, 4, 2, 3, 1, 3, 0, 2, 1, 1, 1, 2, 4, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 3, 4, 4, 1, 4, 1, 1, 3, 2, 4, 4, 3, 4, 3, 1, 2, 4, 2, 1, 3, 2, 4, 1, 2, 3, 4, 1, 0, 2, 2, 3, 2, 3, 1, 3, 2, 0, 2, 4, 1, 0, 1, 2, 0, 2, 0, 3, 1, 2, 1, 2, 4, 0, 2, 2, 3, 0, 0, 2, 4, 1, 3, 1, 0, 0, 1, 1, 4, 3, 4] pubkeycol910 = [4, 0, 0, 2, 4, 4, 0, 2, 1, 4, 0, 1, 4, 4, 2, 4, 3, 3, 0, 2, 4, 3, 4, 1, 4, 0, 1, 2, 3, 3, 1, 4, 2, 2, 1, 2, 2, 4, 2, 4, 4, 4, 3, 0, 0, 3, 4, 0, 1, 4, 1, 2, 4, 3, 0, 2, 3, 4, 2, 4, 0, 2, 3, 0, 4, 0, 3, 1, 3, 0, 1, 1, 3, 0, 3, 1, 0, 2, 4, 3, 3, 1, 4, 3, 2, 4, 4, 1, 0, 0, 3, 4, 1, 1, 3, 2, 2, 1, 1, 3, 0, 2, 3, 0, 4, 2, 0, 3, 4, 1, 4, 4, 0, 2, 1, 2, 0, 3, 2, 2, 3, 1, 3, 1, 4, 0, 2, 0, 1, 2, 4, 1, 4, 4, 4, 4, 1, 3, 4, 0, 1, 4, 1, 0, 4, 4, 0, 3, 2, 2, 3, 4, 3, 2, 3, 4, 3, 0, 0, 4, 2, 3, 1, 0, 0, 4, 2, 1, 2, 4, 3, 0, 4, 3, 4, 1, 2, 0, 1, 3, 0, 1, 1, 3, 4, 2, 1, 0, 2, 0, 1, 0, 4, 2, 0, 2, 3, 0, 2, 1, 4, 4, 2, 2, 0, 2, 4, 0, 4, 0, 3, 1, 1, 2, 4, 2, 4, 0, 3, 3, 0, 2, 3, 0, 3, 2, 2, 3, 1, 2, 0, 1, 3, 4, 2, 4, 0, 4, 4, 4, 4, 2, 1, 4, 0, 4, 1, 2, 4, 4, 4, 2, 3, 1, 4, 2, 2, 4, 1, 3, 0, 2, 4, 4, 1, 2, 2, 3, 3, 1, 3, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 3, 1, 0, 0, 2, 2, 1, 0, 3, 4, 4, 3, 4, 2, 3, 1, 0, 1, 3, 1, 0, 0, 2, 4, 2, 4, 4, 0, 1, 0, 1, 0, 2, 0, 1, 3, 4, 3, 0, 4, 1, 0, 4, 1, 3, 3, 1, 2, 3, 1, 2, 2, 3, 4, 4, 0, 1, 3, 0, 0, 1, 0, 4, 2, 2, 3, 0, 3, 2, 4, 1, 2, 4, 2, 3, 1, 4, 0, 4, 0, 1, 4, 0, 0, 2, 2, 3, 1, 4, 3, 3, 4, 1, 3, 3, 2, 3, 4, 4, 2, 3, 4, 4, 0, 3, 3, 2, 1, 4, 2, 4, 1, 2, 2, 2, 3, 1, 2] pubkeycol911 = [4, 4, 0, 4, 0, 4, 2, 4, 2, 4, 3, 3, 0, 4, 1, 0, 0, 4, 3, 4, 0, 0, 1, 4, 1, 0, 3, 1, 0, 3, 3, 0, 2, 3, 4, 2, 3, 3, 2, 0, 2, 0, 2, 3, 1, 2, 4, 1, 2, 1, 4, 2, 1, 4, 4, 3, 3, 3, 4, 0, 3, 2, 4, 2, 0, 3, 0, 0, 4, 2, 2, 2, 1, 3, 2, 0, 0, 0, 1, 2, 0, 2, 4, 4, 4, 3, 4, 4, 4, 1, 0, 3, 4, 3, 2, 1, 2, 3, 1, 0, 0, 3, 2, 3, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 4, 3, 0, 2, 4, 4, 4, 0, 4, 4, 1, 3, 2, 2, 4, 4, 1, 2, 0, 1, 4, 2, 2, 0, 3, 1, 1, 0, 4, 4, 2, 3, 0, 1, 1, 1, 2, 0, 2, 1, 0, 3, 3, 1, 2, 0, 2, 4, 0, 0, 4, 3, 1, 3, 2, 1, 0, 3, 1, 1, 2, 1, 2, 4, 2, 3, 0, 2, 1, 4, 4, 3, 2, 4, 3, 0, 3, 0, 4, 2, 2, 2, 2, 3, 4, 4, 4, 3, 4, 3, 0, 3, 3, 2, 2, 0, 4, 3, 3, 4, 3, 1, 3, 1, 3, 0, 3, 2, 4, 0, 4, 4, 3, 3, 0, 0, 0, 4, 0, 4, 1, 4, 1, 2, 3, 2, 0, 1, 1, 0, 4, 3, 0, 4, 4, 1, 2, 2, 1, 3, 1, 4, 4, 2, 4, 4, 1, 1, 1, 4, 2, 4, 3, 2, 2, 2, 3, 1, 4, 0, 2, 1, 0, 3, 1, 0, 1, 4, 3, 0, 1, 0, 0, 1, 3, 0, 1, 0, 2, 3, 4, 1, 3, 4, 0, 1, 4, 3, 4, 3, 1, 0, 0, 4, 3, 4, 2, 0, 3, 2, 2, 2, 1, 3, 3, 0, 3, 4, 2, 3, 0, 0, 1, 2, 4, 4, 0, 1, 4, 0, 4, 3, 4, 3, 0, 1, 0, 4, 0, 3, 3, 1, 4, 2, 4, 3, 1, 3, 4, 0, 0, 0, 0, 0, 1, 0, 4, 1, 4, 2, 1, 0, 3, 1, 2, 1, 3, 2, 1, 1, 3, 1, 3, 1, 0, 1, 4, 2, 2, 3, 4, 3, 0, 3, 2, 3, 0, 1, 4, 1, 1, 1, 1, 2, 0] pubkeycol912 = [0, 3, 0, 0, 4, 3, 1, 4, 0, 0, 3, 4, 3, 3, 0, 1, 3, 0, 1, 4, 2, 2, 4, 3, 3, 4, 2, 4, 3, 0, 0, 1, 4, 4, 0, 1, 1, 4, 3, 4, 2, 4, 0, 1, 0, 3, 2, 1, 4, 2, 4, 3, 3, 1, 3, 4, 1, 3, 2, 4, 3, 2, 3, 1, 2, 0, 3, 2, 2, 1, 4, 1, 3, 4, 0, 3, 3, 3, 3, 2, 1, 1, 1, 0, 4, 2, 3, 4, 0, 4, 3, 1, 3, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 4, 4, 4, 1, 4, 2, 4, 0, 1, 2, 3, 1, 0, 4, 0, 2, 4, 3, 4, 3, 1, 1, 0, 3, 1, 3, 2, 0, 4, 1, 3, 3, 0, 4, 3, 3, 3, 1, 0, 3, 3, 2, 2, 2, 1, 2, 0, 0, 1, 4, 2, 2, 3, 3, 4, 1, 3, 4, 2, 1, 4, 0, 4, 3, 0, 4, 0, 3, 0, 2, 3, 4, 0, 1, 3, 1, 4, 0, 0, 0, 1, 4, 4, 0, 2, 3, 0, 4, 3, 1, 0, 3, 1, 0, 2, 3, 0, 4, 1, 2, 0, 2, 1, 4, 0, 1, 0, 1, 3, 0, 0, 3, 2, 3, 2, 1, 4, 2, 1, 3, 1, 4, 2, 4, 4, 3, 0, 1, 1, 3, 3, 2, 3, 0, 0, 0, 3, 2, 1, 0, 3, 3, 0, 0, 0, 4, 3, 4, 1, 0, 0, 4, 1, 4, 4, 3, 3, 2, 3, 2, 0, 2, 4, 4, 4, 1, 2, 0, 4, 2, 0, 1, 0, 2, 2, 4, 0, 3, 3, 2, 1, 4, 2, 4, 3, 3, 0, 1, 4, 1, 1, 2, 0, 2, 4, 2, 3, 2, 1, 1, 2, 0, 4, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 3, 4, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 1, 3, 0, 0, 0, 0, 4, 0, 2, 1, 2, 0, 3, 2, 2, 0, 1, 3, 2, 0, 0, 4, 4, 3, 1, 3, 3, 1, 0, 3, 1, 4, 1, 3, 1, 0, 4, 0, 2, 2, 3, 3, 0, 2, 0, 4, 4, 4, 0, 2, 4, 2, 1, 1, 3, 0, 4, 2, 4, 2, 2, 4, 0, 3, 4, 1, 3, 2, 4, 1, 2, 3] pubkeycol913 = [1, 1, 3, 0, 4, 2, 3, 2, 2, 3, 0, 4, 0, 3, 1, 2, 2, 3, 4, 4, 4, 1, 0, 0, 0, 1, 1, 2, 4, 0, 2, 3, 2, 1, 3, 4, 2, 4, 1, 4, 3, 2, 4, 0, 1, 0, 0, 3, 1, 3, 4, 4, 1, 1, 1, 4, 1, 1, 3, 0, 1, 0, 3, 4, 2, 3, 0, 4, 0, 2, 3, 1, 3, 0, 2, 1, 3, 3, 0, 4, 3, 3, 4, 2, 1, 3, 1, 3, 4, 3, 0, 4, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 4, 1, 0, 4, 2, 0, 2, 2, 3, 3, 0, 3, 1, 1, 1, 2, 3, 0, 0, 4, 2, 3, 2, 1, 3, 4, 4, 1, 2, 4, 1, 4, 0, 3, 2, 0, 2, 3, 0, 4, 4, 1, 2, 2, 4, 0, 4, 4, 4, 0, 4, 1, 3, 3, 0, 1, 3, 4, 2, 1, 4, 0, 4, 3, 4, 3, 4, 1, 2, 1, 3, 1, 1, 2, 1, 4, 2, 3, 1, 3, 3, 0, 4, 1, 2, 3, 4, 4, 1, 2, 3, 4, 3, 4, 3, 0, 4, 2, 4, 3, 4, 4, 1, 2, 2, 2, 2, 1, 0, 0, 3, 0, 2, 4, 2, 0, 2, 2, 3, 0, 3, 3, 3, 1, 0, 3, 4, 1, 3, 2, 2, 3, 3, 0, 0, 2, 1, 4, 4, 2, 2, 3, 1, 4, 3, 1, 2, 4, 1, 2, 0, 1, 1, 2, 3, 2, 4, 3, 1, 3, 3, 1, 2, 0, 2, 0, 4, 2, 3, 3, 0, 3, 0, 4, 0, 0, 0, 2, 3, 2, 1, 1, 4, 1, 2, 4, 1, 0, 3, 2, 1, 2, 2, 3, 0, 2, 4, 1, 2, 2, 2, 0, 4, 2, 3, 2, 4, 0, 4, 0, 2, 4, 1, 4, 2, 4, 2, 0, 2, 0, 0, 4, 1, 4, 4, 0, 1, 0, 1, 1, 3, 4, 3, 2, 3, 4, 4, 2, 0, 4, 1, 2, 4, 0, 1, 1, 1, 4, 1, 0, 1, 4, 2, 4, 1, 2, 4, 1, 2, 3, 3, 1, 2, 3, 2, 2, 3, 0, 4, 1, 4, 2, 4, 2, 3, 4, 4, 2, 4, 4, 1, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 1, 2, 3, 1] pubkeycol914 = [3, 0, 1, 1, 1, 1, 2, 1, 2, 4, 3, 4, 0, 3, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 3, 0, 1, 1, 1, 2, 2, 3, 1, 0, 4, 2, 4, 1, 1, 0, 2, 3, 0, 4, 1, 4, 0, 2, 1, 2, 3, 4, 0, 4, 1, 4, 1, 0, 0, 2, 0, 4, 0, 4, 3, 1, 0, 2, 2, 3, 0, 4, 0, 2, 4, 4, 0, 4, 1, 2, 2, 4, 0, 2, 3, 2, 2, 1, 3, 0, 1, 0, 3, 2, 1, 3, 2, 4, 3, 1, 1, 2, 1, 3, 3, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 4, 4, 3, 1, 0, 3, 4, 0, 4, 1, 4, 3, 1, 0, 0, 4, 3, 0, 4, 3, 4, 0, 0, 0, 4, 4, 1, 1, 3, 2, 4, 1, 3, 0, 1, 4, 1, 1, 4, 2, 1, 1, 4, 3, 3, 1, 4, 1, 1, 0, 4, 1, 1, 2, 1, 0, 4, 3, 0, 2, 2, 3, 0, 3, 1, 3, 2, 4, 2, 3, 0, 2, 3, 0, 4, 4, 2, 1, 2, 0, 2, 1, 3, 2, 2, 4, 1, 1, 0, 4, 4, 0, 4, 3, 0, 3, 2, 1, 3, 3, 4, 1, 2, 2, 0, 4, 1, 1, 0, 3, 3, 0, 3, 1, 0, 3, 3, 2, 1, 0, 0, 4, 1, 3, 2, 3, 0, 0, 3, 1, 4, 4, 4, 2, 4, 4, 4, 2, 3, 2, 0, 4, 1, 0, 2, 0, 4, 0, 3, 1, 3, 3, 3, 3, 2, 3, 0, 1, 4, 2, 3, 3, 1, 2, 4, 0, 2, 0, 1, 4, 3, 4, 3, 2, 2, 0, 0, 4, 1, 0, 0, 4, 2, 4, 2, 0, 0, 1, 2, 3, 1, 2, 1, 2, 3, 0, 2, 1, 0, 0, 3, 4, 3, 4, 1, 0, 0, 1, 0, 0, 4, 4, 1, 3, 4, 2, 0, 3, 2, 2, 4, 0, 4, 3, 2, 0, 0, 3, 4, 4, 0, 1, 1, 3, 4, 3, 1, 4, 2, 1, 3, 4, 4, 3, 1, 2, 4, 3, 1, 0, 0, 3, 0, 2, 3, 3, 2, 2, 3, 3, 0, 1, 4, 0, 0, 2, 2, 3, 2, 4, 2, 2, 4, 3, 4, 0, 2, 3, 3, 1] pubkeycol915 = [0, 4, 2, 1, 3, 3, 4, 3, 3, 2, 4, 3, 0, 1, 3, 3, 3, 0, 3, 2, 1, 0, 3, 1, 0, 1, 1, 0, 4, 2, 3, 2, 2, 0, 1, 0, 1, 4, 4, 3, 3, 0, 1, 0, 1, 2, 1, 1, 3, 2, 4, 4, 3, 3, 2, 1, 3, 3, 3, 3, 3, 2, 2, 1, 2, 4, 3, 0, 3, 3, 2, 2, 1, 2, 4, 1, 2, 3, 0, 3, 3, 2, 2, 3, 2, 4, 1, 1, 4, 0, 1, 1, 3, 4, 3, 0, 2, 4, 0, 0, 0, 4, 4, 4, 2, 2, 2, 4, 3, 0, 2, 2, 2, 2, 3, 4, 4, 0, 3, 0, 2, 2, 3, 3, 1, 2, 2, 1, 3, 0, 1, 0, 0, 4, 0, 4, 4, 2, 1, 2, 3, 1, 0, 1, 1, 2, 0, 0, 3, 0, 2, 3, 3, 0, 4, 2, 3, 1, 4, 1, 4, 0, 2, 4, 1, 3, 0, 2, 0, 4, 3, 2, 4, 3, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 3, 2, 2, 3, 0, 3, 4, 4, 3, 4, 1, 3, 1, 3, 1, 1, 0, 1, 1, 2, 3, 0, 0, 3, 3, 1, 4, 1, 4, 1, 0, 1, 4, 4, 1, 1, 4, 1, 2, 3, 1, 1, 3, 3, 1, 2, 4, 1, 2, 1, 3, 4, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 4, 2, 4, 3, 3, 3, 0, 4, 2, 0, 0, 0, 4, 4, 2, 2, 2, 2, 0, 2, 2, 3, 4, 1, 3, 4, 3, 4, 2, 2, 3, 0, 4, 4, 0, 2, 1, 2, 4, 1, 4, 2, 0, 1, 2, 0, 4, 3, 2, 4, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 3, 2, 4, 3, 3, 1, 0, 0, 3, 4, 2, 4, 3, 4, 0, 3, 3, 2, 1, 0, 1, 2, 2, 3, 1, 2, 3, 2, 2, 0, 3, 3, 0, 1, 2, 0, 4, 0, 1, 4, 3, 4, 4, 1, 0, 2, 3, 4, 2, 3, 1, 3, 0, 0, 2, 2, 2, 0, 2, 0, 4, 0, 0, 1, 0, 3, 1, 4, 2, 3, 3, 1, 4, 1, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 0, 3, 0, 3, 2, 4, 0] pubkeycol916 = [0, 4, 2, 2, 4, 3, 0, 2, 2, 1, 4, 0, 4, 3, 4, 0, 1, 3, 1, 4, 4, 1, 1, 4, 1, 0, 4, 0, 0, 4, 1, 1, 1, 2, 2, 3, 1, 0, 0, 4, 1, 0, 0, 4, 0, 1, 1, 3, 0, 4, 3, 2, 0, 3, 1, 0, 4, 2, 3, 0, 4, 2, 2, 1, 4, 3, 1, 0, 3, 0, 1, 0, 1, 1, 3, 1, 2, 0, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 3, 1, 3, 1, 0, 4, 4, 3, 4, 4, 2, 3, 2, 0, 1, 3, 2, 1, 3, 3, 2, 4, 0, 2, 4, 3, 2, 0, 3, 0, 1, 4, 3, 1, 0, 0, 2, 0, 4, 3, 1, 2, 2, 4, 1, 4, 4, 2, 4, 4, 1, 4, 2, 3, 1, 2, 2, 0, 4, 4, 0, 3, 4, 3, 1, 3, 1, 4, 4, 0, 2, 0, 4, 4, 4, 2, 2, 0, 2, 0, 1, 2, 3, 2, 4, 2, 4, 3, 1, 2, 2, 3, 2, 4, 0, 0, 0, 0, 2, 1, 1, 4, 3, 3, 2, 4, 2, 3, 3, 4, 2, 2, 3, 2, 2, 0, 0, 0, 1, 3, 1, 0, 2, 4, 4, 1, 2, 1, 0, 2, 2, 2, 1, 3, 2, 3, 1, 4, 1, 0, 2, 1, 2, 1, 4, 0, 2, 1, 3, 3, 0, 0, 1, 1, 0, 0, 0, 1, 4, 1, 4, 4, 4, 4, 3, 2, 3, 4, 3, 0, 1, 0, 3, 1, 0, 4, 3, 0, 4, 0, 3, 2, 1, 4, 1, 0, 0, 3, 1, 4, 1, 1, 2, 2, 2, 4, 1, 2, 4, 2, 1, 2, 1, 2, 2, 1, 3, 1, 2, 3, 3, 1, 3, 0, 0, 2, 3, 4, 4, 4, 3, 4, 2, 3, 4, 1, 4, 2, 1, 0, 0, 4, 3, 1, 3, 4, 3, 4, 0, 0, 4, 1, 3, 3, 0, 4, 0, 4, 4, 1, 4, 2, 4, 2, 3, 0, 0, 1, 0, 0, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 1, 1, 0, 3, 4, 1, 1, 3, 4, 0, 1, 0, 2, 4, 2, 0, 0, 4, 0, 3, 4, 4, 3, 0, 1, 0, 2, 4, 1, 3, 0, 2, 3, 4, 0, 2, 3, 4, 3, 0, 1, 0] pubkeycol917 = [3, 3, 1, 1, 2, 0, 1, 1, 1, 3, 2, 2, 3, 0, 0, 4, 4, 2, 4, 2, 3, 1, 1, 4, 0, 2, 0, 2, 1, 0, 3, 3, 4, 3, 1, 1, 2, 1, 4, 1, 1, 0, 1, 3, 1, 3, 1, 4, 1, 0, 1, 1, 3, 0, 3, 1, 4, 3, 2, 3, 4, 1, 2, 4, 1, 1, 4, 3, 4, 2, 0, 0, 0, 0, 4, 4, 1, 1, 0, 2, 0, 1, 0, 3, 2, 4, 3, 0, 1, 2, 4, 3, 1, 0, 1, 0, 4, 1, 4, 4, 0, 0, 0, 4, 0, 2, 2, 3, 0, 2, 3, 3, 0, 3, 2, 2, 4, 4, 0, 3, 0, 2, 2, 2, 1, 4, 1, 0, 3, 0, 2, 2, 0, 3, 4, 0, 0, 3, 4, 0, 4, 3, 2, 1, 4, 1, 0, 0, 1, 2, 0, 0, 4, 1, 2, 3, 2, 4, 2, 4, 0, 1, 4, 2, 4, 4, 2, 0, 3, 0, 4, 0, 3, 2, 4, 2, 0, 2, 1, 4, 3, 1, 0, 0, 4, 4, 2, 3, 4, 1, 2, 0, 4, 0, 2, 0, 0, 1, 1, 4, 3, 4, 3, 3, 4, 2, 3, 4, 3, 0, 4, 4, 3, 4, 3, 2, 1, 2, 3, 3, 4, 3, 3, 2, 0, 0, 4, 1, 0, 2, 1, 0, 1, 2, 4, 3, 3, 3, 0, 1, 0, 3, 2, 2, 2, 1, 0, 3, 4, 2, 0, 2, 4, 4, 4, 3, 0, 4, 1, 2, 4, 0, 2, 1, 3, 2, 3, 3, 1, 1, 2, 0, 0, 0, 1, 3, 2, 0, 3, 4, 0, 3, 4, 1, 4, 0, 4, 0, 3, 0, 4, 0, 2, 2, 3, 2, 4, 1, 4, 1, 2, 2, 1, 0, 1, 1, 3, 0, 0, 3, 4, 0, 4, 0, 4, 2, 3, 3, 4, 1, 2, 0, 3, 0, 4, 1, 1, 4, 2, 3, 3, 1, 4, 1, 1, 3, 0, 2, 3, 0, 2, 2, 0, 3, 3, 2, 0, 1, 3, 0, 3, 2, 0, 4, 4, 4, 3, 1, 1, 2, 0, 0, 4, 4, 4, 3, 3, 4, 4, 2, 0, 4, 4, 0, 0, 3, 0, 2, 3, 2, 3, 1, 3, 2, 2, 3, 0, 2, 3, 1, 0, 1, 4, 1, 4, 4, 1, 4, 2, 2] pubkeycol918 = [4, 2, 3, 2, 1, 0, 3, 4, 1, 2, 0, 0, 2, 0, 4, 3, 1, 4, 0, 1, 0, 2, 0, 3, 2, 0, 4, 2, 3, 1, 4, 0, 4, 1, 3, 0, 0, 0, 0, 1, 3, 0, 3, 3, 3, 3, 2, 1, 4, 1, 2, 3, 3, 3, 2, 4, 2, 1, 4, 2, 4, 2, 0, 0, 3, 3, 4, 0, 2, 0, 4, 2, 2, 3, 4, 4, 0, 0, 2, 1, 1, 4, 4, 3, 4, 0, 2, 3, 1, 1, 2, 1, 0, 1, 0, 4, 4, 2, 4, 2, 1, 1, 2, 3, 4, 3, 3, 0, 1, 2, 4, 3, 4, 3, 0, 0, 4, 0, 3, 2, 1, 2, 3, 4, 3, 3, 4, 0, 1, 4, 0, 4, 0, 1, 0, 0, 4, 4, 4, 4, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 4, 2, 2, 0, 3, 0, 3, 1, 0, 0, 1, 1, 4, 2, 2, 0, 2, 4, 0, 2, 0, 0, 4, 2, 0, 4, 2, 2, 3, 1, 0, 3, 1, 0, 0, 1, 3, 1, 3, 4, 1, 3, 0, 2, 4, 3, 0, 0, 2, 2, 4, 1, 4, 1, 4, 4, 1, 2, 2, 3, 4, 0, 2, 0, 2, 3, 4, 4, 0, 4, 3, 0, 4, 4, 2, 3, 1, 2, 3, 1, 4, 4, 1, 1, 0, 1, 2, 2, 3, 2, 3, 4, 3, 4, 1, 0, 0, 0, 3, 1, 0, 3, 3, 0, 2, 0, 3, 3, 4, 4, 3, 1, 0, 0, 1, 1, 4, 1, 0, 4, 2, 1, 3, 0, 4, 0, 2, 3, 1, 4, 3, 4, 3, 3, 1, 1, 0, 4, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 3, 4, 1, 2, 4, 2, 4, 2, 1, 3, 1, 2, 3, 0, 2, 1, 2, 3, 0, 2, 3, 0, 2, 3, 4, 3, 0, 1, 3, 4, 1, 4, 3, 4, 4, 1, 1, 0, 2, 0, 3, 2, 3, 1, 4, 4, 3, 1, 1, 2, 3, 2, 0, 4, 3, 4, 3, 0, 3, 0, 1, 2, 4, 3, 3, 0, 4, 3, 4, 0, 4, 4, 0, 4, 4, 0, 3, 1, 0, 1, 3, 0, 2, 4, 4, 1, 4, 1, 4, 4, 4, 0, 4, 0, 0, 0, 1, 2] pubkeycol919 = [0, 4, 4, 2, 4, 1, 4, 3, 4, 3, 1, 0, 4, 4, 4, 4, 3, 1, 3, 3, 3, 4, 4, 2, 3, 3, 0, 2, 2, 2, 0, 1, 2, 4, 3, 1, 3, 4, 4, 2, 3, 0, 0, 4, 0, 4, 2, 0, 3, 1, 4, 1, 1, 0, 1, 0, 0, 4, 0, 0, 3, 0, 1, 4, 2, 2, 1, 0, 1, 2, 2, 4, 3, 3, 1, 1, 1, 4, 4, 3, 0, 3, 1, 3, 3, 0, 2, 4, 0, 1, 0, 2, 1, 3, 0, 1, 4, 3, 4, 4, 1, 2, 1, 4, 4, 3, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 3, 3, 0, 0, 1, 2, 1, 2, 1, 2, 2, 4, 1, 0, 3, 3, 4, 0, 3, 3, 1, 1, 2, 3, 4, 1, 1, 4, 3, 2, 4, 4, 2, 3, 1, 0, 2, 2, 0, 2, 2, 0, 4, 4, 4, 2, 2, 4, 0, 3, 2, 3, 3, 3, 1, 4, 3, 0, 2, 3, 2, 1, 0, 4, 1, 0, 0, 1, 2, 4, 2, 2, 0, 3, 1, 0, 0, 1, 0, 0, 1, 3, 2, 4, 0, 4, 4, 1, 4, 4, 3, 3, 1, 4, 1, 3, 2, 0, 3, 4, 2, 2, 1, 1, 3, 3, 0, 4, 4, 0, 1, 1, 0, 4, 0, 0, 2, 1, 1, 2, 4, 2, 1, 0, 0, 0, 1, 4, 1, 2, 1, 0, 0, 4, 4, 3, 3, 0, 1, 0, 1, 3, 2, 3, 4, 1, 0, 0, 1, 3, 0, 4, 2, 0, 2, 1, 0, 4, 0, 3, 4, 3, 0, 1, 1, 0, 4, 0, 3, 1, 4, 1, 0, 0, 4, 4, 4, 2, 0, 3, 2, 2, 0, 4, 2, 3, 3, 2, 0, 4, 1, 2, 2, 3, 0, 1, 0, 4, 4, 1, 1, 0, 1, 4, 4, 0, 3, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 3, 2, 3, 0, 3, 4, 2, 4, 4, 3, 3, 3, 1, 1, 0, 1, 1, 2, 4, 2, 3, 1, 3, 3, 1, 4, 0, 2, 3, 1, 0, 2, 3, 0, 0, 1, 1, 2, 3, 3, 1, 0, 3, 2, 0, 3, 4, 1, 2, 2, 3, 0, 0, 1, 0, 1, 1, 3, 0, 2, 3, 4, 4, 3, 3, 1] pubkeycol920 = [1, 3, 4, 2, 3, 1, 4, 2, 1, 3, 3, 1, 1, 0, 0, 4, 4, 1, 1, 1, 0, 4, 4, 4, 3, 4, 4, 3, 4, 1, 3, 2, 2, 2, 4, 0, 4, 2, 2, 1, 4, 1, 2, 1, 1, 1, 2, 3, 2, 3, 4, 4, 0, 3, 0, 0, 4, 0, 3, 3, 3, 4, 0, 2, 0, 1, 2, 0, 1, 0, 2, 4, 2, 2, 4, 4, 0, 4, 3, 1, 3, 2, 4, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 4, 1, 2, 3, 2, 0, 0, 1, 4, 0, 2, 0, 2, 4, 4, 3, 1, 4, 2, 0, 2, 0, 4, 2, 0, 3, 3, 3, 4, 4, 1, 1, 2, 3, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 3, 2, 2, 1, 3, 2, 2, 2, 0, 3, 3, 1, 4, 4, 0, 0, 0, 0, 3, 2, 4, 3, 0, 2, 3, 0, 0, 1, 3, 2, 4, 2, 1, 3, 4, 3, 2, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 3, 2, 3, 0, 1, 1, 4, 4, 3, 1, 4, 2, 0, 2, 1, 3, 3, 1, 0, 4, 2, 3, 3, 3, 1, 3, 4, 2, 3, 4, 3, 2, 2, 2, 0, 3, 3, 3, 4, 1, 2, 0, 3, 4, 3, 2, 4, 2, 4, 3, 0, 2, 4, 2, 0, 4, 3, 1, 2, 0, 3, 4, 2, 1, 3, 2, 4, 0, 1, 2, 4, 3, 1, 0, 2, 3, 4, 0, 0, 0, 1, 0, 3, 3, 1, 4, 4, 4, 0, 1, 0, 3, 1, 4, 0, 1, 2, 1, 1, 2, 4, 4, 0, 1, 3, 2, 3, 0, 2, 0, 1, 2, 0, 2, 3, 3, 1, 2, 1, 0, 2, 2, 4, 1, 0, 2, 2, 4, 4, 4, 1, 0, 4, 1, 0, 3, 1, 2, 2, 0, 4, 0, 0, 2, 1, 3, 2, 3, 1, 3, 0, 0, 2, 2, 4, 0, 1, 2, 0, 4, 1, 3, 2, 1, 3, 3, 1, 0, 1, 3, 0, 0, 3, 1, 4, 4, 3, 3, 3, 0, 4, 3, 3, 3, 2, 0, 2, 4, 0, 0, 1, 3, 0, 0, 3, 0, 3, 4, 3, 1, 0, 0, 0, 0, 1, 3, 0, 0, 3, 1, 3, 1, 0, 4] pubkeycol921 = [2, 1, 2, 3, 0, 2, 0, 1, 0, 4, 0, 2, 2, 1, 2, 2, 1, 0, 4, 4, 1, 4, 0, 4, 3, 1, 0, 0, 3, 3, 3, 0, 0, 0, 1, 1, 4, 0, 0, 0, 0, 0, 4, 0, 4, 2, 0, 2, 3, 0, 3, 3, 0, 1, 1, 1, 1, 1, 0, 1, 1, 4, 2, 3, 3, 1, 2, 0, 0, 4, 1, 2, 2, 1, 2, 2, 3, 3, 2, 0, 3, 2, 4, 3, 3, 1, 1, 3, 4, 3, 1, 0, 2, 2, 2, 3, 2, 3, 0, 1, 1, 4, 1, 1, 3, 0, 4, 1, 1, 0, 3, 2, 4, 0, 1, 2, 4, 3, 0, 1, 3, 1, 4, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 1, 4, 4, 4, 2, 1, 1, 1, 2, 4, 4, 4, 1, 2, 3, 3, 0, 4, 2, 4, 3, 1, 4, 4, 1, 0, 1, 0, 3, 4, 3, 2, 1, 1, 3, 1, 0, 0, 0, 0, 4, 4, 1, 0, 3, 3, 4, 2, 1, 0, 1, 3, 1, 0, 4, 1, 2, 0, 4, 0, 4, 0, 4, 4, 3, 2, 0, 2, 3, 0, 0, 4, 4, 3, 0, 2, 3, 4, 2, 3, 3, 3, 4, 4, 1, 3, 3, 0, 0, 3, 3, 1, 4, 4, 4, 1, 1, 1, 0, 4, 1, 2, 3, 0, 0, 2, 0, 0, 0, 0, 4, 2, 3, 2, 3, 3, 0, 1, 4, 4, 4, 4, 1, 1, 0, 4, 4, 4, 1, 0, 1, 0, 0, 2, 1, 3, 4, 1, 4, 0, 3, 3, 4, 0, 3, 1, 0, 3, 3, 1, 2, 3, 1, 0, 4, 1, 0, 4, 4, 3, 1, 3, 4, 3, 4, 1, 1, 4, 2, 3, 1, 4, 3, 0, 1, 0, 3, 0, 0, 0, 4, 3, 4, 0, 4, 4, 0, 0, 1, 1, 4, 0, 0, 4, 3, 3, 4, 0, 0, 2, 2, 4, 0, 3, 0, 1, 0, 3, 4, 4, 1, 2, 4, 4, 0, 0, 0, 3, 1, 0, 2, 2, 1, 4, 1, 4, 2, 1, 4, 3, 4, 3, 1, 1, 1, 0, 4, 0, 1, 2, 3, 4, 4, 4, 0, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 2] pubkeycol922 = [0, 2, 3, 2, 1, 1, 4, 4, 3, 3, 4, 4, 2, 3, 2, 3, 1, 4, 2, 1, 4, 4, 2, 4, 1, 2, 2, 0, 1, 3, 4, 4, 0, 4, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 4, 0, 1, 0, 0, 4, 1, 3, 3, 1, 0, 4, 3, 4, 1, 4, 0, 1, 1, 2, 4, 2, 1, 4, 0, 2, 1, 1, 2, 1, 0, 4, 2, 1, 4, 2, 0, 0, 3, 0, 4, 3, 1, 3, 2, 4, 3, 3, 3, 2, 1, 2, 3, 0, 0, 0, 2, 3, 2, 0, 0, 0, 3, 3, 4, 3, 3, 2, 3, 1, 2, 1, 4, 1, 3, 4, 2, 4, 0, 2, 2, 3, 4, 0, 3, 4, 4, 2, 4, 1, 4, 1, 4, 2, 2, 1, 2, 0, 1, 2, 0, 4, 1, 1, 3, 4, 0, 4, 3, 0, 1, 0, 1, 1, 4, 3, 0, 4, 1, 0, 4, 1, 2, 1, 4, 1, 3, 4, 0, 0, 3, 2, 4, 1, 1, 3, 1, 1, 2, 3, 3, 0, 1, 0, 3, 3, 0, 2, 1, 1, 2, 0, 4, 2, 0, 1, 1, 0, 1, 4, 2, 4, 1, 2, 3, 1, 0, 4, 1, 2, 3, 1, 4, 1, 2, 0, 1, 0, 3, 4, 2, 4, 2, 2, 3, 4, 1, 0, 4, 4, 0, 1, 1, 1, 4, 4, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 4, 4, 4, 3, 1, 0, 3, 0, 4, 1, 3, 1, 0, 2, 0, 1, 1, 0, 1, 3, 0, 3, 1, 0, 0, 1, 1, 4, 3, 3, 3, 3, 1, 4, 2, 3, 0, 4, 3, 0, 3, 3, 1, 4, 3, 3, 1, 2, 0, 2, 0, 0, 1, 1, 4, 4, 3, 4, 4, 0, 3, 1, 4, 2, 2, 0, 1, 2, 3, 2, 3, 1, 1, 2, 0, 4, 3, 1, 4, 3, 2, 1, 1, 2, 2, 0, 1, 4, 4, 1, 2, 4, 1, 0, 1, 3, 1, 4, 3, 1, 1, 2, 1, 4, 1, 4, 2, 3, 4, 1, 3, 4, 3, 2, 2, 4, 0, 1, 0, 1, 0, 3, 4, 0, 1, 1, 0, 3, 0, 1, 0, 0, 2, 2, 4, 4, 2, 3, 0, 0, 0, 4, 3, 3, 2, 1, 1] pubkeycol923 = [1, 2, 4, 0, 0, 1, 3, 1, 4, 1, 1, 0, 3, 0, 2, 0, 2, 3, 0, 0, 4, 1, 3, 0, 3, 2, 1, 0, 0, 0, 0, 2, 1, 4, 1, 0, 3, 4, 4, 4, 4, 1, 1, 1, 0, 1, 2, 2, 1, 4, 3, 2, 2, 4, 4, 3, 0, 1, 3, 1, 4, 1, 2, 3, 1, 2, 4, 3, 1, 2, 2, 3, 4, 4, 2, 1, 3, 0, 4, 1, 2, 3, 4, 4, 4, 4, 3, 1, 0, 1, 1, 3, 0, 1, 4, 4, 4, 3, 2, 0, 2, 1, 1, 2, 4, 0, 4, 3, 4, 0, 4, 3, 0, 4, 2, 0, 2, 1, 3, 1, 1, 3, 2, 2, 3, 0, 0, 2, 1, 0, 2, 3, 4, 0, 3, 3, 4, 0, 0, 4, 4, 0, 4, 4, 3, 2, 4, 4, 3, 0, 3, 3, 2, 2, 2, 2, 4, 1, 2, 1, 1, 0, 2, 4, 0, 1, 1, 0, 2, 2, 2, 0, 0, 4, 3, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 3, 3, 1, 2, 3, 2, 0, 3, 3, 3, 1, 1, 0, 1, 4, 1, 0, 0, 1, 3, 4, 4, 0, 0, 0, 1, 2, 4, 0, 1, 4, 2, 0, 4, 3, 4, 0, 0, 4, 4, 0, 4, 3, 0, 4, 1, 3, 4, 0, 4, 2, 1, 3, 0, 1, 1, 4, 4, 3, 4, 1, 0, 4, 3, 3, 1, 4, 4, 3, 4, 0, 4, 3, 4, 4, 4, 3, 0, 4, 3, 3, 3, 1, 3, 1, 2, 3, 2, 4, 4, 0, 4, 0, 1, 4, 2, 1, 3, 4, 0, 4, 3, 3, 2, 3, 3, 0, 2, 4, 1, 1, 2, 0, 0, 3, 4, 1, 4, 1, 4, 3, 2, 1, 4, 4, 4, 3, 0, 3, 1, 2, 2, 0, 2, 3, 1, 4, 0, 2, 2, 1, 3, 3, 4, 0, 1, 4, 2, 3, 4, 3, 3, 0, 4, 1, 4, 4, 4, 4, 2, 0, 3, 4, 1, 4, 1, 3, 0, 1, 4, 3, 3, 4, 0, 1, 1, 2, 3, 0, 2, 0, 1, 3, 2, 0, 1, 1, 1, 0, 3, 0, 4, 2, 4, 1, 0, 2, 3, 3, 0, 1, 1, 2, 3, 2, 4, 3, 1, 0, 0, 0, 3, 0, 0, 0] pubkeycol924 = [1, 4, 1, 4, 1, 0, 2, 3, 1, 2, 4, 1, 1, 0, 0, 0, 0, 4, 1, 4, 1, 0, 3, 0, 1, 3, 3, 2, 4, 0, 0, 1, 2, 3, 3, 2, 3, 0, 4, 3, 4, 3, 4, 1, 3, 0, 2, 0, 4, 3, 3, 1, 3, 2, 4, 3, 0, 4, 2, 2, 1, 0, 4, 4, 3, 0, 2, 4, 4, 1, 2, 0, 4, 2, 3, 1, 2, 0, 3, 0, 2, 3, 3, 1, 1, 0, 0, 2, 4, 4, 0, 3, 1, 3, 0, 3, 3, 3, 2, 2, 2, 4, 0, 3, 4, 1, 1, 1, 0, 0, 3, 2, 4, 2, 1, 2, 2, 2, 4, 4, 3, 3, 4, 1, 1, 4, 2, 1, 0, 2, 1, 2, 4, 2, 4, 0, 3, 4, 0, 4, 1, 1, 2, 2, 3, 0, 4, 1, 2, 4, 3, 4, 0, 3, 2, 4, 1, 1, 0, 1, 3, 0, 2, 3, 2, 4, 0, 3, 2, 0, 1, 0, 1, 1, 2, 0, 3, 1, 1, 0, 4, 0, 4, 1, 4, 1, 3, 4, 3, 3, 1, 1, 1, 2, 2, 3, 2, 2, 4, 0, 3, 3, 0, 1, 1, 3, 3, 2, 0, 3, 1, 3, 0, 2, 0, 1, 1, 1, 4, 3, 3, 4, 1, 4, 3, 4, 0, 1, 3, 1, 0, 4, 3, 1, 4, 0, 3, 2, 4, 0, 1, 1, 4, 0, 0, 3, 0, 1, 0, 0, 2, 0, 3, 2, 4, 3, 3, 3, 2, 4, 3, 3, 4, 4, 1, 3, 1, 1, 3, 0, 1, 2, 4, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 3, 2, 0, 2, 1, 3, 4, 2, 4, 2, 1, 4, 4, 3, 4, 0, 3, 3, 1, 2, 2, 0, 4, 0, 0, 4, 4, 3, 2, 2, 0, 1, 0, 3, 3, 1, 3, 0, 2, 3, 0, 0, 1, 1, 0, 0, 3, 0, 3, 3, 3, 3, 3, 1, 0, 1, 2, 2, 2, 3, 0, 0, 0, 0, 1, 4, 0, 4, 3, 0, 2, 3, 1, 0, 0, 2, 2, 1, 2, 2, 3, 3, 3, 1, 2, 3, 3, 3, 4, 3, 1, 3, 2, 1, 2, 1, 0, 4, 3, 2, 0, 2, 3, 3, 3, 0, 4, 3, 3, 4, 4, 2, 2, 0, 0, 0] pubkeycol925 = [0, 0, 0, 4, 4, 3, 2, 3, 1, 0, 1, 4, 4, 0, 1, 2, 3, 3, 1, 0, 3, 4, 4, 3, 2, 2, 0, 4, 0, 1, 4, 2, 3, 4, 1, 3, 1, 2, 3, 1, 0, 4, 2, 1, 3, 1, 1, 1, 3, 0, 4, 4, 3, 0, 2, 4, 3, 1, 2, 4, 4, 3, 0, 4, 3, 4, 4, 0, 2, 0, 4, 1, 4, 0, 2, 3, 3, 1, 3, 1, 0, 3, 3, 0, 0, 2, 2, 2, 0, 1, 2, 4, 3, 3, 0, 2, 3, 1, 3, 0, 0, 0, 0, 2, 1, 2, 3, 0, 4, 0, 0, 1, 4, 4, 3, 0, 1, 2, 3, 0, 3, 1, 0, 4, 4, 2, 4, 0, 0, 0, 4, 3, 1, 3, 0, 2, 3, 2, 1, 3, 4, 4, 4, 1, 1, 4, 0, 0, 2, 2, 0, 2, 2, 3, 3, 1, 1, 4, 1, 1, 4, 2, 1, 2, 2, 4, 1, 0, 0, 3, 0, 1, 1, 0, 1, 0, 0, 2, 4, 2, 0, 1, 4, 3, 0, 3, 3, 2, 2, 0, 0, 4, 3, 1, 3, 1, 4, 1, 2, 1, 2, 1, 1, 3, 0, 3, 3, 2, 4, 2, 2, 1, 1, 0, 2, 0, 0, 3, 0, 1, 3, 0, 0, 2, 1, 0, 2, 4, 2, 0, 2, 1, 0, 0, 3, 2, 3, 2, 2, 1, 1, 2, 4, 1, 2, 4, 2, 3, 0, 1, 3, 0, 2, 1, 2, 1, 3, 3, 3, 0, 1, 3, 3, 3, 3, 4, 3, 2, 2, 1, 3, 1, 3, 1, 2, 3, 4, 3, 0, 4, 1, 0, 3, 4, 2, 0, 3, 4, 1, 2, 4, 3, 2, 2, 2, 1, 2, 3, 4, 2, 1, 2, 1, 0, 2, 4, 3, 0, 0, 0, 2, 3, 1, 2, 2, 0, 4, 3, 4, 1, 1, 4, 4, 2, 2, 0, 1, 0, 1, 4, 3, 0, 4, 0, 4, 2, 1, 0, 2, 0, 3, 1, 0, 3, 1, 4, 4, 1, 4, 1, 2, 4, 4, 1, 1, 3, 3, 1, 3, 3, 2, 0, 3, 2, 1, 1, 3, 1, 2, 1, 2, 2, 3, 2, 1, 0, 0, 0, 4, 2, 1, 3, 1, 1, 1, 0, 2, 3, 2, 0, 2, 0, 2, 1, 4, 3, 0, 3, 4, 2] pubkeycol926 = [4, 3, 0, 1, 2, 4, 4, 2, 0, 0, 3, 4, 1, 4, 3, 1, 1, 3, 0, 1, 1, 3, 4, 2, 4, 1, 3, 2, 4, 4, 0, 2, 0, 0, 3, 4, 1, 0, 4, 0, 2, 3, 0, 4, 3, 4, 2, 2, 4, 0, 0, 4, 3, 0, 4, 2, 0, 0, 0, 3, 1, 2, 1, 1, 2, 3, 4, 0, 4, 4, 2, 1, 4, 2, 1, 4, 4, 2, 0, 0, 2, 1, 3, 2, 0, 1, 0, 0, 0, 0, 4, 0, 1, 0, 1, 4, 4, 4, 1, 2, 0, 2, 2, 2, 0, 3, 1, 1, 1, 4, 2, 2, 2, 4, 0, 1, 3, 4, 0, 0, 1, 4, 2, 4, 1, 0, 4, 4, 4, 3, 2, 0, 4, 1, 0, 0, 1, 4, 3, 2, 0, 3, 4, 2, 0, 3, 3, 0, 4, 0, 1, 0, 3, 4, 1, 0, 4, 1, 3, 0, 0, 2, 4, 3, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 3, 0, 3, 1, 2, 0, 0, 1, 1, 0, 4, 4, 1, 0, 4, 2, 1, 4, 4, 3, 2, 3, 4, 3, 3, 3, 4, 3, 2, 0, 0, 2, 1, 0, 3, 1, 3, 3, 2, 0, 2, 1, 4, 4, 0, 0, 4, 0, 0, 2, 4, 2, 4, 2, 1, 0, 2, 1, 3, 1, 3, 3, 2, 1, 0, 4, 1, 3, 4, 3, 4, 4, 2, 3, 2, 1, 2, 3, 4, 0, 0, 3, 4, 1, 4, 2, 4, 0, 0, 0, 0, 0, 3, 2, 4, 1, 3, 0, 4, 2, 2, 2, 4, 2, 4, 1, 0, 2, 2, 4, 2, 3, 3, 3, 0, 1, 3, 4, 4, 1, 4, 3, 2, 3, 4, 1, 4, 2, 0, 3, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 4, 1, 0, 3, 0, 4, 4, 4, 3, 4, 3, 0, 0, 0, 2, 3, 4, 0, 0, 0, 1, 4, 4, 3, 2, 0, 3, 2, 3, 2, 2, 3, 0, 4, 1, 1, 3, 1, 0, 3, 1, 0, 4, 0, 2, 2, 4, 1, 1, 4, 3, 2, 2, 4, 2, 3, 4, 4, 3, 0, 1, 3, 4, 3, 0, 0, 2, 3, 3, 4, 2, 3, 1, 0, 4, 2, 4, 4, 4, 4, 4, 3, 0, 4] pubkeycol927 = [0, 4, 3, 1, 2, 3, 0, 3, 1, 4, 1, 1, 4, 3, 4, 4, 1, 4, 2, 2, 4, 4, 2, 4, 1, 4, 0, 1, 1, 4, 1, 3, 2, 1, 1, 2, 2, 4, 3, 2, 3, 2, 2, 3, 4, 4, 4, 3, 1, 2, 2, 1, 0, 1, 2, 4, 3, 2, 3, 0, 3, 0, 1, 1, 4, 1, 0, 1, 2, 4, 4, 1, 1, 4, 3, 1, 4, 3, 3, 1, 1, 4, 2, 1, 2, 1, 4, 2, 1, 2, 0, 1, 4, 1, 3, 2, 2, 3, 0, 4, 4, 2, 4, 3, 4, 3, 1, 0, 0, 3, 2, 0, 2, 4, 1, 3, 3, 1, 3, 4, 0, 0, 4, 2, 0, 1, 1, 4, 1, 3, 1, 0, 3, 0, 2, 1, 3, 2, 1, 0, 3, 3, 1, 2, 4, 4, 2, 2, 2, 4, 2, 0, 3, 2, 0, 1, 4, 2, 2, 1, 4, 1, 4, 2, 1, 4, 0, 3, 3, 4, 3, 0, 2, 4, 3, 1, 1, 2, 3, 4, 1, 0, 4, 4, 3, 1, 0, 2, 3, 4, 1, 1, 4, 1, 4, 2, 2, 1, 0, 2, 3, 1, 3, 4, 2, 1, 3, 3, 3, 3, 2, 2, 2, 2, 0, 3, 4, 4, 0, 1, 3, 3, 2, 3, 3, 4, 4, 1, 0, 0, 3, 4, 3, 4, 2, 0, 2, 3, 1, 4, 1, 0, 0, 3, 0, 3, 2, 1, 1, 4, 4, 1, 1, 4, 4, 0, 4, 0, 3, 4, 4, 3, 0, 1, 4, 0, 0, 1, 3, 2, 1, 4, 1, 1, 1, 1, 4, 4, 1, 1, 3, 0, 3, 0, 3, 3, 0, 4, 4, 1, 3, 4, 1, 0, 2, 0, 2, 1, 1, 1, 4, 3, 2, 3, 1, 3, 0, 3, 3, 3, 0, 2, 0, 3, 1, 0, 1, 2, 0, 0, 2, 2, 2, 3, 1, 0, 0, 2, 3, 1, 1, 3, 4, 0, 1, 1, 0, 3, 1, 4, 2, 0, 4, 2, 2, 4, 2, 2, 3, 3, 2, 1, 2, 4, 1, 3, 4, 4, 3, 3, 0, 4, 4, 0, 4, 4, 1, 4, 0, 4, 2, 0, 3, 0, 3, 3, 4, 0, 2, 1, 1, 1, 4, 0, 2, 1, 2, 0, 3, 0, 2, 1, 2, 3, 0, 3, 3, 1, 4, 4] pubkeycol928 = [2, 2, 0, 4, 4, 1, 1, 3, 2, 4, 1, 0, 4, 3, 3, 4, 1, 1, 4, 2, 0, 4, 3, 0, 0, 4, 0, 0, 2, 3, 1, 3, 2, 2, 4, 2, 4, 3, 4, 2, 0, 0, 2, 3, 1, 3, 2, 4, 2, 2, 1, 4, 3, 1, 3, 4, 0, 2, 3, 4, 4, 0, 1, 3, 3, 3, 4, 2, 2, 2, 2, 2, 4, 0, 3, 3, 1, 0, 4, 3, 3, 1, 1, 2, 3, 2, 1, 1, 1, 1, 3, 4, 2, 2, 0, 1, 4, 2, 0, 3, 4, 2, 0, 3, 0, 4, 3, 4, 4, 1, 1, 3, 2, 4, 4, 1, 1, 3, 1, 3, 1, 3, 0, 4, 1, 3, 2, 4, 3, 0, 2, 3, 2, 3, 3, 2, 0, 2, 4, 2, 4, 0, 0, 2, 0, 1, 1, 1, 4, 3, 1, 1, 2, 0, 3, 3, 0, 1, 0, 2, 0, 1, 1, 4, 4, 2, 1, 4, 3, 1, 2, 3, 4, 0, 4, 2, 1, 3, 2, 2, 0, 1, 4, 3, 3, 3, 4, 4, 4, 0, 3, 4, 3, 4, 4, 1, 4, 1, 0, 3, 4, 3, 1, 3, 3, 2, 4, 4, 0, 0, 1, 1, 3, 3, 0, 3, 3, 3, 2, 4, 2, 0, 2, 3, 1, 2, 4, 4, 1, 0, 4, 3, 1, 0, 3, 3, 0, 4, 2, 2, 0, 4, 4, 1, 3, 4, 1, 0, 4, 0, 4, 1, 4, 4, 3, 2, 1, 2, 4, 0, 4, 2, 1, 3, 2, 2, 0, 2, 1, 3, 0, 1, 4, 4, 3, 1, 2, 2, 1, 1, 3, 3, 3, 4, 2, 1, 0, 2, 0, 2, 3, 0, 3, 4, 3, 4, 0, 1, 3, 0, 4, 1, 0, 1, 3, 1, 3, 1, 1, 0, 2, 2, 1, 2, 3, 1, 4, 2, 1, 1, 0, 4, 3, 1, 1, 3, 1, 0, 2, 4, 4, 0, 4, 3, 1, 0, 1, 4, 0, 1, 1, 4, 2, 0, 4, 2, 2, 2, 1, 3, 4, 0, 0, 4, 1, 3, 0, 0, 3, 2, 2, 1, 1, 0, 0, 0, 1, 4, 2, 4, 4, 4, 1, 0, 4, 2, 3, 0, 2, 0, 2, 2, 1, 4, 4, 2, 3, 4, 2, 1, 3, 4, 0, 1, 4, 0, 2, 2, 0, 1] pubkeycol929 = [2, 1, 3, 0, 3, 2, 1, 3, 1, 3, 0, 1, 0, 3, 1, 4, 0, 4, 4, 2, 3, 1, 0, 3, 1, 2, 1, 3, 0, 4, 4, 0, 1, 0, 3, 2, 4, 3, 2, 3, 3, 0, 0, 1, 1, 1, 0, 2, 1, 4, 0, 0, 1, 4, 4, 1, 0, 4, 1, 0, 0, 3, 3, 4, 4, 4, 4, 4, 4, 3, 0, 1, 0, 3, 1, 3, 2, 4, 2, 4, 1, 2, 1, 3, 0, 0, 3, 1, 1, 2, 3, 4, 4, 0, 4, 3, 0, 3, 1, 3, 4, 1, 4, 3, 0, 3, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 2, 0, 0, 4, 4, 2, 0, 0, 3, 1, 0, 2, 4, 1, 1, 1, 0, 2, 0, 0, 1, 3, 2, 1, 1, 3, 1, 4, 4, 4, 1, 4, 0, 2, 2, 0, 2, 4, 2, 2, 4, 4, 2, 0, 2, 4, 3, 1, 1, 0, 3, 4, 0, 4, 1, 3, 4, 0, 3, 0, 1, 3, 3, 2, 0, 1, 3, 2, 0, 0, 1, 4, 0, 3, 4, 2, 1, 4, 0, 3, 4, 0, 1, 1, 2, 2, 1, 3, 2, 0, 4, 0, 3, 0, 2, 0, 1, 4, 1, 1, 2, 4, 2, 1, 1, 3, 1, 3, 3, 4, 0, 0, 3, 2, 2, 3, 1, 2, 3, 1, 0, 2, 4, 2, 3, 3, 0, 2, 1, 4, 3, 1, 1, 1, 3, 0, 4, 3, 0, 4, 2, 3, 2, 0, 4, 1, 2, 1, 0, 3, 2, 1, 0, 1, 3, 0, 3, 0, 0, 2, 3, 1, 4, 0, 0, 3, 0, 2, 1, 2, 0, 3, 3, 3, 0, 4, 4, 2, 3, 1, 4, 2, 1, 2, 2, 3, 2, 2, 0, 1, 2, 3, 4, 1, 1, 0, 0, 2, 1, 0, 1, 3, 3, 2, 2, 4, 0, 1, 3, 2, 3, 0, 3, 0, 0, 4, 0, 3, 1, 1, 1, 2, 4, 4, 4, 4, 2, 2, 3, 4, 0, 2, 3, 0, 0, 4, 1, 4, 1, 4, 1, 0, 4, 2, 2, 0, 0, 1, 3, 4, 0, 0, 1, 3, 3, 3, 4, 3, 2, 3, 1, 3, 3, 2, 3, 0, 3, 0, 0, 1, 1, 2, 0, 4, 4, 1, 0, 1, 3, 1, 4, 2] pubkeycol930 = [2, 0, 0, 3, 4, 1, 1, 2, 3, 4, 0, 3, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 2, 4, 0, 3, 4, 4, 0, 0, 3, 2, 0, 4, 3, 1, 2, 4, 1, 3, 1, 1, 4, 0, 4, 0, 3, 2, 1, 4, 4, 4, 4, 0, 2, 1, 3, 0, 0, 3, 0, 1, 1, 4, 3, 0, 3, 0, 1, 3, 2, 4, 2, 3, 1, 4, 0, 3, 3, 2, 4, 2, 4, 2, 0, 3, 3, 0, 4, 0, 2, 4, 3, 0, 3, 1, 4, 3, 0, 4, 3, 1, 1, 2, 1, 2, 3, 1, 2, 1, 1, 1, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 0, 4, 1, 0, 2, 0, 4, 3, 4, 0, 1, 1, 3, 4, 2, 2, 2, 4, 0, 3, 2, 3, 3, 4, 4, 2, 0, 0, 4, 2, 4, 1, 3, 2, 3, 3, 4, 0, 2, 2, 3, 4, 0, 1, 3, 0, 1, 1, 3, 3, 4, 3, 2, 0, 4, 3, 0, 2, 1, 3, 1, 2, 4, 1, 3, 4, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 3, 2, 4, 2, 0, 1, 3, 2, 4, 4, 0, 0, 3, 3, 1, 4, 3, 2, 4, 1, 2, 1, 2, 1, 2, 0, 1, 3, 3, 1, 2, 3, 2, 0, 4, 4, 1, 3, 1, 3, 2, 4, 0, 1, 1, 0, 1, 2, 0, 2, 3, 2, 2, 1, 3, 0, 1, 3, 3, 1, 3, 4, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 4, 3, 0, 3, 1, 4, 3, 3, 0, 4, 3, 2, 2, 1, 0, 0, 1, 2, 4, 4, 4, 0, 0, 1, 0, 0, 2, 4, 2, 0, 4, 3, 1, 0, 4, 2, 3, 0, 1, 1, 3, 4, 4, 0, 3, 1, 4, 4, 0, 4, 0, 4, 2, 1, 0, 3, 3, 2, 2, 1, 0, 1, 1, 1, 3, 2, 1, 2, 0, 4, 2, 4, 4, 1, 2, 4, 3, 0, 0, 4, 1, 0, 4, 2, 0, 1, 1, 4, 1, 3, 1, 4, 1, 1, 2, 2, 2, 1, 1, 1, 1, 4, 1, 2, 1, 3, 2, 0, 4, 3, 3, 3, 2, 3, 1, 4, 2, 1, 2, 0, 1, 0, 2, 0, 4, 4, 2, 2] pubkeycol931 = [2, 1, 4, 1, 4, 4, 1, 2, 4, 4, 0, 0, 4, 3, 3, 2, 2, 4, 2, 3, 4, 2, 1, 2, 2, 2, 0, 3, 4, 0, 1, 0, 4, 2, 0, 1, 2, 2, 0, 3, 0, 0, 2, 2, 2, 3, 0, 1, 1, 2, 2, 3, 1, 0, 4, 4, 4, 1, 4, 1, 1, 3, 1, 3, 4, 0, 2, 1, 0, 1, 3, 1, 1, 1, 0, 0, 1, 3, 3, 4, 1, 1, 4, 1, 1, 4, 4, 4, 0, 4, 2, 0, 3, 3, 1, 2, 1, 2, 0, 4, 0, 4, 4, 3, 2, 4, 4, 0, 3, 0, 2, 1, 1, 3, 0, 4, 1, 4, 0, 3, 2, 0, 3, 0, 1, 3, 2, 3, 4, 1, 0, 3, 4, 3, 1, 1, 1, 3, 3, 0, 1, 4, 3, 2, 1, 4, 4, 0, 2, 2, 4, 3, 4, 2, 1, 4, 0, 3, 1, 4, 3, 2, 0, 2, 3, 0, 0, 3, 3, 1, 2, 0, 0, 2, 4, 1, 2, 1, 3, 0, 3, 2, 4, 1, 1, 4, 4, 2, 1, 4, 0, 3, 3, 4, 4, 3, 3, 3, 1, 3, 4, 3, 3, 0, 4, 3, 2, 4, 3, 0, 3, 2, 2, 3, 2, 2, 4, 2, 2, 0, 3, 4, 3, 1, 3, 1, 1, 0, 3, 2, 2, 0, 4, 2, 3, 4, 2, 0, 2, 4, 3, 0, 4, 4, 0, 4, 2, 1, 3, 4, 1, 1, 4, 0, 4, 2, 0, 0, 4, 2, 2, 0, 0, 0, 4, 4, 3, 2, 3, 0, 3, 1, 4, 4, 3, 3, 1, 3, 0, 2, 3, 1, 2, 2, 3, 4, 0, 0, 2, 1, 1, 4, 4, 1, 0, 0, 1, 4, 3, 1, 2, 0, 1, 3, 3, 0, 4, 0, 3, 1, 2, 1, 1, 1, 0, 0, 3, 1, 2, 1, 3, 2, 2, 0, 0, 0, 4, 0, 4, 1, 2, 4, 3, 2, 2, 2, 4, 3, 4, 3, 2, 3, 1, 1, 3, 1, 3, 4, 0, 0, 0, 3, 4, 4, 0, 4, 1, 0, 0, 4, 3, 0, 2, 1, 2, 3, 0, 1, 4, 0, 2, 4, 2, 0, 3, 0, 1, 3, 4, 0, 0, 1, 2, 4, 3, 1, 3, 4, 0, 1, 2, 3, 0, 2, 3, 2, 4, 0, 0, 4] pubkeycol932 = [1, 2, 3, 2, 4, 3, 1, 4, 0, 0, 3, 4, 4, 2, 1, 2, 4, 1, 0, 3, 0, 0, 4, 1, 2, 2, 3, 0, 3, 2, 4, 1, 4, 3, 3, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 3, 0, 3, 1, 0, 2, 4, 1, 1, 2, 0, 1, 0, 4, 0, 2, 4, 2, 3, 2, 1, 1, 2, 3, 4, 3, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 3, 2, 0, 0, 0, 1, 0, 2, 0, 2, 3, 0, 0, 2, 2, 1, 1, 0, 3, 3, 3, 4, 1, 0, 1, 1, 3, 4, 4, 1, 2, 2, 3, 2, 4, 1, 2, 3, 0, 4, 0, 0, 4, 2, 0, 1, 0, 1, 4, 2, 4, 4, 4, 2, 2, 3, 2, 0, 0, 2, 1, 3, 3, 3, 3, 0, 3, 0, 0, 1, 2, 3, 0, 4, 4, 0, 3, 4, 2, 3, 0, 0, 2, 0, 3, 1, 3, 2, 2, 3, 1, 4, 4, 1, 2, 2, 1, 3, 0, 4, 4, 3, 2, 3, 0, 4, 3, 3, 4, 2, 0, 2, 2, 2, 4, 3, 3, 3, 4, 3, 4, 4, 2, 2, 4, 2, 4, 0, 1, 4, 1, 1, 2, 3, 3, 0, 4, 0, 3, 1, 4, 0, 1, 4, 1, 1, 0, 3, 3, 0, 0, 3, 4, 2, 1, 4, 0, 3, 1, 3, 0, 4, 1, 0, 2, 4, 0, 4, 0, 4, 3, 4, 2, 1, 3, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 4, 0, 2, 0, 3, 1, 0, 0, 4, 2, 4, 0, 4, 1, 0, 0, 2, 4, 4, 0, 2, 1, 3, 4, 4, 1, 1, 2, 1, 4, 0, 3, 3, 4, 0, 1, 2, 1, 3, 1, 4, 1, 1, 0, 0, 1, 0, 4, 0, 4, 2, 0, 1, 4, 4, 1, 0, 2, 0, 4, 0, 0, 1, 4, 2, 0, 3, 3, 4, 4, 0, 3, 3, 4, 1, 3, 1, 2, 0, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2, 4, 2, 0, 1, 4, 2, 1, 0, 0, 4, 0, 3, 1, 4, 3, 1, 0, 0, 3, 3, 1, 0, 1, 1, 3, 4, 2, 4, 0, 3, 2, 1, 2, 2, 2, 4, 0, 1, 0, 4, 1, 1, 4, 4] pubkeycol933 = [2, 1, 2, 3, 4, 3, 0, 1, 3, 4, 1, 0, 4, 4, 1, 4, 4, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 3, 0, 2, 3, 4, 4, 1, 2, 2, 2, 3, 4, 2, 4, 4, 1, 0, 4, 2, 2, 1, 4, 3, 2, 0, 4, 4, 3, 1, 3, 1, 3, 0, 1, 0, 4, 4, 3, 3, 1, 1, 4, 1, 0, 2, 4, 0, 0, 2, 2, 3, 2, 1, 0, 2, 0, 4, 2, 2, 1, 0, 2, 0, 0, 1, 3, 1, 0, 0, 0, 3, 2, 4, 4, 3, 0, 1, 1, 1, 4, 3, 0, 3, 4, 4, 3, 1, 4, 4, 2, 4, 2, 1, 3, 1, 1, 1, 4, 0, 3, 3, 1, 3, 1, 2, 1, 3, 4, 4, 4, 4, 2, 1, 2, 4, 4, 2, 4, 2, 2, 4, 2, 1, 4, 2, 4, 4, 1, 2, 4, 2, 0, 0, 0, 4, 1, 3, 2, 0, 1, 1, 0, 4, 0, 4, 0, 4, 2, 1, 2, 2, 0, 1, 4, 4, 4, 2, 0, 2, 1, 2, 0, 0, 3, 3, 0, 3, 0, 1, 4, 2, 3, 3, 3, 1, 4, 0, 3, 3, 3, 1, 4, 0, 2, 3, 2, 3, 2, 4, 1, 1, 2, 1, 1, 3, 2, 3, 4, 3, 0, 1, 1, 3, 4, 1, 3, 3, 0, 1, 0, 4, 1, 3, 1, 2, 1, 4, 0, 4, 3, 4, 0, 1, 4, 0, 3, 4, 3, 2, 3, 4, 0, 1, 3, 2, 0, 4, 4, 1, 2, 4, 3, 1, 3, 2, 3, 0, 4, 2, 0, 0, 1, 3, 3, 1, 0, 0, 4, 3, 4, 2, 4, 3, 2, 2, 0, 4, 2, 2, 3, 4, 4, 4, 2, 3, 3, 0, 2, 3, 2, 2, 4, 4, 4, 3, 3, 0, 1, 2, 2, 0, 4, 0, 3, 1, 3, 3, 1, 1, 0, 4, 2, 3, 3, 1, 2, 0, 4, 4, 3, 4, 3, 1, 4, 4, 2, 2, 3, 1, 1, 4, 0, 1, 3, 0, 4, 1, 1, 1, 3, 1, 4, 0, 0, 3, 2, 0, 1, 4, 3, 2, 4, 1, 1, 4, 2, 2, 4, 0, 1, 1, 3, 3, 1, 3, 2, 2, 3, 1, 0, 1, 2, 1, 2, 2, 3, 1, 1, 4, 1, 4, 4, 1] pubkeycol934 = [0, 2, 3, 2, 2, 3, 1, 1, 4, 1, 3, 2, 2, 2, 4, 3, 3, 0, 4, 3, 2, 4, 3, 3, 1, 2, 4, 4, 0, 1, 2, 0, 1, 0, 0, 1, 4, 3, 2, 1, 2, 4, 3, 3, 1, 2, 2, 1, 4, 1, 1, 1, 2, 0, 3, 1, 3, 0, 0, 2, 2, 1, 3, 4, 3, 4, 0, 3, 1, 4, 1, 1, 3, 0, 4, 0, 2, 3, 1, 3, 4, 3, 1, 0, 2, 4, 4, 2, 2, 0, 3, 4, 4, 2, 2, 3, 0, 0, 3, 1, 1, 4, 0, 4, 3, 2, 3, 3, 3, 3, 3, 0, 3, 0, 3, 1, 4, 3, 1, 3, 3, 0, 0, 1, 3, 1, 4, 3, 4, 1, 4, 3, 2, 2, 1, 2, 0, 0, 1, 3, 1, 2, 3, 3, 0, 2, 0, 2, 4, 3, 3, 1, 1, 4, 3, 0, 1, 1, 0, 4, 3, 0, 0, 3, 2, 4, 1, 0, 2, 1, 0, 4, 2, 2, 0, 1, 1, 4, 0, 0, 1, 2, 4, 3, 0, 4, 1, 3, 3, 4, 1, 3, 4, 2, 2, 4, 1, 2, 1, 3, 3, 0, 4, 1, 4, 1, 4, 4, 4, 0, 4, 3, 4, 2, 4, 4, 0, 4, 2, 2, 3, 0, 4, 3, 3, 2, 3, 1, 4, 2, 1, 1, 2, 0, 3, 0, 4, 4, 3, 0, 0, 4, 3, 3, 4, 4, 3, 3, 4, 2, 0, 1, 1, 4, 2, 4, 3, 3, 1, 4, 0, 0, 0, 2, 0, 2, 1, 3, 1, 3, 2, 3, 4, 0, 2, 3, 0, 4, 3, 2, 3, 1, 2, 2, 3, 4, 3, 4, 2, 0, 0, 2, 4, 0, 1, 1, 1, 0, 4, 1, 0, 0, 1, 2, 3, 2, 3, 2, 1, 3, 2, 2, 4, 3, 1, 2, 3, 2, 3, 0, 1, 2, 2, 4, 4, 0, 2, 4, 3, 1, 4, 1, 1, 1, 2, 1, 4, 2, 2, 4, 3, 3, 2, 2, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 4, 0, 2, 3, 2, 0, 2, 2, 1, 0, 3, 4, 4, 3, 3, 4, 0, 1, 4, 2, 0, 3, 0, 4, 0, 1, 0, 3, 1, 1, 3, 3, 1, 0, 4, 3, 0, 1, 2, 4, 3, 1, 2, 4, 4, 0] pubkeycol935 = [2, 3, 3, 0, 4, 2, 1, 0, 2, 0, 2, 1, 2, 4, 4, 2, 2, 4, 2, 0, 4, 2, 3, 3, 3, 3, 2, 1, 2, 0, 1, 3, 1, 2, 2, 1, 2, 3, 4, 0, 3, 2, 3, 0, 3, 0, 0, 1, 0, 1, 1, 2, 4, 3, 3, 4, 1, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 0, 4, 2, 0, 0, 0, 0, 0, 3, 1, 2, 1, 1, 0, 0, 1, 3, 1, 3, 3, 1, 2, 0, 3, 3, 2, 0, 2, 3, 2, 4, 1, 1, 1, 4, 0, 4, 2, 0, 1, 4, 4, 2, 4, 3, 4, 0, 1, 4, 4, 0, 1, 2, 1, 3, 0, 1, 0, 3, 0, 1, 1, 2, 2, 1, 2, 1, 4, 0, 3, 4, 3, 0, 4, 4, 3, 2, 1, 0, 3, 2, 2, 2, 0, 4, 2, 0, 0, 4, 4, 2, 3, 0, 0, 3, 1, 0, 4, 4, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 4, 1, 3, 2, 2, 0, 0, 3, 0, 4, 2, 1, 3, 0, 3, 2, 0, 2, 1, 3, 2, 0, 4, 1, 3, 4, 1, 4, 2, 0, 1, 0, 4, 1, 0, 0, 4, 4, 2, 2, 4, 4, 2, 2, 4, 1, 3, 3, 3, 1, 0, 2, 3, 0, 4, 3, 4, 0, 1, 0, 4, 2, 3, 0, 2, 4, 2, 1, 2, 1, 3, 0, 1, 1, 1, 3, 1, 1, 0, 1, 4, 3, 2, 0, 1, 4, 4, 0, 4, 3, 4, 2, 2, 4, 3, 1, 3, 0, 3, 2, 3, 4, 3, 1, 1, 3, 0, 2, 1, 2, 0, 4, 4, 0, 3, 3, 1, 0, 3, 1, 2, 1, 3, 3, 1, 2, 0, 0, 4, 4, 2, 0, 4, 2, 0, 4, 3, 2, 4, 3, 2, 2, 1, 0, 4, 1, 4, 2, 2, 0, 2, 3, 1, 2, 2, 2, 1, 4, 0, 2, 2, 0, 0, 4, 1, 2, 2, 4, 1, 3, 4, 3, 1, 0, 0, 2, 3, 1, 1, 2, 1, 0, 1, 4, 0, 4, 1, 0, 3, 4, 1, 0, 3, 0, 2, 2, 0, 1, 0, 1, 2, 3, 2, 3, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 4, 0, 2, 2] pubkeycol936 = [4, 0, 4, 4, 3, 4, 3, 0, 3, 0, 0, 2, 3, 4, 1, 2, 1, 2, 1, 4, 2, 0, 1, 4, 0, 3, 1, 3, 4, 4, 2, 4, 2, 3, 0, 4, 1, 3, 1, 0, 0, 4, 1, 4, 0, 1, 0, 3, 3, 3, 4, 2, 3, 4, 4, 0, 4, 2, 2, 4, 1, 2, 3, 1, 3, 4, 2, 0, 3, 3, 2, 1, 2, 0, 3, 2, 3, 4, 2, 1, 0, 0, 4, 0, 3, 3, 0, 4, 0, 0, 2, 4, 0, 4, 1, 4, 1, 2, 3, 4, 3, 4, 3, 0, 0, 0, 0, 1, 4, 3, 0, 0, 3, 4, 4, 3, 0, 4, 1, 2, 2, 3, 2, 3, 2, 2, 4, 1, 4, 2, 0, 3, 3, 3, 0, 2, 1, 4, 4, 4, 4, 0, 3, 0, 2, 3, 4, 0, 4, 4, 2, 4, 3, 1, 2, 1, 0, 0, 4, 3, 0, 3, 1, 1, 2, 0, 0, 0, 0, 4, 1, 0, 2, 4, 3, 1, 3, 3, 0, 2, 3, 0, 1, 1, 4, 2, 1, 0, 4, 3, 1, 4, 3, 0, 1, 2, 4, 4, 4, 1, 4, 4, 3, 1, 0, 0, 2, 3, 1, 0, 2, 2, 4, 0, 0, 3, 4, 4, 0, 2, 1, 2, 0, 2, 4, 3, 1, 2, 1, 0, 0, 2, 2, 4, 3, 0, 1, 3, 2, 1, 4, 1, 1, 1, 0, 4, 0, 3, 0, 4, 0, 2, 3, 0, 3, 4, 0, 3, 1, 3, 3, 4, 2, 2, 2, 3, 4, 3, 3, 1, 1, 3, 1, 1, 2, 2, 3, 1, 1, 2, 0, 3, 3, 0, 4, 2, 4, 2, 3, 3, 2, 2, 4, 0, 0, 3, 1, 4, 1, 1, 2, 0, 3, 4, 3, 3, 1, 2, 0, 2, 4, 4, 1, 1, 1, 4, 1, 2, 3, 3, 3, 0, 4, 3, 4, 4, 4, 4, 3, 4, 2, 0, 0, 1, 2, 4, 0, 1, 4, 2, 1, 2, 1, 4, 1, 4, 4, 3, 2, 4, 2, 3, 2, 3, 0, 3, 2, 2, 0, 0, 4, 1, 3, 4, 0, 3, 4, 2, 1, 0, 1, 0, 4, 2, 1, 0, 0, 0, 4, 4, 2, 3, 4, 0, 3, 1, 4, 1, 1, 1, 0, 3, 0, 1, 1, 1, 1, 1, 0, 3] pubkeycol937 = [1, 1, 0, 3, 4, 1, 0, 3, 0, 2, 2, 2, 1, 3, 2, 2, 3, 2, 4, 3, 4, 3, 1, 2, 1, 1, 3, 1, 3, 0, 3, 0, 4, 3, 4, 2, 0, 3, 2, 4, 4, 4, 0, 4, 4, 0, 2, 0, 1, 1, 0, 4, 0, 4, 0, 1, 0, 2, 3, 0, 1, 4, 4, 2, 0, 4, 4, 1, 4, 0, 3, 4, 1, 1, 1, 3, 3, 1, 2, 2, 4, 1, 1, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 1, 0, 3, 1, 1, 2, 0, 0, 1, 1, 4, 3, 2, 0, 1, 1, 1, 1, 4, 1, 0, 3, 4, 3, 0, 4, 4, 0, 2, 1, 4, 3, 4, 4, 3, 1, 1, 0, 4, 4, 3, 3, 2, 4, 0, 4, 2, 1, 1, 4, 1, 4, 3, 1, 2, 1, 2, 2, 0, 1, 0, 3, 0, 3, 3, 0, 0, 3, 2, 4, 3, 0, 3, 2, 1, 4, 3, 1, 2, 1, 3, 3, 4, 1, 0, 4, 1, 3, 3, 0, 1, 0, 3, 4, 4, 4, 2, 4, 3, 3, 4, 4, 3, 0, 1, 2, 2, 4, 0, 3, 3, 3, 3, 4, 4, 0, 3, 1, 4, 2, 1, 0, 4, 0, 0, 2, 1, 4, 0, 4, 2, 0, 1, 4, 2, 3, 3, 4, 1, 3, 1, 2, 3, 3, 0, 4, 1, 0, 2, 1, 4, 2, 1, 2, 3, 3, 0, 3, 1, 4, 0, 2, 3, 4, 4, 4, 2, 3, 3, 3, 2, 2, 2, 0, 4, 3, 2, 2, 0, 2, 1, 4, 3, 4, 1, 4, 0, 4, 4, 2, 2, 3, 0, 1, 3, 1, 0, 3, 4, 3, 2, 2, 2, 4, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 4, 1, 1, 1, 2, 0, 0, 2, 3, 0, 4, 0, 3, 1, 3, 1, 2, 1, 0, 2, 3, 2, 0, 2, 0, 0, 4, 1, 0, 2, 1, 4, 1, 0, 1, 1, 1, 3, 3, 4, 0, 2, 3, 3, 4, 1, 2, 0, 3, 2, 1, 1, 2, 3, 3, 0, 4, 2, 0, 1, 1, 0, 2, 2, 3, 3, 2, 0, 4, 0, 4, 1, 2, 2, 4, 1, 0, 4, 2, 1, 2, 1, 0, 4, 2, 0, 0, 2, 4] pubkeycol938 = [1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 3, 4, 0, 1, 4, 1, 0, 0, 4, 0, 1, 2, 4, 4, 0, 3, 1, 1, 4, 2, 1, 4, 2, 3, 4, 0, 0, 2, 1, 1, 0, 0, 3, 0, 4, 2, 1, 2, 0, 3, 1, 4, 2, 4, 3, 4, 4, 2, 1, 2, 0, 3, 0, 2, 1, 3, 2, 0, 4, 3, 4, 3, 0, 2, 4, 2, 3, 4, 4, 3, 4, 1, 4, 1, 3, 3, 4, 1, 3, 1, 4, 3, 1, 0, 2, 0, 1, 2, 2, 2, 1, 4, 2, 3, 3, 2, 2, 2, 0, 2, 2, 0, 4, 0, 2, 2, 0, 2, 4, 0, 0, 1, 0, 2, 2, 3, 3, 0, 3, 4, 3, 4, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 3, 2, 2, 2, 3, 3, 0, 2, 0, 0, 0, 1, 1, 0, 3, 3, 0, 2, 0, 3, 1, 1, 1, 4, 0, 3, 3, 1, 2, 1, 4, 3, 2, 0, 0, 0, 1, 3, 0, 4, 4, 2, 3, 4, 1, 1, 3, 4, 0, 0, 4, 2, 4, 2, 3, 1, 4, 2, 4, 4, 1, 1, 1, 1, 4, 3, 1, 2, 3, 3, 0, 1, 1, 0, 4, 4, 2, 0, 1, 4, 1, 3, 4, 4, 3, 3, 2, 4, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 3, 2, 3, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 0, 3, 0, 1, 2, 0, 1, 0, 0, 0, 3, 4, 2, 3, 2, 4, 1, 0, 3, 0, 1, 4, 2, 4, 4, 0, 2, 2, 2, 4, 2, 0, 3, 4, 4, 4, 3, 2, 1, 1, 0, 2, 0, 2, 4, 2, 1, 1, 2, 4, 1, 4, 2, 0, 1, 1, 1, 0, 1, 3, 2, 1, 2, 1, 3, 0, 0, 1, 0, 2, 4, 4, 0, 2, 0, 0, 3, 1, 1, 4, 4, 1, 3, 1, 4, 0, 2, 0, 2, 2, 4, 4, 3, 3, 1, 1, 2, 0, 3, 3, 4, 3, 1, 4, 4, 1, 1, 4, 2, 1, 0, 1, 0, 0, 0, 4, 2, 3, 2, 0, 4, 2, 2, 0, 1, 2, 4, 3, 2, 2, 3, 4, 3, 1, 0, 3, 4, 3] pubkeycol939 = [0, 0, 2, 2, 1, 3, 2, 4, 0, 4, 3, 0, 3, 2, 2, 0, 2, 4, 2, 2, 0, 0, 1, 0, 3, 2, 4, 4, 3, 1, 1, 1, 2, 4, 2, 0, 3, 0, 4, 0, 3, 3, 4, 3, 2, 2, 3, 1, 2, 2, 1, 4, 3, 3, 1, 2, 1, 0, 2, 3, 0, 4, 2, 0, 0, 3, 0, 0, 3, 2, 4, 4, 2, 3, 2, 4, 0, 0, 2, 2, 0, 0, 1, 0, 3, 1, 3, 3, 1, 1, 1, 1, 2, 3, 0, 1, 3, 3, 3, 2, 0, 4, 3, 0, 1, 4, 0, 3, 2, 3, 3, 1, 3, 4, 0, 4, 2, 0, 2, 1, 2, 1, 4, 4, 3, 4, 4, 0, 2, 1, 3, 3, 1, 3, 0, 4, 3, 3, 0, 2, 4, 4, 4, 3, 4, 4, 1, 3, 1, 1, 1, 2, 4, 4, 1, 3, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 4, 4, 3, 4, 4, 3, 0, 4, 1, 3, 1, 2, 4, 1, 4, 2, 1, 3, 4, 1, 2, 3, 4, 1, 1, 3, 1, 4, 1, 1, 0, 4, 2, 4, 3, 4, 4, 1, 4, 3, 0, 0, 4, 3, 4, 3, 1, 2, 4, 0, 1, 3, 0, 2, 0, 4, 4, 2, 4, 3, 1, 1, 2, 0, 4, 4, 3, 0, 3, 1, 3, 0, 0, 1, 0, 3, 3, 3, 1, 2, 0, 2, 4, 1, 4, 2, 4, 4, 2, 1, 1, 4, 4, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 3, 2, 0, 1, 2, 4, 3, 3, 2, 3, 0, 4, 2, 4, 1, 0, 3, 2, 3, 2, 2, 4, 4, 4, 3, 3, 0, 0, 4, 3, 1, 1, 4, 4, 4, 3, 1, 0, 2, 0, 4, 1, 3, 4, 1, 4, 2, 3, 3, 2, 0, 4, 3, 4, 0, 4, 0, 3, 1, 0, 0, 4, 3, 1, 4, 3, 4, 4, 1, 1, 1, 2, 3, 1, 3, 2, 3, 2, 4, 1, 4, 3, 2, 4, 1, 3, 4, 2, 3, 0, 0, 2, 3, 4, 1, 3, 2, 1, 1, 3, 4, 1, 1, 0, 3, 0, 4, 4, 0, 0, 2, 4, 4, 1, 4, 3, 3, 0, 3, 0, 4, 4, 1, 4, 4, 3, 0, 2] pubkeycol940 = [4, 2, 3, 3, 3, 0, 3, 3, 2, 4, 3, 2, 0, 3, 2, 1, 1, 2, 3, 1, 3, 2, 1, 3, 4, 0, 1, 1, 3, 1, 4, 1, 3, 4, 0, 4, 4, 2, 0, 3, 3, 1, 1, 2, 0, 2, 1, 1, 4, 0, 4, 2, 3, 4, 0, 1, 2, 3, 0, 3, 3, 2, 3, 0, 0, 1, 3, 0, 3, 3, 3, 4, 4, 2, 2, 0, 3, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 3, 0, 3, 1, 0, 1, 0, 3, 0, 3, 1, 4, 0, 1, 2, 4, 4, 4, 1, 4, 2, 0, 1, 3, 2, 4, 4, 2, 1, 0, 0, 1, 3, 2, 3, 4, 0, 4, 2, 0, 4, 3, 2, 4, 4, 0, 2, 0, 0, 2, 0, 0, 3, 1, 0, 3, 2, 2, 4, 3, 3, 4, 2, 1, 2, 0, 0, 0, 4, 0, 4, 4, 2, 0, 2, 3, 1, 0, 0, 1, 0, 3, 3, 0, 0, 0, 4, 0, 1, 4, 4, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 0, 1, 0, 4, 2, 4, 4, 1, 2, 4, 4, 4, 4, 3, 2, 4, 3, 0, 1, 1, 2, 3, 4, 2, 3, 0, 1, 1, 3, 3, 3, 2, 2, 2, 3, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 0, 4, 1, 2, 1, 2, 2, 4, 2, 1, 3, 2, 3, 1, 2, 3, 1, 3, 2, 3, 2, 4, 4, 0, 3, 3, 3, 0, 2, 4, 3, 1, 0, 4, 0, 4, 2, 0, 2, 2, 2, 0, 1, 0, 3, 1, 3, 2, 3, 2, 1, 3, 3, 0, 0, 2, 3, 4, 2, 4, 2, 3, 1, 2, 1, 1, 2, 0, 4, 4, 1, 0, 1, 2, 3, 0, 2, 2, 1, 0, 2, 0, 0, 4, 4, 2, 3, 0, 1, 2, 2, 1, 3, 3, 3, 4, 2, 1, 3, 3, 0, 2, 4, 0, 2, 2, 3, 3, 3, 3, 1, 2, 3, 3, 4, 0, 0, 3, 3, 2, 4, 4, 3, 2, 1, 3, 0, 3, 3, 3, 1, 3, 3, 3, 4, 1, 2, 4, 4, 2, 4, 1, 1, 4, 2, 1, 0, 0, 3, 2, 3, 2, 2, 4, 2, 1, 3, 4, 2, 1] pubkeycol941 = [0, 3, 1, 2, 0, 4, 0, 3, 4, 2, 0, 0, 3, 1, 3, 1, 4, 2, 4, 0, 2, 3, 2, 4, 4, 3, 0, 2, 0, 1, 3, 2, 3, 1, 2, 1, 0, 1, 3, 3, 0, 4, 2, 1, 0, 0, 0, 0, 1, 3, 0, 4, 0, 3, 4, 3, 1, 2, 0, 2, 0, 0, 4, 4, 0, 4, 3, 3, 0, 0, 4, 4, 0, 1, 1, 3, 2, 1, 0, 3, 0, 0, 0, 3, 0, 4, 2, 2, 2, 2, 3, 1, 4, 4, 2, 2, 1, 0, 4, 1, 3, 2, 1, 3, 0, 1, 1, 3, 1, 2, 1, 1, 3, 1, 1, 2, 2, 3, 2, 4, 4, 3, 2, 0, 2, 1, 3, 4, 0, 1, 2, 3, 1, 3, 4, 4, 2, 0, 1, 3, 1, 0, 0, 1, 3, 2, 0, 4, 4, 4, 2, 2, 1, 1, 1, 1, 4, 0, 2, 4, 4, 1, 0, 1, 3, 1, 0, 4, 3, 3, 0, 0, 3, 2, 3, 2, 4, 3, 1, 1, 4, 2, 4, 3, 1, 3, 1, 3, 4, 1, 0, 3, 3, 0, 0, 2, 0, 1, 2, 0, 4, 3, 1, 0, 1, 1, 2, 4, 0, 2, 0, 3, 4, 3, 2, 3, 1, 0, 4, 1, 2, 1, 3, 1, 2, 4, 2, 0, 4, 2, 1, 2, 2, 0, 0, 1, 3, 1, 2, 4, 1, 4, 4, 4, 4, 4, 4, 4, 2, 3, 2, 3, 4, 3, 2, 3, 0, 4, 3, 2, 4, 2, 2, 3, 0, 0, 2, 4, 2, 3, 0, 3, 4, 3, 0, 0, 3, 1, 2, 0, 2, 1, 0, 3, 2, 0, 2, 4, 2, 0, 0, 1, 4, 4, 3, 1, 2, 2, 1, 1, 0, 0, 1, 2, 3, 0, 0, 1, 1, 2, 2, 3, 0, 3, 2, 4, 0, 2, 2, 1, 0, 4, 1, 1, 1, 2, 1, 2, 4, 4, 2, 2, 4, 1, 1, 2, 3, 0, 0, 1, 1, 3, 2, 1, 4, 4, 4, 0, 0, 1, 2, 0, 2, 0, 4, 4, 2, 3, 2, 3, 1, 4, 1, 3, 1, 0, 1, 0, 2, 3, 4, 0, 0, 3, 1, 3, 4, 2, 1, 3, 3, 1, 1, 3, 3, 0, 0, 2, 1, 1, 2, 3, 1, 0, 1, 0, 3, 3, 2, 1] pubkeycol942 = [0, 4, 2, 3, 0, 0, 4, 4, 2, 1, 3, 1, 0, 1, 2, 0, 1, 3, 4, 1, 3, 2, 4, 0, 2, 3, 2, 0, 2, 2, 1, 2, 1, 4, 2, 0, 4, 4, 3, 0, 2, 2, 2, 0, 2, 4, 0, 3, 3, 3, 3, 3, 3, 4, 0, 3, 2, 1, 3, 2, 4, 3, 4, 2, 2, 3, 4, 3, 4, 1, 0, 1, 4, 1, 2, 2, 4, 0, 2, 4, 1, 3, 3, 1, 0, 4, 0, 4, 0, 0, 2, 2, 1, 4, 2, 2, 3, 1, 1, 1, 2, 0, 0, 4, 2, 3, 2, 2, 3, 0, 0, 0, 2, 3, 4, 0, 1, 4, 2, 4, 1, 3, 3, 3, 0, 2, 0, 0, 0, 2, 3, 2, 1, 4, 4, 1, 0, 4, 1, 1, 3, 4, 3, 1, 3, 0, 2, 4, 1, 4, 1, 2, 2, 1, 4, 4, 3, 2, 1, 2, 4, 4, 3, 1, 3, 4, 1, 1, 4, 1, 3, 3, 3, 0, 0, 3, 3, 2, 4, 2, 2, 1, 2, 2, 0, 2, 0, 4, 4, 2, 1, 1, 4, 1, 3, 0, 4, 1, 0, 0, 4, 1, 0, 0, 3, 4, 2, 2, 3, 3, 2, 4, 4, 4, 1, 1, 0, 4, 0, 1, 2, 0, 4, 0, 3, 4, 4, 3, 3, 3, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 4, 1, 2, 2, 0, 3, 2, 2, 3, 2, 0, 0, 2, 4, 3, 4, 3, 3, 0, 3, 3, 3, 1, 3, 0, 2, 4, 4, 4, 4, 2, 0, 4, 4, 3, 2, 3, 2, 0, 1, 4, 0, 2, 0, 2, 4, 2, 0, 4, 3, 0, 2, 1, 2, 0, 1, 3, 2, 4, 2, 0, 4, 0, 0, 2, 1, 1, 1, 2, 3, 2, 0, 3, 4, 1, 2, 2, 0, 4, 4, 1, 2, 3, 4, 0, 4, 2, 0, 3, 3, 2, 4, 4, 1, 2, 3, 0, 0, 3, 0, 0, 2, 3, 2, 2, 4, 1, 2, 1, 4, 3, 0, 0, 0, 4, 1, 1, 2, 2, 1, 4, 3, 2, 1, 0, 0, 0, 3, 3, 0, 4, 4, 4, 2, 2, 0, 1, 0, 0, 0, 3, 1, 4, 4, 3, 1, 2, 3, 0, 0, 0, 3] pubkeycol943 = [1, 3, 4, 2, 0, 1, 2, 3, 2, 2, 1, 3, 4, 3, 0, 2, 2, 4, 1, 0, 2, 4, 4, 1, 4, 4, 4, 1, 3, 0, 1, 3, 3, 1, 3, 0, 2, 3, 3, 3, 1, 3, 2, 1, 1, 4, 0, 2, 3, 3, 4, 3, 2, 1, 2, 0, 0, 1, 1, 3, 0, 1, 2, 4, 0, 0, 4, 0, 4, 3, 0, 3, 3, 2, 3, 3, 3, 4, 2, 4, 3, 2, 2, 1, 3, 1, 4, 0, 3, 0, 3, 0, 2, 2, 3, 0, 4, 3, 3, 3, 4, 4, 4, 3, 2, 1, 3, 1, 3, 1, 4, 0, 1, 2, 4, 1, 3, 2, 3, 0, 2, 1, 0, 4, 4, 1, 4, 3, 0, 1, 4, 1, 2, 2, 1, 4, 4, 0, 0, 1, 1, 4, 1, 4, 3, 1, 2, 0, 2, 4, 3, 1, 3, 4, 3, 2, 3, 1, 0, 2, 4, 2, 1, 4, 2, 1, 3, 3, 4, 0, 2, 0, 3, 2, 3, 3, 0, 1, 4, 3, 4, 2, 4, 3, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 3, 4, 1, 0, 3, 1, 0, 0, 1, 0, 4, 3, 4, 3, 4, 1, 1, 2, 4, 2, 0, 4, 2, 4, 4, 4, 1, 3, 1, 1, 2, 3, 2, 3, 3, 0, 2, 0, 3, 1, 4, 0, 2, 3, 3, 2, 2, 1, 0, 0, 4, 2, 2, 1, 2, 2, 0, 4, 0, 1, 3, 2, 4, 2, 1, 3, 2, 0, 0, 3, 0, 4, 0, 1, 2, 2, 0, 2, 2, 3, 3, 1, 3, 0, 1, 3, 4, 1, 3, 4, 4, 0, 3, 3, 1, 1, 4, 3, 1, 3, 4, 1, 2, 4, 2, 3, 4, 3, 4, 3, 1, 3, 4, 4, 3, 2, 2, 3, 1, 0, 4, 1, 3, 0, 0, 2, 0, 0, 2, 4, 0, 4, 2, 4, 4, 3, 1, 4, 3, 3, 1, 2, 1, 1, 0, 4, 4, 1, 1, 0, 4, 2, 3, 4, 3, 1, 0, 0, 1, 2, 1, 3, 2, 1, 1, 3, 4, 3, 4, 1, 3, 2, 1, 4, 3, 3, 4, 1, 4, 0, 4, 3, 4, 4, 2, 1, 3, 0, 4, 4, 1, 2, 0, 1, 3, 4, 3, 3, 4, 4, 1, 1, 3, 1, 2] pubkeycol944 = [2, 0, 0, 0, 0, 3, 3, 1, 4, 1, 1, 2, 0, 3, 4, 4, 3, 4, 1, 1, 1, 2, 3, 2, 4, 0, 4, 2, 3, 1, 3, 1, 4, 2, 2, 2, 4, 3, 4, 2, 3, 0, 4, 0, 3, 4, 2, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 2, 1, 1, 2, 1, 2, 4, 3, 2, 1, 4, 4, 0, 3, 1, 1, 4, 0, 4, 1, 4, 3, 0, 1, 4, 0, 1, 3, 0, 2, 0, 4, 0, 4, 1, 4, 0, 3, 0, 1, 0, 1, 2, 0, 3, 1, 2, 3, 2, 4, 0, 0, 2, 1, 2, 4, 3, 2, 4, 3, 4, 0, 3, 3, 4, 2, 0, 1, 0, 3, 2, 4, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 4, 2, 3, 1, 3, 1, 1, 2, 1, 3, 2, 1, 4, 1, 2, 0, 2, 2, 2, 4, 0, 3, 3, 2, 4, 4, 1, 2, 4, 2, 1, 2, 3, 3, 1, 4, 4, 3, 1, 2, 2, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 1, 0, 3, 0, 0, 3, 3, 3, 3, 4, 2, 0, 0, 2, 3, 2, 1, 2, 2, 4, 4, 0, 2, 4, 0, 0, 3, 4, 4, 1, 2, 3, 2, 0, 2, 1, 4, 0, 4, 2, 4, 2, 3, 3, 1, 2, 4, 3, 1, 2, 1, 4, 3, 1, 2, 0, 4, 2, 0, 2, 2, 3, 1, 2, 4, 4, 1, 3, 1, 2, 1, 0, 2, 2, 0, 2, 3, 0, 4, 1, 0, 3, 1, 2, 4, 3, 0, 1, 2, 0, 4, 2, 3, 2, 4, 1, 0, 1, 0, 1, 2, 3, 0, 4, 3, 4, 2, 0, 3, 2, 3, 0, 2, 2, 0, 1, 2, 1, 4, 3, 3, 2, 4, 0, 1, 3, 4, 1, 1, 1, 2, 3, 0, 1, 1, 1, 0, 3, 3, 2, 4, 0, 2, 2, 2, 1, 3, 2, 1, 0, 4, 0, 0, 3, 1, 4, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 3, 1, 2, 3, 4, 1, 2, 4, 4, 1, 2, 4, 3, 1, 4, 4, 0, 4, 0, 3, 2, 1, 3, 3, 0, 4, 1, 1, 4, 3, 2, 1, 0, 0, 2, 3, 2, 0, 1, 0, 2, 3, 2, 0] pubkeycol945 = [3, 3, 4, 2, 0, 1, 4, 3, 4, 2, 2, 3, 1, 4, 1, 4, 1, 3, 0, 4, 3, 4, 4, 3, 0, 3, 3, 2, 1, 3, 0, 4, 1, 1, 1, 4, 3, 1, 1, 2, 1, 1, 3, 4, 1, 0, 3, 2, 2, 1, 3, 0, 3, 3, 1, 1, 1, 4, 0, 4, 2, 4, 1, 2, 1, 0, 1, 0, 2, 4, 4, 3, 2, 4, 1, 3, 2, 0, 4, 3, 0, 1, 3, 1, 2, 0, 4, 3, 3, 2, 3, 1, 1, 0, 3, 1, 4, 4, 3, 3, 0, 0, 2, 2, 1, 1, 4, 0, 1, 0, 0, 0, 2, 1, 2, 2, 3, 1, 3, 1, 2, 3, 4, 0, 4, 4, 1, 0, 1, 4, 0, 4, 4, 3, 0, 2, 3, 1, 1, 1, 1, 2, 4, 1, 4, 3, 0, 3, 4, 1, 2, 0, 3, 3, 4, 3, 4, 3, 2, 2, 4, 3, 4, 2, 2, 4, 1, 0, 0, 1, 4, 3, 0, 1, 1, 0, 2, 3, 2, 4, 1, 3, 3, 4, 2, 3, 4, 0, 3, 0, 1, 2, 1, 3, 3, 3, 0, 3, 1, 0, 0, 2, 2, 3, 0, 4, 3, 2, 3, 3, 1, 0, 1, 4, 4, 0, 3, 0, 3, 4, 0, 3, 1, 2, 0, 3, 0, 1, 4, 2, 3, 1, 4, 4, 4, 3, 4, 0, 1, 2, 4, 1, 4, 4, 2, 1, 2, 0, 3, 1, 2, 2, 2, 0, 0, 2, 3, 3, 2, 1, 2, 4, 1, 4, 1, 4, 1, 2, 0, 3, 4, 1, 2, 0, 1, 2, 4, 3, 2, 0, 4, 3, 0, 4, 0, 0, 1, 3, 1, 4, 3, 3, 2, 2, 0, 3, 4, 2, 1, 4, 1, 1, 2, 0, 4, 4, 2, 3, 0, 0, 0, 4, 4, 1, 0, 3, 2, 0, 1, 3, 0, 3, 1, 4, 1, 0, 0, 2, 2, 0, 3, 1, 3, 1, 1, 3, 3, 1, 3, 0, 2, 2, 4, 3, 1, 1, 3, 3, 2, 4, 0, 2, 1, 4, 1, 1, 2, 0, 4, 3, 3, 1, 4, 0, 0, 1, 0, 2, 1, 1, 4, 4, 0, 2, 0, 0, 1, 3, 0, 4, 1, 2, 3, 3, 0, 0, 3, 1, 0, 1, 2, 4, 4, 3, 0, 1, 4, 2, 0, 1] pubkeycol946 = [3, 0, 0, 3, 3, 1, 4, 3, 4, 2, 3, 4, 0, 0, 1, 3, 1, 2, 1, 4, 4, 0, 0, 4, 3, 2, 0, 4, 4, 4, 4, 3, 2, 3, 0, 1, 1, 1, 1, 4, 3, 3, 3, 3, 2, 4, 4, 2, 4, 4, 1, 3, 0, 1, 0, 1, 0, 4, 1, 3, 1, 1, 1, 3, 1, 1, 0, 1, 4, 1, 3, 1, 3, 2, 3, 2, 2, 3, 1, 0, 1, 1, 0, 1, 1, 3, 1, 3, 3, 0, 1, 4, 1, 0, 2, 4, 4, 4, 0, 1, 1, 2, 1, 2, 4, 2, 3, 4, 4, 2, 1, 1, 4, 4, 2, 0, 0, 4, 3, 0, 3, 2, 4, 0, 3, 3, 0, 4, 1, 3, 0, 3, 3, 3, 1, 4, 1, 2, 2, 0, 1, 1, 0, 4, 2, 0, 2, 4, 3, 1, 4, 3, 1, 2, 3, 3, 4, 3, 1, 1, 2, 2, 2, 3, 1, 3, 2, 0, 1, 4, 3, 2, 1, 3, 1, 3, 2, 0, 3, 2, 4, 1, 0, 0, 4, 3, 4, 1, 2, 2, 2, 2, 3, 4, 3, 0, 2, 1, 4, 1, 2, 2, 2, 3, 2, 1, 3, 3, 2, 0, 1, 4, 4, 4, 1, 0, 1, 3, 3, 2, 0, 1, 4, 3, 1, 3, 3, 0, 0, 0, 2, 1, 3, 4, 1, 1, 1, 1, 2, 1, 2, 2, 4, 4, 2, 3, 2, 2, 2, 4, 4, 0, 2, 4, 4, 2, 3, 2, 3, 2, 3, 2, 4, 1, 0, 2, 1, 0, 4, 1, 4, 0, 1, 2, 2, 0, 1, 4, 1, 0, 2, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 1, 4, 1, 0, 3, 3, 0, 2, 3, 1, 4, 2, 2, 1, 1, 4, 1, 2, 2, 2, 3, 4, 3, 3, 0, 3, 2, 0, 1, 3, 1, 3, 2, 2, 1, 2, 2, 3, 0, 2, 1, 4, 4, 4, 3, 4, 0, 3, 0, 4, 1, 2, 2, 3, 3, 0, 1, 4, 4, 2, 4, 1, 4, 4, 4, 3, 0, 0, 4, 4, 1, 0, 3, 2, 1, 1, 4, 0, 4, 0, 1, 2, 2, 0, 4, 3, 4, 3, 3, 4, 4, 3, 2, 2, 4, 3, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol947 = [3, 1, 1, 1, 0, 1, 4, 4, 1, 3, 2, 3, 0, 4, 4, 4, 3, 3, 1, 0, 4, 3, 4, 4, 0, 1, 2, 1, 2, 3, 0, 1, 3, 2, 4, 1, 3, 3, 0, 1, 4, 1, 2, 0, 2, 4, 1, 3, 2, 3, 2, 2, 0, 4, 4, 4, 1, 4, 0, 4, 4, 1, 2, 0, 2, 2, 2, 1, 2, 3, 3, 0, 2, 2, 3, 1, 2, 2, 3, 3, 0, 4, 0, 1, 1, 0, 4, 3, 0, 4, 4, 1, 3, 4, 0, 4, 2, 1, 2, 3, 3, 3, 3, 2, 1, 4, 2, 1, 2, 4, 1, 3, 0, 0, 0, 4, 2, 3, 1, 0, 3, 4, 2, 3, 4, 0, 3, 0, 4, 1, 3, 2, 3, 3, 0, 1, 3, 3, 4, 2, 0, 1, 0, 1, 0, 4, 0, 0, 4, 1, 1, 3, 1, 3, 0, 0, 1, 0, 3, 0, 1, 2, 3, 3, 0, 0, 3, 1, 2, 4, 3, 0, 2, 4, 3, 2, 0, 0, 1, 0, 2, 3, 0, 2, 4, 1, 3, 4, 1, 0, 0, 0, 4, 4, 0, 2, 0, 4, 2, 0, 0, 4, 4, 0, 3, 3, 4, 2, 1, 4, 1, 2, 4, 1, 1, 2, 4, 2, 0, 2, 0, 1, 2, 3, 1, 1, 1, 4, 3, 4, 2, 3, 1, 4, 1, 4, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 3, 0, 1, 1, 4, 4, 3, 3, 3, 4, 1, 1, 0, 1, 3, 4, 2, 3, 0, 2, 3, 2, 2, 1, 4, 4, 3, 1, 2, 4, 3, 1, 3, 3, 2, 4, 2, 0, 4, 1, 3, 4, 4, 2, 4, 2, 2, 4, 0, 0, 2, 3, 2, 2, 0, 2, 2, 0, 1, 0, 1, 4, 0, 1, 4, 0, 0, 3, 3, 2, 2, 1, 2, 0, 3, 1, 1, 1, 3, 0, 1, 4, 1, 2, 4, 2, 1, 2, 3, 4, 3, 4, 2, 0, 3, 0, 4, 2, 3, 0, 4, 3, 1, 4, 0, 0, 4, 3, 2, 3, 4, 3, 2, 3, 3, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 2, 2, 0, 4, 4, 0, 4, 2, 1, 1, 1, 1, 1, 0, 4, 2, 2, 3, 1, 1, 1, 4, 4, 1, 2, 0] pubkeycol948 = [4, 0, 2, 2, 4, 3, 0, 0, 0, 0, 2, 1, 1, 3, 0, 3, 0, 1, 2, 3, 2, 0, 1, 0, 2, 2, 0, 3, 3, 0, 3, 1, 2, 1, 3, 4, 0, 1, 3, 1, 2, 2, 0, 1, 2, 4, 1, 2, 2, 1, 3, 3, 0, 3, 2, 3, 2, 1, 2, 0, 4, 2, 4, 4, 4, 4, 0, 1, 3, 0, 0, 4, 4, 4, 0, 3, 0, 4, 4, 1, 4, 1, 2, 0, 3, 1, 0, 2, 2, 0, 2, 2, 1, 3, 0, 4, 0, 3, 2, 4, 0, 0, 2, 0, 0, 1, 0, 3, 4, 0, 0, 2, 3, 3, 0, 1, 0, 3, 2, 4, 0, 2, 2, 3, 3, 4, 2, 3, 1, 0, 4, 0, 1, 4, 4, 3, 1, 4, 0, 0, 2, 4, 3, 3, 3, 0, 0, 3, 1, 2, 4, 2, 2, 0, 4, 2, 0, 2, 3, 3, 4, 0, 3, 4, 4, 1, 1, 4, 4, 3, 3, 4, 4, 3, 1, 4, 4, 4, 4, 3, 4, 0, 4, 0, 2, 1, 1, 1, 3, 3, 4, 2, 3, 0, 3, 1, 2, 3, 2, 2, 2, 1, 0, 4, 1, 1, 4, 1, 2, 4, 1, 2, 3, 3, 3, 0, 3, 1, 2, 0, 0, 0, 4, 4, 2, 2, 0, 0, 1, 4, 0, 1, 0, 2, 2, 4, 0, 2, 2, 4, 2, 2, 1, 0, 2, 2, 2, 1, 1, 4, 2, 4, 0, 0, 3, 3, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 3, 0, 0, 2, 0, 1, 3, 0, 2, 4, 1, 0, 0, 1, 2, 1, 3, 0, 2, 2, 1, 1, 0, 3, 3, 4, 4, 1, 2, 4, 4, 3, 0, 3, 0, 4, 3, 2, 4, 0, 3, 3, 3, 3, 3, 1, 0, 2, 2, 3, 4, 0, 4, 1, 3, 1, 0, 1, 3, 1, 0, 2, 0, 1, 2, 4, 4, 3, 2, 2, 3, 1, 1, 4, 0, 0, 0, 1, 1, 3, 3, 1, 3, 2, 2, 1, 1, 1, 4, 4, 2, 1, 3, 1, 0, 2, 1, 4, 2, 4, 1, 3, 2, 1, 4, 4, 3, 0, 1, 0, 3, 0, 4, 2, 0, 0, 3, 2, 0, 1, 4, 0, 3, 0, 3, 0, 4, 2, 2, 0, 3] pubkeycol949 = [1, 3, 3, 0, 4, 0, 2, 0, 4, 0, 1, 0, 0, 3, 4, 1, 1, 3, 2, 0, 1, 2, 0, 3, 0, 2, 4, 3, 2, 4, 0, 3, 1, 1, 0, 3, 2, 4, 3, 2, 1, 3, 2, 4, 4, 4, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 4, 2, 2, 4, 3, 1, 1, 0, 2, 1, 4, 1, 3, 4, 1, 2, 4, 1, 2, 4, 4, 0, 3, 1, 2, 0, 2, 0, 3, 0, 1, 0, 4, 3, 1, 3, 1, 1, 4, 3, 0, 2, 1, 2, 4, 4, 0, 4, 3, 2, 4, 4, 0, 1, 1, 1, 1, 4, 1, 0, 4, 2, 4, 2, 4, 4, 3, 0, 4, 1, 0, 1, 1, 1, 0, 4, 2, 4, 2, 4, 3, 2, 1, 0, 2, 4, 2, 3, 2, 0, 4, 2, 1, 3, 4, 2, 0, 2, 3, 4, 4, 2, 4, 3, 4, 1, 0, 3, 0, 0, 3, 0, 3, 1, 3, 3, 1, 2, 0, 3, 1, 3, 2, 4, 3, 3, 0, 3, 1, 4, 0, 1, 3, 0, 1, 3, 0, 2, 3, 4, 4, 3, 1, 1, 1, 0, 3, 0, 2, 3, 0, 2, 1, 2, 4, 2, 0, 0, 1, 2, 3, 4, 0, 3, 1, 3, 3, 4, 4, 3, 0, 3, 0, 3, 0, 1, 0, 1, 4, 4, 1, 4, 2, 1, 0, 1, 2, 2, 1, 0, 3, 4, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 4, 0, 0, 3, 0, 2, 3, 1, 3, 0, 4, 3, 1, 3, 3, 2, 0, 4, 0, 0, 1, 2, 4, 3, 0, 4, 0, 1, 4, 0, 3, 2, 4, 1, 3, 1, 2, 0, 4, 1, 0, 4, 2, 4, 4, 4, 1, 0, 3, 1, 0, 4, 1, 2, 2, 2, 4, 3, 3, 2, 1, 4, 3, 0, 1, 3, 0, 0, 2, 3, 0, 1, 0, 4, 1, 2, 1, 3, 2, 4, 1, 4, 1, 3, 3, 2, 2, 0, 4, 1, 4, 0, 0, 3, 3, 3, 4, 1, 1, 4, 0, 0, 3, 4, 0, 4, 4, 2, 2, 0, 3, 0, 0, 3, 0, 3, 4, 4, 2, 1, 2, 4, 1, 1, 1, 1, 2, 3, 2, 0, 4, 4, 3, 4, 2, 2, 4] pubkeycol950 = [3, 3, 0, 4, 4, 1, 1, 0, 4, 4, 0, 4, 4, 2, 0, 2, 3, 1, 4, 1, 1, 4, 4, 1, 0, 3, 3, 3, 4, 2, 2, 0, 4, 2, 2, 3, 1, 4, 2, 1, 3, 2, 4, 4, 4, 2, 0, 3, 0, 3, 4, 4, 0, 1, 3, 4, 3, 0, 0, 4, 2, 4, 0, 0, 2, 3, 2, 0, 2, 0, 4, 3, 2, 4, 1, 1, 0, 0, 0, 3, 4, 1, 2, 1, 3, 3, 2, 0, 4, 2, 1, 2, 4, 1, 3, 2, 2, 0, 3, 4, 0, 2, 3, 4, 0, 3, 3, 2, 4, 3, 2, 3, 1, 2, 1, 4, 3, 3, 3, 2, 0, 3, 0, 1, 3, 3, 4, 1, 2, 2, 1, 0, 2, 0, 4, 2, 4, 0, 1, 4, 3, 1, 1, 3, 4, 1, 4, 0, 4, 1, 2, 4, 2, 0, 3, 3, 1, 0, 0, 4, 4, 0, 1, 0, 0, 0, 4, 0, 2, 4, 3, 4, 2, 3, 2, 3, 4, 3, 1, 2, 1, 2, 2, 3, 0, 3, 1, 1, 4, 1, 3, 3, 4, 3, 0, 1, 0, 2, 1, 1, 4, 2, 4, 4, 0, 1, 0, 1, 4, 0, 4, 1, 3, 3, 0, 2, 0, 3, 3, 2, 4, 4, 1, 1, 4, 0, 2, 1, 0, 2, 1, 3, 2, 3, 2, 4, 1, 3, 3, 3, 2, 2, 4, 3, 2, 4, 2, 3, 3, 0, 2, 2, 3, 0, 3, 2, 0, 4, 4, 1, 2, 3, 2, 1, 0, 0, 3, 3, 4, 3, 1, 1, 4, 4, 3, 1, 2, 3, 0, 0, 2, 1, 1, 0, 1, 4, 1, 0, 2, 4, 2, 0, 4, 3, 1, 0, 0, 1, 1, 4, 4, 3, 0, 1, 1, 4, 0, 0, 0, 0, 1, 0, 3, 1, 0, 1, 0, 4, 1, 1, 4, 4, 3, 0, 2, 0, 4, 1, 4, 0, 2, 3, 1, 2, 1, 0, 0, 1, 0, 2, 3, 3, 1, 1, 4, 0, 1, 2, 4, 2, 1, 4, 0, 2, 4, 4, 1, 1, 4, 0, 3, 3, 0, 2, 2, 3, 2, 3, 4, 4, 1, 1, 3, 2, 1, 2, 4, 1, 0, 1, 4, 2, 2, 1, 0, 4, 0, 0, 2, 4, 4, 3, 3, 2, 4, 4, 3, 2, 2, 1] pubkeycol951 = [3, 3, 2, 1, 3, 0, 0, 0, 4, 1, 4, 0, 4, 2, 3, 3, 0, 4, 1, 0, 3, 2, 1, 1, 1, 0, 0, 0, 1, 0, 4, 4, 1, 4, 2, 0, 0, 0, 2, 2, 4, 4, 2, 2, 1, 4, 4, 2, 4, 3, 1, 2, 1, 1, 3, 3, 0, 2, 3, 0, 1, 1, 1, 3, 0, 0, 3, 4, 1, 3, 4, 4, 2, 1, 4, 2, 3, 3, 0, 1, 3, 0, 1, 1, 3, 1, 4, 0, 2, 0, 0, 3, 1, 2, 2, 0, 2, 1, 4, 4, 2, 1, 4, 4, 1, 3, 3, 1, 3, 0, 2, 0, 1, 3, 0, 2, 4, 3, 4, 2, 2, 2, 4, 1, 0, 4, 3, 3, 1, 3, 0, 0, 1, 1, 2, 4, 3, 4, 0, 3, 0, 0, 1, 2, 3, 2, 2, 4, 3, 2, 3, 1, 1, 0, 0, 2, 3, 0, 3, 2, 4, 2, 3, 2, 2, 0, 1, 4, 3, 0, 0, 4, 3, 4, 3, 4, 4, 2, 1, 2, 4, 0, 0, 0, 1, 1, 3, 1, 0, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 2, 4, 2, 4, 4, 2, 1, 0, 0, 0, 4, 4, 0, 0, 4, 3, 1, 4, 2, 1, 4, 2, 4, 1, 3, 0, 0, 4, 4, 0, 2, 3, 2, 3, 4, 2, 1, 3, 4, 3, 3, 4, 2, 2, 2, 0, 0, 1, 3, 0, 2, 3, 4, 3, 2, 3, 3, 1, 0, 2, 2, 2, 1, 1, 0, 4, 1, 1, 2, 1, 3, 3, 2, 0, 3, 1, 0, 3, 2, 1, 4, 0, 0, 4, 2, 2, 4, 1, 0, 3, 0, 1, 3, 1, 0, 0, 2, 3, 4, 1, 0, 2, 4, 1, 4, 3, 3, 4, 4, 3, 3, 0, 1, 3, 2, 1, 2, 0, 3, 3, 2, 3, 1, 1, 3, 3, 4, 0, 2, 3, 0, 4, 2, 4, 0, 4, 0, 0, 1, 1, 4, 1, 1, 2, 4, 0, 2, 3, 1, 1, 4, 0, 0, 4, 2, 3, 1, 2, 1, 2, 1, 1, 3, 2, 3, 4, 3, 3, 3, 1, 4, 4, 4, 3, 4, 4, 2, 3, 2, 0, 1, 0, 1, 0, 4, 4, 1, 4, 2, 2, 2, 2, 1, 3, 4, 2, 0, 3] pubkeycol952 = [1, 2, 2, 3, 1, 4, 1, 1, 4, 1, 4, 0, 0, 2, 0, 1, 4, 3, 3, 2, 3, 3, 2, 0, 4, 3, 1, 2, 4, 0, 3, 0, 2, 1, 3, 4, 4, 0, 4, 3, 3, 4, 1, 3, 3, 4, 2, 2, 3, 0, 0, 0, 0, 1, 4, 2, 3, 0, 2, 0, 3, 1, 0, 1, 1, 4, 0, 4, 0, 4, 1, 4, 2, 3, 1, 0, 0, 3, 3, 1, 0, 1, 0, 1, 4, 2, 3, 0, 3, 3, 3, 3, 3, 0, 3, 1, 3, 2, 3, 2, 0, 3, 0, 3, 0, 1, 4, 0, 2, 3, 3, 0, 2, 2, 3, 4, 2, 4, 2, 2, 4, 2, 2, 1, 2, 2, 0, 0, 4, 1, 2, 1, 2, 1, 3, 1, 2, 2, 4, 0, 0, 0, 0, 3, 4, 1, 3, 1, 2, 2, 3, 0, 4, 4, 3, 1, 0, 3, 0, 4, 4, 4, 1, 4, 2, 2, 0, 3, 0, 1, 2, 0, 3, 4, 0, 2, 1, 4, 1, 1, 2, 2, 2, 1, 0, 0, 4, 0, 2, 2, 0, 3, 4, 3, 3, 1, 1, 0, 3, 2, 4, 4, 1, 2, 1, 3, 3, 1, 0, 4, 0, 0, 2, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 4, 2, 4, 0, 1, 1, 4, 3, 3, 1, 2, 1, 4, 2, 2, 1, 2, 0, 3, 0, 3, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 1, 3, 1, 0, 2, 1, 1, 0, 3, 3, 1, 2, 0, 2, 1, 1, 0, 1, 4, 2, 1, 3, 2, 2, 2, 2, 1, 4, 0, 2, 3, 2, 4, 1, 3, 1, 1, 1, 0, 1, 2, 1, 4, 1, 4, 2, 1, 3, 0, 1, 0, 4, 1, 0, 4, 1, 3, 4, 3, 3, 3, 3, 4, 1, 4, 4, 1, 3, 3, 0, 4, 4, 1, 2, 1, 0, 3, 0, 4, 2, 4, 4, 2, 0, 2, 2, 2, 4, 2, 2, 0, 3, 3, 3, 4, 2, 3, 1, 0, 2, 1, 3, 3, 1, 4, 1, 2, 2, 3, 2, 3, 1, 0, 3, 2, 4, 3, 3, 2, 3, 3, 0, 4, 4, 3, 2, 2, 2, 1, 1, 2, 4, 2, 3, 2, 3, 3, 0, 3, 2, 4, 3, 1, 4, 2, 1] pubkeycol953 = [0, 2, 3, 4, 4, 0, 3, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 4, 3, 3, 1, 2, 3, 3, 3, 1, 1, 0, 3, 0, 3, 1, 2, 1, 3, 1, 4, 3, 1, 4, 4, 1, 3, 3, 0, 0, 0, 3, 3, 0, 4, 2, 1, 4, 1, 2, 3, 2, 0, 2, 3, 1, 0, 4, 4, 1, 0, 0, 1, 0, 0, 2, 3, 3, 1, 0, 4, 0, 0, 1, 4, 4, 1, 2, 4, 4, 2, 4, 0, 2, 4, 1, 4, 3, 3, 3, 3, 1, 0, 3, 4, 0, 3, 4, 3, 3, 3, 2, 2, 2, 1, 1, 2, 4, 4, 4, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 3, 1, 1, 2, 2, 0, 0, 4, 4, 2, 0, 4, 1, 1, 3, 4, 2, 3, 4, 2, 0, 0, 1, 3, 2, 3, 0, 0, 4, 1, 0, 3, 3, 1, 2, 2, 0, 0, 2, 0, 1, 3, 4, 3, 3, 4, 0, 4, 4, 2, 4, 3, 3, 4, 0, 4, 1, 4, 2, 4, 3, 2, 4, 3, 3, 1, 1, 4, 0, 3, 4, 4, 4, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 3, 2, 3, 2, 4, 1, 3, 0, 3, 1, 2, 0, 3, 2, 4, 4, 2, 4, 1, 2, 0, 1, 0, 4, 2, 3, 3, 3, 2, 3, 1, 2, 0, 3, 0, 4, 0, 0, 1, 4, 0, 1, 0, 3, 0, 0, 4, 0, 4, 2, 0, 3, 4, 1, 4, 2, 3, 2, 3, 2, 0, 4, 1, 3, 1, 3, 0, 2, 0, 3, 4, 1, 1, 1, 0, 4, 0, 2, 3, 3, 2, 3, 3, 2, 4, 4, 1, 0, 4, 0, 2, 2, 1, 0, 1, 1, 1, 1, 3, 1, 0, 0, 1, 1, 4, 4, 1, 1, 3, 4, 4, 0, 4, 3, 3, 1, 2, 1, 3, 1, 3, 3, 1, 1, 0, 2, 1, 4, 4, 1, 2, 1, 2, 4, 4, 3, 4, 4, 0, 2, 4, 2, 4, 4, 1, 0, 4, 0, 4, 1, 4, 4, 2, 0, 3, 2, 2, 1, 3, 0, 3, 3, 4, 0, 2, 2, 3, 2, 1, 3, 0, 3, 4, 2, 3, 0, 3, 1, 4, 4, 3, 1, 0, 2, 1, 2, 3, 0] pubkeycol954 = [4, 3, 2, 4, 2, 3, 4, 2, 4, 1, 4, 4, 2, 1, 1, 2, 1, 1, 3, 1, 1, 3, 4, 1, 1, 4, 3, 1, 1, 2, 4, 1, 3, 2, 3, 4, 3, 2, 1, 1, 3, 0, 1, 2, 2, 3, 2, 0, 2, 0, 1, 4, 2, 0, 4, 1, 2, 2, 3, 0, 4, 4, 0, 3, 0, 2, 0, 4, 0, 2, 1, 3, 0, 1, 2, 3, 1, 0, 4, 1, 2, 2, 1, 3, 3, 1, 1, 1, 4, 1, 1, 1, 3, 2, 4, 4, 2, 0, 2, 3, 0, 4, 0, 4, 4, 2, 0, 2, 3, 2, 4, 2, 3, 1, 0, 0, 0, 2, 3, 3, 2, 3, 2, 3, 3, 3, 0, 3, 1, 2, 3, 0, 0, 4, 2, 1, 1, 2, 3, 2, 1, 0, 2, 2, 3, 1, 4, 1, 3, 3, 2, 0, 4, 1, 2, 4, 2, 0, 3, 0, 4, 3, 4, 2, 0, 0, 1, 0, 0, 0, 2, 2, 3, 1, 1, 0, 3, 2, 1, 1, 4, 3, 4, 1, 2, 2, 3, 3, 0, 4, 0, 2, 0, 4, 4, 2, 1, 2, 4, 0, 4, 2, 3, 0, 2, 0, 0, 2, 1, 0, 3, 2, 1, 4, 1, 1, 0, 0, 2, 0, 2, 2, 3, 1, 3, 3, 3, 0, 0, 4, 3, 2, 4, 4, 4, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 3, 0, 4, 3, 4, 4, 4, 4, 1, 4, 3, 2, 3, 2, 2, 3, 2, 2, 0, 1, 0, 3, 2, 2, 0, 2, 3, 1, 1, 4, 4, 1, 1, 3, 4, 0, 1, 2, 3, 3, 1, 4, 4, 4, 0, 3, 0, 3, 1, 1, 2, 2, 0, 2, 1, 0, 4, 4, 0, 2, 0, 4, 4, 1, 1, 2, 2, 4, 4, 4, 3, 4, 0, 0, 2, 4, 4, 0, 1, 1, 0, 1, 3, 2, 3, 3, 3, 4, 2, 4, 2, 1, 3, 3, 3, 0, 2, 3, 2, 4, 3, 3, 1, 3, 4, 2, 4, 3, 1, 2, 0, 3, 3, 1, 3, 1, 0, 3, 4, 1, 0, 4, 2, 1, 2, 4, 1, 4, 2, 3, 1, 4, 1, 2, 4, 3, 4, 3, 3, 2, 1, 0, 1, 1, 4, 4, 0, 3, 0, 0, 4] pubkeycol955 = [4, 0, 1, 4, 2, 3, 2, 2, 3, 1, 2, 4, 0, 4, 4, 0, 3, 0, 4, 1, 2, 4, 1, 1, 1, 4, 3, 2, 1, 4, 1, 2, 3, 0, 2, 2, 3, 3, 3, 3, 3, 4, 0, 3, 1, 1, 2, 4, 3, 0, 1, 0, 1, 4, 0, 0, 4, 4, 0, 0, 4, 4, 3, 3, 1, 1, 2, 1, 3, 2, 4, 4, 2, 2, 0, 4, 1, 4, 0, 4, 0, 0, 0, 0, 2, 4, 1, 1, 1, 2, 0, 1, 1, 4, 1, 3, 1, 0, 4, 1, 4, 3, 0, 1, 2, 4, 3, 4, 0, 0, 2, 1, 1, 0, 4, 2, 2, 1, 3, 1, 0, 1, 1, 3, 4, 1, 3, 3, 1, 4, 3, 0, 4, 1, 1, 4, 1, 4, 2, 2, 4, 4, 2, 3, 1, 3, 1, 2, 0, 2, 3, 3, 4, 2, 4, 1, 0, 4, 0, 3, 0, 2, 4, 2, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 2, 1, 4, 2, 4, 4, 3, 4, 2, 3, 2, 4, 2, 3, 1, 1, 2, 1, 2, 2, 4, 3, 0, 3, 3, 3, 3, 2, 4, 2, 4, 0, 1, 1, 4, 2, 0, 0, 2, 1, 4, 2, 0, 1, 4, 3, 1, 2, 0, 1, 1, 3, 4, 0, 2, 4, 1, 1, 3, 4, 3, 2, 0, 3, 2, 3, 0, 0, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 4, 1, 2, 3, 1, 3, 2, 4, 3, 2, 3, 1, 4, 2, 3, 0, 3, 0, 2, 3, 0, 3, 3, 1, 0, 3, 2, 1, 1, 4, 4, 0, 3, 0, 2, 2, 3, 2, 0, 1, 2, 4, 1, 4, 2, 4, 2, 1, 3, 0, 4, 2, 4, 0, 0, 3, 2, 0, 0, 4, 3, 0, 2, 1, 0, 4, 3, 4, 0, 4, 3, 4, 4, 0, 4, 0, 0, 4, 2, 3, 4, 3, 4, 2, 3, 1, 3, 2, 2, 2, 1, 0, 4, 2, 4, 3, 1, 0, 2, 0, 3, 0, 2, 2, 2, 4, 3, 3, 3, 3, 1, 1, 0, 1, 4, 0, 2, 2, 2, 3, 3, 1, 3, 1, 4, 1, 4, 4, 2, 4, 4, 0, 1, 2, 4, 2, 3, 3, 0, 4, 1, 2, 0, 0, 0, 4, 2, 2] pubkeycol956 = [0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 4, 4, 0, 3, 2, 3, 1, 0, 4, 2, 4, 4, 1, 4, 0, 2, 0, 4, 1, 2, 3, 1, 1, 4, 1, 3, 3, 0, 4, 1, 2, 3, 1, 1, 2, 4, 4, 3, 1, 2, 2, 3, 1, 2, 1, 1, 3, 2, 1, 3, 3, 2, 4, 3, 2, 0, 1, 1, 2, 4, 4, 4, 2, 3, 2, 4, 4, 4, 4, 0, 2, 1, 1, 2, 1, 4, 1, 1, 0, 3, 2, 0, 3, 1, 3, 0, 2, 2, 1, 3, 4, 3, 2, 2, 3, 1, 3, 1, 4, 4, 1, 2, 1, 0, 4, 2, 4, 3, 2, 0, 3, 2, 1, 0, 2, 3, 0, 2, 0, 1, 2, 3, 0, 0, 1, 0, 0, 3, 3, 4, 3, 1, 0, 4, 4, 2, 3, 4, 2, 3, 1, 1, 1, 0, 1, 2, 2, 4, 0, 3, 4, 1, 2, 0, 0, 2, 0, 0, 4, 3, 4, 2, 4, 2, 4, 3, 0, 4, 3, 1, 0, 4, 1, 4, 4, 4, 4, 4, 1, 2, 2, 3, 1, 0, 4, 2, 0, 3, 2, 4, 0, 2, 4, 0, 0, 2, 3, 3, 3, 2, 1, 1, 3, 3, 0, 4, 1, 1, 3, 4, 3, 3, 1, 0, 2, 0, 2, 4, 0, 1, 2, 1, 1, 0, 4, 0, 4, 3, 4, 4, 4, 2, 4, 4, 1, 3, 1, 1, 1, 4, 3, 0, 2, 0, 1, 4, 2, 1, 3, 3, 0, 3, 1, 2, 4, 4, 3, 4, 2, 1, 1, 1, 4, 2, 1, 4, 2, 3, 1, 4, 0, 4, 1, 3, 3, 2, 0, 0, 4, 0, 0, 1, 1, 4, 0, 4, 0, 0, 0, 4, 2, 3, 0, 4, 2, 0, 3, 3, 2, 4, 1, 2, 2, 0, 2, 3, 1, 1, 1, 4, 0, 4, 2, 1, 0, 0, 4, 4, 0, 1, 1, 1, 4, 4, 2, 0, 2, 0, 4, 0, 2, 4, 3, 0, 0, 1, 4, 2, 1, 2, 2, 2, 4, 0, 4, 1, 2, 3, 2, 2, 0, 1, 1, 2, 3, 4, 0, 3, 1, 1, 0, 2, 1, 2, 0, 2, 4, 2, 0, 4, 3, 2, 2, 3, 2, 3, 4, 0, 4, 2, 4, 0, 1, 3, 2, 1, 0, 3, 2, 1] pubkeycol957 = [1, 4, 0, 3, 2, 0, 4, 2, 3, 1, 1, 1, 0, 1, 2, 3, 0, 4, 4, 1, 2, 3, 4, 3, 2, 0, 3, 0, 1, 2, 0, 1, 2, 4, 4, 1, 2, 0, 4, 2, 3, 3, 1, 0, 0, 0, 3, 1, 4, 3, 3, 2, 0, 0, 1, 4, 4, 0, 1, 3, 1, 4, 1, 1, 4, 0, 1, 0, 1, 3, 4, 3, 4, 0, 0, 0, 0, 2, 2, 1, 4, 0, 2, 3, 1, 1, 4, 4, 2, 0, 4, 2, 2, 3, 2, 2, 2, 2, 2, 4, 2, 2, 1, 2, 4, 3, 3, 4, 4, 3, 3, 3, 4, 0, 4, 0, 1, 0, 0, 4, 1, 3, 3, 4, 2, 3, 2, 1, 4, 4, 2, 4, 1, 4, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 3, 0, 3, 0, 2, 4, 1, 2, 2, 3, 2, 4, 3, 3, 0, 3, 2, 2, 2, 2, 1, 1, 2, 4, 1, 4, 4, 3, 3, 1, 0, 1, 4, 0, 1, 0, 3, 1, 1, 1, 2, 4, 1, 1, 3, 4, 0, 3, 1, 2, 3, 2, 0, 2, 3, 3, 2, 1, 4, 1, 1, 0, 2, 0, 0, 0, 4, 3, 4, 2, 3, 3, 1, 1, 2, 1, 4, 3, 3, 1, 0, 3, 4, 2, 0, 4, 1, 4, 1, 2, 0, 4, 4, 2, 4, 2, 3, 3, 0, 2, 3, 0, 1, 1, 2, 3, 2, 4, 0, 2, 0, 4, 1, 3, 2, 2, 1, 4, 4, 4, 4, 4, 0, 4, 0, 0, 3, 0, 1, 2, 0, 0, 1, 1, 1, 4, 2, 2, 3, 1, 0, 2, 1, 4, 2, 0, 1, 0, 0, 3, 3, 2, 0, 4, 3, 4, 4, 2, 3, 4, 0, 1, 4, 1, 0, 3, 3, 3, 4, 2, 4, 0, 1, 4, 2, 0, 0, 1, 3, 1, 4, 1, 1, 4, 3, 0, 0, 0, 1, 3, 3, 0, 0, 3, 1, 4, 0, 4, 1, 1, 1, 4, 1, 4, 1, 0, 3, 0, 2, 1, 1, 1, 2, 4, 4, 3, 4, 2, 4, 4, 3, 1, 1, 1, 2, 1, 4, 0, 0, 1, 1, 2, 3, 0, 0, 0, 4, 1, 0, 1, 4, 3, 3, 3, 1, 0, 1, 3, 0, 1, 4, 3, 3, 2] pubkeycol958 = [1, 4, 2, 3, 4, 4, 0, 1, 3, 4, 2, 0, 1, 3, 3, 1, 3, 1, 3, 0, 0, 1, 4, 4, 2, 0, 3, 1, 4, 3, 3, 0, 3, 1, 1, 0, 2, 0, 1, 2, 4, 4, 2, 2, 4, 0, 3, 4, 4, 3, 1, 3, 2, 4, 0, 4, 3, 4, 3, 1, 3, 0, 3, 3, 2, 4, 2, 4, 3, 2, 2, 0, 2, 2, 1, 3, 4, 0, 2, 1, 3, 2, 3, 4, 2, 0, 4, 3, 1, 1, 4, 1, 1, 2, 3, 1, 2, 2, 3, 0, 0, 1, 3, 4, 1, 1, 1, 0, 1, 0, 2, 4, 4, 0, 3, 3, 4, 2, 0, 4, 1, 2, 4, 1, 3, 4, 4, 4, 0, 2, 4, 1, 0, 2, 3, 1, 1, 0, 2, 2, 4, 0, 4, 2, 0, 1, 1, 1, 0, 2, 1, 3, 1, 1, 3, 2, 2, 4, 3, 3, 1, 0, 2, 2, 0, 0, 4, 3, 1, 2, 3, 2, 3, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 3, 3, 0, 1, 1, 0, 2, 4, 0, 2, 2, 3, 3, 0, 1, 2, 4, 4, 2, 2, 4, 0, 0, 2, 1, 3, 0, 1, 0, 4, 4, 3, 0, 1, 2, 4, 0, 0, 4, 2, 4, 3, 4, 0, 0, 4, 0, 2, 3, 1, 1, 0, 1, 4, 0, 4, 1, 0, 1, 3, 4, 0, 2, 3, 1, 4, 3, 0, 3, 0, 2, 2, 1, 0, 3, 3, 4, 0, 3, 4, 1, 0, 2, 2, 3, 0, 1, 1, 3, 1, 0, 1, 1, 2, 1, 0, 3, 3, 0, 1, 0, 2, 3, 4, 0, 4, 2, 0, 0, 4, 0, 0, 4, 2, 1, 4, 1, 2, 0, 4, 1, 3, 2, 1, 4, 4, 4, 3, 2, 1, 2, 1, 3, 2, 0, 4, 3, 4, 3, 3, 2, 4, 2, 3, 0, 2, 1, 0, 3, 1, 3, 3, 0, 2, 4, 3, 3, 0, 0, 4, 4, 4, 4, 2, 0, 1, 2, 2, 3, 1, 1, 3, 2, 0, 2, 2, 0, 4, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 3, 2, 1, 3, 2, 1, 1, 0, 3, 0, 1, 2, 2, 0, 1, 4, 0, 0, 0, 2, 1, 3, 4, 1, 4] pubkeycol959 = [0, 2, 2, 3, 3, 3, 0, 1, 4, 4, 1, 2, 2, 4, 4, 2, 4, 4, 2, 3, 0, 4, 1, 4, 1, 4, 3, 1, 4, 4, 3, 3, 2, 1, 4, 3, 4, 3, 3, 4, 2, 4, 3, 4, 1, 1, 4, 2, 0, 1, 0, 0, 4, 3, 2, 0, 2, 2, 3, 0, 0, 4, 2, 1, 2, 4, 3, 2, 3, 4, 0, 1, 1, 3, 2, 3, 3, 2, 4, 4, 3, 1, 4, 2, 1, 4, 4, 2, 0, 0, 4, 4, 2, 2, 4, 1, 4, 1, 2, 0, 0, 4, 1, 3, 1, 2, 3, 1, 2, 1, 1, 0, 3, 2, 0, 1, 1, 3, 3, 4, 0, 2, 4, 3, 3, 3, 1, 2, 1, 0, 2, 2, 3, 2, 1, 3, 3, 0, 3, 3, 3, 0, 4, 0, 4, 4, 4, 1, 2, 4, 3, 1, 3, 0, 2, 4, 1, 0, 2, 1, 4, 4, 0, 2, 0, 0, 1, 3, 2, 0, 0, 3, 1, 3, 2, 0, 1, 4, 4, 0, 3, 2, 4, 0, 3, 0, 0, 1, 3, 0, 3, 1, 3, 2, 1, 1, 3, 3, 4, 0, 4, 3, 2, 3, 2, 3, 1, 2, 4, 2, 1, 3, 4, 3, 4, 1, 1, 0, 1, 2, 3, 1, 3, 3, 1, 1, 3, 2, 2, 0, 1, 4, 3, 0, 4, 1, 0, 4, 1, 2, 4, 1, 4, 1, 1, 3, 0, 3, 1, 2, 3, 1, 1, 1, 2, 4, 2, 0, 4, 4, 2, 4, 2, 0, 0, 4, 3, 4, 2, 3, 1, 4, 1, 3, 2, 1, 4, 1, 4, 0, 3, 3, 3, 2, 3, 0, 3, 4, 4, 1, 1, 3, 3, 2, 3, 0, 1, 4, 0, 0, 3, 1, 2, 3, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 3, 2, 0, 4, 0, 1, 1, 3, 4, 3, 2, 0, 3, 2, 0, 3, 2, 0, 0, 3, 2, 3, 4, 1, 3, 1, 2, 1, 3, 4, 0, 0, 3, 2, 4, 4, 0, 2, 4, 4, 2, 3, 1, 4, 1, 2, 1, 4, 4, 1, 2, 0, 0, 1, 4, 0, 2, 2, 0, 1, 3, 4, 3, 0, 3, 3, 4, 3, 4, 1, 3, 1, 0, 0, 4, 4, 4, 2, 2, 2, 3, 1, 0, 4, 3] pubkeycol960 = [3, 2, 3, 0, 4, 4, 0, 3, 1, 1, 0, 3, 1, 4, 0, 3, 0, 0, 0, 4, 0, 2, 1, 2, 0, 1, 4, 1, 1, 0, 2, 0, 3, 3, 4, 0, 0, 0, 2, 2, 0, 3, 3, 1, 3, 0, 1, 3, 3, 4, 3, 1, 0, 2, 0, 2, 3, 3, 0, 4, 1, 4, 1, 4, 1, 1, 0, 4, 0, 0, 4, 2, 4, 3, 1, 3, 0, 3, 1, 4, 1, 3, 3, 1, 0, 1, 3, 0, 3, 0, 3, 2, 3, 1, 3, 1, 1, 3, 0, 3, 0, 2, 2, 3, 0, 2, 2, 4, 3, 4, 3, 1, 0, 4, 0, 4, 1, 4, 2, 4, 4, 1, 0, 1, 1, 3, 0, 0, 0, 3, 2, 2, 3, 4, 3, 4, 2, 4, 3, 3, 1, 1, 0, 4, 4, 0, 4, 4, 1, 4, 3, 2, 4, 0, 2, 3, 0, 0, 0, 1, 0, 0, 1, 1, 1, 4, 3, 2, 3, 3, 3, 4, 3, 0, 0, 2, 4, 2, 0, 3, 0, 4, 0, 4, 0, 1, 2, 0, 2, 2, 1, 1, 4, 4, 0, 0, 4, 3, 4, 4, 1, 2, 0, 4, 2, 3, 1, 4, 3, 2, 3, 4, 4, 4, 4, 1, 1, 0, 4, 1, 4, 2, 3, 3, 2, 2, 1, 3, 3, 0, 1, 3, 0, 0, 4, 4, 1, 3, 1, 0, 1, 1, 0, 1, 4, 0, 2, 0, 1, 4, 0, 1, 1, 3, 3, 4, 1, 0, 4, 2, 1, 4, 2, 3, 4, 4, 2, 2, 4, 3, 3, 2, 1, 2, 2, 1, 3, 0, 0, 4, 0, 3, 3, 3, 2, 3, 2, 3, 0, 3, 4, 2, 4, 3, 3, 3, 2, 1, 2, 4, 2, 0, 0, 0, 1, 1, 4, 0, 4, 3, 3, 3, 1, 3, 1, 0, 4, 2, 2, 3, 4, 4, 0, 1, 3, 2, 0, 0, 3, 3, 3, 4, 4, 0, 3, 4, 2, 1, 0, 2, 1, 1, 1, 0, 4, 1, 2, 4, 4, 4, 2, 4, 4, 2, 1, 4, 4, 1, 0, 3, 1, 3, 3, 2, 4, 2, 4, 4, 4, 3, 2, 4, 4, 3, 0, 2, 3, 4, 4, 0, 2, 3, 1, 1, 4, 3, 0, 3, 4, 0, 3, 3, 4, 2, 1, 0, 4, 1, 0, 4] pubkeycol961 = [3, 3, 0, 4, 4, 2, 0, 1, 2, 4, 0, 3, 4, 4, 2, 4, 3, 0, 3, 4, 1, 4, 1, 0, 0, 0, 0, 4, 4, 3, 4, 3, 0, 2, 3, 1, 3, 0, 0, 0, 2, 2, 3, 0, 3, 4, 0, 0, 0, 1, 4, 3, 3, 3, 3, 4, 1, 4, 0, 0, 2, 3, 3, 4, 0, 0, 0, 0, 3, 1, 4, 0, 4, 0, 3, 0, 4, 4, 1, 3, 4, 4, 1, 2, 3, 3, 4, 0, 3, 1, 3, 2, 2, 4, 1, 2, 1, 0, 4, 2, 3, 4, 1, 0, 2, 0, 4, 0, 2, 4, 4, 1, 2, 0, 0, 2, 3, 4, 2, 2, 0, 3, 1, 1, 2, 0, 1, 3, 4, 4, 0, 2, 0, 2, 1, 3, 2, 1, 2, 1, 3, 3, 1, 4, 4, 1, 0, 3, 0, 4, 0, 4, 3, 0, 3, 4, 0, 4, 1, 0, 1, 4, 1, 0, 3, 0, 3, 0, 4, 2, 4, 4, 4, 2, 1, 4, 4, 4, 1, 4, 0, 0, 4, 2, 4, 4, 4, 0, 4, 0, 4, 3, 0, 0, 1, 1, 1, 3, 3, 4, 4, 3, 0, 3, 0, 4, 1, 0, 1, 0, 4, 4, 1, 1, 2, 4, 1, 1, 0, 4, 0, 2, 4, 4, 0, 0, 3, 1, 0, 0, 1, 0, 4, 2, 1, 0, 2, 4, 2, 3, 2, 1, 1, 4, 3, 3, 3, 3, 0, 0, 3, 4, 0, 3, 3, 4, 3, 3, 0, 2, 2, 1, 1, 0, 2, 2, 4, 3, 4, 3, 4, 0, 1, 0, 0, 3, 0, 3, 1, 3, 0, 2, 3, 3, 4, 1, 4, 4, 2, 2, 0, 4, 2, 3, 2, 4, 3, 1, 2, 0, 3, 4, 4, 4, 3, 0, 1, 3, 4, 4, 3, 2, 3, 4, 1, 4, 4, 4, 2, 1, 0, 3, 3, 4, 1, 2, 3, 3, 1, 0, 1, 2, 1, 0, 1, 3, 0, 1, 2, 3, 4, 4, 2, 2, 1, 0, 3, 0, 4, 3, 3, 4, 2, 0, 4, 3, 0, 4, 3, 2, 3, 1, 4, 4, 1, 4, 3, 2, 3, 4, 1, 1, 3, 3, 4, 2, 4, 2, 3, 1, 1, 0, 1, 0, 2, 4, 0, 0, 0, 0, 3, 0, 4, 2, 0, 1, 4, 1, 4, 3] pubkeycol962 = [1, 3, 2, 1, 1, 4, 0, 1, 2, 2, 2, 0, 4, 3, 3, 4, 1, 3, 1, 2, 3, 4, 2, 2, 4, 0, 1, 1, 1, 2, 3, 4, 3, 1, 2, 0, 2, 1, 3, 4, 1, 0, 4, 2, 2, 3, 3, 1, 2, 0, 2, 3, 1, 3, 2, 3, 1, 4, 2, 1, 1, 1, 4, 0, 4, 0, 2, 4, 0, 4, 4, 0, 1, 0, 3, 0, 4, 3, 0, 3, 4, 1, 1, 4, 2, 3, 4, 1, 0, 4, 3, 1, 0, 1, 0, 4, 2, 1, 3, 2, 3, 1, 0, 4, 3, 4, 0, 0, 3, 3, 0, 3, 1, 0, 0, 2, 4, 1, 0, 3, 1, 4, 0, 3, 4, 3, 1, 1, 0, 1, 3, 4, 0, 3, 0, 2, 1, 1, 0, 2, 2, 3, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 3, 1, 3, 4, 1, 0, 3, 4, 4, 0, 1, 4, 3, 2, 4, 3, 3, 4, 0, 2, 4, 0, 4, 3, 2, 3, 3, 3, 0, 3, 3, 1, 4, 1, 4, 3, 1, 3, 2, 2, 0, 0, 3, 3, 2, 0, 3, 3, 0, 4, 1, 0, 0, 1, 2, 1, 4, 3, 0, 4, 3, 3, 4, 0, 0, 1, 0, 2, 1, 1, 4, 1, 2, 3, 3, 4, 0, 3, 1, 0, 1, 4, 4, 2, 4, 4, 0, 1, 4, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 0, 1, 0, 4, 0, 4, 4, 0, 4, 2, 4, 1, 2, 4, 1, 4, 0, 2, 3, 4, 4, 4, 3, 2, 2, 4, 2, 0, 1, 2, 1, 3, 4, 0, 4, 2, 2, 2, 0, 1, 4, 2, 2, 4, 0, 2, 4, 2, 2, 2, 4, 3, 4, 1, 0, 4, 3, 4, 1, 0, 4, 2, 4, 0, 1, 2, 0, 3, 1, 1, 0, 3, 3, 2, 4, 3, 1, 3, 0, 0, 4, 1, 3, 3, 4, 1, 3, 1, 4, 4, 2, 0, 0, 1, 0, 3, 3, 2, 0, 1, 0, 0, 2, 4, 3, 1, 3, 0, 2, 4, 1, 3, 0, 0, 1, 3, 1, 2, 2, 2, 1, 1, 3, 1, 0, 3, 3, 2, 4, 4, 3, 3, 4, 0, 3, 4, 0, 2, 2, 4, 3, 2, 2, 1, 4, 2, 4] pubkeycol963 = [3, 0, 1, 0, 0, 2, 0, 0, 1, 4, 2, 3, 1, 2, 2, 3, 3, 2, 4, 4, 3, 1, 2, 1, 4, 0, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 1, 4, 0, 0, 4, 2, 4, 0, 3, 2, 2, 3, 1, 4, 1, 1, 4, 2, 3, 2, 2, 1, 2, 4, 0, 2, 4, 3, 2, 4, 3, 4, 2, 3, 2, 4, 2, 3, 4, 0, 1, 3, 3, 4, 1, 4, 1, 2, 1, 1, 1, 0, 3, 2, 0, 1, 3, 3, 3, 4, 4, 1, 0, 4, 3, 2, 2, 1, 2, 0, 4, 0, 0, 4, 0, 4, 1, 0, 2, 4, 2, 0, 1, 4, 1, 2, 2, 0, 1, 0, 4, 0, 0, 1, 0, 4, 1, 1, 2, 0, 0, 3, 0, 2, 1, 0, 3, 1, 1, 0, 2, 1, 2, 4, 4, 1, 1, 4, 4, 4, 0, 0, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 2, 3, 2, 0, 1, 1, 3, 0, 2, 3, 2, 2, 0, 3, 1, 1, 2, 2, 0, 0, 1, 4, 3, 4, 4, 3, 1, 1, 4, 2, 2, 4, 1, 2, 1, 2, 3, 1, 2, 3, 3, 3, 0, 0, 3, 2, 1, 3, 1, 0, 1, 0, 0, 0, 3, 2, 1, 2, 3, 2, 2, 4, 2, 1, 4, 0, 4, 2, 1, 1, 3, 2, 1, 4, 0, 1, 0, 4, 3, 4, 4, 0, 3, 1, 2, 0, 4, 3, 1, 4, 0, 4, 2, 0, 4, 3, 3, 1, 1, 1, 2, 1, 0, 3, 4, 3, 3, 4, 0, 3, 2, 3, 4, 4, 1, 3, 0, 2, 1, 3, 3, 0, 2, 1, 4, 4, 3, 2, 2, 2, 1, 1, 4, 3, 2, 2, 0, 2, 2, 4, 3, 4, 0, 4, 4, 1, 4, 0, 0, 4, 3, 0, 1, 4, 0, 4, 4, 1, 0, 0, 4, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 3, 1, 1, 4, 4, 1, 2, 1, 0, 1, 2, 4, 2, 2, 0, 3, 0, 3, 2, 3, 2, 2, 2, 4, 1, 3, 1, 4, 2, 3, 4, 3, 0, 4, 3, 3, 0, 3, 2, 0, 1, 1, 3, 3, 1, 2, 4, 1, 1, 4, 1, 2, 0, 4, 2, 3, 1, 3, 1, 2] pubkeycol964 = [4, 0, 4, 4, 0, 4, 0, 1, 3, 1, 2, 2, 2, 3, 4, 0, 3, 2, 2, 4, 2, 4, 4, 2, 0, 1, 3, 1, 0, 1, 3, 1, 0, 4, 4, 0, 4, 4, 0, 1, 0, 2, 2, 2, 4, 0, 4, 0, 4, 1, 1, 0, 3, 3, 0, 2, 4, 2, 2, 2, 4, 1, 4, 3, 2, 2, 1, 2, 2, 4, 0, 0, 2, 4, 4, 4, 0, 3, 0, 4, 0, 4, 4, 1, 0, 3, 1, 0, 1, 4, 0, 3, 1, 0, 4, 0, 2, 0, 3, 0, 1, 0, 4, 4, 3, 1, 3, 3, 0, 2, 0, 4, 4, 3, 3, 1, 3, 0, 1, 4, 2, 0, 1, 3, 2, 4, 4, 2, 2, 4, 1, 0, 2, 4, 0, 3, 2, 1, 0, 0, 4, 2, 4, 3, 2, 4, 4, 1, 0, 1, 4, 3, 0, 2, 4, 2, 0, 4, 4, 3, 2, 4, 1, 3, 3, 3, 3, 2, 4, 0, 3, 0, 3, 2, 3, 2, 4, 4, 3, 3, 3, 4, 4, 2, 2, 3, 3, 0, 3, 4, 1, 0, 4, 1, 3, 4, 4, 2, 0, 2, 2, 4, 1, 1, 3, 1, 1, 2, 2, 2, 4, 0, 4, 1, 3, 4, 3, 0, 4, 1, 1, 2, 3, 3, 3, 0, 4, 0, 2, 0, 1, 2, 4, 3, 3, 4, 3, 0, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 0, 3, 3, 2, 4, 3, 3, 0, 4, 4, 1, 1, 2, 3, 4, 1, 1, 2, 1, 4, 0, 2, 1, 2, 4, 3, 1, 1, 1, 3, 2, 3, 4, 1, 4, 1, 4, 1, 1, 3, 1, 4, 2, 4, 1, 4, 4, 0, 3, 3, 4, 2, 0, 0, 2, 1, 3, 0, 1, 0, 2, 3, 3, 0, 1, 4, 4, 2, 3, 1, 3, 0, 3, 2, 0, 0, 4, 3, 0, 4, 3, 0, 3, 2, 0, 0, 4, 3, 0, 3, 1, 1, 0, 1, 2, 4, 2, 1, 4, 3, 1, 4, 0, 4, 0, 3, 3, 4, 1, 0, 3, 3, 4, 0, 0, 0, 2, 4, 1, 3, 4, 0, 4, 4, 1, 3, 3, 3, 1, 2, 4, 4, 0, 3, 2, 3, 3, 2, 1, 0, 0, 3, 3, 0, 4, 0, 0, 1, 0, 0, 1, 2] pubkeycol965 = [2, 0, 2, 3, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 4, 3, 0, 2, 4, 4, 3, 4, 2, 2, 3, 3, 0, 0, 1, 1, 0, 4, 0, 3, 2, 1, 2, 1, 1, 4, 2, 2, 1, 2, 1, 1, 3, 3, 2, 3, 2, 3, 2, 1, 0, 2, 1, 3, 2, 4, 2, 2, 0, 2, 1, 4, 4, 4, 4, 1, 2, 4, 4, 2, 0, 3, 1, 0, 0, 3, 1, 2, 1, 2, 2, 0, 4, 2, 1, 0, 2, 2, 1, 4, 4, 4, 0, 1, 4, 2, 2, 3, 3, 1, 2, 0, 1, 2, 3, 4, 0, 1, 3, 1, 1, 0, 0, 2, 4, 2, 1, 0, 4, 1, 4, 2, 4, 3, 4, 4, 4, 3, 2, 1, 4, 3, 3, 4, 1, 2, 0, 3, 3, 1, 4, 0, 3, 3, 0, 4, 0, 2, 2, 1, 3, 3, 1, 4, 1, 4, 2, 2, 2, 0, 2, 1, 2, 4, 2, 3, 0, 3, 3, 3, 0, 1, 3, 3, 2, 3, 2, 2, 1, 0, 0, 1, 2, 3, 4, 3, 0, 3, 2, 4, 4, 4, 1, 2, 4, 4, 2, 0, 4, 3, 1, 0, 2, 0, 2, 2, 0, 4, 1, 4, 0, 2, 0, 1, 0, 2, 3, 4, 1, 1, 2, 3, 0, 0, 3, 2, 1, 3, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 3, 2, 4, 3, 1, 3, 2, 3, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 4, 3, 1, 0, 3, 1, 0, 1, 3, 4, 0, 1, 3, 4, 4, 2, 1, 2, 3, 1, 2, 4, 3, 3, 4, 4, 3, 1, 4, 0, 1, 1, 1, 0, 0, 3, 1, 4, 4, 3, 1, 1, 4, 1, 4, 4, 1, 1, 1, 1, 3, 4, 3, 0, 3, 2, 3, 4, 3, 3, 0, 1, 2, 4, 2, 3, 4, 2, 0, 4, 2, 3, 1, 1, 0, 0, 0, 1, 3, 1, 3, 1, 1, 0, 0, 1, 1, 3, 0, 3, 0, 1, 4, 3, 0, 2, 4, 3, 0, 4, 1, 4, 1, 0, 3, 2, 0, 1, 3, 2, 2, 2, 1, 1, 3, 1, 1, 3, 2, 1, 1, 1, 3, 1, 2, 0, 1, 1, 0, 3, 2, 3, 0, 2, 2, 3, 0] pubkeycol966 = [2, 1, 2, 3, 0, 3, 0, 3, 0, 4, 2, 3, 4, 1, 0, 0, 4, 0, 3, 3, 1, 4, 0, 2, 0, 4, 3, 1, 3, 4, 2, 2, 2, 0, 3, 2, 2, 3, 0, 3, 4, 2, 4, 0, 0, 0, 3, 1, 2, 4, 1, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 0, 2, 4, 1, 4, 3, 1, 0, 3, 0, 4, 1, 4, 3, 1, 1, 1, 4, 4, 4, 3, 3, 4, 3, 2, 2, 1, 3, 2, 2, 3, 1, 3, 0, 0, 2, 4, 2, 3, 3, 2, 2, 2, 3, 4, 4, 1, 0, 4, 1, 2, 3, 1, 3, 2, 3, 3, 1, 2, 3, 0, 4, 1, 2, 4, 1, 0, 0, 4, 1, 3, 4, 0, 2, 0, 2, 1, 3, 3, 0, 1, 1, 0, 4, 1, 0, 4, 2, 2, 4, 1, 3, 0, 3, 3, 0, 2, 4, 4, 3, 0, 2, 2, 0, 1, 1, 0, 3, 0, 1, 1, 1, 1, 4, 1, 4, 3, 4, 3, 3, 0, 2, 1, 4, 0, 3, 0, 2, 4, 4, 1, 1, 4, 0, 2, 2, 2, 0, 1, 3, 1, 2, 3, 2, 0, 4, 4, 4, 4, 0, 1, 0, 2, 3, 4, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 4, 1, 4, 0, 4, 1, 1, 2, 2, 3, 2, 1, 2, 4, 2, 1, 2, 2, 2, 1, 2, 3, 0, 0, 0, 1, 2, 2, 0, 3, 3, 3, 4, 0, 0, 0, 2, 0, 2, 2, 1, 0, 3, 0, 4, 0, 1, 3, 2, 4, 3, 3, 2, 1, 0, 3, 4, 4, 4, 4, 3, 1, 1, 2, 1, 0, 2, 3, 2, 1, 4, 3, 0, 4, 3, 0, 3, 0, 2, 2, 3, 0, 0, 1, 3, 0, 1, 1, 2, 1, 0, 0, 2, 4, 4, 1, 0, 2, 1, 4, 4, 2, 2, 0, 3, 3, 4, 3, 3, 1, 0, 0, 3, 4, 3, 0, 0, 3, 1, 2, 1, 4, 4, 2, 0, 3, 1, 4, 2, 2, 2, 4, 1, 4, 4, 0, 4, 3, 0, 2, 2, 4, 3, 1, 1, 1, 3, 0, 4, 3, 4, 0, 0, 4, 2, 1, 1, 0, 4, 2, 2, 0, 2, 0, 4, 1, 2, 1, 2, 4, 0, 3, 3, 4] pubkeycol967 = [3, 0, 3, 0, 2, 3, 4, 0, 0, 1, 4, 0, 1, 2, 3, 2, 3, 0, 4, 2, 4, 0, 1, 0, 3, 3, 4, 2, 0, 3, 0, 0, 3, 4, 0, 4, 2, 4, 2, 1, 4, 1, 3, 4, 3, 4, 2, 1, 2, 2, 1, 1, 0, 4, 3, 3, 3, 3, 4, 0, 3, 3, 0, 1, 1, 2, 0, 3, 0, 1, 2, 0, 2, 0, 4, 4, 4, 4, 3, 3, 3, 2, 3, 2, 2, 3, 1, 2, 1, 4, 4, 2, 0, 0, 1, 2, 0, 3, 4, 3, 1, 3, 1, 1, 4, 3, 2, 1, 4, 0, 0, 1, 0, 4, 1, 2, 4, 1, 4, 2, 1, 2, 1, 0, 2, 4, 2, 2, 0, 0, 4, 2, 2, 3, 2, 3, 3, 0, 1, 4, 0, 2, 1, 2, 0, 4, 1, 0, 4, 4, 1, 3, 1, 0, 3, 3, 3, 4, 2, 4, 3, 3, 3, 3, 4, 2, 1, 4, 3, 1, 1, 2, 2, 2, 1, 3, 0, 1, 3, 0, 0, 4, 0, 2, 3, 0, 4, 3, 0, 1, 2, 2, 1, 4, 4, 1, 2, 3, 1, 2, 2, 1, 2, 4, 2, 2, 2, 0, 2, 0, 2, 3, 4, 1, 4, 2, 3, 3, 1, 4, 2, 1, 0, 4, 3, 4, 0, 2, 0, 3, 4, 1, 0, 4, 3, 3, 3, 2, 4, 2, 0, 1, 3, 1, 0, 0, 1, 2, 2, 3, 1, 2, 2, 1, 3, 4, 4, 2, 0, 1, 4, 0, 4, 2, 2, 3, 4, 4, 1, 3, 4, 3, 2, 0, 0, 3, 3, 3, 0, 3, 3, 4, 1, 3, 3, 2, 4, 2, 2, 2, 4, 4, 0, 4, 2, 3, 0, 3, 4, 4, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 3, 2, 0, 2, 0, 4, 2, 1, 2, 0, 0, 2, 4, 0, 2, 3, 4, 3, 2, 2, 1, 4, 3, 3, 3, 3, 1, 2, 1, 0, 2, 0, 4, 2, 0, 1, 3, 1, 1, 0, 2, 4, 1, 1, 3, 1, 2, 0, 3, 1, 3, 2, 1, 4, 2, 4, 0, 1, 4, 3, 0, 2, 1, 3, 0, 0, 0, 0, 0, 2, 3, 0, 3, 3, 4, 2, 0, 3, 0, 3, 4, 2, 0, 4, 2, 0, 4, 3, 1] pubkeycol968 = [1, 2, 2, 2, 0, 0, 4, 3, 4, 2, 0, 0, 0, 4, 3, 0, 4, 3, 0, 1, 1, 0, 0, 3, 4, 2, 4, 0, 1, 3, 2, 2, 4, 2, 2, 2, 2, 4, 3, 2, 4, 1, 3, 4, 0, 4, 1, 1, 2, 1, 2, 2, 0, 0, 0, 3, 2, 4, 1, 2, 0, 1, 2, 1, 0, 1, 2, 3, 0, 1, 4, 1, 4, 2, 0, 3, 2, 0, 0, 0, 3, 0, 2, 2, 0, 0, 1, 3, 3, 0, 2, 2, 0, 1, 4, 1, 1, 2, 1, 0, 3, 3, 4, 1, 2, 0, 1, 4, 4, 1, 0, 3, 2, 2, 4, 0, 4, 3, 0, 3, 2, 3, 1, 0, 3, 2, 0, 4, 0, 4, 0, 2, 3, 2, 2, 3, 2, 0, 3, 0, 4, 3, 2, 4, 0, 0, 0, 0, 0, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 1, 4, 3, 3, 2, 3, 4, 1, 4, 0, 1, 3, 1, 3, 3, 3, 4, 2, 4, 1, 4, 0, 3, 2, 4, 0, 2, 0, 4, 2, 3, 0, 0, 1, 3, 1, 2, 1, 0, 1, 0, 1, 0, 3, 0, 3, 0, 3, 1, 2, 3, 0, 2, 1, 2, 3, 0, 4, 3, 1, 4, 2, 2, 3, 4, 0, 1, 3, 1, 3, 2, 1, 2, 1, 0, 2, 3, 2, 2, 0, 3, 3, 0, 2, 4, 4, 4, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 3, 0, 1, 2, 2, 4, 0, 1, 1, 0, 4, 2, 2, 1, 2, 0, 2, 0, 4, 2, 4, 3, 3, 1, 2, 4, 0, 0, 4, 3, 4, 4, 2, 4, 4, 3, 3, 1, 1, 0, 3, 3, 4, 1, 4, 1, 3, 3, 3, 1, 0, 3, 0, 2, 1, 2, 0, 1, 4, 0, 0, 4, 4, 2, 2, 2, 1, 4, 2, 4, 3, 0, 2, 2, 2, 0, 2, 2, 2, 2, 3, 0, 3, 3, 2, 2, 4, 1, 2, 2, 2, 1, 1, 2, 0, 4, 3, 1, 3, 0, 0, 4, 0, 1, 2, 0, 4, 3, 2, 3, 4, 2, 1, 2, 2, 3, 0, 3, 2, 4, 3, 2, 1, 0, 2, 0, 2, 1, 2, 0, 4, 2, 3, 3, 4, 2, 2, 0, 3, 2, 2, 3, 4] pubkeycol969 = [4, 3, 1, 2, 0, 0, 4, 2, 4, 0, 3, 0, 4, 1, 0, 4, 4, 0, 1, 2, 1, 0, 3, 3, 4, 2, 4, 4, 2, 0, 3, 3, 1, 1, 2, 0, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 4, 1, 1, 2, 4, 0, 2, 4, 3, 2, 3, 3, 2, 4, 2, 1, 0, 1, 0, 2, 3, 1, 3, 3, 0, 1, 4, 3, 2, 2, 3, 3, 0, 4, 1, 0, 3, 3, 0, 0, 1, 1, 2, 4, 1, 4, 1, 2, 4, 1, 0, 1, 2, 2, 1, 3, 3, 0, 3, 1, 2, 3, 1, 4, 3, 0, 3, 4, 2, 3, 4, 0, 1, 4, 0, 1, 4, 4, 2, 2, 3, 0, 3, 0, 0, 0, 1, 4, 0, 4, 3, 4, 2, 1, 4, 3, 2, 4, 3, 3, 0, 0, 0, 1, 2, 1, 2, 2, 2, 4, 2, 2, 0, 2, 2, 1, 1, 3, 4, 2, 3, 4, 0, 4, 1, 4, 0, 0, 2, 3, 2, 4, 1, 3, 1, 2, 1, 3, 4, 3, 1, 2, 4, 2, 2, 2, 4, 0, 2, 3, 2, 3, 3, 2, 3, 2, 4, 3, 0, 2, 3, 3, 1, 3, 2, 4, 0, 4, 4, 2, 4, 0, 2, 0, 2, 3, 3, 1, 2, 1, 0, 4, 4, 4, 3, 4, 4, 2, 4, 4, 4, 2, 3, 1, 4, 0, 2, 0, 2, 1, 2, 0, 2, 4, 4, 3, 2, 2, 4, 3, 4, 1, 4, 4, 1, 2, 2, 2, 0, 3, 0, 3, 1, 1, 4, 4, 2, 2, 1, 3, 2, 3, 1, 0, 2, 3, 3, 4, 2, 2, 2, 2, 2, 2, 4, 3, 4, 0, 2, 1, 4, 0, 0, 3, 3, 2, 1, 2, 0, 0, 0, 4, 1, 2, 1, 3, 2, 4, 4, 4, 4, 2, 2, 1, 0, 2, 4, 4, 0, 0, 3, 2, 4, 2, 3, 4, 1, 2, 3, 0, 2, 0, 1, 3, 4, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 3, 0, 0, 1, 3, 3, 1, 0, 2, 2, 2, 3, 3, 4, 3, 2, 0, 4, 4, 0, 2, 4, 0, 1, 1, 1, 4, 4, 3, 0, 1, 2, 2, 4, 2] pubkeycol970 = [1, 0, 4, 2, 4, 2, 2, 2, 0, 1, 1, 0, 3, 4, 0, 1, 0, 1, 4, 2, 2, 3, 0, 3, 4, 3, 2, 0, 2, 1, 3, 3, 0, 2, 1, 2, 4, 4, 3, 2, 4, 2, 4, 3, 4, 4, 2, 0, 0, 1, 3, 2, 4, 2, 3, 3, 1, 2, 2, 2, 3, 2, 2, 3, 0, 3, 3, 0, 2, 0, 3, 1, 0, 1, 2, 0, 4, 0, 0, 4, 3, 1, 1, 1, 2, 3, 2, 1, 1, 0, 0, 2, 1, 4, 1, 1, 3, 0, 2, 2, 2, 4, 2, 2, 3, 3, 2, 1, 4, 1, 2, 0, 0, 2, 2, 2, 2, 4, 1, 3, 3, 3, 0, 4, 1, 2, 0, 1, 0, 0, 1, 2, 4, 3, 0, 2, 3, 0, 2, 3, 1, 4, 2, 3, 2, 2, 0, 1, 0, 4, 1, 3, 3, 4, 1, 4, 1, 1, 0, 4, 2, 0, 2, 3, 4, 3, 1, 4, 1, 0, 4, 3, 1, 2, 3, 4, 4, 1, 3, 4, 1, 2, 4, 1, 0, 1, 4, 1, 4, 2, 3, 3, 2, 3, 1, 3, 1, 3, 0, 4, 1, 2, 2, 2, 4, 2, 3, 0, 2, 0, 0, 2, 3, 0, 0, 1, 4, 2, 2, 1, 4, 0, 0, 0, 4, 4, 1, 4, 1, 2, 1, 4, 4, 3, 4, 0, 2, 4, 1, 2, 1, 2, 3, 2, 4, 0, 1, 3, 1, 4, 4, 3, 4, 0, 0, 0, 3, 2, 1, 3, 2, 4, 3, 1, 1, 2, 1, 1, 4, 1, 4, 3, 4, 1, 4, 3, 1, 3, 0, 3, 1, 3, 2, 0, 3, 4, 0, 0, 0, 3, 4, 3, 2, 4, 4, 0, 0, 0, 2, 4, 2, 2, 0, 3, 4, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 1, 0, 2, 4, 4, 1, 2, 0, 4, 1, 3, 3, 4, 3, 0, 2, 4, 4, 2, 2, 2, 3, 4, 1, 3, 4, 1, 3, 2, 2, 2, 2, 2, 0, 3, 2, 1, 4, 2, 4, 3, 1, 2, 3, 4, 3, 2, 3, 1, 1, 0, 3, 1, 0, 2, 0, 2, 1, 3, 4, 3, 2, 2, 0, 2, 4, 2, 2, 3, 4, 0, 1, 3, 3, 2, 2, 3] pubkeycol971 = [0, 0, 2, 4, 0, 2, 0, 2, 1, 2, 0, 4, 3, 0, 0, 0, 0, 0, 1, 2, 1, 2, 3, 0, 3, 1, 2, 0, 4, 0, 0, 2, 1, 3, 1, 1, 3, 2, 1, 3, 0, 2, 1, 4, 4, 0, 2, 1, 4, 1, 2, 3, 3, 4, 4, 2, 2, 3, 1, 2, 0, 4, 0, 3, 3, 2, 3, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 4, 1, 1, 0, 0, 2, 1, 0, 4, 0, 3, 4, 0, 4, 2, 2, 4, 0, 0, 0, 0, 3, 0, 0, 3, 2, 4, 0, 3, 0, 4, 2, 0, 2, 0, 2, 2, 2, 2, 1, 3, 1, 0, 3, 1, 3, 2, 2, 0, 3, 3, 1, 3, 3, 3, 2, 1, 2, 3, 3, 2, 4, 0, 2, 2, 4, 4, 3, 1, 3, 4, 4, 3, 0, 0, 1, 0, 3, 3, 1, 3, 0, 4, 3, 2, 4, 4, 4, 3, 3, 3, 4, 4, 1, 2, 3, 4, 3, 0, 4, 1, 4, 1, 3, 3, 4, 1, 3, 4, 2, 1, 0, 3, 3, 0, 0, 4, 3, 0, 3, 2, 1, 4, 3, 2, 4, 3, 3, 2, 3, 4, 4, 0, 1, 1, 4, 2, 0, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 3, 1, 1, 0, 3, 4, 2, 2, 2, 2, 2, 0, 3, 2, 2, 3, 4, 2, 0, 0, 0, 2, 3, 1, 4, 2, 1, 3, 2, 0, 4, 2, 4, 4, 3, 2, 4, 4, 4, 4, 2, 1, 1, 3, 0, 4, 1, 0, 3, 1, 4, 1, 1, 2, 3, 3, 2, 2, 2, 0, 2, 4, 1, 1, 1, 4, 4, 4, 4, 0, 4, 3, 0, 3, 2, 2, 1, 1, 3, 4, 1, 4, 0, 1, 0, 4, 0, 3, 2, 3, 3, 2, 1, 0, 2, 4, 1, 1, 2, 2, 4, 2, 1, 1, 2, 1, 2, 4, 0, 0, 3, 3, 2, 1, 2, 2, 4, 1, 1, 1, 3, 1, 3, 2, 2, 0, 4, 0, 0, 3, 1, 1, 2, 4, 3, 1, 1, 4, 3, 3, 3, 1, 1, 4, 1, 3, 3, 4, 0, 4, 2, 4, 4, 3, 4, 0, 3, 4, 3, 4, 0, 2, 0, 2, 3, 1, 0, 4, 4, 1, 1, 3, 2, 3] pubkeycol972 = [4, 1, 3, 4, 4, 1, 4, 1, 3, 3, 0, 3, 2, 1, 4, 0, 3, 2, 3, 0, 2, 0, 2, 0, 3, 2, 0, 3, 2, 3, 0, 1, 4, 3, 0, 3, 1, 0, 0, 1, 4, 2, 4, 1, 4, 1, 2, 2, 4, 1, 1, 2, 4, 4, 4, 2, 1, 3, 0, 3, 3, 0, 4, 1, 4, 4, 2, 0, 3, 3, 4, 3, 2, 0, 2, 4, 1, 3, 2, 2, 3, 3, 0, 3, 2, 3, 0, 4, 0, 3, 2, 0, 4, 2, 3, 0, 1, 3, 4, 3, 1, 0, 4, 4, 4, 2, 4, 0, 0, 0, 0, 1, 3, 4, 3, 3, 4, 1, 1, 3, 3, 4, 0, 1, 3, 4, 1, 1, 2, 2, 4, 3, 3, 2, 4, 0, 3, 3, 2, 0, 0, 1, 1, 3, 1, 3, 2, 1, 1, 4, 2, 1, 0, 2, 2, 1, 2, 2, 2, 4, 1, 1, 4, 4, 1, 3, 1, 2, 3, 4, 4, 0, 4, 2, 2, 2, 1, 1, 3, 4, 1, 0, 1, 4, 4, 3, 3, 4, 0, 2, 2, 0, 2, 4, 0, 3, 1, 2, 0, 1, 1, 2, 1, 4, 2, 4, 0, 4, 0, 2, 4, 1, 4, 0, 2, 1, 3, 4, 3, 2, 3, 4, 0, 2, 4, 1, 0, 3, 2, 0, 2, 3, 3, 4, 2, 0, 2, 4, 1, 1, 3, 0, 2, 0, 4, 2, 1, 1, 2, 4, 1, 1, 2, 2, 2, 0, 3, 0, 1, 4, 1, 2, 1, 4, 2, 2, 1, 4, 4, 3, 4, 3, 4, 0, 2, 3, 4, 1, 1, 0, 1, 3, 3, 2, 4, 3, 3, 4, 0, 0, 0, 1, 3, 2, 0, 0, 1, 1, 3, 2, 3, 4, 1, 4, 3, 2, 3, 0, 2, 0, 4, 0, 4, 4, 2, 4, 4, 2, 3, 2, 1, 1, 4, 0, 1, 4, 4, 2, 4, 0, 4, 4, 3, 1, 4, 4, 4, 2, 4, 2, 1, 4, 4, 4, 4, 1, 0, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 2, 0, 4, 1, 4, 2, 4, 3, 4, 0, 4, 2, 2, 1, 2, 3, 3, 0, 0, 1, 4, 0, 0, 4, 0, 3, 0, 1, 3, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4] pubkeycol973 = [1, 3, 2, 3, 0, 3, 3, 4, 3, 0, 4, 4, 0, 3, 2, 4, 2, 2, 3, 2, 3, 0, 4, 2, 3, 3, 0, 1, 0, 0, 2, 2, 3, 4, 2, 3, 2, 4, 2, 1, 4, 1, 0, 0, 4, 4, 3, 1, 2, 4, 1, 0, 4, 3, 1, 3, 3, 2, 0, 2, 3, 0, 4, 4, 1, 3, 3, 1, 1, 1, 1, 0, 3, 3, 0, 2, 0, 4, 1, 2, 1, 2, 2, 3, 2, 1, 0, 1, 3, 3, 4, 4, 2, 3, 4, 1, 4, 1, 2, 1, 2, 0, 3, 4, 1, 4, 3, 4, 1, 4, 1, 3, 0, 3, 4, 0, 3, 1, 4, 0, 1, 3, 1, 1, 3, 2, 1, 2, 0, 2, 0, 0, 0, 3, 3, 2, 4, 1, 3, 0, 4, 1, 2, 4, 0, 1, 4, 2, 1, 3, 3, 1, 1, 4, 3, 4, 0, 4, 4, 2, 3, 0, 3, 4, 2, 2, 0, 2, 3, 0, 4, 1, 0, 4, 4, 3, 0, 3, 0, 0, 0, 4, 1, 2, 1, 0, 1, 3, 2, 1, 4, 4, 0, 3, 1, 0, 2, 0, 0, 4, 0, 2, 3, 3, 3, 2, 4, 3, 2, 4, 1, 4, 1, 0, 2, 1, 2, 1, 3, 1, 0, 0, 1, 2, 0, 2, 4, 0, 4, 3, 0, 0, 4, 3, 4, 0, 0, 2, 3, 2, 0, 3, 1, 4, 4, 2, 0, 3, 1, 4, 0, 3, 1, 4, 2, 1, 4, 2, 3, 1, 1, 2, 4, 2, 0, 0, 2, 2, 4, 4, 0, 4, 4, 2, 3, 4, 4, 4, 2, 2, 2, 4, 3, 0, 3, 1, 1, 0, 0, 2, 4, 2, 2, 1, 4, 4, 3, 3, 1, 3, 1, 4, 1, 4, 4, 4, 1, 2, 4, 2, 2, 0, 4, 2, 1, 1, 3, 0, 0, 2, 2, 3, 0, 3, 0, 1, 1, 0, 4, 1, 4, 1, 1, 3, 2, 3, 2, 4, 2, 4, 4, 1, 0, 4, 4, 3, 2, 2, 4, 2, 4, 3, 2, 4, 3, 2, 1, 4, 0, 0, 2, 2, 4, 1, 1, 1, 3, 1, 4, 2, 0, 0, 2, 1, 0, 4, 3, 4, 0, 0, 2, 2, 2, 3, 4, 2, 1, 2, 1, 3, 1, 1, 0, 0, 2, 1, 3, 1, 1, 0] pubkeycol974 = [0, 1, 3, 3, 4, 2, 3, 1, 0, 2, 2, 0, 2, 2, 4, 2, 0, 3, 3, 4, 3, 4, 2, 2, 0, 0, 3, 2, 4, 1, 4, 4, 2, 3, 3, 0, 2, 4, 3, 3, 2, 0, 2, 4, 1, 3, 2, 0, 0, 2, 4, 2, 3, 2, 2, 1, 3, 3, 3, 1, 2, 2, 1, 2, 1, 0, 1, 3, 4, 4, 4, 3, 0, 1, 4, 0, 2, 2, 1, 0, 4, 3, 0, 0, 2, 1, 1, 4, 2, 4, 4, 4, 4, 3, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 3, 0, 4, 4, 2, 0, 1, 1, 0, 3, 2, 2, 3, 4, 3, 4, 1, 4, 3, 0, 0, 4, 0, 3, 1, 1, 2, 4, 1, 4, 2, 0, 4, 4, 2, 4, 2, 1, 4, 2, 1, 2, 3, 4, 2, 3, 0, 1, 2, 2, 3, 3, 2, 4, 3, 2, 4, 2, 1, 0, 4, 2, 4, 0, 1, 4, 4, 4, 4, 4, 3, 4, 1, 3, 0, 1, 1, 0, 4, 0, 1, 3, 2, 1, 4, 4, 2, 3, 2, 3, 1, 4, 0, 2, 3, 4, 3, 4, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 3, 1, 2, 3, 0, 4, 0, 1, 3, 4, 4, 4, 0, 1, 2, 2, 4, 2, 1, 4, 4, 1, 3, 1, 0, 1, 3, 4, 3, 4, 4, 3, 0, 2, 4, 1, 1, 1, 3, 0, 0, 4, 4, 4, 3, 1, 1, 0, 2, 3, 4, 4, 1, 4, 0, 0, 1, 2, 2, 1, 0, 3, 4, 1, 3, 0, 4, 0, 2, 2, 4, 0, 0, 2, 1, 0, 0, 2, 1, 4, 1, 1, 3, 0, 0, 0, 4, 2, 4, 3, 3, 0, 3, 1, 0, 3, 3, 1, 2, 4, 2, 3, 4, 4, 1, 2, 4, 2, 2, 3, 3, 0, 0, 3, 1, 1, 2, 4, 4, 2, 3, 1, 3, 4, 0, 0, 3, 2, 0, 3, 3, 0, 1, 3, 4, 1, 2, 3, 2, 1, 0, 1, 3, 1, 4, 0, 3, 0, 2, 0, 1, 2, 1, 1, 0, 4, 1, 0, 2, 3, 3, 2, 1, 3, 0, 4, 3, 4, 3, 2, 3, 2, 1, 3, 1, 1, 4, 0, 4, 3, 3, 3, 0, 1, 1, 0, 0, 2] pubkeycol975 = [3, 4, 3, 3, 1, 1, 0, 2, 4, 4, 3, 4, 2, 0, 4, 3, 1, 2, 4, 3, 4, 0, 3, 2, 4, 2, 0, 1, 1, 3, 0, 4, 1, 2, 2, 0, 4, 2, 4, 4, 1, 0, 3, 4, 3, 0, 1, 3, 4, 4, 1, 2, 1, 1, 2, 4, 1, 1, 0, 1, 2, 4, 0, 4, 2, 3, 1, 3, 2, 4, 1, 0, 3, 2, 3, 4, 0, 0, 1, 3, 3, 4, 3, 0, 1, 2, 4, 0, 2, 4, 2, 4, 3, 2, 0, 4, 3, 4, 1, 1, 1, 3, 4, 4, 4, 3, 3, 0, 2, 0, 4, 1, 0, 3, 1, 0, 4, 4, 2, 4, 1, 0, 2, 4, 2, 0, 0, 2, 2, 4, 0, 3, 0, 0, 2, 4, 2, 1, 4, 0, 2, 2, 1, 3, 3, 3, 2, 1, 4, 2, 2, 2, 4, 0, 3, 0, 3, 2, 1, 2, 2, 2, 4, 4, 2, 1, 2, 4, 0, 4, 4, 3, 3, 2, 4, 2, 3, 4, 0, 3, 1, 4, 4, 0, 2, 1, 2, 2, 2, 3, 4, 0, 3, 3, 2, 1, 4, 2, 1, 2, 0, 1, 0, 2, 3, 3, 2, 4, 0, 3, 3, 1, 4, 0, 3, 1, 1, 2, 4, 0, 1, 0, 2, 4, 0, 1, 3, 2, 1, 4, 0, 4, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 4, 2, 1, 1, 2, 2, 0, 2, 2, 4, 2, 1, 3, 1, 3, 0, 3, 1, 2, 0, 0, 0, 0, 0, 1, 4, 2, 3, 1, 4, 0, 4, 3, 1, 1, 1, 1, 0, 4, 1, 4, 3, 4, 2, 4, 4, 1, 4, 2, 2, 0, 1, 3, 2, 1, 1, 0, 4, 4, 0, 0, 3, 1, 3, 3, 1, 1, 1, 2, 3, 4, 3, 4, 0, 2, 1, 0, 3, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 3, 4, 3, 2, 3, 3, 1, 1, 3, 2, 0, 1, 4, 4, 4, 4, 3, 3, 1, 0, 2, 4, 3, 4, 3, 1, 0, 4, 4, 2, 4, 2, 3, 0, 0, 4, 0, 3, 1, 1, 1, 3, 1, 2, 0, 2, 0, 0, 4, 2, 3, 0, 0, 4, 4, 2, 2, 0, 4, 4, 2, 4, 1, 0] pubkeycol976 = [0, 1, 0, 2, 3, 1, 1, 1, 0, 1, 4, 2, 1, 3, 2, 2, 4, 0, 4, 1, 3, 1, 2, 2, 4, 2, 1, 2, 2, 2, 3, 1, 3, 2, 2, 1, 4, 1, 2, 4, 2, 4, 3, 3, 4, 4, 4, 1, 2, 2, 0, 3, 4, 3, 2, 3, 1, 0, 3, 1, 1, 4, 3, 0, 1, 2, 4, 2, 3, 0, 0, 2, 1, 3, 3, 1, 3, 4, 4, 3, 0, 2, 0, 1, 2, 3, 3, 0, 2, 3, 0, 0, 1, 2, 0, 2, 2, 2, 4, 0, 1, 0, 1, 4, 2, 2, 4, 1, 2, 3, 3, 2, 1, 0, 0, 4, 0, 3, 2, 1, 0, 1, 0, 3, 4, 3, 3, 2, 4, 4, 4, 1, 1, 0, 0, 3, 2, 4, 0, 3, 4, 1, 1, 1, 2, 4, 2, 2, 3, 4, 2, 0, 4, 1, 4, 0, 2, 1, 3, 4, 0, 2, 4, 4, 0, 3, 3, 2, 3, 2, 4, 3, 1, 3, 2, 2, 1, 3, 2, 2, 1, 0, 3, 3, 0, 1, 4, 2, 1, 0, 1, 0, 4, 0, 0, 1, 1, 1, 2, 1, 3, 2, 1, 4, 0, 4, 1, 2, 4, 2, 1, 3, 2, 4, 1, 0, 4, 0, 1, 3, 1, 2, 3, 0, 2, 1, 4, 1, 1, 1, 1, 0, 3, 4, 3, 0, 0, 1, 4, 0, 4, 0, 2, 1, 4, 1, 2, 2, 4, 3, 0, 0, 4, 0, 4, 1, 4, 3, 4, 0, 1, 1, 1, 0, 3, 0, 3, 2, 2, 3, 1, 2, 1, 4, 3, 1, 2, 0, 3, 1, 1, 3, 3, 1, 3, 1, 3, 1, 3, 0, 2, 1, 0, 1, 1, 4, 0, 4, 0, 4, 3, 2, 1, 2, 1, 4, 2, 0, 1, 3, 4, 1, 2, 2, 0, 2, 4, 0, 4, 2, 3, 0, 2, 2, 1, 2, 1, 0, 1, 3, 2, 2, 4, 2, 3, 1, 0, 2, 1, 0, 4, 3, 1, 1, 0, 0, 4, 1, 1, 4, 2, 4, 2, 1, 2, 4, 2, 4, 0, 3, 4, 4, 3, 2, 1, 0, 0, 2, 1, 0, 3, 4, 0, 1, 0, 1, 0, 1, 0, 2, 3, 0, 1, 1, 0, 4, 1, 2, 3, 3, 0, 0, 4, 4, 3, 0, 4, 4, 4, 2] pubkeycol977 = [0, 0, 3, 2, 1, 3, 2, 3, 1, 1, 1, 2, 3, 0, 0, 2, 2, 3, 0, 0, 3, 1, 2, 3, 3, 3, 4, 3, 3, 1, 4, 3, 4, 3, 4, 1, 2, 3, 0, 4, 4, 4, 1, 3, 4, 1, 1, 2, 3, 2, 2, 2, 4, 1, 4, 2, 3, 0, 0, 3, 4, 0, 1, 2, 3, 3, 0, 3, 3, 4, 2, 0, 2, 3, 3, 1, 4, 2, 3, 1, 3, 1, 4, 1, 2, 0, 4, 4, 0, 0, 4, 4, 1, 2, 2, 2, 4, 0, 1, 4, 2, 3, 0, 1, 4, 2, 1, 3, 2, 3, 0, 2, 3, 3, 2, 0, 1, 2, 0, 4, 4, 2, 2, 1, 2, 3, 3, 3, 0, 4, 2, 4, 1, 4, 4, 0, 3, 4, 2, 4, 0, 3, 2, 1, 0, 4, 3, 0, 4, 2, 0, 0, 4, 2, 1, 2, 3, 2, 0, 3, 4, 2, 2, 2, 4, 2, 1, 1, 0, 2, 3, 0, 0, 0, 3, 3, 3, 1, 2, 0, 0, 4, 3, 4, 4, 3, 1, 3, 1, 4, 0, 1, 3, 2, 2, 2, 4, 1, 0, 3, 0, 4, 4, 0, 1, 0, 3, 2, 0, 4, 2, 0, 1, 2, 3, 4, 0, 4, 2, 2, 0, 2, 0, 1, 2, 2, 4, 4, 4, 4, 3, 1, 1, 4, 3, 4, 2, 2, 1, 0, 2, 0, 3, 4, 1, 3, 2, 1, 3, 3, 0, 2, 3, 4, 1, 2, 1, 1, 3, 4, 0, 3, 1, 2, 0, 1, 4, 2, 4, 4, 2, 1, 4, 4, 2, 4, 2, 0, 0, 4, 3, 0, 1, 1, 0, 2, 2, 0, 0, 3, 1, 3, 2, 4, 0, 2, 2, 1, 2, 0, 0, 2, 4, 1, 4, 1, 3, 4, 3, 0, 0, 4, 3, 2, 3, 2, 0, 4, 1, 4, 3, 2, 0, 4, 2, 4, 3, 0, 3, 0, 3, 3, 1, 1, 4, 0, 4, 4, 0, 1, 4, 4, 4, 1, 3, 4, 2, 1, 1, 4, 3, 1, 0, 2, 2, 4, 0, 2, 0, 1, 1, 0, 4, 3, 4, 0, 2, 4, 1, 2, 1, 2, 4, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 0, 3, 1, 2, 2, 3, 1, 1, 0, 0, 0, 0, 2, 0, 4, 4, 2] pubkeycol978 = [4, 0, 1, 1, 2, 1, 1, 0, 3, 2, 1, 3, 2, 0, 2, 3, 1, 4, 0, 4, 0, 3, 3, 1, 0, 4, 0, 4, 2, 0, 1, 1, 0, 4, 2, 1, 0, 0, 2, 1, 0, 1, 4, 0, 4, 3, 2, 0, 2, 0, 2, 3, 3, 1, 3, 0, 0, 3, 1, 2, 3, 0, 0, 2, 2, 0, 1, 3, 4, 0, 0, 0, 1, 3, 2, 1, 4, 3, 2, 3, 1, 3, 2, 0, 2, 0, 1, 0, 1, 4, 3, 1, 3, 1, 1, 1, 3, 3, 2, 4, 2, 0, 3, 1, 1, 4, 0, 2, 3, 4, 4, 1, 4, 1, 1, 4, 4, 3, 2, 0, 2, 0, 3, 0, 4, 1, 1, 2, 2, 0, 4, 1, 2, 2, 1, 2, 2, 4, 0, 2, 3, 2, 2, 4, 4, 1, 0, 1, 4, 3, 2, 3, 3, 4, 0, 3, 0, 2, 4, 2, 1, 0, 1, 3, 0, 0, 0, 4, 0, 3, 3, 2, 0, 1, 0, 4, 3, 0, 0, 2, 0, 0, 1, 3, 4, 4, 1, 4, 4, 0, 4, 4, 1, 2, 1, 1, 1, 3, 0, 3, 0, 3, 2, 1, 4, 0, 3, 1, 1, 0, 2, 4, 0, 0, 2, 0, 4, 2, 2, 2, 3, 0, 1, 4, 4, 0, 1, 3, 2, 4, 0, 2, 0, 0, 1, 1, 3, 0, 0, 2, 2, 4, 0, 0, 2, 1, 2, 2, 4, 4, 2, 1, 1, 3, 0, 0, 3, 0, 4, 1, 2, 4, 1, 3, 4, 3, 2, 1, 0, 4, 1, 2, 0, 3, 1, 2, 2, 2, 1, 4, 3, 0, 4, 0, 4, 0, 0, 2, 0, 0, 1, 4, 0, 2, 4, 3, 1, 4, 0, 2, 3, 2, 2, 3, 0, 0, 3, 3, 4, 2, 4, 1, 3, 4, 1, 3, 3, 4, 4, 0, 2, 1, 0, 0, 1, 4, 4, 1, 0, 0, 4, 4, 1, 2, 0, 1, 4, 0, 4, 3, 0, 3, 4, 4, 1, 3, 0, 1, 0, 0, 0, 3, 3, 1, 3, 1, 1, 3, 0, 4, 0, 2, 4, 4, 3, 4, 4, 0, 1, 2, 2, 4, 0, 0, 4, 3, 2, 1, 4, 4, 2, 3, 3, 3, 1, 3, 4, 0, 3, 1, 3, 0, 3, 0, 1, 3, 2, 4, 4, 3] pubkeycol979 = [4, 3, 3, 1, 4, 0, 2, 0, 4, 1, 2, 2, 1, 0, 1, 0, 4, 3, 3, 1, 2, 1, 4, 1, 2, 0, 0, 2, 3, 3, 4, 0, 4, 0, 2, 2, 1, 0, 1, 0, 1, 4, 1, 1, 3, 2, 1, 4, 1, 2, 1, 2, 1, 4, 1, 3, 4, 2, 0, 0, 1, 2, 4, 4, 4, 4, 3, 4, 1, 1, 0, 0, 3, 2, 0, 3, 2, 3, 4, 3, 1, 2, 1, 3, 1, 4, 2, 1, 0, 1, 3, 0, 4, 3, 1, 4, 3, 0, 2, 1, 4, 3, 4, 3, 3, 3, 3, 1, 2, 4, 0, 3, 1, 4, 0, 2, 3, 2, 0, 3, 2, 3, 1, 2, 3, 2, 2, 0, 1, 3, 4, 1, 3, 2, 0, 2, 2, 3, 0, 1, 3, 2, 3, 4, 1, 2, 3, 3, 2, 0, 1, 0, 0, 0, 4, 4, 0, 4, 4, 1, 3, 3, 1, 0, 3, 4, 1, 1, 2, 1, 0, 3, 0, 3, 3, 2, 0, 4, 4, 3, 2, 3, 3, 4, 3, 0, 4, 2, 4, 4, 3, 4, 0, 4, 4, 1, 3, 3, 1, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 4, 2, 3, 2, 4, 4, 0, 4, 0, 1, 4, 0, 0, 4, 2, 2, 3, 1, 4, 3, 4, 1, 2, 0, 0, 1, 3, 4, 4, 0, 4, 1, 4, 3, 3, 3, 2, 1, 0, 1, 3, 2, 2, 0, 0, 0, 4, 1, 3, 3, 1, 0, 0, 2, 4, 3, 3, 3, 2, 3, 0, 0, 4, 1, 2, 2, 1, 4, 1, 4, 4, 0, 1, 1, 0, 1, 1, 3, 2, 2, 3, 2, 0, 2, 0, 1, 0, 1, 0, 2, 3, 0, 2, 1, 1, 4, 2, 4, 1, 4, 4, 4, 2, 2, 3, 2, 4, 3, 1, 0, 1, 4, 4, 4, 4, 2, 1, 4, 2, 1, 1, 3, 4, 0, 2, 1, 4, 4, 0, 2, 2, 3, 1, 0, 2, 1, 0, 2, 3, 3, 4, 1, 0, 3, 1, 1, 3, 0, 2, 3, 1, 0, 3, 4, 3, 2, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 2, 1, 2, 3, 1, 2, 1, 1, 1, 4, 2, 4, 0, 3, 4, 2, 1, 4, 0] pubkeycol980 = [0, 1, 4, 0, 3, 0, 2, 3, 1, 1, 0, 1, 3, 3, 4, 4, 4, 4, 0, 0, 1, 0, 4, 0, 2, 3, 4, 3, 0, 0, 2, 2, 4, 0, 2, 2, 1, 3, 1, 1, 2, 0, 2, 0, 0, 2, 1, 3, 4, 1, 1, 3, 1, 1, 3, 3, 0, 2, 4, 1, 4, 3, 0, 3, 3, 2, 0, 3, 3, 0, 1, 4, 1, 2, 2, 4, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 4, 3, 2, 2, 0, 4, 0, 1, 2, 0, 1, 4, 1, 1, 4, 3, 1, 4, 0, 2, 0, 2, 4, 1, 1, 3, 1, 3, 4, 3, 0, 1, 2, 0, 1, 0, 2, 4, 1, 2, 2, 4, 1, 1, 4, 2, 0, 1, 0, 2, 0, 0, 4, 1, 0, 2, 4, 2, 2, 3, 4, 1, 3, 4, 4, 4, 2, 1, 0, 0, 4, 0, 2, 4, 3, 0, 3, 0, 1, 0, 2, 2, 0, 0, 4, 1, 0, 0, 3, 3, 4, 4, 2, 1, 3, 4, 4, 0, 0, 0, 1, 1, 4, 2, 0, 4, 0, 2, 0, 3, 0, 2, 4, 1, 2, 2, 0, 0, 0, 3, 1, 1, 3, 1, 4, 2, 1, 2, 3, 0, 3, 0, 4, 3, 2, 0, 3, 3, 1, 3, 0, 4, 1, 3, 2, 3, 2, 0, 1, 1, 3, 2, 0, 0, 4, 3, 0, 1, 2, 3, 4, 2, 0, 3, 4, 3, 1, 0, 0, 3, 0, 4, 1, 0, 3, 1, 3, 1, 0, 4, 0, 4, 1, 4, 2, 4, 3, 0, 1, 2, 4, 2, 1, 4, 1, 4, 4, 4, 1, 2, 4, 3, 2, 3, 1, 4, 3, 2, 2, 1, 4, 3, 1, 3, 1, 4, 2, 0, 3, 4, 0, 1, 4, 2, 1, 2, 3, 3, 2, 1, 3, 2, 0, 1, 0, 3, 3, 3, 1, 4, 1, 1, 3, 3, 3, 3, 0, 3, 3, 1, 2, 1, 2, 2, 4, 3, 2, 1, 4, 2, 4, 0, 1, 0, 1, 0, 4, 4, 2, 1, 3, 3, 1, 4, 0, 3, 1, 4, 0, 2, 3, 1, 3, 0, 2, 2, 4, 1, 2, 4, 0, 1, 0, 1, 3, 0, 4, 0, 4, 1, 4, 3, 2, 0, 3, 2, 3, 0, 1, 1, 4, 0, 3, 4] pubkeycol981 = [3, 3, 3, 0, 2, 2, 3, 0, 2, 0, 4, 3, 1, 0, 1, 3, 3, 1, 3, 3, 4, 0, 4, 1, 1, 2, 1, 0, 1, 1, 0, 4, 4, 3, 1, 0, 0, 3, 0, 4, 3, 2, 3, 2, 4, 3, 0, 2, 1, 3, 2, 4, 1, 2, 0, 1, 0, 0, 4, 2, 2, 2, 3, 2, 4, 1, 4, 3, 0, 0, 0, 4, 4, 2, 0, 1, 3, 0, 0, 2, 1, 1, 2, 1, 3, 0, 2, 1, 1, 4, 0, 1, 4, 2, 2, 0, 2, 3, 0, 1, 3, 2, 0, 3, 2, 4, 0, 2, 2, 2, 1, 3, 2, 1, 1, 0, 2, 0, 0, 2, 4, 4, 4, 0, 0, 0, 0, 3, 2, 2, 2, 4, 4, 0, 4, 2, 3, 3, 2, 0, 1, 0, 2, 1, 4, 0, 0, 3, 2, 3, 0, 3, 3, 0, 3, 1, 1, 0, 4, 3, 3, 3, 4, 0, 0, 1, 2, 1, 1, 3, 1, 1, 3, 2, 3, 4, 1, 1, 0, 3, 4, 2, 0, 2, 0, 2, 2, 1, 0, 4, 0, 0, 0, 4, 0, 4, 2, 2, 1, 3, 1, 4, 1, 2, 1, 1, 2, 1, 3, 1, 4, 1, 1, 4, 1, 1, 1, 4, 2, 1, 3, 3, 1, 4, 2, 0, 4, 0, 1, 1, 0, 4, 0, 3, 0, 2, 2, 3, 4, 0, 0, 0, 1, 2, 3, 2, 1, 4, 1, 0, 1, 0, 4, 1, 3, 1, 3, 2, 1, 3, 1, 4, 1, 0, 4, 4, 1, 1, 2, 3, 4, 4, 2, 2, 0, 3, 3, 4, 0, 1, 0, 3, 2, 1, 4, 2, 4, 2, 1, 1, 2, 4, 3, 0, 1, 4, 4, 2, 1, 2, 4, 0, 0, 2, 2, 2, 1, 1, 4, 0, 1, 2, 2, 2, 3, 2, 3, 4, 1, 0, 4, 2, 3, 1, 3, 2, 1, 2, 2, 2, 0, 2, 4, 3, 1, 4, 4, 0, 1, 3, 4, 4, 1, 0, 1, 3, 2, 4, 2, 3, 4, 2, 1, 4, 0, 3, 4, 2, 0, 4, 2, 3, 0, 2, 0, 0, 4, 4, 1, 1, 4, 2, 1, 2, 3, 4, 1, 0, 2, 0, 1, 0, 2, 3, 4, 0, 2, 1, 3, 0, 4, 4, 2, 3, 3, 4, 4, 0, 3, 0] pubkeycol982 = [2, 2, 1, 3, 0, 3, 4, 4, 1, 0, 2, 0, 1, 1, 3, 3, 1, 0, 4, 3, 4, 1, 4, 1, 0, 4, 0, 1, 0, 3, 1, 1, 2, 2, 0, 4, 2, 3, 3, 2, 2, 0, 2, 0, 2, 1, 3, 0, 2, 1, 1, 3, 1, 2, 0, 2, 4, 3, 2, 0, 3, 1, 0, 1, 4, 3, 0, 2, 4, 4, 0, 2, 2, 3, 0, 1, 4, 2, 4, 3, 4, 3, 2, 0, 0, 2, 3, 4, 2, 0, 0, 4, 2, 2, 0, 2, 4, 3, 2, 0, 0, 2, 0, 1, 3, 3, 4, 0, 4, 3, 0, 1, 4, 1, 1, 4, 4, 0, 4, 1, 3, 0, 1, 2, 0, 2, 4, 2, 0, 2, 0, 1, 1, 1, 4, 4, 4, 0, 0, 1, 0, 0, 0, 1, 3, 2, 2, 1, 0, 4, 4, 0, 0, 1, 0, 4, 3, 1, 0, 3, 3, 3, 2, 3, 0, 4, 0, 3, 1, 3, 2, 0, 3, 0, 0, 4, 4, 2, 3, 3, 4, 3, 4, 1, 2, 3, 1, 2, 0, 0, 3, 4, 1, 3, 4, 3, 1, 1, 0, 4, 2, 3, 2, 0, 3, 4, 0, 4, 1, 1, 0, 4, 3, 3, 2, 3, 2, 4, 4, 3, 4, 3, 0, 3, 4, 2, 3, 0, 4, 1, 0, 3, 0, 2, 3, 1, 2, 4, 1, 1, 2, 3, 1, 4, 4, 0, 4, 0, 4, 3, 4, 2, 3, 3, 3, 0, 0, 2, 1, 0, 2, 3, 1, 0, 4, 2, 3, 3, 3, 3, 2, 3, 0, 3, 1, 1, 0, 4, 2, 2, 2, 1, 0, 1, 1, 4, 3, 4, 1, 0, 0, 3, 3, 3, 2, 0, 4, 0, 1, 0, 3, 0, 1, 3, 1, 0, 3, 0, 4, 4, 2, 4, 1, 0, 0, 1, 2, 2, 0, 4, 2, 4, 3, 2, 1, 2, 4, 1, 0, 4, 3, 1, 1, 1, 2, 0, 0, 1, 1, 4, 1, 1, 1, 4, 1, 2, 2, 1, 1, 3, 1, 1, 4, 0, 4, 0, 3, 0, 2, 3, 1, 4, 3, 4, 3, 2, 0, 0, 1, 4, 4, 3, 2, 3, 0, 2, 2, 3, 0, 2, 2, 1, 1, 2, 2, 0, 4, 3, 2, 2, 2, 0, 2, 3, 2, 0, 1, 0, 3, 1] pubkeycol983 = [3, 1, 4, 3, 3, 0, 1, 3, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 4, 4, 3, 4, 2, 4, 0, 4, 3, 2, 0, 2, 0, 0, 3, 2, 2, 4, 0, 2, 2, 2, 4, 0, 1, 2, 1, 2, 3, 0, 4, 0, 0, 1, 0, 4, 2, 0, 2, 3, 3, 0, 1, 2, 0, 3, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 4, 3, 2, 1, 3, 2, 1, 1, 2, 4, 1, 2, 1, 4, 3, 1, 3, 1, 0, 0, 1, 0, 2, 3, 2, 4, 1, 3, 2, 2, 4, 4, 3, 4, 1, 0, 3, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 3, 3, 3, 2, 2, 0, 4, 4, 2, 1, 4, 0, 0, 3, 1, 0, 0, 4, 1, 4, 4, 4, 0, 2, 1, 1, 0, 4, 3, 1, 3, 2, 4, 4, 0, 0, 0, 0, 3, 3, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 3, 0, 4, 0, 0, 4, 0, 2, 3, 2, 1, 1, 0, 1, 4, 0, 1, 3, 3, 2, 1, 2, 3, 3, 4, 2, 1, 1, 1, 1, 4, 0, 0, 0, 4, 1, 2, 2, 2, 2, 4, 0, 2, 4, 2, 4, 0, 0, 4, 4, 0, 3, 4, 0, 3, 4, 3, 0, 0, 2, 3, 1, 3, 4, 0, 3, 1, 4, 0, 3, 2, 3, 0, 0, 0, 0, 0, 2, 3, 1, 0, 0, 3, 0, 4, 3, 4, 2, 0, 4, 3, 0, 2, 1, 2, 2, 3, 4, 4, 2, 3, 4, 0, 4, 2, 0, 3, 1, 4, 2, 4, 1, 2, 2, 4, 0, 0, 1, 0, 3, 0, 0, 2, 4, 4, 3, 2, 4, 2, 2, 2, 4, 1, 3, 2, 1, 4, 2, 1, 1, 0, 1, 2, 3, 1, 3, 4, 3, 3, 2, 4, 4, 1, 1, 4, 3, 4, 1, 1, 1, 0, 0, 4, 3, 0, 2, 3, 4, 3, 1, 4, 0, 0, 4, 0, 4, 0, 3, 4, 2, 0, 0, 0, 2, 4, 0, 0, 2, 2, 0, 2, 3, 1, 0, 3, 2, 1, 2, 0, 4, 4, 0, 4, 2, 2, 3, 4, 3, 2, 1, 0, 3, 0, 4, 2, 0, 4, 1, 1, 4, 4, 2, 1, 1, 2] pubkeycol984 = [2, 4, 4, 3, 4, 0, 3, 4, 1, 0, 0, 0, 3, 3, 3, 1, 1, 0, 2, 4, 3, 4, 1, 2, 0, 2, 4, 0, 2, 1, 4, 4, 1, 4, 2, 0, 0, 1, 1, 0, 0, 3, 0, 2, 4, 1, 2, 0, 1, 4, 0, 1, 1, 4, 2, 2, 3, 4, 1, 1, 4, 3, 0, 0, 3, 4, 1, 0, 3, 1, 2, 0, 4, 3, 1, 4, 1, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 4, 0, 0, 3, 3, 2, 0, 3, 0, 3, 2, 2, 2, 1, 4, 2, 2, 2, 4, 2, 3, 1, 2, 1, 4, 0, 1, 1, 4, 4, 3, 1, 2, 0, 4, 4, 3, 2, 1, 0, 4, 1, 1, 1, 2, 0, 3, 2, 1, 0, 0, 0, 1, 0, 4, 4, 0, 4, 3, 0, 1, 2, 3, 3, 1, 3, 0, 4, 2, 1, 2, 0, 2, 2, 3, 4, 0, 4, 0, 3, 0, 1, 3, 2, 3, 1, 1, 4, 2, 2, 2, 0, 3, 0, 1, 2, 0, 2, 2, 1, 3, 4, 3, 2, 4, 4, 3, 0, 1, 0, 3, 2, 4, 1, 0, 3, 4, 0, 4, 4, 2, 4, 0, 0, 0, 3, 4, 3, 1, 4, 0, 4, 2, 1, 3, 1, 1, 0, 2, 2, 0, 0, 3, 1, 1, 4, 4, 1, 4, 4, 2, 0, 3, 2, 4, 3, 1, 1, 1, 2, 3, 3, 4, 4, 3, 1, 2, 3, 2, 4, 2, 4, 0, 4, 1, 2, 3, 0, 1, 1, 4, 2, 3, 1, 2, 4, 0, 1, 3, 2, 1, 0, 1, 3, 0, 4, 3, 3, 4, 2, 1, 4, 1, 4, 0, 4, 1, 1, 2, 0, 1, 0, 0, 4, 4, 2, 0, 3, 2, 3, 2, 4, 4, 2, 1, 2, 1, 3, 4, 3, 4, 0, 4, 1, 0, 2, 1, 4, 1, 0, 4, 1, 2, 1, 3, 4, 0, 0, 4, 3, 4, 3, 4, 2, 0, 3, 0, 4, 2, 4, 1, 3, 1, 2, 4, 2, 1, 4, 3, 2, 3, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 3, 1, 3, 4, 2, 3, 1, 3, 1, 4, 3, 4, 2, 1, 2, 1, 4, 0, 0, 0, 1, 2, 1, 4, 1, 0, 0, 2, 1, 1] pubkeycol985 = [1, 4, 1, 4, 3, 2, 4, 2, 0, 3, 2, 2, 1, 2, 0, 1, 3, 4, 0, 2, 4, 1, 3, 4, 1, 2, 2, 0, 0, 3, 0, 4, 2, 1, 2, 3, 2, 1, 3, 4, 0, 2, 0, 1, 2, 0, 0, 3, 4, 2, 3, 2, 4, 4, 4, 3, 2, 4, 3, 0, 1, 2, 3, 2, 0, 4, 1, 1, 3, 3, 3, 3, 1, 0, 2, 3, 0, 2, 0, 1, 0, 4, 1, 1, 3, 4, 0, 0, 1, 2, 2, 0, 3, 1, 4, 4, 2, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 3, 2, 4, 1, 2, 4, 2, 4, 4, 0, 3, 4, 3, 3, 4, 4, 2, 3, 4, 1, 3, 4, 3, 2, 1, 2, 4, 4, 3, 1, 1, 4, 0, 1, 1, 4, 1, 4, 0, 2, 1, 1, 2, 2, 1, 4, 4, 2, 3, 3, 1, 4, 0, 2, 2, 2, 2, 3, 4, 1, 1, 4, 3, 4, 3, 2, 4, 4, 2, 2, 2, 2, 2, 1, 2, 0, 4, 0, 1, 0, 0, 2, 2, 1, 2, 3, 3, 4, 3, 3, 0, 0, 0, 3, 0, 3, 1, 0, 1, 4, 1, 4, 2, 3, 4, 2, 4, 3, 4, 2, 3, 3, 2, 3, 2, 1, 1, 4, 0, 4, 4, 2, 2, 3, 3, 4, 0, 4, 4, 0, 3, 0, 2, 3, 1, 0, 4, 1, 1, 2, 0, 1, 1, 0, 4, 1, 3, 1, 2, 4, 1, 3, 2, 0, 0, 1, 4, 1, 4, 2, 0, 3, 1, 2, 2, 2, 3, 2, 4, 3, 2, 3, 3, 2, 4, 1, 3, 4, 3, 1, 0, 3, 2, 3, 1, 4, 0, 3, 0, 3, 1, 4, 2, 2, 3, 0, 0, 3, 2, 0, 3, 4, 1, 4, 0, 3, 3, 2, 3, 3, 1, 0, 0, 2, 3, 3, 1, 4, 2, 3, 4, 0, 0, 2, 1, 3, 2, 2, 0, 4, 2, 4, 2, 3, 1, 4, 4, 1, 1, 4, 3, 3, 1, 4, 0, 4, 3, 1, 1, 0, 3, 2, 2, 3, 2, 1, 3, 3, 4, 1, 4, 2, 3, 3, 4, 4, 2, 4, 4, 4, 2, 3, 2, 2, 2, 3, 4, 3, 3, 4, 3, 2, 4, 4, 2, 0, 4, 4, 4, 2, 0, 4, 1] pubkeycol986 = [3, 3, 0, 4, 3, 3, 1, 3, 0, 1, 0, 4, 0, 3, 1, 0, 0, 4, 3, 1, 4, 1, 1, 4, 1, 3, 2, 3, 3, 0, 0, 2, 2, 2, 0, 0, 3, 3, 1, 4, 4, 2, 0, 3, 4, 3, 4, 1, 2, 2, 2, 1, 0, 4, 1, 0, 2, 3, 4, 0, 4, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 3, 3, 1, 2, 4, 2, 1, 3, 2, 1, 2, 3, 0, 2, 2, 0, 0, 1, 0, 0, 2, 4, 3, 1, 1, 0, 3, 2, 1, 4, 2, 4, 4, 1, 4, 2, 2, 1, 2, 3, 2, 4, 3, 1, 0, 0, 4, 0, 3, 3, 2, 0, 4, 1, 0, 1, 1, 1, 2, 2, 3, 2, 4, 0, 1, 1, 1, 4, 3, 3, 0, 4, 1, 3, 2, 1, 2, 2, 1, 3, 1, 1, 4, 0, 1, 0, 4, 1, 0, 1, 4, 3, 0, 0, 2, 1, 1, 4, 3, 1, 0, 1, 2, 0, 2, 4, 0, 2, 4, 4, 2, 3, 3, 4, 1, 0, 0, 0, 0, 2, 3, 1, 4, 4, 0, 4, 1, 1, 1, 3, 4, 1, 3, 4, 0, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 3, 4, 2, 4, 4, 0, 0, 3, 3, 3, 4, 4, 0, 4, 1, 3, 0, 0, 2, 4, 1, 3, 3, 2, 2, 1, 0, 4, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 4, 3, 1, 3, 0, 3, 2, 4, 3, 1, 2, 2, 1, 4, 1, 1, 1, 3, 2, 4, 4, 0, 2, 3, 0, 0, 2, 4, 0, 2, 2, 3, 1, 0, 1, 4, 0, 0, 0, 3, 4, 1, 2, 3, 3, 4, 0, 4, 1, 3, 1, 4, 1, 3, 1, 0, 1, 1, 0, 3, 4, 1, 1, 3, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 2, 3, 3, 3, 4, 2, 0, 3, 3, 3, 2, 4, 1, 0, 0, 1, 1, 4, 1, 2, 0, 4, 2, 2, 4, 3, 2, 0, 4, 4, 3, 1, 4, 2, 2, 4, 3, 2, 2, 2, 2, 2, 0, 3, 1, 1, 3, 4, 1, 1, 3, 0, 2, 2, 3, 1, 2, 0, 2, 4, 0, 1, 0, 3, 3, 4] pubkeycol987 = [0, 1, 0, 3, 1, 1, 1, 4, 1, 2, 1, 0, 4, 2, 4, 0, 0, 2, 2, 4, 0, 2, 2, 0, 0, 2, 1, 4, 1, 1, 2, 0, 3, 3, 4, 4, 4, 3, 3, 1, 1, 3, 2, 3, 2, 2, 3, 0, 1, 1, 2, 1, 0, 1, 4, 0, 1, 1, 4, 4, 0, 3, 2, 0, 2, 1, 3, 4, 0, 3, 3, 0, 3, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 1, 1, 1, 3, 1, 2, 0, 4, 4, 0, 0, 1, 4, 2, 4, 4, 2, 0, 2, 1, 2, 0, 4, 0, 2, 4, 1, 2, 4, 4, 2, 1, 1, 4, 3, 2, 3, 1, 4, 0, 4, 2, 2, 2, 1, 1, 3, 2, 1, 3, 4, 3, 1, 3, 3, 3, 0, 0, 1, 3, 3, 0, 3, 0, 2, 2, 3, 1, 0, 0, 4, 2, 4, 4, 0, 4, 0, 0, 4, 1, 2, 2, 1, 4, 1, 3, 3, 4, 2, 4, 4, 3, 1, 1, 1, 0, 4, 0, 1, 1, 0, 3, 1, 1, 2, 4, 3, 4, 0, 2, 0, 1, 2, 2, 2, 1, 3, 4, 2, 4, 0, 2, 4, 2, 3, 4, 2, 1, 4, 2, 1, 2, 0, 1, 1, 1, 2, 0, 3, 2, 1, 2, 1, 0, 0, 4, 2, 2, 1, 1, 1, 4, 3, 4, 2, 3, 2, 0, 2, 2, 2, 4, 0, 0, 4, 0, 0, 2, 4, 2, 2, 0, 2, 4, 3, 2, 4, 0, 0, 0, 4, 3, 2, 2, 3, 1, 0, 2, 2, 3, 2, 4, 1, 3, 2, 0, 1, 4, 0, 4, 1, 4, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 3, 3, 2, 0, 2, 3, 1, 4, 3, 4, 2, 2, 2, 3, 4, 3, 0, 1, 3, 0, 0, 3, 1, 0, 0, 4, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 3, 0, 2, 0, 4, 2, 2, 0, 2, 3, 0, 4, 1, 0, 4, 0, 1, 4, 3, 4, 4, 2, 4, 3, 3, 2, 2, 0, 3, 1, 2, 1, 4, 3, 2, 1, 0, 4, 0, 0, 0, 2, 3, 2, 2, 4, 3, 1, 2, 3, 1, 4, 1, 1, 3, 2, 0, 0, 4, 4, 2, 3, 0, 1, 4, 4, 0] pubkeycol988 = [0, 4, 0, 1, 1, 3, 1, 1, 1, 3, 1, 0, 4, 3, 3, 3, 1, 0, 0, 0, 0, 4, 1, 4, 2, 4, 3, 2, 3, 1, 1, 1, 0, 1, 0, 1, 1, 4, 3, 3, 3, 0, 3, 3, 1, 4, 1, 4, 2, 0, 3, 1, 4, 4, 4, 0, 3, 0, 0, 4, 2, 2, 2, 2, 4, 1, 4, 2, 2, 2, 0, 2, 0, 3, 0, 4, 4, 0, 1, 3, 0, 2, 3, 1, 3, 2, 0, 1, 1, 1, 2, 3, 4, 0, 1, 2, 1, 1, 3, 4, 1, 0, 2, 2, 2, 2, 0, 3, 2, 1, 4, 4, 3, 2, 1, 1, 0, 3, 1, 0, 2, 2, 3, 0, 0, 4, 4, 3, 1, 2, 4, 0, 4, 1, 1, 2, 0, 3, 1, 1, 2, 1, 3, 4, 1, 1, 3, 3, 0, 4, 0, 3, 1, 4, 0, 3, 1, 2, 1, 4, 3, 1, 0, 4, 4, 3, 2, 4, 1, 2, 4, 4, 1, 2, 3, 2, 0, 3, 4, 4, 4, 1, 3, 1, 2, 4, 2, 0, 2, 3, 4, 3, 2, 1, 3, 1, 4, 0, 1, 1, 0, 1, 3, 3, 0, 2, 4, 0, 2, 4, 0, 3, 4, 0, 3, 2, 2, 0, 4, 2, 1, 3, 1, 2, 1, 2, 4, 3, 4, 3, 0, 4, 1, 4, 0, 0, 3, 2, 1, 3, 3, 2, 0, 0, 3, 4, 0, 2, 3, 0, 0, 1, 1, 4, 3, 3, 2, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 3, 0, 4, 0, 1, 2, 1, 3, 1, 3, 4, 4, 1, 0, 3, 2, 4, 1, 3, 2, 2, 1, 0, 3, 2, 3, 3, 1, 2, 2, 1, 0, 3, 3, 1, 2, 2, 3, 2, 1, 4, 3, 3, 0, 4, 1, 0, 2, 3, 1, 1, 1, 3, 0, 4, 4, 2, 0, 1, 4, 3, 3, 2, 1, 4, 3, 2, 1, 0, 1, 2, 0, 2, 3, 4, 0, 1, 1, 2, 1, 3, 4, 1, 1, 4, 0, 4, 0, 3, 4, 2, 3, 4, 4, 4, 4, 0, 2, 1, 3, 4, 4, 0, 1, 0, 0, 0, 0, 3, 0, 2, 0, 1, 3, 0, 4, 2, 0, 2, 1, 3, 4, 3, 0, 4, 3, 1, 2, 2, 4, 2, 2, 1] pubkeycol989 = [2, 0, 1, 3, 0, 3, 1, 3, 1, 4, 3, 4, 3, 1, 1, 1, 4, 4, 3, 4, 1, 3, 0, 3, 2, 0, 0, 3, 3, 0, 1, 2, 0, 0, 1, 0, 1, 0, 3, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 4, 0, 0, 4, 4, 1, 3, 3, 1, 3, 2, 3, 3, 4, 1, 3, 1, 0, 4, 4, 1, 0, 3, 4, 2, 4, 3, 2, 2, 2, 4, 4, 0, 3, 2, 0, 3, 0, 0, 2, 4, 4, 1, 2, 2, 3, 2, 4, 3, 4, 2, 1, 2, 0, 1, 4, 0, 0, 3, 3, 2, 3, 1, 0, 3, 0, 2, 1, 0, 4, 4, 1, 0, 1, 4, 3, 4, 0, 2, 3, 2, 3, 2, 2, 4, 0, 2, 0, 3, 2, 0, 3, 0, 2, 1, 4, 2, 1, 3, 2, 1, 1, 0, 4, 4, 3, 1, 4, 4, 1, 0, 3, 3, 2, 1, 4, 3, 0, 0, 0, 1, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 4, 0, 4, 3, 3, 2, 3, 2, 1, 4, 3, 2, 0, 4, 2, 3, 2, 0, 0, 0, 1, 1, 3, 1, 2, 2, 1, 3, 4, 0, 2, 4, 3, 3, 1, 1, 0, 2, 4, 2, 3, 2, 0, 2, 0, 1, 4, 1, 2, 0, 4, 1, 3, 3, 1, 4, 3, 1, 4, 3, 2, 4, 4, 1, 2, 2, 1, 3, 0, 3, 4, 2, 3, 3, 0, 2, 2, 1, 2, 1, 4, 2, 4, 4, 0, 4, 2, 0, 0, 0, 2, 3, 3, 3, 3, 4, 1, 3, 3, 0, 0, 2, 0, 3, 4, 0, 3, 0, 4, 0, 4, 3, 4, 4, 4, 4, 3, 4, 3, 0, 2, 4, 2, 3, 4, 3, 0, 2, 2, 3, 4, 4, 4, 1, 3, 1, 1, 0, 4, 2, 3, 2, 2, 2, 2, 1, 4, 4, 0, 1, 4, 2, 2, 4, 4, 1, 1, 0, 1, 2, 2, 2, 0, 3, 4, 3, 0, 0, 0, 3, 0, 1, 1, 3, 1, 3, 1, 0, 3, 4, 3, 2, 0, 1, 0, 0, 3, 3, 4, 2, 3, 2, 1, 3, 3, 2, 3, 1, 4, 2, 0, 0, 2, 1, 2, 2, 4, 0, 4, 0, 4, 4, 1, 1, 2, 1, 4, 1, 4, 2] pubkeycol990 = [4, 1, 4, 4, 3, 4, 2, 0, 1, 4, 3, 1, 3, 3, 2, 0, 2, 2, 2, 1, 3, 3, 1, 4, 0, 4, 3, 4, 1, 2, 0, 2, 1, 0, 3, 2, 4, 3, 0, 2, 1, 3, 1, 3, 2, 0, 0, 4, 3, 2, 1, 0, 4, 0, 0, 1, 4, 0, 1, 1, 2, 3, 1, 4, 3, 0, 2, 4, 0, 1, 3, 3, 0, 3, 3, 2, 1, 2, 1, 4, 0, 0, 3, 2, 2, 3, 2, 0, 0, 4, 2, 3, 3, 0, 4, 2, 0, 0, 3, 4, 1, 0, 0, 2, 3, 3, 3, 3, 2, 2, 3, 0, 0, 4, 4, 0, 2, 3, 4, 4, 2, 0, 1, 2, 1, 3, 0, 3, 2, 2, 0, 1, 1, 1, 1, 2, 4, 0, 0, 0, 3, 1, 4, 2, 3, 2, 4, 0, 1, 3, 0, 2, 2, 1, 4, 1, 4, 0, 1, 2, 3, 0, 1, 4, 4, 4, 1, 0, 2, 4, 1, 1, 2, 4, 1, 0, 1, 2, 3, 4, 1, 3, 4, 2, 2, 2, 1, 0, 0, 4, 3, 1, 1, 1, 2, 3, 0, 4, 4, 4, 4, 3, 4, 4, 2, 0, 3, 1, 2, 3, 0, 4, 2, 4, 3, 2, 1, 1, 1, 0, 0, 2, 1, 3, 3, 0, 0, 4, 2, 2, 1, 3, 4, 4, 1, 3, 2, 1, 4, 1, 3, 4, 4, 4, 1, 1, 4, 0, 3, 2, 2, 3, 3, 3, 3, 1, 2, 0, 0, 4, 0, 2, 4, 1, 2, 0, 1, 2, 4, 0, 4, 0, 2, 4, 1, 2, 4, 1, 2, 2, 4, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 0, 0, 3, 2, 1, 3, 1, 2, 3, 4, 3, 1, 2, 0, 4, 4, 3, 2, 1, 2, 0, 0, 3, 3, 3, 3, 2, 1, 2, 0, 1, 1, 1, 0, 0, 3, 2, 3, 2, 2, 1, 0, 3, 4, 4, 0, 2, 1, 1, 1, 2, 3, 3, 1, 4, 2, 0, 0, 1, 0, 3, 2, 2, 0, 0, 2, 1, 3, 4, 4, 0, 1, 2, 2, 0, 0, 0, 1, 4, 3, 3, 0, 0, 1, 0, 0, 0, 4, 2, 0, 2, 3, 3, 3, 2, 2, 0, 3, 1, 0, 0, 3] pubkeycol991 = [2, 3, 3, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 1, 0, 1, 3, 2, 3, 3, 1, 3, 2, 4, 2, 0, 2, 2, 1, 2, 2, 0, 2, 3, 1, 0, 1, 4, 1, 0, 1, 0, 2, 4, 2, 0, 3, 3, 2, 2, 0, 1, 4, 3, 4, 3, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 3, 3, 4, 3, 1, 1, 2, 2, 1, 0, 1, 3, 1, 3, 3, 3, 0, 0, 3, 0, 4, 4, 0, 2, 4, 2, 0, 0, 4, 0, 1, 4, 0, 4, 3, 4, 0, 1, 4, 1, 4, 0, 2, 3, 2, 3, 1, 1, 0, 4, 3, 3, 4, 3, 1, 1, 0, 4, 3, 4, 0, 0, 0, 2, 3, 3, 1, 4, 0, 0, 1, 4, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 4, 0, 4, 0, 0, 1, 2, 4, 0, 2, 0, 4, 2, 0, 4, 0, 2, 1, 4, 4, 4, 0, 1, 4, 3, 1, 2, 1, 4, 0, 0, 0, 0, 2, 0, 4, 2, 4, 1, 3, 0, 1, 4, 4, 2, 2, 1, 3, 1, 3, 2, 1, 2, 0, 4, 4, 2, 3, 3, 2, 0, 1, 0, 1, 0, 4, 2, 0, 3, 0, 3, 3, 1, 4, 4, 0, 4, 4, 0, 0, 3, 4, 2, 2, 0, 3, 2, 3, 1, 4, 1, 4, 3, 0, 2, 3, 4, 1, 1, 1, 4, 2, 2, 2, 2, 1, 1, 3, 1, 1, 0, 3, 1, 4, 1, 4, 2, 1, 3, 2, 3, 3, 2, 0, 3, 0, 4, 0, 3, 0, 4, 3, 4, 4, 3, 2, 0, 4, 3, 2, 0, 0, 3, 1, 1, 3, 4, 2, 1, 0, 4, 2, 3, 0, 0, 4, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 4, 3, 4, 4, 1, 1, 1, 2, 0, 0, 2, 4, 1, 1, 0, 2, 0, 3, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 3, 2, 4, 4, 3, 1, 1, 1, 3, 2, 2, 1, 0, 4, 2, 3, 3, 4, 3, 0, 4, 3, 0, 4, 0, 4, 0, 4, 3, 2, 2, 1, 3, 3, 2, 0, 3, 1, 2, 4, 0, 0] pubkeycol992 = [2, 3, 1, 0, 1, 4, 4, 3, 0, 3, 4, 4, 2, 1, 0, 4, 1, 1, 3, 4, 1, 0, 0, 3, 1, 1, 3, 4, 3, 0, 3, 0, 4, 4, 1, 2, 0, 2, 3, 4, 1, 2, 2, 0, 0, 1, 2, 4, 4, 0, 4, 1, 2, 4, 3, 3, 4, 2, 4, 1, 4, 1, 0, 1, 4, 2, 1, 2, 2, 2, 3, 0, 3, 2, 0, 3, 2, 2, 3, 4, 1, 2, 1, 2, 1, 4, 2, 1, 0, 0, 1, 1, 4, 2, 1, 2, 0, 1, 4, 3, 0, 4, 3, 0, 3, 3, 4, 1, 4, 0, 0, 2, 3, 1, 3, 2, 0, 3, 2, 0, 2, 0, 3, 4, 3, 1, 3, 0, 4, 4, 2, 3, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 4, 0, 1, 2, 4, 1, 4, 2, 3, 2, 0, 1, 1, 0, 3, 1, 1, 0, 0, 1, 2, 0, 3, 0, 2, 2, 1, 4, 0, 2, 2, 2, 3, 4, 3, 3, 4, 3, 4, 3, 1, 3, 4, 2, 1, 3, 3, 4, 1, 2, 2, 4, 3, 2, 1, 2, 0, 3, 1, 0, 2, 3, 2, 2, 2, 0, 0, 4, 3, 1, 0, 4, 0, 3, 1, 0, 0, 3, 2, 4, 2, 0, 4, 4, 0, 4, 2, 0, 0, 0, 0, 4, 1, 1, 2, 4, 1, 0, 1, 4, 4, 2, 2, 1, 2, 1, 2, 4, 2, 4, 4, 2, 0, 4, 0, 0, 3, 1, 4, 3, 2, 0, 0, 0, 3, 3, 0, 3, 3, 2, 1, 0, 0, 2, 3, 3, 2, 2, 3, 3, 4, 0, 0, 1, 1, 2, 4, 3, 4, 3, 3, 1, 4, 4, 2, 4, 3, 0, 4, 4, 0, 4, 1, 4, 2, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 2, 4, 3, 1, 1, 2, 4, 4, 1, 1, 4, 3, 0, 1, 2, 1, 4, 1, 4, 0, 1, 4, 0, 1, 0, 2, 0, 2, 0, 0, 4, 0, 4, 3, 0, 2, 1, 1, 4, 1, 0, 1, 4, 4, 4, 1, 1, 3, 1, 3, 2, 3, 4, 3, 1, 3, 4, 2, 0, 2, 0, 1, 0, 1, 2, 3, 4, 0, 2, 0, 4, 2, 4, 1, 1, 0, 2, 0, 3, 1, 2, 0, 2] pubkeycol993 = [2, 0, 4, 3, 4, 0, 1, 0, 3, 4, 1, 4, 4, 3, 3, 4, 0, 2, 3, 2, 2, 3, 0, 4, 4, 2, 3, 0, 1, 2, 2, 2, 0, 3, 4, 3, 2, 4, 2, 0, 3, 0, 0, 1, 3, 2, 3, 3, 3, 1, 4, 1, 2, 0, 1, 1, 4, 2, 0, 1, 3, 1, 0, 1, 4, 0, 1, 2, 3, 1, 0, 4, 0, 1, 2, 1, 3, 2, 1, 4, 0, 2, 1, 0, 4, 2, 4, 1, 1, 0, 2, 3, 3, 1, 3, 4, 4, 4, 1, 1, 2, 3, 2, 4, 2, 1, 1, 4, 3, 2, 3, 3, 0, 2, 3, 0, 3, 0, 4, 4, 0, 2, 3, 2, 1, 4, 4, 1, 1, 3, 0, 3, 4, 0, 4, 0, 0, 1, 2, 2, 3, 0, 0, 2, 1, 1, 3, 3, 0, 4, 1, 4, 2, 1, 0, 2, 1, 0, 2, 4, 0, 4, 2, 0, 1, 3, 1, 1, 1, 1, 0, 1, 3, 0, 4, 0, 4, 4, 3, 2, 4, 0, 1, 2, 0, 0, 0, 1, 4, 3, 1, 3, 2, 0, 4, 3, 4, 4, 3, 3, 0, 4, 0, 3, 1, 1, 3, 1, 0, 4, 0, 1, 0, 0, 3, 0, 3, 0, 1, 2, 1, 2, 4, 3, 3, 0, 2, 4, 1, 2, 3, 0, 0, 0, 4, 3, 1, 3, 1, 1, 2, 0, 0, 3, 1, 1, 4, 4, 3, 4, 3, 4, 3, 1, 2, 1, 1, 0, 3, 2, 0, 3, 3, 3, 0, 4, 1, 4, 2, 3, 3, 2, 0, 1, 0, 1, 4, 3, 1, 2, 4, 4, 2, 0, 1, 3, 4, 1, 4, 0, 4, 3, 1, 1, 2, 1, 0, 3, 4, 2, 0, 0, 2, 0, 4, 1, 3, 0, 2, 2, 1, 4, 0, 3, 2, 1, 4, 2, 0, 2, 2, 4, 4, 4, 0, 2, 3, 1, 1, 0, 1, 3, 0, 3, 2, 1, 0, 4, 1, 2, 4, 2, 1, 3, 3, 1, 0, 3, 3, 2, 4, 2, 1, 1, 4, 1, 2, 4, 3, 2, 0, 0, 1, 3, 1, 3, 0, 2, 2, 2, 0, 0, 0, 1, 3, 1, 2, 4, 3, 2, 2, 3, 0, 2, 3, 3, 4, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 3] pubkeycol994 = [4, 0, 1, 2, 3, 4, 1, 1, 4, 4, 3, 2, 2, 3, 0, 1, 4, 0, 1, 1, 3, 2, 1, 3, 2, 4, 1, 0, 3, 2, 3, 0, 3, 3, 1, 0, 2, 0, 4, 1, 3, 0, 4, 3, 3, 4, 0, 4, 3, 2, 1, 0, 4, 0, 0, 4, 1, 2, 4, 3, 1, 0, 4, 0, 3, 2, 1, 3, 1, 2, 0, 1, 2, 2, 0, 2, 2, 3, 0, 1, 0, 0, 3, 4, 0, 2, 3, 4, 4, 3, 2, 1, 4, 0, 0, 4, 4, 2, 2, 3, 2, 3, 0, 2, 3, 3, 3, 3, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 4, 3, 3, 0, 2, 0, 3, 2, 4, 4, 0, 4, 4, 2, 3, 1, 2, 4, 4, 4, 3, 1, 2, 0, 3, 2, 1, 4, 3, 4, 0, 1, 0, 0, 4, 3, 4, 3, 0, 2, 1, 1, 4, 2, 0, 0, 1, 4, 0, 1, 2, 4, 4, 4, 2, 0, 0, 0, 4, 3, 4, 3, 3, 0, 2, 2, 2, 1, 3, 2, 1, 1, 2, 3, 2, 0, 4, 4, 3, 1, 2, 0, 0, 2, 0, 3, 2, 3, 4, 4, 0, 2, 4, 1, 4, 0, 2, 4, 1, 3, 3, 0, 4, 2, 3, 3, 1, 0, 3, 0, 0, 4, 4, 1, 3, 1, 0, 2, 1, 1, 1, 1, 0, 2, 4, 3, 1, 2, 3, 3, 4, 3, 3, 1, 4, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 0, 1, 4, 2, 4, 3, 3, 2, 1, 0, 3, 3, 1, 0, 2, 3, 2, 3, 1, 0, 1, 1, 3, 0, 0, 4, 1, 3, 0, 4, 4, 3, 2, 2, 3, 1, 3, 4, 1, 1, 2, 2, 0, 3, 2, 4, 4, 2, 4, 1, 0, 3, 4, 0, 2, 2, 3, 2, 1, 0, 2, 0, 4, 2, 2, 2, 1, 0, 1, 0, 3, 0, 1, 0, 2, 1, 2, 4, 4, 1, 2, 0, 4, 0, 0, 2, 0, 2, 2, 0, 3, 3, 1, 4, 0, 0, 4, 1, 0, 0, 4, 0, 2, 0, 4, 4, 0, 3, 0, 2, 2, 3, 3, 4, 4, 3, 2, 3, 0, 2, 1, 1, 0, 0, 3, 0, 2, 3, 4, 2, 0, 3, 2, 3, 2] pubkeycol995 = [4, 4, 2, 0, 2, 3, 0, 3, 1, 0, 2, 0, 3, 3, 1, 4, 2, 2, 1, 2, 2, 3, 4, 2, 1, 0, 1, 3, 2, 2, 2, 2, 4, 3, 4, 1, 1, 3, 0, 4, 1, 2, 0, 1, 4, 3, 2, 2, 2, 3, 2, 2, 4, 3, 3, 0, 1, 1, 3, 2, 1, 4, 3, 2, 0, 2, 0, 0, 2, 1, 0, 4, 2, 0, 0, 4, 2, 2, 4, 1, 2, 2, 3, 3, 1, 1, 4, 1, 2, 2, 0, 0, 4, 4, 1, 3, 3, 1, 3, 2, 2, 1, 0, 4, 2, 4, 0, 1, 2, 1, 0, 2, 3, 3, 0, 2, 0, 4, 4, 0, 3, 2, 0, 2, 2, 4, 2, 2, 2, 3, 4, 3, 3, 0, 4, 4, 3, 4, 3, 4, 4, 3, 2, 2, 3, 2, 3, 2, 0, 1, 1, 4, 4, 2, 0, 2, 3, 1, 0, 1, 2, 3, 2, 2, 3, 0, 3, 3, 4, 3, 1, 1, 4, 4, 4, 0, 3, 3, 1, 1, 1, 4, 0, 4, 2, 3, 0, 0, 0, 0, 4, 1, 3, 1, 0, 3, 0, 0, 1, 3, 0, 3, 0, 2, 4, 4, 0, 3, 2, 4, 2, 1, 4, 3, 4, 0, 1, 1, 4, 4, 2, 1, 3, 3, 1, 2, 2, 2, 2, 0, 2, 2, 3, 2, 0, 1, 2, 2, 4, 0, 1, 3, 4, 4, 3, 0, 2, 3, 4, 3, 1, 0, 4, 1, 4, 4, 2, 4, 4, 1, 2, 3, 4, 0, 0, 3, 2, 1, 3, 4, 3, 0, 0, 3, 3, 3, 3, 4, 0, 3, 0, 2, 2, 0, 2, 2, 4, 3, 3, 0, 4, 3, 2, 0, 3, 3, 4, 2, 4, 0, 0, 2, 3, 1, 1, 4, 4, 0, 2, 1, 0, 2, 3, 1, 2, 3, 2, 4, 1, 0, 1, 1, 3, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 3, 1, 2, 0, 4, 1, 0, 3, 1, 3, 1, 0, 2, 4, 2, 4, 4, 0, 2, 3, 4, 0, 3, 3, 4, 4, 4, 2, 3, 2, 0, 0, 2, 0, 3, 2, 2, 4, 2, 1, 2, 3, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 4, 4, 3, 4, 4, 3, 2, 0] pubkeycol996 = [0, 1, 0, 3, 0, 4, 3, 4, 0, 3, 4, 0, 2, 3, 2, 4, 0, 4, 2, 3, 3, 0, 2, 1, 0, 2, 4, 2, 1, 2, 1, 1, 0, 2, 2, 4, 1, 4, 2, 4, 1, 3, 4, 1, 4, 4, 0, 0, 0, 1, 0, 1, 3, 0, 2, 0, 1, 2, 3, 0, 4, 4, 1, 4, 2, 3, 4, 2, 0, 1, 2, 1, 4, 3, 4, 3, 0, 3, 2, 3, 0, 3, 3, 2, 0, 3, 2, 2, 4, 0, 4, 0, 2, 2, 1, 0, 0, 4, 2, 4, 2, 2, 2, 2, 3, 0, 3, 4, 2, 3, 3, 4, 4, 1, 4, 0, 3, 0, 2, 3, 0, 1, 2, 2, 1, 2, 0, 1, 3, 3, 1, 1, 4, 3, 3, 4, 0, 4, 0, 1, 2, 1, 1, 2, 3, 0, 3, 3, 0, 0, 0, 2, 1, 4, 0, 0, 3, 3, 0, 2, 2, 1, 3, 3, 0, 3, 2, 3, 4, 1, 3, 1, 4, 4, 0, 0, 3, 3, 0, 2, 4, 0, 1, 3, 3, 1, 3, 1, 4, 1, 1, 0, 2, 0, 0, 4, 3, 0, 3, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 3, 4, 4, 3, 0, 2, 3, 1, 3, 3, 2, 4, 1, 1, 4, 4, 1, 0, 3, 0, 2, 4, 2, 1, 0, 1, 1, 1, 0, 3, 4, 1, 2, 1, 4, 1, 1, 0, 4, 0, 2, 3, 0, 3, 2, 3, 3, 0, 1, 4, 4, 0, 1, 2, 3, 0, 2, 1, 3, 2, 0, 3, 0, 4, 0, 3, 2, 0, 1, 3, 0, 1, 2, 3, 4, 0, 2, 0, 0, 1, 1, 2, 4, 2, 3, 3, 3, 2, 2, 1, 4, 2, 4, 4, 1, 1, 3, 2, 0, 3, 3, 2, 1, 2, 4, 4, 0, 0, 1, 3, 2, 2, 3, 1, 0, 4, 0, 0, 0, 0, 4, 2, 3, 0, 3, 0, 0, 1, 3, 1, 4, 0, 3, 4, 0, 3, 2, 2, 2, 3, 1, 3, 4, 1, 0, 3, 2, 2, 0, 3, 2, 3, 1, 4, 0, 3, 0, 0, 0, 1, 3, 2, 3, 2, 2, 0, 2, 0, 2, 1, 4, 4, 3, 1, 4, 0, 1, 4, 1, 4, 4, 1, 4] pubkeycol997 = [3, 1, 2, 0, 2, 0, 2, 3, 4, 2, 3, 3, 2, 3, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 4, 3, 3, 2, 1, 1, 3, 4, 1, 4, 3, 4, 3, 2, 1, 4, 3, 2, 0, 3, 4, 1, 1, 0, 2, 4, 4, 2, 4, 4, 3, 3, 2, 2, 2, 3, 0, 3, 1, 3, 4, 3, 4, 0, 3, 1, 0, 0, 2, 3, 2, 0, 1, 1, 1, 3, 1, 4, 2, 2, 4, 0, 4, 0, 4, 2, 0, 3, 3, 4, 0, 1, 4, 1, 0, 1, 0, 4, 1, 1, 3, 0, 3, 2, 3, 3, 3, 3, 0, 4, 1, 3, 2, 4, 3, 4, 0, 3, 2, 0, 2, 3, 1, 0, 0, 1, 0, 4, 0, 4, 0, 3, 3, 3, 0, 4, 3, 1, 3, 1, 3, 0, 3, 1, 1, 2, 0, 0, 3, 1, 3, 3, 0, 0, 0, 1, 1, 2, 0, 0, 4, 3, 3, 4, 2, 1, 3, 2, 0, 1, 0, 0, 2, 2, 0, 3, 4, 0, 1, 2, 1, 2, 1, 0, 3, 1, 1, 0, 2, 1, 4, 4, 1, 2, 1, 0, 4, 2, 2, 1, 3, 4, 2, 3, 4, 0, 1, 4, 0, 2, 4, 4, 2, 1, 4, 4, 2, 4, 1, 1, 3, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 4, 4, 4, 3, 4, 4, 0, 4, 1, 4, 1, 0, 1, 4, 4, 4, 2, 3, 4, 4, 1, 0, 3, 1, 0, 0, 0, 4, 1, 2, 0, 0, 3, 0, 3, 4, 0, 0, 1, 0, 1, 3, 4, 2, 1, 4, 3, 1, 0, 1, 1, 1, 4, 2, 1, 1, 2, 2, 3, 1, 4, 4, 3, 3, 1, 3, 2, 0, 2, 0, 2, 3, 3, 2, 4, 3, 2, 3, 3, 1, 4, 0, 4, 4, 4, 0, 3, 3, 2, 1, 2, 4, 1, 4, 1, 4, 2, 0, 3, 3, 0, 0, 2, 2, 3, 1, 1, 1, 3, 4, 1, 4, 0, 4, 1, 4, 2, 1, 2, 2, 1, 4, 3, 0, 3, 3, 3, 3, 4, 1, 0, 3, 2, 4, 1, 0, 0, 0, 2, 2, 4, 4, 1, 4, 3, 4, 1, 1, 1, 1, 1, 3, 4, 2, 2, 2, 4, 2, 2, 3, 3, 1] pubkeycol998 = [2, 0, 1, 2, 0, 2, 2, 4, 2, 4, 3, 1, 4, 1, 4, 2, 3, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 3, 0, 3, 1, 1, 1, 2, 1, 1, 2, 3, 1, 4, 4, 1, 2, 1, 0, 3, 0, 4, 3, 0, 1, 0, 0, 2, 4, 0, 2, 1, 0, 2, 0, 0, 3, 3, 4, 3, 3, 4, 2, 4, 4, 1, 4, 0, 3, 0, 0, 1, 2, 3, 2, 4, 1, 3, 2, 1, 1, 4, 3, 4, 0, 4, 4, 1, 2, 0, 2, 1, 1, 0, 2, 4, 1, 4, 1, 2, 2, 3, 0, 1, 2, 3, 4, 0, 2, 0, 3, 1, 3, 3, 2, 1, 3, 2, 3, 0, 4, 2, 1, 2, 2, 4, 4, 1, 4, 2, 0, 0, 1, 3, 4, 4, 1, 2, 3, 1, 4, 0, 0, 2, 1, 2, 1, 2, 0, 3, 3, 1, 1, 4, 4, 1, 0, 4, 4, 1, 1, 4, 0, 3, 4, 2, 4, 2, 2, 1, 4, 0, 1, 2, 2, 2, 3, 3, 2, 0, 4, 1, 4, 4, 2, 2, 1, 2, 0, 3, 3, 3, 1, 1, 3, 0, 2, 2, 3, 3, 1, 2, 2, 0, 3, 1, 0, 3, 4, 4, 4, 0, 2, 3, 0, 2, 0, 4, 2, 4, 2, 3, 1, 4, 2, 3, 4, 0, 2, 3, 0, 1, 2, 1, 1, 4, 1, 3, 0, 1, 1, 2, 2, 0, 2, 3, 0, 4, 3, 3, 0, 4, 4, 1, 0, 0, 3, 2, 3, 2, 1, 4, 2, 3, 4, 2, 2, 0, 3, 1, 4, 2, 1, 2, 1, 1, 0, 2, 1, 0, 3, 2, 3, 4, 1, 3, 1, 2, 2, 4, 0, 4, 3, 0, 3, 1, 4, 0, 4, 3, 2, 0, 2, 0, 1, 3, 4, 0, 1, 1, 1, 4, 0, 1, 1, 4, 2, 1, 1, 3, 3, 4, 0, 1, 4, 4, 0, 3, 2, 0, 4, 1, 4, 0, 2, 3, 3, 0, 1, 0, 4, 3, 0, 0, 2, 2, 1, 1, 3, 4, 2, 4, 1, 3, 3, 3, 3, 3, 3, 2, 3, 1, 2, 0, 1, 3, 3, 4, 1, 2, 3, 1, 1, 1, 1, 1, 0, 3, 3, 3, 4, 3, 2, 0, 0, 3, 3, 3, 3, 1, 3, 2, 2, 2] pubkeycol999 = [0, 2, 0, 4, 2, 2, 3, 1, 4, 4, 4, 0, 1, 3, 3, 2, 1, 0, 2, 0, 4, 1, 3, 3, 0, 0, 2, 2, 3, 2, 1, 4, 3, 2, 4, 1, 0, 0, 1, 2, 3, 3, 4, 0, 4, 1, 0, 3, 4, 0, 2, 4, 1, 1, 4, 3, 3, 4, 1, 3, 1, 4, 4, 4, 3, 4, 0, 2, 2, 4, 2, 4, 3, 1, 0, 4, 2, 0, 2, 0, 0, 1, 1, 2, 2, 3, 3, 4, 0, 0, 2, 2, 2, 4, 3, 1, 2, 2, 0, 1, 1, 1, 1, 4, 2, 4, 4, 1, 3, 2, 4, 2, 4, 2, 1, 3, 2, 2, 1, 2, 0, 3, 3, 1, 2, 1, 2, 2, 3, 4, 3, 1, 4, 0, 0, 0, 1, 0, 1, 3, 0, 4, 2, 3, 4, 0, 0, 4, 1, 0, 4, 0, 0, 2, 3, 4, 4, 1, 4, 2, 2, 4, 4, 4, 0, 1, 1, 1, 3, 3, 0, 3, 2, 4, 3, 2, 3, 3, 0, 1, 0, 1, 2, 3, 1, 3, 3, 2, 2, 3, 1, 1, 0, 2, 2, 4, 1, 2, 2, 1, 4, 1, 3, 4, 4, 2, 1, 3, 0, 3, 4, 3, 2, 4, 3, 4, 3, 0, 0, 4, 0, 0, 1, 2, 4, 2, 4, 1, 0, 0, 3, 0, 1, 4, 2, 2, 2, 3, 3, 1, 3, 0, 4, 2, 4, 2, 2, 2, 2, 1, 2, 2, 0, 3, 2, 0, 2, 4, 1, 3, 0, 4, 0, 4, 3, 4, 0, 2, 0, 4, 0, 4, 3, 0, 1, 1, 3, 4, 4, 3, 4, 0, 0, 0, 2, 1, 0, 3, 1, 2, 2, 0, 2, 0, 1, 3, 4, 1, 3, 1, 1, 4, 0, 1, 0, 0, 0, 4, 3, 3, 3, 1, 4, 4, 0, 3, 4, 0, 4, 2, 0, 1, 2, 2, 2, 3, 4, 1, 3, 2, 4, 1, 3, 0, 2, 3, 1, 0, 2, 3, 3, 3, 2, 3, 3, 0, 0, 3, 3, 2, 0, 3, 2, 0, 0, 4, 1, 0, 4, 1, 3, 4, 1, 0, 3, 3, 3, 3, 4, 2, 1, 4, 0, 1, 2, 0, 1, 4, 2, 2, 3, 2, 0, 3, 0, 4, 2, 4, 3, 2, 4, 1, 4, 2, 0, 2, 0, 0, 3, 2] pubkeycol1000 = [1, 2, 2, 1, 1, 4, 0, 0, 0, 3, 0, 4, 3, 4, 0, 0, 3, 4, 3, 1, 0, 4, 4, 0, 2, 4, 3, 4, 3, 1, 2, 2, 2, 2, 3, 1, 3, 3, 0, 3, 0, 0, 0, 1, 4, 3, 4, 4, 4, 2, 1, 1, 0, 3, 3, 4, 3, 0, 0, 2, 2, 3, 2, 4, 1, 2, 0, 0, 1, 1, 4, 2, 2, 2, 0, 3, 0, 0, 2, 3, 2, 1, 0, 3, 3, 3, 3, 2, 0, 0, 2, 4, 2, 2, 2, 3, 4, 4, 4, 2, 0, 0, 2, 3, 4, 2, 0, 2, 2, 1, 1, 3, 1, 4, 4, 1, 4, 1, 3, 2, 4, 2, 0, 1, 2, 0, 3, 4, 1, 4, 2, 3, 3, 1, 2, 1, 3, 2, 0, 1, 3, 4, 3, 0, 4, 1, 0, 3, 4, 3, 4, 2, 0, 1, 4, 4, 4, 3, 1, 0, 3, 2, 4, 1, 2, 3, 1, 1, 4, 4, 3, 4, 1, 0, 3, 3, 0, 4, 3, 1, 0, 0, 0, 3, 2, 3, 1, 1, 2, 4, 2, 0, 4, 2, 0, 4, 3, 3, 4, 3, 1, 2, 3, 4, 3, 4, 3, 1, 2, 2, 2, 0, 0, 3, 1, 3, 3, 1, 1, 4, 3, 4, 2, 1, 3, 2, 3, 4, 0, 4, 3, 1, 1, 2, 3, 2, 3, 2, 0, 2, 0, 2, 4, 0, 1, 0, 4, 0, 2, 2, 0, 2, 2, 3, 4, 4, 4, 3, 3, 0, 2, 1, 1, 4, 1, 0, 1, 0, 1, 4, 0, 3, 4, 2, 4, 3, 1, 0, 2, 2, 2, 4, 0, 3, 4, 0, 0, 1, 3, 3, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 3, 1, 2, 4, 4, 2, 4, 4, 0, 4, 0, 2, 3, 4, 1, 1, 0, 1, 3, 2, 4, 4, 2, 3, 0, 3, 3, 2, 1, 0, 0, 1, 4, 0, 3, 0, 3, 2, 3, 1, 2, 3, 4, 1, 1, 0, 2, 3, 3, 4, 2, 4, 4, 3, 1, 1, 4, 4, 3, 1, 0, 0, 4, 1, 2, 2, 2, 2, 4, 1, 2, 3, 4, 2, 0, 2, 3, 0, 2, 0, 3, 2, 0, 0, 2, 4, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3] pubkeycol1001 = [0, 3, 0, 3, 2, 2, 1, 1, 2, 4, 2, 2, 1, 3, 1, 2, 3, 4, 1, 2, 4, 0, 0, 4, 3, 2, 3, 4, 1, 1, 1, 2, 0, 1, 0, 3, 3, 0, 4, 2, 4, 0, 1, 2, 3, 4, 1, 0, 2, 1, 1, 1, 3, 1, 1, 2, 0, 3, 2, 0, 2, 2, 3, 0, 0, 1, 4, 3, 1, 4, 3, 4, 1, 0, 1, 3, 1, 1, 1, 1, 4, 1, 4, 1, 2, 2, 3, 3, 2, 2, 1, 1, 2, 3, 4, 0, 0, 1, 4, 4, 2, 4, 0, 3, 1, 0, 0, 0, 0, 2, 4, 0, 1, 0, 3, 1, 1, 0, 4, 0, 0, 2, 0, 2, 4, 1, 4, 2, 4, 4, 2, 4, 0, 2, 3, 1, 1, 0, 2, 0, 2, 3, 2, 1, 1, 0, 2, 1, 4, 0, 3, 4, 3, 2, 4, 4, 3, 1, 3, 3, 3, 0, 4, 0, 2, 1, 0, 3, 4, 0, 2, 3, 4, 2, 4, 0, 4, 2, 2, 1, 3, 4, 3, 3, 4, 1, 4, 2, 2, 0, 4, 4, 4, 3, 1, 0, 1, 2, 2, 2, 4, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 1, 4, 2, 3, 2, 3, 4, 4, 1, 0, 4, 3, 4, 2, 0, 0, 3, 4, 4, 4, 2, 2, 2, 3, 2, 1, 1, 3, 4, 1, 0, 1, 1, 3, 3, 0, 4, 2, 3, 0, 0, 4, 3, 0, 4, 4, 3, 2, 3, 2, 2, 0, 2, 4, 4, 3, 4, 1, 4, 1, 0, 4, 0, 4, 3, 2, 1, 4, 1, 3, 0, 2, 2, 4, 2, 0, 4, 4, 3, 3, 4, 0, 0, 2, 1, 0, 0, 4, 4, 1, 3, 2, 2, 0, 4, 3, 3, 2, 1, 3, 2, 0, 2, 0, 1, 1, 3, 2, 3, 1, 3, 4, 1, 0, 3, 4, 0, 3, 0, 3, 4, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 3, 2, 1, 4, 2, 3, 3, 4, 0, 2, 3, 0, 4, 2, 2, 3, 0, 3, 3, 2, 4, 2, 2, 0, 3, 4, 3, 1, 3, 2, 3, 4, 3, 0, 0, 4, 3, 4, 0, 4, 1, 0, 1, 4, 1, 0, 4, 4, 0, 0, 0, 1, 0, 4, 2, 3, 2] pubkeycol1002 = [1, 1, 4, 0, 4, 0, 4, 1, 2, 2, 3, 4, 1, 0, 0, 2, 4, 2, 4, 4, 1, 2, 3, 3, 1, 1, 4, 2, 2, 4, 3, 3, 2, 2, 3, 1, 2, 0, 4, 0, 3, 1, 1, 0, 1, 3, 1, 2, 0, 2, 4, 1, 4, 0, 2, 0, 1, 3, 4, 3, 3, 4, 1, 4, 4, 4, 4, 0, 1, 1, 3, 2, 2, 2, 0, 3, 0, 1, 0, 1, 3, 3, 4, 4, 4, 3, 1, 2, 4, 4, 4, 1, 1, 2, 4, 3, 2, 2, 2, 3, 3, 0, 0, 3, 1, 1, 2, 1, 4, 4, 3, 0, 0, 3, 2, 3, 4, 3, 2, 0, 0, 3, 3, 1, 4, 0, 1, 2, 0, 2, 3, 0, 3, 1, 2, 0, 4, 3, 4, 0, 2, 0, 4, 3, 1, 0, 1, 4, 3, 4, 4, 4, 0, 0, 0, 1, 3, 0, 4, 1, 0, 4, 3, 4, 2, 3, 3, 3, 4, 0, 3, 4, 2, 1, 2, 1, 2, 1, 0, 0, 4, 2, 1, 4, 0, 2, 1, 1, 3, 2, 3, 3, 2, 4, 2, 2, 0, 4, 4, 3, 3, 0, 2, 2, 0, 3, 3, 0, 1, 2, 4, 4, 4, 1, 3, 2, 2, 2, 3, 4, 2, 1, 4, 4, 2, 3, 0, 0, 4, 1, 3, 1, 4, 3, 2, 2, 2, 2, 0, 0, 1, 4, 2, 4, 1, 4, 1, 1, 1, 4, 3, 4, 2, 1, 2, 2, 1, 3, 0, 2, 0, 2, 4, 1, 2, 2, 1, 2, 4, 2, 3, 4, 4, 0, 1, 3, 2, 0, 3, 1, 4, 4, 4, 3, 2, 3, 0, 2, 2, 1, 2, 1, 3, 4, 0, 3, 4, 0, 3, 0, 3, 3, 3, 1, 3, 0, 1, 3, 4, 2, 1, 0, 3, 1, 2, 2, 0, 1, 3, 3, 0, 1, 3, 4, 2, 4, 1, 1, 2, 3, 3, 4, 1, 1, 0, 3, 4, 2, 4, 4, 3, 1, 3, 4, 4, 0, 1, 1, 1, 4, 3, 1, 3, 1, 4, 1, 2, 2, 4, 0, 3, 0, 4, 2, 4, 1, 1, 4, 3, 2, 3, 2, 3, 1, 3, 0, 4, 3, 2, 4, 3, 4, 0, 3, 3, 1, 2, 2, 1, 4, 1, 2, 4, 0, 3, 2, 0, 1, 3, 0] pubkeycol1003 = [0, 4, 1, 0, 1, 4, 1, 4, 4, 1, 4, 3, 0, 2, 2, 1, 1, 2, 1, 4, 3, 1, 2, 1, 0, 4, 3, 4, 0, 3, 1, 3, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 3, 1, 0, 2, 3, 1, 0, 4, 2, 2, 2, 4, 4, 1, 3, 1, 3, 2, 4, 0, 1, 0, 2, 0, 2, 3, 3, 2, 0, 2, 0, 4, 4, 4, 0, 3, 0, 2, 3, 4, 2, 4, 1, 4, 2, 2, 1, 0, 1, 1, 0, 1, 4, 3, 0, 2, 4, 2, 3, 2, 3, 3, 4, 2, 3, 3, 1, 3, 3, 2, 2, 1, 1, 3, 2, 4, 1, 2, 0, 3, 3, 0, 1, 3, 3, 2, 2, 3, 1, 1, 0, 3, 2, 4, 3, 3, 0, 2, 4, 0, 4, 4, 3, 3, 4, 2, 3, 2, 0, 3, 4, 1, 3, 0, 3, 1, 2, 3, 3, 0, 4, 0, 1, 1, 4, 3, 3, 3, 0, 0, 3, 0, 0, 1, 3, 2, 1, 4, 2, 3, 0, 0, 4, 1, 3, 0, 0, 4, 2, 1, 0, 2, 0, 4, 1, 3, 0, 2, 0, 1, 3, 4, 0, 0, 4, 0, 1, 4, 4, 4, 1, 2, 2, 4, 2, 2, 2, 3, 3, 2, 4, 3, 3, 2, 0, 0, 3, 0, 2, 2, 1, 0, 3, 0, 1, 2, 1, 0, 0, 3, 1, 3, 2, 3, 2, 2, 3, 2, 0, 4, 0, 1, 0, 2, 3, 3, 3, 4, 4, 2, 4, 1, 0, 1, 3, 1, 3, 1, 1, 3, 3, 4, 3, 3, 4, 4, 1, 2, 4, 2, 1, 3, 3, 1, 4, 1, 3, 4, 2, 0, 1, 1, 3, 1, 2, 1, 4, 4, 0, 1, 3, 3, 0, 1, 1, 4, 2, 1, 1, 3, 3, 4, 2, 4, 4, 2, 0, 2, 1, 1, 3, 4, 0, 0, 2, 3, 3, 4, 4, 1, 1, 4, 0, 3, 3, 2, 3, 2, 3, 0, 2, 0, 4, 2, 0, 3, 4, 3, 0, 2, 4, 0, 4, 4, 0, 3, 0, 2, 1, 4, 3, 2, 2, 1, 3, 3, 0, 3, 4, 0, 2, 4, 0, 1, 1, 1, 3, 1, 3, 2, 4, 1, 3, 4, 3, 2, 4, 1, 2, 4, 3, 4, 0, 3, 4, 2, 1, 3] pubkeycol1004 = [0, 0, 4, 1, 2, 2, 4, 3, 2, 2, 2, 4, 4, 2, 1, 0, 2, 4, 2, 0, 4, 1, 0, 2, 3, 0, 3, 2, 3, 3, 2, 2, 0, 1, 1, 4, 1, 4, 4, 1, 1, 3, 2, 4, 0, 1, 0, 0, 3, 4, 3, 4, 3, 4, 2, 3, 2, 2, 3, 1, 0, 3, 3, 0, 4, 3, 4, 0, 0, 1, 4, 0, 2, 3, 4, 1, 2, 0, 4, 3, 2, 4, 3, 3, 4, 1, 1, 1, 4, 3, 1, 3, 1, 2, 2, 3, 3, 2, 3, 2, 3, 3, 4, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 4, 1, 3, 4, 3, 2, 2, 3, 4, 1, 1, 4, 2, 4, 0, 2, 4, 2, 1, 2, 3, 4, 0, 3, 0, 3, 2, 1, 0, 4, 3, 1, 3, 1, 2, 2, 1, 2, 1, 3, 2, 3, 0, 3, 1, 4, 0, 4, 0, 3, 2, 0, 3, 4, 1, 0, 4, 4, 2, 1, 3, 0, 0, 2, 2, 2, 3, 0, 4, 1, 2, 2, 4, 0, 4, 2, 1, 2, 0, 3, 3, 1, 2, 3, 2, 4, 0, 4, 2, 0, 0, 1, 3, 0, 1, 3, 3, 4, 4, 2, 4, 4, 2, 1, 4, 0, 4, 3, 2, 4, 1, 3, 1, 4, 0, 2, 3, 4, 2, 4, 0, 4, 4, 3, 2, 4, 0, 2, 4, 3, 3, 2, 2, 3, 4, 4, 2, 0, 4, 0, 4, 0, 0, 1, 4, 0, 0, 0, 0, 1, 3, 4, 3, 1, 2, 3, 3, 4, 1, 1, 0, 3, 3, 2, 4, 0, 0, 0, 4, 0, 2, 4, 2, 2, 3, 0, 0, 2, 0, 0, 4, 2, 3, 3, 4, 2, 0, 4, 4, 0, 2, 0, 2, 4, 1, 4, 3, 4, 0, 3, 0, 4, 3, 3, 1, 2, 2, 2, 3, 1, 1, 4, 0, 3, 4, 0, 1, 3, 3, 4, 3, 2, 2, 4, 2, 1, 3, 2, 1, 1, 1, 2, 0, 0, 3, 2, 4, 4, 0, 3, 3, 3, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 4, 2, 1, 3, 0, 0, 4, 1, 2, 3, 1, 2, 0, 2, 3, 2, 4, 1, 3, 4, 1, 2, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 4, 2, 3] pubkeycol1005 = [2, 2, 0, 2, 2, 1, 0, 3, 1, 4, 1, 4, 1, 1, 1, 3, 2, 2, 2, 3, 4, 4, 1, 2, 3, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 3, 2, 2, 3, 2, 0, 0, 2, 3, 2, 3, 3, 2, 3, 3, 3, 4, 1, 1, 3, 1, 1, 3, 3, 2, 0, 2, 0, 2, 0, 1, 0, 1, 3, 3, 2, 1, 0, 1, 3, 1, 0, 2, 1, 3, 4, 3, 0, 0, 1, 2, 2, 0, 1, 2, 3, 2, 3, 1, 4, 3, 4, 4, 0, 4, 3, 2, 2, 3, 1, 2, 2, 4, 4, 1, 3, 3, 1, 0, 3, 2, 0, 3, 3, 1, 3, 0, 2, 1, 4, 4, 4, 0, 2, 1, 4, 2, 4, 4, 2, 2, 1, 4, 2, 3, 1, 3, 2, 1, 0, 0, 3, 4, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 3, 3, 2, 1, 2, 0, 0, 4, 4, 1, 2, 4, 1, 3, 3, 1, 4, 1, 0, 2, 0, 4, 0, 2, 3, 2, 4, 0, 2, 3, 0, 2, 0, 2, 4, 4, 2, 4, 0, 3, 0, 4, 0, 3, 3, 0, 3, 4, 1, 1, 0, 3, 1, 4, 4, 0, 4, 4, 2, 0, 4, 3, 3, 0, 3, 2, 4, 1, 1, 3, 4, 4, 3, 2, 4, 3, 4, 3, 0, 4, 0, 2, 4, 4, 0, 0, 0, 1, 2, 1, 4, 0, 2, 1, 3, 4, 3, 3, 2, 2, 4, 4, 4, 4, 2, 2, 4, 4, 2, 4, 4, 1, 3, 3, 3, 2, 3, 1, 3, 4, 3, 3, 2, 4, 1, 2, 3, 4, 1, 4, 3, 2, 3, 0, 0, 1, 4, 1, 2, 4, 2, 4, 4, 0, 1, 4, 0, 2, 1, 4, 1, 1, 4, 1, 3, 1, 1, 3, 3, 3, 1, 3, 1, 4, 2, 2, 2, 2, 4, 3, 2, 3, 0, 0, 0, 4, 2, 3, 4, 2, 2, 4, 1, 0, 4, 2, 1, 3, 3, 0, 4, 3, 3, 0, 3, 0, 1, 1, 3, 1, 2, 2, 4, 4, 1, 0, 1, 2, 1, 2, 2, 1, 3, 4, 1, 0, 2, 1, 0, 4, 3, 1, 2, 0, 1, 3, 0, 1, 3, 2, 3, 3, 1, 3] pubkeycol1006 = [1, 4, 1, 4, 4, 4, 2, 3, 1, 1, 4, 0, 2, 0, 0, 2, 1, 0, 4, 0, 2, 2, 4, 0, 2, 0, 1, 3, 1, 1, 1, 4, 2, 0, 4, 0, 1, 3, 2, 2, 1, 1, 3, 0, 3, 0, 0, 3, 3, 0, 0, 4, 3, 0, 3, 0, 3, 1, 1, 2, 2, 2, 1, 4, 3, 1, 2, 0, 0, 0, 4, 2, 0, 1, 3, 3, 4, 2, 2, 4, 1, 0, 4, 4, 3, 1, 1, 0, 4, 1, 0, 2, 4, 2, 4, 2, 0, 4, 1, 2, 4, 2, 0, 3, 1, 2, 1, 2, 4, 0, 0, 1, 0, 1, 3, 1, 4, 0, 2, 3, 2, 1, 0, 2, 4, 0, 1, 2, 1, 4, 0, 4, 0, 1, 1, 4, 0, 4, 0, 3, 1, 0, 1, 2, 1, 1, 3, 0, 0, 0, 2, 4, 1, 4, 0, 0, 3, 2, 4, 3, 1, 3, 4, 0, 1, 1, 4, 3, 0, 1, 0, 2, 0, 1, 1, 3, 2, 0, 0, 0, 1, 0, 4, 0, 2, 4, 4, 4, 2, 3, 1, 1, 1, 4, 0, 1, 0, 0, 4, 3, 4, 1, 2, 3, 3, 3, 2, 1, 2, 0, 4, 2, 1, 0, 2, 4, 3, 4, 3, 3, 3, 3, 0, 3, 2, 3, 0, 1, 2, 0, 4, 2, 4, 1, 4, 1, 0, 1, 4, 3, 2, 2, 1, 0, 0, 4, 1, 0, 1, 3, 4, 2, 4, 3, 0, 2, 1, 2, 3, 0, 2, 4, 3, 0, 3, 2, 0, 3, 3, 2, 4, 4, 3, 1, 1, 4, 2, 3, 3, 2, 2, 4, 3, 0, 3, 4, 3, 3, 4, 2, 2, 4, 4, 1, 0, 3, 3, 2, 2, 0, 1, 0, 3, 1, 3, 2, 0, 2, 3, 0, 0, 3, 4, 2, 4, 2, 2, 4, 0, 4, 1, 3, 4, 0, 3, 2, 3, 2, 0, 3, 3, 3, 1, 0, 3, 2, 2, 0, 4, 2, 0, 3, 4, 3, 1, 2, 2, 4, 1, 0, 4, 0, 4, 1, 3, 0, 3, 0, 1, 1, 0, 1, 4, 2, 1, 0, 0, 4, 1, 0, 2, 0, 1, 1, 3, 0, 0, 4, 0, 3, 4, 4, 4, 0, 4, 1, 3, 2, 1, 0, 3, 4, 4, 0, 1, 2, 4, 2, 2, 3] pubkeycol1007 = [3, 4, 1, 4, 3, 0, 2, 0, 1, 0, 0, 0, 4, 0, 0, 2, 4, 0, 1, 3, 1, 4, 1, 1, 4, 2, 2, 3, 1, 1, 0, 3, 3, 1, 2, 1, 0, 0, 2, 0, 3, 1, 1, 2, 1, 3, 0, 4, 0, 3, 1, 1, 1, 1, 0, 1, 0, 0, 3, 3, 3, 2, 2, 1, 0, 0, 4, 2, 0, 4, 4, 1, 0, 1, 2, 3, 0, 1, 0, 4, 4, 1, 3, 1, 2, 4, 0, 3, 4, 4, 4, 3, 0, 1, 2, 0, 3, 4, 3, 4, 0, 2, 3, 0, 1, 1, 0, 1, 3, 3, 3, 0, 0, 3, 0, 3, 2, 0, 2, 2, 1, 0, 4, 1, 1, 2, 2, 1, 4, 4, 3, 0, 4, 1, 4, 3, 0, 0, 3, 4, 4, 0, 4, 2, 2, 4, 2, 1, 0, 3, 0, 4, 3, 4, 4, 3, 3, 2, 0, 4, 1, 4, 1, 4, 4, 1, 3, 4, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 3, 1, 4, 2, 1, 4, 3, 4, 0, 1, 0, 3, 0, 4, 2, 2, 4, 3, 1, 3, 1, 2, 0, 1, 2, 3, 2, 4, 3, 2, 1, 0, 0, 1, 0, 3, 2, 0, 0, 3, 2, 2, 2, 1, 4, 2, 4, 1, 4, 2, 3, 0, 3, 4, 1, 0, 2, 4, 2, 1, 1, 1, 4, 2, 0, 1, 4, 3, 0, 1, 2, 3, 1, 2, 2, 4, 1, 4, 0, 3, 0, 0, 0, 3, 1, 0, 3, 3, 1, 0, 1, 0, 1, 4, 4, 3, 3, 2, 2, 2, 4, 0, 4, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 3, 1, 0, 3, 2, 4, 0, 2, 1, 1, 4, 4, 0, 1, 3, 3, 3, 4, 1, 1, 0, 0, 0, 2, 4, 3, 4, 3, 1, 0, 3, 3, 2, 0, 1, 4, 3, 1, 2, 2, 1, 4, 4, 3, 1, 4, 3, 1, 1, 1, 3, 1, 2, 4, 0, 2, 4, 2, 2, 4, 4, 2, 2, 1, 3, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 3, 4, 3, 0, 3, 4, 1, 1, 2, 1, 3, 0, 0, 1, 4, 0, 3, 1, 2, 0, 3, 2, 3, 0, 2, 4, 0, 4, 3, 1, 0, 0] pubkeycol1008 = [1, 3, 0, 3, 2, 0, 1, 1, 2, 0, 1, 0, 3, 3, 3, 2, 2, 0, 0, 3, 4, 3, 1, 3, 4, 0, 1, 4, 4, 0, 4, 3, 2, 2, 0, 1, 0, 4, 0, 3, 1, 4, 3, 4, 3, 2, 1, 3, 4, 1, 0, 3, 3, 2, 0, 2, 1, 0, 0, 3, 1, 3, 4, 1, 2, 1, 1, 1, 4, 3, 4, 3, 0, 4, 1, 0, 1, 3, 3, 4, 1, 2, 0, 3, 4, 1, 2, 1, 1, 4, 3, 2, 3, 0, 1, 3, 3, 0, 0, 0, 1, 4, 1, 3, 4, 4, 3, 2, 1, 0, 1, 3, 2, 2, 3, 3, 4, 3, 0, 1, 3, 2, 2, 4, 3, 4, 1, 4, 3, 0, 3, 2, 2, 3, 3, 2, 4, 4, 0, 1, 4, 1, 0, 1, 2, 2, 4, 2, 3, 0, 3, 4, 3, 0, 0, 2, 2, 2, 3, 3, 4, 1, 2, 1, 0, 3, 1, 4, 4, 3, 4, 4, 1, 1, 0, 1, 3, 2, 2, 4, 4, 0, 2, 4, 1, 2, 1, 2, 3, 3, 2, 1, 0, 3, 4, 3, 4, 3, 1, 1, 4, 0, 0, 2, 4, 4, 4, 3, 0, 1, 3, 2, 0, 1, 2, 4, 1, 4, 3, 0, 4, 1, 2, 0, 4, 0, 3, 0, 1, 2, 1, 4, 0, 2, 0, 1, 4, 1, 0, 0, 0, 1, 3, 4, 0, 4, 2, 1, 1, 0, 4, 4, 4, 2, 1, 0, 1, 3, 3, 1, 0, 1, 1, 3, 1, 2, 3, 2, 3, 3, 3, 1, 4, 3, 0, 1, 0, 2, 2, 0, 4, 3, 0, 3, 3, 3, 4, 3, 4, 3, 2, 2, 3, 2, 0, 4, 0, 1, 4, 0, 4, 2, 4, 4, 0, 3, 2, 3, 2, 4, 3, 1, 2, 0, 0, 1, 3, 0, 3, 1, 2, 1, 0, 3, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 1, 4, 0, 4, 4, 0, 1, 4, 4, 4, 2, 2, 0, 3, 0, 4, 3, 0, 3, 3, 3, 4, 2, 3, 3, 0, 4, 2, 1, 4, 3, 4, 2, 4, 4, 0, 3, 1, 4, 1, 2, 3, 3, 3, 0, 2, 1, 0, 2, 4, 0, 2, 4, 2, 1, 1, 4, 4, 0, 4, 2, 0, 4, 0, 3, 4] pubkeycol1009 = [0, 0, 3, 2, 0, 3, 3, 2, 3, 1, 3, 2, 4, 2, 0, 1, 1, 0, 0, 4, 4, 1, 4, 0, 3, 0, 0, 3, 1, 0, 4, 2, 0, 0, 3, 4, 3, 0, 0, 4, 3, 1, 1, 1, 1, 1, 1, 4, 3, 2, 2, 0, 0, 3, 0, 1, 3, 3, 2, 1, 4, 2, 1, 0, 3, 4, 2, 3, 3, 0, 1, 0, 4, 2, 0, 0, 1, 1, 3, 2, 0, 4, 4, 2, 0, 0, 1, 0, 4, 4, 2, 3, 3, 0, 4, 3, 0, 3, 4, 3, 1, 4, 4, 0, 2, 2, 2, 3, 2, 3, 1, 0, 1, 4, 1, 1, 3, 0, 4, 3, 4, 0, 2, 3, 1, 4, 0, 3, 2, 0, 2, 0, 2, 0, 0, 2, 3, 3, 1, 0, 3, 2, 3, 0, 4, 1, 2, 0, 0, 1, 0, 2, 3, 1, 3, 3, 1, 1, 0, 1, 3, 1, 0, 3, 3, 4, 0, 4, 4, 3, 2, 3, 1, 1, 3, 0, 4, 1, 0, 0, 1, 3, 3, 2, 0, 2, 4, 4, 3, 2, 0, 0, 1, 3, 2, 4, 3, 3, 3, 0, 4, 4, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 3, 4, 0, 1, 4, 3, 4, 0, 2, 0, 3, 4, 2, 1, 3, 0, 4, 3, 4, 0, 3, 3, 3, 0, 2, 0, 3, 0, 4, 4, 1, 4, 2, 4, 0, 0, 2, 4, 4, 0, 3, 1, 3, 1, 3, 3, 4, 0, 0, 2, 4, 2, 1, 3, 0, 1, 3, 4, 0, 3, 4, 1, 3, 2, 0, 2, 1, 0, 3, 3, 4, 0, 1, 0, 1, 0, 0, 1, 1, 3, 1, 0, 4, 1, 3, 1, 4, 4, 2, 0, 1, 0, 1, 0, 0, 3, 0, 3, 1, 3, 2, 1, 3, 2, 4, 3, 0, 3, 1, 2, 3, 3, 4, 2, 4, 4, 1, 1, 4, 1, 0, 0, 1, 1, 0, 3, 4, 2, 2, 3, 0, 3, 3, 3, 0, 3, 0, 2, 3, 2, 0, 3, 4, 1, 0, 1, 0, 3, 0, 1, 1, 3, 4, 3, 3, 3, 0, 2, 1, 2, 4, 1, 1, 2, 1, 1, 1, 0, 1, 4, 0, 4, 1, 0, 3, 1, 2, 1, 1, 0, 4, 0, 4, 3] pubkeycol1010 = [0, 2, 4, 1, 0, 1, 4, 2, 1, 0, 3, 4, 2, 1, 2, 3, 2, 3, 3, 2, 2, 3, 0, 1, 1, 0, 0, 2, 2, 4, 0, 1, 0, 1, 3, 4, 1, 3, 0, 1, 3, 3, 4, 4, 1, 3, 1, 0, 4, 2, 0, 2, 2, 3, 3, 4, 4, 0, 0, 0, 2, 4, 1, 2, 1, 0, 2, 2, 4, 4, 4, 0, 3, 3, 3, 1, 2, 2, 2, 0, 0, 1, 3, 1, 1, 4, 4, 0, 0, 1, 0, 1, 0, 3, 3, 3, 4, 3, 0, 3, 0, 1, 0, 3, 4, 0, 1, 1, 4, 0, 4, 4, 1, 4, 0, 4, 3, 1, 1, 1, 4, 0, 4, 1, 4, 1, 0, 3, 0, 1, 1, 2, 4, 4, 2, 2, 1, 3, 3, 3, 0, 1, 0, 2, 0, 3, 3, 1, 0, 2, 2, 1, 0, 0, 0, 1, 4, 0, 1, 2, 2, 4, 3, 1, 2, 3, 0, 2, 2, 1, 3, 2, 1, 1, 4, 1, 0, 1, 1, 4, 1, 4, 2, 3, 2, 0, 0, 3, 0, 0, 3, 4, 4, 2, 0, 2, 0, 3, 3, 2, 3, 3, 0, 2, 2, 0, 1, 2, 1, 3, 2, 4, 2, 3, 0, 0, 3, 0, 0, 3, 0, 1, 0, 1, 1, 3, 0, 0, 1, 1, 4, 0, 1, 3, 2, 3, 1, 1, 0, 1, 4, 0, 1, 1, 0, 2, 1, 0, 0, 0, 4, 1, 4, 3, 3, 0, 4, 0, 0, 3, 4, 0, 4, 0, 1, 2, 4, 1, 2, 3, 2, 4, 3, 4, 3, 1, 3, 1, 1, 2, 4, 2, 1, 0, 3, 1, 0, 2, 3, 4, 3, 1, 3, 4, 2, 1, 4, 1, 2, 4, 2, 0, 4, 3, 4, 3, 4, 4, 2, 1, 0, 4, 0, 1, 0, 4, 1, 4, 4, 0, 2, 1, 2, 3, 3, 4, 2, 4, 3, 4, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 4, 1, 0, 1, 4, 1, 3, 1, 1, 4, 1, 4, 4, 2, 0, 3, 3, 0, 0, 0, 0, 3, 0, 2, 3, 1, 2, 3, 0, 1, 0, 4, 4, 1, 4, 4, 0, 4, 2, 2, 1, 4, 4, 4, 1, 2, 4, 1, 4, 3, 3, 0, 2, 3, 0, 3, 0, 2, 4, 3] pubkeycol1011 = [0, 0, 4, 2, 2, 1, 0, 4, 4, 4, 2, 2, 3, 1, 4, 3, 3, 3, 0, 4, 0, 2, 2, 1, 2, 1, 4, 2, 3, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 3, 2, 4, 2, 2, 0, 0, 4, 4, 0, 2, 4, 4, 1, 1, 0, 4, 4, 1, 3, 3, 0, 0, 4, 2, 1, 0, 4, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 4, 0, 2, 0, 2, 2, 3, 0, 0, 4, 1, 2, 3, 4, 0, 2, 0, 4, 4, 0, 3, 3, 2, 1, 4, 2, 1, 3, 4, 4, 4, 0, 3, 3, 1, 1, 4, 1, 4, 3, 2, 2, 0, 0, 1, 3, 1, 2, 4, 3, 4, 4, 1, 0, 4, 0, 3, 4, 3, 0, 3, 0, 0, 4, 1, 4, 2, 1, 2, 2, 1, 3, 4, 0, 2, 3, 1, 0, 4, 0, 2, 4, 4, 1, 1, 2, 4, 1, 0, 1, 2, 2, 3, 3, 3, 3, 1, 4, 2, 1, 3, 3, 4, 3, 4, 0, 4, 1, 1, 3, 3, 0, 0, 2, 2, 1, 2, 2, 3, 0, 1, 4, 2, 3, 2, 1, 1, 4, 2, 4, 4, 2, 1, 4, 4, 3, 4, 2, 1, 3, 4, 1, 0, 2, 0, 4, 1, 4, 4, 3, 2, 4, 1, 4, 4, 3, 0, 1, 4, 1, 4, 0, 1, 3, 3, 1, 2, 2, 0, 2, 4, 0, 0, 4, 1, 1, 1, 3, 0, 0, 4, 1, 4, 3, 4, 3, 0, 2, 3, 4, 3, 2, 2, 3, 2, 2, 3, 3, 4, 2, 4, 4, 2, 2, 2, 1, 1, 3, 4, 2, 1, 0, 0, 2, 2, 0, 3, 3, 2, 0, 3, 1, 1, 4, 1, 0, 0, 4, 2, 4, 1, 4, 2, 3, 0, 2, 0, 4, 0, 2, 2, 1, 2, 2, 2, 3, 2, 2, 2, 3, 1, 2, 3, 1, 3, 3, 1, 4, 2, 2, 4, 0, 4, 1, 4, 2, 0, 1, 1, 2, 3, 3, 3, 4, 3, 1, 1, 4, 4, 1, 1, 1, 3, 2, 4, 0, 4, 4, 2, 2, 0, 3, 2, 0, 3, 1, 1, 4, 3, 3, 4, 4, 3, 1, 0, 2, 3, 0] pubkeycol1012 = [0, 1, 2, 0, 2, 1, 4, 4, 1, 4, 3, 2, 1, 2, 1, 4, 3, 4, 2, 4, 4, 0, 1, 2, 4, 2, 3, 4, 4, 0, 4, 0, 2, 0, 2, 0, 4, 4, 4, 3, 1, 2, 0, 1, 2, 4, 0, 3, 4, 2, 1, 0, 0, 0, 1, 0, 4, 1, 2, 1, 1, 1, 2, 0, 0, 0, 4, 0, 3, 0, 1, 0, 0, 0, 4, 2, 2, 2, 4, 3, 1, 3, 4, 3, 1, 0, 4, 3, 3, 3, 4, 0, 3, 2, 4, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 4, 3, 2, 0, 3, 3, 0, 2, 2, 0, 3, 3, 3, 4, 0, 0, 1, 3, 2, 2, 2, 2, 4, 3, 2, 4, 2, 4, 1, 0, 4, 2, 3, 1, 4, 3, 1, 1, 1, 0, 4, 1, 0, 1, 1, 1, 0, 3, 1, 3, 3, 2, 1, 4, 4, 1, 3, 1, 4, 1, 2, 3, 0, 1, 3, 4, 2, 1, 0, 0, 4, 4, 1, 3, 1, 3, 2, 3, 0, 4, 4, 0, 2, 0, 4, 3, 2, 3, 4, 4, 3, 2, 4, 4, 2, 0, 0, 3, 0, 0, 1, 0, 2, 1, 3, 4, 1, 0, 1, 1, 1, 3, 3, 0, 2, 4, 1, 0, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 4, 4, 4, 1, 3, 4, 0, 3, 4, 1, 1, 0, 0, 2, 0, 3, 0, 2, 0, 3, 1, 4, 2, 4, 0, 4, 3, 4, 3, 4, 4, 2, 0, 1, 1, 2, 2, 4, 0, 3, 2, 3, 4, 0, 2, 4, 2, 2, 3, 2, 3, 3, 4, 0, 0, 3, 1, 4, 4, 0, 3, 1, 2, 3, 3, 1, 2, 1, 1, 3, 2, 2, 4, 0, 0, 3, 3, 2, 1, 2, 3, 4, 4, 3, 0, 4, 4, 1, 0, 3, 1, 3, 2, 0, 0, 2, 1, 4, 0, 3, 1, 2, 0, 2, 1, 1, 3, 1, 1, 0, 1, 1, 1, 0, 2, 3, 3, 3, 1, 4, 0, 0, 4, 2, 0, 4, 0, 0, 3, 3, 3, 4, 1, 4, 1, 2, 1, 2, 2, 0, 0, 4, 3, 3, 1, 4, 1, 1, 3, 4, 2, 2, 0, 2, 3, 4, 2, 3, 0, 3, 4] pubkeycol1013 = [4, 1, 2, 1, 0, 4, 4, 1, 1, 0, 2, 2, 3, 3, 2, 1, 0, 3, 1, 2, 4, 2, 3, 3, 3, 0, 3, 1, 2, 1, 4, 3, 4, 0, 2, 3, 3, 4, 2, 3, 1, 2, 1, 0, 3, 2, 4, 4, 1, 0, 0, 1, 4, 0, 2, 0, 1, 4, 3, 3, 2, 4, 0, 0, 0, 1, 4, 0, 2, 2, 4, 4, 2, 0, 0, 2, 0, 3, 2, 0, 2, 1, 3, 4, 1, 3, 2, 0, 0, 1, 3, 2, 3, 2, 4, 3, 2, 4, 2, 2, 0, 4, 0, 3, 1, 4, 0, 4, 3, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 0, 4, 4, 2, 4, 0, 2, 1, 0, 1, 1, 0, 0, 2, 4, 3, 0, 2, 1, 0, 1, 4, 2, 0, 2, 4, 1, 1, 3, 4, 0, 3, 3, 1, 1, 1, 1, 3, 0, 4, 2, 3, 0, 4, 4, 1, 0, 0, 4, 2, 2, 4, 1, 2, 3, 4, 0, 2, 1, 1, 2, 2, 1, 2, 1, 4, 2, 1, 2, 0, 2, 1, 3, 0, 4, 1, 1, 0, 2, 2, 2, 2, 1, 2, 3, 4, 1, 0, 2, 3, 3, 0, 0, 2, 1, 0, 0, 0, 1, 3, 2, 2, 1, 4, 2, 0, 0, 3, 1, 3, 1, 1, 4, 3, 0, 2, 1, 4, 1, 2, 3, 2, 3, 4, 0, 4, 2, 0, 3, 4, 4, 3, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 3, 2, 2, 2, 0, 2, 0, 2, 0, 3, 1, 3, 2, 4, 2, 3, 3, 2, 0, 4, 0, 1, 0, 3, 4, 3, 0, 2, 2, 4, 1, 2, 3, 1, 3, 4, 4, 1, 0, 2, 4, 3, 1, 3, 0, 1, 3, 0, 0, 0, 0, 0, 4, 4, 2, 4, 4, 2, 2, 3, 4, 2, 3, 1, 1, 2, 0, 0, 4, 1, 0, 0, 3, 2, 0, 1, 1, 2, 2, 4, 1, 4, 4, 3, 2, 4, 0, 2, 0, 1, 4, 0, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 4, 0, 2, 0, 4, 3, 0, 1, 3, 0, 3, 1, 4, 1, 0, 3, 3, 3, 1, 1, 2, 3, 1, 3, 0, 4, 1, 4, 4, 4, 2] pubkeycol1014 = [0, 2, 0, 2, 2, 3, 0, 4, 1, 4, 4, 0, 4, 1, 4, 4, 3, 4, 3, 3, 3, 0, 3, 1, 1, 4, 4, 1, 4, 3, 4, 1, 3, 1, 3, 4, 2, 2, 0, 2, 0, 2, 3, 1, 4, 0, 3, 0, 3, 1, 4, 0, 2, 4, 0, 3, 3, 1, 0, 0, 4, 3, 4, 1, 4, 3, 0, 1, 1, 0, 4, 4, 4, 1, 4, 0, 4, 0, 0, 3, 1, 0, 0, 1, 3, 3, 3, 1, 4, 3, 3, 0, 3, 2, 1, 4, 4, 0, 4, 3, 1, 2, 3, 0, 4, 1, 2, 2, 3, 2, 1, 2, 3, 1, 4, 1, 0, 1, 4, 2, 4, 3, 2, 0, 0, 0, 0, 4, 3, 1, 1, 3, 4, 3, 4, 4, 2, 4, 2, 1, 0, 4, 0, 2, 4, 1, 0, 2, 0, 2, 0, 3, 4, 0, 0, 1, 0, 1, 0, 4, 4, 1, 3, 3, 0, 3, 0, 1, 1, 2, 2, 1, 3, 0, 0, 2, 4, 3, 1, 4, 1, 0, 4, 1, 0, 0, 4, 2, 1, 0, 4, 4, 4, 0, 1, 3, 1, 0, 1, 0, 2, 1, 4, 0, 0, 2, 3, 1, 2, 2, 1, 2, 2, 4, 3, 2, 0, 4, 1, 1, 0, 3, 2, 2, 2, 0, 3, 4, 2, 4, 1, 2, 0, 3, 4, 3, 2, 0, 2, 3, 2, 0, 3, 1, 3, 0, 4, 2, 0, 4, 0, 4, 2, 0, 2, 3, 1, 0, 3, 0, 0, 2, 4, 4, 1, 4, 2, 2, 1, 3, 1, 1, 3, 2, 1, 3, 4, 1, 4, 0, 0, 2, 1, 3, 1, 4, 1, 4, 1, 2, 2, 4, 3, 2, 0, 1, 1, 4, 2, 1, 3, 1, 4, 1, 0, 0, 1, 0, 4, 4, 4, 3, 2, 3, 0, 4, 4, 3, 1, 0, 2, 2, 4, 3, 0, 2, 3, 1, 1, 3, 2, 0, 1, 2, 3, 2, 2, 3, 4, 1, 4, 4, 0, 1, 2, 2, 4, 3, 1, 4, 1, 2, 1, 3, 0, 4, 2, 2, 3, 4, 3, 0, 2, 1, 0, 1, 4, 2, 4, 3, 0, 1, 0, 4, 2, 2, 2, 1, 0, 4, 1, 1, 0, 4, 1, 3, 0, 0, 2, 2, 0, 4, 0, 2, 1, 2, 0, 2, 3, 4] pubkeycol1015 = [2, 3, 3, 1, 3, 1, 4, 1, 2, 0, 4, 2, 4, 0, 2, 1, 3, 1, 3, 3, 0, 0, 4, 3, 2, 4, 2, 2, 3, 1, 1, 0, 3, 3, 4, 4, 4, 0, 3, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 3, 4, 1, 2, 1, 0, 3, 0, 1, 3, 3, 0, 3, 2, 3, 2, 0, 1, 0, 1, 2, 2, 4, 0, 2, 2, 4, 2, 3, 4, 2, 3, 4, 2, 4, 1, 0, 4, 1, 0, 1, 1, 1, 2, 3, 2, 3, 3, 1, 4, 2, 2, 3, 4, 0, 3, 0, 0, 3, 4, 2, 4, 0, 0, 4, 0, 4, 3, 0, 0, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 4, 2, 3, 4, 0, 3, 3, 3, 3, 3, 3, 0, 4, 2, 4, 0, 4, 2, 3, 0, 1, 4, 1, 0, 2, 1, 1, 4, 4, 4, 3, 1, 1, 4, 4, 1, 4, 1, 1, 1, 3, 4, 0, 1, 0, 0, 0, 1, 4, 4, 1, 1, 2, 1, 0, 0, 4, 3, 2, 4, 3, 2, 0, 2, 0, 1, 3, 1, 3, 1, 3, 4, 0, 1, 0, 0, 4, 4, 0, 0, 4, 0, 4, 1, 3, 3, 3, 1, 3, 3, 2, 4, 2, 0, 2, 2, 2, 0, 3, 2, 2, 3, 0, 1, 2, 3, 4, 0, 0, 0, 1, 4, 3, 1, 0, 4, 2, 0, 1, 4, 2, 2, 1, 0, 4, 3, 0, 0, 3, 0, 2, 0, 2, 1, 3, 0, 1, 0, 4, 2, 1, 1, 0, 4, 4, 3, 1, 4, 0, 3, 0, 4, 3, 3, 4, 3, 3, 1, 2, 1, 3, 4, 1, 1, 4, 0, 0, 1, 1, 3, 2, 4, 3, 3, 4, 1, 2, 4, 2, 1, 3, 3, 1, 1, 4, 4, 3, 4, 1, 3, 0, 3, 1, 2, 4, 2, 3, 2, 2, 2, 2, 4, 1, 2, 2, 4, 2, 4, 4, 3, 0, 0, 2, 0, 3, 2, 2, 3, 2, 4, 1, 1, 4, 1, 2, 4, 4, 0, 2, 3, 1, 1, 1, 1, 4, 1, 4, 0, 2, 4, 4, 0, 4, 2, 3, 4, 4, 4, 4, 4, 2, 0, 0, 1, 0, 0, 4, 4, 2, 0, 3, 1, 0, 0, 2, 0, 1, 1, 0, 4, 4] pubkeycol1016 = [4, 1, 3, 0, 0, 2, 0, 3, 4, 3, 1, 3, 2, 1, 4, 0, 1, 4, 4, 0, 2, 3, 3, 2, 2, 3, 1, 3, 1, 4, 4, 2, 4, 1, 0, 3, 3, 2, 0, 2, 0, 2, 4, 2, 2, 0, 2, 4, 2, 0, 4, 0, 3, 1, 4, 0, 2, 4, 3, 4, 4, 3, 3, 3, 3, 4, 3, 1, 3, 4, 4, 0, 1, 0, 3, 4, 2, 0, 3, 4, 3, 2, 3, 3, 2, 0, 2, 3, 4, 4, 0, 3, 0, 3, 0, 4, 2, 0, 3, 0, 3, 1, 0, 2, 0, 2, 3, 2, 3, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 3, 1, 2, 2, 4, 4, 1, 1, 2, 2, 0, 3, 0, 2, 4, 1, 3, 4, 2, 3, 2, 3, 3, 0, 2, 4, 3, 2, 0, 0, 0, 4, 4, 4, 1, 2, 4, 4, 4, 2, 1, 1, 0, 4, 2, 0, 0, 0, 2, 0, 3, 1, 2, 1, 2, 4, 3, 2, 0, 3, 0, 3, 4, 3, 1, 3, 0, 0, 2, 0, 3, 1, 4, 1, 3, 1, 3, 0, 2, 2, 3, 1, 4, 4, 1, 3, 3, 2, 4, 2, 1, 4, 2, 3, 4, 2, 1, 2, 0, 1, 1, 0, 3, 2, 2, 1, 2, 3, 0, 4, 2, 2, 4, 2, 4, 4, 2, 3, 3, 2, 0, 4, 4, 3, 1, 2, 3, 2, 1, 0, 3, 1, 3, 0, 1, 4, 3, 0, 4, 1, 2, 3, 2, 4, 0, 3, 3, 0, 0, 4, 2, 0, 0, 1, 1, 0, 3, 3, 2, 4, 4, 2, 0, 4, 3, 4, 0, 1, 4, 1, 0, 2, 4, 1, 0, 2, 0, 1, 1, 0, 3, 3, 3, 1, 3, 3, 4, 1, 3, 1, 0, 2, 0, 2, 2, 3, 2, 0, 3, 1, 2, 1, 0, 3, 1, 4, 1, 4, 4, 3, 3, 0, 2, 3, 2, 0, 0, 4, 4, 2, 3, 3, 2, 4, 2, 0, 0, 1, 4, 0, 1, 3, 2, 4, 2, 4, 1, 3, 1, 3, 3, 4, 3, 4, 4, 0, 1, 2, 3, 0, 0, 3, 4, 4, 4, 0, 1, 3, 4, 2, 3, 4, 1, 4, 3, 3, 1, 2, 0, 0, 3, 0, 4, 0, 2, 1, 4, 1, 3, 1] pubkeycol1017 = [4, 3, 0, 4, 4, 4, 2, 1, 0, 3, 0, 1, 4, 2, 0, 2, 1, 2, 0, 2, 0, 3, 3, 2, 4, 1, 3, 0, 1, 0, 1, 0, 0, 3, 3, 2, 4, 0, 1, 0, 0, 3, 1, 0, 2, 1, 2, 3, 3, 1, 4, 3, 2, 1, 1, 3, 2, 4, 0, 2, 1, 1, 1, 3, 0, 1, 3, 2, 2, 4, 1, 4, 1, 3, 4, 0, 1, 1, 4, 3, 2, 4, 1, 1, 4, 4, 4, 0, 3, 0, 2, 1, 1, 3, 2, 2, 3, 4, 4, 2, 4, 4, 0, 0, 4, 2, 2, 3, 3, 1, 2, 3, 4, 2, 4, 4, 3, 2, 2, 4, 1, 0, 2, 4, 0, 2, 3, 0, 0, 3, 0, 4, 4, 4, 3, 3, 0, 1, 4, 0, 4, 4, 1, 3, 3, 1, 0, 4, 3, 0, 0, 3, 1, 1, 1, 1, 4, 0, 4, 3, 0, 0, 4, 4, 0, 2, 4, 1, 4, 1, 0, 4, 2, 1, 1, 2, 4, 3, 1, 0, 2, 3, 3, 1, 3, 0, 4, 3, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 3, 0, 2, 3, 3, 2, 2, 4, 3, 3, 3, 1, 1, 0, 3, 1, 1, 4, 2, 1, 1, 4, 1, 2, 4, 2, 2, 2, 4, 0, 1, 4, 1, 3, 0, 2, 4, 2, 4, 0, 4, 0, 2, 3, 2, 0, 2, 4, 0, 3, 4, 4, 4, 3, 0, 0, 2, 1, 4, 2, 0, 3, 2, 1, 3, 4, 0, 2, 3, 4, 0, 4, 1, 4, 3, 2, 1, 3, 1, 3, 1, 3, 4, 2, 4, 4, 1, 2, 3, 1, 2, 4, 4, 4, 3, 4, 3, 0, 3, 1, 2, 3, 0, 0, 2, 0, 4, 1, 2, 3, 0, 0, 0, 1, 4, 2, 0, 4, 0, 1, 0, 4, 3, 2, 0, 0, 2, 1, 2, 2, 3, 1, 4, 0, 0, 2, 3, 2, 2, 0, 4, 4, 1, 0, 0, 3, 1, 1, 3, 1, 3, 1, 0, 3, 4, 3, 0, 0, 0, 3, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 4, 1, 2, 0, 3, 0, 3, 3, 1, 2, 1, 4, 0, 1, 2, 0, 0, 4, 2, 0, 1, 4, 1] pubkeycol1018 = [4, 4, 2, 3, 1, 0, 4, 4, 1, 4, 2, 1, 0, 1, 4, 3, 1, 0, 1, 1, 1, 4, 0, 3, 0, 1, 1, 3, 0, 4, 1, 1, 0, 4, 4, 0, 3, 3, 3, 0, 3, 0, 4, 2, 1, 1, 0, 4, 0, 2, 4, 1, 3, 4, 4, 1, 2, 4, 4, 3, 4, 1, 4, 2, 4, 0, 4, 1, 3, 2, 0, 1, 0, 2, 1, 0, 3, 3, 1, 3, 1, 2, 0, 1, 1, 4, 4, 0, 1, 0, 4, 1, 4, 1, 3, 2, 2, 2, 2, 4, 1, 2, 3, 0, 0, 4, 0, 1, 1, 1, 0, 3, 1, 3, 0, 2, 1, 1, 0, 3, 3, 4, 1, 2, 2, 1, 4, 3, 4, 2, 3, 4, 2, 1, 4, 2, 4, 4, 3, 4, 2, 1, 1, 0, 2, 0, 4, 1, 1, 0, 4, 4, 1, 4, 4, 2, 3, 3, 3, 2, 1, 3, 4, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 4, 0, 0, 2, 4, 3, 4, 0, 0, 0, 2, 0, 0, 1, 2, 1, 3, 4, 1, 1, 4, 0, 3, 3, 3, 2, 4, 4, 3, 1, 4, 1, 3, 1, 2, 3, 2, 2, 3, 1, 3, 2, 3, 1, 1, 1, 4, 2, 2, 0, 2, 3, 3, 4, 2, 1, 2, 1, 3, 1, 4, 2, 3, 2, 3, 4, 1, 2, 4, 1, 0, 0, 0, 1, 2, 1, 3, 3, 4, 3, 1, 2, 1, 4, 3, 3, 4, 3, 4, 3, 3, 3, 0, 1, 3, 2, 3, 4, 3, 4, 3, 0, 0, 1, 1, 4, 1, 2, 4, 3, 3, 3, 0, 4, 4, 3, 4, 0, 2, 4, 3, 3, 3, 0, 0, 3, 2, 2, 0, 0, 2, 0, 1, 3, 2, 3, 0, 1, 4, 2, 4, 2, 0, 1, 0, 3, 3, 3, 2, 0, 3, 3, 4, 3, 1, 2, 2, 4, 4, 4, 0, 3, 2, 1, 1, 0, 2, 1, 1, 3, 0, 3, 1, 3, 4, 2, 4, 2, 4, 1, 0, 0, 4, 0, 4, 2, 1, 1, 4, 2, 1, 1, 0, 4, 1, 2, 1, 4, 0, 3, 2, 1, 0, 0, 2, 3, 1, 1, 2, 0, 2, 0, 0, 0, 3, 3, 3, 0, 0, 1, 4, 4, 3, 1, 0, 0, 2] pubkeycol1019 = [3, 4, 1, 0, 0, 1, 0, 2, 4, 3, 0, 1, 1, 2, 1, 1, 3, 0, 1, 4, 2, 1, 4, 0, 2, 2, 2, 3, 1, 3, 0, 0, 0, 4, 0, 4, 1, 0, 1, 3, 4, 4, 2, 3, 4, 2, 3, 4, 4, 0, 3, 2, 1, 0, 3, 3, 1, 1, 0, 1, 4, 1, 0, 0, 0, 1, 3, 4, 3, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 0, 1, 0, 0, 2, 2, 4, 2, 1, 4, 2, 0, 3, 4, 0, 1, 1, 4, 0, 2, 1, 1, 3, 1, 0, 1, 1, 1, 2, 0, 3, 1, 4, 2, 0, 0, 1, 4, 2, 4, 0, 3, 3, 0, 2, 1, 1, 1, 2, 0, 0, 2, 4, 2, 3, 3, 3, 2, 3, 1, 3, 3, 1, 0, 0, 0, 3, 1, 0, 2, 2, 0, 0, 0, 1, 3, 3, 3, 1, 3, 4, 3, 1, 1, 0, 2, 4, 0, 1, 0, 1, 4, 1, 1, 1, 1, 0, 1, 3, 2, 1, 1, 4, 0, 3, 2, 0, 0, 4, 3, 4, 1, 1, 1, 3, 2, 3, 4, 1, 1, 4, 4, 1, 0, 0, 3, 4, 2, 2, 1, 4, 2, 1, 3, 1, 1, 1, 4, 0, 1, 0, 1, 0, 1, 3, 3, 3, 0, 0, 2, 4, 1, 4, 2, 4, 2, 3, 2, 3, 3, 4, 2, 1, 4, 2, 2, 1, 3, 2, 2, 2, 0, 4, 4, 2, 4, 4, 4, 0, 1, 1, 1, 4, 0, 1, 2, 0, 3, 2, 4, 3, 0, 3, 2, 2, 3, 2, 4, 1, 1, 1, 1, 3, 1, 3, 3, 3, 2, 0, 0, 0, 3, 0, 2, 0, 1, 4, 2, 2, 2, 3, 3, 2, 2, 0, 3, 0, 3, 4, 1, 2, 3, 1, 2, 3, 0, 3, 4, 1, 3, 4, 0, 2, 4, 4, 3, 3, 2, 3, 3, 0, 3, 4, 2, 2, 4, 3, 1, 0, 3, 3, 0, 3, 2, 4, 0, 2, 1, 4, 1, 2, 4, 4, 2, 0, 3, 2, 4, 3, 3, 0, 1, 4, 0, 2, 1, 4, 1, 3, 0, 1, 1, 4, 2, 2, 2, 4, 1, 4, 4, 3, 0, 0, 1, 3, 1, 2, 2, 4, 4, 0, 3, 3, 4, 3, 0, 3, 4, 4] pubkeycol1020 = [4, 2, 2, 2, 2, 2, 1, 2, 0, 0, 4, 4, 1, 1, 4, 0, 3, 3, 2, 4, 2, 0, 4, 2, 4, 2, 2, 1, 2, 3, 3, 3, 4, 4, 4, 3, 0, 4, 4, 1, 1, 1, 0, 1, 0, 4, 4, 1, 3, 4, 1, 2, 1, 1, 4, 1, 1, 3, 3, 1, 1, 2, 4, 3, 3, 1, 1, 1, 4, 3, 4, 3, 1, 3, 2, 3, 0, 2, 4, 4, 2, 4, 1, 3, 4, 3, 3, 4, 4, 1, 1, 1, 2, 2, 0, 3, 4, 4, 1, 4, 4, 0, 3, 0, 3, 4, 3, 4, 2, 4, 2, 4, 0, 3, 1, 0, 0, 2, 3, 1, 3, 3, 3, 3, 3, 0, 0, 1, 3, 3, 2, 0, 2, 0, 3, 3, 1, 0, 2, 2, 4, 4, 4, 2, 0, 1, 1, 0, 2, 4, 3, 3, 3, 2, 0, 4, 1, 3, 3, 1, 1, 1, 0, 0, 0, 4, 4, 3, 4, 0, 2, 4, 0, 2, 2, 0, 3, 3, 3, 0, 3, 4, 4, 0, 2, 4, 1, 2, 0, 3, 2, 2, 4, 3, 4, 2, 2, 0, 3, 4, 3, 0, 1, 0, 2, 3, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 1, 3, 0, 4, 0, 2, 1, 3, 0, 1, 1, 0, 0, 0, 3, 1, 4, 2, 3, 0, 0, 4, 3, 1, 1, 2, 4, 4, 0, 3, 3, 1, 2, 0, 1, 1, 2, 1, 2, 4, 3, 3, 3, 3, 4, 4, 2, 4, 1, 2, 1, 4, 1, 1, 0, 2, 0, 3, 1, 4, 3, 4, 2, 2, 4, 0, 1, 4, 0, 4, 2, 3, 1, 2, 2, 4, 4, 2, 2, 3, 4, 3, 4, 3, 0, 4, 4, 3, 3, 2, 3, 4, 4, 4, 3, 0, 3, 3, 4, 4, 1, 1, 4, 0, 3, 1, 0, 3, 0, 2, 1, 2, 4, 1, 2, 1, 3, 2, 4, 2, 2, 3, 4, 2, 2, 2, 2, 2, 1, 0, 2, 3, 0, 1, 3, 1, 4, 2, 0, 0, 2, 4, 3, 4, 1, 2, 4, 1, 1, 3, 2, 2, 2, 4, 2, 0, 0, 4, 2, 1, 4, 3, 3, 4, 1, 4, 2, 2, 1, 0, 0, 0, 1, 4, 2, 1, 4, 2, 3, 3, 4, 4, 0, 1] pubkeycol1021 = [1, 4, 4, 0, 3, 2, 1, 0, 1, 3, 0, 2, 2, 4, 0, 2, 1, 1, 1, 4, 3, 3, 1, 4, 0, 0, 4, 1, 3, 0, 2, 4, 4, 4, 4, 2, 1, 4, 1, 4, 0, 1, 0, 1, 2, 3, 1, 0, 1, 2, 4, 0, 4, 3, 0, 0, 4, 4, 3, 4, 1, 2, 1, 4, 2, 3, 0, 3, 2, 4, 3, 0, 3, 2, 4, 4, 2, 3, 2, 0, 0, 1, 0, 4, 2, 1, 1, 0, 2, 0, 0, 3, 3, 3, 2, 1, 1, 0, 0, 4, 1, 1, 0, 3, 1, 1, 0, 0, 3, 4, 1, 3, 4, 0, 4, 2, 2, 4, 0, 0, 3, 1, 0, 2, 2, 4, 1, 2, 0, 1, 4, 3, 4, 3, 4, 0, 3, 3, 0, 3, 4, 3, 2, 4, 0, 0, 2, 0, 2, 2, 3, 0, 2, 2, 2, 0, 2, 0, 4, 4, 2, 3, 0, 4, 2, 2, 3, 2, 2, 4, 4, 0, 3, 3, 4, 4, 2, 4, 4, 3, 0, 3, 2, 0, 4, 1, 3, 4, 1, 1, 1, 1, 0, 1, 3, 0, 2, 2, 3, 3, 0, 3, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 3, 4, 1, 1, 4, 0, 4, 0, 3, 0, 3, 1, 4, 1, 4, 0, 1, 4, 0, 3, 4, 2, 0, 4, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 4, 0, 3, 2, 2, 2, 4, 3, 2, 0, 2, 0, 4, 4, 2, 1, 1, 1, 1, 0, 4, 1, 1, 2, 2, 1, 4, 3, 0, 3, 3, 0, 2, 3, 1, 4, 0, 0, 1, 1, 4, 2, 3, 3, 4, 3, 4, 3, 4, 0, 3, 4, 1, 3, 2, 3, 0, 1, 2, 4, 3, 3, 2, 1, 1, 1, 0, 3, 0, 0, 1, 2, 1, 2, 0, 2, 0, 3, 1, 3, 1, 0, 0, 3, 0, 1, 2, 0, 0, 1, 3, 1, 4, 2, 2, 4, 4, 0, 1, 0, 2, 3, 2, 0, 0, 0, 3, 2, 2, 1, 1, 2, 0, 3, 3, 4, 4, 1, 1, 1, 3, 2, 1, 4, 3, 2, 0, 0, 3, 3, 1, 2, 2, 4, 2, 2, 4, 3, 3, 2, 0, 4, 0, 1, 2, 0, 3, 1, 2, 0, 1, 2, 2, 1] pubkeycol1022 = [3, 3, 2, 4, 4, 4, 0, 0, 0, 3, 0, 3, 1, 4, 0, 2, 4, 3, 0, 0, 2, 2, 2, 0, 1, 0, 4, 1, 2, 0, 0, 4, 2, 1, 0, 3, 0, 0, 4, 1, 3, 0, 1, 0, 1, 0, 3, 3, 1, 4, 0, 3, 0, 4, 2, 1, 0, 4, 2, 3, 2, 0, 4, 3, 3, 2, 4, 3, 0, 2, 3, 0, 3, 0, 4, 3, 4, 1, 3, 1, 4, 2, 3, 0, 3, 0, 4, 1, 3, 0, 1, 4, 4, 4, 3, 2, 2, 3, 2, 0, 0, 3, 3, 4, 4, 2, 4, 3, 4, 4, 0, 1, 4, 1, 2, 3, 1, 3, 0, 2, 2, 1, 4, 1, 0, 3, 0, 3, 4, 0, 4, 2, 1, 2, 1, 3, 3, 2, 3, 3, 0, 1, 0, 0, 3, 4, 1, 1, 0, 1, 1, 4, 1, 3, 1, 4, 4, 3, 1, 0, 3, 4, 3, 1, 2, 0, 2, 0, 4, 4, 4, 4, 1, 1, 1, 4, 0, 4, 4, 1, 0, 4, 2, 0, 3, 0, 3, 4, 4, 2, 1, 1, 4, 3, 4, 3, 4, 0, 1, 2, 0, 3, 2, 3, 0, 1, 4, 3, 3, 2, 3, 4, 3, 0, 0, 1, 4, 0, 2, 4, 2, 0, 1, 4, 1, 1, 0, 3, 3, 0, 1, 0, 1, 2, 3, 0, 3, 3, 0, 3, 4, 2, 0, 4, 1, 3, 2, 0, 2, 2, 3, 1, 2, 4, 0, 2, 3, 0, 4, 1, 0, 2, 4, 2, 2, 2, 2, 4, 2, 1, 0, 3, 3, 0, 3, 0, 1, 4, 1, 3, 4, 2, 3, 1, 4, 1, 1, 4, 1, 3, 2, 2, 2, 2, 1, 0, 4, 3, 1, 1, 4, 0, 3, 3, 1, 2, 1, 3, 3, 2, 4, 0, 3, 4, 2, 1, 3, 3, 1, 1, 1, 3, 0, 2, 1, 3, 0, 1, 3, 1, 3, 1, 4, 3, 4, 3, 3, 3, 2, 3, 2, 3, 0, 2, 1, 0, 4, 4, 1, 3, 1, 3, 3, 2, 2, 0, 0, 2, 1, 2, 0, 3, 3, 4, 0, 4, 0, 3, 4, 3, 3, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 3, 3, 2, 4, 4, 4, 2, 4, 1, 2, 1, 0, 3, 4, 3, 1, 4, 1, 1] pubkeycol1023 = [3, 3, 0, 0, 0, 3, 2, 3, 4, 0, 1, 3, 0, 2, 2, 1, 0, 4, 1, 0, 1, 2, 4, 2, 4, 1, 4, 0, 2, 3, 3, 0, 0, 1, 2, 1, 1, 2, 1, 2, 3, 1, 4, 2, 1, 1, 0, 0, 0, 1, 3, 1, 4, 4, 4, 4, 1, 2, 3, 4, 3, 0, 4, 3, 3, 2, 1, 0, 3, 1, 0, 1, 3, 3, 0, 1, 2, 4, 1, 0, 1, 4, 4, 2, 3, 2, 2, 3, 4, 4, 4, 3, 0, 0, 2, 3, 2, 2, 2, 1, 3, 3, 3, 4, 4, 3, 0, 3, 1, 2, 1, 4, 2, 4, 4, 4, 4, 1, 0, 1, 1, 3, 4, 0, 2, 2, 1, 2, 3, 1, 1, 3, 2, 4, 1, 0, 4, 4, 4, 0, 2, 4, 1, 4, 2, 2, 2, 1, 0, 0, 1, 3, 0, 2, 4, 4, 0, 3, 0, 1, 4, 3, 2, 4, 1, 4, 0, 1, 4, 2, 4, 3, 2, 0, 4, 3, 1, 3, 4, 0, 0, 4, 1, 0, 1, 0, 4, 1, 4, 2, 2, 0, 0, 4, 4, 1, 2, 3, 4, 3, 3, 2, 1, 1, 4, 0, 3, 1, 0, 2, 1, 3, 0, 2, 1, 0, 0, 0, 2, 1, 3, 4, 2, 1, 2, 0, 4, 2, 0, 2, 1, 1, 2, 0, 0, 2, 3, 3, 4, 4, 3, 3, 1, 3, 1, 4, 4, 2, 3, 3, 0, 2, 0, 0, 0, 0, 4, 1, 0, 3, 3, 4, 4, 0, 1, 4, 1, 3, 1, 1, 1, 3, 3, 2, 3, 0, 2, 0, 3, 3, 3, 0, 1, 3, 0, 1, 4, 0, 3, 4, 0, 0, 3, 0, 2, 1, 4, 1, 3, 0, 2, 2, 1, 3, 4, 3, 3, 3, 1, 1, 2, 2, 4, 1, 3, 0, 0, 2, 0, 0, 0, 4, 3, 0, 1, 0, 3, 0, 3, 0, 4, 2, 0, 1, 0, 4, 4, 4, 1, 4, 2, 4, 3, 4, 1, 3, 2, 2, 1, 1, 3, 1, 0, 3, 2, 2, 4, 0, 1, 3, 0, 3, 2, 0, 2, 2, 3, 4, 4, 1, 3, 3, 2, 1, 0, 1, 1, 4, 2, 1, 1, 2, 3, 0, 0, 3, 0, 1, 1, 0, 4, 2, 2, 4, 2, 0, 3, 4, 1, 4] pubkeycol1024 = [1, 0, 2, 4, 0, 1, 2, 4, 3, 0, 3, 0, 1, 1, 0, 1, 4, 4, 4, 2, 0, 0, 3, 4, 4, 2, 2, 0, 1, 3, 3, 4, 4, 0, 3, 3, 4, 0, 0, 1, 4, 0, 4, 2, 3, 0, 4, 0, 3, 3, 1, 4, 0, 4, 3, 2, 2, 2, 1, 2, 4, 1, 3, 4, 1, 3, 2, 1, 3, 3, 3, 2, 4, 1, 0, 4, 4, 0, 4, 3, 4, 2, 4, 0, 4, 2, 4, 1, 0, 1, 4, 4, 4, 4, 2, 1, 2, 2, 3, 4, 0, 0, 0, 2, 2, 0, 3, 4, 1, 2, 3, 1, 1, 3, 2, 1, 1, 0, 1, 1, 4, 2, 2, 4, 4, 2, 3, 2, 1, 2, 3, 0, 4, 4, 1, 2, 1, 4, 4, 1, 3, 0, 3, 4, 2, 4, 3, 2, 2, 3, 4, 0, 2, 3, 0, 4, 0, 4, 1, 4, 3, 4, 2, 1, 4, 4, 4, 3, 4, 2, 0, 0, 3, 0, 4, 0, 2, 3, 2, 1, 4, 4, 2, 4, 0, 1, 1, 2, 3, 2, 2, 4, 3, 3, 3, 4, 2, 3, 2, 1, 3, 0, 3, 1, 1, 3, 1, 0, 3, 1, 0, 1, 3, 0, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 2, 0, 3, 4, 1, 2, 0, 2, 4, 3, 0, 1, 2, 2, 4, 2, 2, 2, 2, 0, 4, 3, 2, 1, 4, 1, 1, 3, 1, 4, 0, 0, 1, 0, 4, 2, 1, 1, 4, 1, 1, 4, 2, 1, 3, 0, 0, 1, 1, 1, 4, 3, 0, 4, 4, 1, 4, 4, 0, 2, 0, 4, 2, 2, 2, 2, 4, 1, 0, 3, 0, 3, 2, 2, 3, 2, 3, 1, 0, 3, 3, 3, 3, 2, 0, 1, 2, 2, 1, 4, 2, 2, 1, 0, 3, 0, 0, 1, 4, 1, 4, 0, 3, 4, 2, 4, 4, 1, 3, 3, 2, 1, 4, 2, 4, 2, 2, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 2, 0, 4, 1, 4, 0, 1, 4, 0, 4, 0, 4, 3, 1, 3, 0, 4, 1, 3, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 1, 3, 1, 2, 2, 4, 2, 3, 4, 0, 0, 2, 0, 0, 0, 2, 3, 1, 3] pubkeycol1025 = [3, 4, 0, 3, 0, 3, 1, 4, 1, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 0, 2, 3, 4, 2, 0, 1, 4, 1, 3, 0, 2, 1, 0, 4, 2, 1, 3, 1, 3, 0, 1, 4, 1, 1, 4, 4, 4, 2, 0, 3, 0, 1, 0, 4, 4, 0, 0, 4, 4, 1, 4, 0, 3, 2, 0, 2, 1, 2, 1, 4, 1, 2, 1, 3, 4, 3, 2, 0, 0, 0, 4, 4, 4, 0, 3, 1, 0, 0, 2, 3, 2, 3, 3, 2, 3, 1, 2, 0, 0, 2, 2, 3, 4, 0, 4, 2, 1, 2, 4, 3, 2, 4, 4, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 4, 1, 4, 0, 4, 2, 0, 2, 1, 2, 4, 3, 4, 1, 0, 0, 0, 1, 1, 4, 2, 0, 3, 3, 3, 4, 4, 4, 0, 1, 4, 2, 0, 4, 0, 3, 0, 1, 1, 3, 0, 2, 1, 1, 3, 0, 0, 4, 4, 3, 2, 3, 4, 1, 2, 1, 2, 4, 0, 0, 1, 4, 4, 4, 0, 0, 1, 0, 3, 4, 0, 1, 3, 0, 0, 0, 1, 2, 1, 4, 1, 1, 4, 0, 0, 3, 1, 0, 2, 0, 3, 2, 4, 1, 0, 4, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 3, 0, 3, 0, 1, 2, 2, 1, 4, 1, 3, 0, 4, 4, 4, 1, 4, 4, 0, 2, 2, 0, 2, 4, 0, 4, 4, 4, 3, 4, 1, 3, 3, 4, 0, 1, 3, 0, 2, 1, 4, 1, 1, 4, 4, 3, 4, 0, 2, 3, 4, 0, 4, 0, 2, 1, 4, 2, 1, 1, 4, 1, 3, 2, 4, 0, 4, 0, 1, 0, 4, 4, 3, 2, 4, 3, 2, 3, 3, 0, 0, 4, 3, 1, 4, 4, 2, 2, 2, 4, 0, 3, 2, 1, 3, 2, 4, 4, 1, 0, 4, 4, 1, 0, 3, 2, 0, 0, 0, 0, 3, 1, 1, 2, 0, 2, 3, 0, 0, 4, 1, 1, 2, 4, 2, 3, 2, 4, 4, 4, 2, 4, 0, 1, 1, 1, 3, 4, 1, 3, 1, 3, 3, 1, 4, 3, 1, 0, 4, 2, 1, 1, 0, 2, 0, 3, 1, 0, 1, 0, 4, 3, 0, 3, 1, 1, 4] pubkeycol1026 = [0, 3, 2, 3, 1, 0, 2, 0, 4, 3, 2, 2, 4, 4, 4, 4, 4, 2, 3, 3, 3, 3, 0, 2, 0, 3, 4, 4, 0, 4, 1, 0, 4, 2, 1, 3, 4, 3, 0, 4, 3, 1, 4, 0, 4, 4, 3, 1, 4, 2, 2, 4, 3, 3, 1, 2, 4, 3, 3, 0, 0, 2, 2, 4, 1, 1, 0, 3, 3, 4, 4, 2, 1, 3, 3, 4, 2, 3, 4, 2, 2, 0, 0, 0, 3, 2, 1, 2, 3, 4, 4, 3, 0, 2, 3, 2, 3, 3, 4, 0, 0, 4, 1, 1, 4, 3, 4, 3, 4, 1, 4, 4, 3, 0, 2, 4, 1, 3, 3, 2, 3, 2, 1, 1, 3, 1, 1, 2, 4, 0, 3, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 4, 4, 1, 2, 4, 0, 0, 0, 3, 3, 1, 3, 4, 3, 4, 1, 1, 3, 2, 0, 0, 0, 3, 1, 0, 2, 2, 3, 3, 0, 1, 3, 0, 4, 1, 1, 4, 1, 3, 3, 3, 0, 2, 4, 0, 4, 4, 0, 2, 2, 1, 1, 1, 1, 2, 2, 4, 2, 2, 2, 4, 1, 0, 0, 4, 4, 2, 2, 2, 2, 1, 1, 2, 4, 1, 4, 0, 3, 0, 0, 0, 2, 2, 0, 2, 4, 2, 3, 4, 2, 1, 2, 2, 1, 2, 0, 2, 4, 1, 1, 4, 3, 0, 0, 2, 4, 4, 3, 3, 1, 1, 3, 1, 0, 3, 1, 4, 2, 2, 2, 3, 4, 3, 1, 1, 1, 2, 3, 3, 3, 2, 0, 0, 4, 3, 1, 1, 3, 0, 3, 1, 0, 2, 3, 4, 4, 2, 1, 0, 3, 3, 0, 0, 1, 3, 4, 0, 4, 1, 4, 4, 0, 4, 2, 3, 2, 4, 2, 1, 4, 0, 3, 4, 3, 3, 3, 3, 4, 2, 1, 0, 0, 0, 1, 3, 0, 4, 0, 4, 3, 3, 0, 2, 4, 4, 4, 2, 1, 3, 0, 2, 4, 1, 3, 4, 2, 1, 3, 2, 1, 1, 3, 3, 4, 3, 2, 1, 3, 1, 1, 4, 3, 3, 3, 2, 3, 1, 0, 0, 2, 3, 2, 3, 0, 2, 1, 2, 4, 1, 2, 4, 2, 3, 1, 2, 2, 2, 0, 2, 1, 2, 3, 0, 4, 3, 3, 0, 1] pubkeycol1027 = [4, 1, 2, 2, 4, 2, 4, 1, 4, 0, 0, 2, 0, 4, 0, 0, 1, 4, 3, 2, 1, 0, 0, 1, 4, 4, 1, 2, 2, 4, 1, 4, 2, 2, 2, 1, 2, 0, 2, 0, 0, 4, 4, 3, 3, 0, 2, 4, 2, 0, 0, 2, 3, 2, 4, 3, 3, 0, 0, 1, 0, 1, 3, 4, 0, 4, 3, 1, 1, 0, 1, 3, 3, 4, 1, 1, 1, 3, 2, 0, 0, 2, 0, 0, 1, 2, 1, 4, 2, 3, 1, 1, 2, 0, 2, 3, 1, 0, 1, 1, 0, 0, 1, 4, 2, 3, 4, 4, 1, 0, 2, 0, 1, 4, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 4, 4, 1, 2, 1, 2, 3, 2, 4, 2, 0, 2, 2, 4, 2, 3, 3, 1, 0, 4, 4, 0, 1, 2, 4, 4, 2, 0, 3, 1, 4, 2, 4, 1, 3, 3, 2, 4, 0, 3, 2, 3, 4, 1, 4, 3, 3, 2, 2, 0, 1, 0, 2, 1, 4, 3, 0, 1, 1, 0, 2, 0, 3, 1, 3, 0, 2, 2, 4, 1, 3, 2, 3, 1, 2, 0, 0, 3, 3, 2, 2, 3, 1, 4, 0, 3, 3, 2, 2, 3, 4, 1, 2, 2, 3, 0, 2, 2, 3, 4, 0, 1, 0, 1, 1, 1, 4, 0, 2, 4, 3, 1, 2, 4, 3, 2, 1, 4, 2, 3, 0, 0, 3, 2, 2, 4, 3, 3, 2, 4, 0, 2, 4, 4, 0, 2, 3, 3, 1, 4, 0, 0, 1, 3, 2, 4, 2, 1, 0, 2, 4, 3, 1, 0, 0, 3, 3, 3, 3, 3, 1, 3, 1, 4, 2, 3, 2, 1, 2, 4, 4, 3, 0, 3, 2, 2, 4, 4, 2, 0, 4, 1, 2, 0, 4, 2, 4, 2, 1, 1, 4, 0, 3, 3, 3, 3, 4, 0, 2, 0, 0, 0, 4, 4, 2, 4, 1, 2, 3, 0, 1, 3, 4, 2, 0, 3, 0, 0, 3, 1, 0, 2, 3, 3, 2, 4, 4, 0, 4, 1, 4, 4, 3, 2, 2, 0, 1, 2, 0, 4, 2, 0, 0, 3, 4, 1, 1, 3, 4, 1, 4, 2, 4, 2, 1, 2, 4, 2, 3, 2, 2, 3, 1, 0, 2, 0, 2, 4, 1, 4, 4, 4, 4, 0, 0, 2] pubkeycol1028 = [4, 3, 2, 1, 1, 0, 0, 3, 2, 0, 1, 3, 3, 2, 4, 2, 4, 3, 3, 0, 1, 2, 3, 1, 4, 4, 4, 4, 2, 0, 1, 3, 1, 0, 4, 2, 2, 0, 3, 2, 4, 4, 2, 3, 2, 3, 2, 0, 2, 1, 4, 4, 4, 3, 2, 1, 0, 3, 3, 2, 1, 1, 1, 3, 0, 4, 4, 4, 4, 0, 4, 2, 1, 2, 1, 0, 4, 3, 2, 0, 0, 4, 4, 0, 1, 0, 4, 0, 4, 1, 0, 4, 0, 4, 2, 1, 1, 2, 2, 4, 4, 2, 4, 0, 1, 2, 4, 1, 0, 1, 1, 4, 0, 0, 1, 2, 1, 0, 2, 3, 2, 0, 0, 2, 1, 0, 1, 3, 2, 1, 2, 1, 0, 0, 1, 4, 1, 4, 2, 0, 4, 0, 4, 1, 3, 0, 1, 4, 2, 1, 3, 3, 4, 3, 2, 1, 4, 3, 1, 4, 2, 2, 3, 2, 2, 3, 0, 2, 2, 0, 2, 2, 4, 3, 3, 4, 0, 1, 0, 0, 2, 4, 3, 1, 0, 2, 2, 2, 1, 0, 4, 2, 3, 1, 0, 2, 1, 4, 0, 1, 1, 0, 3, 2, 3, 2, 0, 3, 2, 3, 4, 3, 3, 0, 4, 4, 4, 4, 2, 4, 0, 1, 0, 0, 4, 4, 3, 3, 2, 2, 1, 0, 1, 0, 4, 4, 4, 4, 4, 0, 1, 1, 3, 1, 2, 4, 3, 0, 0, 1, 0, 0, 1, 0, 3, 0, 1, 2, 2, 1, 3, 4, 3, 2, 0, 0, 1, 3, 3, 2, 4, 0, 0, 4, 3, 4, 1, 2, 1, 1, 2, 0, 3, 1, 4, 4, 2, 0, 4, 4, 3, 4, 2, 4, 2, 0, 0, 2, 1, 4, 4, 1, 0, 3, 0, 2, 1, 2, 0, 2, 4, 0, 4, 4, 3, 0, 1, 3, 0, 3, 4, 3, 0, 3, 0, 0, 0, 1, 0, 4, 3, 3, 1, 4, 1, 0, 1, 4, 1, 3, 0, 3, 1, 0, 2, 0, 4, 4, 1, 1, 4, 0, 3, 4, 2, 0, 2, 4, 2, 4, 4, 0, 4, 4, 4, 3, 3, 4, 2, 0, 1, 2, 4, 2, 3, 2, 0, 2, 3, 3, 2, 0, 4, 1, 4, 0, 0, 2, 3, 4, 3, 0, 4, 0, 2, 0, 2, 3, 0, 1] pubkeycol1029 = [0, 2, 2, 4, 1, 1, 3, 0, 0, 1, 2, 3, 3, 2, 1, 3, 4, 3, 4, 2, 3, 1, 2, 0, 3, 1, 0, 4, 2, 1, 4, 4, 1, 2, 1, 2, 3, 2, 3, 0, 4, 4, 2, 3, 3, 3, 2, 1, 4, 4, 2, 2, 2, 0, 4, 4, 3, 0, 2, 3, 2, 1, 1, 1, 1, 3, 0, 4, 4, 2, 3, 4, 2, 3, 2, 4, 0, 4, 1, 1, 0, 2, 1, 4, 1, 4, 0, 1, 0, 3, 4, 4, 4, 2, 0, 2, 3, 1, 3, 2, 2, 2, 2, 0, 0, 3, 4, 2, 3, 0, 1, 0, 1, 4, 1, 0, 2, 0, 0, 2, 4, 3, 1, 3, 1, 3, 2, 4, 4, 3, 1, 0, 0, 0, 2, 2, 2, 2, 3, 3, 2, 3, 4, 4, 0, 4, 4, 0, 2, 0, 1, 0, 4, 3, 2, 0, 0, 1, 1, 0, 3, 2, 2, 1, 1, 2, 3, 3, 4, 2, 4, 1, 1, 3, 4, 2, 0, 0, 3, 1, 2, 2, 3, 1, 2, 0, 0, 4, 0, 4, 3, 2, 2, 2, 3, 3, 4, 0, 1, 0, 0, 4, 1, 3, 1, 2, 3, 3, 4, 4, 4, 2, 4, 2, 2, 0, 1, 3, 0, 1, 4, 0, 3, 2, 0, 1, 4, 3, 3, 3, 0, 2, 0, 4, 4, 3, 0, 3, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 4, 2, 0, 2, 0, 0, 3, 1, 4, 2, 2, 2, 0, 0, 0, 0, 4, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 3, 2, 0, 1, 4, 3, 4, 3, 4, 2, 4, 0, 4, 0, 4, 1, 3, 3, 3, 0, 3, 0, 1, 3, 1, 0, 4, 0, 4, 1, 0, 2, 1, 3, 0, 4, 4, 4, 2, 1, 3, 4, 1, 3, 2, 4, 2, 0, 0, 0, 1, 0, 1, 3, 4, 3, 1, 3, 0, 4, 1, 0, 2, 2, 4, 4, 1, 4, 3, 3, 3, 0, 1, 2, 0, 0, 2, 2, 2, 3, 3, 2, 0, 2, 4, 0, 3, 1, 0, 0, 4, 0, 0, 0, 2, 2, 0, 4, 1, 4, 2, 4, 2, 3, 2, 0, 0, 1, 1, 3, 4, 1, 1, 0, 3, 2, 3, 0, 4, 2, 3, 4, 0] pubkeycol1030 = [1, 1, 4, 1, 0, 2, 4, 0, 1, 0, 2, 4, 0, 1, 1, 0, 1, 0, 4, 2, 1, 3, 0, 0, 2, 0, 2, 1, 4, 0, 3, 1, 0, 4, 2, 0, 0, 1, 4, 4, 3, 0, 3, 2, 0, 4, 0, 2, 1, 2, 4, 1, 4, 3, 1, 4, 0, 4, 2, 0, 0, 0, 2, 2, 0, 4, 0, 4, 2, 3, 0, 3, 4, 2, 3, 4, 4, 4, 1, 4, 0, 2, 4, 4, 1, 2, 2, 3, 4, 2, 2, 3, 1, 2, 1, 2, 0, 2, 2, 2, 3, 0, 2, 1, 1, 0, 0, 0, 1, 4, 0, 0, 2, 2, 2, 4, 3, 3, 0, 3, 3, 1, 3, 1, 0, 3, 1, 0, 0, 1, 2, 1, 0, 0, 1, 4, 3, 2, 1, 0, 3, 2, 4, 4, 0, 3, 0, 2, 4, 4, 4, 3, 0, 0, 1, 4, 2, 0, 0, 4, 3, 2, 3, 1, 0, 2, 1, 4, 4, 4, 4, 4, 0, 0, 2, 1, 0, 3, 1, 1, 3, 4, 1, 1, 3, 3, 2, 2, 2, 3, 1, 1, 3, 1, 4, 1, 4, 2, 4, 4, 4, 1, 1, 1, 1, 0, 0, 0, 4, 2, 2, 2, 2, 0, 4, 0, 4, 4, 0, 3, 4, 1, 4, 2, 3, 4, 0, 4, 4, 4, 1, 1, 4, 1, 2, 4, 1, 0, 0, 4, 3, 1, 3, 3, 0, 0, 1, 1, 3, 2, 0, 0, 3, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 3, 1, 3, 0, 4, 0, 0, 4, 4, 1, 4, 4, 2, 1, 4, 2, 3, 4, 2, 4, 0, 1, 4, 2, 0, 0, 0, 2, 4, 2, 1, 2, 2, 4, 3, 2, 4, 4, 4, 2, 0, 4, 2, 2, 1, 0, 2, 3, 0, 3, 0, 0, 2, 1, 4, 0, 3, 2, 4, 3, 4, 0, 4, 4, 2, 0, 1, 3, 0, 0, 0, 4, 0, 1, 3, 1, 2, 0, 0, 4, 2, 0, 2, 3, 1, 2, 3, 3, 4, 4, 2, 4, 2, 1, 0, 2, 4, 3, 3, 3, 3, 3, 3, 4, 1, 4, 2, 1, 4, 0, 3, 3, 3, 0, 1, 1, 4, 4, 1, 3, 4, 3, 0, 3, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol1031 = [3, 1, 4, 0, 1, 4, 3, 3, 0, 0, 4, 4, 3, 2, 0, 1, 2, 0, 4, 1, 2, 0, 2, 3, 3, 1, 0, 4, 4, 4, 2, 3, 3, 2, 4, 4, 2, 4, 3, 4, 2, 2, 0, 3, 2, 4, 0, 2, 3, 3, 2, 1, 3, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 4, 0, 1, 0, 1, 3, 0, 1, 3, 1, 3, 3, 1, 4, 2, 0, 0, 3, 4, 3, 2, 1, 2, 1, 2, 4, 2, 4, 3, 4, 3, 4, 4, 2, 4, 2, 4, 3, 0, 1, 2, 4, 2, 4, 2, 2, 4, 3, 0, 4, 0, 0, 1, 3, 3, 4, 1, 3, 4, 2, 1, 2, 0, 4, 1, 1, 3, 3, 4, 2, 4, 1, 2, 3, 2, 1, 4, 1, 1, 1, 2, 2, 1, 3, 4, 0, 4, 1, 1, 2, 2, 2, 3, 0, 1, 0, 1, 3, 1, 4, 3, 4, 1, 1, 3, 2, 1, 0, 4, 2, 4, 2, 1, 2, 3, 2, 0, 2, 1, 4, 2, 3, 0, 2, 2, 3, 3, 3, 4, 3, 4, 2, 2, 2, 1, 3, 1, 2, 3, 4, 2, 4, 4, 3, 0, 1, 4, 2, 4, 1, 1, 2, 4, 3, 3, 3, 4, 1, 1, 0, 0, 1, 3, 3, 4, 1, 2, 2, 3, 1, 0, 4, 3, 0, 2, 1, 4, 0, 2, 0, 0, 2, 4, 0, 3, 3, 1, 3, 4, 3, 0, 2, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 3, 4, 3, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 3, 3, 4, 0, 4, 2, 4, 0, 2, 1, 2, 1, 1, 1, 4, 4, 3, 4, 1, 1, 2, 0, 4, 0, 0, 4, 1, 2, 0, 0, 0, 3, 3, 4, 2, 1, 2, 4, 0, 0, 1, 4, 3, 0, 4, 1, 1, 0, 4, 2, 0, 0, 0, 1, 1, 2, 1, 4, 4, 4, 2, 3, 1, 4, 1, 3, 3, 4, 1, 2, 0, 1, 3, 3, 1, 4, 2, 0, 4, 2, 3, 1, 1, 2, 2, 4, 0, 0, 0, 1, 4, 4, 3, 2, 0, 0, 0, 4, 3, 3, 2, 4, 3, 3, 3, 4, 2, 3, 1, 3, 0, 0, 2, 0, 1, 0, 4, 0, 3] pubkeycol1032 = [4, 2, 2, 2, 0, 3, 2, 3, 1, 3, 1, 3, 4, 4, 0, 4, 0, 4, 2, 0, 1, 1, 3, 1, 4, 0, 0, 0, 4, 4, 4, 3, 4, 1, 1, 2, 3, 1, 2, 0, 3, 2, 2, 4, 2, 0, 2, 1, 0, 2, 3, 1, 0, 2, 0, 4, 1, 3, 4, 3, 3, 1, 2, 0, 3, 1, 4, 2, 1, 1, 3, 1, 0, 3, 3, 1, 2, 4, 3, 3, 1, 0, 1, 2, 3, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 3, 1, 2, 4, 4, 0, 3, 0, 4, 4, 1, 4, 2, 3, 3, 4, 3, 2, 0, 3, 1, 4, 4, 1, 1, 4, 2, 1, 0, 4, 2, 3, 4, 0, 4, 4, 2, 3, 1, 3, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 3, 1, 1, 0, 4, 3, 1, 2, 4, 0, 4, 4, 2, 3, 4, 1, 0, 0, 4, 3, 3, 4, 4, 0, 4, 3, 2, 1, 0, 2, 1, 3, 3, 3, 0, 4, 2, 4, 0, 1, 4, 4, 0, 1, 0, 3, 0, 3, 1, 1, 1, 0, 4, 0, 2, 3, 0, 4, 4, 4, 0, 1, 0, 2, 4, 0, 4, 1, 0, 4, 2, 0, 4, 0, 4, 1, 2, 0, 3, 3, 4, 2, 2, 3, 4, 2, 2, 2, 2, 1, 0, 2, 0, 2, 4, 1, 4, 4, 3, 2, 0, 3, 2, 2, 1, 3, 3, 2, 3, 4, 1, 3, 4, 3, 4, 3, 0, 2, 0, 1, 3, 3, 3, 3, 4, 0, 2, 0, 4, 4, 2, 4, 2, 2, 4, 4, 0, 2, 3, 0, 1, 2, 0, 0, 2, 1, 3, 0, 3, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 4, 0, 4, 4, 4, 4, 3, 0, 4, 4, 4, 1, 3, 3, 2, 3, 2, 2, 3, 1, 2, 4, 3, 3, 1, 2, 3, 3, 2, 4, 0, 4, 0, 0, 0, 4, 2, 4, 0, 0, 3, 3, 3, 4, 2, 0, 4, 4, 2, 3, 1, 4, 0, 3, 4, 1, 0, 3, 2, 2, 3, 4, 3, 3, 3, 4, 4, 0, 0, 2, 4, 3, 1, 2, 0, 2, 0, 3, 3, 2, 2, 4, 1, 1, 0, 2, 2, 0] pubkeycol1033 = [4, 2, 1, 4, 2, 1, 3, 2, 2, 3, 3, 2, 2, 4, 0, 0, 1, 0, 4, 2, 0, 4, 4, 3, 3, 2, 2, 0, 4, 3, 0, 3, 3, 1, 2, 2, 4, 3, 2, 3, 3, 0, 1, 2, 0, 3, 4, 0, 3, 2, 4, 1, 2, 4, 0, 4, 0, 1, 1, 2, 2, 1, 4, 2, 3, 1, 0, 2, 3, 1, 0, 2, 1, 0, 2, 4, 1, 3, 0, 4, 1, 3, 0, 3, 2, 2, 4, 3, 0, 1, 4, 4, 1, 1, 0, 4, 2, 0, 0, 0, 2, 3, 4, 1, 1, 1, 1, 2, 0, 2, 0, 3, 0, 0, 4, 2, 3, 0, 1, 0, 3, 2, 3, 3, 0, 0, 2, 0, 4, 1, 1, 1, 2, 0, 2, 3, 4, 3, 2, 2, 4, 0, 2, 4, 1, 0, 2, 1, 3, 4, 4, 3, 4, 3, 3, 2, 1, 0, 3, 1, 2, 4, 4, 1, 1, 3, 3, 3, 2, 4, 3, 2, 3, 4, 0, 4, 4, 3, 1, 1, 0, 3, 0, 3, 0, 1, 3, 2, 4, 3, 0, 1, 1, 4, 1, 3, 0, 2, 2, 2, 3, 0, 2, 3, 3, 4, 3, 0, 0, 2, 4, 2, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 3, 3, 3, 4, 1, 1, 3, 4, 3, 3, 2, 4, 1, 1, 4, 3, 1, 3, 4, 3, 0, 0, 1, 2, 1, 3, 3, 0, 3, 2, 2, 3, 4, 0, 1, 2, 4, 4, 2, 1, 1, 0, 2, 1, 4, 0, 3, 0, 4, 3, 3, 2, 3, 1, 1, 2, 3, 0, 1, 0, 1, 0, 4, 0, 0, 0, 4, 4, 2, 4, 3, 0, 4, 2, 4, 1, 3, 0, 1, 3, 0, 1, 3, 3, 1, 4, 1, 1, 1, 0, 2, 1, 4, 0, 0, 4, 3, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 3, 1, 1, 3, 0, 3, 0, 3, 4, 1, 0, 2, 1, 2, 0, 4, 4, 1, 0, 3, 1, 2, 4, 0, 4, 1, 2, 3, 2, 0, 0, 2, 1, 3, 3, 4, 4, 1, 4, 3, 0, 4, 2, 3, 3, 0, 0, 4, 1, 0, 0, 4, 4, 0, 2, 2, 1, 0, 4, 2, 0, 0, 0, 0, 4, 4, 0, 0, 2, 3] pubkeycol1034 = [4, 0, 2, 3, 1, 2, 2, 4, 0, 3, 0, 3, 3, 3, 2, 2, 2, 3, 1, 2, 0, 2, 4, 0, 2, 3, 4, 3, 2, 0, 1, 3, 2, 2, 3, 0, 4, 2, 1, 1, 4, 4, 0, 4, 1, 0, 3, 0, 1, 2, 1, 4, 1, 3, 1, 1, 2, 4, 4, 2, 1, 2, 3, 1, 3, 0, 2, 4, 2, 1, 4, 3, 2, 1, 1, 0, 3, 0, 1, 3, 0, 0, 4, 1, 3, 1, 1, 4, 2, 0, 0, 4, 4, 0, 3, 1, 0, 2, 4, 0, 0, 3, 1, 1, 4, 1, 3, 3, 3, 4, 1, 4, 4, 2, 0, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 0, 0, 1, 2, 4, 2, 2, 2, 0, 3, 0, 1, 2, 3, 4, 2, 3, 4, 4, 2, 0, 0, 2, 0, 4, 2, 4, 2, 1, 2, 1, 0, 0, 2, 3, 1, 1, 2, 4, 1, 2, 1, 3, 3, 1, 3, 4, 4, 1, 0, 4, 1, 0, 0, 3, 1, 4, 0, 4, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 3, 0, 1, 3, 2, 1, 0, 0, 3, 0, 1, 2, 1, 0, 2, 4, 3, 2, 4, 2, 0, 1, 4, 4, 1, 4, 4, 4, 4, 1, 1, 0, 3, 2, 0, 1, 2, 1, 4, 3, 0, 3, 4, 2, 3, 3, 1, 0, 3, 3, 3, 1, 1, 3, 2, 0, 0, 0, 2, 0, 2, 2, 3, 4, 4, 1, 1, 3, 3, 4, 2, 1, 1, 2, 2, 0, 2, 4, 3, 3, 0, 0, 2, 2, 0, 3, 1, 0, 0, 1, 2, 4, 1, 4, 4, 0, 2, 4, 1, 0, 2, 0, 3, 4, 4, 4, 4, 3, 4, 2, 1, 0, 4, 2, 1, 1, 0, 0, 3, 2, 2, 1, 2, 4, 3, 3, 1, 0, 0, 0, 3, 2, 1, 0, 1, 3, 1, 4, 3, 0, 2, 3, 3, 2, 4, 3, 2, 3, 3, 0, 3, 4, 4, 0, 0, 2, 3, 4, 4, 1, 3, 3, 0, 2, 3, 0, 3, 1, 4, 0, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 4, 3, 4, 0, 3, 3, 3, 2, 0, 2, 0, 2, 4, 4, 0, 3, 2, 2, 1, 4, 0, 1, 0, 2, 2] pubkeycol1035 = [1, 2, 1, 2, 1, 0, 2, 3, 1, 3, 0, 4, 3, 2, 0, 0, 4, 2, 0, 0, 1, 3, 1, 0, 2, 4, 4, 3, 4, 0, 1, 3, 2, 4, 4, 1, 2, 4, 0, 3, 0, 2, 3, 0, 1, 4, 4, 1, 1, 2, 1, 0, 4, 0, 3, 2, 1, 4, 2, 0, 4, 3, 0, 0, 4, 0, 4, 4, 2, 3, 0, 2, 2, 1, 4, 4, 2, 1, 1, 3, 2, 1, 2, 4, 1, 1, 0, 4, 2, 0, 2, 1, 2, 1, 0, 4, 0, 2, 2, 4, 0, 2, 1, 3, 0, 1, 1, 4, 3, 2, 1, 3, 0, 0, 1, 4, 0, 2, 2, 1, 4, 4, 3, 0, 1, 2, 1, 1, 1, 2, 3, 3, 4, 3, 0, 3, 3, 3, 1, 2, 3, 3, 1, 1, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 3, 4, 1, 3, 2, 1, 4, 0, 1, 4, 1, 3, 4, 1, 4, 2, 3, 4, 3, 2, 4, 0, 3, 0, 2, 0, 1, 3, 1, 1, 4, 3, 1, 4, 1, 3, 1, 0, 1, 4, 4, 3, 0, 1, 0, 3, 3, 1, 0, 4, 3, 3, 1, 1, 1, 3, 4, 4, 2, 4, 0, 2, 3, 4, 0, 4, 4, 2, 3, 3, 3, 1, 4, 2, 2, 2, 3, 1, 3, 2, 2, 1, 2, 0, 2, 4, 3, 3, 3, 2, 0, 2, 4, 1, 2, 1, 2, 3, 4, 2, 3, 2, 3, 0, 4, 2, 2, 2, 0, 2, 1, 0, 0, 0, 4, 3, 2, 3, 3, 3, 1, 0, 3, 3, 2, 1, 2, 3, 4, 1, 0, 0, 0, 2, 3, 1, 4, 4, 3, 3, 3, 2, 3, 0, 1, 1, 3, 1, 4, 3, 2, 2, 0, 4, 1, 0, 4, 4, 0, 0, 0, 4, 2, 3, 1, 1, 3, 4, 0, 0, 2, 3, 3, 2, 0, 1, 4, 2, 0, 4, 3, 0, 2, 2, 1, 1, 0, 1, 4, 2, 1, 0, 4, 4, 4, 4, 4, 0, 4, 1, 2, 4, 3, 4, 0, 2, 2, 1, 0, 4, 1, 0, 0, 3, 0, 1, 0, 0, 2, 0, 1, 3, 4, 4, 4, 0, 4, 0, 2, 3, 3, 0, 1, 4, 4, 1, 4, 0, 0, 1, 3, 4, 4, 1, 0, 2] pubkeycol1036 = [3, 1, 4, 2, 1, 1, 0, 4, 0, 2, 2, 4, 1, 0, 3, 0, 3, 3, 4, 4, 0, 0, 1, 2, 2, 2, 3, 0, 4, 3, 1, 0, 3, 2, 2, 0, 2, 2, 2, 4, 1, 1, 3, 0, 1, 1, 0, 0, 0, 3, 4, 0, 3, 0, 4, 4, 2, 1, 3, 2, 3, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 3, 3, 2, 3, 0, 2, 0, 4, 4, 0, 1, 4, 3, 4, 2, 3, 2, 2, 4, 3, 2, 2, 0, 4, 1, 2, 1, 2, 2, 2, 2, 1, 4, 1, 2, 4, 1, 4, 2, 4, 3, 4, 0, 0, 3, 3, 4, 2, 1, 2, 1, 4, 0, 1, 2, 0, 2, 2, 3, 1, 2, 1, 4, 2, 4, 1, 1, 0, 0, 1, 1, 0, 4, 1, 0, 0, 1, 0, 3, 1, 2, 3, 2, 2, 1, 1, 0, 2, 2, 1, 4, 1, 4, 1, 1, 4, 0, 2, 4, 1, 0, 0, 0, 3, 3, 0, 1, 2, 2, 3, 4, 1, 4, 4, 3, 0, 2, 2, 1, 0, 3, 2, 4, 2, 0, 1, 0, 2, 2, 1, 3, 4, 0, 3, 0, 4, 1, 4, 4, 2, 0, 3, 3, 0, 4, 3, 1, 4, 2, 1, 0, 2, 4, 0, 4, 0, 0, 4, 0, 4, 4, 1, 4, 2, 0, 0, 0, 4, 3, 2, 2, 3, 4, 3, 2, 1, 2, 2, 2, 3, 1, 4, 2, 2, 1, 2, 4, 1, 2, 4, 4, 1, 4, 3, 3, 4, 3, 3, 0, 3, 1, 3, 2, 1, 0, 4, 3, 3, 3, 3, 2, 2, 2, 1, 2, 3, 3, 4, 4, 3, 1, 2, 2, 0, 2, 4, 4, 2, 1, 3, 0, 4, 4, 0, 1, 2, 0, 2, 4, 2, 1, 1, 0, 2, 2, 0, 4, 2, 0, 4, 1, 1, 0, 3, 0, 4, 2, 1, 2, 1, 4, 3, 1, 2, 4, 4, 1, 3, 2, 1, 1, 1, 1, 0, 3, 4, 2, 0, 4, 3, 2, 3, 2, 1, 0, 0, 3, 4, 0, 0, 1, 3, 4, 4, 1, 3, 3, 3, 3, 1, 4, 2, 2, 4, 3, 1, 3, 0, 3, 1, 1, 3, 3, 1, 2, 1, 0, 2, 0, 2, 2, 3, 0, 2, 1] pubkeycol1037 = [4, 1, 2, 0, 2, 4, 3, 0, 1, 4, 0, 1, 4, 4, 3, 3, 1, 1, 2, 3, 2, 4, 2, 4, 3, 1, 1, 4, 1, 4, 4, 4, 3, 4, 2, 4, 1, 0, 4, 0, 0, 0, 4, 1, 4, 4, 2, 4, 4, 3, 1, 1, 0, 0, 2, 1, 3, 3, 0, 3, 2, 3, 0, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 0, 1, 0, 0, 1, 0, 1, 3, 2, 1, 0, 3, 2, 0, 1, 2, 0, 3, 3, 2, 4, 3, 4, 0, 0, 1, 1, 0, 1, 2, 0, 1, 3, 1, 0, 0, 3, 1, 4, 1, 1, 3, 2, 2, 4, 0, 3, 0, 3, 0, 0, 3, 2, 2, 1, 0, 1, 3, 3, 1, 0, 2, 3, 4, 0, 0, 2, 4, 2, 0, 1, 3, 3, 2, 1, 3, 0, 0, 0, 4, 3, 4, 1, 2, 2, 3, 3, 0, 4, 0, 2, 1, 4, 4, 2, 2, 0, 1, 0, 2, 2, 4, 0, 1, 4, 0, 3, 0, 4, 3, 4, 3, 1, 3, 2, 0, 2, 1, 2, 2, 3, 2, 2, 4, 2, 4, 4, 4, 4, 0, 1, 1, 0, 2, 3, 1, 0, 3, 0, 0, 4, 3, 2, 0, 4, 1, 1, 4, 4, 3, 2, 4, 2, 4, 3, 4, 2, 1, 3, 2, 4, 2, 0, 3, 4, 2, 2, 4, 2, 2, 1, 1, 3, 2, 4, 2, 2, 3, 0, 4, 3, 3, 1, 4, 4, 2, 3, 1, 0, 0, 3, 0, 0, 0, 4, 0, 2, 2, 0, 2, 1, 1, 4, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 3, 2, 4, 3, 4, 4, 4, 2, 2, 2, 3, 0, 2, 0, 0, 1, 2, 2, 1, 0, 3, 0, 0, 2, 4, 1, 2, 4, 0, 2, 1, 3, 1, 1, 2, 1, 1, 1, 1, 4, 0, 3, 2, 1, 2, 3, 0, 0, 0, 3, 2, 2, 3, 1, 1, 2, 1, 4, 4, 3, 0, 3, 0, 4, 1, 2, 2, 4, 0, 2, 3, 1, 4, 1, 4, 3, 4, 0, 0, 4, 3, 4, 4, 2, 2, 0, 2, 3, 4, 1, 3, 4, 4, 0, 4, 3, 0, 3, 4, 4, 1, 0, 1, 3, 0, 1, 1, 4, 1, 2, 4] pubkeycol1038 = [0, 1, 2, 2, 3, 2, 0, 2, 2, 4, 0, 2, 3, 3, 0, 0, 1, 1, 1, 4, 1, 1, 0, 0, 0, 3, 0, 2, 3, 3, 4, 0, 1, 1, 3, 3, 0, 1, 2, 4, 2, 3, 4, 1, 2, 3, 3, 4, 3, 3, 3, 2, 3, 3, 1, 2, 0, 4, 2, 2, 4, 4, 2, 4, 4, 3, 3, 2, 0, 2, 3, 3, 4, 0, 1, 1, 4, 0, 3, 1, 1, 2, 4, 4, 4, 2, 2, 0, 0, 2, 0, 2, 2, 4, 2, 4, 1, 3, 2, 0, 3, 2, 2, 1, 4, 3, 0, 1, 2, 2, 3, 0, 0, 4, 1, 1, 2, 4, 1, 2, 4, 4, 3, 4, 4, 0, 1, 1, 2, 2, 0, 4, 3, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 1, 4, 3, 0, 4, 3, 4, 3, 4, 2, 2, 4, 0, 0, 4, 0, 3, 3, 4, 0, 4, 4, 2, 4, 3, 0, 0, 3, 0, 3, 0, 1, 2, 4, 1, 4, 0, 3, 3, 0, 0, 4, 2, 3, 3, 3, 3, 4, 1, 0, 0, 3, 4, 3, 0, 0, 0, 1, 1, 1, 2, 4, 0, 0, 2, 0, 2, 3, 3, 2, 2, 2, 4, 0, 0, 2, 2, 3, 0, 3, 4, 3, 4, 2, 1, 0, 3, 1, 0, 2, 1, 4, 2, 1, 1, 0, 0, 2, 4, 2, 0, 1, 1, 3, 3, 3, 0, 3, 3, 3, 1, 1, 4, 2, 4, 1, 0, 0, 1, 0, 4, 1, 3, 3, 0, 3, 0, 0, 0, 4, 3, 3, 1, 1, 4, 1, 0, 4, 0, 2, 3, 4, 3, 0, 0, 3, 1, 0, 4, 2, 0, 4, 2, 4, 2, 0, 3, 3, 2, 4, 0, 4, 2, 2, 2, 4, 1, 3, 4, 1, 3, 2, 2, 0, 3, 2, 1, 2, 4, 1, 3, 0, 0, 2, 0, 1, 0, 4, 0, 0, 0, 1, 4, 1, 2, 4, 0, 4, 2, 1, 1, 4, 3, 1, 1, 4, 4, 0, 1, 4, 1, 1, 0, 0, 4, 2, 4, 4, 2, 3, 1, 2, 0, 4, 3, 0, 4, 0, 2, 0, 0, 4, 3, 3, 4, 2, 3, 1, 3, 1, 4, 1, 4, 2, 0, 4, 1, 1, 2, 4, 2, 1, 3, 0, 2, 1, 0] pubkeycol1039 = [1, 2, 4, 3, 0, 4, 4, 4, 0, 1, 4, 4, 3, 0, 4, 0, 1, 1, 2, 3, 3, 0, 1, 2, 0, 3, 0, 4, 4, 0, 4, 4, 0, 3, 2, 1, 2, 3, 2, 4, 1, 3, 4, 2, 1, 2, 3, 3, 4, 4, 3, 1, 0, 2, 0, 3, 2, 1, 3, 3, 2, 1, 2, 4, 0, 2, 0, 4, 0, 0, 4, 0, 4, 3, 0, 0, 4, 0, 0, 0, 0, 4, 3, 3, 0, 2, 4, 1, 1, 3, 2, 2, 1, 3, 4, 4, 2, 1, 0, 3, 4, 4, 3, 3, 2, 0, 1, 2, 2, 3, 4, 3, 3, 2, 1, 1, 4, 0, 4, 0, 1, 3, 1, 4, 2, 0, 2, 2, 0, 0, 3, 2, 1, 2, 0, 0, 3, 3, 1, 1, 0, 3, 0, 0, 2, 0, 0, 4, 1, 1, 2, 3, 1, 2, 0, 2, 3, 1, 1, 1, 3, 1, 2, 0, 0, 2, 2, 0, 4, 1, 3, 2, 2, 1, 2, 4, 1, 2, 2, 2, 0, 4, 0, 2, 4, 2, 4, 3, 0, 1, 0, 4, 1, 1, 1, 0, 4, 1, 2, 4, 2, 0, 0, 0, 3, 0, 4, 3, 0, 3, 2, 2, 1, 1, 3, 3, 1, 2, 4, 1, 4, 2, 4, 1, 1, 1, 3, 1, 0, 3, 2, 4, 0, 1, 2, 2, 0, 1, 4, 3, 0, 4, 0, 4, 1, 3, 4, 2, 4, 4, 1, 2, 1, 2, 0, 4, 3, 3, 2, 2, 2, 1, 4, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 4, 1, 1, 1, 3, 4, 4, 3, 2, 1, 0, 2, 2, 4, 2, 3, 0, 2, 4, 0, 2, 2, 4, 1, 4, 2, 1, 3, 0, 4, 0, 2, 4, 0, 2, 0, 1, 2, 0, 2, 3, 3, 0, 0, 2, 4, 1, 4, 1, 4, 4, 1, 2, 3, 0, 2, 0, 1, 2, 2, 1, 2, 3, 0, 0, 0, 1, 0, 3, 0, 4, 4, 4, 4, 4, 0, 1, 0, 1, 0, 4, 4, 1, 2, 3, 3, 1, 4, 4, 0, 2, 2, 1, 1, 3, 0, 3, 0, 4, 2, 2, 4, 0, 1, 2, 1, 3, 3, 3, 3, 0, 4, 2, 1, 0, 2, 2, 1, 2, 4, 0, 2, 3, 1, 3, 3, 2] pubkeycol1040 = [3, 1, 4, 4, 3, 3, 1, 4, 0, 0, 3, 0, 1, 2, 1, 1, 0, 1, 3, 0, 3, 2, 4, 2, 3, 0, 2, 1, 2, 2, 4, 3, 0, 2, 3, 1, 4, 4, 0, 4, 3, 0, 1, 4, 2, 1, 3, 0, 3, 2, 1, 2, 0, 1, 2, 0, 4, 3, 1, 1, 1, 1, 3, 0, 1, 4, 4, 4, 0, 0, 4, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 3, 3, 1, 2, 3, 3, 1, 2, 0, 2, 0, 1, 1, 4, 0, 1, 3, 1, 2, 4, 2, 1, 1, 2, 1, 3, 0, 3, 2, 4, 4, 3, 2, 0, 1, 3, 0, 2, 1, 1, 0, 2, 4, 0, 4, 3, 3, 3, 1, 4, 2, 2, 2, 3, 4, 2, 3, 1, 3, 3, 4, 1, 2, 2, 4, 2, 3, 3, 0, 2, 3, 1, 4, 2, 0, 3, 1, 3, 2, 2, 3, 3, 4, 3, 0, 4, 4, 4, 0, 4, 1, 0, 1, 0, 2, 0, 1, 3, 2, 1, 1, 2, 4, 1, 1, 4, 1, 2, 0, 2, 3, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 3, 0, 1, 0, 0, 4, 1, 0, 4, 2, 1, 0, 3, 2, 0, 4, 1, 0, 1, 0, 3, 3, 4, 1, 3, 2, 1, 4, 2, 3, 1, 1, 1, 3, 0, 0, 4, 3, 2, 4, 4, 2, 1, 4, 2, 1, 3, 0, 3, 0, 1, 0, 0, 1, 4, 1, 4, 3, 0, 3, 4, 3, 1, 1, 0, 2, 2, 4, 3, 0, 1, 0, 0, 4, 4, 2, 4, 2, 1, 2, 4, 2, 3, 2, 2, 3, 4, 4, 2, 0, 4, 2, 0, 2, 2, 0, 0, 1, 4, 1, 2, 4, 0, 2, 0, 4, 0, 3, 3, 3, 0, 0, 3, 0, 3, 2, 4, 3, 0, 3, 4, 2, 1, 2, 1, 4, 4, 2, 4, 4, 4, 1, 2, 0, 0, 0, 3, 4, 0, 4, 0, 0, 1, 0, 4, 2, 1, 4, 2, 3, 2, 1, 3, 3, 4, 0, 1, 2, 4, 4, 1, 1, 3, 0, 0, 3, 0, 0, 3, 0, 1, 0, 2, 4, 4, 1, 4, 1, 3, 4, 4, 4, 3, 3, 0, 1, 4, 2, 2, 4, 2, 4, 2, 2, 4, 2, 0, 0] pubkeycol1041 = [1, 0, 3, 1, 1, 0, 3, 4, 4, 4, 4, 0, 3, 0, 2, 1, 1, 3, 4, 4, 4, 4, 3, 4, 3, 1, 1, 0, 4, 2, 4, 1, 4, 0, 2, 2, 1, 0, 3, 1, 3, 0, 0, 0, 1, 0, 4, 1, 1, 0, 4, 3, 2, 1, 2, 0, 2, 1, 1, 1, 4, 1, 3, 3, 2, 1, 2, 3, 0, 1, 4, 4, 1, 4, 4, 3, 1, 2, 0, 1, 0, 4, 0, 1, 4, 3, 2, 3, 3, 0, 2, 3, 0, 2, 0, 4, 0, 1, 0, 4, 2, 3, 2, 1, 0, 1, 1, 2, 3, 1, 4, 3, 3, 1, 4, 2, 2, 0, 4, 2, 0, 0, 2, 1, 4, 2, 2, 1, 0, 2, 3, 3, 2, 4, 2, 2, 1, 0, 0, 4, 1, 3, 1, 4, 3, 1, 4, 1, 3, 3, 0, 4, 1, 1, 0, 3, 1, 3, 3, 1, 4, 1, 3, 1, 3, 4, 1, 3, 1, 2, 3, 2, 2, 0, 2, 2, 3, 1, 0, 2, 3, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 3, 0, 2, 3, 1, 1, 2, 2, 4, 2, 2, 3, 3, 0, 3, 2, 0, 0, 3, 4, 3, 3, 1, 0, 3, 0, 0, 1, 2, 2, 0, 1, 2, 2, 3, 2, 0, 1, 2, 1, 4, 1, 2, 4, 2, 4, 3, 0, 1, 2, 3, 4, 1, 3, 4, 4, 0, 0, 3, 3, 2, 0, 1, 4, 3, 0, 3, 4, 1, 3, 3, 0, 4, 2, 4, 4, 4, 2, 1, 2, 2, 3, 4, 3, 1, 4, 0, 2, 3, 3, 3, 0, 2, 4, 4, 4, 3, 4, 4, 1, 2, 0, 3, 4, 2, 3, 2, 2, 2, 0, 0, 1, 1, 0, 3, 2, 3, 3, 1, 0, 3, 4, 2, 3, 1, 3, 1, 3, 1, 4, 2, 4, 4, 0, 3, 2, 4, 4, 0, 2, 3, 0, 1, 3, 2, 4, 0, 4, 3, 3, 4, 1, 0, 2, 2, 2, 2, 4, 3, 2, 2, 1, 3, 3, 4, 3, 1, 3, 1, 4, 1, 1, 2, 4, 4, 1, 2, 0, 0, 2, 4, 4, 0, 0, 2, 4, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 3, 1, 1, 2, 0, 3, 4] pubkeycol1042 = [0, 3, 1, 4, 1, 2, 4, 2, 3, 1, 2, 1, 1, 3, 2, 0, 2, 4, 3, 1, 1, 0, 4, 0, 1, 0, 2, 4, 2, 4, 3, 3, 4, 2, 3, 3, 1, 0, 4, 2, 1, 0, 4, 0, 1, 2, 2, 2, 2, 2, 4, 1, 2, 2, 3, 2, 3, 4, 4, 4, 2, 3, 2, 3, 0, 2, 4, 4, 3, 4, 1, 0, 2, 0, 3, 1, 3, 2, 2, 2, 0, 1, 1, 4, 1, 4, 3, 4, 4, 3, 0, 2, 4, 2, 2, 4, 3, 3, 0, 1, 3, 1, 4, 4, 3, 3, 3, 4, 4, 3, 4, 1, 4, 4, 2, 4, 4, 4, 1, 1, 2, 1, 3, 1, 0, 4, 2, 2, 2, 3, 2, 3, 1, 1, 1, 3, 4, 1, 3, 4, 3, 1, 1, 1, 4, 2, 3, 2, 3, 3, 4, 2, 4, 1, 4, 4, 2, 0, 0, 1, 4, 1, 4, 3, 4, 0, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 0, 1, 4, 0, 3, 4, 4, 3, 2, 4, 1, 1, 3, 3, 2, 1, 1, 0, 3, 3, 1, 3, 1, 4, 4, 4, 1, 4, 4, 1, 2, 2, 2, 0, 4, 3, 1, 2, 1, 4, 2, 4, 0, 1, 3, 0, 4, 2, 3, 3, 0, 3, 3, 3, 0, 1, 0, 2, 4, 1, 0, 4, 4, 4, 4, 3, 2, 4, 1, 2, 0, 2, 4, 1, 2, 2, 0, 3, 2, 0, 0, 3, 3, 2, 4, 2, 0, 0, 4, 3, 0, 2, 4, 2, 4, 0, 2, 3, 2, 4, 4, 1, 1, 1, 3, 0, 2, 0, 1, 2, 1, 0, 0, 1, 3, 4, 4, 4, 0, 4, 0, 3, 4, 4, 0, 4, 4, 1, 2, 0, 1, 3, 1, 0, 2, 2, 2, 2, 2, 4, 3, 0, 2, 0, 0, 3, 0, 0, 0, 2, 2, 2, 4, 3, 3, 4, 1, 1, 0, 1, 0, 2, 2, 1, 1, 4, 1, 4, 2, 1, 0, 0, 3, 1, 0, 4, 0, 3, 0, 2, 2, 1, 0, 1, 1, 1, 3, 4, 3, 1, 1, 2, 2, 3, 0, 4, 4, 4, 1, 1, 3, 3, 3, 2, 0, 3, 2, 4, 3, 0, 1, 2, 3, 0, 0, 2, 0, 3, 3, 2, 3, 3, 3, 4] pubkeycol1043 = [1, 4, 1, 1, 3, 1, 0, 3, 1, 4, 1, 0, 1, 3, 0, 4, 3, 2, 0, 3, 3, 3, 2, 2, 2, 3, 4, 1, 2, 0, 1, 2, 3, 3, 4, 4, 4, 0, 0, 4, 1, 4, 4, 1, 4, 2, 1, 3, 4, 4, 3, 0, 4, 1, 1, 3, 1, 2, 4, 3, 4, 4, 4, 3, 4, 2, 2, 1, 3, 2, 3, 2, 1, 3, 4, 0, 1, 1, 4, 4, 2, 3, 1, 3, 4, 1, 0, 4, 1, 3, 1, 4, 0, 4, 4, 0, 0, 3, 2, 4, 0, 4, 2, 0, 2, 1, 0, 2, 4, 2, 0, 1, 4, 2, 0, 2, 0, 3, 1, 3, 2, 3, 4, 4, 2, 0, 2, 3, 1, 1, 0, 4, 2, 3, 2, 4, 0, 2, 1, 2, 0, 3, 2, 0, 4, 3, 0, 3, 0, 3, 2, 2, 2, 1, 0, 0, 3, 4, 4, 3, 3, 2, 1, 0, 3, 0, 4, 4, 0, 2, 2, 4, 3, 1, 1, 3, 2, 2, 3, 3, 0, 2, 4, 3, 1, 0, 3, 2, 0, 2, 1, 3, 1, 0, 4, 3, 3, 1, 1, 4, 2, 2, 1, 2, 3, 2, 2, 3, 3, 4, 1, 3, 2, 1, 4, 4, 2, 3, 1, 0, 1, 1, 4, 4, 0, 1, 4, 2, 3, 2, 3, 0, 4, 1, 2, 4, 1, 4, 1, 2, 0, 0, 3, 1, 3, 0, 2, 0, 4, 3, 3, 3, 1, 4, 0, 1, 3, 3, 4, 3, 4, 3, 2, 1, 4, 1, 2, 1, 3, 0, 4, 3, 4, 0, 0, 3, 2, 0, 4, 1, 2, 4, 2, 1, 4, 3, 1, 3, 0, 4, 0, 0, 3, 2, 0, 0, 2, 2, 0, 4, 1, 3, 0, 2, 4, 1, 2, 2, 0, 1, 0, 0, 0, 2, 3, 3, 4, 4, 0, 4, 0, 0, 4, 0, 3, 3, 0, 4, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 3, 2, 2, 2, 3, 4, 2, 3, 2, 2, 0, 2, 0, 2, 3, 1, 4, 4, 3, 3, 0, 3, 2, 4, 4, 4, 3, 1, 3, 3, 3, 1, 0, 0, 2, 1, 3, 2, 4, 3, 2, 0, 3, 3, 1, 4, 3, 3, 0, 4, 2, 0, 3, 2, 4, 3, 4, 2, 2] pubkeycol1044 = [0, 2, 4, 3, 2, 2, 3, 4, 2, 1, 4, 3, 2, 4, 4, 3, 4, 1, 4, 3, 3, 2, 0, 2, 2, 0, 0, 0, 0, 3, 1, 4, 4, 0, 3, 4, 2, 2, 2, 3, 3, 2, 2, 2, 2, 4, 0, 3, 2, 4, 3, 3, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 4, 1, 0, 2, 1, 4, 4, 1, 3, 1, 4, 2, 2, 4, 4, 3, 1, 2, 0, 0, 3, 3, 4, 4, 0, 2, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 1, 4, 3, 0, 0, 0, 4, 4, 2, 4, 3, 3, 0, 3, 1, 4, 4, 2, 4, 1, 1, 3, 2, 4, 3, 2, 1, 3, 2, 0, 3, 1, 2, 4, 4, 1, 4, 0, 0, 3, 3, 4, 1, 2, 3, 1, 4, 3, 0, 0, 0, 1, 3, 3, 4, 2, 1, 2, 1, 3, 2, 1, 2, 0, 2, 2, 2, 4, 2, 2, 3, 3, 0, 1, 3, 2, 2, 0, 3, 1, 4, 1, 2, 1, 1, 4, 1, 2, 1, 3, 2, 1, 4, 3, 3, 1, 4, 3, 4, 4, 1, 1, 2, 4, 3, 0, 0, 3, 2, 1, 1, 3, 4, 1, 3, 3, 3, 4, 1, 0, 0, 3, 0, 2, 0, 2, 0, 3, 4, 0, 0, 4, 2, 4, 4, 0, 4, 0, 0, 1, 3, 4, 4, 0, 3, 1, 3, 4, 2, 1, 1, 1, 4, 1, 2, 0, 4, 3, 2, 0, 2, 1, 2, 1, 1, 2, 2, 4, 2, 3, 0, 2, 1, 2, 4, 4, 2, 1, 2, 4, 3, 0, 0, 1, 3, 4, 0, 1, 1, 0, 2, 0, 0, 1, 4, 0, 1, 1, 4, 1, 0, 2, 0, 4, 2, 3, 1, 3, 3, 1, 3, 1, 4, 1, 0, 4, 1, 0, 1, 3, 3, 1, 0, 3, 1, 0, 0, 2, 4, 3, 0, 0, 2, 0, 4, 4, 1, 0, 4, 3, 2, 3, 0, 4, 0, 3, 0, 1, 2, 2, 1, 0, 2, 2, 3, 1, 1, 0, 3, 4, 4, 0, 4, 3, 3, 2, 0, 3, 4, 4, 2, 2, 1, 0, 1, 1, 0, 2, 3, 4, 3, 4, 3, 2, 1, 2, 2, 1, 1, 4, 2, 0, 4, 1, 4, 0, 1, 1, 1, 0, 1, 2] pubkeycol1045 = [4, 1, 1, 2, 4, 3, 2, 3, 2, 3, 2, 1, 4, 2, 2, 1, 4, 1, 1, 0, 0, 4, 3, 3, 3, 4, 1, 1, 3, 0, 1, 0, 1, 3, 1, 1, 2, 4, 1, 3, 2, 4, 4, 4, 3, 0, 3, 3, 0, 0, 2, 2, 2, 3, 0, 3, 4, 2, 2, 4, 1, 1, 2, 4, 0, 4, 1, 0, 3, 0, 0, 4, 3, 2, 4, 1, 0, 1, 4, 1, 4, 1, 2, 3, 2, 4, 0, 2, 0, 1, 3, 0, 3, 1, 0, 2, 2, 3, 3, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 3, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 2, 4, 3, 0, 2, 4, 0, 3, 2, 3, 2, 1, 0, 1, 2, 1, 0, 3, 3, 4, 4, 4, 4, 4, 2, 2, 3, 4, 0, 0, 0, 4, 0, 3, 3, 4, 1, 3, 3, 1, 1, 0, 0, 3, 3, 0, 1, 1, 0, 3, 3, 4, 2, 2, 2, 4, 3, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 3, 2, 2, 3, 4, 3, 4, 0, 1, 3, 2, 1, 3, 3, 4, 4, 3, 1, 4, 3, 3, 4, 4, 2, 3, 4, 4, 1, 0, 3, 1, 4, 3, 0, 3, 1, 2, 1, 2, 4, 2, 0, 1, 0, 0, 4, 4, 0, 2, 2, 2, 0, 3, 1, 0, 0, 1, 3, 1, 3, 4, 4, 4, 3, 0, 3, 3, 3, 4, 1, 2, 0, 0, 3, 3, 2, 3, 1, 2, 1, 1, 4, 3, 2, 1, 1, 4, 2, 2, 1, 0, 0, 4, 3, 4, 1, 1, 0, 3, 1, 3, 2, 1, 3, 0, 0, 3, 2, 1, 4, 4, 0, 3, 4, 4, 3, 3, 3, 4, 3, 4, 2, 1, 1, 4, 3, 4, 3, 3, 1, 4, 0, 0, 1, 1, 0, 3, 4, 3, 0, 2, 1, 2, 3, 4, 2, 1, 0, 0, 4, 2, 1, 1, 2, 0, 0, 0, 4, 4, 3, 2, 3, 4, 4, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 3, 3, 1, 4, 0, 2, 1, 3, 4, 1, 1, 1, 4, 3, 2, 4, 3, 0, 1, 2, 3, 4, 2, 4, 2, 0, 1, 1, 2, 3, 3] pubkeycol1046 = [3, 2, 1, 2, 1, 0, 0, 0, 4, 0, 1, 1, 1, 3, 4, 4, 3, 2, 2, 0, 1, 1, 2, 2, 4, 0, 2, 4, 1, 0, 2, 4, 4, 0, 2, 3, 0, 0, 2, 0, 0, 3, 1, 3, 0, 1, 4, 3, 2, 2, 4, 4, 3, 0, 4, 2, 4, 1, 4, 3, 1, 4, 1, 1, 1, 4, 2, 1, 4, 2, 3, 1, 2, 3, 2, 3, 4, 3, 4, 2, 2, 3, 1, 0, 1, 2, 1, 2, 4, 0, 3, 2, 0, 4, 2, 2, 3, 2, 3, 4, 1, 2, 1, 1, 1, 0, 4, 0, 1, 4, 4, 2, 2, 3, 3, 0, 1, 0, 1, 3, 1, 4, 2, 2, 0, 0, 2, 3, 0, 2, 3, 0, 2, 0, 3, 4, 0, 4, 1, 1, 4, 3, 2, 0, 1, 3, 2, 4, 4, 1, 2, 4, 2, 2, 2, 2, 4, 3, 3, 1, 2, 1, 0, 1, 0, 1, 4, 0, 0, 1, 2, 4, 1, 3, 1, 4, 1, 0, 4, 2, 2, 2, 3, 2, 1, 4, 2, 4, 0, 1, 1, 0, 3, 3, 4, 1, 3, 0, 2, 2, 0, 4, 3, 4, 0, 4, 3, 0, 4, 3, 2, 1, 0, 1, 0, 4, 0, 0, 0, 4, 2, 0, 4, 4, 1, 0, 1, 2, 2, 1, 3, 3, 0, 0, 4, 4, 1, 1, 4, 4, 2, 1, 1, 2, 1, 3, 2, 1, 2, 2, 3, 4, 2, 0, 4, 1, 0, 2, 3, 1, 1, 1, 2, 4, 0, 1, 4, 0, 0, 2, 1, 4, 1, 0, 1, 3, 3, 3, 2, 0, 3, 3, 3, 4, 3, 2, 0, 2, 1, 0, 1, 1, 4, 0, 3, 3, 0, 1, 3, 3, 1, 3, 2, 3, 3, 0, 2, 2, 3, 1, 4, 1, 1, 4, 1, 0, 4, 0, 0, 3, 3, 2, 3, 1, 2, 4, 4, 0, 0, 2, 0, 4, 2, 0, 1, 2, 3, 3, 0, 4, 2, 2, 4, 2, 1, 4, 2, 4, 2, 1, 1, 3, 4, 1, 3, 2, 3, 0, 2, 2, 2, 3, 3, 3, 2, 2, 4, 3, 2, 3, 4, 1, 3, 2, 3, 4, 2, 4, 0, 1, 0, 2, 4, 3, 1, 3, 3, 3, 4, 4, 1, 2, 3, 2, 0, 0, 3, 4, 1, 0] pubkeycol1047 = [1, 1, 1, 0, 4, 2, 3, 4, 0, 1, 2, 2, 3, 2, 4, 1, 1, 4, 0, 1, 4, 3, 3, 3, 4, 0, 2, 0, 2, 4, 0, 4, 4, 4, 2, 1, 3, 1, 0, 3, 0, 4, 1, 2, 0, 3, 4, 2, 2, 1, 0, 1, 4, 2, 4, 0, 1, 0, 1, 2, 1, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 4, 2, 4, 0, 0, 0, 3, 1, 0, 3, 3, 1, 1, 0, 4, 2, 3, 1, 1, 0, 2, 0, 4, 3, 4, 4, 2, 3, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 3, 3, 4, 1, 2, 3, 2, 4, 4, 2, 0, 0, 0, 1, 3, 3, 3, 3, 0, 3, 2, 0, 1, 0, 2, 2, 0, 4, 1, 1, 3, 1, 4, 3, 0, 4, 2, 3, 4, 3, 1, 2, 4, 2, 0, 2, 2, 0, 1, 2, 1, 4, 4, 3, 0, 0, 1, 1, 4, 0, 3, 4, 1, 2, 1, 2, 4, 4, 2, 2, 3, 4, 2, 2, 3, 3, 0, 1, 4, 0, 1, 4, 3, 4, 2, 0, 1, 0, 1, 3, 1, 0, 4, 4, 0, 0, 3, 3, 2, 2, 4, 0, 4, 1, 1, 4, 3, 1, 4, 1, 0, 0, 3, 4, 3, 2, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 3, 0, 3, 0, 3, 4, 1, 2, 2, 2, 1, 4, 2, 3, 4, 3, 1, 0, 3, 4, 4, 3, 0, 2, 3, 4, 4, 3, 0, 2, 4, 0, 1, 1, 2, 1, 1, 4, 0, 0, 0, 1, 3, 1, 4, 0, 2, 1, 2, 1, 1, 4, 1, 4, 1, 3, 1, 0, 3, 3, 2, 3, 2, 1, 1, 4, 2, 3, 3, 3, 0, 2, 3, 0, 4, 1, 3, 4, 2, 3, 3, 3, 2, 2, 2, 3, 0, 2, 2, 3, 3, 1, 1, 4, 4, 3, 3, 4, 4, 3, 3, 3, 2, 2, 2, 3, 2, 1, 4, 2, 0, 2, 1, 3, 3, 2, 2, 4, 4, 2, 3, 4, 3, 1, 0, 3, 4, 4, 4, 0, 0, 2, 0, 1, 1, 3, 3, 4, 3, 0, 2, 4, 3, 3, 0, 0, 3, 0, 2, 2, 3, 0, 2, 3, 4, 0, 3, 4, 3, 4, 4, 1] pubkeycol1048 = [1, 4, 1, 4, 3, 1, 1, 3, 3, 2, 0, 3, 4, 2, 0, 3, 4, 4, 1, 0, 2, 1, 4, 2, 4, 3, 3, 2, 1, 2, 0, 3, 4, 3, 3, 0, 2, 0, 0, 1, 2, 1, 3, 3, 2, 4, 2, 2, 0, 1, 3, 1, 4, 4, 4, 1, 0, 0, 0, 4, 3, 4, 4, 2, 3, 0, 3, 4, 2, 2, 4, 1, 3, 2, 2, 3, 4, 4, 2, 1, 4, 0, 0, 3, 3, 2, 4, 4, 0, 2, 4, 0, 2, 0, 0, 0, 3, 0, 1, 2, 2, 3, 0, 2, 0, 1, 1, 1, 3, 4, 3, 1, 3, 4, 2, 4, 3, 0, 1, 4, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 0, 4, 3, 2, 1, 0, 1, 4, 0, 3, 4, 4, 4, 3, 4, 1, 2, 3, 2, 1, 4, 1, 4, 3, 1, 1, 0, 4, 0, 4, 4, 2, 4, 3, 2, 0, 2, 0, 1, 0, 3, 1, 0, 4, 2, 4, 2, 1, 0, 4, 2, 0, 0, 0, 1, 3, 3, 1, 0, 4, 4, 1, 4, 2, 1, 4, 3, 4, 3, 2, 1, 2, 2, 1, 2, 1, 1, 0, 4, 4, 1, 3, 3, 0, 2, 2, 1, 4, 3, 0, 2, 0, 4, 1, 2, 2, 1, 1, 0, 0, 4, 4, 4, 4, 2, 3, 1, 3, 4, 3, 2, 3, 4, 4, 3, 0, 4, 4, 1, 2, 1, 1, 3, 4, 1, 1, 0, 2, 0, 0, 1, 4, 0, 4, 4, 0, 3, 0, 2, 2, 0, 3, 0, 1, 4, 1, 4, 3, 4, 3, 0, 3, 1, 3, 1, 4, 1, 4, 4, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 3, 1, 1, 2, 2, 1, 3, 2, 3, 2, 0, 1, 0, 3, 4, 2, 0, 2, 2, 3, 4, 4, 2, 1, 1, 0, 1, 1, 3, 1, 3, 0, 3, 4, 1, 0, 3, 1, 0, 1, 3, 2, 0, 4, 4, 2, 4, 3, 3, 3, 0, 1, 1, 0, 2, 2, 0, 0, 4, 3, 1, 0, 3, 2, 4, 0, 1, 2, 2, 3, 2, 3, 3, 3, 4, 1, 2, 1, 3, 4, 3, 1, 1, 3, 2, 1, 3, 1, 1, 2, 0, 1, 4, 3, 2, 3, 2, 1, 0, 0] pubkeycol1049 = [1, 2, 1, 0, 2, 2, 2, 3, 1, 1, 4, 0, 0, 4, 3, 0, 0, 1, 1, 0, 1, 4, 1, 0, 0, 4, 2, 1, 0, 3, 3, 4, 0, 4, 3, 1, 4, 3, 0, 0, 0, 0, 3, 0, 4, 3, 0, 2, 3, 2, 4, 0, 4, 4, 0, 4, 2, 1, 2, 1, 2, 1, 2, 4, 0, 3, 2, 1, 4, 1, 1, 0, 2, 3, 2, 4, 3, 3, 4, 3, 2, 3, 4, 4, 1, 2, 1, 3, 3, 4, 1, 0, 1, 3, 0, 1, 0, 4, 2, 3, 3, 2, 3, 0, 0, 2, 1, 1, 4, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 4, 4, 0, 2, 4, 4, 4, 3, 1, 3, 1, 0, 4, 2, 2, 4, 4, 3, 3, 1, 2, 4, 3, 0, 1, 3, 1, 4, 4, 3, 1, 1, 4, 4, 4, 4, 3, 3, 2, 0, 2, 2, 4, 0, 2, 2, 1, 4, 0, 0, 0, 3, 0, 2, 0, 1, 3, 1, 1, 4, 0, 0, 4, 0, 1, 3, 2, 1, 4, 4, 2, 0, 0, 3, 4, 3, 4, 3, 0, 4, 4, 0, 4, 3, 1, 0, 2, 1, 0, 3, 3, 0, 1, 1, 1, 1, 4, 0, 3, 3, 0, 2, 3, 1, 0, 0, 1, 3, 2, 1, 0, 1, 2, 2, 3, 3, 2, 1, 4, 0, 2, 4, 2, 2, 0, 2, 1, 4, 3, 2, 1, 0, 2, 3, 3, 1, 0, 2, 1, 3, 3, 4, 3, 3, 3, 2, 2, 2, 0, 2, 1, 3, 3, 4, 4, 3, 2, 0, 1, 3, 3, 2, 0, 0, 1, 2, 1, 3, 4, 1, 3, 1, 1, 3, 4, 3, 3, 2, 1, 0, 0, 3, 3, 1, 4, 1, 0, 2, 1, 3, 1, 0, 1, 3, 1, 3, 2, 0, 2, 2, 3, 3, 3, 4, 3, 0, 1, 3, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 3, 4, 0, 3, 2, 1, 0, 3, 3, 4, 1, 0, 1, 1, 4, 3, 3, 4, 3, 2, 1, 4, 3, 3, 4, 4, 2, 4, 2, 3, 0, 1, 0, 0, 3, 2, 0, 1, 2, 2, 1, 3, 1, 4, 3, 3, 0, 2, 3, 2, 3, 4, 0, 4] pubkeycol1050 = [1, 1, 3, 0, 2, 4, 1, 1, 1, 4, 2, 4, 3, 2, 2, 3, 1, 4, 2, 2, 0, 4, 4, 2, 3, 2, 4, 2, 0, 2, 3, 4, 0, 1, 3, 1, 0, 0, 1, 3, 3, 2, 4, 0, 4, 2, 3, 4, 0, 4, 2, 4, 4, 3, 3, 4, 3, 4, 1, 0, 0, 1, 2, 2, 2, 1, 4, 2, 2, 2, 4, 2, 1, 4, 0, 3, 0, 3, 4, 2, 3, 4, 4, 3, 3, 2, 1, 3, 3, 2, 2, 2, 2, 4, 2, 1, 1, 1, 0, 3, 3, 3, 0, 4, 4, 1, 3, 0, 1, 2, 4, 4, 3, 2, 4, 1, 3, 1, 1, 3, 4, 0, 4, 3, 2, 4, 4, 4, 0, 3, 4, 3, 4, 0, 4, 1, 4, 4, 0, 2, 4, 2, 3, 2, 0, 2, 1, 3, 0, 2, 2, 3, 4, 4, 0, 4, 4, 0, 4, 3, 2, 2, 0, 1, 3, 3, 3, 4, 2, 3, 1, 1, 1, 1, 3, 4, 0, 3, 4, 4, 2, 4, 2, 1, 0, 2, 0, 3, 1, 3, 0, 3, 2, 4, 1, 0, 2, 1, 0, 1, 3, 2, 1, 0, 1, 3, 0, 2, 4, 4, 1, 0, 3, 2, 1, 0, 1, 4, 1, 2, 0, 4, 3, 3, 3, 2, 3, 2, 4, 1, 1, 4, 0, 0, 0, 2, 4, 4, 3, 4, 0, 3, 0, 2, 3, 1, 2, 0, 1, 1, 1, 3, 4, 3, 1, 1, 1, 0, 1, 2, 0, 3, 3, 0, 1, 0, 2, 3, 1, 1, 2, 4, 4, 2, 0, 3, 2, 0, 2, 0, 4, 2, 1, 1, 3, 2, 3, 4, 1, 0, 3, 2, 3, 3, 2, 1, 0, 4, 2, 4, 1, 4, 2, 3, 3, 1, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 4, 2, 1, 3, 0, 4, 0, 0, 4, 4, 0, 3, 2, 1, 4, 0, 4, 1, 1, 2, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 0, 2, 3, 0, 1, 4, 0, 0, 1, 3, 2, 1, 1, 3, 2, 4, 3, 0, 2, 3, 2, 4, 0, 0, 4, 0, 0, 4, 1, 3, 2, 1, 0, 1, 4, 0, 0, 4, 3, 1, 0, 2, 4, 0, 3, 3, 2, 4, 1, 4, 1, 4] pubkeycol1051 = [2, 2, 2, 4, 4, 1, 1, 0, 0, 3, 4, 2, 2, 4, 4, 0, 0, 3, 1, 1, 3, 0, 1, 0, 3, 3, 2, 3, 3, 3, 4, 1, 2, 4, 4, 1, 2, 2, 2, 4, 0, 1, 4, 3, 3, 2, 3, 4, 3, 2, 1, 1, 0, 0, 0, 1, 4, 1, 4, 1, 1, 3, 4, 0, 1, 1, 3, 4, 2, 3, 4, 1, 3, 4, 0, 4, 4, 1, 4, 2, 4, 1, 3, 4, 0, 2, 4, 2, 1, 4, 1, 2, 4, 4, 0, 2, 2, 4, 0, 4, 0, 1, 4, 0, 0, 2, 0, 0, 4, 2, 4, 0, 1, 1, 1, 2, 2, 3, 1, 4, 1, 0, 1, 3, 4, 0, 3, 2, 4, 2, 0, 0, 3, 3, 1, 1, 4, 1, 4, 0, 0, 1, 1, 4, 1, 4, 3, 1, 2, 1, 0, 2, 4, 4, 1, 0, 2, 4, 3, 4, 1, 1, 2, 1, 4, 1, 3, 3, 3, 4, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 1, 1, 4, 3, 3, 2, 3, 1, 3, 0, 2, 3, 4, 0, 3, 2, 2, 1, 4, 1, 1, 1, 2, 1, 4, 1, 2, 3, 1, 2, 2, 2, 2, 0, 4, 0, 3, 0, 2, 4, 4, 1, 4, 4, 2, 2, 0, 3, 2, 4, 4, 3, 0, 2, 2, 4, 4, 1, 1, 2, 4, 0, 4, 4, 0, 0, 4, 2, 0, 0, 1, 3, 0, 2, 0, 1, 2, 1, 3, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 2, 1, 0, 1, 2, 3, 2, 2, 0, 2, 0, 3, 4, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 3, 2, 2, 2, 3, 4, 1, 4, 4, 3, 4, 4, 1, 0, 4, 4, 3, 2, 2, 3, 4, 3, 3, 3, 2, 1, 2, 0, 1, 2, 4, 3, 0, 2, 0, 1, 3, 0, 4, 2, 4, 2, 2, 0, 0, 2, 0, 1, 4, 0, 1, 2, 2, 3, 2, 3, 2, 4, 1, 1, 3, 2, 3, 0, 4, 0, 0, 1, 1, 1, 2, 3, 1, 4, 1, 2, 4, 3, 4, 0, 2, 2, 2, 2, 1, 4, 1, 2, 0, 1, 3, 1, 4, 3, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol1052 = [1, 2, 4, 3, 1, 4, 2, 4, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 3, 4, 2, 0, 0, 3, 2, 4, 4, 2, 0, 4, 1, 2, 4, 3, 2, 1, 1, 2, 3, 3, 2, 4, 3, 4, 2, 2, 2, 2, 3, 2, 3, 0, 0, 0, 2, 4, 3, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 4, 1, 4, 0, 4, 4, 2, 0, 0, 4, 4, 0, 3, 0, 1, 3, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 4, 0, 4, 3, 3, 1, 2, 4, 2, 1, 3, 1, 3, 3, 0, 2, 4, 4, 1, 3, 4, 3, 2, 1, 0, 1, 2, 4, 0, 0, 2, 3, 2, 1, 1, 4, 4, 3, 4, 3, 0, 1, 3, 1, 4, 2, 1, 2, 1, 0, 0, 1, 4, 0, 3, 4, 0, 3, 1, 3, 3, 2, 3, 3, 1, 0, 2, 4, 1, 0, 1, 3, 0, 1, 3, 0, 2, 4, 3, 1, 3, 0, 0, 3, 4, 3, 4, 4, 1, 2, 0, 4, 3, 1, 2, 0, 1, 2, 4, 3, 3, 3, 0, 2, 4, 0, 4, 4, 1, 1, 3, 3, 4, 0, 3, 3, 1, 0, 0, 3, 4, 3, 2, 4, 0, 0, 1, 2, 2, 0, 0, 1, 0, 3, 0, 1, 2, 3, 4, 4, 4, 3, 4, 4, 2, 4, 3, 1, 4, 1, 4, 1, 0, 2, 4, 1, 4, 0, 4, 3, 2, 0, 2, 3, 3, 3, 1, 4, 4, 0, 3, 2, 4, 2, 0, 0, 2, 2, 4, 3, 1, 1, 4, 3, 0, 2, 1, 1, 4, 0, 1, 2, 4, 4, 1, 3, 3, 1, 1, 4, 1, 2, 1, 0, 1, 4, 2, 0, 3, 1, 3, 3, 0, 1, 2, 3, 4, 0, 2, 2, 1, 3, 1, 2, 4, 3, 3, 1, 0, 0, 0, 3, 4, 0, 0, 0, 3, 2, 3, 4, 4, 1, 3, 4, 2, 3, 1, 3, 3, 4, 2, 1, 0, 4, 1, 4, 2, 2, 2, 1, 2, 4, 1, 2, 0, 3, 4, 2, 2, 2, 4, 4, 1, 4, 3, 0, 0, 0, 4, 2, 3, 2, 1, 2, 0, 4, 2, 4, 4, 4, 1, 1, 3, 4, 3, 0, 4, 4, 4, 3, 3, 3, 1, 3, 3, 3, 0] pubkeycol1053 = [2, 1, 2, 4, 2, 1, 0, 1, 3, 0, 1, 1, 1, 0, 2, 1, 4, 4, 1, 0, 0, 0, 2, 2, 4, 0, 2, 2, 2, 3, 3, 1, 4, 4, 4, 3, 4, 0, 0, 0, 1, 3, 4, 4, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 3, 2, 4, 3, 1, 3, 1, 0, 3, 0, 2, 1, 0, 4, 4, 3, 3, 1, 4, 2, 0, 4, 4, 2, 1, 3, 0, 2, 1, 4, 3, 0, 2, 4, 2, 2, 1, 3, 2, 0, 2, 4, 1, 0, 4, 3, 4, 1, 3, 3, 0, 0, 2, 0, 2, 4, 4, 1, 2, 2, 4, 2, 0, 4, 0, 1, 4, 4, 2, 4, 1, 1, 0, 0, 2, 3, 4, 1, 3, 3, 1, 3, 4, 2, 3, 4, 3, 0, 1, 2, 3, 0, 4, 3, 4, 1, 4, 3, 2, 0, 4, 2, 1, 2, 4, 4, 0, 0, 3, 0, 3, 3, 2, 4, 3, 3, 2, 2, 0, 2, 3, 4, 2, 1, 1, 2, 4, 2, 3, 3, 1, 4, 2, 0, 0, 4, 2, 0, 0, 3, 4, 2, 3, 1, 1, 4, 1, 0, 0, 4, 3, 2, 2, 1, 0, 1, 0, 3, 0, 0, 2, 0, 1, 0, 4, 4, 4, 4, 2, 2, 0, 2, 4, 1, 2, 3, 2, 2, 4, 0, 4, 0, 1, 1, 4, 0, 1, 3, 1, 1, 4, 1, 1, 2, 3, 3, 1, 1, 1, 0, 0, 3, 4, 0, 4, 0, 3, 1, 3, 4, 1, 0, 2, 1, 3, 3, 4, 3, 4, 0, 4, 3, 3, 1, 1, 4, 4, 1, 3, 1, 3, 0, 1, 3, 4, 4, 2, 2, 3, 4, 3, 4, 3, 4, 0, 1, 1, 2, 0, 3, 0, 4, 2, 3, 1, 3, 0, 2, 3, 2, 0, 1, 1, 3, 4, 4, 3, 4, 1, 0, 4, 3, 3, 4, 2, 0, 0, 4, 3, 1, 0, 3, 4, 4, 2, 2, 2, 2, 3, 3, 0, 4, 2, 2, 3, 2, 2, 0, 0, 4, 1, 4, 2, 1, 0, 0, 3, 0, 4, 1, 3, 4, 0, 1, 2, 2, 1, 3, 0, 1, 3, 4, 0, 2, 0, 1, 4, 3, 3, 1, 3, 2, 4, 0, 1, 3, 1, 3, 3, 2, 4, 3, 0, 4, 3, 2] pubkeycol1054 = [0, 0, 1, 1, 2, 3, 3, 4, 0, 1, 2, 4, 2, 0, 2, 2, 4, 3, 0, 0, 2, 1, 2, 1, 3, 4, 1, 2, 2, 1, 0, 4, 3, 3, 4, 3, 3, 1, 2, 3, 2, 1, 3, 4, 4, 1, 3, 2, 1, 4, 2, 2, 1, 4, 1, 2, 2, 1, 1, 3, 2, 3, 4, 1, 2, 3, 4, 3, 0, 4, 4, 1, 3, 4, 1, 1, 3, 2, 1, 4, 2, 2, 0, 4, 0, 2, 0, 2, 1, 3, 2, 0, 0, 2, 1, 3, 0, 1, 3, 3, 4, 0, 4, 2, 4, 4, 4, 3, 0, 3, 4, 1, 2, 1, 0, 4, 2, 0, 4, 4, 4, 1, 4, 0, 0, 4, 0, 0, 1, 0, 4, 1, 0, 2, 2, 1, 3, 2, 3, 3, 0, 2, 0, 3, 0, 3, 3, 2, 2, 3, 2, 2, 1, 0, 2, 4, 0, 2, 3, 3, 2, 0, 2, 4, 1, 2, 2, 4, 0, 3, 3, 3, 3, 3, 4, 4, 2, 2, 4, 0, 1, 4, 0, 2, 4, 4, 4, 4, 4, 1, 1, 2, 1, 0, 2, 3, 4, 3, 0, 4, 3, 1, 4, 4, 0, 2, 1, 3, 0, 0, 3, 3, 3, 0, 1, 4, 3, 3, 4, 0, 1, 3, 3, 3, 3, 0, 3, 1, 4, 0, 2, 3, 1, 1, 3, 4, 3, 0, 3, 1, 4, 4, 3, 3, 2, 4, 2, 2, 0, 3, 3, 4, 2, 0, 2, 4, 0, 0, 3, 3, 4, 1, 3, 2, 1, 1, 1, 4, 0, 3, 1, 2, 3, 3, 3, 3, 0, 3, 4, 4, 0, 4, 3, 3, 1, 4, 3, 4, 0, 4, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 4, 1, 4, 4, 0, 1, 3, 2, 4, 3, 3, 0, 2, 2, 2, 4, 2, 4, 1, 2, 1, 2, 0, 0, 4, 3, 0, 1, 1, 3, 4, 2, 1, 3, 3, 3, 1, 4, 3, 4, 0, 2, 1, 0, 4, 0, 0, 0, 0, 0, 2, 4, 1, 2, 4, 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 3, 3, 1, 0, 1, 4, 1, 2, 4, 4, 2, 1, 2, 4, 3, 0, 3, 2, 3, 1, 2, 1, 3, 1, 1, 0, 0, 2, 4, 2, 4, 1, 2, 2, 0] pubkeycol1055 = [1, 3, 0, 2, 3, 1, 3, 1, 4, 0, 4, 1, 0, 2, 0, 2, 1, 4, 1, 3, 0, 0, 1, 0, 2, 2, 1, 4, 2, 1, 4, 0, 4, 0, 0, 3, 0, 0, 0, 1, 3, 4, 4, 4, 4, 4, 1, 2, 0, 3, 0, 3, 0, 1, 4, 1, 1, 1, 4, 1, 0, 2, 4, 3, 3, 0, 3, 0, 1, 0, 2, 2, 3, 1, 3, 3, 2, 0, 2, 2, 1, 4, 1, 3, 3, 2, 0, 3, 3, 2, 3, 0, 3, 3, 3, 3, 1, 0, 4, 3, 0, 2, 1, 0, 1, 4, 1, 0, 4, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 4, 4, 4, 4, 0, 0, 2, 0, 4, 1, 2, 3, 1, 3, 0, 2, 4, 1, 1, 0, 4, 0, 3, 1, 1, 1, 4, 1, 1, 1, 0, 2, 0, 4, 3, 1, 0, 1, 4, 0, 4, 2, 3, 1, 3, 1, 3, 4, 3, 1, 4, 1, 2, 1, 0, 4, 0, 0, 3, 4, 0, 1, 1, 1, 1, 0, 0, 4, 3, 1, 1, 3, 4, 0, 3, 3, 2, 0, 1, 1, 4, 4, 3, 3, 2, 3, 2, 2, 3, 4, 4, 2, 2, 1, 2, 3, 1, 3, 2, 1, 3, 2, 0, 1, 4, 4, 4, 2, 1, 2, 0, 4, 0, 4, 2, 4, 2, 2, 3, 4, 2, 2, 0, 1, 4, 3, 2, 1, 4, 3, 1, 2, 0, 4, 3, 1, 3, 3, 2, 0, 4, 2, 0, 0, 1, 4, 2, 1, 4, 3, 1, 2, 3, 1, 1, 0, 0, 0, 1, 1, 0, 0, 3, 4, 1, 0, 3, 1, 0, 2, 1, 2, 1, 4, 0, 3, 0, 0, 1, 1, 0, 0, 0, 3, 3, 3, 4, 4, 0, 3, 2, 2, 2, 2, 2, 0, 2, 3, 0, 1, 2, 4, 1, 0, 3, 4, 2, 2, 3, 3, 2, 4, 2, 0, 3, 4, 2, 2, 4, 0, 4, 4, 2, 1, 0, 4, 2, 0, 2, 2, 1, 0, 2, 3, 3, 2, 2, 4, 3, 3, 0, 2, 0, 3, 2, 1, 3, 2, 1, 1, 1, 0, 2, 3, 4, 1, 0, 2, 3, 1, 0, 1, 4, 1, 4, 0, 4, 2, 1, 4, 3, 1, 2, 2, 4, 1, 1, 1, 4] pubkeycol1056 = [4, 4, 0, 1, 4, 1, 4, 1, 4, 3, 3, 3, 1, 2, 1, 3, 1, 2, 3, 0, 0, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 4, 3, 1, 4, 0, 3, 1, 1, 3, 1, 1, 3, 1, 2, 0, 0, 1, 1, 1, 2, 3, 3, 2, 3, 4, 4, 4, 0, 2, 0, 4, 3, 2, 1, 0, 0, 1, 1, 2, 4, 2, 1, 4, 3, 0, 0, 0, 0, 2, 0, 4, 0, 4, 2, 2, 3, 3, 3, 2, 4, 2, 2, 2, 1, 0, 2, 3, 1, 4, 0, 4, 1, 0, 4, 2, 4, 2, 2, 4, 0, 3, 0, 1, 0, 0, 3, 1, 3, 2, 1, 3, 3, 3, 4, 3, 1, 3, 4, 0, 3, 2, 2, 1, 1, 3, 2, 0, 3, 4, 4, 2, 0, 3, 3, 2, 1, 0, 3, 2, 2, 0, 2, 0, 3, 2, 2, 3, 2, 0, 4, 0, 0, 4, 0, 1, 1, 2, 3, 0, 4, 1, 4, 1, 0, 4, 0, 0, 3, 3, 4, 2, 0, 2, 1, 2, 0, 4, 1, 2, 4, 0, 1, 0, 3, 1, 4, 4, 2, 2, 3, 0, 0, 3, 0, 1, 2, 2, 4, 2, 4, 3, 3, 1, 0, 1, 2, 3, 0, 2, 4, 3, 1, 4, 0, 4, 4, 2, 3, 4, 1, 3, 2, 0, 0, 0, 4, 4, 3, 4, 4, 1, 3, 3, 2, 1, 4, 1, 4, 4, 3, 4, 3, 4, 4, 0, 2, 0, 0, 0, 0, 3, 0, 3, 0, 4, 0, 4, 0, 0, 2, 0, 4, 2, 0, 0, 0, 2, 1, 1, 4, 0, 1, 0, 2, 4, 0, 2, 3, 1, 0, 2, 3, 3, 3, 3, 1, 3, 4, 1, 3, 1, 2, 0, 2, 4, 1, 4, 3, 0, 0, 2, 2, 1, 2, 4, 4, 3, 1, 3, 2, 3, 0, 4, 0, 4, 2, 1, 3, 1, 2, 4, 2, 0, 1, 0, 1, 3, 3, 3, 2, 2, 2, 0, 4, 1, 2, 1, 4, 4, 0, 1, 0, 3, 3, 1, 0, 3, 0, 4, 4, 4, 2, 4, 2, 3, 1, 3, 0, 0, 0, 2, 0, 0, 0, 3, 4, 3, 4, 0, 2, 4, 4, 1, 0, 3, 3, 3, 1, 0, 2, 0, 1, 1, 3, 3, 4, 2] pubkeycol1057 = [1, 0, 1, 1, 0, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 4, 4, 4, 2, 4, 3, 3, 1, 1, 3, 2, 1, 3, 0, 0, 2, 2, 2, 3, 3, 4, 2, 2, 1, 2, 4, 4, 3, 3, 0, 0, 2, 3, 2, 1, 1, 3, 0, 4, 1, 3, 2, 0, 1, 3, 2, 0, 2, 0, 0, 1, 1, 1, 4, 1, 4, 1, 4, 1, 3, 3, 3, 1, 3, 4, 1, 3, 4, 4, 4, 4, 2, 4, 2, 1, 4, 2, 1, 3, 4, 4, 4, 4, 0, 4, 3, 3, 2, 0, 1, 3, 2, 3, 2, 2, 2, 0, 0, 4, 3, 1, 2, 0, 3, 2, 2, 2, 1, 4, 2, 1, 2, 0, 1, 0, 2, 4, 1, 2, 0, 0, 0, 3, 4, 4, 4, 1, 1, 4, 0, 1, 3, 4, 3, 3, 0, 4, 4, 3, 3, 4, 3, 0, 1, 4, 3, 3, 3, 1, 3, 2, 0, 3, 3, 4, 1, 2, 1, 3, 3, 3, 4, 4, 1, 3, 4, 2, 0, 4, 0, 0, 1, 1, 1, 4, 1, 1, 1, 0, 4, 1, 1, 1, 1, 4, 1, 1, 0, 2, 2, 0, 1, 4, 3, 4, 1, 2, 4, 2, 0, 1, 0, 3, 4, 3, 3, 2, 0, 0, 2, 0, 1, 0, 3, 2, 3, 1, 2, 4, 1, 0, 4, 4, 1, 3, 0, 3, 3, 0, 4, 4, 3, 3, 3, 0, 4, 1, 4, 2, 4, 1, 2, 4, 0, 3, 0, 1, 3, 0, 3, 1, 1, 0, 2, 4, 1, 4, 3, 3, 1, 0, 3, 0, 3, 1, 4, 4, 4, 2, 1, 4, 0, 1, 3, 2, 0, 4, 0, 3, 1, 3, 2, 0, 1, 2, 4, 2, 1, 0, 2, 1, 0, 4, 4, 2, 3, 3, 3, 1, 2, 0, 0, 3, 4, 1, 3, 0, 4, 2, 0, 1, 2, 4, 0, 4, 3, 2, 2, 3, 0, 0, 1, 3, 1, 0, 4, 4, 3, 3, 4, 1, 2, 4, 1, 3, 3, 0, 0, 1, 2, 2, 4, 3, 4, 3, 4, 4, 3, 0, 0, 1, 4, 0, 0, 3, 2, 2, 0, 1, 1, 0, 1, 0, 3, 1, 2, 2, 4, 0, 3, 3, 0, 4, 4, 2, 1, 4, 1, 3, 1, 2, 4, 4, 0, 1] pubkeycol1058 = [1, 0, 2, 0, 3, 3, 3, 0, 4, 3, 2, 2, 1, 4, 3, 0, 0, 2, 0, 2, 0, 0, 3, 4, 2, 3, 0, 3, 3, 3, 4, 4, 4, 1, 1, 0, 4, 1, 2, 4, 3, 4, 4, 2, 2, 3, 0, 0, 4, 3, 0, 4, 4, 4, 1, 0, 2, 3, 4, 1, 0, 1, 3, 3, 0, 0, 3, 2, 3, 4, 3, 2, 1, 3, 3, 4, 4, 0, 2, 4, 1, 3, 2, 0, 4, 2, 4, 2, 4, 1, 3, 1, 3, 1, 3, 4, 0, 1, 0, 4, 0, 1, 2, 0, 3, 4, 1, 0, 2, 3, 0, 0, 3, 1, 2, 3, 1, 1, 1, 4, 1, 1, 4, 3, 2, 1, 3, 2, 3, 1, 0, 4, 4, 3, 0, 2, 3, 0, 3, 3, 0, 0, 0, 0, 3, 4, 0, 4, 0, 3, 1, 2, 3, 4, 0, 2, 4, 4, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 2, 2, 0, 3, 2, 1, 4, 4, 4, 2, 1, 4, 2, 3, 2, 1, 4, 1, 3, 3, 3, 3, 3, 2, 0, 0, 2, 4, 1, 4, 3, 1, 1, 3, 2, 2, 2, 4, 0, 2, 3, 1, 3, 2, 2, 2, 1, 4, 4, 1, 3, 4, 0, 2, 2, 1, 1, 0, 3, 1, 0, 0, 4, 2, 3, 4, 3, 3, 1, 0, 3, 1, 2, 3, 2, 0, 2, 4, 4, 1, 1, 1, 4, 3, 0, 1, 0, 1, 2, 2, 2, 3, 1, 0, 3, 1, 3, 4, 4, 1, 1, 4, 3, 3, 2, 4, 4, 4, 1, 1, 0, 1, 4, 4, 1, 0, 2, 2, 1, 1, 2, 0, 4, 0, 1, 1, 2, 2, 2, 2, 3, 1, 1, 2, 1, 4, 0, 3, 4, 1, 1, 3, 4, 4, 0, 1, 2, 3, 1, 0, 3, 4, 4, 2, 4, 1, 3, 3, 0, 3, 1, 0, 3, 0, 1, 2, 4, 3, 0, 1, 0, 1, 4, 4, 2, 2, 4, 0, 1, 1, 0, 0, 1, 1, 1, 4, 4, 3, 0, 3, 4, 1, 2, 3, 1, 1, 1, 2, 1, 3, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 4, 4, 0, 0, 3, 1, 3, 4, 1, 1, 3, 3, 3, 4, 4, 0, 3, 0, 4, 1, 3] pubkeycol1059 = [3, 4, 2, 1, 4, 4, 1, 2, 4, 1, 2, 3, 4, 2, 2, 1, 0, 3, 0, 4, 2, 2, 3, 0, 1, 1, 3, 4, 1, 1, 1, 1, 4, 0, 3, 4, 2, 2, 0, 2, 0, 3, 2, 2, 3, 1, 2, 1, 4, 0, 0, 3, 2, 4, 3, 4, 1, 3, 3, 3, 0, 1, 4, 0, 1, 2, 2, 4, 1, 4, 4, 4, 2, 2, 3, 1, 0, 3, 2, 3, 1, 2, 3, 1, 3, 4, 0, 1, 2, 0, 4, 1, 3, 0, 0, 1, 4, 3, 2, 3, 0, 0, 1, 3, 0, 2, 3, 2, 1, 2, 1, 4, 0, 3, 0, 2, 3, 0, 3, 0, 2, 2, 2, 2, 3, 2, 3, 4, 2, 3, 1, 0, 2, 3, 4, 2, 3, 2, 2, 2, 0, 2, 0, 0, 0, 4, 0, 4, 1, 0, 4, 1, 1, 4, 2, 4, 1, 3, 1, 3, 3, 1, 4, 2, 4, 3, 0, 4, 2, 0, 4, 2, 2, 1, 3, 1, 0, 4, 0, 3, 3, 0, 3, 3, 3, 4, 0, 0, 0, 4, 4, 1, 1, 3, 4, 1, 1, 0, 0, 3, 1, 4, 1, 3, 0, 0, 0, 3, 3, 3, 3, 0, 1, 0, 4, 2, 3, 0, 2, 1, 0, 1, 4, 0, 0, 2, 1, 1, 0, 3, 3, 1, 2, 1, 4, 3, 1, 4, 3, 0, 4, 2, 1, 0, 4, 2, 1, 3, 1, 3, 2, 2, 2, 3, 0, 0, 4, 2, 2, 0, 0, 4, 3, 4, 1, 3, 1, 1, 4, 3, 3, 2, 3, 1, 3, 3, 3, 2, 2, 3, 3, 0, 4, 0, 2, 0, 1, 0, 0, 0, 4, 4, 0, 0, 3, 3, 0, 3, 3, 1, 4, 3, 2, 1, 2, 4, 4, 0, 3, 2, 2, 1, 3, 0, 3, 0, 3, 4, 2, 3, 4, 2, 1, 0, 2, 3, 3, 3, 3, 2, 0, 0, 1, 3, 4, 1, 3, 1, 4, 0, 0, 0, 1, 3, 0, 4, 4, 3, 3, 2, 4, 0, 4, 2, 4, 4, 1, 4, 2, 4, 3, 1, 3, 1, 2, 1, 1, 0, 3, 1, 4, 4, 3, 4, 4, 3, 0, 1, 0, 2, 2, 2, 0, 4, 2, 2, 1, 3, 3, 0, 1, 2, 4, 0, 2, 3, 4, 0, 0, 3] pubkeycol1060 = [4, 4, 3, 0, 1, 2, 2, 3, 4, 1, 3, 1, 3, 4, 3, 0, 1, 0, 3, 3, 2, 1, 1, 0, 2, 3, 3, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 3, 2, 1, 0, 2, 0, 0, 0, 3, 2, 2, 2, 4, 2, 2, 0, 4, 2, 2, 1, 1, 3, 2, 1, 1, 2, 2, 3, 3, 0, 0, 4, 2, 1, 3, 3, 2, 4, 1, 1, 0, 3, 0, 1, 0, 4, 1, 4, 4, 1, 4, 1, 0, 1, 4, 3, 0, 4, 0, 4, 1, 1, 1, 1, 1, 2, 0, 3, 4, 1, 4, 1, 3, 4, 0, 2, 1, 3, 0, 1, 0, 1, 3, 3, 3, 2, 3, 2, 0, 1, 0, 3, 0, 4, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 4, 3, 4, 3, 2, 0, 3, 3, 3, 2, 3, 0, 2, 0, 3, 0, 3, 3, 1, 4, 4, 1, 0, 3, 3, 3, 4, 4, 4, 4, 2, 4, 3, 2, 0, 4, 4, 1, 1, 4, 4, 4, 3, 0, 0, 4, 2, 0, 4, 3, 0, 1, 2, 2, 4, 1, 0, 2, 1, 4, 0, 2, 0, 3, 3, 4, 2, 0, 1, 3, 1, 2, 0, 2, 4, 0, 2, 2, 4, 0, 0, 0, 3, 4, 1, 3, 2, 3, 2, 4, 0, 4, 2, 1, 4, 2, 1, 3, 2, 1, 1, 3, 4, 0, 4, 2, 0, 3, 0, 4, 3, 0, 1, 4, 4, 0, 0, 2, 4, 4, 3, 1, 0, 2, 1, 4, 3, 1, 2, 1, 3, 0, 3, 1, 2, 3, 0, 3, 0, 1, 3, 2, 3, 2, 2, 3, 4, 2, 1, 4, 0, 0, 3, 0, 3, 0, 0, 2, 3, 2, 1, 1, 1, 1, 0, 4, 3, 0, 4, 3, 0, 0, 3, 4, 3, 1, 1, 2, 3, 0, 4, 0, 3, 2, 3, 1, 2, 4, 2, 4, 1, 2, 0, 1, 2, 2, 4, 2, 4, 0, 4, 4, 4, 1, 1, 3, 4, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 4, 2, 3, 3, 3, 2, 1, 0, 1, 3, 0, 1, 4, 0, 2, 4, 1, 4, 3, 3, 0, 0, 3, 2, 0, 2, 0, 4, 0, 3, 0, 4, 0, 0, 4, 3, 3, 0, 3, 3] pubkeycol1061 = [0, 1, 2, 2, 4, 1, 4, 2, 0, 2, 2, 3, 3, 0, 3, 3, 1, 0, 4, 1, 3, 2, 3, 3, 0, 2, 2, 0, 1, 2, 4, 3, 0, 1, 0, 1, 0, 0, 2, 4, 3, 1, 3, 2, 0, 0, 1, 4, 0, 0, 4, 0, 3, 1, 0, 1, 0, 2, 1, 0, 4, 4, 4, 2, 0, 3, 0, 4, 1, 4, 0, 3, 0, 2, 0, 4, 0, 1, 1, 2, 4, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 4, 2, 1, 0, 4, 4, 2, 0, 1, 0, 2, 1, 4, 4, 2, 4, 1, 4, 0, 2, 0, 2, 4, 1, 2, 2, 3, 3, 4, 3, 3, 0, 2, 0, 4, 2, 4, 0, 0, 1, 4, 3, 4, 1, 2, 3, 3, 3, 1, 3, 2, 4, 0, 3, 0, 3, 3, 4, 2, 2, 2, 3, 1, 4, 4, 2, 4, 1, 4, 3, 3, 3, 1, 1, 4, 1, 1, 2, 3, 4, 0, 4, 4, 0, 2, 0, 0, 0, 2, 3, 4, 2, 3, 3, 4, 3, 2, 2, 2, 3, 2, 2, 0, 2, 0, 3, 2, 2, 3, 2, 1, 3, 3, 3, 1, 2, 3, 0, 1, 4, 2, 2, 4, 1, 2, 3, 0, 1, 4, 2, 4, 0, 0, 0, 3, 0, 1, 2, 3, 2, 1, 3, 1, 2, 4, 3, 0, 4, 4, 0, 1, 1, 0, 0, 1, 3, 3, 2, 1, 1, 2, 1, 4, 4, 2, 4, 4, 1, 2, 3, 1, 4, 3, 1, 0, 4, 0, 1, 0, 2, 1, 2, 1, 0, 1, 4, 1, 1, 2, 1, 4, 1, 4, 2, 2, 2, 4, 1, 4, 0, 2, 0, 2, 2, 3, 3, 3, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 4, 2, 4, 2, 0, 3, 4, 4, 1, 4, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 3, 0, 3, 2, 1, 1, 3, 1, 3, 0, 1, 2, 4, 3, 3, 3, 0, 2, 3, 3, 1, 4, 1, 1, 3, 2, 1, 1, 2, 2, 3, 4, 0, 3, 4, 0, 3, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 0, 2, 2, 1, 4, 4, 3, 2, 3, 0, 2, 1, 4, 2, 4, 1, 4, 0] pubkeycol1062 = [0, 3, 1, 2, 1, 1, 4, 0, 3, 0, 2, 1, 4, 3, 4, 3, 2, 0, 3, 1, 4, 4, 4, 3, 1, 4, 4, 4, 2, 1, 3, 3, 4, 0, 0, 0, 1, 1, 0, 3, 3, 4, 4, 3, 4, 3, 1, 0, 1, 3, 2, 2, 1, 1, 4, 4, 3, 1, 1, 3, 2, 0, 0, 1, 0, 0, 2, 2, 4, 1, 2, 4, 4, 0, 2, 3, 2, 1, 1, 4, 1, 2, 2, 1, 3, 0, 3, 1, 1, 4, 0, 2, 4, 0, 0, 0, 4, 3, 4, 4, 1, 4, 3, 4, 3, 2, 0, 3, 2, 0, 4, 3, 1, 1, 0, 0, 4, 4, 0, 3, 1, 2, 2, 1, 3, 0, 1, 4, 4, 0, 1, 0, 4, 2, 0, 1, 3, 3, 1, 1, 3, 2, 1, 3, 2, 1, 3, 0, 3, 3, 4, 2, 0, 4, 0, 0, 2, 4, 2, 4, 4, 3, 2, 0, 1, 2, 3, 2, 0, 3, 4, 2, 1, 0, 2, 1, 4, 3, 1, 0, 4, 4, 3, 0, 0, 1, 1, 3, 2, 4, 0, 1, 1, 3, 4, 0, 3, 0, 3, 2, 2, 4, 3, 1, 1, 1, 0, 1, 3, 4, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 4, 4, 1, 4, 1, 4, 0, 3, 3, 0, 3, 0, 4, 0, 4, 0, 3, 0, 2, 0, 3, 0, 3, 1, 4, 2, 3, 0, 3, 3, 4, 0, 3, 4, 3, 1, 1, 3, 2, 1, 3, 4, 0, 0, 2, 4, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 3, 2, 3, 3, 1, 0, 2, 1, 4, 1, 0, 1, 2, 3, 0, 3, 2, 4, 1, 1, 2, 1, 2, 1, 2, 2, 3, 0, 0, 2, 3, 4, 0, 4, 1, 2, 0, 3, 3, 1, 4, 1, 4, 4, 4, 2, 4, 1, 3, 4, 0, 4, 3, 4, 1, 1, 2, 2, 2, 0, 1, 3, 1, 0, 0, 4, 4, 3, 3, 2, 0, 2, 2, 3, 2, 4, 4, 3, 1, 2, 4, 0, 4, 4, 0, 4, 3, 2, 4, 2, 4, 1, 0, 1, 4, 4, 3, 1, 3, 3, 0, 2, 2, 3, 1, 2, 3, 2, 0, 2, 3, 2, 4, 2, 2, 2, 4, 3, 3, 1, 1, 3, 3, 3] pubkeycol1063 = [3, 3, 0, 0, 4, 2, 3, 2, 2, 4, 2, 0, 1, 3, 4, 2, 1, 3, 1, 4, 4, 2, 1, 3, 3, 1, 3, 3, 3, 0, 0, 2, 2, 1, 3, 1, 4, 0, 4, 0, 1, 1, 3, 3, 1, 3, 4, 2, 1, 0, 4, 1, 2, 1, 2, 0, 4, 2, 4, 1, 3, 0, 3, 3, 2, 3, 2, 0, 3, 2, 0, 4, 3, 3, 4, 3, 2, 0, 4, 0, 3, 4, 3, 4, 2, 4, 1, 4, 2, 1, 4, 3, 0, 2, 2, 2, 3, 0, 1, 3, 4, 0, 0, 4, 3, 3, 0, 1, 1, 3, 4, 1, 0, 1, 3, 2, 4, 3, 3, 3, 1, 2, 0, 2, 3, 3, 3, 4, 3, 4, 0, 1, 1, 0, 3, 0, 0, 1, 3, 2, 4, 3, 1, 4, 1, 4, 2, 4, 4, 1, 0, 1, 4, 4, 0, 1, 0, 4, 2, 3, 0, 3, 1, 3, 2, 2, 1, 3, 0, 0, 0, 1, 3, 3, 3, 3, 0, 1, 4, 2, 3, 2, 1, 0, 4, 3, 3, 2, 3, 2, 0, 0, 1, 3, 1, 4, 0, 3, 0, 0, 2, 4, 3, 0, 1, 1, 4, 1, 4, 1, 1, 2, 2, 2, 0, 2, 3, 1, 3, 3, 1, 3, 4, 0, 0, 0, 2, 4, 0, 4, 4, 3, 2, 1, 3, 4, 4, 3, 2, 4, 2, 0, 2, 1, 2, 2, 3, 4, 4, 1, 4, 2, 1, 2, 2, 2, 4, 4, 0, 3, 2, 2, 4, 1, 4, 0, 4, 2, 1, 2, 4, 1, 2, 1, 1, 4, 3, 2, 1, 4, 1, 0, 4, 2, 1, 3, 1, 2, 2, 3, 0, 3, 1, 3, 3, 3, 4, 0, 4, 3, 1, 2, 1, 3, 1, 3, 4, 4, 1, 4, 4, 4, 1, 1, 0, 3, 0, 4, 3, 3, 4, 1, 0, 1, 1, 0, 1, 2, 4, 1, 0, 2, 4, 2, 1, 1, 1, 0, 0, 1, 1, 3, 2, 1, 2, 4, 0, 0, 3, 0, 1, 4, 2, 0, 3, 2, 4, 3, 0, 4, 3, 0, 1, 3, 3, 4, 4, 2, 3, 2, 2, 1, 1, 3, 3, 4, 1, 2, 3, 2, 3, 0, 4, 4, 1, 0, 3, 3, 1, 4, 1, 0, 4, 2, 3, 4, 2, 4, 1, 1] pubkeycol1064 = [4, 3, 3, 2, 4, 3, 0, 1, 0, 1, 2, 2, 4, 4, 2, 4, 4, 1, 3, 4, 3, 4, 4, 0, 2, 2, 4, 4, 2, 1, 1, 2, 2, 0, 4, 2, 3, 4, 0, 3, 1, 1, 2, 0, 3, 0, 3, 1, 3, 4, 3, 2, 2, 1, 0, 2, 3, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 3, 4, 1, 2, 1, 4, 3, 1, 1, 3, 3, 1, 4, 4, 0, 1, 3, 1, 3, 0, 3, 1, 3, 0, 2, 3, 0, 1, 0, 0, 2, 4, 3, 2, 0, 2, 1, 3, 1, 0, 0, 2, 1, 1, 0, 3, 0, 3, 3, 1, 4, 2, 4, 1, 3, 4, 1, 3, 1, 4, 3, 4, 0, 0, 0, 2, 3, 3, 4, 1, 4, 3, 3, 3, 1, 0, 0, 4, 1, 3, 3, 3, 4, 0, 0, 3, 3, 3, 0, 2, 3, 1, 1, 4, 0, 4, 0, 4, 3, 2, 3, 1, 1, 3, 1, 0, 4, 0, 1, 2, 4, 0, 2, 3, 2, 4, 4, 4, 3, 1, 4, 2, 3, 2, 3, 1, 3, 2, 3, 0, 2, 3, 3, 4, 4, 4, 3, 4, 1, 0, 0, 3, 3, 1, 4, 1, 2, 2, 2, 0, 2, 3, 0, 2, 4, 2, 0, 4, 3, 2, 4, 0, 2, 2, 4, 2, 0, 0, 2, 4, 4, 4, 1, 3, 1, 1, 1, 1, 4, 2, 1, 1, 1, 4, 3, 3, 3, 2, 3, 3, 0, 2, 3, 1, 2, 3, 1, 1, 3, 4, 4, 3, 3, 2, 4, 4, 1, 2, 2, 0, 2, 4, 3, 2, 3, 3, 1, 0, 3, 1, 0, 3, 2, 3, 0, 4, 4, 1, 2, 2, 3, 2, 1, 0, 2, 3, 1, 3, 0, 4, 4, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 2, 4, 0, 2, 4, 2, 2, 4, 2, 0, 3, 2, 3, 0, 1, 3, 3, 4, 1, 0, 1, 3, 1, 3, 4, 4, 1, 4, 1, 0, 4, 4, 4, 2, 4, 0, 4, 1, 2, 3, 1, 3, 4, 0, 3, 3, 4, 1, 4, 3, 2, 2, 0, 2, 3, 0, 0, 2, 0, 3, 2, 1, 0, 3, 2, 3, 2, 0, 1, 3, 1, 2, 3, 1, 4, 4, 2, 1] pubkeycol1065 = [2, 2, 3, 4, 3, 2, 0, 1, 0, 1, 4, 3, 2, 4, 4, 4, 2, 1, 1, 3, 4, 1, 0, 2, 3, 0, 3, 3, 1, 3, 2, 1, 0, 3, 2, 2, 2, 0, 2, 3, 4, 4, 2, 1, 4, 3, 1, 2, 4, 2, 0, 1, 2, 4, 4, 3, 0, 2, 4, 4, 1, 1, 1, 3, 2, 3, 2, 1, 4, 1, 0, 4, 2, 3, 4, 0, 1, 3, 2, 0, 0, 4, 2, 1, 2, 3, 4, 3, 3, 3, 1, 0, 0, 4, 4, 1, 0, 0, 4, 4, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 4, 3, 1, 4, 0, 3, 3, 1, 3, 2, 2, 3, 0, 4, 1, 2, 3, 3, 4, 2, 2, 0, 1, 0, 1, 1, 0, 4, 4, 1, 3, 3, 4, 2, 4, 4, 0, 3, 2, 2, 1, 1, 1, 1, 3, 3, 2, 2, 2, 3, 1, 1, 0, 4, 2, 2, 4, 3, 3, 1, 3, 0, 0, 2, 1, 3, 1, 2, 2, 4, 1, 4, 0, 2, 2, 0, 0, 2, 3, 0, 3, 2, 0, 1, 1, 2, 4, 0, 4, 0, 1, 2, 2, 1, 2, 3, 3, 0, 2, 2, 3, 1, 0, 2, 3, 0, 4, 4, 4, 2, 1, 1, 0, 4, 2, 4, 0, 4, 1, 0, 1, 2, 1, 2, 2, 1, 3, 2, 1, 2, 4, 2, 2, 0, 0, 3, 4, 2, 1, 4, 2, 1, 2, 2, 2, 0, 3, 1, 4, 1, 0, 3, 1, 4, 2, 3, 0, 4, 1, 4, 3, 3, 1, 1, 4, 1, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 4, 1, 4, 2, 3, 2, 3, 1, 3, 1, 1, 3, 4, 2, 1, 3, 1, 0, 4, 4, 2, 1, 4, 4, 0, 1, 0, 2, 2, 2, 3, 2, 4, 4, 0, 2, 0, 4, 0, 0, 3, 4, 4, 1, 0, 2, 3, 4, 1, 4, 1, 3, 4, 0, 0, 2, 2, 4, 1, 1, 3, 1, 1, 1, 3, 0, 1, 2, 2, 4, 0, 1, 4, 3, 0, 0, 0, 4, 2, 0, 0, 4, 0, 3, 3, 3, 0, 1, 4, 3, 0, 3, 3, 3, 0, 4, 1, 2, 3, 4, 4, 2, 0, 0, 3, 2, 0, 1, 3, 2] pubkeycol1066 = [2, 2, 2, 0, 1, 4, 2, 0, 2, 4, 4, 3, 3, 0, 2, 3, 1, 1, 0, 4, 2, 2, 4, 1, 4, 3, 0, 3, 2, 1, 1, 4, 1, 2, 0, 3, 0, 1, 3, 0, 0, 0, 1, 1, 4, 2, 2, 1, 2, 0, 2, 0, 3, 0, 2, 0, 1, 1, 1, 3, 4, 3, 1, 0, 1, 1, 1, 1, 4, 2, 2, 3, 3, 1, 0, 2, 1, 4, 2, 4, 1, 0, 0, 3, 2, 3, 3, 1, 4, 3, 4, 2, 3, 1, 0, 2, 3, 2, 1, 3, 1, 1, 1, 1, 1, 0, 4, 3, 2, 2, 3, 2, 0, 4, 0, 0, 4, 2, 2, 3, 3, 3, 0, 0, 1, 2, 1, 1, 4, 3, 4, 4, 3, 1, 3, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 3, 0, 4, 0, 2, 3, 4, 3, 3, 2, 1, 0, 3, 1, 4, 3, 0, 3, 4, 1, 0, 3, 2, 1, 3, 1, 3, 2, 2, 2, 0, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 0, 1, 4, 0, 1, 0, 1, 1, 3, 0, 0, 4, 4, 4, 0, 1, 4, 1, 4, 4, 1, 4, 0, 2, 2, 2, 3, 2, 1, 1, 4, 4, 3, 4, 3, 2, 1, 4, 2, 4, 1, 2, 4, 1, 1, 3, 0, 2, 4, 3, 3, 2, 3, 3, 2, 2, 1, 1, 4, 3, 4, 0, 3, 1, 0, 4, 0, 1, 3, 3, 3, 3, 1, 4, 2, 4, 1, 3, 4, 3, 4, 1, 0, 3, 0, 1, 3, 0, 0, 3, 1, 3, 4, 1, 4, 1, 1, 3, 3, 4, 3, 2, 4, 1, 0, 4, 0, 1, 0, 1, 1, 2, 1, 2, 3, 0, 1, 0, 3, 1, 2, 2, 3, 4, 2, 4, 2, 0, 1, 3, 1, 3, 2, 1, 1, 0, 3, 0, 1, 4, 3, 1, 1, 0, 3, 2, 1, 4, 3, 4, 0, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 3, 0, 3, 2, 0, 4, 4, 0, 0, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 4, 3, 1, 0, 2, 4, 1, 2, 3, 4, 0, 4, 4, 4, 0, 2, 3, 0, 0, 1, 1, 2, 4, 3, 3, 4, 2, 1, 4, 1, 1, 4, 3] pubkeycol1067 = [0, 2, 4, 2, 4, 1, 4, 4, 3, 0, 3, 2, 4, 3, 3, 0, 0, 0, 3, 1, 1, 1, 3, 4, 4, 1, 1, 1, 0, 4, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 0, 1, 3, 2, 1, 4, 0, 1, 3, 1, 4, 1, 4, 0, 2, 3, 2, 3, 4, 3, 1, 3, 3, 2, 4, 2, 4, 3, 2, 4, 2, 0, 4, 2, 4, 3, 4, 1, 2, 1, 0, 4, 3, 2, 1, 2, 0, 4, 2, 3, 1, 4, 3, 2, 0, 4, 1, 3, 4, 0, 4, 4, 0, 4, 2, 2, 3, 1, 0, 3, 3, 0, 1, 4, 4, 4, 0, 1, 3, 1, 3, 0, 0, 2, 2, 0, 1, 0, 4, 2, 2, 0, 0, 0, 3, 0, 3, 4, 1, 1, 1, 2, 2, 4, 3, 2, 2, 1, 1, 0, 2, 2, 1, 3, 0, 4, 2, 1, 1, 3, 0, 0, 1, 4, 0, 0, 4, 4, 3, 1, 2, 2, 1, 2, 1, 0, 0, 2, 3, 0, 1, 3, 2, 4, 1, 3, 0, 3, 0, 1, 3, 2, 2, 4, 4, 4, 1, 1, 4, 3, 1, 4, 1, 2, 1, 4, 3, 3, 0, 1, 1, 4, 0, 2, 0, 0, 0, 2, 2, 4, 3, 4, 3, 3, 1, 4, 3, 1, 4, 2, 3, 4, 2, 4, 1, 2, 0, 2, 3, 4, 3, 0, 3, 4, 4, 2, 1, 4, 1, 0, 4, 1, 1, 0, 1, 0, 4, 3, 3, 4, 1, 3, 1, 4, 4, 4, 1, 0, 4, 3, 3, 0, 4, 1, 3, 3, 4, 0, 0, 4, 0, 4, 0, 4, 2, 2, 4, 1, 4, 4, 4, 4, 3, 1, 4, 1, 2, 0, 0, 4, 3, 4, 3, 3, 3, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 3, 4, 1, 0, 3, 4, 0, 4, 4, 2, 4, 0, 2, 3, 2, 1, 1, 3, 2, 1, 1, 2, 0, 0, 4, 4, 1, 1, 0, 0, 4, 2, 1, 1, 3, 2, 4, 3, 4, 4, 2, 3, 3, 4, 3, 4, 0, 0, 2, 2, 1, 3, 1, 4, 4, 1, 1, 2, 4, 0, 4, 0, 1, 2, 4, 2, 1, 2, 1, 1, 3, 4, 0, 3, 4, 1, 4, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol1068 = [1, 1, 2, 2, 4, 1, 2, 2, 4, 3, 3, 3, 3, 0, 4, 0, 4, 1, 3, 2, 0, 0, 0, 2, 4, 2, 1, 3, 3, 2, 2, 3, 4, 2, 0, 3, 1, 3, 0, 0, 1, 1, 0, 4, 2, 3, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 4, 4, 0, 3, 1, 1, 3, 2, 3, 4, 4, 2, 0, 0, 0, 2, 4, 3, 1, 0, 3, 0, 4, 1, 1, 4, 4, 4, 4, 3, 4, 1, 1, 1, 0, 2, 3, 0, 2, 4, 3, 2, 1, 2, 0, 3, 0, 0, 2, 3, 0, 0, 0, 3, 3, 0, 4, 4, 2, 3, 1, 2, 2, 3, 0, 1, 0, 0, 2, 1, 1, 4, 0, 4, 1, 1, 4, 2, 1, 4, 2, 4, 2, 4, 2, 3, 2, 3, 1, 2, 1, 2, 0, 3, 2, 1, 2, 4, 2, 2, 0, 0, 2, 2, 1, 2, 3, 3, 4, 2, 1, 3, 3, 1, 3, 3, 3, 4, 1, 2, 4, 1, 3, 3, 3, 4, 1, 3, 3, 0, 2, 0, 0, 4, 0, 0, 2, 2, 4, 4, 4, 4, 2, 3, 1, 1, 4, 4, 2, 3, 3, 1, 3, 0, 0, 3, 4, 4, 2, 2, 4, 3, 0, 4, 1, 3, 4, 1, 4, 1, 1, 3, 4, 1, 0, 1, 3, 3, 0, 3, 2, 2, 0, 4, 1, 3, 2, 1, 3, 1, 3, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 4, 2, 2, 0, 3, 2, 0, 2, 4, 0, 4, 4, 4, 0, 1, 4, 3, 0, 4, 2, 1, 4, 2, 2, 4, 3, 1, 0, 4, 0, 4, 1, 2, 0, 2, 3, 0, 2, 1, 0, 3, 3, 3, 4, 4, 0, 0, 4, 3, 1, 3, 2, 2, 3, 0, 2, 1, 0, 4, 0, 3, 0, 1, 3, 4, 3, 2, 4, 0, 2, 0, 4, 3, 3, 0, 3, 4, 1, 2, 1, 1, 3, 0, 2, 3, 2, 4, 4, 3, 1, 0, 0, 1, 4, 2, 3, 0, 1, 0, 4, 4, 4, 3, 1, 2, 3, 2, 2, 4, 2, 3, 4, 4, 2, 4, 2, 0, 3, 3, 3, 4, 3, 1, 0, 2, 0, 1, 4, 1, 4, 2, 2, 0, 1, 2, 4, 2, 0, 3, 0, 4] pubkeycol1069 = [3, 0, 4, 3, 2, 2, 0, 1, 1, 2, 4, 0, 1, 3, 1, 0, 4, 3, 0, 4, 4, 2, 4, 4, 0, 0, 1, 1, 2, 2, 4, 3, 1, 1, 0, 0, 1, 3, 0, 4, 4, 1, 3, 1, 4, 3, 0, 1, 0, 1, 2, 4, 0, 1, 0, 0, 1, 2, 4, 2, 0, 2, 4, 0, 1, 4, 1, 2, 3, 0, 4, 1, 1, 4, 3, 3, 4, 2, 0, 4, 0, 2, 0, 1, 4, 3, 2, 3, 3, 4, 1, 0, 4, 4, 2, 4, 4, 3, 0, 1, 0, 4, 3, 2, 0, 4, 0, 2, 1, 2, 1, 2, 2, 4, 4, 4, 4, 0, 1, 2, 4, 2, 0, 0, 0, 3, 3, 3, 3, 1, 4, 4, 0, 3, 1, 2, 0, 1, 0, 4, 1, 3, 2, 1, 3, 0, 0, 1, 0, 2, 4, 4, 1, 2, 0, 4, 2, 0, 4, 3, 1, 3, 1, 2, 0, 0, 2, 4, 4, 3, 1, 4, 3, 4, 0, 4, 1, 4, 3, 3, 4, 4, 3, 4, 3, 1, 4, 4, 3, 1, 4, 4, 3, 0, 2, 4, 1, 1, 4, 4, 2, 1, 1, 2, 3, 1, 2, 2, 3, 3, 1, 1, 2, 1, 0, 3, 3, 4, 1, 4, 2, 3, 1, 1, 1, 4, 0, 1, 3, 4, 0, 0, 1, 1, 1, 4, 3, 3, 4, 0, 1, 0, 4, 3, 3, 1, 0, 0, 2, 0, 1, 3, 4, 2, 0, 3, 4, 4, 3, 0, 2, 1, 4, 3, 4, 4, 3, 2, 0, 1, 2, 3, 4, 4, 4, 0, 0, 3, 0, 2, 4, 3, 2, 3, 2, 3, 2, 2, 0, 1, 4, 0, 3, 2, 4, 4, 1, 4, 4, 3, 4, 0, 3, 3, 3, 0, 1, 0, 2, 1, 4, 4, 3, 4, 2, 3, 0, 1, 3, 0, 3, 1, 2, 0, 3, 4, 3, 1, 4, 1, 3, 3, 0, 2, 0, 4, 2, 3, 4, 2, 0, 2, 3, 1, 4, 2, 1, 4, 0, 3, 2, 0, 2, 3, 4, 4, 3, 3, 4, 2, 3, 0, 0, 3, 0, 4, 2, 4, 1, 2, 2, 0, 1, 3, 2, 2, 3, 2, 0, 2, 4, 1, 0, 1, 4, 2, 3, 2, 1, 0, 3, 2, 4, 0, 1, 3, 3, 2, 0, 1] pubkeycol1070 = [4, 1, 4, 0, 1, 0, 1, 3, 3, 3, 0, 2, 2, 3, 2, 2, 2, 0, 1, 4, 1, 1, 3, 1, 1, 3, 4, 4, 3, 2, 0, 3, 2, 1, 3, 1, 3, 1, 3, 4, 0, 2, 4, 3, 0, 4, 0, 1, 2, 0, 4, 1, 4, 1, 2, 2, 1, 3, 0, 4, 3, 2, 2, 1, 4, 4, 4, 0, 0, 3, 2, 0, 1, 1, 3, 3, 3, 2, 1, 4, 1, 2, 4, 3, 4, 3, 0, 2, 4, 3, 0, 0, 4, 4, 0, 4, 3, 4, 2, 3, 1, 2, 4, 3, 0, 3, 0, 1, 1, 0, 1, 0, 2, 4, 2, 0, 2, 2, 2, 1, 3, 1, 4, 0, 4, 2, 3, 2, 2, 2, 4, 3, 0, 2, 0, 4, 1, 0, 0, 1, 1, 0, 4, 2, 0, 4, 0, 3, 0, 0, 0, 4, 0, 0, 0, 3, 0, 2, 0, 4, 2, 0, 2, 4, 1, 0, 4, 0, 1, 2, 2, 0, 4, 3, 3, 0, 1, 0, 4, 0, 4, 0, 1, 0, 1, 4, 4, 2, 1, 0, 1, 3, 3, 0, 3, 3, 1, 1, 1, 0, 0, 2, 2, 0, 0, 4, 3, 3, 3, 1, 1, 1, 0, 0, 1, 1, 4, 3, 1, 3, 4, 1, 4, 2, 3, 4, 0, 1, 2, 3, 2, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 0, 1, 3, 3, 2, 1, 1, 3, 3, 2, 0, 1, 3, 1, 4, 0, 1, 4, 3, 0, 4, 3, 2, 0, 3, 2, 4, 1, 3, 4, 0, 2, 2, 0, 2, 4, 4, 1, 0, 0, 0, 0, 2, 1, 3, 2, 1, 4, 0, 2, 3, 0, 1, 2, 1, 1, 3, 2, 3, 1, 3, 0, 0, 0, 1, 4, 4, 4, 0, 0, 4, 1, 4, 0, 0, 2, 2, 4, 0, 3, 1, 2, 0, 2, 2, 3, 1, 0, 4, 0, 3, 4, 0, 0, 1, 4, 0, 3, 2, 4, 2, 1, 3, 3, 1, 1, 4, 1, 2, 3, 2, 3, 1, 4, 4, 3, 3, 1, 3, 4, 4, 1, 2, 1, 3, 2, 1, 3, 3, 3, 0, 3, 0, 1, 2, 0, 3, 1, 4, 4, 1, 3, 0, 1, 0, 0, 3, 1, 2, 4, 2, 2, 3, 1, 1, 2, 3, 2, 0] pubkeycol1071 = [1, 0, 1, 4, 1, 4, 4, 3, 3, 4, 2, 3, 1, 3, 3, 4, 4, 3, 1, 3, 3, 2, 4, 2, 1, 0, 4, 1, 3, 2, 1, 4, 1, 1, 4, 1, 2, 3, 1, 2, 0, 2, 1, 2, 3, 1, 2, 1, 0, 2, 0, 0, 3, 1, 4, 4, 1, 0, 2, 2, 2, 2, 2, 4, 3, 3, 3, 0, 3, 0, 3, 1, 0, 0, 3, 0, 2, 0, 0, 1, 1, 4, 1, 1, 2, 4, 3, 4, 0, 4, 2, 0, 2, 2, 3, 2, 1, 4, 3, 2, 1, 4, 2, 2, 1, 2, 1, 4, 3, 4, 1, 3, 1, 4, 3, 0, 4, 1, 2, 0, 4, 2, 2, 4, 0, 0, 1, 2, 1, 3, 3, 2, 3, 2, 3, 3, 1, 0, 4, 1, 1, 4, 1, 3, 4, 1, 3, 2, 3, 3, 3, 4, 1, 1, 2, 4, 0, 2, 4, 1, 1, 3, 1, 3, 3, 0, 3, 4, 0, 4, 2, 4, 4, 4, 3, 0, 2, 4, 0, 2, 4, 3, 1, 4, 1, 2, 2, 3, 3, 1, 3, 1, 1, 4, 0, 2, 0, 4, 0, 1, 3, 1, 1, 2, 2, 1, 2, 4, 1, 1, 1, 4, 3, 3, 4, 4, 4, 0, 2, 0, 3, 1, 3, 1, 0, 2, 3, 0, 4, 0, 0, 0, 2, 4, 4, 0, 1, 4, 1, 3, 1, 2, 3, 4, 2, 3, 1, 4, 2, 3, 1, 3, 1, 0, 3, 2, 3, 4, 2, 0, 0, 1, 3, 0, 3, 3, 3, 1, 3, 1, 1, 4, 3, 1, 4, 4, 2, 4, 4, 4, 1, 1, 0, 4, 1, 1, 1, 0, 2, 1, 1, 3, 2, 0, 1, 2, 1, 4, 1, 2, 4, 0, 4, 3, 0, 2, 1, 1, 4, 1, 1, 3, 3, 4, 2, 1, 4, 3, 0, 0, 0, 2, 2, 4, 4, 4, 0, 3, 2, 4, 0, 2, 3, 4, 2, 2, 2, 0, 1, 1, 3, 2, 1, 3, 2, 1, 3, 2, 4, 1, 3, 2, 2, 2, 3, 3, 1, 1, 4, 2, 3, 0, 2, 3, 0, 1, 4, 0, 4, 4, 2, 2, 0, 3, 1, 3, 2, 4, 0, 1, 1, 3, 1, 2, 0, 1, 4, 4, 1, 1, 3, 0, 1, 3, 4, 4, 3, 4, 0, 0] pubkeycol1072 = [3, 2, 0, 0, 3, 2, 2, 0, 1, 1, 4, 3, 1, 4, 3, 4, 1, 4, 1, 1, 1, 3, 2, 1, 0, 2, 4, 3, 4, 1, 4, 1, 3, 0, 2, 4, 2, 3, 3, 0, 1, 0, 1, 0, 3, 2, 3, 1, 1, 2, 1, 1, 0, 4, 3, 3, 4, 3, 2, 3, 2, 1, 0, 3, 3, 0, 4, 4, 3, 1, 2, 4, 1, 3, 0, 4, 0, 2, 0, 4, 1, 4, 4, 1, 3, 3, 2, 1, 0, 1, 3, 0, 3, 3, 3, 4, 2, 1, 3, 2, 0, 1, 1, 1, 3, 0, 0, 0, 0, 4, 2, 2, 0, 1, 1, 3, 0, 4, 4, 4, 0, 0, 4, 3, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 3, 2, 1, 1, 0, 4, 1, 3, 4, 2, 4, 4, 3, 4, 4, 1, 2, 4, 2, 0, 1, 1, 1, 1, 1, 3, 0, 0, 0, 1, 3, 4, 3, 0, 3, 2, 0, 3, 1, 4, 4, 1, 0, 2, 2, 1, 3, 0, 2, 1, 2, 4, 3, 3, 4, 4, 2, 4, 1, 1, 0, 3, 1, 3, 4, 4, 4, 1, 2, 4, 3, 4, 3, 0, 2, 4, 3, 2, 2, 1, 2, 0, 3, 0, 0, 2, 4, 0, 2, 1, 0, 3, 0, 4, 4, 0, 0, 1, 4, 0, 2, 0, 2, 1, 1, 2, 3, 2, 3, 0, 0, 2, 1, 4, 4, 3, 3, 2, 0, 0, 2, 3, 1, 1, 0, 1, 3, 4, 2, 3, 4, 1, 1, 3, 2, 0, 1, 0, 3, 3, 4, 4, 2, 4, 3, 4, 4, 4, 0, 1, 4, 0, 1, 4, 2, 3, 2, 1, 3, 4, 1, 2, 2, 3, 3, 2, 3, 2, 0, 4, 2, 2, 0, 3, 4, 3, 4, 0, 0, 4, 3, 3, 0, 0, 3, 2, 4, 3, 3, 4, 4, 3, 0, 1, 3, 2, 0, 2, 3, 3, 1, 4, 0, 1, 3, 4, 4, 0, 0, 2, 3, 4, 2, 4, 3, 0, 1, 0, 4, 1, 0, 1, 1, 0, 4, 1, 1, 1, 2, 3, 1, 1, 0, 3, 4, 2, 2, 0, 2, 4, 3, 0, 4, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 0, 2, 4, 3, 2, 2, 2, 0, 3, 3, 4, 1, 0] pubkeycol1073 = [1, 0, 3, 4, 4, 1, 2, 3, 0, 0, 3, 1, 0, 2, 1, 0, 1, 2, 1, 2, 4, 4, 0, 3, 4, 3, 1, 4, 2, 1, 3, 1, 0, 2, 1, 2, 1, 4, 1, 0, 4, 0, 3, 3, 2, 4, 1, 4, 4, 1, 2, 2, 1, 3, 2, 1, 1, 4, 2, 3, 2, 4, 0, 0, 0, 0, 3, 4, 3, 2, 3, 0, 3, 3, 0, 2, 1, 2, 0, 1, 3, 0, 4, 4, 2, 1, 2, 3, 0, 2, 3, 2, 4, 2, 3, 2, 1, 2, 3, 1, 0, 1, 0, 1, 3, 2, 4, 2, 4, 0, 1, 4, 4, 4, 1, 3, 3, 3, 3, 1, 1, 0, 2, 4, 2, 2, 4, 2, 4, 1, 4, 3, 4, 1, 3, 0, 2, 1, 1, 0, 3, 1, 0, 2, 3, 1, 1, 0, 4, 0, 4, 4, 3, 0, 1, 4, 3, 0, 1, 1, 3, 4, 4, 3, 0, 0, 2, 3, 2, 2, 4, 1, 3, 0, 0, 3, 4, 4, 0, 3, 1, 3, 4, 4, 4, 3, 3, 4, 0, 2, 2, 2, 4, 3, 4, 1, 2, 4, 4, 0, 2, 0, 2, 2, 0, 1, 4, 0, 4, 3, 0, 1, 2, 1, 1, 3, 3, 4, 3, 3, 1, 0, 4, 4, 2, 3, 3, 1, 4, 1, 2, 1, 2, 4, 1, 2, 3, 0, 3, 0, 4, 4, 2, 3, 1, 2, 0, 3, 2, 0, 0, 1, 4, 0, 3, 0, 3, 0, 3, 3, 2, 4, 2, 1, 3, 4, 2, 1, 1, 1, 3, 0, 4, 2, 2, 4, 0, 3, 4, 2, 4, 4, 0, 3, 2, 3, 2, 4, 0, 1, 3, 0, 4, 2, 4, 2, 1, 4, 4, 2, 4, 2, 1, 2, 1, 1, 0, 0, 3, 3, 4, 4, 4, 0, 0, 1, 4, 3, 2, 2, 3, 4, 2, 4, 1, 4, 1, 0, 1, 2, 3, 3, 0, 4, 1, 1, 1, 0, 4, 0, 0, 1, 3, 4, 1, 3, 0, 2, 1, 2, 2, 1, 4, 4, 3, 4, 3, 0, 1, 0, 1, 0, 4, 0, 1, 2, 2, 3, 2, 3, 3, 2, 1, 0, 1, 1, 1, 4, 4, 3, 4, 3, 4, 4, 3, 1, 1, 2, 1, 0, 2, 2, 3, 3, 3, 2, 4, 1, 2, 4] pubkeycol1074 = [0, 2, 2, 4, 2, 3, 3, 4, 2, 3, 2, 1, 4, 1, 2, 3, 3, 2, 2, 2, 4, 1, 3, 2, 3, 4, 1, 3, 4, 2, 4, 0, 0, 2, 2, 4, 1, 0, 4, 3, 3, 1, 0, 1, 2, 4, 3, 4, 4, 3, 4, 3, 0, 1, 2, 2, 4, 4, 0, 0, 4, 0, 3, 1, 3, 0, 2, 1, 2, 2, 4, 3, 3, 1, 0, 4, 2, 1, 4, 3, 4, 2, 4, 0, 0, 1, 4, 3, 2, 2, 2, 1, 3, 3, 1, 3, 3, 0, 4, 3, 2, 4, 4, 1, 1, 0, 0, 3, 2, 4, 3, 3, 4, 2, 2, 3, 4, 2, 1, 0, 2, 1, 0, 4, 3, 2, 0, 2, 2, 0, 3, 1, 0, 4, 1, 0, 2, 1, 0, 3, 4, 3, 1, 0, 3, 4, 0, 4, 2, 3, 1, 2, 3, 3, 3, 0, 2, 3, 4, 2, 1, 4, 1, 2, 4, 4, 3, 3, 0, 3, 1, 2, 0, 3, 0, 1, 2, 4, 1, 4, 0, 1, 0, 1, 3, 2, 0, 0, 2, 1, 3, 3, 0, 3, 3, 1, 3, 2, 4, 2, 3, 4, 0, 4, 4, 1, 0, 3, 4, 2, 4, 0, 0, 2, 3, 2, 3, 3, 1, 4, 4, 2, 3, 3, 2, 1, 4, 2, 3, 0, 4, 3, 3, 3, 3, 1, 2, 4, 1, 0, 0, 3, 4, 1, 4, 3, 3, 0, 2, 2, 0, 3, 1, 2, 3, 3, 0, 2, 2, 2, 4, 2, 1, 0, 4, 0, 1, 3, 2, 0, 1, 2, 3, 3, 3, 0, 4, 4, 1, 0, 3, 1, 0, 3, 1, 0, 1, 0, 0, 4, 3, 2, 0, 4, 3, 1, 3, 0, 0, 3, 2, 3, 4, 4, 1, 2, 1, 4, 1, 3, 4, 0, 0, 1, 2, 2, 1, 4, 2, 1, 2, 2, 0, 1, 3, 2, 4, 1, 0, 3, 1, 0, 3, 2, 4, 3, 0, 0, 0, 4, 2, 0, 3, 3, 3, 4, 1, 2, 3, 4, 4, 4, 4, 0, 3, 0, 2, 1, 3, 4, 2, 4, 4, 2, 4, 0, 0, 1, 2, 2, 4, 0, 0, 3, 1, 1, 4, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 0, 0, 3, 4, 0, 2, 4, 2, 3, 0, 0, 4, 0] pubkeycol1075 = [3, 3, 3, 2, 4, 3, 1, 3, 1, 3, 3, 1, 4, 3, 3, 0, 2, 2, 1, 1, 1, 3, 0, 1, 0, 2, 4, 1, 0, 3, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 3, 0, 4, 1, 0, 4, 1, 0, 2, 0, 2, 4, 4, 4, 1, 4, 1, 4, 3, 1, 2, 0, 3, 2, 1, 3, 1, 3, 2, 2, 1, 2, 3, 2, 3, 1, 1, 2, 3, 4, 0, 2, 3, 3, 1, 2, 2, 0, 2, 4, 1, 2, 4, 3, 1, 4, 1, 4, 0, 4, 1, 4, 2, 4, 4, 4, 1, 0, 1, 2, 3, 0, 3, 2, 2, 4, 1, 1, 2, 2, 0, 2, 1, 2, 1, 3, 4, 1, 1, 4, 2, 1, 3, 4, 2, 1, 3, 2, 4, 2, 2, 1, 4, 1, 1, 1, 0, 0, 3, 3, 1, 2, 2, 0, 3, 4, 1, 1, 2, 2, 3, 0, 2, 1, 0, 0, 4, 0, 3, 2, 0, 3, 0, 2, 3, 4, 2, 1, 0, 3, 0, 1, 4, 3, 0, 1, 2, 4, 3, 0, 4, 0, 4, 1, 2, 2, 0, 4, 4, 3, 1, 3, 4, 1, 1, 2, 3, 0, 4, 2, 2, 4, 3, 1, 2, 2, 2, 3, 2, 4, 1, 0, 1, 2, 4, 3, 1, 3, 1, 0, 0, 2, 3, 3, 0, 3, 2, 0, 1, 2, 2, 0, 4, 4, 0, 3, 0, 1, 4, 1, 0, 4, 1, 4, 3, 0, 0, 4, 3, 2, 2, 2, 2, 1, 3, 3, 2, 1, 1, 0, 0, 4, 4, 4, 1, 3, 0, 3, 1, 0, 4, 2, 2, 1, 4, 2, 3, 1, 0, 4, 1, 0, 0, 2, 1, 0, 0, 1, 3, 4, 3, 1, 2, 4, 3, 3, 2, 3, 3, 3, 2, 0, 3, 3, 0, 0, 4, 2, 3, 2, 3, 1, 0, 3, 0, 2, 1, 2, 3, 0, 2, 0, 3, 1, 2, 1, 1, 1, 4, 4, 0, 0, 1, 2, 0, 3, 2, 3, 2, 0, 2, 1, 3, 3, 2, 3, 1, 3, 2, 4, 4, 3, 0, 1, 0, 4, 1, 4, 3, 1, 4, 1, 4, 1, 4, 0, 4, 3, 3, 1, 3, 1, 1, 1, 3, 3, 4, 4, 4, 1, 0, 2, 4, 2, 4, 0, 3, 2, 4] pubkeycol1076 = [4, 0, 3, 3, 3, 0, 0, 3, 2, 0, 3, 1, 3, 1, 2, 1, 1, 3, 3, 3, 1, 4, 2, 0, 3, 1, 4, 4, 2, 1, 4, 4, 3, 2, 3, 0, 2, 4, 4, 3, 4, 3, 0, 2, 3, 4, 4, 2, 3, 0, 3, 3, 2, 1, 1, 3, 4, 2, 2, 1, 0, 1, 4, 4, 3, 3, 3, 0, 0, 3, 0, 1, 1, 2, 4, 3, 3, 1, 0, 3, 0, 3, 0, 0, 4, 4, 3, 4, 1, 0, 2, 0, 4, 0, 4, 1, 0, 2, 2, 0, 1, 1, 4, 1, 3, 3, 1, 2, 1, 1, 4, 4, 1, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 2, 0, 1, 4, 1, 2, 1, 4, 4, 0, 1, 2, 2, 0, 3, 4, 4, 2, 4, 2, 3, 2, 1, 0, 0, 1, 4, 3, 0, 3, 3, 3, 4, 3, 3, 1, 3, 1, 4, 2, 2, 3, 1, 4, 2, 4, 1, 4, 4, 3, 4, 1, 2, 1, 3, 0, 1, 0, 4, 2, 3, 3, 1, 0, 0, 1, 3, 3, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 3, 4, 2, 3, 0, 4, 4, 1, 3, 3, 3, 2, 0, 1, 0, 0, 0, 4, 3, 0, 2, 0, 0, 4, 0, 4, 3, 0, 0, 2, 2, 0, 2, 0, 3, 4, 2, 4, 3, 1, 4, 3, 2, 2, 0, 1, 1, 0, 2, 4, 1, 0, 0, 2, 3, 1, 3, 3, 0, 4, 4, 4, 2, 0, 1, 3, 4, 2, 1, 4, 2, 1, 2, 2, 0, 4, 2, 0, 4, 4, 1, 2, 0, 4, 4, 2, 0, 0, 3, 4, 0, 2, 1, 3, 0, 4, 1, 4, 1, 3, 1, 4, 1, 2, 3, 3, 1, 1, 1, 0, 4, 3, 3, 2, 4, 3, 2, 1, 3, 1, 4, 4, 2, 4, 4, 2, 1, 2, 4, 1, 0, 3, 3, 4, 3, 4, 1, 2, 1, 3, 3, 4, 1, 0, 1, 1, 1, 4, 0, 2, 1, 4, 1, 1, 2, 0, 0, 4, 3, 1, 3, 4, 4, 4, 3, 2, 0, 3, 4, 1, 4, 0, 0, 2, 4, 2, 0, 1, 0, 3, 0, 1, 0, 3, 2, 1, 4, 2, 1, 0, 4, 3, 2, 2, 3, 0, 0, 1] pubkeycol1077 = [0, 2, 2, 3, 2, 3, 2, 2, 0, 2, 2, 0, 4, 1, 0, 2, 1, 0, 3, 0, 4, 1, 3, 1, 1, 3, 4, 0, 0, 0, 3, 3, 2, 1, 3, 4, 4, 4, 4, 1, 4, 0, 4, 3, 0, 3, 3, 0, 1, 4, 0, 3, 1, 4, 2, 0, 0, 1, 0, 0, 3, 0, 0, 3, 2, 4, 3, 2, 2, 4, 1, 1, 3, 3, 1, 4, 0, 2, 0, 1, 3, 4, 1, 4, 3, 4, 2, 1, 3, 0, 4, 3, 3, 1, 2, 3, 4, 0, 1, 2, 3, 1, 3, 1, 3, 3, 2, 3, 0, 3, 1, 0, 3, 3, 2, 4, 4, 2, 4, 3, 3, 1, 4, 2, 4, 1, 0, 2, 3, 3, 0, 1, 4, 0, 3, 4, 1, 2, 3, 0, 2, 1, 1, 1, 4, 2, 0, 2, 1, 3, 2, 2, 1, 0, 1, 3, 1, 1, 4, 2, 2, 4, 2, 2, 0, 3, 2, 2, 1, 1, 3, 1, 3, 0, 2, 0, 3, 4, 1, 3, 2, 1, 3, 3, 2, 0, 0, 4, 2, 1, 0, 4, 2, 0, 2, 1, 1, 2, 0, 0, 0, 4, 2, 2, 2, 0, 4, 2, 4, 1, 0, 1, 4, 4, 2, 1, 3, 3, 3, 1, 0, 4, 1, 3, 0, 4, 1, 0, 0, 3, 3, 2, 4, 3, 0, 3, 2, 4, 1, 1, 0, 0, 1, 4, 3, 3, 4, 0, 1, 0, 2, 0, 0, 3, 0, 4, 3, 4, 0, 4, 2, 0, 4, 4, 3, 3, 4, 3, 2, 2, 1, 4, 2, 3, 1, 3, 4, 0, 2, 0, 3, 1, 3, 1, 4, 0, 2, 0, 3, 4, 1, 2, 2, 1, 4, 3, 4, 3, 0, 4, 1, 4, 4, 3, 2, 0, 3, 4, 2, 0, 4, 4, 2, 4, 3, 1, 2, 2, 2, 4, 0, 2, 2, 1, 4, 1, 0, 3, 0, 0, 3, 3, 3, 4, 1, 1, 1, 0, 3, 2, 3, 3, 0, 0, 2, 3, 3, 1, 2, 0, 1, 1, 4, 0, 1, 2, 1, 0, 4, 3, 2, 1, 0, 0, 3, 4, 4, 1, 3, 0, 2, 1, 3, 3, 4, 1, 4, 4, 4, 1, 1, 2, 0, 2, 1, 4, 4, 2, 0, 2, 0, 4, 3, 2, 4, 4, 3, 3, 0, 1] pubkeycol1078 = [0, 2, 1, 0, 3, 1, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 0, 1, 0, 3, 1, 1, 1, 0, 4, 3, 1, 4, 4, 0, 0, 3, 4, 2, 4, 2, 1, 0, 0, 1, 3, 3, 1, 1, 1, 4, 3, 2, 0, 4, 4, 1, 0, 2, 2, 2, 3, 2, 1, 2, 3, 0, 4, 3, 1, 1, 2, 2, 4, 3, 4, 0, 3, 1, 3, 0, 3, 1, 1, 4, 3, 1, 2, 1, 3, 1, 1, 2, 4, 0, 0, 1, 2, 0, 4, 2, 1, 1, 2, 0, 2, 3, 2, 4, 0, 4, 1, 0, 4, 0, 4, 1, 3, 1, 1, 1, 4, 2, 3, 1, 3, 4, 3, 2, 1, 0, 4, 3, 0, 0, 1, 4, 4, 1, 0, 3, 2, 0, 0, 4, 3, 0, 0, 4, 3, 2, 4, 0, 3, 0, 4, 0, 3, 0, 4, 0, 0, 3, 4, 0, 3, 4, 3, 4, 2, 0, 0, 1, 0, 1, 3, 1, 0, 2, 1, 1, 0, 3, 4, 2, 3, 2, 4, 4, 0, 1, 2, 4, 0, 0, 3, 3, 2, 1, 4, 4, 3, 0, 1, 0, 4, 1, 1, 3, 0, 2, 1, 0, 0, 4, 0, 3, 3, 2, 0, 3, 2, 4, 0, 0, 3, 0, 2, 0, 2, 2, 4, 0, 3, 2, 2, 2, 2, 0, 1, 4, 3, 2, 1, 3, 1, 4, 3, 3, 3, 0, 1, 1, 0, 1, 0, 2, 4, 3, 0, 0, 1, 3, 0, 2, 3, 2, 4, 3, 1, 1, 0, 3, 0, 1, 0, 2, 1, 3, 1, 4, 3, 3, 4, 4, 1, 4, 4, 4, 2, 4, 0, 1, 2, 4, 0, 2, 1, 1, 4, 1, 0, 2, 0, 3, 2, 4, 0, 4, 3, 3, 4, 2, 2, 0, 2, 3, 1, 2, 3, 2, 2, 4, 1, 4, 4, 1, 4, 3, 0, 3, 2, 2, 3, 3, 1, 2, 1, 3, 0, 2, 4, 2, 0, 0, 1, 4, 4, 1, 2, 3, 4, 1, 3, 0, 3, 1, 2, 0, 1, 2, 1, 2, 1, 3, 3, 0, 2, 2, 1, 2, 1, 2, 3, 0, 4, 4, 1, 2, 4, 3, 4, 3, 2, 4, 2, 3, 1, 3, 3, 1, 0, 3, 2, 1, 0, 4, 4, 4, 0, 4, 1, 4, 0, 1] pubkeycol1079 = [3, 1, 3, 1, 1, 2, 1, 3, 1, 4, 4, 3, 2, 4, 2, 3, 0, 1, 0, 4, 2, 3, 4, 0, 3, 2, 3, 4, 3, 2, 0, 2, 3, 0, 4, 2, 0, 1, 4, 3, 1, 3, 3, 1, 4, 3, 3, 3, 2, 0, 1, 2, 0, 4, 4, 0, 4, 1, 3, 3, 3, 1, 4, 3, 2, 3, 4, 2, 2, 2, 2, 4, 4, 4, 4, 2, 0, 1, 4, 1, 4, 2, 4, 2, 0, 1, 1, 4, 3, 3, 2, 0, 4, 3, 4, 0, 1, 0, 3, 4, 2, 4, 0, 4, 0, 4, 3, 3, 0, 2, 4, 3, 0, 2, 0, 4, 2, 3, 2, 1, 3, 4, 2, 2, 0, 4, 2, 2, 2, 3, 3, 2, 2, 0, 3, 4, 3, 2, 4, 3, 0, 1, 1, 1, 0, 4, 1, 2, 4, 2, 3, 2, 0, 2, 2, 0, 2, 3, 4, 2, 1, 2, 0, 2, 0, 2, 0, 1, 3, 3, 1, 0, 2, 3, 4, 1, 2, 1, 2, 2, 3, 1, 3, 3, 3, 3, 1, 1, 1, 3, 0, 3, 1, 4, 3, 4, 4, 2, 2, 3, 1, 4, 3, 0, 2, 3, 3, 4, 4, 3, 0, 4, 4, 2, 1, 2, 1, 4, 2, 3, 2, 4, 4, 2, 1, 3, 4, 0, 0, 1, 1, 4, 3, 0, 2, 4, 3, 1, 4, 2, 2, 3, 0, 2, 3, 4, 0, 1, 0, 1, 0, 3, 2, 3, 3, 0, 4, 0, 0, 1, 0, 2, 1, 4, 1, 3, 4, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 3, 1, 0, 3, 4, 2, 2, 1, 4, 3, 0, 4, 3, 2, 2, 4, 1, 0, 3, 4, 1, 4, 3, 2, 2, 0, 4, 0, 3, 2, 4, 1, 3, 3, 2, 0, 2, 3, 3, 0, 1, 3, 0, 3, 4, 2, 3, 1, 1, 4, 4, 2, 3, 1, 1, 3, 1, 0, 3, 1, 0, 3, 0, 4, 2, 3, 4, 4, 2, 3, 4, 0, 1, 3, 2, 2, 3, 1, 3, 2, 0, 0, 1, 3, 4, 3, 4, 3, 1, 2, 1, 3, 2, 0, 4, 2, 4, 4, 3, 1, 4, 0, 3, 2, 0, 2, 2, 4, 4, 2, 2, 4, 1, 3, 3, 0, 1] pubkeycol1080 = [3, 4, 4, 2, 4, 0, 3, 0, 3, 0, 1, 0, 3, 0, 4, 3, 4, 1, 3, 4, 2, 0, 4, 0, 3, 4, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 1, 3, 4, 4, 3, 1, 1, 1, 1, 1, 3, 0, 1, 2, 1, 4, 1, 1, 2, 2, 4, 4, 0, 2, 3, 1, 3, 2, 0, 0, 0, 1, 4, 2, 1, 0, 0, 0, 4, 3, 3, 0, 2, 3, 4, 2, 3, 2, 3, 3, 1, 1, 1, 0, 3, 4, 3, 1, 2, 1, 2, 1, 4, 3, 2, 4, 0, 2, 1, 3, 1, 1, 0, 1, 2, 0, 2, 0, 3, 3, 1, 4, 2, 3, 2, 1, 3, 4, 3, 4, 3, 0, 1, 4, 0, 0, 0, 2, 0, 3, 4, 3, 2, 0, 1, 4, 4, 2, 1, 2, 3, 2, 2, 1, 0, 3, 2, 3, 1, 1, 1, 2, 4, 1, 3, 1, 3, 2, 3, 2, 2, 2, 1, 4, 4, 4, 1, 3, 1, 2, 4, 4, 3, 3, 2, 0, 3, 1, 1, 2, 0, 4, 3, 0, 0, 4, 2, 0, 4, 1, 1, 1, 2, 2, 0, 1, 3, 2, 1, 1, 0, 2, 3, 3, 0, 4, 1, 1, 1, 4, 1, 3, 4, 2, 1, 2, 1, 3, 1, 4, 0, 4, 0, 2, 3, 1, 3, 2, 2, 3, 4, 1, 4, 2, 0, 4, 4, 2, 4, 1, 4, 2, 0, 2, 4, 2, 1, 1, 0, 1, 1, 3, 4, 3, 3, 2, 0, 3, 2, 0, 4, 3, 0, 0, 0, 3, 0, 4, 4, 2, 1, 1, 1, 0, 3, 0, 4, 2, 4, 3, 0, 0, 0, 0, 1, 4, 1, 4, 2, 1, 1, 0, 0, 3, 4, 4, 2, 1, 1, 3, 1, 4, 3, 3, 0, 4, 1, 0, 3, 2, 2, 3, 0, 3, 2, 3, 3, 2, 2, 3, 0, 3, 4, 4, 3, 1, 4, 2, 1, 4, 1, 0, 0, 4, 3, 1, 3, 4, 4, 0, 0, 4, 1, 0, 4, 2, 3, 1, 4, 0, 4, 0, 0, 2, 3, 1, 4, 0, 1, 4, 2, 2, 2, 3, 0, 2, 3, 2, 1, 1, 0, 4, 3, 2, 3, 3, 3, 4, 2, 0, 0, 2, 1, 0, 0, 3, 0, 1, 2, 4, 4, 2, 4, 1] pubkeycol1081 = [2, 2, 0, 4, 4, 4, 4, 3, 2, 3, 2, 0, 2, 3, 4, 2, 1, 1, 4, 0, 4, 3, 0, 0, 0, 0, 3, 0, 4, 3, 3, 1, 3, 4, 1, 3, 4, 2, 2, 2, 3, 1, 1, 4, 3, 0, 1, 2, 1, 3, 2, 1, 2, 3, 1, 0, 1, 3, 2, 1, 4, 0, 3, 3, 2, 2, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 1, 1, 0, 1, 4, 1, 3, 2, 3, 0, 0, 0, 3, 4, 0, 1, 2, 2, 0, 3, 4, 1, 0, 3, 4, 2, 2, 1, 2, 2, 1, 2, 0, 2, 3, 4, 0, 1, 4, 0, 0, 0, 0, 1, 2, 3, 4, 2, 3, 0, 2, 2, 0, 1, 3, 0, 3, 4, 0, 1, 4, 0, 1, 2, 2, 3, 1, 4, 3, 2, 2, 3, 4, 3, 2, 4, 4, 1, 3, 3, 3, 2, 4, 3, 0, 4, 0, 4, 2, 1, 2, 2, 3, 2, 0, 0, 2, 1, 4, 2, 1, 1, 4, 3, 0, 3, 4, 0, 1, 0, 2, 4, 0, 1, 3, 1, 2, 4, 3, 2, 4, 2, 4, 1, 2, 1, 2, 4, 0, 1, 3, 1, 0, 2, 2, 0, 3, 2, 2, 0, 0, 1, 0, 2, 4, 2, 1, 0, 1, 2, 1, 4, 3, 2, 0, 2, 2, 4, 0, 3, 2, 4, 1, 3, 2, 2, 1, 4, 0, 0, 3, 2, 1, 0, 0, 4, 2, 1, 0, 0, 1, 2, 0, 2, 2, 4, 2, 1, 2, 2, 2, 4, 4, 1, 0, 2, 0, 2, 3, 2, 1, 4, 3, 2, 1, 0, 2, 1, 4, 1, 2, 0, 4, 4, 3, 0, 2, 3, 3, 0, 2, 4, 3, 2, 0, 4, 0, 1, 0, 3, 3, 2, 4, 3, 1, 3, 2, 1, 1, 3, 1, 3, 3, 3, 3, 4, 4, 1, 2, 4, 0, 1, 3, 4, 3, 4, 1, 3, 1, 0, 4, 0, 3, 1, 2, 3, 3, 2, 4, 0, 2, 0, 1, 4, 2, 0, 3, 4, 2, 0, 1, 0, 1, 2, 4, 4, 4, 2, 4, 4, 2, 2, 0, 3, 2, 0, 0, 3, 4, 3, 1, 0, 3, 1, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 0, 1, 1, 4, 4, 2, 1, 4, 0, 3] pubkeycol1082 = [1, 0, 1, 0, 1, 2, 2, 4, 0, 1, 1, 4, 2, 3, 4, 0, 2, 1, 1, 0, 1, 2, 0, 4, 0, 4, 1, 4, 2, 2, 3, 4, 2, 4, 3, 4, 4, 2, 3, 4, 3, 2, 2, 2, 0, 2, 1, 2, 4, 1, 3, 3, 0, 4, 2, 2, 3, 3, 0, 2, 2, 2, 3, 4, 4, 2, 3, 4, 3, 2, 4, 4, 1, 2, 3, 0, 3, 1, 3, 4, 2, 3, 4, 0, 3, 4, 2, 3, 2, 0, 3, 2, 1, 2, 4, 2, 1, 2, 2, 2, 4, 3, 2, 1, 4, 3, 4, 0, 1, 3, 3, 2, 0, 2, 4, 0, 4, 3, 2, 1, 0, 3, 2, 2, 3, 4, 2, 3, 1, 4, 0, 4, 0, 4, 2, 4, 4, 3, 1, 1, 1, 0, 3, 1, 3, 1, 0, 0, 0, 3, 1, 2, 0, 4, 0, 2, 3, 4, 1, 4, 0, 3, 4, 3, 2, 4, 2, 1, 0, 0, 0, 3, 2, 4, 2, 0, 2, 2, 2, 3, 1, 1, 2, 1, 0, 0, 2, 1, 1, 3, 2, 3, 4, 1, 2, 2, 0, 1, 3, 4, 2, 3, 4, 0, 3, 3, 2, 0, 4, 2, 3, 4, 2, 2, 1, 3, 1, 0, 2, 2, 2, 2, 1, 2, 4, 1, 2, 2, 2, 4, 4, 0, 3, 2, 1, 0, 3, 3, 3, 0, 2, 3, 2, 2, 2, 0, 1, 4, 4, 4, 0, 0, 2, 3, 2, 2, 4, 0, 0, 1, 0, 4, 3, 3, 3, 4, 1, 2, 4, 1, 4, 0, 4, 3, 2, 3, 2, 2, 1, 4, 2, 1, 0, 1, 1, 0, 2, 4, 2, 0, 4, 0, 4, 1, 2, 3, 1, 4, 0, 1, 4, 2, 1, 3, 4, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 4, 3, 0, 3, 1, 2, 3, 1, 4, 4, 2, 3, 4, 2, 0, 4, 4, 0, 2, 4, 0, 3, 3, 1, 2, 2, 1, 2, 0, 0, 4, 1, 3, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 0, 0, 3, 0, 0, 2, 2, 3, 3, 1, 3, 0, 3, 0, 1, 3, 4, 4, 0, 4, 0, 1, 2, 4, 1, 1, 2, 3, 2, 4, 3, 0, 4, 4, 3, 1, 4, 0, 3, 0, 1] pubkeycol1083 = [0, 1, 1, 0, 2, 4, 3, 3, 4, 2, 1, 4, 1, 1, 1, 3, 0, 2, 1, 3, 4, 3, 3, 1, 4, 3, 4, 0, 4, 1, 2, 1, 1, 4, 3, 3, 0, 2, 3, 3, 1, 4, 0, 0, 2, 3, 0, 4, 3, 1, 2, 2, 4, 0, 1, 3, 1, 4, 1, 3, 4, 2, 0, 4, 2, 1, 0, 0, 4, 4, 1, 3, 4, 0, 0, 3, 3, 1, 0, 4, 2, 2, 4, 4, 3, 1, 1, 0, 4, 4, 4, 1, 3, 0, 4, 2, 1, 0, 4, 0, 1, 0, 3, 3, 4, 3, 4, 2, 4, 1, 2, 3, 1, 0, 4, 0, 2, 4, 4, 1, 4, 2, 0, 0, 3, 0, 4, 1, 0, 0, 1, 1, 4, 0, 4, 4, 0, 2, 1, 0, 0, 4, 0, 2, 0, 0, 3, 3, 2, 1, 1, 3, 4, 4, 2, 4, 4, 3, 0, 1, 1, 2, 0, 1, 4, 0, 2, 0, 4, 0, 3, 3, 1, 3, 4, 2, 3, 2, 3, 1, 4, 0, 4, 4, 2, 2, 3, 3, 4, 1, 4, 0, 3, 1, 3, 2, 0, 0, 1, 3, 3, 0, 0, 2, 1, 2, 2, 0, 4, 4, 1, 1, 3, 3, 3, 1, 4, 0, 2, 2, 2, 2, 3, 1, 0, 3, 4, 1, 2, 0, 0, 0, 4, 0, 1, 2, 3, 3, 3, 1, 2, 3, 1, 1, 2, 4, 3, 1, 1, 2, 0, 1, 4, 3, 1, 4, 3, 2, 3, 4, 3, 3, 0, 4, 0, 3, 2, 2, 1, 1, 1, 0, 1, 0, 4, 3, 2, 2, 0, 3, 0, 1, 3, 2, 4, 2, 1, 3, 2, 0, 2, 1, 3, 4, 0, 1, 4, 0, 1, 3, 1, 2, 0, 1, 3, 1, 1, 2, 1, 4, 1, 2, 4, 4, 0, 3, 3, 2, 4, 3, 4, 0, 1, 3, 0, 1, 2, 0, 0, 3, 3, 0, 1, 3, 2, 3, 1, 3, 0, 4, 0, 2, 2, 0, 1, 1, 1, 0, 4, 0, 1, 3, 1, 4, 3, 1, 1, 0, 2, 4, 3, 4, 3, 3, 2, 1, 3, 1, 2, 2, 0, 1, 0, 1, 4, 4, 2, 2, 1, 3, 2, 3, 4, 4, 4, 3, 3, 1, 4, 1, 2, 4, 4, 2, 0, 0, 3, 0, 2, 2] pubkeycol1084 = [4, 3, 4, 0, 1, 3, 0, 3, 4, 0, 4, 0, 4, 1, 1, 0, 2, 2, 2, 3, 2, 2, 2, 4, 2, 1, 1, 4, 4, 2, 3, 1, 1, 2, 3, 4, 3, 1, 1, 4, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 4, 1, 0, 1, 2, 0, 2, 1, 3, 2, 3, 2, 2, 0, 4, 3, 0, 1, 2, 2, 2, 3, 0, 0, 4, 2, 3, 2, 3, 0, 4, 4, 1, 3, 2, 3, 4, 4, 2, 0, 4, 2, 3, 4, 3, 4, 2, 4, 4, 4, 4, 2, 3, 2, 3, 0, 2, 4, 0, 1, 2, 3, 4, 0, 3, 4, 3, 3, 4, 0, 2, 3, 2, 4, 1, 0, 1, 2, 4, 0, 0, 2, 4, 1, 3, 2, 0, 4, 1, 0, 0, 0, 0, 1, 3, 0, 3, 1, 1, 2, 3, 0, 4, 0, 0, 4, 4, 0, 1, 3, 2, 3, 4, 1, 1, 1, 3, 1, 4, 1, 0, 1, 1, 3, 0, 2, 0, 1, 4, 3, 3, 4, 1, 3, 4, 3, 3, 3, 1, 4, 2, 3, 2, 4, 3, 4, 0, 0, 0, 2, 2, 0, 3, 2, 2, 0, 4, 4, 3, 3, 4, 3, 0, 4, 4, 2, 2, 2, 0, 0, 2, 3, 2, 3, 3, 0, 0, 4, 4, 4, 4, 2, 1, 4, 0, 4, 1, 2, 1, 2, 0, 4, 0, 4, 3, 4, 0, 4, 2, 2, 0, 3, 1, 1, 0, 0, 3, 1, 0, 3, 2, 3, 3, 0, 2, 1, 0, 4, 0, 2, 2, 4, 1, 4, 0, 2, 0, 1, 3, 3, 2, 4, 2, 1, 4, 1, 1, 3, 4, 2, 4, 4, 4, 3, 3, 0, 0, 1, 2, 4, 2, 0, 1, 1, 4, 1, 1, 4, 4, 0, 1, 0, 0, 3, 0, 4, 2, 1, 3, 1, 2, 2, 4, 1, 0, 3, 0, 2, 2, 1, 0, 4, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 0, 0, 4, 4, 1, 4, 0, 0, 0, 0, 4, 1, 3, 2, 3, 4, 4, 2, 1, 3, 4, 0, 3, 0, 2, 1, 0, 2, 2, 3, 0, 2, 3, 0, 1, 3, 1, 0, 4, 2, 0, 2, 4, 3, 4, 1, 4, 4, 2, 3, 1, 2, 0, 4, 1, 0] pubkeycol1085 = [3, 1, 2, 3, 4, 4, 1, 4, 4, 3, 0, 0, 4, 3, 4, 4, 2, 3, 2, 2, 4, 2, 4, 4, 3, 3, 3, 3, 1, 0, 4, 1, 2, 1, 1, 2, 3, 2, 0, 1, 4, 0, 4, 2, 2, 2, 1, 3, 4, 4, 3, 0, 1, 3, 0, 1, 3, 0, 0, 2, 1, 3, 1, 2, 3, 1, 4, 3, 1, 4, 1, 0, 0, 4, 0, 3, 2, 2, 0, 0, 3, 1, 1, 3, 4, 0, 3, 4, 0, 1, 2, 1, 0, 1, 4, 4, 4, 0, 0, 4, 4, 0, 2, 2, 2, 4, 1, 4, 3, 0, 2, 3, 4, 1, 4, 4, 0, 2, 1, 4, 0, 3, 0, 2, 4, 0, 2, 4, 0, 4, 4, 2, 4, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 2, 3, 4, 4, 3, 4, 3, 2, 2, 4, 1, 1, 3, 4, 1, 2, 4, 3, 0, 4, 0, 0, 3, 2, 0, 2, 0, 3, 2, 0, 3, 3, 2, 0, 3, 4, 3, 2, 0, 0, 2, 3, 0, 2, 1, 4, 2, 4, 1, 3, 1, 4, 4, 2, 0, 1, 4, 2, 3, 0, 3, 4, 1, 1, 0, 4, 1, 4, 0, 4, 2, 1, 0, 1, 4, 1, 2, 2, 2, 0, 2, 4, 1, 4, 3, 0, 1, 3, 3, 4, 2, 0, 2, 0, 3, 1, 3, 4, 3, 3, 1, 0, 1, 0, 2, 1, 2, 0, 4, 1, 3, 4, 3, 4, 1, 3, 4, 0, 4, 0, 4, 4, 0, 4, 3, 0, 4, 0, 1, 0, 3, 3, 1, 3, 2, 2, 2, 1, 4, 0, 4, 3, 2, 3, 3, 0, 2, 4, 4, 4, 1, 3, 3, 0, 1, 1, 4, 1, 1, 4, 0, 3, 0, 0, 4, 0, 4, 2, 4, 1, 0, 0, 3, 0, 0, 0, 4, 2, 2, 1, 2, 3, 3, 0, 4, 3, 3, 1, 0, 2, 2, 0, 0, 4, 4, 1, 2, 1, 1, 0, 1, 4, 0, 4, 3, 4, 0, 1, 3, 0, 1, 2, 4, 0, 3, 2, 2, 1, 4, 4, 3, 2, 0, 0, 1, 3, 4, 2, 0, 4, 4, 0, 1, 1, 0, 3, 3, 4, 4, 0, 3, 0, 0, 3, 1, 0, 3, 2, 3, 4, 4, 2, 0, 0, 0, 0] pubkeycol1086 = [2, 1, 2, 0, 2, 1, 4, 0, 4, 3, 1, 2, 1, 0, 2, 3, 2, 0, 0, 1, 2, 4, 1, 2, 0, 2, 4, 4, 4, 1, 3, 2, 4, 1, 4, 0, 1, 1, 0, 0, 1, 4, 2, 3, 0, 1, 2, 4, 4, 2, 4, 0, 3, 3, 2, 3, 0, 0, 1, 2, 4, 3, 2, 1, 4, 2, 4, 0, 3, 1, 4, 4, 0, 4, 1, 1, 1, 1, 0, 3, 0, 4, 2, 0, 2, 2, 2, 3, 0, 1, 4, 3, 3, 2, 1, 3, 4, 3, 0, 4, 1, 4, 2, 0, 4, 2, 0, 0, 4, 2, 0, 2, 3, 0, 1, 3, 2, 2, 4, 4, 4, 1, 0, 1, 2, 0, 3, 3, 1, 2, 0, 3, 0, 2, 4, 3, 4, 0, 1, 3, 4, 1, 0, 3, 1, 4, 3, 1, 4, 1, 1, 0, 2, 2, 3, 1, 1, 3, 3, 3, 3, 0, 0, 1, 3, 3, 0, 3, 3, 1, 1, 4, 0, 2, 4, 4, 2, 0, 0, 4, 4, 1, 3, 2, 4, 4, 0, 3, 0, 0, 0, 1, 1, 3, 2, 0, 1, 1, 2, 3, 1, 0, 0, 3, 1, 1, 1, 1, 2, 0, 4, 2, 0, 1, 0, 2, 4, 2, 0, 4, 0, 1, 4, 4, 3, 2, 4, 4, 0, 3, 0, 1, 2, 0, 3, 2, 3, 3, 4, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 1, 4, 4, 0, 3, 3, 0, 1, 3, 2, 3, 0, 1, 3, 3, 0, 0, 4, 0, 3, 0, 3, 0, 4, 4, 0, 3, 2, 1, 2, 0, 3, 1, 4, 1, 1, 2, 1, 4, 0, 3, 1, 0, 1, 0, 2, 0, 3, 1, 3, 1, 3, 0, 4, 3, 3, 4, 2, 2, 0, 4, 0, 0, 3, 4, 1, 0, 1, 1, 4, 2, 1, 0, 3, 2, 4, 1, 0, 3, 4, 1, 3, 3, 0, 3, 4, 4, 0, 1, 2, 1, 1, 4, 2, 4, 2, 4, 2, 3, 4, 4, 4, 4, 2, 1, 4, 0, 1, 3, 2, 0, 0, 3, 3, 0, 3, 1, 4, 4, 0, 3, 1, 2, 4, 0, 0, 0, 3, 1, 1, 2, 1, 4, 4, 3, 3, 1, 4, 2, 3, 1, 3, 4, 3, 2, 1, 0, 4, 2, 0, 3] pubkeycol1087 = [1, 2, 1, 3, 1, 2, 3, 4, 1, 4, 4, 2, 1, 1, 3, 2, 0, 1, 3, 1, 1, 1, 3, 0, 0, 2, 3, 2, 1, 4, 3, 3, 0, 1, 0, 4, 2, 0, 0, 1, 4, 1, 2, 3, 1, 4, 0, 0, 3, 2, 2, 3, 2, 4, 0, 2, 1, 2, 3, 3, 4, 1, 3, 3, 1, 2, 2, 1, 1, 1, 0, 3, 3, 2, 2, 4, 2, 2, 2, 1, 2, 2, 4, 0, 2, 4, 4, 2, 2, 3, 4, 3, 2, 0, 4, 4, 1, 4, 4, 0, 1, 0, 3, 0, 3, 3, 3, 4, 4, 1, 2, 4, 0, 3, 2, 3, 0, 0, 0, 2, 3, 0, 0, 0, 4, 1, 1, 4, 2, 1, 1, 3, 2, 0, 0, 0, 4, 2, 3, 3, 3, 4, 1, 0, 1, 2, 1, 4, 3, 0, 3, 1, 2, 3, 0, 4, 2, 0, 1, 4, 3, 2, 1, 4, 1, 0, 1, 0, 4, 1, 0, 3, 3, 3, 1, 1, 3, 0, 4, 3, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 4, 1, 3, 2, 4, 2, 3, 4, 4, 4, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 4, 1, 4, 2, 4, 3, 1, 2, 1, 4, 4, 2, 4, 3, 1, 3, 2, 2, 3, 2, 2, 2, 3, 4, 0, 3, 4, 2, 0, 4, 1, 2, 3, 4, 3, 1, 0, 1, 0, 3, 3, 2, 0, 4, 3, 1, 4, 0, 1, 1, 0, 3, 4, 4, 2, 1, 3, 1, 3, 3, 4, 0, 2, 0, 1, 0, 4, 0, 3, 0, 4, 1, 3, 1, 2, 0, 4, 0, 3, 0, 4, 1, 1, 0, 4, 2, 2, 0, 4, 1, 3, 2, 2, 0, 3, 1, 1, 4, 4, 1, 4, 0, 0, 3, 3, 2, 1, 0, 4, 4, 1, 4, 1, 0, 0, 1, 3, 0, 1, 3, 0, 4, 4, 1, 2, 1, 3, 2, 3, 3, 1, 2, 1, 4, 1, 4, 2, 3, 0, 1, 2, 4, 1, 3, 2, 3, 3, 3, 3, 4, 0, 2, 2, 1, 4, 4, 1, 2, 0, 3, 2, 2, 2, 2, 1, 3, 0, 4, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 4, 2, 3, 4, 4, 4, 4] pubkeycol1088 = [3, 3, 1, 3, 4, 4, 3, 3, 4, 1, 2, 3, 2, 2, 4, 2, 0, 4, 2, 2, 2, 2, 0, 2, 4, 4, 3, 4, 0, 3, 2, 2, 2, 2, 0, 4, 4, 3, 4, 2, 1, 4, 1, 3, 2, 4, 3, 2, 0, 4, 3, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 0, 0, 0, 1, 4, 3, 0, 1, 2, 4, 1, 2, 2, 0, 4, 2, 4, 3, 4, 0, 2, 2, 3, 1, 2, 4, 1, 4, 4, 0, 3, 1, 0, 3, 0, 3, 2, 2, 0, 1, 2, 1, 3, 3, 3, 2, 1, 4, 2, 2, 1, 1, 0, 1, 3, 3, 2, 1, 4, 1, 4, 3, 3, 3, 1, 4, 3, 3, 2, 3, 3, 4, 2, 2, 2, 2, 1, 4, 3, 2, 3, 1, 0, 3, 2, 3, 3, 2, 4, 3, 0, 3, 1, 0, 4, 0, 0, 0, 0, 4, 0, 3, 1, 0, 3, 4, 2, 3, 4, 2, 4, 1, 1, 4, 2, 2, 1, 2, 1, 4, 0, 4, 1, 3, 3, 1, 3, 2, 2, 3, 3, 4, 1, 4, 0, 2, 3, 1, 2, 0, 3, 0, 0, 1, 0, 3, 2, 4, 3, 1, 2, 1, 0, 3, 2, 1, 4, 4, 2, 4, 0, 1, 1, 2, 4, 1, 1, 3, 3, 0, 1, 0, 4, 2, 4, 1, 2, 1, 0, 4, 4, 0, 4, 4, 1, 2, 3, 0, 2, 4, 0, 4, 4, 0, 3, 2, 2, 1, 1, 4, 4, 1, 3, 2, 4, 3, 4, 0, 0, 1, 3, 4, 0, 0, 1, 4, 3, 2, 4, 0, 4, 1, 4, 1, 1, 0, 4, 4, 2, 0, 0, 3, 2, 3, 3, 0, 3, 0, 4, 4, 2, 1, 0, 2, 0, 2, 1, 3, 2, 4, 3, 4, 1, 2, 3, 0, 0, 0, 2, 3, 0, 4, 1, 2, 2, 1, 0, 3, 4, 3, 0, 1, 2, 2, 3, 3, 2, 1, 4, 3, 0, 2, 4, 2, 4, 2, 1, 0, 3, 1, 2, 0, 1, 1, 4, 0, 4, 3, 1, 1, 3, 0, 3, 1, 2, 3, 1, 0, 1, 0, 4, 0, 3, 3, 1, 1, 2, 2, 4, 0, 1, 3, 2, 1, 1, 0, 1, 0, 0, 0, 3, 1, 3, 0, 1, 3, 4, 2, 1] pubkeycol1089 = [2, 4, 1, 4, 0, 1, 1, 1, 3, 0, 2, 0, 0, 2, 4, 4, 2, 1, 1, 0, 2, 2, 4, 3, 2, 3, 4, 3, 2, 4, 0, 0, 4, 3, 3, 2, 0, 2, 4, 1, 0, 4, 0, 0, 1, 4, 3, 3, 0, 2, 3, 3, 1, 3, 0, 4, 1, 4, 0, 4, 4, 0, 1, 3, 1, 2, 3, 3, 4, 1, 3, 1, 0, 3, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 4, 4, 1, 0, 1, 4, 4, 4, 3, 2, 4, 2, 3, 3, 0, 4, 4, 2, 4, 3, 2, 2, 4, 3, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 4, 2, 3, 1, 0, 3, 0, 1, 2, 1, 1, 3, 2, 2, 1, 4, 1, 1, 1, 1, 2, 4, 0, 1, 2, 3, 3, 0, 0, 0, 2, 1, 4, 3, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 3, 1, 1, 4, 4, 2, 4, 0, 3, 4, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 3, 0, 3, 0, 0, 0, 1, 0, 3, 2, 1, 4, 3, 0, 4, 2, 2, 1, 1, 4, 2, 4, 0, 1, 3, 2, 2, 3, 0, 0, 4, 4, 0, 0, 2, 3, 4, 0, 2, 4, 2, 3, 3, 3, 2, 4, 1, 3, 0, 2, 1, 3, 0, 2, 0, 1, 1, 1, 0, 2, 4, 3, 0, 0, 0, 1, 1, 0, 3, 0, 0, 0, 3, 4, 2, 2, 1, 3, 0, 0, 0, 1, 2, 2, 3, 2, 1, 4, 2, 1, 0, 0, 3, 1, 1, 1, 3, 1, 3, 0, 3, 0, 0, 0, 1, 2, 0, 2, 2, 0, 3, 1, 1, 0, 2, 0, 2, 4, 0, 1, 0, 3, 4, 4, 3, 1, 1, 4, 0, 2, 0, 0, 2, 4, 1, 3, 3, 3, 3, 1, 2, 4, 4, 2, 0, 4, 3, 2, 2, 3, 3, 3, 1, 0, 3, 3, 3, 0, 1, 3, 0, 4, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 4, 3, 3, 0, 0, 1, 1, 0, 3, 1, 3, 4, 2, 4, 1, 0, 0, 4, 1, 1, 0, 0, 1, 3, 3, 3, 3, 4, 2, 3, 4, 0, 4, 3, 2, 2, 3, 4, 3, 0, 0, 0, 0, 4] pubkeycol1090 = [4, 3, 1, 3, 3, 2, 2, 0, 3, 2, 2, 4, 4, 1, 0, 3, 2, 2, 1, 1, 4, 3, 1, 2, 3, 4, 1, 3, 4, 3, 0, 4, 4, 2, 1, 2, 3, 2, 3, 2, 1, 4, 0, 3, 4, 1, 1, 1, 3, 3, 4, 3, 0, 1, 2, 1, 2, 1, 4, 3, 0, 2, 2, 4, 1, 1, 1, 3, 1, 3, 0, 3, 3, 0, 3, 0, 3, 1, 3, 3, 0, 4, 4, 3, 1, 2, 0, 1, 3, 2, 0, 2, 0, 2, 3, 0, 0, 3, 4, 4, 4, 1, 4, 2, 3, 4, 3, 0, 1, 0, 2, 4, 4, 4, 1, 2, 0, 0, 3, 4, 4, 1, 1, 4, 0, 2, 1, 1, 0, 1, 0, 4, 3, 1, 2, 3, 4, 0, 0, 2, 0, 1, 0, 2, 0, 2, 3, 0, 2, 1, 3, 3, 2, 1, 3, 3, 0, 0, 1, 1, 0, 3, 3, 2, 2, 0, 4, 0, 0, 2, 2, 0, 0, 1, 3, 1, 4, 2, 4, 4, 3, 1, 0, 2, 0, 1, 1, 3, 4, 3, 1, 2, 4, 3, 1, 1, 2, 0, 3, 1, 1, 2, 0, 0, 0, 4, 4, 0, 3, 4, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 3, 0, 1, 1, 4, 1, 0, 0, 3, 1, 2, 2, 2, 4, 4, 2, 2, 1, 0, 3, 4, 0, 4, 0, 3, 3, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 4, 3, 3, 3, 4, 3, 0, 2, 0, 1, 2, 4, 1, 3, 1, 2, 3, 0, 3, 1, 0, 0, 1, 2, 3, 4, 3, 1, 3, 4, 0, 4, 1, 3, 0, 0, 1, 1, 0, 1, 3, 3, 3, 0, 2, 2, 3, 2, 0, 1, 2, 4, 4, 3, 4, 3, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 4, 2, 0, 0, 2, 1, 2, 4, 2, 2, 0, 1, 1, 3, 0, 1, 0, 2, 3, 0, 4, 4, 4, 0, 1, 2, 4, 3, 2, 0, 0, 4, 0, 1, 1, 1, 3, 0, 0, 0, 3, 3, 0, 1, 0, 0, 1, 3, 0, 3, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 1, 1, 0, 0, 4, 0, 4, 1, 3, 4, 3, 0, 2, 4, 2] pubkeycol1091 = [3, 3, 3, 2, 3, 2, 3, 1, 3, 4, 0, 0, 0, 3, 1, 0, 1, 3, 4, 2, 4, 3, 0, 2, 1, 1, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 3, 1, 0, 2, 0, 2, 4, 0, 2, 4, 0, 1, 2, 4, 4, 2, 4, 4, 0, 1, 2, 3, 3, 3, 4, 0, 2, 3, 1, 4, 2, 1, 3, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 1, 3, 3, 0, 0, 3, 4, 4, 4, 3, 2, 2, 4, 0, 2, 4, 4, 4, 1, 4, 1, 1, 4, 0, 1, 0, 1, 1, 4, 1, 1, 3, 0, 3, 0, 1, 0, 2, 2, 1, 0, 2, 1, 3, 1, 0, 2, 4, 4, 4, 2, 1, 0, 4, 4, 3, 0, 0, 1, 0, 4, 2, 2, 3, 3, 0, 0, 3, 3, 4, 2, 4, 2, 0, 0, 2, 2, 4, 0, 4, 0, 3, 1, 4, 3, 1, 4, 3, 1, 1, 2, 0, 3, 4, 4, 4, 0, 1, 3, 4, 1, 3, 3, 3, 2, 0, 4, 4, 2, 3, 3, 3, 0, 4, 0, 4, 2, 4, 0, 1, 3, 0, 4, 3, 3, 0, 2, 0, 4, 3, 4, 1, 3, 1, 2, 4, 3, 0, 2, 0, 4, 2, 2, 4, 3, 2, 4, 1, 2, 2, 4, 0, 4, 0, 2, 3, 2, 3, 2, 1, 2, 1, 0, 0, 0, 1, 3, 0, 2, 0, 0, 0, 4, 1, 1, 0, 3, 3, 2, 1, 0, 1, 0, 1, 2, 3, 1, 0, 4, 3, 0, 0, 4, 4, 1, 3, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 3, 3, 4, 1, 3, 2, 2, 2, 4, 1, 3, 0, 1, 1, 4, 2, 1, 4, 4, 3, 0, 0, 3, 3, 3, 3, 2, 2, 4, 2, 4, 1, 3, 3, 3, 4, 4, 4, 4, 1, 4, 3, 2, 0, 3, 1, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 2, 3, 3, 1, 0, 3, 1, 3, 1, 3, 1, 4, 0, 2, 2, 4, 3, 2, 4, 2, 2, 3, 0, 3, 2, 2, 1, 3, 0, 4, 0, 2, 4, 3, 1, 4, 2, 2, 2, 0, 0, 2, 0, 1, 4, 4, 4, 2, 4, 1, 4] pubkeycol1092 = [2, 1, 0, 2, 4, 0, 0, 3, 1, 1, 4, 4, 3, 3, 0, 4, 4, 1, 3, 3, 2, 3, 0, 0, 3, 3, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 4, 0, 3, 4, 3, 4, 1, 4, 2, 3, 1, 3, 0, 0, 2, 2, 0, 4, 2, 2, 2, 4, 3, 2, 2, 0, 4, 1, 2, 1, 4, 1, 1, 4, 0, 2, 2, 0, 1, 3, 4, 3, 4, 1, 0, 1, 0, 4, 4, 3, 2, 0, 4, 2, 3, 1, 3, 2, 4, 1, 3, 1, 2, 1, 0, 1, 2, 3, 3, 3, 3, 1, 1, 2, 1, 2, 2, 4, 3, 2, 3, 4, 3, 1, 2, 4, 3, 1, 1, 2, 3, 4, 3, 0, 3, 0, 0, 2, 4, 3, 1, 4, 3, 1, 2, 1, 0, 1, 1, 0, 2, 2, 3, 3, 0, 0, 3, 0, 4, 0, 0, 1, 4, 1, 0, 2, 1, 3, 1, 0, 2, 0, 4, 2, 3, 3, 0, 3, 4, 1, 3, 0, 0, 1, 3, 2, 3, 4, 1, 2, 4, 2, 2, 1, 0, 1, 1, 1, 2, 3, 3, 1, 2, 0, 4, 2, 4, 3, 4, 2, 4, 0, 4, 4, 3, 0, 4, 1, 2, 2, 2, 4, 3, 4, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 3, 2, 0, 0, 2, 2, 3, 2, 2, 2, 1, 4, 0, 3, 1, 3, 2, 1, 1, 3, 0, 4, 4, 2, 1, 4, 4, 0, 0, 4, 3, 0, 3, 0, 0, 2, 2, 4, 3, 3, 0, 2, 2, 3, 4, 2, 0, 3, 3, 1, 1, 4, 2, 4, 2, 0, 4, 2, 2, 0, 0, 2, 4, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 4, 2, 3, 0, 2, 4, 0, 0, 1, 0, 4, 4, 3, 4, 3, 1, 4, 3, 0, 0, 0, 1, 3, 4, 2, 3, 2, 1, 0, 0, 3, 1, 3, 1, 0, 3, 2, 3, 0, 0, 1, 4, 1, 2, 1, 1, 3, 3, 0, 2, 3, 4, 4, 0, 3, 0, 0, 3, 3, 1, 0, 1, 3, 4, 0, 1, 3, 4, 0, 0, 2, 3, 3, 3, 1, 0, 1, 0, 0, 2, 4, 0, 1, 4, 3, 4, 2, 2, 4, 2] pubkeycol1093 = [4, 2, 0, 1, 3, 0, 3, 0, 0, 2, 2, 0, 3, 3, 1, 2, 0, 2, 0, 3, 1, 1, 2, 3, 0, 0, 3, 0, 0, 2, 0, 1, 1, 4, 1, 1, 0, 3, 3, 4, 4, 1, 1, 0, 4, 3, 1, 1, 1, 1, 0, 2, 4, 0, 3, 0, 3, 1, 4, 1, 0, 0, 4, 0, 0, 3, 1, 4, 4, 4, 2, 2, 4, 1, 0, 0, 0, 1, 2, 0, 1, 0, 4, 0, 4, 1, 3, 0, 2, 0, 1, 0, 0, 3, 0, 4, 0, 1, 1, 1, 4, 0, 1, 0, 4, 4, 2, 3, 3, 4, 4, 3, 2, 2, 0, 2, 1, 1, 2, 1, 3, 3, 2, 4, 1, 3, 1, 2, 2, 4, 2, 2, 2, 3, 4, 2, 0, 1, 2, 4, 1, 2, 2, 3, 2, 0, 1, 2, 4, 1, 2, 2, 2, 0, 0, 2, 1, 3, 0, 2, 2, 4, 4, 4, 2, 0, 0, 3, 3, 4, 1, 0, 2, 2, 4, 4, 1, 0, 0, 1, 2, 2, 2, 2, 3, 4, 0, 1, 2, 0, 0, 3, 0, 3, 3, 1, 2, 3, 2, 2, 0, 4, 0, 0, 3, 1, 0, 1, 4, 0, 3, 1, 0, 0, 3, 2, 3, 2, 0, 4, 1, 0, 4, 3, 2, 1, 0, 2, 4, 0, 3, 2, 0, 2, 4, 3, 1, 1, 0, 2, 0, 2, 2, 4, 4, 0, 4, 0, 4, 0, 4, 2, 4, 1, 3, 4, 3, 1, 4, 3, 2, 0, 3, 3, 0, 0, 3, 0, 2, 2, 2, 0, 0, 4, 3, 1, 2, 1, 3, 2, 3, 1, 4, 3, 1, 1, 0, 4, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 3, 3, 0, 2, 0, 0, 4, 1, 4, 3, 4, 4, 1, 4, 3, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 3, 0, 1, 1, 2, 1, 1, 0, 3, 2, 1, 3, 3, 4, 2, 1, 2, 0, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 0, 1, 1, 3, 4, 2, 2, 4, 0, 3, 1, 1, 4, 4, 3, 2, 3, 1, 0, 2, 3, 2, 1, 0, 2, 3, 2, 1, 1, 2, 4, 0, 3, 0, 2, 0, 2, 3, 0, 3, 1, 2, 4, 4, 4, 3] pubkeycol1094 = [4, 1, 4, 4, 3, 2, 3, 2, 0, 1, 4, 3, 1, 4, 0, 4, 2, 4, 0, 4, 1, 0, 1, 3, 0, 2, 4, 4, 2, 4, 3, 3, 1, 3, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 4, 3, 2, 0, 0, 1, 2, 3, 2, 4, 1, 1, 3, 4, 0, 3, 2, 4, 2, 3, 2, 3, 4, 4, 3, 1, 0, 4, 4, 2, 1, 0, 4, 4, 2, 2, 0, 1, 4, 2, 0, 1, 1, 3, 3, 2, 1, 1, 1, 0, 0, 2, 3, 3, 1, 4, 2, 0, 2, 0, 2, 4, 3, 2, 1, 4, 2, 4, 4, 2, 2, 1, 2, 2, 1, 2, 4, 0, 2, 3, 3, 2, 4, 2, 1, 2, 2, 1, 2, 3, 2, 0, 3, 2, 2, 2, 3, 2, 0, 1, 3, 0, 1, 3, 3, 3, 3, 0, 3, 2, 1, 2, 2, 0, 1, 0, 3, 4, 2, 3, 2, 1, 2, 0, 1, 2, 3, 1, 4, 2, 2, 1, 3, 1, 0, 4, 0, 0, 0, 4, 0, 2, 2, 3, 0, 0, 3, 2, 0, 0, 2, 1, 1, 4, 3, 3, 3, 0, 3, 1, 3, 1, 4, 4, 0, 3, 3, 3, 2, 2, 3, 1, 4, 0, 1, 2, 0, 2, 3, 3, 0, 1, 4, 0, 2, 0, 0, 1, 0, 3, 0, 4, 3, 0, 1, 3, 1, 0, 4, 0, 0, 2, 3, 1, 0, 3, 4, 1, 4, 2, 4, 2, 0, 3, 0, 2, 1, 2, 2, 3, 2, 0, 1, 4, 3, 4, 1, 3, 2, 4, 2, 2, 0, 1, 2, 1, 1, 2, 2, 3, 4, 3, 2, 2, 0, 2, 4, 2, 4, 2, 0, 4, 4, 0, 3, 4, 1, 1, 2, 1, 2, 0, 0, 2, 0, 4, 1, 3, 4, 2, 3, 1, 3, 1, 2, 0, 4, 0, 2, 4, 0, 4, 0, 2, 1, 1, 4, 4, 4, 0, 1, 0, 3, 0, 4, 0, 0, 4, 4, 3, 2, 1, 3, 1, 4, 2, 4, 4, 1, 2, 4, 3, 2, 3, 2, 2, 3, 0, 2, 2, 2, 4, 2, 4, 3, 4, 4, 0, 4, 3, 0, 2, 1, 2, 3, 2, 1, 3, 1, 0, 2, 2, 2, 2, 3, 2, 1, 0, 2, 0, 1] pubkeycol1095 = [3, 2, 4, 3, 4, 3, 1, 4, 1, 4, 3, 0, 0, 3, 4, 0, 1, 3, 0, 4, 4, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 4, 4, 2, 0, 0, 2, 0, 3, 0, 1, 3, 4, 3, 0, 0, 3, 2, 2, 3, 1, 2, 4, 4, 0, 3, 4, 1, 1, 0, 0, 1, 0, 2, 4, 3, 0, 2, 0, 3, 3, 1, 4, 4, 4, 3, 0, 2, 3, 4, 3, 1, 0, 3, 1, 4, 2, 4, 1, 1, 4, 0, 0, 4, 2, 3, 3, 1, 2, 2, 3, 2, 3, 4, 2, 3, 0, 1, 1, 4, 2, 3, 1, 4, 1, 4, 4, 3, 2, 4, 2, 2, 4, 1, 4, 4, 1, 4, 4, 0, 2, 0, 2, 4, 0, 4, 3, 0, 3, 3, 3, 4, 1, 1, 1, 2, 4, 3, 2, 2, 0, 1, 2, 4, 1, 3, 4, 3, 2, 1, 1, 0, 3, 1, 4, 3, 4, 2, 0, 3, 4, 3, 2, 2, 1, 2, 1, 0, 2, 1, 2, 3, 0, 1, 1, 2, 0, 4, 0, 0, 0, 2, 0, 4, 3, 3, 3, 4, 4, 0, 3, 4, 2, 1, 3, 0, 1, 4, 1, 4, 0, 1, 3, 0, 4, 2, 4, 3, 4, 2, 2, 0, 3, 2, 1, 3, 1, 3, 2, 1, 1, 1, 3, 4, 4, 2, 4, 3, 0, 0, 2, 3, 3, 0, 3, 1, 2, 0, 4, 2, 0, 0, 3, 1, 2, 4, 4, 2, 1, 1, 0, 3, 3, 1, 1, 3, 4, 4, 2, 1, 1, 4, 2, 3, 4, 2, 4, 0, 0, 2, 4, 4, 4, 2, 2, 4, 4, 0, 4, 2, 2, 0, 1, 2, 1, 4, 1, 1, 4, 1, 1, 4, 2, 4, 2, 2, 3, 2, 2, 3, 4, 4, 2, 0, 3, 2, 1, 3, 3, 1, 2, 2, 4, 0, 1, 2, 4, 0, 3, 4, 4, 4, 4, 4, 2, 0, 4, 2, 1, 4, 0, 1, 2, 4, 2, 4, 3, 3, 0, 4, 3, 3, 2, 1, 1, 0, 1, 3, 4, 3, 2, 4, 2, 2, 4, 0, 2, 3, 1, 4, 0, 0, 4, 4, 1, 3, 0, 4, 0, 3, 3, 4, 1, 4, 3, 1, 3, 3, 3, 2, 0, 2, 1, 4] pubkeycol1096 = [4, 2, 3, 2, 1, 2, 1, 0, 4, 4, 1, 1, 0, 3, 4, 0, 3, 2, 4, 4, 0, 3, 2, 3, 2, 4, 0, 2, 2, 3, 2, 0, 3, 4, 0, 1, 4, 3, 0, 2, 0, 1, 1, 0, 1, 4, 1, 1, 1, 0, 3, 2, 2, 4, 3, 0, 4, 3, 2, 3, 3, 1, 3, 2, 4, 3, 1, 0, 2, 0, 1, 4, 3, 0, 0, 4, 2, 0, 2, 1, 0, 4, 3, 2, 2, 4, 1, 3, 2, 1, 3, 3, 1, 0, 2, 3, 3, 4, 0, 1, 4, 1, 0, 4, 1, 1, 1, 3, 3, 3, 3, 0, 2, 1, 4, 4, 3, 2, 3, 0, 2, 1, 1, 4, 2, 2, 2, 4, 4, 3, 1, 0, 4, 4, 2, 0, 4, 0, 2, 4, 4, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 3, 2, 3, 4, 0, 1, 4, 2, 1, 4, 2, 1, 0, 3, 3, 0, 3, 1, 2, 3, 4, 2, 1, 3, 4, 0, 2, 2, 1, 3, 1, 2, 4, 2, 3, 2, 3, 3, 3, 2, 0, 3, 1, 1, 4, 2, 4, 3, 2, 2, 2, 0, 1, 4, 3, 1, 3, 2, 1, 0, 0, 2, 3, 1, 2, 1, 3, 0, 2, 0, 1, 0, 4, 1, 2, 0, 1, 1, 0, 1, 3, 3, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 4, 3, 1, 3, 3, 0, 2, 1, 2, 0, 4, 2, 2, 3, 3, 3, 4, 2, 4, 3, 2, 4, 3, 4, 4, 3, 3, 2, 1, 4, 1, 3, 4, 1, 3, 4, 2, 4, 2, 4, 4, 2, 2, 4, 1, 3, 2, 3, 4, 3, 4, 2, 0, 2, 0, 2, 2, 3, 4, 2, 1, 0, 1, 1, 2, 3, 3, 3, 4, 4, 1, 0, 0, 1, 4, 1, 2, 0, 1, 4, 1, 2, 1, 2, 2, 0, 4, 4, 4, 2, 1, 3, 1, 2, 1, 3, 4, 2, 1, 1, 4, 3, 1, 4, 3, 3, 0, 3, 1, 1, 0, 1, 4, 4, 4, 3, 3, 3, 1, 2, 0, 2, 1, 3, 4, 4, 0, 0, 2, 0, 0, 3, 0, 3, 2, 4, 1, 1, 2, 0, 2, 2, 4, 4, 3, 2, 0, 0, 2, 1, 3, 3, 2] pubkeycol1097 = [2, 0, 3, 2, 0, 2, 4, 3, 2, 3, 2, 3, 4, 3, 2, 3, 0, 2, 0, 0, 1, 4, 1, 4, 2, 2, 4, 1, 2, 4, 1, 1, 1, 1, 0, 0, 0, 3, 4, 0, 1, 1, 1, 0, 1, 2, 3, 1, 2, 1, 2, 4, 3, 4, 4, 2, 2, 1, 3, 0, 3, 0, 0, 3, 4, 2, 3, 4, 4, 3, 0, 0, 0, 1, 3, 0, 1, 1, 1, 3, 2, 4, 1, 2, 4, 2, 0, 1, 3, 3, 1, 4, 4, 0, 2, 0, 1, 1, 0, 4, 1, 1, 1, 4, 4, 4, 3, 2, 1, 3, 0, 3, 0, 2, 1, 4, 0, 1, 3, 2, 1, 3, 2, 0, 3, 0, 0, 4, 0, 0, 3, 4, 0, 0, 2, 0, 3, 3, 2, 0, 2, 0, 0, 3, 3, 1, 3, 3, 4, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 4, 2, 3, 3, 3, 0, 1, 3, 0, 0, 0, 0, 2, 1, 2, 4, 1, 4, 0, 2, 1, 2, 0, 4, 0, 3, 4, 2, 3, 3, 2, 3, 1, 0, 3, 1, 0, 1, 2, 1, 3, 1, 2, 2, 2, 2, 0, 1, 3, 4, 3, 4, 1, 4, 0, 0, 1, 1, 0, 1, 4, 2, 4, 2, 3, 4, 3, 3, 0, 2, 1, 4, 3, 4, 2, 1, 2, 2, 2, 1, 4, 3, 3, 1, 4, 0, 0, 4, 2, 1, 3, 4, 0, 2, 1, 3, 0, 0, 3, 0, 0, 0, 0, 2, 1, 0, 3, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 4, 1, 1, 3, 3, 3, 2, 0, 3, 4, 3, 1, 2, 4, 2, 0, 0, 1, 3, 2, 1, 2, 0, 1, 2, 2, 1, 4, 1, 1, 4, 2, 4, 3, 1, 1, 3, 2, 4, 1, 1, 2, 2, 3, 1, 4, 4, 0, 0, 0, 3, 2, 0, 0, 0, 2, 0, 2, 2, 4, 2, 1, 4, 1, 0, 2, 2, 3, 2, 2, 3, 2, 1, 3, 0, 2, 2, 0, 3, 3, 2, 3, 2, 4, 4, 4, 3, 1, 4, 2, 0, 1, 2, 4, 0, 1, 0, 4, 3, 3, 4, 4, 0, 2, 2, 3, 0, 1, 4, 2, 4, 0, 3, 1, 4, 4, 2, 0, 3, 1, 0, 1, 2, 0] pubkeycol1098 = [1, 3, 3, 3, 4, 1, 0, 1, 0, 4, 0, 1, 1, 4, 3, 4, 1, 4, 3, 4, 2, 3, 2, 4, 4, 2, 1, 3, 4, 3, 0, 3, 4, 2, 1, 2, 1, 2, 3, 1, 4, 0, 4, 3, 2, 1, 2, 3, 3, 3, 4, 0, 2, 4, 3, 2, 0, 2, 2, 2, 3, 4, 2, 3, 0, 2, 0, 2, 3, 2, 2, 3, 0, 3, 3, 1, 4, 1, 3, 0, 3, 1, 0, 1, 4, 1, 0, 0, 0, 3, 4, 0, 0, 4, 1, 1, 4, 3, 2, 0, 0, 2, 2, 3, 2, 0, 3, 4, 2, 0, 1, 4, 2, 0, 1, 2, 2, 1, 4, 1, 3, 3, 3, 4, 0, 0, 1, 4, 4, 2, 2, 0, 3, 4, 4, 3, 3, 2, 3, 4, 2, 2, 4, 0, 3, 3, 0, 4, 0, 4, 3, 1, 1, 3, 4, 3, 4, 4, 4, 3, 2, 1, 1, 1, 3, 2, 0, 3, 3, 2, 1, 2, 3, 0, 3, 2, 0, 4, 3, 3, 2, 2, 0, 0, 4, 2, 3, 4, 2, 1, 0, 3, 2, 3, 1, 1, 2, 0, 0, 4, 2, 2, 4, 2, 3, 3, 3, 3, 4, 0, 3, 1, 0, 2, 4, 2, 1, 3, 1, 1, 4, 1, 0, 2, 1, 3, 3, 4, 2, 2, 1, 0, 3, 1, 2, 0, 1, 2, 1, 4, 0, 2, 0, 0, 0, 3, 1, 1, 4, 0, 2, 3, 1, 1, 2, 4, 0, 0, 4, 2, 4, 3, 3, 3, 1, 2, 2, 3, 4, 1, 2, 0, 1, 1, 2, 3, 0, 4, 2, 3, 4, 3, 3, 1, 2, 3, 0, 2, 3, 4, 3, 1, 0, 4, 2, 1, 1, 2, 3, 0, 4, 0, 4, 4, 1, 0, 4, 1, 0, 4, 1, 1, 3, 3, 2, 1, 3, 0, 1, 1, 4, 4, 1, 4, 2, 2, 2, 3, 0, 1, 1, 2, 2, 3, 0, 1, 3, 4, 3, 4, 3, 1, 1, 4, 4, 3, 2, 2, 1, 4, 1, 2, 0, 0, 0, 0, 0, 4, 2, 1, 0, 2, 1, 3, 2, 4, 0, 0, 1, 0, 0, 4, 1, 2, 0, 4, 4, 2, 4, 0, 0, 1, 1, 1, 3, 4, 4, 2, 0, 2, 4, 1, 3, 0, 1, 4, 3, 3, 3, 2] pubkeycol1099 = [4, 2, 3, 0, 1, 1, 0, 2, 1, 4, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 4, 4, 2, 4, 2, 1, 0, 0, 0, 1, 2, 1, 4, 0, 0, 4, 0, 1, 1, 0, 2, 4, 3, 1, 2, 1, 1, 3, 1, 3, 0, 4, 3, 3, 1, 3, 3, 2, 4, 1, 4, 3, 1, 4, 3, 1, 4, 2, 0, 4, 0, 1, 3, 0, 4, 4, 1, 3, 3, 3, 1, 2, 1, 2, 3, 0, 0, 3, 0, 0, 1, 4, 1, 3, 4, 4, 0, 1, 0, 1, 0, 3, 4, 0, 1, 0, 1, 2, 3, 4, 1, 0, 3, 0, 1, 1, 2, 4, 4, 2, 2, 0, 1, 3, 4, 4, 2, 1, 4, 0, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 4, 0, 0, 2, 3, 3, 4, 1, 0, 3, 0, 4, 0, 2, 0, 3, 4, 3, 0, 4, 2, 1, 2, 2, 3, 4, 4, 2, 0, 1, 1, 3, 2, 2, 0, 2, 1, 1, 3, 3, 2, 3, 4, 4, 4, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 4, 0, 3, 2, 1, 1, 4, 1, 3, 4, 1, 4, 0, 1, 3, 3, 0, 1, 3, 4, 1, 3, 1, 3, 3, 3, 4, 4, 1, 2, 1, 3, 3, 3, 2, 4, 1, 4, 4, 4, 1, 3, 4, 4, 1, 0, 1, 1, 4, 0, 0, 2, 2, 3, 1, 3, 2, 1, 4, 1, 2, 4, 2, 3, 0, 3, 1, 4, 3, 1, 4, 2, 3, 2, 1, 1, 2, 1, 1, 1, 3, 4, 2, 1, 3, 2, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 2, 0, 2, 4, 1, 2, 1, 4, 1, 1, 3, 4, 1, 4, 4, 0, 1, 3, 0, 3, 3, 3, 0, 0, 2, 0, 2, 0, 3, 0, 2, 1, 1, 0, 3, 3, 4, 0, 1, 1, 4, 3, 1, 3, 1, 3, 4, 2, 0, 4, 2, 2, 3, 0, 4, 3, 2, 1, 1, 0, 0, 2, 2, 1, 4, 3, 2, 1, 3, 3, 3, 0, 0, 1, 3, 4, 4, 4, 0, 0, 3, 1, 4, 3, 2, 4, 2, 3, 3, 4, 2, 3, 4, 2, 3, 4, 3, 4, 1, 0, 4, 0, 4] pubkeycol1100 = [2, 0, 4, 4, 2, 0, 0, 0, 1, 3, 4, 2, 2, 3, 4, 2, 2, 2, 4, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 4, 1, 4, 3, 0, 4, 2, 0, 3, 0, 4, 2, 3, 1, 4, 4, 4, 1, 0, 4, 3, 2, 3, 3, 1, 1, 2, 1, 0, 4, 3, 4, 2, 0, 4, 2, 3, 0, 0, 4, 4, 2, 4, 0, 3, 2, 4, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 4, 2, 1, 3, 0, 4, 4, 0, 1, 4, 3, 3, 4, 3, 0, 4, 2, 0, 1, 0, 1, 1, 0, 4, 0, 3, 1, 4, 2, 4, 1, 2, 4, 3, 2, 2, 0, 3, 4, 3, 2, 3, 4, 2, 2, 4, 1, 1, 4, 3, 1, 0, 3, 2, 0, 3, 1, 0, 0, 1, 1, 1, 1, 4, 0, 3, 2, 1, 1, 0, 2, 1, 3, 1, 4, 1, 0, 1, 1, 3, 2, 4, 1, 0, 2, 0, 3, 0, 4, 0, 2, 2, 2, 0, 1, 4, 1, 4, 3, 3, 3, 1, 0, 2, 4, 1, 0, 1, 3, 2, 1, 3, 3, 1, 3, 1, 2, 2, 1, 3, 2, 3, 0, 3, 2, 1, 0, 3, 0, 3, 1, 4, 3, 2, 0, 3, 1, 0, 4, 4, 3, 3, 4, 1, 3, 4, 1, 0, 4, 4, 3, 4, 4, 3, 1, 0, 0, 4, 0, 1, 0, 1, 0, 2, 1, 4, 4, 1, 3, 0, 0, 0, 2, 3, 0, 1, 2, 1, 2, 2, 3, 2, 2, 0, 4, 3, 2, 1, 3, 3, 3, 1, 4, 3, 3, 4, 4, 2, 2, 3, 3, 0, 3, 1, 2, 2, 0, 1, 1, 0, 4, 2, 3, 1, 0, 3, 0, 2, 0, 4, 3, 3, 0, 0, 3, 2, 4, 3, 2, 3, 3, 0, 2, 4, 2, 1, 1, 3, 4, 4, 2, 0, 1, 4, 2, 2, 3, 1, 2, 1, 2, 0, 1, 2, 1, 4, 1, 2, 3, 3, 2, 0, 2, 0, 1, 0, 0, 3, 3, 1, 0, 0, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 0, 0, 4, 0, 1, 0, 4, 2, 1, 3, 1, 2, 2, 4, 2, 3, 1, 2, 0, 4, 1, 3, 1, 1, 0, 3, 3, 3, 3, 0] pubkeycol1101 = [2, 4, 3, 4, 0, 1, 3, 1, 1, 2, 0, 3, 0, 1, 2, 4, 2, 4, 1, 1, 1, 4, 1, 4, 2, 4, 1, 2, 3, 4, 4, 2, 2, 4, 4, 3, 1, 1, 2, 4, 3, 4, 3, 1, 3, 3, 2, 2, 2, 0, 2, 2, 4, 3, 3, 2, 4, 3, 0, 3, 0, 0, 2, 0, 0, 4, 0, 0, 3, 2, 4, 3, 1, 3, 0, 4, 4, 1, 1, 2, 3, 3, 2, 2, 0, 4, 3, 3, 2, 4, 4, 2, 3, 3, 0, 4, 4, 2, 4, 2, 1, 3, 3, 0, 1, 0, 4, 3, 3, 0, 2, 3, 1, 1, 1, 3, 3, 3, 0, 0, 2, 4, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 3, 0, 0, 4, 2, 0, 2, 0, 4, 1, 0, 4, 2, 2, 3, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 4, 4, 3, 3, 3, 3, 4, 2, 3, 2, 3, 2, 3, 0, 2, 0, 3, 1, 2, 3, 1, 2, 3, 4, 2, 2, 4, 4, 0, 3, 2, 0, 2, 4, 1, 1, 1, 3, 4, 0, 1, 0, 1, 3, 3, 1, 4, 0, 4, 3, 3, 0, 4, 2, 0, 4, 3, 0, 4, 2, 2, 1, 4, 1, 4, 0, 0, 2, 3, 0, 3, 0, 3, 0, 2, 0, 2, 1, 0, 3, 1, 2, 3, 1, 0, 0, 4, 3, 1, 2, 3, 1, 4, 1, 3, 3, 2, 4, 2, 3, 1, 1, 3, 2, 3, 1, 0, 2, 3, 2, 2, 2, 3, 1, 4, 1, 2, 2, 1, 1, 4, 4, 1, 2, 2, 4, 0, 3, 4, 2, 2, 3, 1, 2, 4, 4, 3, 3, 2, 1, 2, 3, 0, 2, 3, 0, 2, 1, 1, 4, 3, 0, 0, 2, 1, 1, 4, 1, 4, 2, 4, 3, 0, 0, 2, 1, 3, 0, 3, 2, 1, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 4, 0, 1, 2, 1, 1, 0, 3, 1, 4, 1, 2, 0, 4, 1, 2, 4, 2, 1, 2, 3, 1, 3, 2, 3, 3, 4, 1, 3, 1, 2, 4, 4, 4] pubkeycol1102 = [2, 2, 3, 3, 0, 1, 3, 3, 3, 0, 1, 4, 0, 2, 4, 3, 3, 0, 0, 2, 0, 0, 4, 0, 3, 3, 1, 1, 3, 1, 4, 0, 1, 3, 2, 0, 0, 1, 4, 2, 3, 1, 0, 4, 4, 0, 0, 1, 3, 2, 4, 2, 4, 0, 1, 3, 2, 1, 1, 4, 1, 3, 4, 1, 2, 2, 1, 3, 2, 0, 1, 3, 3, 2, 3, 4, 2, 3, 0, 1, 0, 4, 0, 0, 1, 0, 1, 0, 3, 1, 0, 2, 0, 2, 1, 4, 3, 2, 4, 1, 2, 3, 4, 4, 4, 4, 0, 3, 4, 3, 1, 2, 4, 1, 0, 0, 3, 2, 0, 4, 1, 2, 4, 4, 4, 4, 0, 1, 3, 4, 4, 0, 0, 4, 2, 2, 4, 1, 4, 3, 3, 2, 1, 4, 4, 4, 1, 1, 4, 3, 4, 0, 4, 2, 3, 4, 3, 4, 0, 3, 0, 0, 2, 0, 2, 2, 4, 1, 4, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 3, 1, 1, 2, 0, 2, 4, 1, 0, 1, 1, 0, 2, 2, 0, 4, 3, 3, 2, 2, 3, 2, 3, 2, 1, 3, 2, 3, 2, 2, 1, 4, 2, 2, 3, 2, 0, 3, 0, 1, 2, 1, 1, 2, 4, 2, 4, 4, 3, 1, 3, 1, 0, 3, 1, 3, 2, 1, 0, 1, 2, 1, 4, 3, 3, 2, 0, 3, 3, 4, 1, 4, 2, 1, 4, 3, 4, 4, 2, 3, 3, 1, 1, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 0, 3, 4, 1, 2, 4, 4, 3, 3, 1, 4, 0, 0, 1, 2, 3, 3, 1, 3, 4, 4, 0, 2, 1, 4, 1, 3, 0, 4, 2, 1, 1, 0, 0, 2, 4, 1, 1, 2, 4, 1, 3, 3, 0, 3, 3, 1, 1, 2, 0, 2, 1, 0, 4, 0, 4, 0, 0, 2, 1, 3, 3, 0, 1, 1, 1, 2, 4, 2, 1, 1, 3, 1, 0, 2, 4, 4, 4, 2, 0, 2, 4, 4, 1, 1, 0, 4, 1, 0, 3, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 3, 4, 4, 3, 2, 1, 0, 1, 0, 3, 4, 0, 0, 0, 0, 4, 4, 4, 2, 1, 3, 3, 2, 4, 4, 0, 3] pubkeycol1103 = [1, 3, 1, 2, 1, 2, 2, 1, 0, 1, 3, 1, 3, 0, 4, 2, 0, 1, 0, 4, 1, 4, 3, 1, 0, 3, 0, 1, 4, 1, 0, 0, 2, 1, 2, 3, 2, 0, 2, 1, 4, 4, 3, 4, 1, 4, 1, 4, 1, 2, 3, 0, 1, 2, 0, 4, 0, 0, 0, 1, 0, 2, 4, 4, 2, 2, 3, 0, 1, 1, 0, 4, 4, 2, 4, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 3, 0, 2, 4, 2, 4, 1, 4, 4, 3, 0, 0, 4, 4, 4, 0, 2, 2, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 4, 2, 0, 4, 4, 1, 4, 3, 4, 2, 0, 1, 3, 0, 4, 2, 2, 3, 0, 2, 1, 4, 0, 0, 2, 0, 2, 1, 0, 3, 1, 2, 0, 0, 0, 3, 0, 3, 1, 4, 1, 3, 3, 0, 1, 3, 1, 4, 0, 0, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 4, 2, 4, 3, 3, 3, 1, 1, 1, 2, 4, 1, 0, 0, 2, 2, 1, 4, 3, 0, 0, 3, 4, 3, 4, 2, 1, 2, 1, 2, 0, 4, 1, 0, 2, 1, 4, 2, 4, 1, 0, 1, 3, 3, 0, 3, 1, 1, 4, 4, 2, 4, 1, 2, 2, 1, 2, 0, 0, 3, 2, 1, 2, 4, 2, 4, 1, 0, 4, 1, 1, 0, 1, 3, 4, 1, 4, 2, 4, 0, 1, 1, 2, 3, 3, 2, 3, 0, 0, 0, 3, 2, 4, 4, 0, 0, 3, 0, 1, 2, 4, 0, 0, 4, 3, 4, 4, 1, 1, 1, 4, 0, 2, 3, 3, 1, 4, 2, 1, 3, 4, 4, 0, 2, 1, 0, 0, 3, 0, 2, 4, 2, 3, 1, 4, 3, 1, 0, 2, 1, 1, 2, 3, 2, 3, 2, 3, 4, 1, 2, 2, 0, 0, 0, 2, 4, 0, 1, 0, 4, 3, 3, 4, 3, 0, 2, 1, 3, 3, 4, 4, 1, 3, 2, 3, 4, 4, 1, 4, 0, 4, 2, 1, 4, 4, 0, 0, 3, 1, 4, 4, 3, 3, 2, 2, 4, 2, 4, 4, 0, 4, 2, 0, 4, 1, 0, 1, 2, 4, 4, 0, 2, 0, 3, 4, 4, 2, 2, 4, 2, 2, 0, 2, 4, 3, 2, 2] pubkeycol1104 = [3, 4, 1, 3, 0, 0, 1, 2, 3, 4, 2, 1, 3, 3, 3, 3, 3, 3, 3, 0, 4, 2, 2, 2, 3, 0, 1, 0, 3, 2, 2, 1, 0, 2, 3, 0, 4, 3, 1, 4, 0, 2, 3, 0, 2, 0, 3, 1, 0, 2, 2, 1, 0, 1, 3, 4, 1, 2, 0, 4, 1, 1, 4, 4, 1, 3, 4, 4, 2, 0, 4, 3, 0, 0, 1, 1, 1, 1, 2, 0, 1, 3, 4, 1, 0, 3, 0, 1, 2, 1, 0, 3, 0, 0, 1, 4, 3, 1, 3, 2, 4, 0, 0, 3, 2, 1, 4, 2, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 1, 3, 3, 4, 1, 0, 3, 3, 3, 0, 3, 3, 4, 3, 1, 4, 0, 1, 3, 4, 0, 3, 2, 3, 3, 2, 4, 1, 3, 2, 4, 4, 0, 0, 0, 3, 1, 4, 3, 2, 4, 3, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 3, 1, 3, 0, 0, 0, 3, 1, 2, 2, 0, 1, 3, 1, 0, 4, 3, 2, 2, 1, 0, 3, 4, 1, 2, 2, 4, 4, 2, 4, 0, 0, 1, 4, 0, 3, 0, 1, 2, 4, 1, 0, 2, 3, 2, 4, 3, 0, 1, 0, 2, 3, 2, 3, 4, 3, 3, 3, 0, 0, 4, 3, 0, 3, 2, 4, 3, 2, 1, 0, 4, 4, 1, 3, 0, 2, 1, 4, 0, 2, 2, 3, 4, 3, 0, 1, 2, 3, 1, 0, 3, 2, 0, 3, 4, 0, 1, 4, 1, 1, 4, 3, 1, 3, 3, 0, 2, 3, 3, 1, 4, 2, 1, 1, 2, 2, 1, 4, 2, 0, 3, 4, 3, 2, 3, 1, 3, 2, 4, 4, 3, 0, 3, 0, 0, 2, 4, 3, 2, 1, 4, 4, 0, 1, 0, 3, 1, 3, 3, 0, 2, 0, 3, 3, 1, 1, 1, 2, 1, 4, 4, 3, 3, 2, 4, 4, 3, 4, 4, 1, 4, 2, 3, 0, 1, 0, 1, 2, 1, 1, 2, 3, 4, 1, 3, 0, 0, 4, 1, 4, 2, 0, 3, 2, 3, 2, 0, 4, 3, 1, 0, 4, 4, 3, 1, 3, 1, 3, 0, 1, 2, 0, 1, 2, 1, 0, 3, 3, 4, 1, 2, 4, 4, 3, 2, 1, 4, 3, 4, 2] pubkeycol1105 = [1, 0, 0, 4, 0, 1, 3, 0, 0, 4, 1, 0, 2, 1, 4, 0, 0, 0, 0, 1, 3, 1, 4, 4, 1, 2, 4, 2, 2, 0, 3, 3, 2, 3, 0, 1, 3, 1, 3, 4, 1, 1, 1, 2, 0, 1, 0, 4, 1, 0, 4, 0, 3, 0, 0, 4, 4, 3, 4, 0, 4, 1, 1, 1, 0, 2, 0, 0, 1, 4, 2, 3, 0, 1, 4, 3, 1, 4, 3, 4, 3, 4, 4, 2, 2, 1, 1, 0, 3, 3, 0, 1, 2, 3, 4, 1, 3, 3, 3, 3, 4, 2, 0, 2, 1, 4, 4, 0, 1, 2, 2, 0, 2, 0, 1, 3, 1, 1, 4, 0, 1, 4, 2, 4, 2, 1, 4, 2, 4, 1, 0, 4, 2, 4, 2, 3, 2, 1, 2, 1, 2, 2, 2, 1, 4, 3, 4, 3, 1, 1, 3, 3, 0, 4, 0, 4, 4, 4, 0, 0, 4, 2, 0, 4, 2, 1, 0, 1, 3, 2, 3, 3, 1, 4, 0, 1, 0, 4, 0, 1, 3, 0, 1, 1, 1, 4, 2, 0, 4, 0, 2, 4, 4, 3, 4, 1, 1, 3, 2, 0, 2, 3, 3, 3, 2, 4, 3, 1, 1, 0, 1, 1, 2, 3, 4, 3, 1, 0, 1, 2, 0, 1, 4, 2, 4, 3, 4, 3, 1, 1, 0, 0, 0, 1, 2, 0, 4, 0, 2, 3, 3, 4, 2, 3, 1, 2, 3, 0, 2, 0, 3, 4, 3, 3, 0, 1, 2, 4, 4, 4, 4, 1, 3, 4, 1, 3, 0, 0, 4, 4, 1, 0, 2, 1, 3, 4, 2, 3, 2, 0, 2, 0, 1, 4, 1, 3, 2, 3, 0, 1, 2, 1, 4, 4, 0, 1, 1, 4, 4, 2, 0, 2, 2, 2, 3, 0, 4, 3, 0, 0, 1, 0, 3, 4, 4, 1, 2, 4, 4, 0, 3, 3, 0, 4, 4, 2, 0, 3, 3, 0, 1, 4, 4, 2, 0, 4, 1, 1, 2, 1, 1, 3, 0, 4, 4, 2, 3, 3, 0, 4, 2, 0, 3, 0, 4, 0, 1, 1, 3, 0, 1, 4, 3, 4, 2, 0, 3, 3, 0, 4, 3, 3, 4, 3, 2, 3, 1, 2, 4, 4, 1, 1, 1, 4, 0, 1, 1, 2, 2, 2, 3, 3, 1, 3, 0, 2, 0, 2, 4, 1] pubkeycol1106 = [3, 0, 2, 4, 0, 2, 2, 4, 4, 2, 2, 2, 0, 3, 0, 1, 2, 2, 0, 2, 4, 2, 2, 0, 0, 4, 3, 1, 4, 1, 1, 0, 0, 2, 2, 2, 0, 4, 2, 2, 4, 1, 3, 3, 3, 4, 1, 2, 3, 1, 2, 0, 0, 1, 2, 1, 4, 3, 1, 1, 2, 4, 2, 4, 0, 3, 1, 1, 2, 0, 2, 4, 3, 2, 0, 3, 3, 0, 2, 0, 2, 4, 3, 4, 1, 3, 2, 2, 4, 4, 0, 2, 3, 4, 4, 0, 3, 0, 2, 4, 3, 1, 1, 1, 0, 2, 3, 3, 3, 0, 3, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 4, 1, 4, 3, 3, 0, 2, 1, 2, 4, 2, 2, 4, 3, 1, 2, 1, 1, 4, 1, 1, 0, 0, 3, 3, 4, 3, 4, 2, 1, 3, 3, 4, 4, 0, 1, 4, 2, 4, 0, 2, 3, 4, 4, 3, 1, 4, 2, 0, 1, 3, 2, 4, 3, 3, 2, 4, 4, 3, 1, 1, 0, 4, 3, 4, 2, 3, 4, 1, 2, 4, 2, 2, 4, 1, 1, 3, 2, 4, 1, 3, 3, 0, 1, 2, 0, 0, 2, 2, 3, 4, 1, 4, 2, 2, 1, 1, 1, 3, 2, 3, 3, 1, 4, 1, 2, 4, 2, 0, 4, 0, 0, 2, 3, 2, 0, 3, 2, 4, 0, 1, 3, 2, 4, 2, 1, 2, 4, 4, 1, 2, 1, 1, 3, 1, 0, 2, 1, 1, 3, 2, 0, 4, 3, 2, 1, 0, 0, 4, 1, 4, 2, 4, 4, 3, 1, 3, 3, 4, 3, 3, 2, 3, 4, 1, 4, 3, 2, 4, 1, 2, 0, 2, 0, 2, 2, 2, 4, 3, 1, 0, 3, 3, 0, 1, 3, 0, 0, 2, 0, 2, 3, 3, 0, 1, 0, 3, 0, 3, 0, 4, 2, 4, 4, 0, 4, 0, 1, 4, 4, 3, 0, 4, 4, 3, 0, 0, 3, 2, 3, 1, 0, 3, 0, 4, 3, 0, 1, 3, 2, 0, 3, 0, 0, 4, 2, 0, 1, 1, 2, 3, 3, 0, 0, 4, 1, 3, 4, 0, 3, 3, 4, 3, 4, 0, 4, 1, 1, 2, 0, 1, 0, 3, 4, 4, 3, 2, 4, 4, 1, 3, 2, 3, 0, 2, 3, 4, 2, 0] pubkeycol1107 = [1, 4, 0, 3, 0, 3, 2, 1, 0, 2, 4, 0, 2, 1, 3, 1, 1, 1, 4, 4, 4, 0, 3, 4, 4, 1, 2, 0, 2, 2, 0, 0, 1, 3, 0, 0, 2, 4, 4, 4, 0, 4, 0, 0, 3, 4, 2, 2, 1, 1, 2, 2, 4, 4, 2, 1, 0, 2, 0, 0, 4, 2, 4, 2, 3, 2, 1, 2, 2, 2, 3, 3, 1, 2, 0, 3, 1, 4, 0, 0, 4, 1, 2, 0, 0, 3, 3, 4, 2, 1, 4, 2, 1, 3, 2, 2, 4, 1, 3, 4, 1, 3, 3, 2, 2, 3, 1, 1, 4, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 4, 4, 3, 3, 2, 1, 0, 3, 1, 4, 4, 3, 0, 1, 0, 3, 1, 2, 2, 4, 1, 1, 3, 1, 3, 4, 3, 2, 0, 2, 3, 2, 1, 1, 4, 3, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 4, 2, 1, 0, 3, 3, 1, 4, 1, 4, 4, 1, 3, 2, 2, 3, 4, 4, 1, 4, 3, 4, 2, 1, 2, 2, 3, 4, 1, 0, 2, 0, 1, 2, 4, 2, 3, 2, 2, 2, 0, 3, 1, 2, 1, 2, 4, 3, 2, 2, 3, 0, 1, 4, 3, 2, 0, 0, 0, 1, 3, 0, 2, 4, 4, 4, 4, 1, 0, 4, 2, 4, 4, 1, 4, 4, 3, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 4, 4, 1, 4, 3, 4, 0, 0, 0, 1, 3, 0, 2, 0, 0, 3, 0, 1, 2, 2, 4, 1, 2, 2, 3, 2, 4, 4, 0, 3, 3, 2, 2, 1, 4, 3, 0, 2, 0, 2, 3, 3, 3, 3, 3, 3, 4, 2, 4, 3, 1, 4, 4, 2, 1, 1, 0, 3, 4, 4, 1, 4, 0, 0, 2, 1, 4, 0, 4, 3, 0, 1, 3, 4, 4, 0, 2, 1, 2, 1, 2, 3, 0, 0, 4, 3, 4, 3, 4, 1, 3, 4, 2, 1, 3, 0, 2, 4, 1, 2, 1, 3, 4, 4, 2, 4, 3, 3, 3, 0, 0, 2, 2, 3, 3, 2, 0, 1, 1, 4, 2, 3, 3, 4, 4, 3, 1, 0, 4, 2, 3, 4, 0, 2, 4, 3, 1, 4, 1, 2, 0, 0, 1] pubkeycol1108 = [4, 4, 0, 1, 4, 4, 1, 0, 3, 4, 0, 2, 1, 4, 3, 3, 3, 0, 1, 4, 0, 3, 4, 3, 3, 3, 1, 2, 1, 4, 1, 0, 4, 2, 3, 1, 2, 4, 2, 4, 1, 4, 3, 2, 1, 4, 1, 2, 3, 3, 1, 0, 3, 4, 1, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 0, 3, 1, 0, 2, 4, 2, 4, 3, 3, 1, 3, 2, 1, 3, 0, 1, 0, 2, 0, 3, 3, 0, 3, 1, 0, 1, 3, 2, 3, 0, 4, 4, 4, 4, 2, 2, 3, 1, 2, 3, 1, 1, 3, 2, 2, 1, 2, 0, 3, 4, 1, 0, 3, 1, 0, 1, 4, 0, 1, 2, 2, 3, 3, 3, 2, 2, 2, 3, 2, 4, 4, 2, 0, 1, 2, 4, 1, 4, 1, 1, 2, 3, 2, 3, 3, 2, 1, 1, 4, 0, 4, 0, 4, 1, 3, 2, 0, 0, 1, 3, 1, 0, 1, 4, 3, 2, 3, 4, 0, 1, 0, 0, 1, 1, 1, 0, 2, 4, 4, 4, 3, 4, 3, 4, 3, 1, 1, 0, 0, 2, 0, 3, 4, 0, 2, 2, 1, 4, 1, 0, 2, 3, 2, 2, 0, 1, 4, 1, 4, 2, 1, 4, 4, 1, 3, 2, 3, 1, 2, 3, 4, 4, 3, 0, 1, 4, 1, 3, 3, 0, 4, 3, 1, 3, 4, 2, 2, 0, 2, 3, 4, 1, 2, 4, 0, 1, 2, 1, 1, 1, 0, 1, 3, 1, 4, 4, 2, 1, 0, 3, 2, 4, 2, 3, 3, 2, 1, 0, 4, 2, 2, 4, 4, 2, 1, 1, 4, 2, 4, 1, 3, 4, 4, 1, 4, 3, 1, 4, 4, 3, 2, 1, 1, 4, 1, 1, 1, 3, 3, 2, 2, 0, 0, 3, 4, 4, 4, 1, 0, 4, 3, 0, 4, 3, 4, 4, 2, 2, 0, 1, 1, 4, 0, 3, 3, 0, 3, 3, 4, 4, 2, 4, 2, 2, 1, 1, 1, 3, 3, 3, 1, 1, 3, 4, 1, 3, 1, 2, 3, 2, 4, 0, 1, 0, 3, 2, 4, 0, 4, 4, 2, 1, 0, 3, 4, 4, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 2, 4, 3, 3, 3, 4, 3, 3, 0, 0, 1, 3, 2, 1, 2, 2, 4, 3] pubkeycol1109 = [1, 1, 2, 4, 1, 0, 0, 3, 3, 1, 2, 2, 4, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 4, 1, 0, 0, 3, 4, 0, 0, 2, 4, 4, 2, 4, 2, 0, 0, 0, 2, 0, 1, 1, 4, 3, 4, 4, 2, 3, 1, 2, 0, 4, 0, 1, 3, 1, 4, 3, 0, 2, 3, 2, 4, 2, 4, 0, 3, 1, 2, 3, 3, 1, 0, 2, 3, 0, 0, 4, 2, 0, 4, 2, 1, 3, 0, 3, 0, 3, 4, 3, 3, 1, 0, 1, 2, 3, 0, 3, 3, 1, 4, 0, 3, 0, 4, 4, 4, 4, 1, 4, 0, 2, 2, 1, 0, 0, 0, 1, 0, 3, 3, 4, 4, 0, 0, 4, 1, 0, 3, 2, 0, 4, 2, 3, 3, 3, 2, 3, 1, 0, 3, 1, 0, 4, 1, 2, 1, 2, 3, 4, 0, 4, 0, 4, 1, 2, 2, 4, 3, 0, 3, 3, 1, 4, 4, 1, 2, 4, 2, 0, 1, 4, 0, 1, 3, 0, 2, 1, 3, 1, 1, 2, 3, 0, 0, 4, 3, 2, 3, 3, 2, 2, 2, 2, 0, 4, 2, 3, 4, 3, 3, 0, 0, 0, 2, 1, 3, 4, 3, 0, 4, 4, 2, 3, 1, 0, 1, 0, 4, 1, 0, 1, 1, 3, 2, 0, 3, 2, 3, 0, 1, 0, 1, 4, 2, 4, 0, 2, 1, 1, 2, 2, 4, 0, 2, 0, 3, 1, 0, 4, 4, 1, 4, 4, 4, 2, 4, 2, 2, 2, 1, 0, 4, 1, 4, 0, 1, 1, 0, 2, 1, 4, 0, 1, 1, 0, 4, 2, 2, 0, 4, 1, 2, 1, 4, 1, 2, 4, 2, 3, 2, 0, 1, 3, 3, 3, 4, 2, 4, 2, 3, 4, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 3, 3, 2, 3, 0, 3, 3, 2, 3, 2, 4, 2, 0, 1, 4, 4, 4, 0, 0, 2, 2, 0, 3, 2, 3, 4, 3, 1, 1, 2, 2, 2, 4, 2, 2, 1, 3, 0, 0, 2, 1, 4, 4, 1, 4, 4, 2, 0, 2, 4, 0, 1, 2, 3, 1, 4, 2, 0, 4, 2, 0, 3, 4, 1, 4, 1, 1, 1, 1, 3, 3, 3, 2, 1, 2, 2, 2, 1, 0, 4, 2, 3, 1, 4] pubkeycol1110 = [0, 3, 4, 0, 3, 2, 2, 3, 4, 4, 4, 3, 0, 4, 3, 0, 4, 2, 2, 4, 4, 2, 4, 0, 4, 4, 4, 3, 1, 0, 2, 3, 1, 2, 2, 4, 3, 3, 1, 0, 2, 2, 2, 0, 3, 1, 4, 0, 1, 1, 0, 0, 3, 4, 3, 2, 4, 0, 1, 3, 3, 0, 0, 1, 2, 3, 1, 4, 4, 4, 0, 0, 0, 3, 4, 3, 0, 2, 4, 1, 0, 1, 4, 0, 1, 0, 1, 1, 0, 2, 2, 1, 4, 1, 3, 2, 4, 0, 1, 4, 4, 0, 4, 1, 4, 2, 1, 2, 2, 4, 2, 1, 1, 2, 3, 4, 3, 0, 2, 3, 4, 4, 0, 1, 4, 3, 1, 4, 3, 0, 1, 2, 1, 3, 4, 4, 4, 1, 3, 0, 1, 1, 1, 2, 1, 3, 3, 3, 1, 0, 4, 0, 4, 0, 0, 1, 2, 2, 2, 2, 3, 4, 4, 1, 1, 2, 1, 0, 4, 0, 1, 2, 4, 4, 3, 1, 4, 0, 3, 1, 2, 3, 2, 3, 1, 1, 0, 2, 2, 2, 4, 0, 4, 2, 4, 0, 4, 1, 2, 0, 3, 1, 2, 3, 2, 3, 2, 3, 2, 4, 3, 2, 1, 4, 3, 1, 0, 4, 0, 1, 2, 1, 4, 3, 3, 1, 1, 3, 4, 1, 3, 2, 4, 2, 4, 3, 0, 3, 1, 1, 3, 4, 4, 1, 3, 2, 2, 0, 0, 2, 1, 3, 0, 0, 4, 4, 3, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 3, 3, 4, 4, 4, 1, 3, 1, 2, 2, 3, 2, 4, 2, 3, 4, 3, 0, 3, 3, 3, 4, 1, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 4, 4, 0, 1, 1, 2, 4, 3, 2, 0, 3, 1, 0, 1, 4, 4, 2, 3, 0, 0, 0, 3, 2, 3, 2, 1, 2, 2, 4, 4, 4, 1, 0, 2, 0, 4, 1, 0, 0, 3, 4, 4, 1, 1, 2, 2, 0, 0, 2, 4, 2, 2, 0, 3, 3, 1, 3, 2, 3, 3, 2, 1, 3, 4, 3, 1, 4, 2, 2, 0, 4, 0, 4, 2, 4, 1, 4, 2, 1, 3, 0, 4, 3, 0, 4, 1, 0, 4, 2, 0] pubkeycol1111 = [4, 1, 3, 3, 4, 4, 2, 3, 2, 1, 0, 0, 4, 4, 1, 0, 2, 4, 2, 0, 1, 4, 4, 3, 2, 4, 3, 3, 0, 1, 2, 3, 0, 4, 2, 1, 4, 0, 3, 0, 3, 0, 0, 2, 4, 3, 4, 4, 1, 1, 4, 1, 2, 0, 3, 1, 1, 2, 4, 0, 0, 3, 4, 4, 3, 1, 0, 2, 0, 1, 1, 4, 4, 0, 1, 3, 0, 4, 1, 4, 3, 1, 3, 4, 0, 4, 0, 3, 2, 0, 1, 0, 1, 1, 0, 2, 3, 2, 1, 2, 4, 3, 2, 3, 0, 2, 0, 4, 1, 3, 4, 3, 4, 4, 4, 3, 3, 2, 0, 3, 4, 0, 2, 4, 2, 3, 2, 4, 3, 0, 0, 3, 2, 2, 1, 4, 1, 3, 4, 3, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 4, 0, 0, 0, 1, 4, 3, 0, 0, 2, 4, 4, 0, 3, 3, 3, 4, 0, 3, 3, 2, 0, 3, 3, 1, 2, 3, 1, 3, 2, 0, 2, 4, 3, 0, 3, 3, 3, 3, 1, 0, 4, 0, 2, 1, 2, 4, 3, 1, 2, 4, 1, 0, 1, 2, 3, 0, 1, 1, 1, 0, 2, 2, 4, 3, 0, 4, 1, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 1, 4, 0, 1, 4, 3, 1, 4, 0, 0, 0, 1, 3, 4, 2, 2, 4, 3, 2, 1, 3, 3, 3, 3, 2, 0, 2, 2, 2, 3, 3, 3, 3, 3, 0, 4, 0, 0, 1, 0, 4, 1, 2, 3, 2, 4, 0, 1, 3, 0, 4, 3, 4, 2, 1, 4, 0, 3, 0, 0, 3, 3, 4, 2, 3, 3, 1, 3, 4, 1, 3, 1, 2, 3, 4, 0, 2, 4, 4, 1, 2, 2, 1, 4, 2, 3, 2, 3, 2, 3, 2, 1, 4, 2, 3, 4, 4, 0, 4, 1, 0, 1, 0, 0, 1, 0, 4, 4, 1, 0, 0, 0, 0, 0, 1, 1, 4, 2, 2, 3, 3, 0, 4, 0, 2, 0, 3, 4, 3, 1, 3, 4, 1, 1, 3, 2, 0, 2, 2, 0, 4, 2, 1, 2, 1, 1, 4, 0, 2, 0, 3, 2, 0, 4, 1, 0, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 4, 0, 3, 3, 3] pubkeycol1112 = [2, 1, 4, 4, 1, 4, 4, 0, 1, 2, 0, 2, 0, 4, 3, 0, 1, 0, 3, 1, 2, 3, 1, 0, 3, 0, 2, 1, 3, 0, 1, 3, 3, 1, 0, 2, 4, 1, 4, 3, 4, 0, 1, 0, 0, 3, 3, 4, 3, 3, 2, 0, 2, 4, 4, 4, 4, 2, 1, 4, 3, 1, 2, 4, 3, 4, 4, 2, 2, 1, 3, 2, 4, 2, 2, 0, 2, 0, 0, 0, 4, 3, 2, 0, 3, 4, 0, 2, 4, 3, 1, 3, 3, 4, 2, 1, 4, 2, 3, 2, 3, 2, 0, 3, 2, 3, 4, 0, 1, 4, 3, 0, 1, 4, 0, 1, 2, 2, 1, 3, 2, 1, 4, 0, 0, 3, 1, 1, 0, 3, 3, 0, 3, 1, 1, 2, 0, 2, 3, 4, 0, 2, 3, 2, 4, 0, 4, 1, 2, 1, 1, 3, 4, 2, 0, 2, 2, 0, 1, 3, 0, 1, 3, 2, 2, 0, 0, 3, 0, 4, 0, 1, 2, 4, 4, 1, 4, 4, 0, 3, 2, 0, 1, 2, 4, 0, 4, 3, 2, 1, 4, 4, 0, 1, 4, 2, 0, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 3, 1, 0, 0, 4, 4, 2, 4, 4, 2, 2, 4, 1, 2, 0, 3, 0, 1, 3, 2, 4, 3, 1, 1, 2, 4, 3, 1, 0, 4, 0, 2, 4, 4, 2, 1, 2, 1, 2, 1, 4, 1, 1, 0, 3, 4, 0, 2, 3, 2, 0, 2, 4, 2, 0, 0, 1, 4, 3, 4, 3, 0, 2, 2, 0, 3, 4, 1, 3, 0, 0, 3, 2, 3, 3, 3, 2, 3, 0, 1, 2, 4, 4, 4, 4, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 3, 0, 0, 4, 2, 2, 2, 2, 0, 3, 3, 0, 2, 1, 0, 4, 3, 3, 3, 4, 1, 1, 1, 2, 2, 4, 3, 3, 0, 1, 4, 1, 0, 0, 0, 4, 2, 2, 0, 2, 0, 4, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 0, 4, 1, 4, 0, 3, 2, 1, 3, 3, 3, 4, 3, 3, 2, 4, 3, 4, 4, 1, 3, 3, 4, 2, 1, 0, 2, 2, 4, 3, 1, 4, 3, 4, 0, 2, 2, 3, 4, 0, 4, 3, 2] pubkeycol1113 = [4, 1, 4, 2, 2, 0, 3, 1, 2, 0, 1, 3, 3, 1, 3, 3, 2, 2, 2, 0, 4, 3, 3, 4, 2, 2, 2, 1, 1, 1, 4, 0, 3, 0, 3, 3, 3, 2, 0, 1, 1, 0, 3, 4, 4, 1, 3, 0, 2, 2, 3, 3, 4, 4, 3, 0, 2, 3, 0, 4, 4, 1, 0, 3, 2, 1, 4, 1, 0, 0, 2, 0, 4, 4, 1, 1, 4, 1, 0, 2, 0, 4, 0, 2, 3, 0, 0, 4, 0, 1, 3, 4, 4, 4, 0, 1, 4, 3, 3, 3, 2, 0, 4, 0, 1, 0, 3, 0, 1, 1, 0, 1, 2, 2, 3, 0, 4, 2, 1, 4, 1, 1, 0, 0, 1, 1, 3, 0, 2, 1, 1, 2, 0, 3, 2, 0, 2, 3, 3, 3, 1, 4, 1, 4, 4, 0, 4, 2, 2, 0, 1, 0, 1, 3, 4, 2, 4, 0, 0, 2, 0, 3, 2, 2, 1, 4, 2, 4, 2, 3, 2, 3, 3, 0, 1, 3, 2, 1, 1, 2, 2, 3, 2, 3, 0, 3, 1, 2, 1, 4, 0, 3, 0, 2, 2, 4, 2, 2, 3, 0, 0, 4, 3, 0, 3, 4, 2, 3, 0, 3, 3, 2, 4, 0, 0, 2, 3, 0, 3, 0, 0, 0, 0, 4, 2, 4, 3, 1, 0, 4, 1, 1, 1, 1, 2, 0, 1, 1, 3, 0, 4, 4, 3, 2, 1, 0, 1, 3, 3, 0, 4, 0, 1, 4, 2, 4, 1, 4, 1, 1, 3, 0, 0, 1, 3, 4, 3, 3, 3, 0, 3, 2, 3, 0, 2, 3, 2, 2, 3, 2, 2, 1, 2, 1, 4, 3, 3, 4, 1, 3, 1, 0, 2, 0, 3, 2, 3, 3, 4, 4, 1, 2, 1, 1, 1, 4, 1, 3, 4, 0, 1, 4, 2, 3, 1, 4, 4, 2, 1, 0, 4, 0, 2, 4, 2, 0, 2, 1, 2, 3, 4, 3, 2, 4, 4, 0, 2, 0, 2, 1, 1, 3, 4, 3, 1, 4, 2, 3, 2, 1, 3, 4, 0, 1, 4, 4, 4, 3, 0, 0, 1, 3, 2, 0, 3, 4, 1, 1, 3, 0, 2, 3, 1, 0, 1, 4, 4, 1, 4, 2, 0, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 4, 4, 4, 1] pubkeycol1114 = [1, 3, 3, 1, 3, 2, 3, 3, 0, 2, 4, 4, 1, 4, 2, 2, 3, 2, 4, 4, 4, 0, 4, 2, 3, 2, 4, 3, 3, 4, 0, 2, 2, 4, 3, 1, 4, 2, 3, 1, 1, 3, 2, 1, 1, 0, 4, 2, 4, 4, 2, 0, 3, 1, 4, 3, 3, 0, 1, 3, 2, 0, 3, 2, 1, 1, 0, 1, 0, 0, 4, 4, 0, 1, 1, 0, 3, 3, 2, 3, 4, 2, 1, 0, 3, 4, 2, 3, 4, 3, 1, 1, 4, 3, 2, 0, 3, 2, 1, 2, 0, 3, 2, 4, 4, 1, 2, 3, 2, 1, 2, 0, 0, 3, 0, 1, 4, 2, 4, 0, 3, 3, 2, 3, 0, 0, 1, 1, 4, 1, 4, 3, 3, 3, 0, 2, 1, 0, 1, 4, 3, 1, 1, 3, 3, 4, 4, 0, 3, 3, 2, 3, 2, 2, 4, 1, 2, 0, 4, 4, 2, 1, 0, 1, 2, 1, 2, 2, 3, 1, 4, 4, 3, 1, 2, 2, 0, 0, 1, 3, 4, 0, 4, 2, 4, 1, 3, 1, 3, 1, 3, 4, 0, 2, 0, 0, 1, 1, 1, 1, 3, 4, 2, 2, 3, 3, 3, 4, 1, 1, 2, 0, 0, 2, 3, 4, 2, 2, 0, 1, 4, 2, 4, 0, 3, 3, 1, 2, 0, 4, 0, 4, 2, 2, 2, 4, 0, 1, 3, 4, 0, 0, 0, 4, 4, 2, 4, 4, 1, 0, 0, 4, 2, 4, 0, 2, 0, 4, 0, 4, 0, 3, 4, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 4, 4, 2, 3, 1, 3, 2, 2, 3, 3, 3, 0, 2, 0, 0, 1, 3, 0, 2, 2, 1, 3, 4, 1, 0, 3, 3, 0, 0, 2, 2, 3, 3, 3, 4, 2, 1, 0, 2, 4, 1, 0, 2, 3, 1, 4, 0, 1, 4, 1, 2, 0, 4, 4, 4, 3, 0, 0, 3, 0, 0, 0, 4, 1, 4, 1, 0, 2, 2, 4, 2, 1, 1, 0, 0, 3, 2, 1, 1, 3, 3, 0, 3, 2, 3, 3, 3, 3, 0, 2, 3, 3, 2, 4, 2, 3, 0, 3, 4, 3, 4, 4, 1, 0, 1, 2, 2, 4, 2, 2, 4, 2, 2, 2, 3, 4, 2, 4, 1, 0, 0, 4, 2, 3, 1, 2, 2] pubkeycol1115 = [0, 2, 0, 4, 3, 3, 3, 2, 1, 1, 3, 1, 4, 4, 4, 0, 0, 0, 3, 4, 3, 0, 1, 2, 2, 4, 1, 4, 2, 1, 3, 2, 4, 2, 4, 1, 4, 3, 0, 1, 2, 3, 2, 0, 0, 0, 4, 1, 3, 4, 2, 2, 4, 3, 1, 2, 2, 2, 4, 2, 2, 0, 2, 2, 2, 2, 3, 4, 3, 0, 3, 4, 4, 3, 2, 3, 2, 2, 2, 0, 2, 2, 3, 3, 4, 4, 1, 0, 2, 3, 3, 2, 4, 4, 2, 0, 0, 2, 0, 4, 2, 3, 3, 0, 2, 3, 1, 0, 2, 4, 4, 0, 4, 0, 4, 3, 4, 4, 2, 2, 1, 0, 3, 3, 4, 1, 2, 0, 2, 2, 0, 1, 2, 2, 4, 4, 2, 1, 4, 1, 1, 3, 2, 4, 2, 1, 2, 1, 3, 4, 2, 0, 2, 1, 2, 1, 4, 3, 4, 3, 3, 1, 3, 3, 4, 2, 3, 0, 1, 4, 0, 2, 1, 3, 3, 3, 2, 2, 4, 3, 2, 2, 4, 0, 0, 1, 3, 3, 4, 3, 2, 0, 0, 2, 1, 2, 3, 3, 2, 2, 2, 1, 2, 4, 4, 3, 0, 0, 1, 4, 2, 2, 2, 1, 2, 2, 0, 0, 0, 3, 4, 4, 4, 2, 0, 2, 4, 1, 4, 1, 3, 0, 4, 1, 2, 2, 3, 3, 4, 1, 2, 2, 1, 3, 0, 4, 4, 0, 4, 1, 1, 2, 4, 0, 1, 2, 1, 3, 1, 3, 0, 4, 2, 3, 1, 1, 2, 2, 2, 2, 3, 3, 2, 0, 4, 1, 0, 1, 3, 2, 2, 0, 0, 3, 3, 0, 3, 4, 0, 0, 2, 3, 2, 2, 0, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 2, 4, 3, 4, 0, 3, 3, 1, 3, 3, 4, 4, 2, 4, 0, 2, 0, 2, 2, 1, 0, 2, 2, 3, 4, 1, 1, 4, 3, 3, 0, 1, 3, 2, 2, 2, 0, 2, 0, 3, 4, 0, 2, 3, 4, 4, 0, 4, 3, 0, 2, 0, 4, 1, 1, 0, 3, 3, 2, 2, 4, 1, 2, 2, 4, 2, 2, 2, 2, 3, 0, 2, 4, 1, 4, 3, 1, 4, 2, 0, 3, 2, 4, 0, 4, 2, 3, 2, 3, 2, 3, 3, 0, 2] pubkeycol1116 = [1, 1, 4, 0, 0, 2, 4, 1, 3, 1, 3, 1, 1, 4, 2, 2, 1, 3, 2, 3, 3, 1, 3, 0, 4, 1, 3, 4, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 4, 0, 3, 3, 2, 4, 2, 1, 2, 2, 0, 3, 2, 1, 4, 1, 4, 3, 1, 2, 0, 0, 2, 3, 1, 1, 3, 3, 0, 0, 4, 4, 0, 4, 4, 2, 2, 2, 0, 4, 2, 1, 2, 0, 1, 1, 3, 3, 3, 0, 3, 3, 2, 0, 4, 3, 0, 3, 0, 0, 3, 1, 0, 3, 0, 1, 2, 4, 3, 0, 3, 4, 1, 2, 3, 3, 3, 4, 3, 4, 4, 3, 1, 2, 3, 0, 2, 4, 3, 2, 4, 4, 1, 3, 3, 4, 3, 4, 0, 3, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 3, 2, 0, 2, 4, 3, 1, 4, 1, 4, 1, 3, 2, 1, 4, 2, 2, 2, 0, 0, 1, 3, 2, 0, 2, 4, 3, 1, 3, 3, 3, 3, 4, 3, 1, 2, 2, 3, 0, 0, 1, 4, 2, 4, 1, 4, 3, 4, 2, 2, 4, 1, 1, 1, 4, 1, 1, 2, 2, 1, 1, 4, 2, 3, 0, 3, 1, 0, 2, 0, 1, 4, 4, 4, 2, 1, 4, 2, 0, 2, 2, 2, 0, 0, 4, 3, 3, 1, 4, 0, 3, 2, 3, 3, 1, 1, 4, 3, 3, 1, 1, 2, 0, 3, 1, 2, 3, 3, 4, 1, 3, 0, 4, 4, 1, 3, 3, 2, 1, 0, 3, 2, 0, 1, 2, 3, 3, 3, 0, 3, 3, 1, 3, 1, 3, 0, 3, 4, 2, 0, 1, 1, 1, 3, 2, 3, 0, 0, 2, 4, 4, 1, 4, 4, 4, 3, 2, 0, 0, 2, 1, 0, 1, 3, 1, 0, 1, 2, 4, 4, 0, 2, 1, 4, 0, 3, 4, 3, 4, 2, 1, 4, 3, 3, 1, 3, 0, 3, 0, 2, 1, 2, 1, 4, 1, 4, 1, 4, 2, 4, 3, 0, 0, 0, 4, 0, 0, 3, 0, 3, 1, 2, 3, 0, 4, 1, 2, 0, 0, 0, 2, 0, 3, 3, 4, 4, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 3, 2, 1, 0, 1, 0, 0, 3, 3, 3] pubkeycol1117 = [4, 2, 1, 0, 1, 3, 2, 4, 1, 1, 1, 0, 2, 2, 4, 0, 2, 1, 0, 3, 0, 2, 4, 1, 1, 2, 0, 3, 4, 2, 3, 0, 2, 4, 2, 3, 2, 4, 3, 1, 3, 3, 2, 3, 1, 1, 2, 0, 3, 0, 1, 0, 2, 0, 3, 3, 4, 0, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 2, 4, 4, 4, 3, 3, 3, 3, 0, 3, 0, 0, 2, 2, 3, 4, 3, 1, 1, 0, 2, 3, 2, 2, 2, 1, 4, 0, 3, 0, 4, 2, 0, 1, 4, 1, 0, 1, 4, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 3, 1, 2, 1, 2, 1, 4, 0, 1, 2, 0, 1, 4, 3, 4, 0, 1, 0, 0, 1, 1, 4, 0, 0, 3, 0, 0, 0, 3, 2, 2, 1, 4, 0, 0, 0, 0, 4, 0, 4, 4, 2, 3, 2, 4, 2, 4, 1, 4, 1, 0, 1, 0, 0, 3, 2, 0, 4, 1, 0, 3, 0, 4, 1, 4, 0, 3, 2, 3, 3, 2, 2, 0, 0, 1, 3, 3, 2, 1, 2, 3, 1, 0, 2, 0, 4, 4, 2, 3, 1, 0, 3, 4, 4, 0, 4, 4, 0, 3, 1, 4, 1, 0, 4, 4, 4, 3, 0, 2, 1, 2, 3, 2, 3, 4, 0, 4, 3, 3, 2, 2, 2, 4, 1, 0, 4, 3, 0, 4, 4, 4, 0, 2, 3, 3, 4, 3, 4, 2, 2, 2, 1, 1, 2, 2, 3, 1, 3, 3, 1, 1, 3, 1, 2, 2, 0, 0, 0, 2, 1, 1, 4, 1, 3, 4, 3, 3, 1, 2, 3, 0, 2, 0, 1, 1, 2, 2, 4, 1, 1, 1, 1, 2, 3, 4, 3, 1, 2, 3, 4, 1, 1, 0, 4, 1, 2, 3, 2, 2, 1, 2, 1, 2, 0, 1, 3, 4, 1, 3, 3, 1, 4, 4, 2, 0, 0, 2, 4, 3, 1, 3, 0, 0, 1, 3, 2, 0, 3, 1, 4, 3, 2, 2, 0, 1, 1, 2, 2, 0, 4, 4, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 3, 4, 4, 4, 2, 2, 1, 0, 0, 0, 0, 1, 3, 1, 3, 0, 4, 2, 4, 4, 0, 3, 4, 2, 4, 2, 3, 0, 4, 4, 3, 0] pubkeycol1118 = [1, 1, 2, 1, 0, 1, 2, 0, 1, 3, 1, 0, 4, 3, 1, 0, 3, 2, 3, 4, 4, 1, 2, 2, 0, 2, 4, 3, 3, 1, 3, 1, 1, 4, 3, 2, 1, 1, 4, 3, 2, 3, 0, 3, 0, 1, 0, 3, 0, 2, 1, 3, 0, 0, 0, 4, 3, 3, 1, 0, 3, 2, 4, 1, 4, 4, 0, 1, 0, 1, 2, 1, 4, 4, 4, 4, 1, 2, 3, 2, 4, 0, 2, 4, 0, 2, 0, 2, 3, 2, 0, 1, 4, 0, 1, 4, 2, 3, 1, 0, 4, 3, 0, 2, 0, 4, 4, 3, 1, 4, 1, 3, 2, 2, 3, 2, 1, 3, 4, 4, 0, 2, 2, 4, 3, 4, 0, 4, 2, 4, 4, 2, 2, 1, 0, 1, 1, 4, 1, 0, 2, 0, 2, 0, 3, 1, 2, 0, 0, 1, 3, 3, 0, 2, 2, 4, 0, 3, 3, 1, 4, 4, 2, 2, 4, 4, 3, 1, 0, 1, 0, 0, 4, 0, 1, 2, 4, 1, 1, 1, 3, 4, 4, 4, 1, 1, 1, 2, 2, 0, 1, 0, 1, 3, 1, 0, 2, 1, 0, 0, 3, 0, 3, 0, 0, 2, 2, 4, 4, 2, 1, 0, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 3, 3, 1, 2, 1, 4, 1, 0, 3, 2, 1, 4, 4, 2, 4, 1, 1, 3, 0, 2, 4, 1, 0, 4, 0, 1, 0, 3, 3, 3, 0, 3, 4, 0, 1, 0, 1, 4, 1, 1, 3, 1, 2, 3, 0, 3, 2, 4, 3, 0, 4, 0, 1, 3, 1, 2, 3, 0, 4, 0, 1, 1, 0, 2, 0, 1, 0, 2, 3, 4, 4, 1, 4, 2, 1, 3, 2, 4, 2, 3, 4, 4, 2, 0, 4, 3, 4, 4, 2, 1, 3, 4, 4, 2, 0, 0, 4, 3, 0, 2, 2, 2, 4, 2, 0, 2, 4, 0, 2, 2, 1, 0, 3, 2, 4, 3, 3, 0, 3, 2, 4, 2, 2, 4, 4, 0, 2, 3, 4, 3, 3, 4, 0, 0, 0, 4, 4, 3, 3, 3, 0, 2, 4, 4, 3, 1, 1, 2, 4, 1, 1, 2, 1, 2, 1, 3, 2, 2, 0, 1, 2, 2, 1, 2, 4, 3, 1, 0, 1, 1, 1, 0, 3, 0, 4, 3, 2, 2] pubkeycol1119 = [0, 3, 4, 0, 2, 0, 0, 2, 2, 0, 1, 4, 4, 3, 2, 3, 4, 4, 2, 3, 4, 1, 3, 2, 0, 2, 2, 0, 0, 2, 0, 3, 0, 2, 0, 1, 1, 4, 0, 2, 4, 1, 0, 0, 4, 0, 4, 1, 2, 2, 3, 3, 4, 2, 4, 2, 4, 3, 4, 1, 4, 4, 2, 0, 2, 2, 1, 0, 4, 0, 1, 4, 2, 1, 1, 2, 4, 3, 1, 2, 1, 3, 1, 1, 2, 0, 2, 3, 4, 3, 4, 1, 1, 1, 4, 0, 4, 3, 3, 0, 1, 1, 3, 0, 3, 4, 4, 4, 3, 0, 4, 3, 3, 0, 4, 1, 1, 2, 3, 1, 3, 0, 2, 2, 2, 1, 0, 2, 2, 1, 3, 4, 4, 3, 2, 1, 1, 0, 3, 0, 2, 3, 3, 1, 1, 2, 2, 4, 3, 1, 1, 1, 1, 2, 3, 1, 0, 1, 3, 3, 0, 0, 0, 3, 4, 4, 2, 2, 2, 3, 3, 4, 2, 0, 2, 3, 2, 1, 3, 1, 1, 3, 4, 1, 0, 3, 1, 1, 4, 2, 0, 0, 4, 3, 4, 1, 0, 4, 4, 3, 4, 1, 1, 1, 1, 4, 2, 3, 1, 4, 3, 1, 1, 0, 2, 0, 1, 0, 4, 1, 2, 1, 1, 2, 4, 4, 4, 0, 0, 2, 1, 4, 1, 0, 3, 1, 3, 3, 0, 2, 4, 3, 3, 2, 2, 4, 0, 4, 2, 2, 4, 1, 3, 2, 4, 1, 3, 1, 1, 2, 4, 0, 3, 4, 0, 4, 4, 1, 0, 2, 3, 4, 2, 0, 4, 4, 1, 0, 4, 0, 4, 1, 1, 2, 3, 0, 3, 2, 1, 4, 1, 1, 3, 0, 0, 2, 4, 3, 2, 2, 0, 1, 0, 2, 3, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 3, 4, 3, 2, 2, 3, 3, 0, 1, 2, 3, 3, 2, 0, 2, 2, 1, 0, 3, 2, 0, 0, 3, 0, 3, 3, 3, 4, 4, 4, 2, 3, 0, 2, 1, 1, 3, 1, 3, 3, 0, 2, 0, 3, 0, 4, 1, 2, 2, 2, 1, 4, 4, 1, 0, 3, 1, 3, 1, 4, 0, 2, 4, 4, 2, 1, 2, 0, 3, 3, 4, 0, 0, 2, 1, 0, 0, 1, 0, 3, 2, 2] pubkeycol1120 = [0, 3, 2, 0, 4, 1, 3, 2, 4, 3, 2, 3, 2, 4, 3, 4, 4, 2, 1, 4, 1, 2, 2, 1, 3, 4, 3, 2, 1, 1, 3, 3, 1, 2, 1, 2, 0, 1, 0, 4, 1, 2, 3, 4, 4, 2, 4, 4, 1, 0, 0, 4, 1, 2, 4, 2, 1, 3, 4, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 4, 2, 4, 1, 3, 0, 2, 4, 3, 1, 1, 2, 1, 4, 3, 1, 4, 3, 4, 1, 2, 1, 1, 1, 0, 0, 4, 1, 2, 3, 2, 3, 0, 4, 0, 1, 2, 4, 3, 3, 4, 1, 1, 1, 3, 2, 1, 0, 0, 1, 1, 4, 4, 0, 2, 3, 4, 0, 2, 1, 0, 3, 2, 0, 2, 2, 4, 4, 2, 0, 4, 4, 2, 2, 0, 4, 4, 3, 2, 1, 0, 3, 1, 2, 2, 3, 3, 2, 3, 3, 3, 0, 3, 1, 2, 4, 3, 3, 1, 2, 2, 3, 0, 1, 0, 0, 0, 0, 4, 3, 3, 4, 1, 0, 0, 2, 4, 2, 3, 1, 4, 4, 2, 4, 1, 1, 4, 3, 2, 1, 3, 1, 1, 2, 1, 3, 0, 2, 4, 2, 0, 1, 2, 1, 3, 3, 3, 4, 3, 2, 2, 4, 2, 3, 1, 0, 0, 4, 1, 1, 4, 0, 4, 4, 1, 3, 2, 2, 0, 4, 2, 1, 2, 0, 1, 1, 1, 3, 1, 1, 1, 1, 4, 0, 0, 4, 4, 3, 1, 3, 2, 3, 0, 3, 0, 4, 4, 1, 2, 3, 0, 2, 0, 4, 1, 2, 0, 0, 2, 2, 1, 0, 0, 3, 0, 0, 3, 0, 0, 3, 4, 4, 4, 1, 0, 4, 4, 2, 1, 2, 0, 0, 4, 2, 0, 0, 3, 0, 1, 2, 2, 4, 3, 4, 0, 4, 2, 4, 4, 3, 4, 2, 4, 4, 3, 1, 4, 4, 0, 2, 2, 0, 2, 3, 2, 4, 4, 1, 4, 3, 2, 3, 3, 1, 1, 0, 2, 4, 3, 0, 3, 0, 2, 4, 1, 3, 3, 4, 4, 3, 0, 0, 1, 0, 3, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 4, 3, 1, 3, 0, 4, 4, 2, 0, 2, 1, 0, 4, 1, 2, 2, 0, 4, 0, 4, 2, 2, 2] pubkeycol1121 = [3, 3, 1, 3, 2, 1, 1, 1, 3, 3, 4, 0, 4, 3, 0, 0, 3, 2, 3, 3, 4, 2, 3, 0, 1, 1, 3, 1, 3, 0, 4, 3, 2, 4, 2, 0, 0, 3, 0, 4, 0, 4, 1, 1, 2, 3, 0, 2, 2, 4, 4, 4, 1, 0, 2, 3, 2, 0, 2, 1, 2, 0, 3, 2, 4, 0, 3, 4, 2, 4, 2, 3, 3, 2, 3, 1, 0, 0, 1, 4, 3, 2, 1, 0, 4, 0, 2, 1, 0, 3, 1, 3, 0, 0, 2, 1, 3, 4, 4, 2, 4, 4, 3, 4, 3, 4, 4, 4, 3, 1, 1, 3, 0, 3, 1, 1, 3, 1, 4, 3, 2, 3, 0, 4, 2, 1, 3, 4, 2, 2, 2, 3, 4, 4, 0, 3, 4, 1, 4, 2, 3, 3, 0, 2, 0, 3, 2, 4, 2, 2, 3, 0, 2, 4, 3, 3, 0, 0, 2, 3, 3, 1, 4, 2, 2, 2, 1, 4, 3, 0, 3, 4, 4, 0, 2, 0, 3, 1, 4, 1, 0, 0, 4, 1, 4, 2, 1, 0, 2, 2, 1, 3, 2, 4, 4, 2, 2, 0, 0, 4, 3, 3, 1, 2, 3, 3, 1, 4, 1, 0, 3, 1, 2, 1, 4, 0, 4, 4, 4, 1, 4, 1, 3, 1, 2, 3, 2, 4, 2, 3, 0, 3, 2, 0, 2, 1, 4, 3, 3, 3, 2, 3, 4, 0, 1, 0, 0, 2, 3, 0, 3, 2, 2, 3, 1, 4, 1, 0, 3, 0, 2, 1, 1, 2, 1, 2, 4, 0, 1, 4, 4, 2, 1, 0, 0, 3, 2, 4, 1, 1, 0, 0, 3, 4, 0, 0, 1, 1, 1, 2, 4, 1, 3, 1, 0, 2, 2, 2, 2, 1, 0, 2, 4, 0, 3, 1, 2, 0, 0, 0, 4, 1, 2, 0, 4, 4, 1, 3, 1, 4, 1, 4, 1, 4, 4, 4, 2, 4, 1, 4, 0, 4, 3, 1, 4, 0, 3, 2, 3, 3, 4, 0, 2, 2, 0, 2, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 2, 1, 3, 1, 1, 4, 2, 1, 1, 1, 4, 2, 1, 3, 1, 0, 3, 0, 1, 4, 2, 4, 1, 4, 1, 2, 4, 3, 3, 2, 2, 0, 3, 4, 0, 4, 1, 3, 3, 3, 3, 3] pubkeycol1122 = [4, 1, 3, 4, 2, 1, 4, 1, 3, 2, 3, 4, 2, 4, 3, 4, 3, 0, 1, 3, 1, 1, 2, 1, 2, 1, 4, 2, 2, 0, 1, 2, 4, 1, 3, 0, 0, 2, 0, 2, 2, 3, 3, 4, 3, 2, 1, 4, 3, 1, 2, 1, 4, 3, 3, 1, 0, 0, 3, 2, 3, 3, 0, 0, 2, 2, 1, 0, 4, 0, 4, 3, 2, 4, 0, 2, 1, 0, 1, 2, 1, 0, 3, 1, 2, 4, 1, 1, 2, 4, 3, 1, 3, 4, 2, 4, 0, 3, 4, 2, 0, 2, 2, 4, 1, 1, 2, 3, 4, 2, 0, 0, 4, 1, 4, 4, 2, 2, 2, 0, 3, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 0, 0, 0, 4, 2, 3, 2, 1, 4, 4, 4, 4, 3, 2, 2, 1, 3, 0, 3, 3, 2, 0, 4, 0, 0, 0, 2, 3, 3, 3, 1, 0, 4, 1, 4, 4, 3, 3, 0, 1, 0, 2, 4, 1, 0, 2, 1, 3, 4, 0, 2, 4, 4, 1, 0, 3, 2, 0, 4, 3, 2, 4, 1, 0, 1, 3, 4, 3, 0, 1, 4, 3, 0, 0, 4, 1, 1, 3, 1, 2, 3, 1, 4, 4, 3, 1, 0, 0, 1, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 1, 3, 3, 1, 3, 3, 2, 2, 4, 0, 2, 0, 0, 4, 1, 4, 2, 2, 2, 4, 4, 3, 4, 1, 3, 4, 0, 1, 1, 2, 2, 3, 1, 0, 2, 3, 0, 3, 2, 4, 4, 2, 4, 2, 4, 3, 1, 3, 2, 3, 0, 0, 2, 0, 4, 0, 2, 0, 1, 3, 3, 0, 1, 0, 3, 3, 0, 2, 3, 1, 4, 2, 2, 4, 2, 1, 4, 3, 0, 4, 4, 1, 2, 3, 0, 2, 2, 0, 0, 3, 0, 0, 3, 0, 1, 4, 0, 3, 3, 0, 4, 2, 1, 0, 4, 0, 1, 2, 1, 3, 0, 2, 2, 2, 4, 2, 4, 2, 0, 3, 0, 1, 2, 2, 2, 0, 4, 4, 2, 2, 2, 4, 0, 1, 2, 4, 4, 1, 2, 0, 0, 2, 2, 4, 2, 1, 3, 2, 2, 0, 4, 1, 3, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 3, 2] pubkeycol1123 = [3, 2, 4, 0, 4, 4, 2, 2, 1, 2, 4, 4, 2, 1, 4, 3, 1, 0, 0, 2, 3, 0, 4, 4, 1, 3, 3, 1, 2, 0, 1, 3, 0, 1, 1, 2, 4, 2, 2, 3, 3, 2, 4, 4, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 3, 1, 2, 0, 2, 3, 4, 0, 0, 4, 0, 1, 3, 0, 2, 4, 4, 1, 2, 1, 0, 4, 0, 0, 1, 3, 1, 4, 4, 4, 4, 0, 0, 2, 2, 4, 4, 4, 4, 3, 4, 2, 3, 1, 0, 3, 0, 4, 1, 2, 1, 0, 0, 2, 2, 3, 3, 4, 2, 1, 3, 0, 4, 4, 0, 2, 0, 2, 1, 3, 1, 4, 2, 1, 4, 1, 3, 0, 1, 4, 2, 3, 3, 3, 3, 0, 3, 4, 2, 4, 0, 2, 1, 3, 0, 3, 3, 1, 1, 4, 1, 3, 1, 2, 4, 2, 4, 2, 1, 4, 0, 0, 4, 2, 1, 4, 1, 3, 1, 0, 0, 0, 2, 2, 1, 3, 1, 1, 4, 3, 0, 2, 4, 4, 1, 0, 2, 4, 0, 0, 3, 2, 3, 0, 0, 3, 0, 0, 3, 4, 3, 0, 2, 0, 4, 2, 0, 4, 0, 0, 0, 4, 0, 3, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 4, 1, 1, 1, 2, 2, 0, 4, 0, 4, 1, 1, 3, 4, 3, 3, 1, 2, 3, 4, 2, 3, 4, 1, 4, 0, 2, 4, 0, 3, 1, 1, 3, 0, 2, 2, 4, 3, 3, 2, 0, 4, 2, 1, 0, 1, 2, 0, 3, 2, 2, 4, 3, 2, 3, 4, 0, 3, 3, 4, 4, 2, 4, 2, 3, 4, 4, 4, 2, 2, 3, 2, 2, 0, 1, 3, 3, 2, 0, 2, 4, 2, 1, 3, 0, 0, 3, 0, 3, 0, 4, 2, 0, 2, 4, 1, 2, 2, 2, 1, 0, 3, 4, 2, 0, 1, 3, 3, 1, 1, 0, 2, 4, 2, 4, 3, 0, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 2, 4, 2, 1, 3, 2, 0, 3, 2, 4, 4, 2, 1, 4, 3, 0, 1, 3, 3, 3, 4, 2, 3, 4, 3, 2, 3, 0, 4, 0, 3, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol1124 = [3, 4, 4, 1, 0, 3, 2, 4, 1, 2, 1, 0, 1, 3, 3, 0, 4, 1, 3, 2, 3, 0, 0, 3, 3, 0, 3, 4, 0, 3, 2, 1, 3, 1, 2, 3, 2, 4, 2, 2, 0, 2, 1, 3, 4, 2, 3, 4, 4, 3, 0, 3, 4, 1, 0, 1, 3, 3, 4, 3, 0, 0, 3, 0, 3, 2, 3, 0, 2, 1, 4, 2, 2, 1, 3, 3, 1, 1, 1, 4, 0, 3, 0, 3, 1, 4, 4, 0, 2, 4, 2, 1, 2, 4, 1, 2, 1, 3, 3, 1, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 4, 0, 0, 0, 0, 1, 4, 2, 0, 3, 2, 1, 2, 0, 2, 0, 0, 3, 4, 3, 4, 4, 4, 3, 0, 2, 0, 3, 0, 0, 2, 1, 0, 3, 1, 0, 4, 4, 4, 3, 0, 0, 2, 1, 4, 2, 3, 3, 4, 0, 2, 0, 0, 1, 1, 2, 3, 0, 3, 4, 3, 2, 2, 3, 0, 3, 2, 3, 1, 2, 4, 3, 2, 4, 1, 2, 3, 0, 3, 3, 3, 1, 4, 1, 2, 3, 2, 0, 1, 2, 2, 2, 2, 1, 4, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 1, 1, 0, 3, 2, 0, 1, 2, 2, 0, 2, 1, 4, 3, 2, 1, 1, 0, 0, 0, 4, 0, 1, 4, 2, 3, 0, 1, 2, 1, 4, 4, 3, 1, 1, 3, 3, 1, 4, 4, 4, 2, 3, 0, 0, 0, 0, 3, 3, 4, 3, 4, 0, 3, 4, 1, 4, 1, 4, 0, 3, 1, 2, 0, 0, 2, 2, 0, 3, 0, 2, 1, 1, 0, 2, 2, 0, 4, 1, 4, 2, 2, 1, 1, 3, 3, 2, 1, 4, 3, 0, 2, 3, 1, 3, 0, 4, 0, 2, 0, 2, 2, 2, 3, 0, 4, 4, 2, 3, 2, 0, 0, 0, 4, 0, 0, 4, 1, 4, 0, 0, 2, 1, 3, 2, 4, 1, 3, 0, 2, 2, 1, 2, 3, 1, 2, 4, 4, 4, 1, 4, 0, 3, 0, 4, 2, 1, 0, 3, 1, 1, 1, 2, 3, 4, 0, 4, 4, 3, 0, 3, 2, 2, 4, 0, 3, 2, 1, 3, 4, 4, 1, 1, 2, 3, 0, 2, 0, 1, 1, 4, 3, 0] pubkeycol1125 = [1, 4, 1, 4, 3, 2, 4, 2, 3, 4, 3, 3, 2, 1, 4, 2, 1, 0, 0, 0, 4, 3, 0, 1, 0, 1, 4, 1, 3, 4, 4, 1, 2, 0, 0, 4, 3, 2, 2, 3, 4, 4, 1, 4, 2, 0, 0, 3, 4, 2, 1, 4, 4, 2, 2, 1, 3, 2, 1, 3, 0, 0, 1, 2, 2, 1, 3, 4, 1, 3, 3, 0, 3, 4, 4, 0, 0, 1, 1, 1, 3, 1, 1, 2, 2, 3, 3, 0, 3, 0, 1, 4, 0, 1, 1, 1, 3, 1, 0, 3, 1, 1, 2, 3, 2, 0, 4, 3, 2, 4, 2, 2, 1, 0, 1, 0, 2, 1, 3, 3, 2, 3, 4, 2, 1, 1, 2, 1, 2, 2, 1, 3, 1, 0, 1, 2, 1, 4, 4, 4, 0, 2, 2, 0, 1, 3, 3, 4, 1, 0, 1, 3, 0, 2, 0, 2, 2, 1, 3, 2, 2, 0, 1, 0, 3, 3, 1, 0, 4, 4, 1, 1, 1, 1, 0, 3, 2, 3, 2, 2, 3, 3, 4, 0, 1, 1, 0, 3, 1, 2, 1, 2, 3, 0, 3, 0, 3, 0, 3, 0, 2, 2, 2, 2, 3, 1, 2, 4, 0, 4, 1, 4, 1, 3, 2, 3, 1, 1, 3, 0, 0, 1, 3, 4, 2, 4, 2, 4, 2, 1, 1, 3, 0, 2, 4, 2, 2, 3, 1, 0, 4, 2, 3, 1, 4, 1, 0, 4, 0, 4, 3, 1, 4, 1, 0, 4, 2, 1, 4, 2, 1, 1, 0, 0, 4, 4, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 4, 2, 0, 0, 3, 1, 2, 3, 0, 1, 0, 4, 0, 2, 1, 4, 1, 1, 2, 1, 2, 3, 2, 1, 2, 4, 1, 2, 2, 0, 4, 0, 1, 2, 4, 4, 3, 3, 2, 3, 1, 4, 4, 1, 1, 0, 2, 3, 2, 2, 4, 4, 2, 0, 3, 3, 0, 4, 3, 2, 3, 3, 4, 2, 0, 4, 2, 0, 1, 3, 4, 0, 4, 2, 0, 1, 1, 0, 0, 4, 2, 3, 4, 3, 0, 3, 3, 1, 3, 3, 4, 3, 1, 2, 1, 4, 2, 4, 3, 4, 2, 4, 0, 2, 4, 2, 1, 2, 2, 4, 4, 1, 1, 1, 0, 0, 4, 4, 2, 3, 1, 2, 2, 0] pubkeycol1126 = [3, 3, 3, 1, 3, 4, 4, 2, 3, 1, 1, 3, 4, 2, 2, 1, 1, 4, 3, 1, 3, 3, 1, 0, 0, 2, 3, 0, 3, 4, 2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 4, 1, 0, 2, 4, 0, 2, 2, 2, 1, 1, 2, 4, 2, 3, 0, 3, 2, 0, 2, 0, 3, 4, 2, 0, 1, 2, 4, 1, 4, 0, 4, 4, 1, 3, 0, 3, 1, 1, 0, 4, 2, 4, 2, 0, 2, 2, 0, 0, 0, 4, 4, 0, 4, 0, 0, 1, 0, 2, 4, 3, 4, 3, 2, 1, 2, 0, 1, 3, 4, 4, 1, 2, 4, 1, 1, 3, 2, 4, 1, 0, 1, 3, 2, 2, 1, 1, 1, 0, 2, 2, 1, 4, 0, 0, 1, 4, 3, 0, 3, 1, 3, 1, 0, 2, 2, 4, 1, 2, 0, 2, 4, 4, 3, 2, 4, 2, 0, 1, 0, 4, 0, 1, 2, 1, 1, 1, 4, 0, 1, 0, 2, 3, 3, 2, 2, 4, 2, 2, 3, 0, 1, 4, 1, 4, 0, 1, 1, 1, 3, 0, 4, 0, 2, 1, 3, 1, 2, 2, 4, 4, 3, 4, 3, 0, 0, 3, 1, 3, 3, 3, 4, 2, 3, 0, 0, 0, 4, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 3, 4, 3, 0, 2, 0, 3, 2, 4, 1, 3, 0, 2, 1, 1, 4, 4, 2, 2, 3, 2, 2, 1, 2, 2, 1, 4, 4, 4, 4, 4, 1, 2, 1, 2, 2, 2, 3, 4, 2, 2, 2, 0, 2, 1, 3, 4, 2, 4, 4, 3, 0, 4, 0, 1, 0, 1, 4, 1, 4, 0, 1, 1, 2, 1, 4, 3, 0, 1, 2, 2, 2, 3, 1, 0, 3, 2, 2, 4, 2, 3, 1, 3, 0, 2, 1, 4, 0, 3, 0, 3, 1, 3, 2, 2, 2, 4, 4, 1, 3, 4, 4, 1, 1, 4, 4, 2, 3, 0, 4, 1, 1, 1, 2, 1, 2, 4, 0, 4, 4, 2, 2, 0, 3, 1, 2, 1, 3, 1, 0, 4, 2, 1, 2, 2, 0, 3, 2, 0, 0, 1, 1, 2, 3, 1, 2, 4, 4, 0, 1, 3, 1, 1, 3, 0, 3, 3, 2, 0, 0, 0, 2, 0, 1, 2, 3, 1, 0, 2, 0, 1] pubkeycol1127 = [3, 0, 0, 4, 3, 1, 3, 4, 2, 2, 1, 0, 4, 2, 0, 0, 3, 2, 4, 1, 4, 2, 1, 2, 0, 3, 1, 0, 0, 0, 3, 0, 2, 3, 1, 4, 4, 2, 4, 3, 3, 1, 3, 0, 1, 3, 2, 4, 4, 2, 3, 0, 2, 3, 2, 2, 3, 0, 2, 1, 0, 0, 0, 3, 1, 4, 3, 4, 0, 0, 3, 1, 1, 3, 3, 0, 1, 0, 0, 0, 3, 3, 0, 4, 1, 0, 1, 2, 2, 3, 1, 2, 3, 1, 2, 1, 4, 2, 3, 2, 3, 4, 3, 2, 2, 1, 4, 3, 4, 3, 2, 1, 0, 4, 4, 0, 4, 3, 1, 4, 0, 4, 2, 3, 2, 3, 2, 3, 1, 1, 4, 1, 0, 4, 1, 0, 2, 0, 3, 2, 2, 0, 4, 0, 3, 0, 4, 2, 0, 4, 0, 4, 4, 4, 3, 1, 1, 4, 1, 1, 4, 0, 2, 2, 3, 2, 4, 3, 4, 4, 3, 1, 0, 4, 2, 3, 1, 4, 1, 3, 1, 3, 1, 0, 1, 1, 2, 1, 3, 1, 2, 0, 0, 2, 2, 3, 1, 4, 3, 2, 0, 3, 4, 4, 4, 1, 0, 2, 1, 0, 3, 2, 2, 2, 3, 0, 4, 1, 0, 3, 0, 3, 4, 2, 1, 2, 4, 1, 2, 3, 2, 3, 4, 4, 1, 4, 0, 4, 0, 3, 1, 2, 4, 1, 4, 1, 0, 1, 2, 3, 0, 3, 4, 2, 3, 3, 3, 4, 1, 1, 1, 4, 1, 1, 3, 1, 4, 4, 4, 4, 2, 0, 0, 3, 0, 3, 4, 4, 0, 4, 3, 4, 0, 1, 1, 3, 2, 3, 1, 4, 0, 2, 3, 4, 3, 2, 1, 1, 1, 2, 1, 0, 1, 3, 0, 0, 2, 2, 3, 1, 1, 0, 0, 2, 3, 0, 4, 4, 3, 2, 0, 4, 3, 2, 1, 2, 0, 2, 3, 3, 0, 2, 1, 4, 4, 3, 0, 0, 1, 1, 2, 2, 1, 0, 4, 3, 1, 2, 1, 0, 3, 3, 1, 3, 4, 1, 3, 3, 4, 1, 1, 2, 1, 0, 4, 3, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 3, 2, 4, 2, 3, 3, 0, 0, 1, 1, 2, 3, 3, 4, 3, 0, 1, 1] pubkeycol1128 = [1, 1, 3, 1, 4, 4, 2, 1, 2, 3, 0, 3, 0, 1, 2, 3, 0, 0, 3, 2, 0, 4, 1, 0, 1, 3, 1, 0, 3, 0, 2, 3, 4, 2, 3, 2, 1, 2, 0, 4, 2, 1, 1, 2, 0, 0, 0, 2, 4, 2, 0, 1, 3, 3, 3, 4, 2, 0, 2, 0, 2, 1, 0, 0, 2, 3, 0, 1, 0, 4, 0, 4, 4, 4, 2, 1, 2, 2, 2, 3, 0, 3, 0, 1, 2, 2, 4, 2, 2, 4, 2, 2, 0, 3, 4, 1, 4, 1, 2, 3, 1, 3, 1, 2, 1, 2, 4, 1, 2, 3, 0, 0, 2, 1, 3, 0, 3, 4, 0, 2, 0, 2, 0, 1, 3, 3, 3, 2, 4, 4, 3, 2, 2, 1, 2, 3, 3, 0, 2, 4, 3, 0, 4, 4, 0, 1, 1, 1, 0, 3, 3, 3, 1, 4, 0, 3, 2, 0, 0, 4, 4, 3, 0, 2, 3, 3, 0, 2, 2, 3, 1, 0, 2, 1, 1, 3, 2, 3, 3, 0, 3, 4, 3, 3, 0, 3, 4, 4, 2, 0, 2, 1, 0, 0, 1, 4, 3, 0, 2, 0, 3, 3, 1, 3, 2, 1, 0, 2, 0, 3, 4, 2, 2, 0, 4, 1, 4, 2, 3, 0, 3, 1, 4, 2, 3, 4, 2, 3, 1, 2, 2, 2, 0, 2, 3, 0, 2, 4, 4, 2, 1, 2, 2, 1, 1, 2, 2, 3, 3, 4, 3, 3, 1, 0, 2, 2, 3, 4, 0, 4, 2, 0, 4, 2, 1, 2, 3, 1, 1, 4, 4, 4, 2, 0, 0, 1, 1, 2, 4, 3, 1, 0, 3, 2, 4, 0, 1, 2, 2, 1, 0, 1, 4, 4, 1, 0, 3, 1, 0, 3, 0, 2, 0, 0, 0, 3, 0, 4, 4, 1, 4, 4, 2, 1, 3, 2, 2, 3, 0, 3, 1, 0, 4, 0, 1, 3, 1, 2, 0, 1, 1, 4, 3, 1, 2, 3, 3, 2, 3, 0, 0, 3, 3, 4, 0, 3, 3, 2, 1, 2, 2, 1, 1, 0, 3, 0, 2, 3, 4, 2, 3, 3, 1, 4, 3, 3, 4, 0, 2, 0, 4, 3, 0, 0, 4, 1, 2, 3, 1, 0, 4, 4, 0, 3, 1, 3, 0, 3, 1, 1, 2, 3, 4, 1, 2, 0, 0, 2, 4, 4] pubkeycol1129 = [0, 0, 1, 4, 1, 0, 2, 4, 4, 1, 3, 1, 1, 3, 3, 4, 0, 2, 4, 0, 4, 3, 0, 4, 2, 2, 4, 4, 1, 4, 0, 3, 4, 2, 1, 1, 2, 0, 4, 4, 0, 3, 3, 4, 4, 3, 2, 2, 2, 1, 3, 1, 2, 3, 4, 4, 2, 4, 2, 0, 0, 3, 1, 4, 4, 1, 4, 4, 4, 0, 0, 2, 2, 3, 3, 0, 0, 2, 3, 2, 0, 0, 1, 1, 2, 3, 2, 0, 0, 4, 4, 2, 4, 3, 2, 2, 0, 0, 1, 1, 1, 3, 2, 4, 2, 1, 2, 4, 2, 0, 4, 3, 1, 0, 0, 1, 1, 3, 1, 0, 4, 0, 3, 4, 1, 1, 2, 2, 4, 3, 2, 1, 3, 2, 3, 1, 4, 2, 1, 2, 4, 0, 4, 2, 1, 3, 1, 1, 4, 3, 3, 0, 3, 3, 3, 0, 2, 1, 0, 1, 4, 3, 1, 1, 3, 1, 3, 1, 3, 2, 2, 0, 3, 3, 4, 2, 2, 0, 2, 2, 2, 0, 4, 4, 4, 2, 0, 3, 4, 2, 1, 3, 4, 1, 3, 1, 3, 0, 2, 1, 4, 1, 0, 1, 1, 4, 0, 0, 3, 3, 1, 0, 3, 1, 1, 4, 0, 2, 0, 2, 2, 0, 1, 1, 4, 4, 2, 2, 2, 4, 4, 3, 1, 4, 2, 2, 4, 1, 4, 1, 1, 4, 2, 2, 0, 3, 2, 2, 1, 4, 4, 4, 1, 4, 2, 4, 4, 1, 3, 4, 4, 4, 4, 3, 4, 4, 0, 3, 2, 0, 3, 0, 2, 1, 1, 0, 4, 2, 1, 3, 4, 0, 3, 4, 4, 3, 3, 4, 4, 4, 4, 0, 4, 3, 3, 4, 0, 1, 1, 0, 4, 0, 0, 4, 4, 1, 4, 1, 2, 2, 0, 3, 4, 1, 0, 0, 3, 3, 1, 4, 0, 1, 0, 2, 2, 3, 3, 2, 1, 4, 3, 3, 3, 4, 2, 4, 2, 4, 1, 2, 1, 0, 3, 4, 3, 3, 0, 1, 1, 0, 3, 2, 3, 1, 4, 3, 1, 0, 0, 2, 3, 1, 2, 3, 2, 3, 0, 3, 2, 4, 0, 2, 1, 3, 0, 0, 1, 0, 4, 1, 4, 3, 4, 0, 1, 0, 3, 1, 2, 1, 0, 3, 1, 4, 4, 3, 4, 0, 3, 1] pubkeycol1130 = [2, 0, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 0, 4, 3, 3, 1, 1, 4, 3, 4, 3, 4, 0, 4, 3, 4, 1, 2, 3, 0, 3, 1, 4, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 2, 3, 2, 3, 0, 4, 1, 1, 0, 3, 3, 3, 1, 4, 3, 2, 0, 4, 1, 0, 2, 3, 2, 0, 3, 0, 1, 0, 1, 3, 3, 0, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 1, 1, 4, 1, 2, 4, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 4, 2, 1, 4, 3, 2, 4, 4, 0, 2, 3, 1, 3, 3, 4, 1, 3, 4, 1, 4, 2, 2, 2, 3, 0, 1, 0, 3, 2, 0, 3, 3, 1, 2, 3, 2, 3, 0, 1, 2, 0, 2, 1, 0, 3, 2, 4, 4, 0, 3, 1, 4, 0, 3, 1, 4, 3, 1, 1, 0, 2, 0, 4, 0, 2, 2, 4, 1, 1, 0, 4, 3, 2, 1, 1, 4, 0, 0, 4, 4, 4, 4, 3, 4, 0, 4, 0, 1, 3, 3, 2, 1, 1, 1, 4, 2, 2, 0, 3, 0, 2, 0, 4, 3, 1, 4, 1, 0, 3, 3, 2, 2, 3, 2, 3, 2, 4, 1, 0, 0, 0, 3, 2, 3, 3, 3, 0, 2, 2, 0, 4, 3, 1, 3, 3, 2, 4, 3, 2, 2, 4, 2, 2, 0, 1, 2, 1, 3, 4, 3, 2, 2, 3, 1, 1, 1, 2, 4, 3, 0, 0, 0, 1, 0, 0, 4, 2, 4, 1, 2, 3, 3, 2, 1, 4, 4, 0, 0, 1, 4, 2, 4, 3, 0, 3, 0, 4, 3, 3, 1, 2, 2, 1, 2, 4, 1, 1, 3, 2, 3, 3, 3, 4, 3, 4, 0, 1, 0, 3, 0, 0, 3, 1, 4, 1, 4, 1, 4, 3, 2, 4, 3, 1, 3, 1, 1, 1, 1, 0, 4, 4, 0, 1, 3, 3, 4, 3, 0, 1, 0, 4, 1, 2, 3, 0, 3, 3, 2, 2, 3, 2, 2, 2, 3, 0, 3, 2, 4, 4, 0, 0, 0, 4, 4, 1, 1, 0, 2, 2, 2, 1, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 0, 1, 4, 1, 4, 2, 3, 1, 4, 2, 4, 2, 4, 2, 0] pubkeycol1131 = [1, 3, 4, 2, 1, 1, 0, 1, 3, 1, 4, 3, 2, 2, 3, 4, 4, 4, 2, 1, 4, 1, 0, 3, 0, 3, 2, 2, 1, 2, 4, 1, 1, 3, 3, 2, 2, 2, 0, 4, 3, 2, 0, 2, 1, 3, 1, 1, 2, 3, 0, 4, 0, 3, 3, 3, 4, 1, 2, 2, 3, 2, 2, 0, 4, 0, 4, 3, 4, 2, 1, 2, 1, 1, 0, 0, 0, 4, 4, 4, 3, 2, 1, 3, 3, 4, 2, 3, 1, 1, 2, 1, 3, 0, 0, 4, 4, 0, 4, 3, 2, 2, 4, 2, 4, 3, 0, 2, 4, 0, 2, 4, 1, 4, 0, 0, 2, 0, 0, 3, 0, 2, 1, 2, 0, 0, 1, 0, 2, 4, 1, 1, 2, 0, 2, 2, 3, 3, 2, 0, 4, 1, 3, 2, 4, 0, 0, 0, 4, 4, 4, 4, 3, 4, 2, 4, 2, 2, 3, 4, 0, 4, 3, 0, 3, 2, 3, 0, 0, 4, 4, 4, 2, 2, 1, 4, 1, 4, 0, 4, 4, 1, 1, 0, 0, 4, 0, 4, 0, 1, 1, 3, 0, 4, 3, 0, 0, 2, 2, 1, 0, 2, 2, 4, 2, 4, 3, 2, 3, 4, 1, 4, 1, 0, 2, 2, 0, 3, 4, 1, 0, 4, 1, 1, 2, 2, 2, 1, 4, 2, 1, 3, 1, 2, 0, 1, 2, 0, 2, 4, 0, 0, 4, 0, 4, 4, 2, 0, 1, 1, 2, 0, 0, 3, 0, 0, 0, 0, 0, 1, 4, 2, 2, 2, 4, 4, 1, 1, 3, 2, 4, 0, 3, 2, 4, 3, 1, 4, 3, 3, 2, 1, 3, 2, 2, 3, 3, 4, 3, 0, 3, 1, 4, 0, 1, 3, 1, 2, 2, 3, 2, 4, 3, 4, 0, 2, 1, 4, 3, 4, 4, 0, 4, 4, 3, 3, 1, 2, 2, 1, 0, 4, 3, 0, 0, 0, 4, 0, 2, 4, 0, 4, 2, 1, 3, 4, 3, 3, 3, 1, 2, 2, 2, 3, 3, 0, 3, 3, 0, 2, 0, 2, 3, 4, 4, 1, 1, 0, 3, 3, 0, 2, 0, 3, 3, 2, 4, 4, 2, 1, 0, 2, 1, 0, 4, 0, 3, 4, 0, 2, 2, 2, 4, 3, 4, 3, 3, 0, 3, 4, 1, 2, 4, 0, 1, 1, 2, 0, 3, 1] pubkeycol1132 = [2, 1, 1, 1, 0, 4, 3, 1, 3, 2, 2, 0, 4, 3, 0, 4, 2, 3, 2, 2, 0, 1, 1, 0, 2, 1, 1, 4, 0, 2, 0, 3, 0, 0, 2, 3, 1, 3, 1, 4, 4, 3, 3, 3, 2, 3, 2, 2, 1, 3, 0, 0, 3, 4, 4, 1, 3, 0, 4, 0, 1, 2, 2, 4, 2, 2, 2, 2, 2, 1, 2, 4, 2, 4, 4, 3, 0, 3, 3, 3, 1, 3, 4, 3, 3, 4, 2, 3, 3, 0, 1, 2, 0, 4, 4, 4, 3, 2, 1, 3, 0, 3, 3, 2, 0, 1, 2, 1, 3, 4, 1, 3, 0, 1, 2, 0, 2, 0, 4, 0, 0, 4, 3, 4, 4, 0, 2, 0, 2, 1, 2, 1, 2, 2, 4, 4, 2, 0, 1, 0, 2, 0, 1, 2, 0, 4, 0, 3, 2, 0, 1, 2, 3, 3, 4, 3, 4, 2, 3, 2, 3, 0, 4, 1, 2, 2, 2, 1, 4, 0, 1, 2, 2, 2, 2, 4, 2, 3, 3, 2, 0, 1, 1, 3, 4, 1, 4, 0, 1, 1, 0, 1, 4, 0, 4, 4, 1, 4, 2, 1, 0, 2, 3, 4, 3, 2, 3, 4, 1, 0, 1, 1, 4, 2, 3, 4, 4, 3, 0, 0, 4, 3, 4, 2, 4, 1, 2, 0, 3, 0, 2, 4, 1, 1, 3, 1, 1, 0, 0, 1, 3, 3, 3, 4, 4, 1, 1, 4, 0, 3, 3, 4, 2, 0, 0, 4, 0, 1, 1, 2, 0, 1, 3, 4, 2, 0, 1, 4, 3, 2, 2, 1, 3, 0, 1, 3, 3, 1, 1, 1, 3, 4, 4, 3, 1, 1, 2, 1, 1, 1, 3, 4, 1, 3, 4, 1, 0, 0, 2, 2, 2, 4, 4, 4, 3, 0, 2, 0, 0, 4, 4, 4, 1, 3, 4, 2, 3, 1, 1, 0, 3, 4, 3, 0, 3, 0, 1, 2, 1, 2, 2, 4, 4, 1, 0, 2, 1, 3, 3, 4, 2, 3, 3, 4, 0, 3, 3, 1, 1, 2, 0, 3, 1, 0, 0, 4, 4, 0, 2, 3, 3, 4, 3, 3, 0, 4, 2, 3, 1, 3, 0, 3, 4, 2, 1, 2, 4, 2, 0, 0, 0, 0, 0, 1, 1, 4, 3, 3, 3, 2, 2, 3, 3, 0, 1, 2, 2, 0, 3, 0] pubkeycol1133 = [0, 2, 4, 4, 2, 1, 2, 3, 2, 4, 4, 1, 2, 4, 3, 0, 3, 0, 2, 3, 3, 4, 3, 2, 0, 1, 3, 4, 4, 2, 2, 2, 4, 3, 2, 0, 2, 2, 2, 2, 3, 1, 3, 3, 2, 0, 2, 1, 4, 4, 3, 0, 2, 2, 2, 2, 4, 2, 1, 4, 4, 1, 4, 1, 2, 3, 4, 0, 2, 1, 0, 0, 2, 0, 4, 0, 1, 4, 4, 0, 3, 0, 3, 0, 3, 0, 4, 3, 3, 2, 4, 2, 4, 4, 2, 3, 3, 0, 0, 0, 4, 4, 1, 4, 3, 4, 3, 1, 2, 0, 1, 2, 1, 1, 4, 4, 2, 2, 4, 1, 3, 4, 2, 4, 1, 3, 2, 3, 3, 4, 1, 2, 3, 2, 3, 3, 0, 2, 1, 2, 3, 2, 2, 4, 1, 4, 0, 4, 4, 4, 4, 3, 2, 1, 4, 2, 4, 3, 3, 4, 4, 3, 0, 3, 3, 2, 3, 3, 2, 4, 2, 1, 2, 2, 0, 2, 1, 4, 2, 1, 1, 4, 4, 3, 4, 2, 0, 4, 2, 3, 0, 0, 0, 4, 1, 3, 0, 3, 4, 1, 2, 0, 0, 3, 3, 1, 2, 4, 3, 3, 1, 3, 0, 1, 0, 4, 2, 1, 0, 2, 1, 3, 0, 4, 3, 0, 3, 3, 1, 3, 2, 3, 1, 0, 2, 4, 3, 4, 4, 0, 1, 1, 4, 0, 4, 1, 2, 0, 0, 4, 1, 2, 1, 1, 4, 0, 4, 0, 0, 2, 3, 4, 3, 2, 0, 3, 4, 3, 1, 4, 1, 4, 2, 0, 3, 0, 1, 2, 1, 3, 0, 3, 3, 0, 4, 3, 4, 2, 2, 1, 2, 4, 3, 1, 3, 2, 4, 2, 0, 0, 1, 0, 3, 4, 2, 3, 2, 4, 2, 1, 3, 0, 2, 3, 0, 4, 0, 2, 4, 0, 2, 2, 2, 3, 3, 0, 4, 0, 2, 4, 1, 4, 2, 2, 2, 4, 0, 4, 3, 1, 1, 3, 3, 2, 1, 0, 2, 1, 1, 1, 0, 2, 4, 2, 2, 0, 4, 2, 0, 1, 0, 1, 4, 4, 3, 1, 0, 3, 0, 1, 1, 0, 4, 3, 0, 3, 2, 0, 3, 1, 2, 0, 4, 3, 0, 4, 0, 2, 2, 3, 3, 3, 4, 0, 4, 0, 1, 0, 0, 0] pubkeycol1134 = [1, 4, 4, 2, 4, 1, 0, 1, 1, 0, 3, 0, 2, 0, 3, 0, 1, 0, 3, 0, 1, 2, 0, 4, 4, 2, 2, 2, 4, 2, 0, 0, 4, 2, 1, 1, 0, 4, 1, 1, 0, 1, 3, 4, 0, 4, 0, 3, 4, 3, 3, 3, 4, 2, 1, 0, 0, 1, 1, 4, 1, 2, 2, 3, 0, 1, 4, 1, 4, 2, 3, 3, 3, 0, 1, 3, 1, 4, 3, 1, 2, 3, 3, 0, 1, 0, 3, 4, 3, 4, 2, 3, 3, 4, 4, 2, 3, 3, 3, 1, 1, 4, 3, 0, 2, 4, 1, 3, 2, 3, 3, 0, 3, 1, 1, 3, 1, 2, 2, 3, 4, 4, 4, 4, 0, 4, 3, 0, 3, 1, 4, 2, 3, 0, 2, 4, 0, 2, 1, 1, 0, 4, 1, 3, 0, 4, 0, 4, 2, 1, 2, 4, 4, 0, 1, 4, 3, 1, 1, 3, 1, 4, 3, 1, 2, 0, 3, 4, 0, 3, 3, 1, 1, 0, 1, 4, 2, 4, 2, 1, 3, 1, 1, 4, 1, 1, 3, 2, 0, 3, 3, 3, 4, 0, 4, 4, 1, 1, 3, 2, 2, 0, 4, 1, 1, 4, 3, 4, 3, 4, 3, 1, 1, 0, 2, 0, 4, 1, 1, 3, 3, 4, 4, 1, 3, 3, 0, 4, 1, 0, 0, 2, 1, 3, 3, 0, 2, 4, 2, 3, 0, 0, 3, 1, 2, 4, 1, 1, 2, 1, 0, 1, 3, 0, 0, 2, 0, 3, 0, 1, 3, 1, 0, 0, 1, 1, 4, 4, 3, 0, 0, 1, 2, 3, 4, 3, 4, 3, 0, 4, 2, 0, 1, 1, 2, 2, 4, 3, 1, 3, 2, 3, 0, 0, 0, 0, 4, 4, 1, 2, 1, 0, 1, 1, 1, 2, 0, 4, 4, 0, 3, 4, 4, 1, 3, 1, 0, 4, 3, 0, 1, 0, 2, 0, 4, 1, 0, 0, 1, 4, 1, 0, 2, 1, 3, 2, 1, 0, 1, 1, 3, 4, 0, 3, 4, 3, 0, 0, 2, 4, 1, 2, 1, 2, 1, 3, 2, 3, 2, 0, 0, 0, 4, 1, 3, 0, 2, 0, 0, 2, 3, 0, 2, 0, 2, 0, 4, 4, 1, 4, 4, 2, 4, 2, 3, 4, 2, 4, 2, 3, 3, 2, 4, 3, 0, 4, 1, 2, 1, 3] pubkeycol1135 = [1, 1, 0, 4, 3, 4, 0, 4, 3, 0, 4, 4, 0, 4, 1, 0, 1, 2, 3, 2, 3, 4, 2, 1, 4, 4, 1, 4, 3, 4, 1, 1, 3, 2, 3, 4, 3, 0, 3, 3, 1, 2, 4, 1, 0, 4, 1, 3, 3, 4, 3, 0, 0, 4, 2, 2, 1, 2, 1, 1, 0, 3, 4, 2, 4, 2, 1, 0, 3, 2, 3, 3, 0, 4, 1, 4, 1, 0, 1, 3, 4, 4, 3, 3, 4, 0, 2, 0, 4, 3, 3, 0, 4, 3, 4, 2, 4, 1, 1, 4, 1, 2, 3, 4, 2, 3, 3, 3, 2, 0, 0, 1, 1, 2, 2, 0, 3, 1, 2, 2, 2, 4, 3, 2, 0, 3, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 4, 3, 0, 4, 3, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 0, 1, 2, 2, 3, 0, 4, 4, 2, 1, 0, 2, 4, 0, 3, 2, 1, 4, 2, 0, 3, 2, 0, 2, 4, 3, 3, 3, 0, 0, 1, 0, 0, 2, 3, 0, 3, 3, 4, 3, 2, 1, 0, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 3, 1, 0, 4, 1, 2, 0, 4, 2, 4, 4, 1, 3, 1, 3, 2, 2, 1, 1, 1, 0, 0, 2, 3, 0, 1, 3, 0, 3, 4, 3, 0, 4, 2, 4, 0, 0, 0, 2, 0, 0, 2, 1, 3, 3, 1, 3, 2, 2, 1, 4, 1, 2, 0, 0, 3, 1, 1, 4, 0, 2, 3, 2, 3, 1, 1, 4, 0, 4, 4, 4, 4, 3, 0, 0, 1, 0, 4, 2, 4, 3, 1, 0, 2, 2, 0, 2, 2, 3, 0, 0, 1, 2, 2, 3, 1, 1, 2, 3, 0, 1, 4, 2, 4, 1, 2, 2, 1, 1, 4, 1, 2, 0, 0, 0, 0, 1, 3, 4, 0, 4, 2, 4, 2, 0, 3, 4, 3, 1, 3, 2, 4, 3, 3, 4, 1, 1, 3, 3, 2, 0, 1, 1, 3, 4, 0, 0, 1, 4, 2, 4, 0, 0, 4, 1, 3, 4, 0, 2, 1, 2, 1, 4, 3, 4, 0, 3, 3, 2, 2, 2, 2, 4, 4, 2, 0, 3, 2, 1, 0, 0, 1, 0, 3, 3, 1, 1] pubkeycol1136 = [0, 0, 1, 3, 1, 0, 4, 4, 2, 0, 1, 4, 3, 1, 1, 0, 4, 3, 1, 1, 2, 0, 4, 2, 2, 0, 4, 0, 3, 0, 4, 0, 2, 4, 0, 1, 3, 4, 1, 2, 4, 4, 1, 1, 4, 4, 1, 1, 4, 3, 2, 0, 4, 2, 4, 4, 1, 1, 0, 0, 3, 4, 3, 1, 4, 0, 3, 3, 2, 0, 0, 3, 1, 0, 3, 4, 2, 1, 0, 0, 3, 3, 3, 0, 4, 0, 3, 4, 3, 0, 1, 3, 4, 4, 1, 4, 0, 4, 3, 2, 2, 4, 4, 4, 1, 2, 2, 2, 0, 1, 4, 3, 1, 1, 4, 2, 1, 4, 2, 0, 1, 0, 0, 2, 4, 0, 1, 1, 4, 4, 0, 1, 0, 0, 2, 3, 0, 2, 0, 3, 1, 1, 4, 1, 4, 0, 2, 4, 1, 1, 2, 0, 2, 4, 0, 2, 4, 3, 0, 3, 3, 1, 2, 3, 0, 1, 1, 1, 1, 0, 0, 2, 3, 4, 2, 1, 4, 3, 4, 1, 0, 3, 1, 3, 1, 3, 1, 1, 0, 2, 1, 4, 4, 1, 4, 2, 4, 0, 2, 1, 3, 2, 3, 0, 1, 4, 1, 4, 2, 1, 2, 1, 3, 1, 4, 2, 4, 4, 3, 3, 0, 2, 2, 0, 1, 2, 4, 0, 2, 0, 4, 0, 3, 2, 4, 0, 3, 2, 0, 0, 2, 3, 4, 0, 1, 3, 2, 1, 0, 1, 1, 2, 4, 4, 1, 3, 3, 3, 2, 3, 2, 0, 1, 0, 1, 3, 3, 4, 1, 0, 4, 2, 2, 1, 0, 0, 2, 0, 1, 1, 4, 1, 3, 4, 4, 2, 2, 2, 3, 2, 1, 0, 4, 2, 1, 4, 2, 2, 2, 0, 3, 0, 3, 4, 1, 1, 3, 1, 2, 1, 4, 3, 1, 0, 0, 4, 1, 0, 2, 4, 1, 1, 4, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 0, 0, 0, 1, 2, 2, 4, 2, 0, 2, 2, 3, 1, 1, 0, 3, 4, 4, 4, 1, 3, 3, 3, 4, 2, 3, 1, 2, 3, 2, 0, 2, 1, 2, 1, 0, 4, 4, 3, 1, 3, 1, 4, 1, 3, 4, 3, 0, 3, 0, 1, 4, 0, 0, 1, 1, 4, 4, 0, 2, 0, 0, 3, 1, 0, 4, 4] pubkeycol1137 = [4, 4, 2, 2, 2, 1, 3, 2, 4, 4, 0, 3, 2, 3, 3, 4, 0, 3, 3, 1, 2, 2, 3, 1, 0, 3, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 4, 0, 2, 2, 4, 3, 1, 4, 1, 1, 4, 4, 0, 1, 3, 1, 2, 0, 1, 1, 1, 2, 4, 3, 3, 1, 3, 0, 4, 2, 4, 4, 4, 0, 3, 1, 0, 4, 0, 2, 3, 3, 3, 2, 0, 2, 4, 0, 2, 1, 0, 1, 1, 2, 4, 1, 0, 2, 0, 3, 2, 3, 3, 4, 4, 3, 3, 1, 0, 2, 4, 2, 2, 3, 0, 2, 4, 3, 4, 1, 3, 0, 3, 3, 1, 4, 1, 1, 4, 1, 3, 2, 3, 4, 3, 1, 2, 2, 0, 3, 3, 4, 3, 2, 4, 0, 0, 1, 2, 4, 3, 0, 0, 0, 3, 2, 2, 2, 1, 1, 3, 0, 4, 1, 2, 1, 0, 2, 0, 3, 1, 0, 3, 1, 2, 4, 0, 4, 2, 3, 2, 1, 0, 1, 4, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 3, 2, 3, 3, 2, 3, 0, 2, 2, 0, 3, 2, 4, 4, 2, 2, 0, 3, 4, 3, 1, 0, 0, 3, 1, 0, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 4, 3, 0, 3, 0, 2, 3, 0, 0, 2, 3, 0, 2, 2, 4, 1, 4, 3, 1, 0, 1, 1, 0, 2, 4, 4, 0, 1, 2, 3, 4, 0, 1, 2, 0, 1, 3, 2, 3, 4, 4, 3, 4, 2, 3, 2, 2, 1, 1, 4, 0, 2, 3, 0, 4, 4, 0, 0, 2, 1, 3, 3, 0, 1, 3, 2, 4, 4, 4, 3, 3, 2, 1, 2, 3, 2, 3, 0, 3, 0, 4, 0, 1, 0, 1, 4, 2, 0, 0, 2, 4, 3, 3, 3, 1, 4, 1, 2, 3, 0, 3, 4, 2, 1, 4, 1, 4, 1, 2, 3, 4, 3, 1, 0, 0, 2, 0, 2, 2, 3, 4, 2, 0, 4, 0, 0, 3, 4, 1, 1, 3, 4, 0, 3, 2, 2, 0, 2, 2, 3, 3, 3, 2, 0, 1, 2, 2, 1, 2, 4, 1, 3, 0, 1, 3, 1, 0, 4, 3, 4, 1, 4, 1, 0, 3] pubkeycol1138 = [1, 1, 3, 4, 3, 0, 3, 4, 1, 4, 4, 0, 1, 2, 3, 3, 1, 3, 4, 3, 3, 2, 1, 0, 1, 2, 3, 2, 3, 2, 2, 1, 3, 1, 4, 2, 0, 0, 4, 3, 0, 0, 3, 1, 1, 1, 2, 0, 3, 2, 3, 1, 4, 4, 0, 3, 4, 3, 1, 3, 1, 3, 4, 4, 2, 0, 2, 2, 4, 0, 3, 2, 2, 3, 1, 0, 1, 3, 3, 0, 1, 1, 3, 4, 2, 4, 4, 0, 1, 4, 2, 2, 3, 0, 4, 0, 0, 4, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 2, 2, 3, 4, 2, 1, 1, 4, 2, 4, 3, 1, 0, 3, 0, 4, 0, 0, 0, 0, 2, 3, 0, 2, 2, 4, 0, 3, 1, 0, 3, 0, 2, 4, 4, 2, 3, 1, 0, 4, 3, 2, 3, 4, 0, 4, 2, 1, 2, 0, 1, 3, 2, 2, 2, 3, 2, 2, 1, 4, 2, 4, 1, 4, 1, 0, 2, 1, 4, 3, 0, 3, 3, 3, 4, 2, 3, 2, 3, 1, 3, 4, 0, 3, 2, 3, 4, 3, 2, 2, 3, 4, 0, 2, 2, 4, 0, 0, 0, 2, 2, 1, 1, 3, 4, 0, 1, 2, 0, 2, 2, 4, 1, 3, 0, 4, 4, 1, 4, 1, 4, 2, 3, 0, 4, 4, 3, 2, 0, 0, 4, 2, 3, 4, 0, 2, 2, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 0, 1, 4, 3, 4, 3, 0, 0, 0, 4, 0, 2, 1, 2, 4, 3, 0, 4, 2, 1, 3, 4, 0, 3, 2, 1, 4, 0, 2, 4, 0, 4, 1, 2, 1, 3, 0, 1, 0, 0, 1, 4, 2, 1, 4, 3, 4, 3, 0, 0, 3, 2, 4, 3, 0, 0, 0, 0, 4, 1, 0, 0, 2, 3, 2, 1, 2, 0, 1, 3, 3, 4, 2, 0, 1, 2, 0, 4, 4, 0, 4, 4, 4, 2, 2, 0, 1, 2, 1, 1, 0, 4, 3, 3, 0, 2, 3, 2, 1, 3, 2, 1, 1, 4, 1, 3, 1, 3, 4, 1, 4, 0, 2, 4, 4, 4, 1, 4, 2, 0, 4, 3, 3, 0, 4, 3, 2, 0, 3, 3, 4, 0, 0, 4, 0, 4, 1, 4, 2, 0, 0, 0, 1, 2, 3] pubkeycol1139 = [1, 0, 1, 0, 4, 4, 2, 3, 0, 3, 3, 0, 3, 1, 3, 0, 0, 0, 0, 4, 3, 3, 2, 2, 4, 2, 1, 1, 3, 2, 0, 1, 0, 1, 1, 2, 2, 1, 3, 4, 0, 1, 3, 1, 2, 3, 1, 4, 2, 4, 4, 4, 0, 0, 2, 0, 2, 4, 4, 0, 1, 4, 4, 1, 3, 1, 1, 4, 4, 3, 3, 3, 1, 0, 3, 0, 4, 1, 2, 3, 4, 1, 4, 2, 3, 3, 2, 1, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 3, 2, 3, 1, 4, 1, 4, 2, 4, 3, 3, 0, 0, 0, 4, 4, 4, 3, 0, 3, 0, 1, 1, 4, 3, 2, 3, 2, 1, 0, 4, 2, 4, 4, 3, 4, 1, 3, 3, 1, 2, 0, 4, 3, 4, 3, 4, 0, 2, 0, 3, 0, 4, 1, 1, 3, 3, 4, 3, 4, 1, 1, 4, 0, 1, 2, 0, 2, 4, 2, 1, 3, 0, 1, 3, 2, 0, 3, 1, 0, 2, 1, 3, 2, 0, 4, 2, 3, 4, 0, 1, 0, 0, 1, 4, 2, 0, 1, 3, 4, 4, 1, 2, 2, 4, 0, 2, 2, 1, 4, 0, 2, 1, 1, 1, 1, 0, 0, 4, 3, 0, 2, 4, 1, 3, 0, 1, 1, 1, 1, 0, 3, 0, 4, 2, 1, 1, 0, 2, 0, 4, 0, 1, 4, 4, 0, 4, 3, 1, 3, 4, 0, 3, 3, 1, 4, 0, 1, 1, 2, 2, 4, 2, 4, 2, 3, 0, 2, 4, 3, 0, 4, 4, 3, 3, 1, 0, 3, 1, 4, 3, 4, 2, 2, 0, 0, 1, 3, 0, 2, 3, 0, 3, 2, 3, 2, 3, 4, 1, 1, 3, 1, 4, 3, 0, 3, 3, 3, 2, 3, 4, 4, 4, 1, 1, 4, 4, 4, 2, 4, 2, 2, 0, 1, 4, 0, 3, 4, 4, 4, 2, 3, 3, 3, 0, 4, 3, 0, 4, 1, 2, 3, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 3, 3, 0, 4, 0, 4, 0, 1, 2, 2, 3, 2, 4, 2, 2, 3, 3, 1, 1, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 0, 4, 2, 1, 1, 3, 0, 0, 1, 0, 0, 2, 4] pubkeycol1140 = [2, 1, 2, 0, 1, 3, 1, 0, 2, 1, 2, 1, 3, 3, 2, 4, 0, 3, 0, 0, 0, 0, 1, 3, 3, 1, 0, 4, 1, 4, 1, 0, 1, 3, 3, 3, 4, 4, 3, 3, 3, 2, 4, 1, 2, 1, 4, 4, 0, 1, 2, 0, 1, 3, 3, 2, 1, 2, 3, 0, 0, 2, 0, 3, 3, 3, 2, 1, 4, 3, 2, 1, 0, 1, 1, 4, 1, 3, 1, 3, 2, 2, 0, 2, 3, 2, 4, 3, 1, 4, 1, 4, 1, 0, 0, 4, 4, 2, 0, 4, 0, 4, 2, 3, 4, 4, 2, 1, 3, 0, 2, 4, 3, 0, 2, 4, 4, 1, 3, 2, 1, 2, 0, 4, 3, 2, 1, 1, 3, 2, 1, 4, 2, 0, 1, 1, 2, 3, 3, 4, 1, 1, 1, 4, 1, 1, 0, 2, 4, 1, 3, 0, 1, 1, 0, 0, 0, 4, 1, 0, 4, 0, 2, 2, 2, 3, 0, 4, 2, 0, 2, 4, 1, 0, 3, 1, 3, 0, 3, 0, 1, 2, 1, 4, 2, 4, 1, 1, 1, 1, 1, 3, 4, 2, 1, 1, 0, 2, 2, 1, 2, 3, 1, 3, 0, 1, 2, 4, 1, 4, 3, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 4, 1, 1, 3, 4, 1, 3, 4, 4, 2, 4, 3, 3, 2, 2, 1, 3, 0, 3, 3, 1, 1, 1, 3, 3, 4, 3, 2, 1, 3, 3, 2, 1, 0, 3, 2, 3, 1, 1, 2, 3, 1, 1, 2, 2, 4, 2, 1, 1, 0, 1, 3, 4, 0, 3, 0, 0, 0, 2, 2, 4, 1, 4, 3, 4, 1, 2, 3, 2, 0, 3, 1, 1, 2, 1, 2, 3, 4, 0, 3, 1, 0, 4, 1, 0, 0, 3, 4, 0, 2, 3, 4, 3, 0, 2, 4, 0, 0, 1, 0, 2, 1, 4, 4, 4, 1, 1, 4, 0, 3, 2, 1, 4, 4, 0, 0, 3, 0, 2, 4, 1, 1, 3, 2, 4, 1, 0, 2, 3, 3, 3, 0, 3, 1, 4, 3, 2, 1, 0, 1, 3, 4, 4, 1, 4, 0, 3, 0, 1, 1, 3, 1, 1, 1, 0, 3, 4, 2, 4, 2, 3, 2, 1, 1, 1, 3, 0, 3, 2, 0, 0, 0, 0, 1, 2, 1, 2, 4, 3] pubkeycol1141 = [0, 4, 3, 2, 2, 4, 4, 1, 4, 3, 1, 4, 1, 2, 2, 3, 1, 0, 2, 0, 0, 0, 2, 2, 0, 4, 2, 2, 4, 3, 4, 2, 1, 3, 0, 4, 3, 1, 0, 0, 0, 1, 4, 0, 3, 1, 2, 0, 2, 3, 3, 3, 0, 2, 0, 4, 1, 1, 0, 4, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 2, 3, 4, 3, 1, 1, 0, 0, 1, 4, 0, 0, 2, 3, 2, 1, 4, 2, 1, 2, 4, 4, 3, 4, 4, 3, 3, 1, 1, 4, 4, 1, 4, 2, 3, 1, 0, 4, 3, 0, 4, 4, 2, 2, 4, 0, 1, 2, 3, 4, 4, 1, 4, 0, 4, 0, 3, 4, 4, 3, 3, 4, 4, 2, 4, 1, 1, 3, 1, 3, 1, 2, 4, 1, 4, 0, 3, 0, 0, 1, 3, 0, 4, 1, 0, 3, 2, 1, 4, 1, 2, 0, 1, 3, 3, 0, 4, 0, 1, 3, 4, 1, 2, 1, 2, 0, 3, 4, 1, 4, 3, 2, 2, 3, 2, 1, 3, 2, 2, 1, 4, 4, 4, 1, 4, 3, 3, 4, 1, 1, 1, 4, 1, 1, 3, 2, 1, 2, 3, 0, 2, 2, 1, 4, 3, 2, 3, 0, 4, 0, 0, 0, 1, 3, 3, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 4, 2, 3, 4, 0, 0, 2, 3, 2, 4, 1, 0, 3, 0, 3, 1, 3, 1, 1, 4, 1, 4, 0, 2, 0, 1, 0, 0, 2, 0, 1, 4, 1, 2, 0, 2, 3, 2, 1, 3, 0, 3, 2, 1, 1, 3, 2, 3, 0, 3, 2, 3, 4, 4, 3, 2, 0, 4, 4, 0, 4, 2, 1, 1, 4, 2, 4, 4, 3, 3, 0, 4, 2, 0, 2, 1, 1, 1, 1, 1, 3, 4, 4, 3, 0, 1, 1, 0, 2, 3, 0, 2, 0, 4, 0, 1, 3, 2, 4, 3, 4, 4, 2, 1, 4, 4, 1, 3, 2, 0, 1, 4, 1, 2, 0, 3, 2, 2, 4, 4, 2, 2, 3, 4, 2, 0, 3, 1, 3, 4, 0, 4, 1, 4, 2, 1, 1, 0, 0, 4, 2, 0, 2, 2, 3, 3, 3, 4, 1, 1, 2, 0, 3, 1, 4, 2, 1, 2, 2, 0, 1, 3, 0] pubkeycol1142 = [0, 4, 2, 2, 0, 3, 3, 4, 4, 0, 3, 4, 3, 1, 4, 2, 4, 1, 3, 3, 2, 0, 0, 2, 2, 1, 3, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 4, 3, 0, 2, 0, 0, 2, 4, 4, 2, 2, 2, 1, 3, 3, 4, 0, 1, 0, 4, 1, 3, 1, 0, 0, 4, 4, 4, 1, 0, 0, 0, 1, 2, 3, 2, 4, 2, 4, 2, 3, 1, 2, 0, 0, 0, 4, 2, 1, 4, 3, 0, 4, 4, 3, 2, 1, 4, 3, 4, 0, 0, 2, 1, 2, 2, 1, 2, 0, 3, 0, 2, 3, 1, 0, 2, 0, 0, 1, 2, 4, 2, 3, 0, 1, 0, 3, 2, 0, 3, 0, 2, 3, 4, 2, 3, 4, 0, 0, 4, 3, 2, 2, 2, 0, 3, 0, 4, 4, 0, 3, 4, 3, 1, 3, 1, 3, 4, 0, 1, 4, 4, 4, 0, 2, 2, 0, 4, 3, 1, 4, 1, 4, 4, 3, 4, 4, 0, 0, 1, 2, 3, 4, 2, 2, 0, 1, 3, 1, 0, 3, 2, 0, 4, 0, 0, 2, 1, 3, 3, 4, 4, 0, 3, 4, 0, 3, 1, 2, 0, 4, 3, 4, 0, 2, 4, 1, 3, 2, 1, 1, 1, 4, 4, 1, 4, 0, 2, 3, 0, 0, 0, 0, 1, 4, 0, 3, 2, 2, 2, 2, 0, 1, 3, 1, 3, 1, 3, 0, 1, 3, 3, 1, 3, 4, 0, 0, 2, 3, 1, 1, 3, 1, 0, 2, 0, 2, 2, 1, 1, 4, 0, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 3, 1, 3, 0, 2, 3, 1, 0, 0, 2, 3, 3, 2, 3, 1, 4, 4, 0, 3, 0, 4, 4, 3, 2, 3, 1, 0, 1, 3, 2, 4, 2, 4, 3, 2, 2, 1, 0, 2, 4, 3, 2, 3, 4, 1, 4, 3, 3, 2, 3, 1, 4, 3, 1, 3, 2, 1, 3, 4, 2, 3, 4, 1, 3, 4, 2, 4, 1, 1, 3, 1, 0, 1, 4, 2, 2, 4, 2, 1, 2, 4, 0, 1, 0, 0, 4, 0, 2, 1, 4, 3, 2, 2, 3, 2, 3, 4, 1, 4, 1, 3, 0, 3, 1, 1, 4, 1, 2, 1, 3, 4, 4] pubkeycol1143 = [4, 4, 0, 1, 4, 0, 4, 1, 2, 2, 2, 3, 4, 3, 2, 4, 4, 3, 4, 3, 2, 4, 3, 3, 3, 1, 2, 1, 1, 2, 2, 1, 4, 3, 1, 1, 0, 3, 2, 1, 1, 0, 1, 1, 2, 4, 1, 2, 1, 3, 1, 2, 1, 3, 2, 1, 4, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 4, 1, 2, 2, 1, 1, 4, 1, 0, 1, 1, 0, 0, 3, 4, 2, 2, 3, 2, 0, 0, 3, 0, 0, 3, 0, 0, 4, 1, 1, 4, 1, 3, 3, 1, 0, 0, 3, 4, 4, 3, 0, 2, 3, 4, 2, 0, 1, 3, 3, 2, 4, 0, 0, 4, 1, 3, 3, 0, 3, 3, 4, 4, 2, 2, 0, 0, 3, 3, 3, 4, 2, 0, 3, 2, 1, 4, 0, 1, 3, 2, 4, 3, 0, 1, 1, 1, 1, 3, 3, 4, 0, 4, 3, 2, 2, 4, 0, 2, 2, 3, 1, 3, 2, 2, 2, 3, 0, 2, 2, 2, 2, 3, 1, 1, 0, 1, 0, 0, 2, 4, 2, 2, 0, 0, 1, 2, 1, 3, 1, 2, 0, 0, 1, 0, 0, 1, 4, 4, 1, 4, 3, 3, 0, 0, 0, 4, 0, 4, 3, 3, 3, 1, 4, 1, 3, 0, 1, 2, 3, 2, 4, 4, 1, 3, 0, 0, 0, 2, 2, 3, 0, 0, 2, 0, 2, 0, 0, 4, 2, 1, 4, 0, 3, 0, 1, 0, 4, 3, 3, 1, 2, 1, 4, 4, 2, 4, 3, 0, 0, 2, 2, 3, 1, 2, 1, 3, 0, 0, 2, 2, 4, 0, 3, 1, 0, 0, 1, 0, 4, 0, 0, 2, 2, 3, 0, 4, 0, 2, 2, 4, 4, 2, 4, 3, 3, 3, 0, 1, 0, 2, 2, 3, 3, 0, 2, 1, 2, 2, 4, 3, 3, 4, 0, 0, 3, 0, 4, 3, 0, 2, 1, 3, 4, 2, 3, 1, 3, 3, 3, 1, 2, 4, 0, 2, 4, 3, 1, 3, 4, 2, 0, 3, 2, 4, 1, 0, 0, 4, 2, 2, 0, 1, 4, 2, 1, 3, 1, 4, 1, 1, 3, 2, 0, 3, 3, 1, 1, 2, 3, 2, 1, 0, 3, 2, 4, 0, 2, 4, 2, 1, 1, 2, 4, 1, 3, 3, 0, 2, 0, 3, 4] pubkeycol1144 = [0, 1, 1, 2, 4, 2, 1, 0, 3, 2, 3, 3, 3, 2, 3, 2, 2, 4, 3, 0, 0, 2, 3, 1, 2, 0, 3, 1, 4, 2, 0, 1, 0, 3, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 0, 0, 3, 3, 4, 4, 3, 1, 1, 2, 0, 1, 3, 0, 1, 2, 3, 4, 1, 3, 4, 2, 3, 0, 1, 1, 2, 0, 4, 1, 1, 1, 1, 4, 4, 4, 2, 1, 0, 4, 0, 0, 3, 3, 0, 4, 2, 3, 4, 4, 4, 0, 2, 3, 1, 2, 3, 2, 3, 0, 1, 4, 4, 4, 2, 3, 2, 4, 0, 1, 3, 4, 0, 1, 0, 3, 2, 1, 1, 2, 2, 3, 0, 4, 1, 3, 4, 1, 2, 2, 4, 2, 1, 2, 0, 2, 4, 0, 4, 1, 1, 0, 2, 0, 4, 1, 0, 1, 3, 2, 0, 3, 4, 3, 4, 0, 2, 1, 3, 3, 2, 0, 0, 1, 4, 3, 2, 0, 3, 2, 4, 4, 4, 1, 4, 2, 0, 4, 3, 3, 0, 3, 0, 2, 0, 0, 3, 4, 3, 2, 0, 0, 1, 3, 2, 2, 1, 0, 3, 0, 3, 0, 3, 1, 4, 1, 1, 0, 1, 1, 3, 0, 0, 3, 2, 0, 2, 0, 2, 3, 2, 2, 0, 4, 1, 2, 1, 2, 4, 3, 1, 2, 4, 2, 3, 2, 2, 1, 2, 3, 4, 0, 0, 4, 0, 2, 2, 4, 3, 0, 2, 3, 4, 0, 1, 0, 0, 0, 3, 0, 2, 0, 0, 2, 1, 0, 4, 0, 0, 4, 2, 1, 3, 2, 3, 2, 0, 2, 4, 2, 4, 4, 1, 0, 4, 2, 3, 0, 1, 3, 2, 0, 4, 0, 3, 0, 3, 3, 3, 4, 0, 4, 1, 0, 1, 3, 2, 3, 4, 1, 2, 1, 1, 4, 3, 4, 3, 4, 2, 2, 1, 4, 3, 2, 4, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 3, 1, 1, 0, 0, 0, 1, 1, 1, 4, 3, 1, 1, 1, 3, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 4, 0, 1, 3, 4, 3, 4, 4, 0, 2, 0, 1, 1, 3, 0, 0, 2, 3, 4, 4, 3, 3, 2, 3, 0, 2, 1, 4, 3, 4, 1, 3, 3, 0, 4] pubkeycol1145 = [0, 4, 2, 3, 0, 0, 2, 2, 0, 3, 0, 2, 1, 3, 2, 4, 1, 3, 3, 0, 4, 3, 2, 2, 3, 3, 2, 1, 1, 0, 2, 3, 1, 2, 2, 2, 3, 1, 3, 3, 2, 4, 2, 4, 4, 2, 2, 1, 1, 3, 3, 4, 0, 4, 3, 2, 3, 1, 4, 1, 2, 0, 0, 2, 3, 2, 0, 0, 1, 4, 2, 3, 2, 4, 4, 4, 2, 4, 1, 4, 2, 4, 3, 1, 4, 2, 3, 2, 3, 1, 0, 2, 2, 1, 0, 0, 4, 1, 0, 2, 0, 3, 2, 2, 1, 2, 4, 4, 4, 4, 4, 4, 2, 4, 0, 0, 3, 2, 1, 3, 1, 0, 1, 3, 3, 3, 1, 1, 0, 0, 2, 0, 3, 2, 2, 3, 2, 3, 3, 1, 1, 3, 0, 4, 0, 4, 2, 4, 3, 0, 4, 1, 2, 4, 0, 2, 0, 3, 0, 1, 1, 4, 4, 4, 3, 1, 0, 3, 4, 3, 4, 4, 0, 0, 2, 4, 3, 1, 1, 4, 3, 0, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 1, 0, 2, 2, 4, 1, 3, 0, 0, 0, 4, 2, 4, 3, 1, 0, 3, 0, 3, 0, 4, 4, 2, 4, 0, 4, 2, 4, 1, 4, 3, 3, 3, 1, 4, 0, 1, 4, 2, 1, 2, 3, 4, 0, 3, 2, 0, 2, 0, 0, 3, 3, 2, 0, 3, 4, 4, 3, 4, 0, 2, 0, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 3, 1, 4, 0, 0, 4, 1, 4, 4, 4, 0, 4, 4, 0, 2, 1, 1, 3, 2, 4, 2, 3, 2, 3, 4, 3, 2, 2, 3, 1, 4, 1, 1, 2, 4, 1, 1, 4, 1, 3, 0, 0, 3, 4, 1, 4, 1, 0, 3, 3, 3, 3, 2, 4, 2, 4, 4, 2, 1, 0, 0, 2, 1, 2, 1, 2, 4, 4, 1, 0, 3, 0, 0, 0, 3, 2, 4, 0, 3, 1, 4, 2, 3, 4, 1, 3, 1, 0, 2, 3, 4, 2, 3, 3, 4, 1, 4, 0, 3, 2, 3, 1, 4, 0, 2, 2, 1, 1, 4, 1, 4, 2, 3, 1, 1, 3, 4, 4, 1, 4, 3, 1, 1, 1, 4, 2, 0, 4, 1, 4, 1, 2, 2, 3, 2, 0] pubkeycol1146 = [0, 3, 0, 2, 3, 1, 4, 1, 3, 2, 4, 0, 4, 3, 4, 0, 2, 3, 2, 3, 0, 4, 3, 3, 4, 4, 4, 3, 0, 3, 4, 4, 1, 1, 0, 4, 3, 1, 4, 4, 1, 3, 2, 1, 1, 1, 4, 0, 3, 3, 4, 3, 1, 4, 2, 1, 2, 0, 0, 3, 0, 1, 2, 1, 3, 2, 4, 3, 1, 2, 1, 3, 4, 3, 1, 4, 0, 0, 1, 2, 3, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 4, 0, 0, 1, 0, 2, 2, 4, 2, 3, 3, 4, 4, 2, 3, 4, 0, 0, 3, 0, 1, 1, 1, 4, 3, 4, 2, 4, 1, 2, 3, 0, 0, 3, 1, 3, 0, 0, 2, 2, 3, 4, 4, 0, 3, 3, 0, 1, 0, 0, 2, 3, 3, 2, 4, 3, 3, 3, 1, 3, 3, 3, 4, 4, 3, 2, 0, 0, 2, 2, 4, 3, 3, 1, 4, 4, 3, 3, 0, 1, 1, 2, 1, 4, 2, 3, 0, 3, 1, 2, 1, 2, 0, 2, 2, 2, 4, 3, 0, 1, 3, 4, 1, 0, 3, 0, 3, 3, 2, 0, 0, 4, 0, 4, 1, 1, 1, 4, 1, 1, 0, 2, 0, 0, 0, 2, 0, 4, 1, 2, 4, 3, 4, 0, 1, 4, 0, 4, 4, 2, 0, 2, 1, 3, 3, 0, 1, 1, 0, 0, 0, 3, 3, 1, 1, 1, 1, 4, 0, 0, 2, 2, 1, 3, 2, 1, 4, 1, 4, 4, 4, 3, 3, 1, 2, 3, 1, 1, 4, 2, 2, 2, 2, 0, 1, 3, 2, 0, 1, 0, 0, 4, 4, 0, 3, 2, 4, 3, 3, 3, 4, 4, 1, 3, 4, 3, 0, 4, 4, 1, 4, 0, 0, 2, 1, 4, 3, 0, 4, 4, 4, 4, 2, 2, 3, 1, 0, 0, 4, 3, 2, 0, 4, 2, 2, 4, 2, 1, 1, 4, 2, 4, 4, 1, 1, 1, 1, 0, 0, 3, 3, 1, 2, 3, 0, 1, 0, 1, 4, 3, 3, 3, 3, 4, 0, 0, 1, 1, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 2, 3, 2, 2, 0, 2, 4, 1, 1, 0, 0, 3, 3, 3, 3, 2, 1, 4, 2, 4, 0, 2, 4, 1, 4, 3, 3, 1] pubkeycol1147 = [1, 3, 0, 4, 3, 0, 2, 0, 1, 4, 1, 2, 2, 1, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 3, 1, 1, 4, 3, 2, 3, 0, 1, 2, 2, 0, 4, 2, 0, 4, 1, 4, 1, 3, 4, 2, 2, 2, 2, 2, 2, 0, 2, 4, 0, 3, 2, 2, 4, 3, 1, 0, 3, 3, 3, 0, 1, 0, 3, 0, 2, 2, 0, 2, 4, 2, 4, 3, 4, 1, 3, 2, 3, 1, 2, 4, 0, 1, 0, 0, 1, 2, 4, 0, 1, 1, 1, 0, 2, 0, 1, 4, 1, 4, 4, 2, 4, 2, 3, 0, 0, 0, 2, 2, 4, 0, 1, 0, 3, 4, 4, 1, 3, 2, 1, 0, 3, 2, 2, 0, 4, 2, 2, 3, 4, 4, 1, 1, 0, 3, 4, 4, 2, 1, 1, 3, 0, 2, 3, 4, 0, 4, 0, 3, 1, 4, 1, 0, 3, 2, 0, 1, 4, 0, 0, 4, 3, 4, 0, 0, 3, 1, 1, 1, 4, 3, 3, 3, 0, 1, 3, 0, 3, 2, 4, 4, 1, 4, 4, 1, 1, 2, 2, 1, 0, 0, 3, 2, 3, 3, 2, 4, 0, 2, 3, 4, 1, 2, 4, 3, 0, 3, 2, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 0, 3, 2, 3, 4, 1, 1, 2, 4, 0, 0, 1, 0, 4, 1, 2, 1, 0, 3, 0, 4, 1, 0, 3, 0, 1, 4, 3, 3, 3, 4, 4, 0, 3, 3, 4, 1, 3, 0, 4, 4, 3, 4, 3, 3, 2, 0, 1, 3, 1, 3, 1, 1, 0, 4, 2, 0, 4, 3, 3, 2, 4, 4, 1, 2, 4, 0, 4, 2, 1, 2, 3, 4, 1, 2, 3, 1, 1, 3, 0, 2, 1, 3, 1, 2, 0, 4, 1, 0, 0, 0, 3, 1, 4, 2, 0, 0, 3, 3, 4, 2, 1, 3, 4, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 3, 4, 2, 4, 2, 1, 2, 4, 0, 3, 4, 0, 4, 0, 0, 0, 4, 2, 1, 2, 4, 0, 0, 3, 1, 0, 4, 4, 4, 2, 1, 0, 2, 1, 3, 2, 1, 2, 0, 3, 1, 4, 2, 0, 2, 3, 3, 2, 3, 2, 1, 4, 2, 1, 1, 2, 0, 0, 4, 3, 2] pubkeycol1148 = [3, 0, 0, 0, 4, 1, 4, 3, 1, 1, 0, 4, 3, 1, 3, 4, 3, 4, 1, 1, 4, 4, 3, 2, 2, 2, 4, 2, 2, 1, 2, 2, 3, 3, 4, 2, 4, 1, 4, 0, 0, 1, 2, 0, 1, 3, 4, 2, 3, 1, 4, 0, 4, 0, 2, 4, 2, 1, 1, 2, 1, 4, 1, 0, 4, 3, 1, 2, 0, 1, 2, 3, 1, 3, 2, 4, 4, 4, 1, 2, 0, 4, 1, 1, 4, 4, 1, 2, 2, 0, 4, 1, 1, 2, 4, 1, 4, 2, 2, 2, 0, 3, 0, 3, 0, 0, 4, 3, 3, 4, 4, 1, 0, 0, 3, 3, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 1, 4, 1, 1, 2, 1, 2, 2, 4, 1, 0, 2, 1, 3, 0, 3, 1, 2, 4, 1, 0, 1, 0, 3, 3, 3, 3, 0, 1, 1, 3, 4, 4, 0, 2, 3, 3, 3, 4, 1, 0, 0, 1, 3, 3, 4, 0, 1, 0, 3, 1, 1, 3, 1, 4, 4, 2, 4, 0, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 3, 2, 0, 1, 2, 1, 0, 2, 3, 3, 4, 2, 4, 0, 3, 1, 3, 1, 4, 4, 4, 4, 2, 3, 1, 1, 1, 3, 2, 4, 2, 4, 4, 0, 1, 4, 1, 1, 2, 0, 4, 3, 1, 2, 3, 1, 0, 1, 0, 4, 1, 4, 0, 3, 1, 0, 0, 0, 0, 2, 4, 3, 3, 1, 4, 3, 3, 2, 2, 0, 3, 4, 2, 3, 2, 3, 0, 2, 3, 0, 1, 0, 0, 2, 1, 3, 0, 2, 4, 4, 3, 4, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 3, 2, 3, 3, 3, 1, 1, 4, 3, 0, 2, 2, 4, 1, 3, 0, 2, 2, 1, 1, 1, 2, 2, 4, 2, 0, 0, 4, 4, 0, 2, 2, 4, 4, 2, 3, 4, 3, 2, 0, 1, 2, 3, 4, 3, 0, 3, 3, 1, 2, 0, 2, 4, 4, 2, 1, 2, 2, 3, 1, 0, 0, 4, 1, 1, 0, 0, 2, 0, 1, 1, 2, 4, 1, 3, 1, 2, 0, 2, 2, 2, 0, 4, 2, 4, 4, 4, 3, 3, 2, 2, 2, 2, 4, 2, 0] pubkeycol1149 = [2, 1, 3, 3, 3, 2, 3, 2, 2, 0, 3, 1, 2, 3, 2, 2, 4, 2, 0, 0, 3, 4, 3, 1, 0, 2, 3, 1, 1, 4, 0, 0, 4, 0, 3, 1, 2, 1, 2, 3, 2, 0, 3, 3, 1, 3, 0, 4, 1, 1, 4, 3, 2, 3, 1, 1, 4, 1, 2, 3, 2, 1, 0, 4, 2, 0, 2, 1, 0, 1, 4, 1, 1, 1, 2, 0, 4, 3, 2, 1, 0, 2, 4, 0, 2, 0, 4, 0, 1, 3, 0, 3, 0, 4, 1, 3, 4, 0, 2, 0, 4, 4, 0, 3, 0, 4, 1, 0, 1, 1, 2, 2, 2, 0, 4, 4, 3, 3, 0, 1, 3, 2, 2, 3, 3, 4, 3, 0, 1, 0, 3, 1, 0, 3, 0, 0, 1, 4, 2, 1, 1, 2, 2, 1, 2, 3, 2, 1, 1, 0, 3, 4, 1, 2, 0, 1, 1, 3, 4, 3, 2, 3, 2, 4, 0, 2, 4, 0, 0, 2, 4, 4, 1, 0, 3, 1, 0, 4, 3, 2, 3, 2, 4, 3, 0, 3, 3, 3, 2, 1, 4, 1, 3, 3, 3, 2, 0, 3, 2, 0, 0, 4, 1, 0, 1, 2, 3, 2, 3, 0, 0, 4, 3, 4, 1, 1, 2, 3, 4, 4, 1, 1, 0, 3, 0, 4, 1, 3, 3, 4, 0, 3, 0, 4, 4, 4, 0, 1, 4, 0, 2, 1, 4, 2, 2, 2, 4, 4, 4, 2, 2, 1, 0, 1, 0, 3, 3, 1, 4, 1, 4, 3, 3, 4, 4, 2, 0, 0, 4, 4, 0, 3, 1, 1, 1, 3, 4, 4, 3, 1, 3, 3, 0, 1, 4, 2, 1, 1, 4, 2, 4, 1, 1, 4, 4, 1, 2, 1, 0, 4, 0, 4, 1, 3, 2, 0, 4, 2, 0, 3, 2, 1, 4, 2, 3, 2, 0, 0, 4, 2, 1, 0, 0, 0, 1, 1, 4, 2, 1, 4, 1, 2, 0, 3, 0, 0, 1, 2, 3, 4, 1, 0, 0, 3, 3, 3, 2, 1, 1, 0, 1, 1, 4, 2, 4, 3, 4, 4, 2, 2, 4, 0, 0, 2, 0, 0, 4, 1, 0, 1, 1, 0, 2, 4, 3, 2, 0, 3, 2, 2, 1, 0, 1, 3, 3, 1, 3, 1, 2, 1, 4, 4, 1, 0, 2, 1, 4, 4, 3, 4] pubkeycol1150 = [3, 3, 3, 0, 2, 0, 1, 1, 0, 4, 2, 1, 3, 1, 1, 0, 3, 1, 1, 1, 3, 3, 0, 4, 1, 1, 4, 2, 4, 2, 1, 0, 1, 0, 2, 4, 1, 4, 4, 0, 3, 2, 1, 0, 1, 4, 3, 4, 3, 3, 2, 0, 3, 1, 0, 0, 1, 4, 1, 0, 2, 1, 0, 2, 4, 3, 3, 1, 0, 4, 3, 4, 4, 2, 1, 1, 1, 3, 0, 2, 0, 4, 2, 1, 3, 0, 3, 3, 1, 2, 4, 0, 3, 3, 1, 4, 0, 0, 2, 3, 1, 2, 4, 2, 3, 1, 1, 0, 1, 3, 2, 0, 3, 3, 0, 0, 2, 4, 0, 3, 3, 3, 3, 2, 3, 2, 0, 1, 3, 2, 1, 2, 0, 4, 1, 2, 1, 4, 4, 0, 2, 3, 0, 0, 3, 4, 3, 3, 4, 3, 3, 0, 3, 0, 0, 3, 2, 2, 1, 1, 2, 1, 1, 3, 0, 4, 4, 4, 2, 2, 4, 4, 3, 3, 1, 3, 0, 2, 1, 0, 2, 2, 4, 2, 4, 2, 2, 4, 0, 1, 4, 1, 4, 2, 3, 4, 2, 2, 3, 2, 4, 3, 3, 0, 4, 0, 2, 3, 3, 2, 2, 1, 3, 2, 4, 0, 1, 3, 1, 2, 4, 3, 1, 0, 3, 1, 1, 2, 2, 0, 3, 4, 0, 3, 1, 2, 4, 2, 3, 0, 2, 4, 3, 1, 1, 0, 1, 2, 3, 1, 4, 0, 0, 3, 0, 4, 3, 1, 4, 1, 1, 2, 4, 4, 2, 3, 4, 2, 2, 0, 4, 2, 4, 2, 3, 4, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 4, 1, 2, 2, 0, 4, 3, 3, 1, 3, 4, 0, 3, 2, 1, 4, 3, 1, 4, 0, 4, 3, 3, 2, 3, 0, 4, 2, 0, 1, 3, 3, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 3, 1, 4, 3, 2, 0, 3, 1, 3, 2, 2, 2, 1, 1, 4, 3, 1, 3, 4, 3, 2, 3, 0, 0, 2, 4, 2, 1, 4, 2, 4, 2, 1, 1, 4, 2, 4, 3, 1, 4, 4, 0, 4, 0, 0, 4, 3, 3, 4, 4, 4, 2, 2, 0, 3, 0, 3, 2, 3, 0, 2, 2, 3, 0, 0, 1, 0, 0, 2] pubkeycol1151 = [0, 1, 3, 0, 0, 0, 2, 0, 2, 3, 3, 0, 4, 1, 2, 2, 1, 2, 3, 2, 1, 0, 2, 3, 2, 2, 4, 0, 1, 0, 4, 1, 0, 1, 2, 3, 2, 1, 2, 4, 1, 4, 1, 3, 2, 2, 2, 4, 1, 4, 2, 3, 1, 4, 4, 2, 1, 3, 4, 1, 2, 4, 0, 4, 4, 3, 3, 4, 4, 1, 4, 0, 1, 4, 1, 1, 1, 0, 2, 1, 4, 4, 1, 1, 1, 3, 1, 3, 0, 0, 1, 0, 4, 2, 2, 2, 1, 2, 3, 3, 3, 0, 3, 1, 2, 4, 1, 2, 2, 0, 0, 4, 1, 2, 3, 1, 3, 1, 1, 3, 2, 2, 1, 3, 3, 2, 2, 1, 1, 3, 1, 3, 4, 1, 1, 4, 1, 3, 1, 2, 2, 0, 3, 3, 3, 0, 0, 0, 2, 4, 4, 0, 4, 2, 2, 3, 3, 0, 4, 2, 4, 4, 1, 3, 4, 3, 0, 3, 0, 1, 3, 3, 4, 0, 0, 1, 2, 3, 0, 3, 4, 1, 2, 2, 0, 1, 4, 0, 4, 1, 2, 4, 1, 3, 2, 0, 4, 3, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 3, 1, 3, 3, 3, 1, 0, 3, 2, 4, 3, 0, 2, 4, 1, 3, 2, 1, 4, 0, 0, 4, 4, 4, 1, 2, 4, 1, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 2, 0, 4, 4, 4, 3, 2, 3, 1, 0, 3, 0, 4, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 3, 1, 3, 4, 2, 0, 3, 4, 2, 2, 1, 2, 3, 4, 1, 4, 1, 4, 3, 2, 0, 4, 0, 1, 2, 4, 3, 2, 4, 0, 2, 1, 0, 2, 0, 1, 2, 4, 2, 3, 1, 3, 0, 2, 3, 1, 0, 3, 0, 2, 4, 3, 2, 0, 0, 0, 1, 1, 3, 3, 4, 3, 2, 1, 0, 2, 0, 2, 1, 3, 0, 2, 2, 0, 4, 3, 0, 3, 3, 2, 3, 2, 0, 3, 4, 4, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 3, 4, 2, 2, 3, 4, 3, 2, 0, 2, 0, 0, 0, 1, 1, 3, 0, 0, 0, 2, 2, 3, 1] pubkeycol1152 = [3, 0, 0, 4, 0, 2, 3, 0, 1, 3, 2, 1, 2, 3, 3, 0, 1, 0, 3, 2, 0, 3, 1, 2, 1, 3, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 4, 3, 1, 3, 2, 0, 1, 1, 3, 0, 0, 2, 3, 4, 0, 1, 0, 3, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 3, 3, 3, 3, 3, 1, 1, 0, 1, 0, 0, 4, 2, 2, 2, 0, 2, 4, 0, 1, 0, 1, 0, 4, 3, 2, 2, 1, 2, 1, 2, 4, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 4, 4, 2, 2, 4, 1, 2, 0, 2, 4, 3, 4, 4, 1, 2, 3, 2, 4, 4, 4, 0, 2, 4, 4, 4, 2, 1, 3, 3, 4, 3, 3, 0, 0, 4, 4, 0, 1, 4, 4, 3, 4, 1, 1, 0, 3, 2, 4, 3, 1, 1, 0, 2, 4, 3, 2, 3, 3, 4, 1, 3, 0, 1, 4, 3, 2, 3, 3, 3, 4, 1, 3, 0, 0, 0, 0, 3, 4, 3, 2, 4, 3, 1, 1, 0, 3, 4, 4, 2, 2, 4, 4, 1, 0, 2, 3, 0, 2, 3, 3, 4, 1, 4, 0, 4, 4, 3, 0, 3, 4, 3, 1, 2, 0, 1, 1, 3, 0, 0, 0, 2, 2, 4, 1, 4, 2, 1, 0, 1, 4, 2, 2, 0, 3, 0, 1, 2, 4, 1, 1, 1, 4, 3, 4, 0, 0, 0, 2, 1, 2, 1, 1, 3, 0, 2, 1, 1, 2, 3, 1, 0, 1, 2, 3, 2, 4, 2, 4, 0, 0, 4, 3, 3, 3, 1, 0, 3, 1, 2, 1, 0, 0, 1, 1, 3, 4, 1, 0, 2, 1, 1, 4, 2, 2, 4, 3, 2, 0, 2, 3, 4, 3, 4, 1, 1, 1, 4, 0, 4, 1, 4, 1, 4, 3, 2, 1, 0, 0, 1, 1, 2, 4, 3, 1, 0, 3, 4, 1, 3, 0, 4, 2, 0, 0, 4, 2, 3, 2, 4, 1, 4, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 3, 4, 0, 3, 1, 3, 1, 4, 2, 3, 2, 0, 4, 1, 2, 3, 4, 3, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 3, 1, 3, 2, 0, 4, 3, 2] pubkeycol1153 = [1, 2, 3, 3, 0, 1, 4, 4, 0, 2, 3, 4, 2, 3, 4, 1, 3, 3, 2, 4, 1, 3, 0, 3, 3, 4, 0, 0, 4, 1, 3, 4, 2, 0, 0, 2, 4, 4, 2, 0, 2, 0, 0, 2, 1, 4, 2, 1, 3, 1, 4, 0, 0, 1, 3, 4, 3, 1, 1, 1, 4, 3, 4, 3, 0, 3, 3, 3, 4, 0, 2, 3, 1, 2, 3, 2, 1, 3, 3, 4, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 3, 0, 4, 1, 1, 3, 1, 0, 2, 1, 4, 2, 3, 2, 1, 3, 1, 2, 2, 2, 3, 1, 0, 3, 0, 3, 0, 0, 2, 4, 4, 1, 0, 2, 3, 0, 1, 2, 4, 0, 4, 0, 2, 3, 0, 2, 0, 4, 0, 4, 2, 0, 3, 3, 3, 3, 1, 2, 4, 1, 3, 3, 0, 2, 4, 1, 3, 2, 0, 0, 0, 2, 3, 1, 4, 4, 0, 4, 4, 4, 0, 4, 0, 3, 3, 2, 4, 0, 0, 2, 1, 2, 1, 1, 4, 4, 4, 3, 4, 0, 1, 1, 4, 0, 4, 2, 2, 3, 1, 4, 3, 1, 2, 4, 1, 4, 0, 3, 4, 0, 3, 3, 0, 0, 3, 3, 1, 0, 0, 2, 2, 0, 0, 0, 3, 0, 2, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 2, 2, 1, 4, 2, 4, 3, 4, 3, 2, 1, 4, 1, 4, 0, 3, 2, 3, 3, 4, 2, 3, 3, 3, 2, 4, 0, 3, 4, 3, 1, 1, 0, 2, 3, 0, 1, 2, 4, 3, 1, 4, 3, 1, 1, 4, 1, 2, 1, 2, 4, 0, 0, 2, 4, 2, 4, 2, 1, 3, 4, 0, 3, 4, 1, 1, 0, 4, 3, 1, 4, 2, 1, 2, 4, 4, 0, 1, 3, 4, 1, 0, 0, 1, 4, 4, 4, 2, 0, 2, 3, 2, 2, 2, 1, 0, 4, 3, 2, 1, 2, 1, 4, 4, 1, 2, 3, 0, 4, 4, 2, 4, 2, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 4, 4, 0, 1, 3, 1, 4, 0, 0, 1, 0, 2, 3, 1, 0, 4, 1, 2, 3, 4, 2, 4, 0, 0, 4, 0, 1, 4, 0, 4, 1, 1, 3, 0, 0, 2, 2, 2, 4, 0] pubkeycol1154 = [4, 2, 4, 0, 3, 0, 1, 1, 3, 1, 0, 2, 3, 1, 4, 0, 2, 3, 0, 0, 2, 3, 2, 1, 2, 1, 4, 1, 1, 0, 3, 3, 0, 3, 1, 4, 3, 0, 4, 2, 1, 4, 3, 0, 0, 2, 2, 3, 1, 3, 4, 1, 4, 3, 2, 4, 3, 2, 0, 2, 4, 4, 1, 4, 3, 4, 0, 4, 2, 0, 4, 4, 0, 4, 3, 2, 2, 2, 3, 2, 2, 0, 4, 3, 1, 2, 0, 3, 0, 0, 4, 4, 0, 3, 3, 2, 2, 2, 4, 3, 4, 3, 2, 3, 2, 2, 1, 1, 3, 1, 2, 3, 4, 1, 2, 4, 1, 0, 2, 3, 0, 4, 2, 0, 3, 0, 0, 3, 4, 0, 4, 2, 1, 2, 4, 3, 4, 0, 1, 0, 1, 3, 3, 3, 3, 1, 1, 4, 3, 4, 4, 0, 0, 1, 3, 3, 3, 2, 2, 4, 1, 2, 1, 2, 0, 3, 0, 0, 4, 3, 3, 1, 3, 2, 0, 0, 4, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 0, 3, 1, 0, 4, 3, 3, 3, 4, 4, 0, 4, 3, 4, 0, 2, 1, 1, 3, 2, 0, 0, 2, 4, 3, 0, 3, 4, 2, 2, 1, 2, 2, 4, 1, 4, 4, 3, 2, 3, 0, 4, 3, 1, 3, 2, 0, 0, 3, 1, 0, 4, 2, 0, 2, 2, 4, 1, 1, 2, 1, 1, 3, 3, 3, 2, 2, 3, 4, 4, 0, 4, 4, 1, 1, 0, 3, 0, 4, 4, 2, 2, 3, 2, 4, 4, 1, 1, 3, 4, 0, 1, 2, 3, 1, 4, 3, 0, 2, 2, 2, 2, 2, 4, 3, 2, 2, 2, 1, 3, 1, 2, 3, 1, 1, 1, 3, 1, 0, 4, 1, 1, 2, 4, 2, 4, 4, 4, 2, 4, 4, 1, 0, 4, 2, 0, 3, 1, 4, 0, 1, 3, 0, 1, 1, 1, 3, 4, 2, 1, 0, 0, 0, 2, 0, 3, 1, 2, 0, 2, 1, 4, 4, 0, 4, 2, 4, 2, 2, 0, 0, 3, 3, 3, 2, 2, 2, 1, 0, 3, 4, 2, 2, 3, 3, 3, 1, 0, 2, 1, 3, 4, 1, 2, 0, 1, 4, 2, 0, 0, 3, 3, 0, 2, 2, 1, 1, 0] pubkeycol1155 = [1, 2, 4, 1, 2, 3, 0, 1, 4, 1, 2, 2, 3, 4, 2, 0, 1, 4, 4, 0, 2, 1, 0, 2, 0, 4, 1, 0, 3, 3, 4, 3, 4, 0, 3, 0, 2, 3, 4, 3, 0, 0, 4, 4, 1, 3, 0, 4, 4, 2, 0, 1, 4, 4, 0, 4, 4, 4, 2, 3, 1, 1, 0, 3, 4, 3, 0, 1, 2, 1, 4, 2, 0, 2, 3, 1, 3, 2, 2, 4, 0, 3, 2, 4, 4, 2, 4, 1, 0, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 2, 4, 2, 1, 3, 2, 2, 2, 4, 3, 1, 0, 2, 4, 2, 1, 4, 0, 2, 1, 2, 2, 1, 4, 2, 0, 0, 0, 4, 1, 3, 2, 3, 0, 0, 4, 3, 0, 0, 2, 1, 4, 2, 0, 0, 4, 3, 0, 0, 1, 0, 2, 2, 0, 4, 4, 3, 2, 3, 2, 2, 4, 3, 2, 0, 4, 3, 1, 4, 1, 1, 4, 3, 3, 1, 4, 2, 0, 1, 2, 1, 1, 2, 4, 1, 3, 4, 0, 3, 1, 4, 3, 4, 3, 0, 1, 3, 2, 2, 2, 2, 0, 0, 3, 2, 2, 0, 4, 2, 4, 3, 2, 1, 0, 3, 3, 2, 3, 4, 0, 0, 4, 2, 0, 2, 2, 0, 2, 1, 3, 3, 3, 2, 3, 2, 0, 4, 2, 1, 2, 0, 4, 0, 0, 0, 4, 0, 3, 1, 1, 2, 2, 2, 2, 3, 0, 4, 4, 3, 0, 1, 3, 3, 4, 0, 4, 1, 3, 3, 1, 3, 1, 4, 0, 0, 2, 1, 2, 0, 3, 2, 2, 4, 3, 1, 3, 3, 0, 3, 3, 2, 3, 0, 0, 1, 0, 0, 2, 0, 1, 3, 3, 3, 0, 2, 0, 4, 3, 2, 1, 3, 3, 0, 1, 4, 1, 2, 1, 0, 4, 0, 1, 4, 1, 4, 0, 2, 3, 1, 4, 3, 3, 2, 4, 2, 2, 1, 4, 0, 4, 3, 0, 4, 4, 1, 1, 2, 4, 3, 2, 4, 0, 4, 4, 2, 0, 1, 2, 3, 2, 4, 0, 4, 2, 0, 3, 4, 2, 2, 4, 3, 1, 2, 2, 1, 4, 3, 3, 1, 3, 1, 3, 0, 4, 0, 1, 3, 4, 1, 3, 1, 3, 2, 1, 0, 4, 4, 2, 2, 2, 0] pubkeycol1156 = [3, 4, 1, 3, 4, 1, 1, 2, 0, 4, 3, 1, 1, 2, 2, 4, 2, 3, 3, 0, 3, 3, 4, 2, 1, 0, 2, 1, 0, 3, 3, 3, 4, 0, 0, 0, 4, 3, 3, 4, 0, 1, 0, 1, 3, 0, 4, 3, 2, 1, 2, 0, 2, 0, 3, 4, 3, 2, 2, 1, 3, 4, 4, 3, 4, 3, 0, 2, 3, 4, 1, 3, 0, 1, 2, 1, 4, 2, 0, 1, 2, 3, 2, 4, 0, 2, 2, 0, 0, 4, 2, 1, 3, 4, 2, 2, 3, 2, 4, 4, 2, 4, 2, 1, 0, 0, 1, 3, 3, 3, 2, 1, 2, 4, 0, 4, 3, 2, 2, 1, 0, 2, 4, 1, 2, 0, 0, 4, 1, 0, 1, 0, 2, 3, 3, 3, 3, 3, 0, 4, 1, 3, 1, 3, 2, 2, 2, 0, 2, 4, 3, 2, 3, 1, 3, 1, 3, 0, 0, 1, 4, 3, 0, 1, 3, 1, 1, 3, 1, 2, 2, 2, 0, 1, 3, 0, 0, 3, 1, 0, 2, 2, 1, 3, 3, 0, 1, 0, 4, 2, 4, 3, 2, 1, 2, 2, 2, 2, 2, 4, 4, 2, 2, 3, 0, 4, 2, 3, 2, 1, 0, 1, 3, 3, 4, 2, 0, 2, 3, 1, 2, 2, 1, 4, 4, 4, 4, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 3, 1, 4, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 3, 2, 0, 2, 1, 0, 2, 2, 2, 3, 4, 1, 2, 1, 3, 3, 0, 1, 3, 3, 4, 3, 2, 1, 1, 1, 4, 2, 3, 1, 4, 3, 2, 0, 4, 4, 2, 1, 3, 1, 4, 4, 3, 2, 3, 1, 4, 2, 1, 4, 0, 4, 0, 4, 3, 2, 3, 2, 4, 3, 0, 3, 1, 3, 3, 2, 2, 0, 1, 1, 1, 4, 2, 4, 2, 0, 0, 4, 3, 2, 0, 4, 3, 0, 0, 2, 1, 3, 0, 0, 3, 3, 3, 2, 0, 2, 1, 3, 2, 4, 4, 3, 3, 3, 4, 4, 0, 3, 2, 3, 3, 1, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 2, 1, 3, 3, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 4, 4, 3, 3, 4, 2, 4] pubkeycol1157 = [3, 0, 1, 0, 0, 4, 2, 3, 0, 1, 1, 1, 0, 4, 3, 0, 1, 3, 4, 4, 0, 3, 4, 3, 4, 1, 0, 4, 2, 4, 0, 4, 1, 3, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 4, 0, 1, 0, 0, 1, 4, 3, 0, 1, 1, 3, 0, 3, 3, 2, 1, 4, 1, 3, 0, 3, 1, 4, 4, 3, 0, 3, 0, 0, 2, 4, 2, 2, 2, 1, 2, 0, 4, 3, 0, 1, 3, 0, 1, 0, 0, 4, 1, 3, 2, 0, 2, 0, 1, 2, 0, 2, 0, 3, 3, 4, 3, 3, 1, 4, 4, 2, 4, 4, 0, 4, 2, 4, 2, 4, 3, 4, 4, 2, 3, 1, 4, 1, 1, 3, 1, 0, 3, 3, 0, 1, 1, 2, 0, 2, 1, 4, 3, 3, 0, 3, 3, 4, 0, 0, 0, 1, 3, 2, 4, 2, 0, 1, 3, 3, 4, 1, 3, 2, 4, 3, 4, 3, 3, 3, 3, 0, 4, 3, 2, 0, 0, 0, 3, 1, 3, 4, 3, 4, 4, 2, 1, 2, 2, 2, 4, 3, 1, 4, 4, 3, 3, 1, 4, 2, 1, 1, 0, 1, 1, 0, 0, 4, 2, 4, 3, 2, 1, 1, 1, 0, 4, 2, 2, 4, 1, 2, 0, 4, 1, 0, 0, 1, 2, 2, 2, 0, 4, 2, 0, 1, 0, 2, 4, 1, 3, 3, 0, 0, 3, 3, 3, 0, 4, 4, 0, 4, 2, 1, 3, 4, 1, 3, 2, 2, 1, 2, 3, 0, 1, 3, 2, 3, 4, 0, 2, 1, 2, 0, 1, 1, 4, 4, 2, 2, 0, 4, 0, 4, 2, 2, 0, 3, 3, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 3, 0, 3, 3, 3, 4, 2, 4, 1, 1, 2, 2, 0, 3, 3, 0, 4, 0, 1, 2, 0, 1, 2, 3, 3, 2, 0, 1, 1, 4, 2, 1, 0, 1, 2, 4, 4, 1, 3, 2, 2, 2, 4, 4, 4, 2, 3, 3, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 4, 2, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 1, 0, 2, 0, 3, 3, 4, 0, 3, 4, 1, 4, 4, 4, 2, 3, 3, 0, 0, 0, 4, 1, 2, 4, 2] pubkeycol1158 = [1, 2, 1, 0, 0, 0, 0, 4, 4, 1, 3, 2, 2, 2, 0, 2, 4, 2, 4, 0, 2, 4, 3, 2, 4, 2, 3, 2, 4, 1, 2, 3, 3, 2, 0, 1, 2, 0, 3, 2, 4, 3, 3, 4, 1, 0, 2, 0, 2, 1, 0, 4, 2, 2, 2, 0, 1, 4, 1, 0, 3, 4, 2, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 3, 4, 3, 0, 3, 0, 2, 3, 4, 0, 2, 1, 2, 2, 1, 3, 2, 1, 4, 0, 2, 4, 3, 3, 3, 4, 3, 4, 3, 1, 0, 0, 4, 0, 2, 2, 2, 4, 2, 0, 1, 3, 0, 0, 2, 2, 4, 1, 3, 4, 1, 2, 0, 2, 2, 0, 1, 0, 3, 2, 0, 4, 1, 0, 1, 0, 0, 2, 3, 3, 3, 0, 3, 2, 4, 1, 1, 4, 1, 3, 4, 2, 1, 1, 4, 2, 4, 4, 1, 4, 4, 1, 1, 0, 4, 1, 3, 4, 0, 1, 2, 0, 0, 1, 0, 4, 4, 3, 1, 0, 0, 0, 3, 0, 1, 2, 4, 4, 2, 3, 3, 3, 4, 0, 4, 1, 4, 1, 2, 2, 2, 1, 1, 3, 2, 4, 1, 4, 1, 4, 4, 4, 3, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 3, 2, 4, 4, 4, 4, 1, 0, 4, 1, 3, 0, 0, 1, 2, 3, 3, 1, 3, 4, 2, 4, 4, 4, 1, 1, 1, 4, 1, 1, 3, 4, 4, 1, 1, 0, 3, 1, 4, 4, 2, 1, 1, 2, 4, 0, 0, 3, 3, 2, 1, 0, 1, 1, 4, 4, 2, 1, 2, 2, 0, 4, 2, 4, 1, 3, 2, 3, 3, 4, 0, 4, 2, 4, 0, 1, 4, 0, 3, 4, 2, 3, 1, 4, 1, 0, 4, 1, 2, 3, 3, 2, 2, 2, 0, 1, 4, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 4, 3, 2, 3, 3, 3, 4, 0, 4, 1, 4, 4, 1, 3, 3, 3, 4, 4, 1, 3, 3, 1, 2, 4, 2, 1, 4, 0, 0, 4, 3, 3, 2, 4, 3, 4, 4, 3, 1, 2, 2, 3, 3, 4, 0, 1, 1, 3, 3, 1, 1, 0, 3, 4, 4, 3, 3] pubkeycol1159 = [2, 4, 0, 3, 3, 0, 1, 2, 4, 0, 4, 2, 0, 1, 4, 1, 4, 3, 4, 3, 2, 0, 3, 2, 3, 0, 3, 0, 0, 3, 2, 2, 0, 3, 2, 0, 4, 3, 2, 3, 0, 1, 2, 0, 0, 1, 1, 1, 1, 3, 2, 0, 3, 4, 4, 3, 3, 2, 2, 2, 0, 2, 4, 2, 2, 1, 0, 0, 0, 4, 3, 4, 4, 0, 3, 3, 0, 0, 1, 1, 0, 1, 2, 4, 4, 0, 4, 1, 2, 2, 4, 2, 4, 3, 0, 1, 3, 0, 4, 0, 4, 3, 4, 0, 4, 1, 0, 3, 1, 3, 2, 0, 1, 1, 1, 3, 4, 0, 0, 0, 4, 1, 4, 4, 0, 4, 0, 3, 1, 1, 1, 2, 0, 1, 2, 4, 2, 4, 2, 4, 2, 4, 1, 4, 3, 0, 4, 1, 2, 2, 0, 4, 3, 0, 2, 2, 2, 3, 3, 0, 1, 2, 0, 2, 4, 1, 3, 1, 1, 0, 2, 2, 0, 1, 1, 1, 3, 0, 1, 3, 4, 3, 1, 4, 1, 1, 3, 0, 1, 4, 1, 3, 0, 4, 4, 1, 4, 1, 4, 2, 1, 2, 3, 2, 2, 0, 0, 4, 3, 2, 3, 2, 1, 1, 2, 3, 1, 3, 2, 3, 4, 0, 0, 2, 1, 0, 4, 1, 2, 1, 3, 4, 4, 1, 1, 3, 0, 3, 1, 4, 1, 3, 1, 4, 0, 4, 4, 4, 2, 1, 2, 3, 4, 2, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 2, 0, 0, 0, 2, 2, 3, 0, 1, 0, 3, 4, 0, 4, 1, 3, 0, 1, 3, 0, 0, 4, 1, 3, 0, 1, 3, 4, 2, 3, 4, 2, 1, 0, 4, 1, 1, 3, 1, 3, 0, 3, 3, 1, 2, 4, 0, 1, 4, 4, 4, 3, 3, 0, 3, 4, 3, 3, 2, 0, 4, 0, 2, 3, 0, 0, 2, 2, 4, 0, 3, 1, 1, 0, 1, 4, 0, 1, 3, 3, 3, 3, 0, 2, 3, 0, 1, 4, 2, 3, 4, 0, 1, 1, 3, 2, 1, 1, 3, 3, 2, 2, 1, 0, 2, 2, 4, 3, 0, 2, 4, 4, 2, 3, 4, 2, 1, 4, 0, 1, 0, 3, 3, 1, 4, 2, 4, 2, 0, 3, 4, 4, 2, 0, 2, 1] pubkeycol1160 = [0, 1, 2, 0, 0, 0, 0, 4, 4, 2, 0, 2, 0, 2, 3, 0, 2, 2, 0, 4, 4, 1, 0, 0, 3, 2, 1, 2, 4, 2, 2, 4, 3, 3, 3, 2, 4, 2, 3, 3, 0, 0, 1, 3, 2, 3, 3, 4, 4, 4, 2, 4, 4, 1, 0, 1, 4, 0, 4, 3, 2, 4, 0, 4, 0, 2, 2, 3, 0, 2, 0, 4, 0, 2, 1, 2, 0, 0, 2, 4, 2, 4, 0, 0, 4, 4, 4, 0, 0, 3, 4, 3, 4, 2, 3, 1, 0, 0, 1, 0, 1, 4, 3, 3, 4, 0, 3, 3, 2, 4, 2, 0, 4, 1, 2, 4, 3, 3, 4, 1, 4, 0, 4, 1, 2, 2, 1, 3, 1, 0, 0, 1, 3, 0, 3, 1, 3, 3, 0, 3, 0, 2, 1, 1, 4, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 4, 4, 0, 3, 1, 4, 0, 1, 3, 3, 3, 2, 3, 1, 0, 2, 4, 2, 3, 2, 1, 3, 4, 2, 3, 2, 0, 3, 1, 0, 1, 4, 4, 4, 4, 0, 2, 0, 4, 2, 4, 4, 0, 2, 4, 3, 3, 3, 3, 1, 4, 3, 4, 1, 3, 1, 3, 3, 3, 4, 0, 0, 4, 4, 0, 4, 1, 1, 3, 2, 3, 3, 3, 2, 0, 3, 3, 2, 3, 3, 4, 1, 4, 4, 2, 4, 4, 0, 1, 3, 2, 2, 1, 3, 2, 1, 3, 1, 0, 3, 0, 1, 0, 3, 1, 3, 4, 4, 0, 2, 3, 1, 3, 0, 2, 2, 4, 2, 4, 4, 0, 2, 2, 4, 0, 4, 1, 1, 4, 4, 0, 2, 1, 2, 2, 2, 3, 1, 4, 4, 4, 2, 2, 4, 2, 4, 3, 4, 4, 2, 4, 1, 0, 0, 1, 3, 1, 4, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 0, 1, 4, 1, 1, 4, 2, 1, 2, 0, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 4, 1, 3, 4, 1, 3, 1, 4, 2, 2, 0, 1, 2, 4, 2, 2, 2, 0, 2, 0, 4, 3, 0, 3, 1, 1, 2, 4, 3, 2, 4, 0, 4, 1, 2, 0, 0, 4, 4, 1, 4, 3, 3, 3, 1, 4, 2, 4, 3, 0, 3, 2, 2, 1, 2] pubkeycol1161 = [1, 1, 1, 1, 4, 1, 4, 0, 1, 0, 2, 1, 1, 4, 0, 0, 4, 3, 3, 1, 2, 0, 0, 2, 0, 0, 4, 1, 3, 4, 1, 0, 2, 3, 1, 0, 1, 2, 1, 1, 4, 3, 4, 0, 4, 2, 4, 0, 0, 4, 4, 0, 2, 3, 0, 4, 0, 1, 1, 1, 2, 2, 0, 2, 4, 2, 0, 4, 0, 3, 0, 0, 2, 2, 4, 0, 4, 4, 3, 2, 4, 4, 3, 0, 0, 1, 1, 0, 4, 1, 1, 0, 3, 1, 2, 3, 1, 3, 0, 0, 4, 0, 1, 3, 0, 0, 3, 0, 2, 4, 4, 3, 4, 4, 4, 1, 2, 1, 2, 1, 1, 1, 4, 1, 4, 1, 3, 2, 3, 4, 3, 1, 1, 1, 3, 3, 1, 1, 4, 1, 2, 0, 0, 4, 3, 0, 3, 1, 4, 1, 3, 3, 3, 4, 3, 0, 2, 3, 1, 3, 0, 2, 0, 3, 4, 0, 3, 4, 1, 2, 4, 1, 3, 4, 4, 3, 3, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 3, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 4, 3, 2, 0, 2, 2, 3, 2, 2, 1, 4, 1, 0, 4, 3, 0, 4, 2, 4, 0, 4, 4, 0, 2, 1, 0, 4, 0, 4, 1, 2, 1, 3, 2, 3, 0, 4, 3, 3, 0, 2, 3, 1, 4, 1, 4, 2, 0, 2, 3, 0, 2, 2, 0, 3, 2, 1, 2, 3, 1, 0, 2, 4, 0, 2, 0, 0, 2, 4, 2, 0, 3, 1, 0, 0, 3, 4, 3, 1, 3, 3, 1, 0, 1, 0, 4, 1, 2, 4, 1, 2, 1, 0, 2, 2, 4, 0, 3, 3, 2, 2, 2, 4, 4, 1, 2, 3, 4, 1, 4, 2, 3, 4, 1, 1, 2, 4, 0, 1, 3, 3, 2, 0, 1, 1, 1, 1, 2, 4, 1, 2, 4, 2, 4, 3, 0, 2, 2, 3, 0, 4, 4, 0, 4, 4, 1, 0, 1, 4, 4, 1, 1, 2, 3, 4, 3, 1, 3, 4, 3, 1, 4, 2, 2, 0, 0, 0, 3, 2, 1, 1, 4, 3, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 4, 2, 3, 4, 2, 4, 3, 0, 1, 4, 1, 1, 1, 0, 3, 2] pubkeycol1162 = [4, 1, 4, 0, 4, 0, 2, 4, 3, 3, 2, 4, 4, 2, 0, 2, 4, 0, 1, 0, 4, 1, 3, 0, 4, 2, 0, 2, 3, 2, 3, 1, 2, 0, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 0, 3, 1, 4, 2, 0, 4, 3, 0, 4, 0, 0, 2, 1, 0, 1, 1, 4, 2, 3, 0, 0, 3, 0, 1, 1, 0, 0, 3, 4, 0, 4, 4, 1, 2, 0, 3, 3, 2, 4, 2, 4, 1, 3, 1, 3, 2, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 0, 2, 0, 3, 3, 2, 2, 1, 2, 2, 1, 1, 4, 3, 4, 4, 4, 0, 0, 3, 4, 2, 0, 3, 3, 3, 3, 1, 3, 0, 3, 0, 0, 3, 2, 1, 3, 2, 1, 0, 0, 4, 3, 4, 4, 4, 0, 2, 3, 3, 3, 2, 0, 0, 2, 0, 3, 0, 2, 3, 4, 2, 1, 3, 4, 0, 2, 0, 2, 0, 4, 4, 4, 1, 0, 1, 4, 0, 4, 0, 4, 1, 2, 0, 1, 4, 3, 3, 3, 2, 0, 4, 3, 1, 1, 2, 2, 3, 1, 1, 4, 2, 4, 3, 4, 0, 3, 2, 4, 1, 2, 2, 0, 4, 3, 1, 1, 1, 4, 3, 0, 4, 0, 1, 3, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 1, 3, 3, 4, 0, 4, 2, 2, 3, 4, 4, 0, 2, 4, 3, 2, 1, 0, 1, 3, 4, 3, 3, 3, 4, 0, 4, 0, 2, 1, 2, 3, 0, 2, 1, 1, 1, 0, 1, 4, 0, 3, 0, 2, 2, 1, 3, 0, 1, 0, 1, 3, 0, 0, 3, 1, 2, 0, 1, 3, 3, 3, 3, 4, 3, 2, 0, 1, 1, 2, 0, 4, 2, 3, 4, 1, 3, 3, 0, 2, 0, 0, 4, 4, 3, 0, 2, 2, 0, 0, 1, 4, 2, 4, 4, 4, 3, 4, 3, 1, 1, 0, 4, 4, 3, 4, 1, 1, 1, 2, 1, 4, 0, 1, 2, 1, 1, 0, 1, 2, 4, 2, 3, 0, 4, 2, 0, 1, 3, 1, 2, 2, 1, 0, 1, 0, 0, 1, 3, 4, 1, 2, 4, 1, 1, 0, 1, 2, 0] pubkeycol1163 = [3, 2, 3, 3, 3, 1, 0, 1, 4, 3, 1, 1, 0, 0, 3, 0, 0, 2, 3, 0, 4, 2, 1, 3, 2, 0, 2, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 1, 1, 4, 2, 4, 3, 4, 1, 0, 4, 2, 3, 3, 2, 4, 4, 2, 0, 2, 0, 3, 1, 3, 3, 4, 3, 2, 1, 4, 4, 3, 3, 1, 4, 2, 1, 2, 0, 0, 4, 3, 1, 1, 1, 1, 3, 3, 2, 3, 3, 4, 2, 3, 0, 4, 3, 3, 2, 4, 2, 4, 4, 2, 4, 2, 3, 4, 1, 3, 4, 0, 2, 1, 1, 3, 2, 3, 3, 2, 0, 2, 4, 4, 0, 4, 3, 4, 2, 3, 4, 2, 1, 4, 1, 3, 3, 3, 4, 2, 2, 4, 0, 2, 0, 0, 0, 4, 1, 4, 2, 0, 4, 3, 4, 2, 3, 2, 4, 2, 4, 3, 0, 1, 3, 0, 0, 2, 2, 4, 2, 1, 3, 1, 4, 2, 4, 1, 4, 1, 4, 0, 4, 2, 2, 2, 3, 3, 1, 4, 4, 0, 2, 2, 1, 3, 0, 1, 3, 0, 3, 1, 1, 3, 3, 0, 0, 3, 3, 1, 2, 3, 0, 1, 0, 3, 3, 4, 4, 4, 3, 1, 1, 0, 4, 4, 2, 4, 3, 4, 0, 3, 4, 0, 3, 2, 4, 3, 2, 0, 1, 4, 1, 0, 0, 2, 1, 1, 2, 3, 4, 2, 1, 1, 1, 2, 1, 1, 1, 4, 2, 4, 0, 4, 2, 1, 1, 1, 0, 1, 1, 1, 3, 3, 1, 4, 1, 3, 3, 1, 4, 2, 3, 4, 0, 0, 2, 0, 2, 2, 3, 0, 2, 1, 4, 4, 3, 1, 4, 1, 0, 2, 1, 2, 2, 0, 1, 2, 3, 2, 2, 2, 0, 3, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 3, 4, 3, 1, 4, 0, 3, 4, 4, 0, 0, 0, 1, 4, 3, 3, 3, 3, 4, 1, 0, 2, 3, 1, 3, 1, 4, 2, 4, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 0, 2, 4, 0, 2, 2, 3, 3, 0, 0, 3, 1, 2, 1, 0, 3, 1, 4, 1, 0, 1, 0, 4, 3, 1, 4, 3, 0, 2, 1, 2, 4, 2, 1] pubkeycol1164 = [0, 1, 4, 1, 4, 0, 1, 1, 3, 2, 0, 4, 2, 4, 0, 2, 1, 2, 0, 0, 1, 3, 3, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 3, 0, 1, 4, 2, 1, 0, 3, 4, 3, 4, 4, 0, 1, 1, 0, 2, 1, 3, 0, 2, 3, 2, 3, 1, 1, 4, 1, 3, 1, 0, 1, 4, 3, 1, 0, 0, 4, 4, 2, 0, 3, 1, 1, 4, 2, 3, 1, 3, 0, 0, 2, 0, 4, 3, 0, 0, 1, 0, 0, 1, 1, 0, 4, 4, 0, 2, 3, 3, 2, 4, 1, 4, 2, 1, 0, 3, 3, 3, 2, 4, 2, 1, 4, 1, 1, 0, 3, 1, 3, 4, 1, 4, 4, 0, 0, 3, 2, 1, 0, 0, 1, 0, 2, 1, 2, 3, 1, 4, 1, 2, 1, 4, 3, 4, 4, 3, 0, 2, 0, 0, 1, 1, 2, 4, 2, 0, 1, 3, 0, 2, 4, 1, 0, 1, 2, 4, 1, 2, 2, 1, 2, 4, 3, 3, 3, 0, 4, 2, 1, 2, 0, 1, 3, 4, 0, 2, 1, 3, 0, 0, 0, 0, 1, 4, 4, 4, 0, 3, 2, 1, 2, 2, 4, 2, 0, 1, 2, 0, 2, 2, 3, 1, 1, 2, 4, 4, 2, 2, 3, 1, 1, 4, 0, 1, 3, 4, 1, 0, 4, 1, 3, 0, 2, 4, 2, 2, 4, 4, 2, 4, 4, 3, 2, 0, 1, 3, 2, 2, 4, 2, 4, 3, 3, 0, 4, 4, 3, 1, 2, 3, 0, 3, 1, 2, 3, 4, 3, 1, 3, 2, 3, 1, 3, 4, 4, 0, 1, 1, 2, 4, 4, 1, 2, 1, 3, 0, 0, 0, 4, 0, 1, 2, 2, 0, 4, 1, 1, 3, 0, 3, 3, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 3, 1, 0, 3, 3, 0, 0, 2, 2, 3, 3, 2, 3, 3, 3, 1, 0, 3, 3, 0, 1, 1, 2, 3, 0, 4, 2, 1, 2, 1, 3, 3, 2, 1, 1, 1, 0, 4, 4, 3, 2, 2, 2, 3, 2, 1, 4, 1, 4, 0, 4, 2, 0, 2, 1, 2, 2, 0, 4, 4, 1, 0, 4, 2, 1, 1, 3, 4, 4, 1, 3, 4, 4, 0, 2, 0, 2, 3, 4, 4, 2, 2] pubkeycol1165 = [1, 1, 0, 4, 1, 2, 3, 3, 1, 2, 2, 3, 3, 4, 2, 4, 4, 4, 2, 4, 0, 0, 2, 4, 3, 2, 0, 3, 2, 4, 3, 3, 0, 0, 2, 2, 4, 0, 1, 4, 4, 3, 2, 3, 0, 3, 1, 4, 1, 3, 2, 3, 4, 4, 3, 1, 3, 2, 0, 2, 0, 3, 3, 4, 2, 0, 4, 3, 3, 0, 1, 1, 2, 4, 4, 1, 2, 2, 1, 2, 3, 4, 4, 0, 4, 1, 4, 2, 2, 0, 1, 3, 2, 3, 2, 0, 4, 2, 3, 0, 0, 1, 1, 4, 4, 4, 1, 0, 3, 1, 1, 3, 4, 2, 4, 1, 1, 4, 1, 4, 4, 0, 3, 1, 3, 4, 4, 0, 3, 0, 2, 0, 2, 3, 2, 0, 4, 3, 2, 0, 3, 2, 0, 1, 3, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 4, 3, 0, 4, 3, 0, 0, 4, 2, 1, 4, 0, 0, 2, 4, 2, 0, 4, 3, 3, 1, 4, 0, 0, 4, 3, 4, 3, 3, 3, 2, 4, 3, 0, 0, 2, 1, 2, 4, 0, 3, 3, 3, 3, 2, 1, 0, 0, 1, 4, 0, 1, 2, 0, 2, 4, 3, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 2, 4, 3, 1, 0, 2, 4, 1, 4, 4, 4, 0, 2, 2, 0, 0, 0, 1, 2, 3, 0, 4, 1, 2, 4, 0, 1, 0, 1, 0, 2, 4, 4, 3, 2, 1, 2, 4, 3, 1, 0, 2, 2, 0, 0, 4, 2, 3, 1, 1, 3, 2, 3, 0, 1, 4, 2, 3, 0, 0, 2, 0, 3, 2, 1, 3, 2, 1, 4, 3, 0, 4, 1, 4, 1, 3, 0, 0, 4, 0, 2, 4, 0, 4, 1, 0, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 0, 4, 3, 3, 2, 0, 4, 3, 4, 4, 2, 1, 4, 0, 0, 0, 2, 3, 1, 1, 2, 1, 1, 2, 4, 2, 3, 3, 4, 3, 1, 2, 3, 3, 2, 1, 4, 1, 0, 2, 2, 1, 3, 3, 0, 4, 3, 4, 3, 1, 3, 3, 1, 0, 4, 1, 4, 4, 2, 3, 2, 4, 4, 1, 1, 2, 4, 2, 0] pubkeycol1166 = [4, 0, 2, 2, 3, 1, 3, 2, 3, 0, 4, 1, 4, 0, 3, 0, 3, 2, 4, 3, 1, 1, 2, 2, 4, 1, 1, 1, 3, 4, 3, 4, 3, 1, 0, 3, 1, 1, 3, 3, 1, 1, 3, 0, 2, 0, 3, 4, 3, 4, 4, 0, 0, 3, 0, 3, 4, 2, 3, 2, 4, 2, 1, 4, 3, 2, 3, 1, 1, 2, 3, 3, 0, 2, 1, 1, 3, 0, 3, 4, 4, 4, 2, 3, 2, 4, 2, 4, 0, 3, 1, 4, 2, 2, 4, 4, 0, 3, 2, 4, 0, 4, 3, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 4, 0, 0, 2, 2, 4, 0, 3, 1, 1, 1, 3, 0, 3, 1, 3, 4, 3, 0, 2, 4, 4, 0, 2, 4, 3, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 3, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 1, 2, 0, 2, 3, 3, 2, 3, 1, 4, 1, 1, 1, 1, 2, 4, 0, 3, 0, 3, 1, 1, 4, 1, 0, 4, 3, 4, 0, 3, 0, 0, 2, 4, 1, 1, 1, 4, 1, 3, 2, 0, 1, 4, 0, 1, 0, 3, 1, 4, 1, 1, 3, 2, 1, 2, 3, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 4, 2, 0, 3, 4, 3, 3, 0, 4, 3, 3, 0, 1, 0, 2, 0, 0, 4, 4, 4, 0, 1, 2, 4, 3, 4, 3, 2, 2, 1, 3, 4, 3, 0, 1, 2, 4, 0, 2, 3, 4, 0, 0, 0, 2, 1, 0, 2, 1, 1, 3, 2, 1, 4, 4, 3, 1, 2, 2, 2, 4, 0, 4, 4, 2, 1, 4, 2, 2, 2, 4, 2, 0, 4, 1, 1, 3, 4, 3, 1, 0, 4, 2, 3, 0, 2, 0, 0, 2, 4, 2, 0, 1, 4, 4, 4, 2, 0, 3, 2, 1, 4, 0, 4, 4, 1, 4, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 0, 4, 3, 2, 1, 2, 3, 0, 3, 1, 4, 3, 1, 3, 3, 2, 0, 3, 2, 1, 1, 2, 4, 3, 0, 2, 2, 0, 2, 3, 3, 3, 3, 4, 2, 0, 1, 1, 1, 3, 2, 2, 0, 0, 4, 4] pubkeycol1167 = [3, 3, 3, 1, 1, 2, 4, 0, 4, 1, 3, 4, 1, 3, 2, 2, 3, 2, 3, 2, 4, 2, 1, 3, 0, 1, 2, 4, 2, 2, 4, 2, 0, 4, 1, 4, 4, 3, 3, 0, 3, 2, 2, 0, 0, 1, 3, 2, 3, 4, 4, 2, 2, 1, 4, 4, 3, 0, 0, 1, 3, 2, 3, 1, 4, 4, 1, 0, 1, 4, 1, 0, 4, 4, 1, 2, 4, 3, 2, 1, 1, 2, 4, 3, 0, 0, 0, 4, 2, 4, 2, 4, 2, 1, 0, 0, 4, 2, 3, 3, 3, 2, 0, 3, 1, 1, 2, 1, 0, 0, 0, 3, 3, 0, 3, 2, 4, 0, 3, 0, 0, 1, 3, 2, 2, 1, 3, 4, 0, 3, 4, 0, 0, 4, 1, 0, 3, 1, 4, 3, 3, 2, 4, 4, 0, 1, 0, 3, 3, 0, 4, 4, 4, 4, 3, 1, 3, 0, 2, 2, 2, 4, 3, 0, 4, 1, 3, 2, 2, 3, 2, 2, 2, 2, 3, 3, 0, 3, 3, 1, 0, 0, 0, 2, 4, 4, 3, 2, 3, 3, 3, 1, 4, 0, 1, 2, 4, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 3, 2, 2, 3, 1, 3, 2, 3, 3, 4, 4, 4, 2, 4, 2, 2, 0, 4, 0, 3, 1, 3, 0, 0, 4, 1, 3, 3, 2, 1, 4, 1, 1, 0, 4, 0, 2, 1, 4, 1, 4, 3, 0, 3, 0, 2, 2, 1, 0, 4, 4, 0, 0, 1, 3, 0, 4, 1, 2, 2, 2, 0, 2, 4, 2, 4, 1, 4, 1, 2, 0, 0, 2, 1, 3, 4, 0, 3, 0, 0, 0, 3, 1, 4, 4, 3, 3, 0, 2, 0, 2, 4, 4, 3, 2, 4, 1, 0, 3, 4, 3, 0, 1, 2, 1, 3, 2, 4, 3, 0, 1, 3, 3, 4, 4, 4, 4, 4, 1, 4, 2, 0, 4, 2, 3, 2, 4, 1, 0, 1, 3, 2, 4, 1, 1, 3, 4, 1, 0, 0, 1, 1, 2, 4, 3, 1, 1, 3, 2, 1, 2, 2, 0, 3, 4, 0, 4, 0, 4, 3, 4, 2, 2, 3, 0, 0, 2, 1, 2, 4, 1, 0, 0, 0, 2, 2, 3, 2, 1, 0, 3, 4, 0, 4, 2, 1, 3, 4, 4, 2, 3, 0] pubkeycol1168 = [1, 3, 4, 2, 3, 3, 4, 0, 1, 3, 4, 4, 2, 3, 4, 1, 3, 4, 2, 4, 2, 2, 2, 1, 1, 3, 2, 4, 3, 4, 0, 2, 3, 2, 4, 3, 2, 2, 2, 1, 0, 0, 1, 2, 3, 1, 4, 2, 1, 2, 3, 1, 0, 4, 2, 2, 4, 3, 2, 0, 4, 4, 1, 3, 0, 3, 3, 0, 3, 1, 2, 0, 3, 4, 3, 3, 3, 1, 1, 4, 2, 3, 1, 3, 3, 3, 0, 3, 1, 4, 1, 1, 4, 3, 3, 2, 1, 1, 3, 2, 4, 4, 1, 0, 3, 1, 2, 1, 4, 3, 1, 3, 3, 4, 3, 1, 4, 0, 4, 2, 4, 3, 2, 2, 4, 2, 1, 1, 2, 1, 1, 2, 4, 1, 4, 2, 2, 4, 4, 2, 2, 0, 1, 0, 3, 1, 4, 3, 3, 2, 2, 0, 4, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 3, 4, 4, 2, 2, 0, 2, 3, 1, 3, 4, 4, 4, 4, 2, 0, 0, 3, 4, 4, 4, 2, 4, 4, 1, 0, 4, 0, 3, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 4, 0, 2, 4, 3, 1, 1, 0, 1, 2, 2, 0, 3, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 4, 0, 2, 2, 0, 0, 4, 3, 0, 0, 2, 3, 4, 0, 0, 1, 4, 4, 0, 1, 4, 1, 2, 3, 4, 4, 3, 3, 4, 1, 4, 4, 4, 4, 4, 4, 1, 2, 3, 0, 0, 3, 2, 2, 4, 3, 1, 0, 1, 4, 3, 3, 3, 4, 1, 0, 2, 0, 1, 2, 3, 4, 1, 1, 1, 1, 2, 4, 3, 2, 2, 3, 4, 2, 3, 3, 4, 1, 0, 1, 1, 2, 3, 0, 0, 4, 4, 2, 0, 0, 4, 1, 0, 2, 4, 1, 3, 3, 4, 0, 0, 0, 4, 2, 0, 2, 0, 1, 1, 2, 4, 2, 4, 1, 1, 0, 0, 2, 2, 4, 2, 2, 2, 3, 2, 2, 3, 0, 2, 3, 3, 1, 0, 2, 4, 1, 3, 3, 0, 2, 1, 0, 1, 3, 1, 2, 4, 4, 0, 3, 2, 3, 0, 3, 4, 0, 1, 0, 2, 2, 0, 1, 3, 3, 3, 2, 1, 4, 0, 0] pubkeycol1169 = [2, 0, 4, 4, 2, 4, 2, 2, 0, 1, 0, 0, 4, 0, 1, 2, 0, 1, 3, 3, 2, 3, 0, 4, 1, 2, 0, 3, 2, 0, 4, 2, 4, 3, 3, 1, 0, 3, 3, 3, 2, 0, 0, 0, 4, 0, 1, 2, 1, 0, 2, 1, 3, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 0, 1, 1, 3, 3, 3, 0, 4, 2, 3, 2, 1, 3, 3, 4, 4, 4, 3, 3, 1, 2, 1, 2, 2, 0, 0, 1, 4, 2, 2, 0, 1, 1, 4, 2, 3, 3, 1, 3, 4, 0, 4, 3, 0, 0, 2, 4, 4, 0, 2, 2, 4, 4, 3, 4, 2, 4, 3, 2, 1, 1, 1, 2, 0, 4, 2, 0, 1, 3, 2, 0, 4, 3, 0, 2, 4, 4, 0, 0, 4, 3, 4, 4, 4, 3, 2, 3, 2, 2, 4, 3, 3, 3, 4, 2, 0, 0, 1, 1, 4, 4, 1, 2, 1, 3, 2, 1, 3, 1, 4, 1, 3, 3, 4, 4, 0, 3, 3, 0, 3, 2, 0, 2, 0, 3, 3, 4, 4, 1, 4, 3, 4, 2, 2, 2, 0, 2, 0, 1, 3, 0, 0, 0, 3, 2, 4, 0, 4, 4, 4, 3, 3, 0, 3, 4, 1, 1, 4, 0, 4, 3, 3, 3, 0, 1, 3, 1, 4, 4, 3, 4, 0, 4, 0, 0, 2, 2, 4, 0, 1, 1, 3, 1, 4, 0, 0, 3, 1, 3, 3, 4, 2, 0, 1, 0, 0, 2, 3, 2, 2, 4, 2, 2, 1, 1, 4, 0, 0, 1, 4, 4, 2, 2, 0, 0, 1, 1, 2, 2, 3, 4, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 3, 2, 1, 3, 4, 2, 3, 0, 4, 3, 2, 3, 2, 0, 2, 1, 1, 1, 3, 3, 0, 3, 3, 0, 0, 1, 3, 0, 3, 0, 3, 1, 1, 2, 3, 1, 3, 2, 4, 3, 1, 1, 1, 2, 1, 4, 3, 0, 4, 3, 1, 1, 0, 0, 1, 4, 4, 3, 0, 0, 3, 0, 1, 1, 2, 4, 0, 0, 3, 2, 4, 3, 3, 1, 4, 3, 3, 3, 4, 3, 0, 2, 1, 3, 3, 0, 1, 2, 0, 3, 1, 3, 4, 0, 3, 2, 2, 3, 4, 1, 2] pubkeycol1170 = [0, 1, 3, 1, 3, 0, 3, 0, 1, 3, 1, 4, 4, 1, 1, 4, 4, 1, 1, 2, 0, 3, 0, 2, 4, 0, 3, 3, 0, 1, 0, 0, 2, 0, 4, 1, 0, 4, 0, 4, 3, 4, 3, 1, 4, 2, 1, 1, 0, 1, 3, 3, 1, 4, 3, 3, 2, 4, 0, 3, 4, 4, 1, 0, 4, 3, 0, 4, 3, 4, 1, 0, 4, 4, 4, 2, 0, 1, 0, 3, 3, 0, 0, 4, 4, 0, 3, 1, 3, 0, 2, 1, 1, 2, 4, 2, 4, 3, 0, 0, 4, 1, 0, 3, 2, 0, 0, 1, 0, 1, 4, 0, 0, 3, 2, 0, 0, 3, 2, 2, 3, 1, 2, 3, 4, 0, 3, 0, 2, 1, 0, 4, 2, 0, 0, 4, 2, 0, 4, 1, 4, 0, 4, 4, 3, 2, 2, 4, 0, 0, 2, 3, 1, 1, 1, 3, 0, 1, 1, 0, 2, 0, 3, 3, 2, 1, 3, 2, 0, 4, 0, 1, 4, 3, 3, 4, 4, 0, 1, 3, 0, 4, 1, 2, 2, 2, 1, 4, 0, 3, 1, 0, 0, 3, 2, 3, 3, 1, 1, 1, 3, 4, 1, 2, 2, 4, 0, 1, 1, 2, 4, 2, 4, 0, 1, 3, 4, 2, 4, 0, 3, 0, 4, 2, 1, 1, 1, 2, 4, 2, 2, 1, 0, 4, 2, 1, 4, 0, 4, 4, 3, 4, 3, 4, 4, 1, 4, 1, 2, 0, 1, 3, 0, 0, 2, 0, 4, 0, 0, 3, 2, 1, 2, 0, 3, 3, 4, 3, 0, 4, 1, 3, 2, 4, 2, 0, 4, 2, 3, 1, 2, 2, 2, 4, 3, 3, 3, 0, 1, 2, 0, 0, 3, 1, 2, 2, 1, 1, 1, 3, 3, 4, 1, 2, 4, 4, 1, 0, 1, 4, 1, 3, 0, 1, 4, 2, 1, 2, 1, 3, 1, 3, 2, 0, 1, 4, 2, 3, 1, 2, 3, 1, 3, 1, 3, 2, 2, 2, 2, 0, 0, 4, 1, 0, 2, 3, 1, 3, 2, 0, 2, 0, 0, 0, 0, 4, 2, 3, 3, 1, 2, 4, 2, 1, 0, 4, 1, 0, 3, 4, 3, 3, 1, 4, 1, 2, 0, 1, 1, 0, 3, 3, 2, 1, 2, 3, 2, 0, 4, 1, 0, 1, 1, 1, 2, 0, 4, 1, 3, 0] pubkeycol1171 = [0, 1, 4, 4, 1, 4, 1, 1, 2, 3, 1, 4, 4, 4, 2, 1, 2, 4, 0, 3, 1, 1, 4, 4, 0, 4, 1, 4, 3, 1, 3, 2, 1, 0, 3, 3, 3, 4, 3, 2, 4, 3, 2, 0, 1, 1, 3, 2, 2, 3, 1, 2, 0, 2, 3, 0, 2, 3, 3, 3, 4, 1, 0, 3, 1, 0, 1, 2, 4, 2, 4, 4, 3, 3, 4, 1, 3, 0, 1, 4, 3, 3, 2, 2, 0, 4, 1, 0, 0, 3, 2, 3, 4, 4, 1, 4, 4, 1, 2, 1, 2, 3, 0, 0, 2, 1, 0, 2, 0, 3, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 3, 2, 4, 3, 2, 2, 1, 2, 0, 1, 2, 1, 0, 3, 4, 4, 1, 1, 3, 0, 2, 1, 1, 0, 4, 3, 4, 0, 4, 4, 0, 1, 3, 3, 1, 1, 3, 0, 2, 0, 4, 4, 1, 2, 3, 0, 0, 0, 1, 4, 2, 1, 2, 2, 3, 0, 4, 4, 2, 4, 3, 3, 1, 0, 4, 2, 3, 4, 3, 0, 3, 3, 0, 0, 4, 1, 1, 0, 3, 0, 3, 2, 3, 4, 2, 1, 0, 1, 4, 3, 0, 1, 2, 4, 2, 1, 3, 0, 3, 1, 2, 4, 4, 2, 1, 1, 1, 2, 4, 2, 0, 3, 1, 3, 3, 1, 4, 0, 3, 1, 2, 3, 2, 0, 1, 0, 3, 2, 0, 2, 1, 1, 0, 1, 4, 0, 2, 2, 2, 4, 0, 4, 3, 0, 0, 0, 1, 1, 3, 1, 0, 4, 0, 2, 4, 3, 4, 2, 0, 0, 0, 4, 0, 4, 4, 1, 4, 3, 3, 4, 0, 2, 0, 4, 2, 1, 1, 1, 3, 1, 4, 1, 3, 4, 4, 3, 4, 0, 2, 3, 0, 1, 0, 3, 1, 2, 1, 4, 0, 1, 2, 0, 4, 1, 0, 4, 0, 4, 0, 0, 1, 3, 2, 2, 3, 3, 4, 1, 2, 3, 1, 4, 1, 0, 4, 0, 4, 3, 4, 2, 1, 2, 4, 3, 2, 1, 0, 0, 3, 3, 3, 2, 2, 1, 2, 0, 0, 3, 2, 0, 2, 1, 0, 0, 1, 0, 3, 4, 3, 1, 2, 2, 1, 0, 0, 4, 1, 1, 1, 4, 2, 0, 1, 2, 2, 3, 0, 0, 3] pubkeycol1172 = [4, 4, 3, 0, 3, 1, 1, 2, 2, 3, 3, 0, 2, 2, 2, 2, 0, 1, 2, 0, 3, 3, 0, 3, 2, 0, 0, 3, 3, 1, 2, 4, 1, 2, 3, 4, 3, 1, 3, 3, 4, 1, 0, 2, 3, 4, 3, 0, 1, 0, 0, 0, 1, 0, 1, 2, 4, 1, 1, 2, 3, 1, 3, 4, 2, 3, 0, 4, 2, 0, 2, 4, 1, 0, 0, 3, 2, 3, 1, 4, 2, 0, 4, 1, 2, 0, 2, 4, 3, 0, 0, 1, 3, 3, 3, 3, 3, 4, 2, 4, 3, 0, 4, 3, 3, 0, 0, 1, 0, 2, 4, 3, 3, 2, 1, 4, 3, 2, 2, 2, 1, 3, 4, 0, 0, 0, 0, 4, 4, 0, 1, 0, 3, 0, 4, 0, 3, 3, 2, 2, 2, 0, 2, 3, 2, 3, 4, 0, 2, 2, 4, 3, 4, 2, 4, 2, 4, 1, 2, 2, 1, 1, 1, 0, 2, 2, 3, 3, 3, 4, 3, 4, 2, 1, 2, 2, 2, 2, 1, 0, 0, 4, 3, 1, 4, 0, 0, 0, 3, 2, 3, 4, 1, 4, 2, 4, 3, 4, 3, 2, 1, 1, 0, 4, 2, 0, 4, 0, 0, 0, 4, 3, 3, 2, 0, 0, 1, 1, 3, 3, 0, 2, 2, 3, 0, 4, 2, 2, 0, 3, 0, 4, 4, 4, 4, 3, 2, 3, 3, 1, 4, 3, 3, 2, 2, 4, 3, 2, 2, 2, 3, 1, 4, 2, 2, 2, 0, 4, 0, 2, 4, 3, 2, 1, 3, 3, 0, 2, 1, 0, 2, 0, 0, 1, 2, 3, 2, 2, 1, 4, 2, 0, 2, 4, 3, 0, 0, 4, 0, 3, 4, 2, 2, 3, 1, 1, 3, 0, 1, 2, 0, 1, 1, 3, 4, 2, 3, 2, 2, 3, 4, 2, 4, 1, 1, 1, 0, 1, 0, 2, 1, 2, 4, 0, 3, 2, 3, 0, 2, 2, 2, 1, 0, 3, 1, 0, 4, 0, 2, 2, 4, 2, 3, 1, 1, 2, 3, 4, 1, 2, 2, 2, 0, 2, 4, 0, 3, 0, 1, 3, 3, 0, 4, 0, 3, 2, 1, 4, 3, 3, 2, 0, 0, 3, 4, 1, 3, 4, 2, 3, 1, 1, 3, 0, 1, 1, 4, 0, 4, 0, 1, 4, 1, 1, 2, 1, 2, 1, 3, 1] pubkeycol1173 = [0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 3, 4, 1, 0, 4, 4, 3, 2, 4, 0, 0, 4, 1, 0, 4, 0, 0, 3, 1, 3, 0, 4, 3, 0, 1, 2, 3, 4, 4, 2, 3, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 3, 4, 3, 1, 2, 2, 0, 0, 1, 1, 4, 3, 0, 4, 1, 1, 2, 1, 3, 3, 1, 2, 2, 3, 1, 3, 1, 1, 1, 2, 4, 1, 3, 1, 1, 1, 1, 3, 4, 0, 1, 1, 0, 0, 3, 1, 2, 4, 4, 1, 3, 4, 3, 3, 3, 0, 0, 2, 1, 3, 1, 4, 4, 4, 0, 3, 0, 0, 1, 4, 4, 4, 4, 0, 1, 1, 2, 4, 3, 4, 2, 1, 4, 0, 4, 1, 0, 1, 2, 0, 0, 0, 4, 3, 2, 4, 2, 1, 0, 0, 3, 4, 3, 4, 0, 3, 4, 3, 1, 4, 1, 3, 4, 1, 1, 4, 4, 3, 3, 3, 1, 0, 4, 4, 1, 1, 0, 0, 4, 0, 0, 2, 3, 4, 2, 2, 0, 2, 1, 2, 0, 3, 4, 4, 1, 2, 3, 3, 0, 4, 3, 1, 1, 3, 2, 4, 4, 0, 2, 0, 0, 4, 3, 1, 2, 3, 0, 4, 4, 4, 1, 0, 4, 1, 4, 2, 4, 4, 1, 3, 3, 0, 2, 4, 3, 4, 2, 3, 3, 0, 0, 3, 1, 4, 0, 3, 3, 4, 2, 0, 0, 2, 3, 4, 3, 3, 2, 0, 1, 4, 2, 1, 1, 0, 1, 3, 3, 2, 4, 2, 1, 1, 4, 4, 2, 2, 0, 2, 0, 1, 0, 1, 3, 2, 3, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 3, 3, 2, 3, 1, 1, 3, 4, 4, 3, 1, 3, 1, 2, 2, 3, 2, 0, 4, 3, 2, 4, 4, 0, 4, 1, 4, 0, 3, 4, 3, 1, 1, 2, 0, 4, 0, 0, 3, 4, 3, 0, 4, 0, 4, 2, 1, 4, 3, 2, 2, 3, 1, 3, 0, 2, 3, 0, 4, 4, 2, 0, 4, 3, 1, 0, 2, 4, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 0, 1, 1, 0, 2, 3, 2, 3, 2] pubkeycol1174 = [1, 2, 0, 4, 2, 0, 4, 3, 4, 2, 4, 0, 3, 3, 1, 1, 3, 1, 4, 1, 3, 0, 1, 0, 3, 3, 1, 0, 2, 0, 3, 3, 1, 3, 2, 0, 1, 0, 0, 3, 2, 3, 2, 1, 2, 1, 0, 0, 4, 3, 2, 1, 3, 3, 4, 3, 3, 3, 4, 2, 2, 3, 0, 1, 0, 2, 1, 0, 4, 3, 0, 0, 1, 0, 3, 2, 1, 4, 4, 1, 3, 2, 1, 0, 0, 2, 4, 1, 4, 0, 4, 2, 4, 3, 2, 1, 0, 0, 2, 1, 2, 4, 1, 0, 1, 2, 3, 0, 0, 4, 4, 2, 1, 3, 3, 3, 2, 3, 2, 3, 4, 0, 1, 3, 3, 2, 3, 1, 0, 4, 0, 0, 3, 0, 3, 3, 3, 0, 3, 2, 0, 1, 3, 0, 2, 1, 3, 2, 1, 2, 0, 4, 1, 0, 1, 2, 0, 0, 4, 4, 0, 0, 4, 2, 4, 1, 0, 2, 3, 1, 1, 2, 4, 3, 1, 3, 2, 4, 4, 3, 3, 2, 4, 4, 2, 0, 2, 2, 1, 4, 3, 4, 3, 2, 4, 4, 2, 4, 0, 4, 0, 1, 3, 1, 0, 3, 0, 1, 2, 3, 2, 4, 0, 0, 4, 4, 3, 0, 2, 1, 4, 2, 0, 4, 0, 0, 3, 2, 0, 0, 4, 2, 4, 4, 1, 2, 2, 0, 3, 3, 2, 1, 4, 3, 1, 4, 2, 2, 3, 2, 3, 3, 1, 2, 0, 0, 2, 3, 0, 3, 1, 2, 0, 1, 4, 1, 2, 4, 3, 4, 4, 0, 4, 4, 2, 4, 0, 3, 1, 1, 3, 0, 1, 4, 1, 0, 4, 0, 4, 2, 2, 0, 1, 4, 0, 0, 1, 0, 3, 0, 2, 1, 4, 3, 1, 3, 4, 0, 2, 3, 2, 4, 1, 4, 3, 0, 3, 0, 4, 3, 2, 2, 4, 0, 1, 2, 3, 1, 3, 4, 0, 4, 0, 0, 3, 3, 2, 0, 4, 2, 3, 1, 3, 4, 4, 4, 2, 0, 2, 4, 4, 2, 3, 2, 3, 0, 4, 0, 3, 1, 1, 3, 1, 3, 3, 3, 2, 2, 3, 4, 0, 2, 4, 0, 1, 0, 2, 3, 1, 2, 1, 0, 0, 4, 1, 2, 1, 0, 3, 1, 0, 2, 1, 0, 1, 4, 3, 2, 0, 1] pubkeycol1175 = [2, 0, 3, 2, 0, 4, 4, 0, 3, 2, 3, 1, 3, 3, 0, 1, 2, 2, 1, 0, 3, 3, 2, 0, 3, 0, 2, 1, 2, 1, 4, 0, 3, 2, 0, 3, 3, 4, 3, 0, 1, 0, 1, 4, 4, 0, 3, 4, 4, 2, 4, 4, 3, 2, 2, 3, 4, 2, 1, 3, 3, 0, 2, 4, 4, 3, 3, 1, 4, 4, 4, 1, 4, 0, 2, 3, 1, 2, 3, 1, 0, 3, 0, 1, 1, 3, 3, 2, 4, 1, 1, 3, 3, 0, 2, 4, 3, 4, 2, 0, 4, 3, 4, 0, 4, 1, 3, 4, 4, 0, 1, 2, 4, 2, 4, 4, 1, 0, 4, 1, 0, 0, 1, 4, 1, 3, 2, 2, 0, 2, 0, 0, 0, 0, 1, 3, 1, 2, 1, 2, 2, 3, 3, 0, 0, 3, 2, 4, 0, 0, 4, 2, 2, 4, 1, 2, 4, 0, 4, 0, 4, 0, 1, 0, 4, 3, 4, 4, 4, 2, 3, 2, 2, 4, 4, 0, 2, 4, 3, 1, 0, 2, 1, 2, 3, 0, 4, 4, 4, 1, 3, 0, 4, 1, 4, 0, 1, 1, 4, 4, 2, 2, 2, 3, 4, 4, 3, 2, 2, 0, 0, 4, 4, 2, 0, 3, 4, 2, 4, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 1, 1, 3, 4, 1, 4, 0, 3, 0, 3, 2, 4, 2, 4, 4, 4, 3, 4, 1, 4, 4, 3, 1, 1, 0, 1, 0, 4, 2, 2, 2, 3, 2, 4, 4, 0, 4, 4, 1, 2, 1, 4, 2, 2, 3, 2, 1, 3, 0, 1, 0, 0, 0, 4, 3, 2, 0, 3, 4, 0, 2, 3, 4, 1, 3, 0, 2, 0, 0, 3, 3, 1, 4, 2, 3, 1, 3, 4, 0, 3, 3, 2, 2, 4, 1, 1, 2, 2, 2, 0, 4, 3, 1, 1, 3, 1, 1, 1, 4, 3, 3, 1, 2, 4, 4, 2, 0, 1, 2, 4, 0, 0, 3, 4, 4, 3, 4, 4, 4, 0, 0, 1, 0, 2, 0, 3, 1, 2, 0, 1, 2, 4, 1, 3, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 3, 4, 3, 4, 0, 1, 1, 4, 3, 4, 1, 3, 3, 3, 0, 2, 1, 0, 4, 4, 1, 4, 0, 3, 4] pubkeycol1176 = [3, 2, 4, 1, 3, 4, 1, 4, 3, 1, 1, 0, 3, 0, 1, 3, 2, 0, 3, 4, 1, 2, 2, 1, 2, 2, 1, 3, 1, 3, 3, 1, 2, 4, 0, 4, 2, 1, 3, 0, 1, 1, 3, 2, 3, 0, 0, 2, 0, 4, 1, 3, 0, 3, 4, 0, 4, 2, 2, 3, 0, 4, 4, 0, 1, 4, 1, 1, 3, 0, 1, 2, 3, 0, 3, 1, 1, 0, 2, 3, 4, 3, 3, 0, 3, 3, 0, 4, 1, 2, 1, 3, 0, 3, 0, 3, 0, 1, 3, 1, 2, 1, 2, 4, 1, 4, 3, 0, 1, 1, 0, 2, 3, 1, 4, 2, 0, 2, 3, 2, 3, 3, 2, 1, 2, 1, 2, 2, 3, 0, 2, 3, 3, 1, 1, 2, 2, 2, 1, 0, 4, 1, 1, 0, 0, 0, 4, 3, 4, 3, 1, 0, 0, 0, 0, 4, 1, 0, 3, 4, 3, 2, 2, 4, 1, 4, 1, 1, 1, 3, 3, 1, 2, 0, 3, 0, 4, 3, 3, 3, 0, 4, 0, 4, 1, 0, 2, 0, 1, 1, 2, 4, 0, 1, 2, 2, 2, 1, 1, 4, 4, 0, 4, 0, 0, 2, 4, 0, 2, 2, 0, 4, 1, 4, 0, 3, 2, 2, 3, 0, 4, 0, 0, 4, 1, 2, 4, 1, 0, 2, 0, 1, 3, 0, 4, 3, 0, 1, 4, 3, 2, 0, 1, 0, 3, 0, 4, 2, 3, 2, 0, 3, 4, 4, 3, 0, 4, 3, 4, 3, 3, 4, 0, 4, 2, 3, 4, 0, 0, 4, 3, 1, 4, 4, 0, 4, 1, 2, 4, 1, 0, 4, 0, 4, 0, 0, 4, 0, 1, 4, 1, 3, 4, 3, 0, 2, 3, 1, 0, 1, 3, 1, 3, 4, 4, 2, 4, 3, 3, 4, 3, 0, 0, 4, 4, 0, 0, 2, 0, 1, 0, 3, 3, 2, 2, 3, 4, 0, 4, 2, 4, 2, 3, 1, 4, 3, 2, 2, 1, 1, 2, 2, 4, 2, 2, 4, 2, 1, 4, 0, 3, 4, 2, 0, 4, 0, 0, 2, 3, 3, 2, 1, 3, 1, 3, 0, 3, 0, 3, 3, 0, 1, 4, 4, 3, 4, 0, 3, 1, 1, 4, 2, 3, 1, 1, 4, 4, 3, 2, 3, 1, 3, 3, 0, 1, 4, 2, 4, 1, 0] pubkeycol1177 = [1, 1, 2, 2, 1, 1, 1, 4, 0, 0, 4, 3, 3, 0, 1, 1, 3, 1, 0, 1, 2, 2, 2, 4, 3, 1, 2, 4, 2, 3, 1, 2, 4, 0, 1, 4, 3, 1, 0, 3, 1, 4, 2, 2, 0, 4, 0, 3, 1, 3, 0, 3, 0, 4, 2, 4, 0, 1, 4, 2, 3, 0, 2, 4, 4, 1, 3, 1, 2, 4, 2, 2, 1, 2, 1, 0, 0, 2, 1, 3, 3, 0, 1, 2, 0, 1, 0, 3, 4, 3, 2, 1, 4, 2, 3, 0, 1, 3, 2, 2, 0, 0, 0, 2, 2, 1, 0, 3, 1, 4, 3, 4, 4, 4, 2, 2, 2, 3, 4, 0, 4, 0, 4, 0, 0, 3, 2, 0, 0, 2, 1, 0, 4, 3, 2, 0, 1, 0, 0, 0, 1, 4, 2, 0, 2, 3, 3, 3, 4, 0, 3, 4, 0, 4, 1, 4, 3, 2, 4, 3, 0, 4, 2, 3, 1, 0, 0, 1, 3, 0, 2, 0, 4, 4, 3, 3, 4, 4, 0, 1, 2, 0, 0, 3, 3, 4, 2, 0, 1, 2, 3, 1, 3, 0, 1, 4, 3, 0, 3, 4, 0, 4, 3, 4, 3, 0, 0, 3, 2, 4, 0, 2, 3, 2, 2, 4, 3, 3, 2, 1, 4, 3, 2, 2, 1, 3, 2, 3, 1, 0, 4, 4, 1, 0, 0, 2, 2, 0, 3, 1, 3, 4, 3, 3, 1, 2, 3, 3, 2, 2, 1, 1, 4, 2, 3, 1, 2, 3, 0, 3, 3, 1, 4, 1, 1, 1, 0, 2, 2, 2, 4, 1, 3, 1, 1, 4, 2, 2, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 0, 0, 4, 1, 2, 4, 3, 4, 1, 2, 3, 1, 0, 0, 0, 2, 3, 1, 3, 4, 1, 2, 0, 0, 1, 0, 3, 4, 4, 3, 4, 1, 4, 2, 1, 3, 0, 1, 2, 2, 4, 1, 3, 0, 3, 3, 2, 1, 0, 3, 1, 4, 2, 4, 3, 4, 3, 2, 1, 1, 2, 3, 4, 4, 0, 4, 1, 4, 3, 0, 3, 4, 0, 3, 1, 0, 1, 1, 0, 0, 1, 4, 0, 2, 1, 2, 2, 0, 4, 3, 0, 2, 4, 0, 1, 0, 4, 4, 2, 2, 0, 0, 2, 3, 3, 2, 4, 4, 2, 4, 1, 0] pubkeycol1178 = [2, 2, 4, 3, 1, 2, 0, 3, 1, 4, 3, 2, 4, 2, 2, 4, 1, 4, 1, 4, 4, 3, 2, 4, 2, 3, 4, 0, 1, 2, 4, 0, 4, 4, 4, 3, 4, 2, 1, 4, 3, 1, 2, 2, 1, 4, 4, 2, 2, 2, 0, 4, 3, 2, 4, 0, 3, 1, 2, 1, 3, 4, 2, 1, 0, 2, 4, 4, 4, 0, 1, 1, 3, 4, 3, 1, 1, 0, 3, 0, 3, 2, 3, 3, 0, 2, 2, 4, 3, 3, 0, 4, 3, 3, 1, 4, 3, 1, 0, 4, 3, 2, 2, 1, 2, 3, 2, 2, 3, 3, 4, 2, 4, 1, 0, 1, 4, 1, 3, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 3, 4, 4, 2, 1, 0, 3, 4, 0, 1, 0, 3, 4, 1, 4, 1, 3, 4, 3, 2, 4, 1, 0, 2, 3, 3, 3, 1, 0, 4, 1, 2, 3, 1, 2, 4, 4, 4, 2, 2, 3, 0, 1, 3, 3, 2, 4, 4, 1, 0, 2, 3, 2, 4, 1, 4, 1, 1, 4, 0, 0, 3, 4, 2, 1, 2, 1, 0, 3, 3, 1, 2, 0, 4, 4, 1, 3, 0, 3, 3, 2, 0, 0, 0, 2, 1, 1, 3, 0, 1, 1, 0, 4, 1, 4, 2, 4, 2, 1, 0, 0, 3, 4, 4, 4, 2, 0, 1, 0, 0, 0, 0, 0, 2, 3, 1, 0, 4, 2, 1, 3, 2, 1, 2, 2, 2, 4, 1, 3, 0, 3, 4, 0, 2, 0, 1, 3, 0, 1, 4, 2, 3, 2, 2, 1, 0, 2, 0, 2, 4, 1, 4, 1, 1, 4, 0, 2, 0, 0, 2, 0, 4, 0, 1, 1, 4, 2, 1, 0, 4, 0, 0, 3, 4, 1, 1, 1, 3, 3, 3, 3, 3, 2, 1, 2, 1, 3, 4, 0, 4, 1, 1, 3, 2, 3, 0, 2, 4, 1, 3, 1, 2, 2, 0, 4, 1, 0, 2, 2, 2, 1, 4, 1, 3, 3, 3, 2, 2, 1, 4, 4, 0, 1, 4, 4, 2, 0, 0, 1, 2, 4, 3, 0, 1, 0, 4, 1, 2, 1, 4, 3, 3, 0, 2, 4, 1, 0, 3, 2, 1, 4, 4, 4, 0, 4, 2, 3, 2, 3, 1, 1, 2, 1, 3, 0, 3, 2, 2, 1, 3] pubkeycol1179 = [1, 4, 4, 3, 2, 1, 0, 3, 3, 3, 4, 3, 2, 0, 1, 1, 4, 2, 3, 3, 3, 4, 3, 3, 2, 2, 3, 4, 1, 0, 1, 2, 0, 0, 4, 2, 2, 4, 1, 4, 2, 3, 3, 4, 1, 3, 2, 1, 1, 1, 1, 1, 4, 0, 0, 3, 1, 2, 1, 0, 0, 2, 3, 3, 4, 3, 0, 4, 2, 3, 3, 1, 4, 2, 4, 1, 3, 4, 1, 3, 3, 3, 0, 0, 0, 1, 4, 4, 4, 1, 2, 3, 3, 0, 0, 2, 2, 4, 1, 3, 2, 0, 3, 0, 4, 0, 4, 3, 0, 4, 3, 4, 0, 4, 3, 1, 3, 3, 4, 2, 3, 4, 1, 3, 1, 4, 1, 3, 2, 0, 1, 4, 3, 2, 3, 3, 0, 1, 1, 3, 0, 2, 3, 0, 1, 2, 3, 2, 2, 4, 2, 1, 1, 2, 3, 4, 4, 3, 0, 1, 2, 2, 0, 0, 4, 3, 0, 1, 4, 1, 1, 4, 2, 4, 3, 4, 3, 4, 2, 3, 1, 2, 0, 0, 0, 3, 3, 4, 4, 4, 3, 3, 0, 1, 2, 0, 3, 4, 3, 3, 4, 1, 2, 1, 2, 4, 3, 3, 2, 0, 3, 3, 0, 0, 3, 1, 2, 0, 1, 3, 0, 4, 3, 0, 1, 3, 1, 4, 2, 0, 0, 0, 3, 0, 1, 2, 2, 0, 4, 0, 1, 1, 4, 0, 4, 3, 0, 4, 0, 2, 1, 2, 3, 0, 2, 3, 1, 2, 4, 1, 0, 4, 0, 1, 4, 2, 3, 1, 1, 4, 3, 1, 2, 4, 1, 3, 3, 0, 1, 0, 4, 2, 1, 0, 1, 3, 3, 4, 4, 0, 4, 1, 0, 2, 3, 0, 3, 0, 2, 0, 0, 4, 2, 0, 0, 3, 0, 2, 2, 0, 2, 4, 0, 0, 2, 3, 0, 0, 3, 1, 1, 0, 1, 3, 0, 3, 2, 0, 4, 3, 2, 4, 0, 4, 1, 3, 1, 2, 4, 2, 0, 4, 0, 1, 1, 0, 3, 2, 4, 1, 0, 0, 1, 3, 0, 0, 0, 2, 3, 4, 0, 4, 0, 4, 2, 0, 1, 1, 4, 2, 2, 0, 2, 2, 4, 0, 0, 4, 0, 0, 2, 4, 1, 2, 2, 3, 4, 2, 1, 3, 1, 0, 2, 1, 2, 3, 2, 1, 4, 3] pubkeycol1180 = [2, 4, 4, 4, 3, 0, 4, 1, 2, 4, 0, 2, 0, 3, 4, 1, 1, 3, 3, 2, 1, 0, 2, 1, 1, 0, 4, 2, 2, 0, 2, 2, 4, 3, 4, 3, 3, 4, 3, 3, 4, 0, 3, 3, 3, 2, 0, 2, 3, 2, 1, 2, 2, 3, 2, 4, 3, 2, 3, 4, 2, 1, 3, 4, 2, 2, 3, 4, 2, 3, 1, 3, 1, 4, 3, 0, 3, 1, 4, 1, 4, 2, 1, 0, 0, 0, 3, 3, 4, 1, 4, 4, 4, 2, 0, 3, 2, 0, 4, 2, 3, 0, 1, 0, 2, 3, 2, 1, 1, 3, 1, 1, 3, 4, 1, 4, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 1, 1, 0, 1, 0, 4, 2, 2, 4, 1, 1, 4, 0, 4, 4, 4, 1, 4, 4, 0, 4, 2, 2, 3, 3, 1, 4, 0, 3, 4, 4, 0, 0, 4, 3, 1, 3, 0, 2, 4, 0, 0, 0, 0, 0, 4, 4, 1, 4, 2, 0, 2, 4, 0, 2, 1, 3, 2, 2, 2, 1, 2, 2, 4, 0, 4, 0, 4, 3, 1, 2, 4, 3, 1, 1, 4, 0, 1, 2, 0, 3, 3, 3, 4, 2, 3, 1, 4, 1, 3, 1, 3, 2, 4, 0, 1, 0, 4, 3, 3, 1, 4, 3, 3, 2, 4, 3, 3, 0, 4, 4, 3, 1, 4, 4, 0, 4, 3, 1, 0, 2, 2, 2, 0, 2, 1, 4, 1, 0, 2, 0, 1, 1, 2, 4, 2, 0, 4, 0, 2, 1, 3, 3, 0, 4, 4, 2, 4, 4, 1, 4, 2, 2, 2, 0, 1, 3, 0, 0, 4, 2, 0, 3, 2, 1, 0, 2, 3, 1, 3, 3, 4, 1, 3, 3, 1, 3, 3, 0, 2, 0, 0, 2, 1, 0, 0, 4, 0, 3, 0, 1, 4, 3, 3, 2, 2, 3, 3, 1, 2, 1, 4, 3, 0, 3, 0, 2, 1, 2, 2, 4, 4, 0, 4, 1, 1, 2, 4, 1, 2, 4, 2, 4, 4, 4, 4, 0, 3, 4, 4, 3, 0, 2, 4, 1, 2, 3, 2, 0, 4, 0, 0, 1, 3, 0, 2, 2, 2, 1, 2, 0, 1, 3, 0, 1, 2, 2, 1, 4, 0, 4, 1, 3, 0, 2, 4, 0, 2, 1, 3, 4, 2, 4, 3] pubkeycol1181 = [0, 2, 3, 0, 4, 0, 1, 0, 0, 0, 3, 1, 4, 0, 1, 1, 1, 0, 0, 3, 3, 3, 2, 4, 1, 1, 1, 4, 3, 1, 1, 2, 2, 3, 1, 0, 4, 3, 2, 4, 1, 1, 4, 2, 1, 0, 1, 0, 3, 3, 2, 4, 0, 1, 4, 4, 0, 2, 3, 2, 0, 0, 4, 2, 4, 4, 2, 4, 4, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 0, 2, 0, 1, 2, 0, 4, 4, 0, 0, 2, 3, 0, 0, 0, 1, 2, 2, 1, 1, 3, 3, 0, 1, 4, 4, 0, 1, 4, 3, 2, 3, 2, 3, 3, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 3, 0, 2, 1, 4, 0, 4, 2, 0, 1, 3, 2, 0, 2, 0, 1, 1, 0, 2, 4, 4, 0, 1, 0, 1, 1, 1, 1, 0, 3, 3, 1, 0, 3, 1, 2, 1, 1, 1, 4, 0, 0, 3, 4, 4, 2, 1, 3, 1, 2, 3, 2, 1, 2, 2, 4, 3, 0, 4, 2, 3, 3, 0, 0, 1, 0, 4, 4, 4, 2, 0, 1, 1, 4, 1, 4, 0, 4, 2, 0, 4, 4, 3, 1, 2, 0, 1, 3, 4, 4, 3, 3, 1, 1, 4, 4, 3, 2, 4, 2, 4, 2, 1, 0, 1, 1, 4, 1, 4, 0, 4, 0, 4, 4, 1, 1, 3, 3, 2, 0, 2, 4, 0, 3, 4, 0, 3, 2, 0, 3, 1, 4, 4, 0, 1, 2, 0, 1, 1, 4, 3, 0, 1, 2, 3, 2, 4, 4, 4, 0, 1, 3, 0, 3, 2, 3, 4, 1, 2, 1, 0, 1, 3, 3, 0, 1, 3, 2, 0, 4, 1, 1, 2, 2, 4, 2, 2, 0, 1, 0, 1, 3, 1, 1, 1, 4, 0, 4, 2, 0, 3, 3, 2, 2, 2, 1, 4, 3, 4, 1, 1, 0, 3, 4, 0, 4, 3, 3, 0, 3, 4, 4, 2, 3, 3, 3, 3, 0, 2, 1, 0, 3, 2, 4, 1, 4, 4, 2, 0, 3, 1, 2, 1, 3, 1, 4, 2, 2, 0, 1, 1, 3, 4, 4, 0, 3, 4, 1, 0, 1, 2, 3, 3, 1, 4, 4, 0, 1, 1, 0, 3, 4, 4, 3, 0, 1, 1, 3, 1, 4, 1, 1, 0, 1, 3, 1] pubkeycol1182 = [0, 1, 4, 0, 1, 0, 0, 1, 4, 2, 1, 1, 4, 3, 3, 1, 0, 4, 1, 1, 3, 2, 4, 2, 3, 0, 0, 2, 3, 3, 0, 2, 0, 4, 2, 2, 1, 0, 0, 1, 4, 2, 1, 2, 4, 2, 2, 4, 1, 0, 4, 1, 4, 3, 4, 3, 0, 1, 3, 1, 0, 1, 4, 0, 1, 4, 4, 3, 3, 4, 3, 1, 1, 3, 2, 0, 2, 3, 1, 0, 3, 0, 4, 3, 3, 0, 4, 3, 0, 0, 1, 4, 3, 3, 3, 2, 4, 2, 2, 2, 0, 4, 3, 0, 1, 2, 1, 2, 4, 1, 4, 3, 2, 1, 1, 2, 0, 0, 2, 4, 3, 4, 1, 4, 0, 0, 1, 2, 0, 4, 0, 2, 2, 1, 0, 3, 3, 1, 0, 3, 2, 1, 3, 4, 0, 3, 3, 4, 4, 1, 1, 4, 2, 4, 3, 2, 2, 0, 3, 4, 4, 1, 2, 1, 1, 3, 1, 4, 1, 3, 3, 0, 3, 1, 3, 0, 1, 3, 0, 1, 3, 1, 0, 0, 2, 1, 0, 1, 1, 4, 4, 2, 0, 4, 4, 2, 4, 2, 1, 4, 1, 2, 3, 3, 3, 4, 3, 2, 0, 2, 3, 1, 1, 1, 4, 3, 4, 4, 2, 4, 0, 0, 0, 1, 0, 1, 4, 1, 4, 0, 2, 0, 1, 2, 1, 2, 2, 1, 4, 0, 3, 2, 1, 0, 4, 2, 3, 4, 4, 3, 1, 4, 0, 1, 1, 1, 4, 2, 3, 2, 1, 3, 3, 4, 3, 3, 4, 2, 0, 4, 1, 1, 4, 0, 4, 1, 0, 0, 3, 2, 0, 4, 4, 4, 3, 0, 1, 3, 1, 4, 4, 0, 3, 1, 1, 1, 2, 0, 3, 1, 1, 4, 3, 2, 4, 3, 0, 3, 2, 4, 1, 1, 1, 3, 3, 2, 0, 3, 0, 3, 4, 3, 2, 3, 4, 3, 2, 4, 4, 3, 4, 2, 3, 2, 1, 0, 4, 0, 4, 3, 2, 3, 3, 4, 3, 1, 3, 4, 4, 0, 2, 1, 3, 0, 3, 1, 4, 3, 3, 4, 3, 4, 1, 1, 4, 3, 0, 2, 0, 2, 1, 4, 1, 4, 3, 4, 0, 0, 4, 2, 0, 3, 0, 3, 3, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 4, 2, 1, 1, 1] pubkeycol1183 = [3, 3, 2, 0, 2, 0, 3, 4, 2, 4, 0, 2, 3, 1, 4, 1, 0, 0, 2, 4, 3, 2, 4, 0, 0, 2, 3, 1, 2, 4, 3, 3, 1, 1, 3, 0, 0, 1, 4, 1, 2, 0, 0, 4, 1, 3, 3, 3, 0, 1, 2, 3, 0, 3, 1, 3, 1, 2, 3, 3, 2, 0, 4, 1, 1, 3, 2, 2, 3, 1, 2, 2, 3, 1, 1, 2, 3, 3, 1, 2, 3, 4, 4, 3, 4, 3, 2, 0, 2, 2, 0, 3, 3, 0, 3, 0, 1, 0, 3, 4, 1, 1, 3, 2, 0, 0, 1, 3, 3, 1, 0, 4, 1, 4, 4, 0, 3, 3, 4, 4, 0, 4, 4, 4, 1, 3, 3, 2, 2, 3, 4, 2, 4, 4, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 4, 1, 1, 0, 2, 0, 2, 4, 3, 0, 0, 4, 2, 2, 0, 1, 0, 0, 4, 2, 3, 1, 0, 0, 3, 2, 1, 3, 4, 4, 1, 0, 2, 1, 2, 2, 1, 1, 1, 4, 4, 4, 3, 2, 2, 0, 4, 4, 2, 1, 3, 2, 2, 1, 3, 0, 3, 0, 3, 1, 3, 2, 4, 0, 4, 1, 0, 2, 4, 0, 0, 4, 1, 3, 0, 1, 2, 0, 1, 3, 4, 0, 2, 0, 0, 0, 1, 0, 1, 3, 1, 2, 3, 0, 3, 0, 1, 2, 2, 2, 4, 4, 2, 3, 4, 1, 1, 2, 2, 4, 1, 2, 4, 3, 4, 4, 2, 4, 0, 4, 4, 2, 4, 3, 2, 0, 4, 0, 1, 2, 4, 0, 2, 1, 0, 2, 2, 4, 2, 0, 0, 1, 2, 2, 3, 0, 4, 0, 3, 2, 3, 2, 1, 2, 1, 0, 1, 0, 3, 1, 4, 0, 1, 2, 3, 0, 1, 0, 0, 4, 3, 0, 4, 2, 1, 4, 4, 0, 0, 3, 0, 1, 2, 4, 3, 4, 4, 1, 4, 4, 3, 0, 0, 1, 1, 4, 2, 4, 3, 1, 2, 3, 0, 3, 3, 2, 1, 2, 2, 3, 1, 2, 0, 0, 2, 3, 0, 0, 4, 1, 2, 1, 3, 2, 4, 0, 4, 0, 4, 3, 2, 1, 0, 1, 3, 4, 3, 0, 2, 3, 0, 2, 4, 3, 2, 2, 4, 4, 0, 0, 1, 2] pubkeycol1184 = [1, 4, 1, 4, 0, 1, 3, 4, 2, 1, 2, 4, 0, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 0, 3, 2, 2, 0, 1, 3, 1, 3, 2, 0, 2, 4, 4, 2, 2, 0, 1, 4, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 4, 0, 4, 0, 2, 0, 0, 3, 2, 1, 1, 3, 1, 1, 3, 3, 1, 1, 4, 4, 3, 4, 1, 3, 1, 0, 0, 2, 2, 1, 1, 4, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 3, 2, 3, 3, 4, 3, 1, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 0, 0, 3, 0, 2, 3, 4, 4, 4, 3, 3, 2, 2, 2, 0, 1, 1, 4, 0, 2, 4, 0, 3, 2, 2, 2, 1, 3, 3, 2, 2, 1, 2, 3, 2, 1, 3, 3, 1, 3, 0, 0, 0, 4, 2, 3, 2, 3, 2, 4, 3, 2, 3, 2, 0, 1, 2, 4, 1, 0, 1, 3, 4, 0, 4, 1, 1, 0, 4, 3, 2, 3, 1, 3, 3, 4, 0, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 4, 0, 1, 4, 4, 4, 1, 3, 3, 1, 2, 3, 1, 1, 0, 2, 2, 0, 1, 0, 1, 3, 0, 3, 4, 4, 1, 2, 0, 4, 0, 3, 1, 2, 4, 3, 0, 4, 0, 1, 1, 0, 2, 0, 2, 3, 1, 2, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 0, 4, 0, 2, 0, 0, 4, 1, 0, 0, 1, 1, 2, 0, 3, 2, 3, 0, 4, 2, 1, 1, 4, 0, 1, 2, 4, 4, 3, 3, 4, 0, 0, 0, 4, 3, 2, 4, 2, 0, 4, 1, 2, 3, 2, 2, 1, 4, 2, 2, 2, 1, 2, 0, 4, 1, 1, 3, 0, 1, 4, 2, 2, 0, 3, 1, 0, 4, 0, 1, 3, 1, 2, 2, 2, 4, 2, 4, 0, 2, 0, 1, 1, 1, 0, 3, 3, 0, 0, 1, 2, 4, 0, 1, 2, 4, 4, 4, 2, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 4, 4, 2, 0, 2, 0, 3, 1, 1, 2, 3, 4, 3, 4, 1, 1, 1, 2, 3, 1, 1, 3, 1, 2, 0, 2, 0, 0, 4, 2, 1, 1] pubkeycol1185 = [1, 3, 4, 0, 0, 1, 0, 0, 1, 0, 1, 1, 4, 2, 2, 3, 4, 1, 3, 0, 4, 1, 2, 4, 4, 3, 2, 2, 4, 1, 1, 1, 2, 2, 3, 0, 4, 1, 4, 0, 4, 0, 3, 4, 3, 2, 3, 1, 2, 4, 4, 2, 4, 0, 0, 3, 0, 0, 0, 0, 2, 2, 3, 2, 3, 0, 1, 4, 0, 0, 2, 0, 1, 1, 3, 0, 0, 2, 1, 2, 2, 0, 4, 1, 4, 1, 2, 3, 4, 1, 1, 0, 1, 1, 2, 3, 1, 4, 0, 1, 4, 3, 4, 4, 1, 3, 3, 3, 0, 2, 2, 1, 4, 0, 1, 0, 1, 3, 4, 2, 1, 3, 3, 3, 3, 4, 3, 4, 0, 3, 3, 0, 1, 0, 4, 2, 3, 1, 3, 4, 0, 1, 4, 0, 1, 0, 0, 0, 0, 2, 1, 4, 3, 0, 3, 4, 1, 1, 3, 4, 4, 4, 1, 1, 0, 0, 0, 0, 2, 3, 3, 3, 3, 4, 3, 2, 1, 2, 2, 2, 2, 4, 3, 2, 2, 4, 3, 4, 1, 3, 4, 4, 1, 3, 4, 1, 2, 4, 2, 2, 3, 0, 3, 4, 0, 1, 1, 3, 0, 1, 0, 3, 4, 1, 4, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 1, 1, 4, 2, 0, 4, 1, 1, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 0, 0, 0, 0, 2, 3, 3, 2, 1, 1, 3, 0, 3, 2, 4, 4, 2, 1, 2, 4, 1, 2, 1, 3, 1, 2, 3, 1, 4, 1, 0, 1, 4, 4, 0, 3, 1, 3, 0, 4, 3, 3, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 4, 3, 3, 4, 3, 2, 1, 4, 4, 3, 3, 2, 1, 0, 4, 0, 2, 0, 2, 4, 0, 3, 0, 4, 3, 0, 2, 3, 1, 4, 0, 3, 3, 4, 1, 1, 2, 4, 3, 2, 4, 3, 0, 4, 4, 2, 1, 1, 2, 2, 4, 2, 1, 4, 3, 1, 0, 4, 3, 2, 3, 3, 2, 4, 2, 2, 2, 1, 4, 1, 1, 4, 0, 3, 3, 0, 1, 0, 0, 0, 1, 4, 4, 4, 4, 0, 2, 4, 0, 3, 0, 1, 3, 4, 0, 4, 2, 2, 4, 0, 3, 0] pubkeycol1186 = [2, 1, 0, 2, 0, 2, 2, 1, 4, 0, 4, 0, 4, 3, 4, 2, 3, 2, 4, 1, 0, 1, 3, 0, 3, 4, 3, 2, 0, 4, 2, 1, 1, 4, 0, 3, 1, 2, 2, 0, 2, 0, 3, 1, 1, 3, 1, 3, 4, 0, 2, 0, 4, 3, 4, 4, 1, 2, 3, 1, 2, 3, 0, 4, 0, 1, 4, 4, 3, 3, 2, 1, 3, 0, 2, 0, 2, 3, 3, 0, 0, 4, 1, 4, 4, 0, 1, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 1, 3, 3, 2, 4, 2, 2, 0, 1, 4, 3, 2, 0, 0, 4, 2, 2, 3, 2, 1, 4, 0, 0, 1, 3, 1, 1, 1, 2, 3, 0, 1, 1, 1, 1, 2, 3, 2, 4, 1, 4, 3, 1, 4, 3, 3, 1, 0, 2, 3, 4, 2, 3, 4, 0, 0, 1, 0, 3, 3, 0, 1, 1, 2, 4, 4, 3, 2, 2, 2, 1, 1, 3, 2, 0, 4, 1, 4, 0, 0, 4, 3, 3, 1, 2, 4, 1, 3, 1, 3, 3, 1, 4, 3, 1, 0, 4, 3, 0, 3, 0, 0, 1, 2, 3, 2, 1, 0, 1, 4, 4, 4, 2, 4, 2, 3, 1, 1, 2, 4, 3, 0, 1, 1, 0, 4, 3, 0, 3, 0, 4, 1, 4, 3, 4, 1, 2, 0, 0, 2, 4, 2, 2, 3, 4, 1, 0, 1, 4, 2, 4, 0, 1, 2, 0, 2, 2, 2, 3, 3, 1, 3, 1, 0, 3, 2, 2, 1, 3, 1, 2, 1, 4, 0, 4, 0, 4, 2, 3, 3, 4, 0, 4, 4, 0, 1, 2, 1, 4, 3, 1, 0, 0, 0, 0, 1, 3, 0, 3, 4, 3, 0, 2, 4, 2, 1, 0, 4, 3, 4, 2, 1, 2, 1, 3, 3, 0, 4, 4, 4, 1, 2, 0, 0, 0, 3, 4, 4, 0, 2, 2, 2, 1, 4, 0, 4, 0, 0, 2, 2, 0, 0, 3, 3, 3, 0, 0, 0, 1, 3, 1, 3, 1, 0, 2, 4, 4, 0, 1, 3, 2, 4, 4, 1, 2, 2, 1, 3, 3, 4, 0, 3, 0, 2, 3, 3, 0, 2, 2, 3, 4, 0, 4, 3, 2, 1, 2, 1, 2, 3, 4, 2, 1, 1, 1, 0, 4, 0, 3, 1, 0, 3, 2] pubkeycol1187 = [0, 3, 0, 3, 1, 0, 2, 3, 1, 1, 0, 2, 2, 1, 0, 3, 4, 0, 1, 0, 4, 0, 4, 2, 2, 0, 4, 4, 4, 0, 0, 0, 3, 4, 2, 0, 3, 1, 2, 2, 0, 1, 0, 4, 1, 2, 2, 3, 4, 3, 3, 1, 0, 0, 4, 1, 2, 4, 1, 1, 0, 2, 4, 1, 4, 2, 4, 3, 1, 2, 2, 4, 4, 2, 3, 2, 0, 4, 0, 2, 2, 0, 3, 1, 4, 0, 4, 1, 1, 1, 0, 0, 2, 3, 1, 4, 0, 3, 3, 0, 0, 2, 3, 0, 4, 2, 3, 2, 0, 0, 2, 4, 1, 4, 3, 0, 2, 1, 3, 1, 3, 1, 0, 3, 0, 2, 1, 0, 2, 4, 2, 4, 2, 1, 2, 2, 0, 4, 2, 3, 3, 0, 4, 2, 3, 3, 2, 3, 1, 0, 3, 4, 4, 3, 4, 0, 3, 2, 1, 0, 3, 4, 1, 2, 3, 1, 4, 1, 4, 3, 2, 0, 3, 4, 4, 2, 0, 2, 2, 4, 4, 4, 3, 0, 1, 2, 1, 1, 1, 4, 0, 0, 2, 3, 0, 4, 4, 1, 4, 2, 4, 4, 3, 2, 1, 0, 4, 3, 1, 2, 2, 2, 3, 0, 0, 0, 3, 0, 1, 1, 0, 2, 1, 3, 1, 2, 2, 3, 3, 2, 3, 4, 1, 1, 0, 3, 4, 3, 1, 0, 0, 2, 0, 4, 0, 2, 1, 4, 4, 4, 4, 1, 2, 3, 4, 1, 3, 4, 3, 0, 3, 1, 0, 1, 0, 4, 2, 1, 4, 4, 3, 4, 4, 0, 2, 0, 2, 1, 3, 3, 0, 3, 4, 0, 4, 1, 0, 3, 0, 0, 3, 1, 3, 2, 0, 0, 0, 1, 0, 4, 2, 4, 2, 4, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 4, 1, 1, 1, 0, 1, 1, 3, 1, 0, 1, 3, 0, 4, 3, 3, 1, 3, 4, 4, 1, 3, 0, 0, 0, 0, 2, 0, 0, 1, 1, 3, 3, 0, 0, 2, 3, 3, 1, 2, 3, 4, 1, 2, 3, 4, 0, 2, 2, 0, 2, 4, 2, 0, 3, 1, 1, 2, 2, 4, 0, 2, 4, 3, 0, 0, 2, 1, 3, 2, 3, 1, 1, 3, 0, 0, 2, 0, 0, 0, 3, 4] pubkeycol1188 = [2, 2, 2, 2, 2, 4, 3, 0, 1, 2, 2, 3, 4, 1, 2, 3, 2, 4, 4, 0, 4, 4, 4, 0, 2, 1, 2, 0, 3, 1, 2, 0, 3, 0, 1, 0, 1, 0, 3, 3, 3, 4, 1, 0, 3, 4, 1, 3, 0, 0, 3, 0, 3, 4, 0, 1, 4, 1, 0, 1, 4, 0, 4, 2, 4, 4, 4, 1, 3, 4, 2, 3, 4, 4, 3, 2, 2, 3, 1, 2, 3, 3, 2, 1, 3, 4, 3, 1, 1, 1, 3, 4, 2, 1, 1, 3, 1, 0, 4, 2, 3, 0, 1, 1, 2, 1, 3, 2, 0, 3, 0, 0, 4, 2, 3, 4, 0, 0, 3, 0, 2, 3, 0, 3, 2, 4, 4, 4, 2, 0, 2, 4, 1, 2, 3, 4, 4, 4, 2, 3, 1, 1, 0, 0, 0, 4, 2, 3, 0, 0, 3, 2, 1, 0, 1, 2, 4, 2, 1, 2, 1, 1, 2, 2, 2, 2, 4, 2, 2, 4, 3, 1, 1, 3, 4, 3, 0, 0, 4, 1, 4, 3, 0, 0, 3, 4, 2, 3, 3, 2, 1, 1, 2, 0, 2, 3, 2, 1, 3, 0, 4, 0, 4, 2, 1, 0, 2, 1, 1, 3, 3, 2, 1, 4, 2, 3, 2, 0, 3, 1, 0, 2, 4, 1, 3, 0, 2, 0, 0, 0, 1, 2, 3, 4, 4, 0, 3, 0, 0, 4, 1, 1, 1, 1, 0, 2, 4, 1, 3, 0, 1, 2, 3, 0, 0, 2, 0, 0, 4, 0, 3, 2, 2, 1, 1, 3, 3, 1, 3, 2, 3, 1, 0, 0, 4, 2, 1, 2, 0, 1, 3, 0, 3, 1, 3, 3, 1, 3, 0, 2, 3, 4, 2, 4, 2, 1, 1, 4, 2, 0, 2, 2, 2, 1, 3, 3, 1, 2, 4, 0, 4, 4, 1, 1, 2, 1, 2, 0, 4, 2, 1, 1, 3, 3, 3, 1, 1, 2, 0, 4, 3, 4, 0, 0, 4, 0, 2, 2, 2, 1, 4, 2, 1, 4, 2, 4, 3, 0, 0, 0, 3, 4, 2, 0, 0, 4, 1, 0, 3, 0, 4, 3, 0, 4, 0, 1, 3, 3, 0, 0, 2, 4, 0, 1, 4, 0, 1, 2, 2, 4, 4, 1, 2, 1, 4, 1, 2, 1, 1, 1, 3, 1, 1, 4, 1, 1, 0, 0, 1, 0] pubkeycol1189 = [4, 3, 2, 1, 1, 3, 3, 2, 3, 0, 4, 3, 2, 0, 2, 3, 2, 3, 2, 4, 4, 1, 1, 4, 2, 4, 0, 4, 2, 1, 1, 3, 0, 4, 4, 3, 2, 3, 0, 1, 0, 0, 4, 2, 3, 2, 1, 0, 2, 4, 4, 0, 2, 0, 0, 1, 1, 4, 3, 1, 3, 4, 4, 4, 1, 1, 2, 1, 1, 0, 0, 1, 2, 3, 1, 2, 3, 0, 1, 2, 0, 3, 0, 1, 1, 4, 1, 3, 3, 0, 1, 0, 3, 3, 3, 4, 1, 3, 2, 3, 3, 1, 1, 1, 1, 0, 4, 4, 1, 3, 3, 4, 2, 1, 3, 4, 1, 3, 0, 1, 0, 2, 0, 3, 3, 3, 4, 1, 0, 3, 2, 2, 3, 2, 2, 4, 1, 0, 0, 1, 3, 2, 3, 4, 3, 1, 2, 1, 4, 1, 0, 1, 3, 3, 4, 1, 4, 1, 0, 4, 0, 1, 0, 1, 3, 0, 3, 3, 4, 1, 0, 2, 4, 1, 0, 1, 1, 0, 3, 2, 1, 4, 4, 1, 1, 2, 4, 1, 2, 1, 0, 3, 3, 1, 3, 2, 3, 2, 3, 3, 0, 4, 2, 1, 1, 0, 2, 3, 2, 4, 4, 3, 0, 0, 1, 3, 2, 2, 0, 1, 3, 4, 0, 4, 2, 3, 2, 4, 3, 0, 0, 2, 0, 2, 3, 1, 0, 2, 4, 4, 2, 0, 2, 4, 2, 1, 1, 1, 0, 1, 2, 0, 2, 4, 0, 3, 1, 1, 3, 0, 2, 2, 4, 2, 4, 4, 2, 0, 3, 2, 3, 1, 1, 0, 4, 1, 2, 3, 0, 1, 1, 3, 4, 3, 2, 3, 3, 1, 2, 2, 1, 3, 2, 4, 2, 4, 0, 4, 4, 0, 0, 3, 3, 2, 4, 1, 4, 0, 2, 0, 3, 1, 2, 1, 2, 1, 3, 4, 3, 4, 1, 4, 1, 4, 3, 3, 0, 3, 2, 2, 0, 0, 4, 1, 2, 2, 4, 3, 0, 1, 3, 3, 3, 2, 4, 1, 1, 1, 0, 3, 4, 0, 4, 1, 0, 0, 1, 2, 3, 4, 3, 3, 4, 0, 3, 4, 2, 0, 1, 2, 0, 4, 1, 0, 3, 4, 0, 4, 4, 1, 0, 0, 2, 0, 3, 1, 0, 3, 0, 2, 1, 3, 1, 3, 2, 4, 4, 0, 3, 4] pubkeycol1190 = [2, 0, 1, 2, 4, 1, 0, 0, 0, 2, 0, 1, 0, 0, 3, 1, 1, 1, 2, 1, 2, 0, 4, 0, 1, 4, 2, 4, 3, 0, 2, 4, 0, 2, 4, 4, 2, 2, 2, 2, 0, 3, 1, 3, 3, 3, 4, 3, 0, 2, 1, 0, 4, 2, 2, 3, 4, 0, 2, 0, 4, 2, 4, 2, 4, 0, 1, 2, 1, 3, 1, 1, 1, 3, 1, 3, 3, 4, 4, 2, 3, 4, 1, 0, 1, 4, 4, 0, 3, 2, 3, 1, 2, 3, 0, 0, 3, 3, 0, 1, 0, 1, 3, 1, 3, 4, 4, 0, 0, 1, 0, 0, 4, 1, 0, 0, 2, 4, 1, 1, 3, 3, 2, 4, 0, 0, 0, 3, 4, 1, 1, 4, 2, 2, 4, 2, 0, 2, 4, 0, 1, 4, 1, 2, 2, 1, 2, 4, 0, 1, 2, 3, 0, 3, 4, 0, 2, 3, 3, 1, 4, 2, 3, 2, 0, 1, 4, 2, 2, 1, 0, 4, 4, 3, 3, 4, 0, 3, 0, 1, 2, 3, 0, 1, 0, 2, 1, 1, 4, 0, 3, 1, 3, 4, 1, 4, 0, 3, 4, 4, 3, 0, 4, 2, 2, 4, 3, 1, 2, 2, 4, 0, 3, 4, 3, 4, 3, 3, 2, 4, 1, 2, 4, 0, 3, 3, 2, 4, 1, 1, 4, 2, 4, 4, 2, 2, 2, 3, 1, 1, 0, 1, 2, 0, 1, 4, 3, 2, 1, 1, 3, 4, 2, 0, 0, 3, 0, 3, 3, 2, 3, 2, 2, 4, 2, 2, 3, 0, 2, 0, 0, 3, 2, 0, 0, 4, 2, 2, 4, 0, 3, 3, 3, 4, 3, 2, 0, 3, 3, 2, 1, 4, 2, 1, 2, 0, 0, 1, 3, 2, 3, 3, 2, 1, 3, 1, 4, 2, 3, 2, 1, 2, 1, 0, 1, 0, 4, 2, 4, 1, 4, 4, 1, 0, 4, 3, 2, 1, 4, 1, 1, 0, 4, 4, 4, 1, 3, 1, 2, 1, 0, 0, 1, 3, 4, 4, 0, 4, 3, 2, 4, 2, 3, 4, 1, 3, 1, 4, 2, 0, 0, 1, 3, 0, 4, 2, 2, 2, 1, 0, 3, 0, 0, 4, 3, 4, 1, 1, 3, 1, 4, 4, 2, 0, 1, 1, 4, 1, 3, 0, 1, 3, 2, 2, 1, 4, 3, 2, 4, 3] pubkeycol1191 = [1, 4, 0, 4, 0, 4, 0, 0, 4, 4, 3, 2, 2, 1, 2, 2, 4, 3, 3, 1, 3, 3, 1, 0, 0, 1, 3, 0, 2, 2, 0, 3, 1, 2, 4, 1, 3, 0, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2, 4, 1, 1, 1, 4, 2, 0, 2, 0, 3, 3, 3, 4, 2, 2, 1, 4, 3, 0, 0, 2, 3, 0, 1, 3, 4, 2, 2, 2, 0, 0, 4, 4, 2, 1, 0, 1, 1, 2, 3, 0, 4, 2, 0, 2, 3, 4, 1, 0, 0, 1, 3, 1, 3, 0, 0, 4, 0, 3, 2, 1, 3, 3, 3, 1, 3, 2, 3, 0, 2, 1, 4, 1, 3, 3, 0, 2, 4, 4, 0, 1, 4, 2, 0, 2, 4, 2, 1, 3, 0, 1, 4, 1, 1, 4, 4, 1, 0, 1, 0, 4, 0, 4, 1, 1, 0, 1, 3, 4, 2, 3, 1, 2, 2, 2, 4, 1, 4, 4, 4, 2, 1, 0, 4, 2, 2, 2, 1, 0, 0, 3, 1, 2, 0, 4, 2, 4, 3, 2, 4, 1, 2, 2, 0, 2, 0, 1, 4, 4, 0, 3, 3, 2, 4, 2, 0, 3, 4, 0, 1, 1, 0, 4, 4, 2, 4, 4, 3, 0, 0, 4, 3, 1, 4, 0, 1, 2, 2, 4, 3, 4, 4, 2, 0, 4, 1, 3, 3, 4, 4, 2, 0, 1, 0, 3, 4, 0, 3, 4, 1, 3, 1, 0, 4, 2, 3, 4, 1, 1, 4, 4, 3, 2, 3, 0, 3, 1, 2, 2, 4, 3, 4, 2, 1, 4, 1, 2, 3, 4, 0, 3, 2, 1, 3, 0, 2, 3, 1, 4, 1, 3, 0, 2, 3, 1, 0, 4, 1, 4, 2, 0, 3, 4, 1, 3, 4, 4, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 1, 4, 4, 1, 2, 0, 3, 2, 4, 3, 2, 4, 1, 3, 4, 1, 2, 4, 4, 1, 2, 0, 3, 2, 2, 2, 0, 4, 3, 3, 2, 3, 3, 2, 0, 3, 0, 4, 3, 3, 1, 1, 2, 2, 2, 4, 4, 1, 2, 3, 3, 2, 3, 0, 4, 4, 3, 4, 4, 2, 3, 3, 1, 1, 2, 0, 0, 0, 0, 2, 3, 1, 0, 2, 2, 1, 3, 0, 0, 2, 2, 4, 2, 0, 2] pubkeycol1192 = [3, 1, 2, 3, 3, 3, 1, 3, 4, 3, 4, 2, 3, 2, 2, 1, 3, 3, 1, 4, 1, 3, 4, 0, 2, 2, 0, 4, 3, 0, 3, 1, 4, 3, 1, 3, 2, 0, 2, 4, 0, 4, 4, 3, 2, 0, 4, 2, 4, 3, 1, 3, 0, 4, 1, 4, 4, 2, 0, 3, 3, 2, 2, 0, 1, 3, 3, 0, 2, 4, 0, 0, 2, 2, 1, 0, 2, 0, 4, 3, 2, 1, 0, 4, 3, 0, 1, 2, 4, 3, 3, 1, 1, 2, 4, 1, 2, 2, 3, 1, 4, 4, 1, 4, 1, 3, 1, 4, 0, 2, 2, 3, 2, 4, 1, 3, 1, 4, 4, 2, 1, 3, 2, 0, 2, 1, 2, 2, 4, 4, 1, 0, 4, 3, 3, 0, 0, 4, 0, 2, 2, 2, 1, 3, 0, 2, 1, 1, 4, 3, 4, 0, 0, 4, 3, 3, 3, 1, 3, 1, 0, 2, 4, 0, 1, 0, 0, 4, 2, 4, 3, 1, 1, 1, 3, 0, 0, 0, 3, 2, 2, 0, 4, 3, 1, 2, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 4, 0, 4, 3, 4, 0, 2, 2, 0, 1, 0, 3, 3, 0, 1, 0, 2, 0, 0, 3, 0, 2, 1, 1, 2, 0, 3, 3, 2, 4, 3, 4, 4, 3, 2, 1, 3, 4, 1, 2, 4, 0, 2, 1, 1, 4, 2, 4, 0, 0, 0, 3, 0, 3, 2, 3, 2, 4, 2, 2, 4, 1, 0, 4, 3, 1, 2, 4, 4, 3, 2, 1, 2, 0, 1, 0, 1, 3, 3, 0, 0, 0, 2, 0, 2, 4, 4, 2, 3, 2, 0, 2, 3, 1, 2, 4, 2, 3, 2, 4, 0, 4, 4, 0, 3, 0, 4, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 4, 0, 4, 3, 0, 0, 1, 4, 4, 1, 0, 2, 3, 2, 4, 0, 4, 2, 2, 0, 2, 0, 3, 4, 2, 2, 1, 1, 2, 0, 0, 1, 4, 0, 3, 0, 3, 4, 3, 4, 1, 4, 4, 3, 1, 2, 4, 1, 4, 3, 3, 1, 1, 2, 0, 2, 0, 3, 3, 2, 3, 4, 3, 1, 4, 3, 2, 4, 4, 0, 4, 3, 1, 0, 2, 0, 4, 4, 0, 1, 0, 2, 0, 1] pubkeycol1193 = [4, 4, 0, 3, 1, 3, 3, 4, 1, 3, 4, 1, 2, 2, 1, 3, 2, 1, 1, 3, 3, 4, 0, 3, 2, 0, 1, 1, 1, 1, 0, 3, 3, 4, 3, 1, 3, 4, 3, 1, 4, 4, 0, 1, 2, 3, 3, 4, 2, 4, 0, 2, 4, 2, 0, 3, 2, 0, 0, 0, 1, 2, 0, 4, 0, 3, 1, 3, 3, 1, 0, 0, 2, 4, 2, 4, 1, 1, 1, 4, 0, 1, 4, 4, 3, 4, 1, 2, 4, 4, 2, 2, 1, 0, 3, 3, 1, 2, 1, 2, 1, 3, 0, 4, 3, 3, 2, 4, 2, 0, 1, 3, 4, 4, 4, 0, 0, 1, 0, 2, 2, 2, 4, 3, 3, 3, 3, 1, 4, 1, 1, 2, 1, 3, 3, 2, 2, 4, 2, 2, 3, 0, 2, 1, 4, 3, 0, 1, 1, 1, 2, 2, 3, 4, 0, 1, 2, 4, 1, 3, 1, 4, 2, 2, 0, 4, 1, 0, 4, 0, 0, 2, 3, 4, 3, 4, 0, 3, 0, 4, 4, 4, 3, 0, 3, 4, 2, 3, 4, 1, 2, 2, 2, 2, 4, 0, 4, 4, 0, 1, 3, 2, 1, 1, 1, 2, 4, 4, 3, 1, 3, 1, 2, 1, 0, 2, 1, 3, 1, 2, 4, 4, 2, 1, 0, 0, 4, 2, 0, 0, 2, 2, 0, 2, 3, 4, 1, 1, 2, 3, 2, 0, 2, 2, 3, 4, 1, 2, 4, 4, 4, 3, 3, 4, 1, 2, 4, 3, 0, 2, 1, 3, 3, 0, 3, 1, 0, 1, 2, 1, 4, 3, 2, 4, 4, 1, 4, 2, 0, 1, 2, 1, 4, 4, 0, 4, 2, 2, 2, 3, 2, 4, 3, 1, 4, 4, 3, 1, 1, 4, 0, 2, 2, 0, 1, 3, 4, 4, 4, 0, 0, 4, 0, 3, 4, 1, 4, 1, 1, 4, 4, 3, 4, 3, 3, 1, 0, 0, 3, 0, 1, 0, 3, 3, 4, 1, 2, 3, 4, 4, 0, 1, 0, 3, 2, 1, 1, 0, 2, 0, 2, 3, 0, 0, 2, 1, 0, 4, 2, 3, 1, 3, 3, 3, 0, 2, 4, 4, 1, 0, 0, 4, 3, 3, 1, 2, 2, 3, 4, 1, 3, 3, 3, 4, 4, 3, 1, 0, 0, 4, 2, 4, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol1194 = [4, 4, 3, 0, 0, 0, 4, 1, 3, 3, 3, 2, 4, 1, 0, 4, 4, 2, 2, 0, 0, 3, 0, 2, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 3, 0, 3, 4, 3, 4, 3, 1, 2, 1, 3, 4, 4, 0, 0, 0, 4, 1, 0, 3, 2, 0, 4, 4, 0, 0, 1, 4, 1, 4, 1, 1, 1, 0, 1, 2, 0, 1, 3, 1, 3, 0, 1, 3, 1, 1, 1, 0, 0, 0, 3, 0, 4, 2, 0, 4, 4, 4, 2, 0, 0, 3, 1, 2, 4, 2, 0, 4, 0, 4, 2, 1, 3, 1, 1, 2, 2, 1, 4, 4, 2, 2, 1, 1, 3, 3, 3, 3, 4, 4, 0, 4, 3, 1, 3, 1, 2, 2, 3, 2, 0, 1, 0, 2, 4, 4, 0, 2, 3, 1, 1, 3, 3, 3, 3, 1, 3, 0, 0, 1, 3, 3, 4, 3, 2, 1, 3, 3, 2, 1, 4, 2, 4, 0, 3, 0, 2, 3, 3, 2, 1, 2, 1, 3, 3, 1, 2, 1, 4, 0, 3, 3, 0, 1, 1, 1, 0, 0, 1, 0, 3, 0, 4, 3, 3, 4, 3, 3, 0, 0, 4, 0, 0, 0, 0, 4, 1, 3, 2, 3, 4, 0, 3, 0, 1, 2, 2, 4, 4, 4, 0, 4, 2, 3, 3, 3, 4, 1, 4, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 3, 2, 3, 2, 1, 2, 4, 3, 2, 4, 3, 0, 2, 3, 4, 0, 1, 3, 0, 3, 3, 1, 2, 1, 1, 0, 1, 1, 3, 0, 2, 3, 0, 4, 0, 3, 4, 2, 4, 2, 1, 1, 2, 2, 0, 3, 0, 4, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 3, 0, 3, 2, 3, 4, 3, 0, 0, 4, 3, 3, 0, 0, 2, 2, 3, 1, 4, 2, 1, 0, 3, 2, 3, 4, 4, 4, 1, 2, 0, 0, 2, 1, 1, 3, 0, 3, 4, 0, 3, 3, 0, 0, 2, 0, 3, 3, 2, 4, 3, 4, 2, 2, 1, 3, 3, 0, 2, 4, 3, 1, 2, 1, 0, 1, 4, 2, 3, 3, 4, 0, 2, 0, 2, 4, 1, 0, 1, 2, 3, 1, 3, 1, 4, 3, 2, 4, 4, 0, 3, 0, 4, 0, 0, 0] pubkeycol1195 = [0, 3, 0, 3, 4, 1, 0, 2, 0, 0, 4, 3, 1, 1, 4, 3, 4, 3, 3, 4, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 0, 4, 0, 2, 1, 3, 1, 1, 1, 4, 0, 3, 1, 2, 4, 4, 3, 1, 0, 4, 1, 0, 2, 2, 2, 2, 0, 3, 1, 1, 4, 3, 4, 1, 2, 2, 4, 1, 3, 2, 1, 1, 4, 3, 3, 0, 2, 3, 3, 4, 1, 1, 2, 0, 2, 2, 4, 0, 0, 3, 2, 1, 1, 2, 0, 1, 2, 0, 3, 2, 3, 3, 0, 3, 3, 4, 4, 3, 2, 1, 2, 0, 4, 2, 2, 1, 4, 1, 2, 3, 2, 1, 2, 0, 1, 1, 4, 4, 3, 0, 0, 3, 0, 2, 2, 2, 2, 1, 4, 1, 4, 0, 0, 1, 1, 4, 3, 0, 0, 2, 4, 2, 1, 0, 1, 4, 4, 1, 1, 0, 4, 3, 2, 0, 3, 3, 3, 3, 4, 2, 2, 0, 2, 0, 0, 3, 2, 3, 4, 4, 1, 2, 2, 2, 3, 2, 4, 3, 3, 3, 4, 3, 3, 3, 4, 0, 4, 1, 2, 2, 3, 3, 2, 3, 0, 0, 1, 4, 1, 0, 4, 1, 3, 4, 2, 4, 1, 1, 2, 4, 2, 4, 0, 3, 0, 2, 2, 0, 0, 3, 4, 4, 4, 3, 1, 2, 1, 4, 4, 2, 1, 1, 2, 4, 1, 3, 1, 1, 3, 0, 4, 4, 3, 2, 3, 0, 3, 3, 0, 0, 0, 4, 1, 1, 0, 4, 2, 0, 3, 2, 0, 2, 1, 4, 2, 2, 2, 1, 4, 0, 3, 3, 4, 0, 0, 2, 2, 0, 0, 0, 3, 2, 2, 2, 1, 4, 0, 4, 3, 1, 1, 2, 4, 0, 1, 4, 4, 1, 2, 4, 3, 3, 0, 2, 0, 3, 1, 4, 4, 0, 3, 1, 0, 4, 0, 3, 1, 4, 4, 2, 2, 2, 2, 0, 1, 1, 2, 4, 2, 3, 3, 4, 4, 1, 2, 4, 3, 4, 3, 2, 2, 0, 1, 0, 2, 0, 3, 1, 3, 0, 1, 3, 1, 1, 1, 1, 3, 3, 1, 4, 0, 1, 0, 2, 4, 3, 3, 0, 4, 3, 0, 0, 3, 0, 2, 3, 2, 1, 3, 2, 4, 0, 0, 4, 4] pubkeycol1196 = [1, 4, 3, 0, 2, 0, 0, 2, 0, 2, 4, 3, 3, 1, 3, 0, 1, 1, 0, 0, 2, 0, 2, 4, 2, 3, 3, 0, 3, 0, 2, 1, 2, 3, 3, 0, 4, 1, 1, 0, 2, 3, 0, 1, 3, 4, 1, 4, 2, 4, 3, 1, 0, 3, 2, 0, 2, 2, 1, 3, 0, 4, 3, 3, 2, 0, 0, 2, 2, 0, 1, 4, 3, 4, 4, 3, 1, 1, 3, 2, 1, 2, 0, 4, 0, 2, 4, 1, 2, 3, 1, 0, 2, 4, 1, 2, 2, 3, 3, 0, 2, 1, 1, 4, 3, 0, 3, 4, 0, 4, 3, 1, 4, 3, 4, 2, 3, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 3, 2, 3, 2, 1, 1, 2, 4, 1, 2, 1, 4, 1, 0, 1, 4, 3, 1, 0, 1, 4, 0, 1, 4, 4, 3, 3, 0, 3, 1, 4, 0, 4, 3, 1, 2, 2, 2, 2, 0, 2, 1, 3, 4, 1, 1, 2, 0, 3, 1, 2, 3, 1, 0, 0, 3, 1, 4, 0, 4, 4, 3, 3, 2, 0, 2, 3, 2, 1, 2, 3, 2, 3, 4, 4, 1, 4, 0, 2, 4, 2, 0, 0, 3, 1, 3, 0, 4, 4, 2, 2, 2, 3, 0, 4, 4, 3, 1, 0, 1, 2, 0, 1, 4, 1, 3, 1, 0, 4, 0, 3, 2, 1, 1, 0, 0, 1, 1, 0, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 3, 4, 1, 1, 4, 1, 0, 1, 3, 2, 4, 4, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 3, 4, 1, 2, 1, 2, 1, 0, 1, 0, 3, 2, 0, 4, 4, 1, 2, 3, 2, 4, 4, 1, 4, 1, 0, 0, 2, 2, 0, 3, 0, 3, 0, 0, 1, 3, 4, 3, 3, 2, 2, 3, 4, 0, 2, 4, 0, 2, 4, 3, 2, 1, 4, 1, 2, 4, 0, 3, 0, 3, 1, 2, 1, 1, 2, 4, 3, 3, 3, 3, 4, 4, 1, 3, 3, 0, 2, 1, 1, 4, 4, 3, 3, 4, 3, 0, 0, 1, 4, 3, 0, 3, 0, 1, 1, 3, 2, 4, 4, 1, 1, 3, 2, 3, 2, 1, 2, 2, 0, 0, 4, 4, 4, 2, 3, 2, 3, 3, 2] pubkeycol1197 = [3, 2, 3, 3, 2, 1, 1, 3, 3, 0, 3, 3, 1, 1, 0, 0, 2, 1, 4, 1, 1, 2, 1, 1, 4, 3, 2, 3, 4, 2, 1, 2, 1, 2, 3, 0, 1, 2, 2, 1, 3, 0, 1, 4, 1, 2, 4, 1, 1, 4, 2, 4, 3, 0, 1, 2, 3, 2, 3, 4, 3, 1, 2, 0, 2, 1, 1, 0, 3, 4, 0, 4, 3, 4, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 3, 1, 0, 3, 1, 0, 1, 3, 3, 2, 4, 1, 4, 4, 2, 1, 0, 2, 4, 1, 2, 1, 0, 4, 1, 3, 3, 3, 1, 2, 1, 4, 4, 1, 4, 1, 1, 0, 1, 0, 0, 2, 0, 0, 4, 4, 1, 3, 4, 2, 0, 3, 4, 1, 0, 2, 3, 0, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 4, 3, 1, 3, 0, 1, 3, 3, 0, 2, 3, 1, 0, 4, 4, 4, 2, 0, 1, 1, 4, 3, 1, 1, 4, 2, 0, 4, 0, 4, 2, 4, 1, 0, 2, 0, 1, 0, 0, 2, 3, 0, 1, 1, 1, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 3, 2, 4, 2, 4, 4, 1, 3, 3, 0, 3, 2, 4, 0, 0, 4, 1, 4, 1, 1, 1, 2, 3, 0, 1, 0, 2, 1, 1, 4, 2, 3, 0, 2, 1, 0, 1, 4, 2, 4, 3, 3, 4, 0, 1, 2, 2, 3, 1, 3, 2, 0, 1, 1, 4, 2, 0, 1, 2, 2, 1, 3, 4, 0, 3, 0, 3, 3, 3, 4, 4, 3, 0, 0, 1, 0, 2, 4, 4, 0, 4, 4, 2, 1, 0, 3, 0, 2, 0, 0, 1, 4, 3, 2, 3, 3, 1, 1, 0, 1, 4, 3, 0, 2, 1, 3, 2, 2, 0, 0, 3, 3, 1, 0, 3, 1, 4, 2, 2, 0, 1, 3, 4, 2, 3, 0, 1, 0, 3, 3, 1, 3, 1, 4, 0, 3, 1, 3, 1, 4, 3, 0, 1, 1, 1, 0, 4, 0, 1, 0, 4, 3, 4, 0, 1, 1, 2, 3, 4, 4, 1, 0, 2, 0, 2, 1, 4, 4, 0, 3, 0, 4, 0, 3, 3, 4, 2, 4, 0, 3, 3, 1, 0, 1, 2] pubkeycol1198 = [0, 3, 0, 4, 4, 0, 1, 0, 3, 3, 3, 0, 1, 2, 1, 3, 3, 4, 2, 4, 1, 1, 3, 4, 0, 3, 4, 3, 0, 1, 0, 0, 3, 0, 1, 3, 0, 3, 2, 4, 1, 1, 0, 1, 3, 4, 4, 0, 0, 0, 2, 4, 1, 3, 2, 0, 3, 1, 4, 3, 2, 4, 2, 3, 1, 4, 2, 2, 1, 0, 3, 0, 3, 3, 1, 2, 3, 4, 3, 1, 2, 0, 3, 3, 2, 4, 4, 4, 3, 3, 0, 4, 4, 0, 0, 2, 4, 2, 2, 1, 2, 0, 0, 4, 0, 3, 1, 3, 1, 4, 2, 2, 1, 3, 0, 2, 4, 0, 4, 0, 4, 3, 4, 3, 3, 2, 1, 0, 3, 3, 3, 1, 0, 4, 1, 4, 4, 2, 0, 3, 0, 0, 0, 1, 4, 3, 4, 0, 2, 0, 3, 0, 2, 3, 3, 0, 3, 2, 4, 0, 0, 1, 3, 1, 3, 4, 2, 2, 4, 1, 0, 1, 4, 2, 4, 1, 1, 3, 3, 2, 0, 2, 4, 2, 2, 1, 1, 2, 2, 3, 0, 1, 2, 1, 3, 0, 1, 3, 3, 4, 4, 1, 0, 0, 2, 2, 0, 2, 2, 1, 4, 3, 0, 1, 4, 1, 4, 4, 1, 4, 4, 4, 3, 4, 4, 2, 1, 1, 4, 0, 3, 4, 2, 3, 0, 3, 3, 2, 3, 1, 4, 2, 2, 4, 3, 2, 4, 0, 0, 4, 4, 1, 4, 2, 1, 1, 0, 3, 2, 4, 0, 4, 0, 4, 0, 0, 2, 2, 4, 3, 3, 4, 1, 3, 2, 0, 2, 0, 4, 2, 1, 4, 0, 1, 3, 3, 3, 0, 2, 3, 2, 1, 2, 3, 1, 3, 3, 0, 4, 0, 4, 0, 3, 4, 1, 0, 4, 1, 4, 4, 4, 0, 0, 0, 1, 3, 1, 4, 0, 2, 1, 0, 1, 4, 4, 1, 1, 1, 0, 4, 2, 2, 3, 0, 3, 1, 2, 1, 1, 0, 3, 4, 1, 4, 2, 4, 3, 4, 4, 0, 3, 3, 3, 3, 4, 4, 2, 4, 2, 0, 2, 1, 2, 0, 4, 4, 1, 2, 4, 0, 1, 2, 4, 2, 4, 3, 3, 0, 0, 2, 0, 3, 3, 0, 1, 3, 1, 2, 4, 0, 1, 1, 4, 4, 0, 4, 0, 1, 2, 0] pubkeycol1199 = [3, 3, 1, 0, 0, 4, 4, 1, 0, 2, 1, 1, 4, 4, 1, 0, 3, 4, 1, 0, 4, 1, 3, 3, 4, 3, 2, 3, 3, 0, 4, 2, 0, 1, 2, 4, 0, 0, 2, 0, 0, 3, 4, 2, 4, 4, 0, 3, 3, 0, 2, 3, 2, 1, 0, 0, 1, 1, 2, 3, 3, 3, 4, 1, 1, 2, 0, 2, 3, 4, 4, 2, 2, 4, 4, 1, 1, 1, 3, 1, 0, 4, 2, 0, 0, 4, 1, 2, 2, 4, 0, 3, 4, 3, 2, 3, 4, 3, 3, 1, 0, 1, 2, 1, 1, 2, 1, 0, 3, 1, 1, 4, 4, 4, 3, 4, 2, 1, 3, 3, 2, 4, 2, 4, 2, 2, 0, 3, 1, 2, 0, 4, 2, 3, 3, 1, 3, 1, 3, 2, 4, 0, 2, 0, 2, 2, 3, 1, 4, 1, 2, 1, 4, 0, 2, 3, 0, 1, 4, 0, 3, 4, 0, 1, 1, 2, 1, 4, 2, 1, 4, 1, 3, 1, 4, 2, 0, 3, 4, 0, 4, 0, 3, 3, 3, 3, 4, 3, 3, 4, 1, 4, 0, 4, 3, 1, 1, 0, 1, 0, 3, 1, 4, 2, 0, 3, 2, 1, 3, 3, 3, 2, 2, 4, 3, 3, 0, 2, 0, 0, 3, 3, 3, 0, 3, 4, 4, 1, 4, 2, 4, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 3, 4, 3, 3, 0, 4, 4, 4, 3, 2, 0, 2, 3, 4, 1, 3, 0, 1, 1, 3, 4, 2, 4, 1, 3, 3, 4, 2, 0, 4, 2, 4, 2, 2, 0, 1, 2, 1, 2, 1, 0, 4, 0, 0, 1, 3, 0, 4, 0, 3, 4, 3, 3, 0, 2, 2, 3, 2, 2, 2, 0, 2, 4, 1, 1, 3, 2, 4, 3, 3, 4, 0, 3, 2, 4, 1, 3, 2, 2, 2, 1, 3, 2, 3, 2, 4, 2, 4, 1, 3, 3, 3, 0, 0, 2, 3, 3, 1, 3, 4, 3, 0, 4, 3, 0, 3, 4, 1, 4, 3, 4, 0, 4, 0, 0, 0, 2, 0, 3, 3, 2, 3, 3, 3, 2, 3, 0, 1, 0, 3, 3, 0, 1, 1, 0, 2, 2, 4, 3, 3, 4, 0, 1, 2, 4, 1, 1, 0, 1, 4, 2, 1, 2, 0, 3, 2, 3, 2, 1] pubkeycol1200 = [3, 3, 2, 4, 2, 0, 0, 1, 1, 3, 1, 4, 3, 0, 0, 3, 2, 4, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 4, 1, 3, 3, 0, 2, 1, 3, 1, 0, 3, 4, 3, 1, 3, 3, 3, 2, 3, 2, 1, 0, 4, 2, 4, 3, 4, 0, 4, 1, 0, 3, 3, 3, 4, 2, 4, 0, 3, 4, 0, 2, 3, 0, 2, 0, 2, 3, 0, 2, 4, 0, 4, 4, 4, 4, 1, 0, 1, 4, 3, 1, 4, 2, 1, 4, 3, 0, 2, 4, 2, 4, 3, 0, 4, 2, 3, 2, 3, 1, 1, 1, 1, 1, 0, 4, 4, 3, 3, 1, 2, 4, 0, 2, 4, 2, 3, 4, 1, 1, 3, 4, 4, 0, 0, 3, 3, 2, 1, 4, 3, 1, 4, 3, 3, 4, 3, 0, 3, 4, 1, 4, 2, 2, 1, 3, 3, 4, 3, 3, 1, 0, 3, 1, 1, 1, 1, 4, 0, 0, 0, 2, 3, 2, 1, 0, 0, 2, 3, 0, 3, 4, 3, 3, 1, 1, 2, 1, 3, 1, 3, 1, 4, 3, 2, 0, 1, 3, 2, 1, 4, 3, 0, 3, 3, 0, 3, 0, 2, 4, 4, 1, 1, 2, 4, 1, 4, 3, 2, 1, 4, 1, 3, 3, 4, 4, 3, 1, 4, 2, 1, 4, 2, 1, 3, 2, 3, 0, 1, 3, 1, 3, 1, 2, 2, 0, 1, 3, 2, 4, 3, 3, 0, 3, 3, 1, 2, 4, 3, 0, 1, 0, 3, 1, 4, 3, 0, 3, 2, 1, 4, 4, 4, 4, 2, 2, 3, 2, 0, 4, 1, 2, 1, 2, 4, 1, 3, 0, 1, 4, 3, 2, 1, 3, 3, 4, 0, 0, 0, 3, 1, 3, 3, 0, 3, 3, 2, 3, 4, 4, 1, 0, 1, 2, 0, 1, 3, 2, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 3, 3, 3, 1, 0, 4, 4, 1, 2, 3, 3, 3, 0, 4, 4, 2, 3, 3, 3, 0, 0, 3, 0, 4, 3, 4, 1, 0, 1, 0, 1, 0, 0, 2, 0, 3, 2, 1, 3, 3, 3, 4, 3, 4, 0, 2, 2, 0, 4, 1, 3, 0, 3, 0, 1, 1, 3, 0, 0, 0, 1, 1, 4, 4, 4, 1, 4, 3, 0] pubkeycol1201 = [4, 0, 1, 2, 3, 2, 4, 2, 3, 0, 0, 0, 2, 3, 2, 0, 4, 2, 1, 4, 0, 3, 0, 4, 0, 3, 2, 3, 3, 1, 1, 3, 1, 0, 3, 0, 3, 1, 2, 3, 1, 3, 1, 3, 2, 3, 4, 4, 0, 3, 3, 1, 0, 1, 4, 1, 4, 4, 0, 0, 4, 0, 3, 1, 1, 4, 0, 4, 3, 4, 3, 4, 3, 1, 0, 2, 0, 1, 2, 4, 2, 1, 2, 2, 4, 1, 1, 3, 2, 4, 0, 1, 2, 2, 1, 0, 4, 4, 2, 4, 0, 2, 4, 0, 1, 1, 4, 2, 1, 1, 2, 4, 1, 1, 2, 1, 1, 4, 1, 4, 4, 3, 4, 1, 1, 0, 3, 2, 1, 3, 3, 3, 1, 2, 4, 3, 2, 1, 2, 2, 0, 2, 0, 0, 4, 0, 1, 2, 1, 0, 4, 3, 4, 4, 1, 2, 4, 1, 0, 3, 2, 0, 3, 4, 0, 2, 4, 0, 0, 0, 4, 1, 0, 4, 3, 2, 1, 4, 3, 4, 1, 4, 3, 2, 4, 1, 2, 2, 3, 1, 3, 4, 2, 2, 2, 1, 4, 3, 0, 3, 2, 2, 0, 1, 1, 3, 4, 1, 2, 0, 3, 1, 2, 1, 1, 3, 1, 0, 2, 2, 0, 0, 4, 2, 3, 2, 0, 3, 2, 1, 3, 2, 4, 3, 2, 4, 1, 2, 4, 4, 3, 4, 4, 2, 0, 4, 4, 2, 3, 3, 0, 3, 2, 0, 1, 0, 1, 4, 1, 1, 0, 2, 1, 4, 0, 4, 2, 0, 3, 3, 4, 1, 2, 1, 3, 2, 1, 3, 3, 4, 3, 4, 1, 3, 0, 3, 3, 2, 2, 0, 0, 2, 4, 1, 3, 1, 0, 0, 1, 0, 0, 1, 0, 3, 1, 1, 4, 1, 1, 0, 1, 2, 1, 3, 0, 2, 4, 1, 4, 2, 1, 2, 4, 4, 2, 4, 1, 4, 3, 1, 2, 1, 2, 2, 3, 3, 2, 2, 4, 0, 4, 1, 1, 4, 1, 4, 4, 3, 1, 3, 4, 3, 0, 3, 3, 4, 1, 1, 0, 1, 0, 4, 2, 4, 0, 1, 4, 0, 0, 4, 0, 3, 3, 0, 3, 3, 1, 2, 2, 0, 4, 4, 3, 3, 2, 0, 4, 1, 3, 2, 1, 3, 1, 4, 0, 1, 2, 1, 2, 2] pubkeycol1202 = [4, 3, 3, 0, 3, 0, 0, 3, 4, 4, 3, 4, 4, 0, 2, 0, 2, 1, 3, 1, 2, 2, 4, 3, 4, 0, 0, 3, 3, 3, 1, 0, 3, 3, 1, 3, 4, 1, 4, 3, 0, 3, 0, 4, 4, 0, 2, 4, 2, 3, 1, 4, 2, 2, 0, 4, 4, 3, 0, 1, 2, 4, 4, 0, 4, 4, 4, 1, 3, 1, 4, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 4, 1, 1, 0, 3, 3, 1, 0, 3, 1, 1, 2, 4, 1, 4, 4, 4, 3, 1, 0, 2, 3, 0, 1, 4, 0, 0, 2, 1, 1, 1, 0, 2, 4, 0, 3, 0, 0, 4, 1, 2, 2, 2, 3, 2, 4, 4, 3, 3, 3, 0, 4, 1, 4, 3, 4, 1, 0, 4, 1, 4, 4, 3, 1, 3, 0, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 3, 0, 3, 3, 1, 2, 2, 2, 1, 2, 3, 4, 3, 1, 0, 4, 1, 3, 3, 3, 4, 0, 2, 2, 4, 4, 2, 2, 2, 0, 1, 3, 3, 2, 0, 0, 4, 4, 3, 3, 1, 1, 1, 0, 3, 4, 3, 1, 4, 3, 1, 0, 2, 1, 4, 2, 3, 4, 2, 3, 1, 0, 2, 4, 0, 4, 1, 3, 0, 1, 1, 3, 0, 2, 4, 0, 4, 0, 1, 3, 2, 1, 4, 1, 4, 1, 0, 2, 2, 2, 2, 3, 1, 0, 3, 3, 0, 3, 1, 3, 4, 2, 2, 1, 0, 3, 4, 4, 0, 4, 0, 0, 2, 4, 3, 1, 3, 1, 0, 1, 3, 2, 4, 4, 1, 3, 1, 1, 1, 4, 2, 4, 2, 1, 0, 3, 3, 3, 0, 4, 0, 1, 0, 3, 2, 1, 1, 2, 1, 2, 2, 4, 1, 4, 3, 1, 4, 1, 3, 0, 3, 4, 1, 1, 4, 1, 3, 3, 2, 3, 0, 4, 2, 4, 4, 0, 1, 3, 0, 1, 0, 0, 4, 4, 2, 3, 3, 1, 4, 2, 3, 4, 0, 3, 4, 2, 4, 1, 3, 0, 1, 3, 4, 1, 0, 3, 3, 3, 3, 0, 1, 3, 3, 3, 1, 2, 4, 3, 0, 0, 1, 1, 1, 0, 0, 1, 4, 4, 4, 4, 2, 4, 4, 1, 4, 0, 4, 4, 1, 1, 2] pubkeycol1203 = [4, 2, 4, 2, 4, 1, 1, 2, 0, 4, 3, 0, 0, 0, 4, 0, 4, 1, 4, 2, 2, 1, 0, 3, 0, 4, 1, 3, 1, 3, 2, 2, 4, 1, 0, 0, 1, 0, 0, 3, 3, 0, 0, 3, 3, 1, 3, 2, 0, 1, 3, 2, 4, 4, 2, 0, 1, 0, 2, 2, 3, 1, 4, 1, 4, 2, 3, 1, 2, 3, 0, 4, 3, 2, 0, 4, 4, 1, 4, 3, 3, 0, 2, 0, 1, 3, 4, 2, 4, 0, 3, 4, 2, 3, 4, 4, 3, 1, 2, 4, 2, 3, 0, 2, 0, 0, 4, 1, 0, 4, 4, 2, 3, 3, 1, 0, 3, 4, 1, 1, 2, 3, 1, 1, 2, 2, 1, 3, 2, 3, 0, 4, 1, 0, 2, 3, 4, 0, 0, 4, 0, 4, 3, 3, 0, 0, 3, 1, 1, 1, 1, 3, 2, 1, 4, 1, 3, 0, 2, 0, 4, 4, 3, 0, 2, 4, 2, 1, 4, 4, 1, 4, 2, 1, 0, 1, 0, 3, 2, 3, 0, 2, 2, 0, 1, 4, 3, 1, 4, 2, 1, 4, 2, 2, 4, 0, 4, 4, 4, 4, 0, 3, 1, 3, 0, 0, 1, 1, 0, 3, 0, 3, 2, 2, 4, 4, 4, 2, 3, 1, 4, 3, 2, 2, 4, 4, 2, 3, 4, 2, 0, 0, 0, 2, 3, 3, 4, 4, 0, 0, 2, 2, 4, 0, 3, 0, 2, 0, 0, 1, 0, 2, 2, 3, 1, 3, 3, 4, 3, 1, 3, 1, 4, 1, 3, 0, 1, 0, 4, 0, 4, 4, 3, 2, 3, 1, 3, 4, 0, 3, 1, 3, 1, 3, 2, 2, 1, 3, 4, 2, 3, 3, 2, 4, 4, 0, 2, 1, 1, 2, 2, 2, 3, 0, 2, 3, 2, 1, 3, 0, 0, 4, 2, 3, 0, 3, 4, 1, 3, 2, 0, 4, 1, 3, 0, 2, 1, 0, 0, 3, 0, 0, 4, 2, 0, 0, 3, 3, 1, 3, 3, 4, 2, 1, 3, 4, 4, 4, 2, 4, 2, 0, 2, 1, 0, 2, 4, 0, 3, 3, 2, 4, 3, 0, 0, 4, 1, 2, 1, 3, 1, 1, 3, 3, 0, 1, 4, 1, 0, 0, 1, 1, 4, 1, 2, 4, 2, 1, 0, 4, 0, 2, 0, 4, 2, 0, 0, 0, 4, 3] pubkeycol1204 = [0, 4, 0, 4, 4, 1, 4, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 4, 3, 3, 1, 1, 3, 4, 3, 0, 1, 3, 0, 2, 3, 3, 1, 3, 2, 0, 1, 0, 4, 0, 3, 3, 1, 0, 0, 0, 4, 4, 1, 1, 4, 4, 0, 3, 1, 1, 2, 0, 0, 3, 0, 4, 1, 4, 0, 3, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 4, 0, 2, 4, 3, 1, 2, 4, 2, 1, 2, 4, 0, 4, 2, 2, 1, 2, 2, 3, 0, 4, 2, 2, 0, 0, 0, 0, 0, 2, 3, 2, 2, 3, 2, 4, 3, 3, 0, 0, 1, 4, 2, 1, 1, 2, 0, 4, 3, 2, 0, 2, 4, 2, 4, 4, 4, 4, 3, 3, 4, 1, 4, 0, 3, 1, 2, 0, 2, 4, 1, 1, 0, 4, 2, 1, 1, 3, 2, 1, 1, 3, 4, 0, 4, 0, 1, 4, 3, 4, 0, 0, 2, 3, 0, 4, 3, 1, 0, 2, 0, 2, 1, 3, 3, 4, 4, 2, 0, 1, 0, 2, 4, 4, 3, 3, 3, 1, 3, 2, 4, 4, 1, 0, 2, 2, 1, 2, 3, 4, 0, 4, 2, 2, 3, 0, 4, 1, 0, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 2, 3, 1, 3, 1, 0, 3, 0, 4, 1, 4, 0, 0, 2, 4, 1, 2, 4, 4, 2, 2, 0, 2, 4, 4, 2, 3, 3, 3, 0, 1, 0, 4, 2, 0, 0, 1, 3, 0, 3, 4, 3, 1, 4, 1, 0, 2, 4, 4, 3, 0, 0, 2, 4, 1, 2, 1, 1, 3, 1, 2, 1, 3, 2, 3, 1, 1, 3, 4, 3, 0, 3, 2, 1, 0, 4, 3, 0, 0, 0, 3, 3, 4, 1, 1, 2, 1, 4, 0, 4, 2, 2, 2, 3, 0, 3, 3, 3, 3, 4, 0, 2, 0, 1, 3, 3, 3, 2, 0, 3, 4, 0, 2, 0, 3, 4, 3, 2, 1, 3, 2, 0, 4, 1, 0, 4, 0, 0, 1, 0, 0, 0, 2, 0, 3, 4, 1, 2, 0, 1, 1, 0, 0, 2, 4, 2, 0, 1, 0, 2, 2, 3, 2, 3, 2, 1, 0, 3, 1, 0, 0, 1, 0, 2, 4, 2, 4, 0, 3] pubkeycol1205 = [3, 3, 1, 1, 1, 3, 0, 4, 3, 0, 3, 3, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 2, 2, 0, 4, 2, 0, 2, 2, 2, 4, 2, 4, 2, 4, 0, 2, 3, 2, 1, 4, 3, 2, 4, 3, 2, 2, 1, 3, 4, 2, 0, 1, 3, 0, 4, 4, 4, 1, 4, 1, 1, 1, 1, 4, 4, 3, 2, 4, 0, 2, 3, 0, 3, 1, 3, 2, 2, 1, 1, 3, 1, 3, 2, 4, 4, 2, 0, 3, 1, 0, 2, 1, 2, 0, 4, 0, 2, 0, 3, 4, 2, 3, 2, 4, 2, 4, 2, 3, 0, 4, 0, 3, 0, 2, 3, 2, 0, 3, 3, 4, 2, 3, 0, 1, 4, 0, 2, 2, 3, 0, 0, 3, 2, 4, 3, 4, 1, 1, 4, 3, 3, 4, 3, 3, 4, 2, 0, 1, 4, 4, 4, 2, 1, 3, 0, 0, 1, 3, 4, 4, 4, 2, 1, 0, 2, 1, 1, 0, 4, 3, 4, 3, 3, 1, 4, 3, 2, 0, 1, 2, 3, 0, 4, 2, 2, 2, 1, 3, 4, 2, 4, 4, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 4, 2, 0, 4, 1, 3, 2, 4, 3, 1, 0, 1, 1, 3, 4, 4, 1, 2, 1, 3, 3, 3, 1, 0, 0, 0, 4, 3, 1, 3, 4, 3, 3, 0, 2, 2, 1, 1, 2, 2, 1, 3, 1, 2, 3, 1, 2, 1, 2, 4, 1, 4, 0, 2, 3, 0, 4, 0, 3, 0, 4, 3, 0, 3, 3, 4, 3, 4, 0, 0, 0, 2, 3, 4, 0, 2, 2, 2, 4, 4, 2, 4, 4, 4, 2, 0, 3, 4, 1, 0, 3, 3, 0, 4, 3, 3, 4, 4, 3, 0, 3, 4, 1, 3, 1, 2, 4, 0, 1, 0, 4, 0, 4, 3, 4, 3, 4, 0, 3, 3, 3, 3, 2, 0, 0, 1, 4, 1, 0, 0, 0, 1, 0, 1, 4, 3, 2, 0, 2, 1, 1, 3, 2, 2, 2, 1, 1, 2, 1, 2, 2, 3, 1, 0, 0, 1, 2, 2, 4, 3, 3, 3, 0, 0, 1, 2, 0, 3, 1, 3, 1, 1, 2, 3, 1, 3, 0, 3, 4, 0, 3, 1, 0, 3, 4, 1, 2, 3, 3, 0, 0, 2, 0, 2, 2, 3] pubkeycol1206 = [4, 3, 0, 0, 4, 0, 2, 2, 4, 0, 2, 3, 4, 1, 2, 4, 1, 2, 2, 3, 0, 4, 1, 3, 1, 4, 3, 0, 2, 3, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 4, 1, 3, 1, 4, 3, 0, 0, 4, 3, 1, 2, 4, 2, 3, 0, 0, 1, 4, 3, 3, 0, 4, 1, 0, 3, 0, 4, 2, 2, 4, 1, 3, 2, 4, 1, 0, 3, 4, 0, 0, 4, 3, 1, 3, 3, 0, 3, 2, 2, 4, 2, 3, 0, 1, 1, 3, 1, 2, 3, 2, 4, 4, 0, 2, 1, 3, 2, 3, 4, 0, 3, 1, 2, 2, 2, 4, 4, 4, 3, 0, 1, 4, 3, 1, 2, 3, 0, 1, 1, 1, 2, 3, 0, 3, 1, 1, 4, 0, 0, 0, 0, 2, 4, 2, 0, 1, 2, 3, 0, 2, 4, 1, 1, 0, 2, 0, 3, 3, 2, 2, 0, 4, 4, 2, 0, 3, 0, 1, 3, 3, 0, 4, 0, 4, 4, 0, 2, 0, 0, 1, 3, 1, 4, 2, 4, 4, 4, 0, 4, 3, 4, 0, 0, 0, 1, 2, 3, 2, 1, 3, 1, 4, 3, 4, 1, 2, 4, 3, 0, 1, 0, 1, 1, 3, 2, 0, 1, 3, 4, 1, 1, 0, 3, 2, 2, 4, 4, 2, 3, 1, 0, 2, 0, 2, 2, 4, 1, 2, 2, 0, 2, 3, 1, 3, 2, 2, 1, 4, 2, 0, 2, 0, 3, 1, 4, 0, 2, 3, 2, 1, 3, 4, 3, 4, 1, 4, 4, 2, 1, 3, 4, 4, 3, 1, 0, 0, 1, 2, 1, 1, 2, 3, 3, 4, 2, 0, 3, 2, 4, 1, 1, 0, 1, 3, 3, 2, 1, 0, 1, 3, 2, 2, 1, 2, 0, 2, 2, 3, 1, 3, 4, 0, 3, 1, 1, 4, 0, 2, 1, 0, 1, 3, 2, 2, 4, 0, 1, 0, 4, 1, 4, 4, 1, 2, 1, 3, 2, 0, 2, 0, 4, 0, 0, 3, 1, 2, 2, 4, 4, 0, 1, 1, 1, 0, 2, 1, 0, 3, 2, 4, 2, 4, 2, 3, 4, 2, 1, 0, 1, 0, 0, 1, 4, 3, 4, 0, 3, 4, 4, 4, 0, 2, 4, 3, 0, 4, 1, 3, 3, 4, 4, 4, 0, 4, 2, 1, 2, 3] pubkeycol1207 = [0, 4, 0, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 1, 0, 1, 4, 1, 4, 0, 0, 1, 0, 0, 4, 4, 4, 3, 0, 2, 3, 4, 4, 2, 2, 2, 3, 1, 3, 4, 0, 3, 2, 4, 1, 1, 0, 4, 1, 1, 2, 3, 2, 0, 0, 4, 3, 2, 3, 3, 1, 0, 0, 3, 4, 3, 4, 0, 2, 1, 2, 0, 3, 3, 0, 0, 3, 1, 3, 2, 0, 1, 1, 4, 2, 4, 3, 1, 2, 3, 1, 3, 1, 3, 0, 2, 2, 1, 4, 0, 3, 4, 4, 0, 3, 3, 3, 0, 3, 1, 1, 2, 2, 2, 1, 1, 0, 4, 4, 0, 4, 0, 1, 0, 3, 0, 1, 2, 4, 4, 2, 1, 1, 0, 3, 1, 2, 2, 3, 4, 4, 3, 3, 2, 1, 4, 2, 4, 3, 1, 0, 1, 2, 0, 1, 0, 4, 1, 2, 2, 3, 1, 0, 1, 4, 4, 3, 2, 4, 0, 1, 0, 4, 1, 4, 2, 4, 3, 1, 2, 4, 4, 4, 3, 4, 4, 1, 3, 0, 2, 4, 2, 0, 0, 4, 2, 2, 0, 4, 2, 1, 3, 4, 3, 0, 0, 4, 1, 1, 4, 0, 3, 3, 1, 2, 1, 2, 4, 3, 0, 2, 2, 4, 0, 4, 0, 4, 1, 1, 0, 0, 0, 4, 1, 0, 4, 0, 4, 0, 4, 4, 4, 2, 3, 4, 4, 2, 1, 4, 4, 1, 2, 2, 0, 0, 3, 1, 3, 2, 3, 1, 0, 0, 3, 4, 2, 4, 2, 1, 0, 3, 1, 2, 4, 1, 2, 3, 1, 1, 2, 4, 2, 0, 2, 1, 2, 2, 0, 2, 3, 1, 4, 3, 0, 2, 4, 3, 2, 2, 3, 0, 0, 4, 0, 3, 1, 1, 2, 0, 2, 4, 2, 0, 2, 2, 0, 3, 4, 4, 4, 0, 4, 4, 3, 4, 2, 4, 4, 1, 2, 1, 1, 3, 0, 3, 1, 1, 4, 2, 4, 0, 0, 4, 0, 3, 0, 0, 1, 1, 4, 1, 2, 4, 2, 0, 0, 3, 2, 2, 1, 4, 4, 1, 1, 3, 1, 4, 3, 3, 4, 3, 4, 0, 0, 1, 4, 2, 4, 0, 2, 4, 0, 0, 1, 2, 1, 3, 0, 4, 0, 1, 1, 3, 0, 1, 1, 4, 4, 4, 0] pubkeycol1208 = [3, 3, 4, 4, 0, 4, 3, 2, 4, 4, 4, 1, 2, 1, 3, 3, 4, 0, 0, 1, 1, 2, 3, 1, 2, 4, 0, 0, 2, 2, 4, 4, 4, 2, 1, 4, 0, 4, 3, 2, 1, 4, 2, 1, 3, 2, 0, 0, 4, 3, 4, 1, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 3, 3, 2, 0, 1, 1, 2, 4, 0, 0, 4, 1, 4, 0, 4, 3, 0, 3, 4, 0, 2, 2, 3, 3, 0, 0, 4, 0, 1, 4, 0, 2, 2, 3, 1, 1, 4, 0, 2, 0, 1, 4, 4, 1, 4, 0, 3, 4, 0, 3, 1, 3, 2, 1, 4, 4, 2, 0, 1, 2, 0, 3, 1, 0, 4, 4, 3, 0, 3, 0, 3, 1, 3, 2, 0, 3, 4, 4, 0, 3, 1, 4, 3, 3, 0, 0, 3, 1, 3, 0, 1, 4, 3, 2, 0, 1, 2, 2, 4, 3, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 3, 2, 3, 2, 2, 4, 4, 0, 3, 0, 0, 1, 3, 4, 4, 2, 2, 2, 1, 2, 1, 1, 0, 2, 3, 2, 3, 2, 0, 1, 2, 0, 2, 4, 1, 2, 4, 1, 0, 2, 1, 2, 4, 1, 0, 1, 1, 1, 3, 1, 0, 0, 3, 3, 4, 3, 3, 4, 1, 3, 4, 1, 3, 1, 4, 4, 3, 2, 2, 4, 0, 0, 0, 2, 2, 4, 3, 4, 1, 2, 3, 1, 3, 1, 1, 4, 2, 3, 2, 3, 4, 1, 1, 4, 0, 4, 3, 3, 2, 2, 4, 4, 0, 1, 0, 0, 1, 0, 4, 4, 3, 4, 0, 0, 1, 2, 0, 4, 1, 3, 1, 3, 4, 0, 1, 0, 0, 4, 2, 0, 2, 3, 0, 2, 0, 2, 2, 2, 3, 0, 3, 4, 3, 1, 2, 1, 4, 2, 1, 0, 1, 1, 2, 1, 0, 0, 3, 3, 3, 1, 4, 3, 2, 3, 1, 0, 1, 1, 2, 0, 2, 0, 3, 4, 0, 4, 3, 4, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 3, 3, 0, 2, 3, 2, 3, 0, 1, 1, 4, 4, 0, 4, 4, 0, 4, 1, 4, 2, 0, 1, 1, 3, 2, 0, 4, 3, 2, 0, 3, 3, 0, 3, 3, 2, 3] pubkeycol1209 = [2, 3, 3, 1, 1, 2, 4, 1, 0, 1, 0, 1, 4, 1, 3, 0, 3, 1, 2, 4, 0, 4, 2, 2, 2, 1, 4, 0, 1, 4, 4, 2, 1, 1, 1, 0, 1, 3, 0, 3, 0, 2, 4, 1, 4, 0, 0, 4, 1, 0, 3, 1, 2, 3, 3, 0, 1, 3, 3, 4, 3, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 4, 1, 1, 0, 1, 2, 0, 2, 4, 4, 2, 4, 0, 2, 1, 1, 1, 2, 2, 4, 3, 1, 0, 3, 3, 1, 4, 2, 0, 2, 0, 2, 4, 3, 1, 3, 1, 1, 0, 0, 0, 1, 0, 3, 4, 3, 3, 3, 1, 4, 0, 4, 1, 2, 1, 2, 3, 1, 4, 1, 3, 0, 0, 4, 4, 1, 3, 3, 4, 4, 0, 4, 0, 0, 1, 2, 3, 3, 1, 1, 0, 1, 0, 4, 2, 3, 0, 0, 3, 2, 2, 4, 4, 1, 3, 4, 2, 2, 4, 4, 1, 0, 0, 1, 1, 4, 2, 0, 4, 1, 3, 2, 1, 2, 2, 4, 3, 2, 0, 1, 3, 0, 0, 0, 2, 1, 4, 2, 0, 0, 2, 3, 0, 4, 4, 4, 3, 0, 4, 3, 4, 3, 0, 3, 0, 0, 4, 2, 3, 0, 2, 2, 2, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 3, 1, 4, 0, 1, 1, 3, 0, 3, 1, 1, 1, 0, 0, 2, 2, 4, 0, 3, 2, 3, 3, 0, 0, 0, 4, 3, 4, 4, 0, 0, 4, 3, 1, 3, 4, 1, 2, 0, 4, 4, 1, 4, 4, 4, 4, 4, 1, 4, 4, 1, 0, 0, 2, 0, 0, 0, 0, 3, 3, 2, 3, 2, 3, 1, 3, 0, 4, 3, 2, 2, 4, 2, 3, 0, 1, 4, 1, 1, 2, 0, 2, 1, 1, 3, 2, 3, 2, 2, 3, 4, 1, 0, 4, 3, 0, 0, 3, 4, 1, 0, 4, 4, 2, 4, 2, 2, 4, 0, 1, 2, 3, 2, 0, 1, 3, 0, 0, 2, 2, 4, 1, 0, 3, 1, 3, 2, 2, 0, 3, 4, 3, 3, 3, 4, 0, 2, 0, 1, 0, 1, 4, 1, 3, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 4, 3, 2, 0] pubkeycol1210 = [3, 0, 3, 4, 0, 4, 2, 4, 4, 1, 0, 0, 4, 3, 2, 4, 1, 0, 2, 0, 1, 3, 2, 3, 2, 3, 1, 2, 0, 0, 3, 3, 2, 3, 4, 3, 1, 0, 3, 4, 0, 2, 1, 0, 1, 4, 0, 4, 1, 2, 2, 0, 2, 0, 4, 3, 3, 4, 1, 2, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 3, 2, 4, 2, 1, 4, 3, 4, 2, 3, 0, 2, 2, 1, 4, 0, 0, 0, 4, 2, 1, 3, 3, 1, 4, 0, 4, 2, 1, 1, 0, 1, 1, 2, 4, 3, 1, 0, 1, 0, 3, 1, 4, 0, 2, 1, 1, 0, 3, 4, 0, 3, 2, 0, 3, 2, 0, 3, 0, 4, 3, 2, 1, 0, 0, 4, 4, 4, 4, 0, 3, 2, 4, 2, 0, 0, 3, 4, 2, 1, 3, 3, 4, 0, 0, 0, 0, 2, 0, 3, 2, 1, 0, 1, 1, 0, 4, 3, 2, 4, 1, 1, 2, 0, 1, 3, 3, 2, 2, 2, 0, 4, 3, 2, 1, 1, 0, 1, 4, 0, 0, 2, 1, 0, 1, 4, 2, 0, 4, 0, 2, 3, 0, 3, 4, 0, 1, 1, 4, 3, 3, 4, 4, 0, 4, 0, 1, 3, 0, 0, 0, 2, 1, 3, 4, 1, 1, 3, 4, 1, 1, 4, 4, 0, 2, 2, 1, 0, 2, 3, 3, 2, 4, 2, 3, 1, 2, 2, 2, 0, 2, 1, 4, 1, 1, 3, 3, 0, 4, 3, 0, 4, 3, 3, 2, 4, 3, 3, 4, 2, 4, 4, 2, 2, 0, 1, 4, 0, 4, 4, 1, 0, 0, 3, 2, 0, 4, 4, 4, 1, 3, 0, 3, 1, 1, 1, 3, 1, 3, 4, 3, 0, 4, 3, 2, 4, 3, 1, 4, 2, 2, 1, 4, 4, 0, 1, 3, 1, 0, 4, 3, 4, 2, 3, 0, 2, 0, 3, 2, 1, 1, 0, 3, 2, 1, 1, 2, 2, 1, 4, 0, 4, 0, 4, 1, 2, 4, 0, 3, 3, 3, 0, 4, 4, 0, 2, 2, 3, 4, 4, 4, 1, 3, 4, 1, 4, 0, 3, 4, 2, 0, 1, 1, 2, 3, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 4, 0, 1, 4, 4, 0, 4, 1, 1, 4, 4, 1, 0, 4, 4] pubkeycol1211 = [0, 3, 1, 0, 0, 1, 2, 4, 4, 1, 3, 2, 4, 3, 1, 4, 4, 3, 0, 4, 4, 4, 1, 4, 1, 0, 0, 3, 1, 0, 4, 1, 1, 0, 2, 4, 3, 4, 2, 2, 1, 4, 1, 2, 2, 2, 4, 3, 3, 2, 3, 1, 1, 1, 3, 0, 0, 4, 4, 2, 0, 0, 2, 4, 2, 2, 1, 1, 2, 2, 1, 0, 3, 1, 4, 3, 2, 4, 0, 1, 3, 3, 4, 4, 4, 1, 1, 2, 0, 3, 3, 2, 2, 0, 0, 2, 0, 2, 2, 3, 0, 3, 2, 3, 2, 0, 0, 4, 4, 2, 1, 4, 4, 3, 4, 3, 0, 2, 1, 2, 3, 3, 2, 4, 3, 0, 0, 0, 1, 3, 3, 3, 1, 2, 3, 1, 0, 0, 2, 1, 4, 2, 0, 4, 4, 1, 2, 0, 1, 3, 4, 1, 0, 1, 4, 4, 4, 2, 2, 0, 0, 3, 4, 2, 1, 2, 0, 1, 0, 1, 4, 1, 3, 0, 1, 3, 2, 3, 0, 0, 1, 4, 1, 0, 1, 2, 0, 3, 4, 0, 2, 3, 2, 3, 0, 0, 2, 3, 3, 4, 0, 2, 2, 4, 0, 1, 4, 3, 1, 1, 2, 1, 4, 4, 1, 4, 4, 2, 4, 2, 2, 1, 3, 2, 3, 2, 4, 4, 0, 1, 0, 3, 1, 1, 0, 2, 2, 0, 0, 3, 0, 1, 0, 2, 4, 3, 1, 4, 1, 0, 3, 2, 2, 2, 2, 1, 2, 4, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 2, 3, 4, 4, 4, 4, 2, 1, 4, 2, 1, 0, 3, 2, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 4, 1, 1, 3, 0, 3, 1, 4, 3, 4, 1, 0, 0, 0, 0, 2, 3, 3, 4, 4, 1, 3, 2, 1, 2, 4, 1, 0, 0, 3, 2, 3, 0, 0, 0, 1, 2, 1, 0, 4, 0, 3, 3, 4, 4, 0, 1, 1, 3, 0, 1, 0, 3, 1, 1, 1, 1, 3, 3, 4, 0, 0, 4, 4, 4, 3, 3, 1, 3, 0, 0, 0, 2, 4, 0, 3, 4, 1, 4, 1, 4, 0, 1, 2, 4, 4, 0, 3, 0, 2, 3, 3, 1, 2, 2, 3, 2, 0, 3, 4, 4, 3, 1, 0, 1, 3] pubkeycol1212 = [2, 0, 3, 3, 4, 2, 3, 1, 2, 2, 1, 3, 3, 1, 2, 2, 1, 4, 3, 4, 0, 4, 3, 1, 3, 0, 3, 1, 4, 4, 0, 1, 3, 1, 1, 0, 3, 1, 3, 4, 4, 1, 1, 0, 1, 3, 3, 3, 1, 1, 3, 4, 4, 0, 2, 3, 0, 2, 2, 4, 1, 2, 2, 0, 4, 2, 2, 1, 2, 0, 4, 2, 4, 4, 2, 1, 2, 3, 2, 3, 2, 1, 1, 3, 2, 3, 1, 1, 2, 0, 0, 3, 0, 0, 3, 0, 2, 3, 0, 3, 3, 2, 4, 4, 1, 0, 4, 1, 2, 4, 2, 0, 0, 3, 2, 3, 4, 0, 0, 4, 2, 0, 0, 1, 1, 0, 1, 0, 3, 0, 3, 4, 3, 3, 2, 3, 3, 3, 2, 1, 1, 1, 0, 3, 4, 4, 4, 4, 0, 2, 4, 4, 4, 0, 0, 4, 0, 1, 1, 1, 4, 2, 4, 0, 2, 0, 3, 0, 4, 1, 4, 0, 3, 2, 3, 3, 3, 4, 0, 1, 0, 0, 1, 3, 0, 0, 2, 3, 1, 4, 2, 0, 0, 3, 3, 2, 1, 0, 2, 4, 1, 3, 3, 3, 3, 4, 1, 0, 2, 2, 4, 2, 2, 1, 1, 0, 0, 4, 4, 3, 3, 1, 3, 3, 0, 1, 0, 1, 3, 4, 4, 1, 1, 1, 2, 4, 1, 0, 3, 4, 3, 0, 1, 2, 3, 3, 3, 2, 3, 3, 1, 4, 0, 0, 1, 0, 4, 4, 1, 2, 0, 1, 3, 3, 3, 0, 0, 2, 4, 0, 3, 2, 4, 1, 1, 4, 2, 3, 2, 3, 4, 4, 1, 1, 3, 1, 2, 1, 0, 1, 2, 2, 0, 1, 3, 4, 1, 3, 1, 2, 2, 3, 2, 0, 2, 1, 4, 3, 2, 4, 2, 4, 4, 2, 2, 3, 4, 4, 0, 3, 4, 0, 3, 0, 3, 3, 0, 4, 2, 1, 3, 2, 4, 2, 2, 1, 0, 1, 4, 0, 2, 4, 3, 2, 1, 3, 1, 2, 0, 0, 1, 3, 4, 2, 2, 0, 4, 4, 1, 3, 0, 1, 2, 3, 1, 0, 1, 2, 1, 2, 1, 3, 3, 4, 3, 4, 2, 4, 4, 3, 0, 2, 2, 1, 1, 3, 3, 1, 1, 2, 2, 2, 2, 2, 2, 4, 2, 0, 3, 0] pubkeycol1213 = [1, 0, 0, 3, 1, 4, 0, 3, 2, 2, 2, 1, 1, 0, 4, 4, 2, 0, 1, 1, 4, 0, 3, 2, 4, 1, 4, 4, 2, 2, 2, 0, 4, 0, 3, 0, 2, 4, 3, 0, 0, 4, 1, 2, 3, 2, 0, 3, 1, 4, 2, 1, 0, 3, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 3, 0, 1, 4, 3, 3, 3, 3, 4, 3, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 1, 4, 4, 4, 1, 0, 2, 2, 4, 2, 4, 0, 1, 2, 1, 2, 4, 3, 4, 0, 4, 0, 3, 3, 3, 2, 0, 0, 0, 3, 0, 3, 2, 2, 0, 1, 3, 0, 0, 3, 2, 3, 4, 0, 1, 4, 3, 0, 0, 2, 3, 3, 0, 1, 0, 0, 3, 2, 1, 3, 4, 2, 1, 3, 3, 0, 3, 4, 2, 3, 1, 4, 1, 3, 4, 2, 4, 1, 2, 1, 0, 1, 4, 2, 3, 1, 1, 1, 0, 2, 2, 0, 3, 0, 1, 0, 4, 0, 0, 4, 0, 0, 1, 3, 0, 2, 2, 2, 2, 0, 4, 3, 4, 4, 4, 3, 0, 3, 1, 3, 0, 2, 0, 1, 0, 2, 4, 3, 2, 1, 0, 2, 4, 2, 1, 3, 0, 1, 3, 4, 3, 3, 2, 2, 0, 2, 2, 1, 4, 0, 1, 2, 3, 1, 4, 4, 0, 0, 1, 4, 4, 4, 3, 2, 0, 1, 1, 0, 4, 4, 4, 0, 0, 2, 4, 4, 3, 1, 4, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, 1, 3, 2, 3, 4, 4, 3, 0, 0, 4, 1, 1, 2, 4, 1, 1, 0, 3, 2, 4, 4, 0, 3, 0, 4, 1, 2, 1, 2, 3, 2, 2, 1, 2, 1, 4, 2, 4, 3, 3, 0, 3, 1, 0, 0, 0, 4, 3, 2, 2, 1, 2, 3, 2, 2, 3, 0, 4, 1, 4, 2, 3, 1, 4, 4, 3, 4, 3, 3, 0, 2, 2, 0, 1, 4, 1, 2, 2, 3, 4, 2, 4, 2, 3, 3, 4, 3, 4, 1, 4, 4, 4, 1, 0, 0, 0, 0, 4, 2, 1, 1, 0, 4, 2, 0, 2, 2, 4, 1, 1, 2, 0, 1, 2, 3, 1, 1, 3, 2, 4, 2, 0, 4, 4, 1, 4] pubkeycol1214 = [2, 0, 3, 2, 2, 0, 4, 3, 0, 0, 1, 4, 3, 2, 1, 4, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 3, 4, 3, 2, 0, 2, 1, 1, 4, 1, 3, 2, 3, 0, 3, 4, 1, 0, 1, 1, 2, 4, 0, 2, 0, 0, 3, 3, 4, 2, 4, 3, 1, 0, 1, 1, 0, 4, 4, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 0, 1, 0, 0, 3, 2, 2, 0, 0, 1, 0, 1, 4, 1, 4, 3, 1, 0, 1, 1, 3, 1, 4, 3, 3, 2, 3, 1, 3, 3, 3, 1, 3, 3, 1, 3, 1, 3, 0, 4, 0, 2, 2, 1, 2, 2, 3, 2, 2, 0, 1, 4, 4, 3, 2, 2, 2, 0, 0, 4, 3, 0, 4, 2, 4, 2, 0, 3, 2, 4, 4, 1, 4, 3, 1, 2, 2, 4, 0, 2, 1, 4, 1, 3, 1, 4, 4, 2, 4, 2, 1, 0, 3, 4, 3, 1, 1, 4, 0, 3, 4, 4, 0, 0, 3, 3, 3, 0, 0, 3, 2, 3, 3, 2, 4, 2, 3, 1, 0, 0, 3, 0, 2, 1, 4, 4, 3, 4, 1, 4, 2, 1, 4, 4, 1, 4, 1, 1, 3, 4, 0, 0, 1, 4, 4, 1, 2, 1, 0, 1, 2, 0, 1, 0, 4, 2, 1, 3, 0, 0, 4, 4, 4, 1, 1, 1, 2, 4, 1, 1, 3, 4, 1, 2, 4, 0, 1, 2, 1, 3, 0, 1, 0, 3, 0, 4, 4, 1, 4, 3, 1, 1, 2, 4, 0, 3, 1, 3, 1, 0, 3, 4, 1, 3, 3, 3, 3, 0, 2, 2, 1, 2, 3, 2, 3, 0, 3, 3, 4, 3, 4, 1, 0, 0, 1, 3, 4, 0, 4, 1, 1, 3, 2, 2, 0, 3, 2, 1, 4, 3, 3, 2, 0, 0, 3, 1, 0, 1, 3, 4, 4, 1, 3, 1, 0, 2, 1, 0, 4, 0, 4, 2, 3, 4, 1, 2, 4, 1, 0, 4, 0, 2, 1, 4, 0, 4, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 3, 2, 3, 4, 3, 2, 2, 4, 0, 2, 2, 4, 4, 4, 4, 2, 3, 3, 0, 4, 0, 3, 0, 4, 3, 3, 4, 2, 0, 2, 3, 4, 3, 2, 1] pubkeycol1215 = [2, 0, 0, 3, 0, 0, 2, 1, 1, 2, 0, 2, 4, 1, 3, 2, 1, 4, 1, 3, 1, 3, 0, 3, 2, 2, 0, 3, 0, 1, 1, 3, 3, 4, 0, 0, 4, 2, 4, 3, 2, 3, 4, 3, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 4, 2, 4, 2, 4, 0, 4, 2, 2, 4, 1, 3, 4, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 3, 4, 2, 4, 0, 2, 0, 1, 2, 4, 2, 2, 4, 0, 2, 2, 3, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 4, 4, 4, 0, 0, 1, 3, 2, 0, 1, 0, 2, 1, 3, 1, 3, 4, 2, 0, 4, 3, 0, 3, 0, 1, 4, 1, 0, 4, 3, 4, 0, 0, 4, 3, 3, 1, 1, 3, 4, 0, 4, 3, 1, 0, 1, 4, 4, 4, 2, 4, 0, 3, 4, 1, 3, 3, 0, 3, 3, 3, 2, 2, 1, 2, 3, 3, 0, 4, 2, 4, 3, 0, 1, 0, 2, 4, 3, 2, 2, 0, 4, 1, 0, 2, 3, 4, 3, 2, 3, 1, 1, 1, 3, 0, 1, 3, 2, 0, 2, 2, 4, 3, 0, 4, 0, 2, 2, 2, 3, 2, 4, 0, 2, 4, 0, 2, 0, 3, 1, 0, 3, 4, 4, 2, 0, 4, 4, 0, 3, 0, 3, 4, 1, 3, 3, 0, 3, 3, 3, 1, 1, 1, 1, 0, 0, 4, 2, 1, 2, 0, 4, 2, 3, 4, 3, 2, 0, 0, 2, 3, 4, 2, 3, 1, 3, 2, 1, 1, 4, 4, 3, 0, 0, 2, 1, 4, 3, 1, 3, 2, 2, 0, 3, 2, 4, 0, 3, 2, 0, 4, 0, 4, 4, 3, 3, 3, 3, 2, 2, 0, 3, 2, 2, 1, 1, 2, 0, 4, 0, 3, 1, 2, 3, 2, 4, 4, 2, 3, 1, 1, 2, 0, 2, 4, 1, 4, 2, 0, 4, 4, 1, 1, 3, 2, 2, 1, 4, 4, 0, 3, 0, 1, 1, 4, 2, 2, 0, 0, 2, 3, 0, 2, 4, 2, 4, 0, 0, 1, 2, 0, 3, 3, 3, 0, 0, 1, 0, 2, 1, 0, 2, 4, 1, 2, 0, 0, 1, 3, 0, 4, 0, 3, 0, 4, 0, 0, 0, 3, 0, 1, 2, 4] pubkeycol1216 = [1, 4, 4, 1, 0, 3, 3, 3, 0, 0, 1, 3, 3, 1, 1, 1, 2, 2, 3, 3, 4, 3, 4, 0, 0, 4, 0, 2, 1, 4, 2, 4, 2, 0, 4, 2, 4, 2, 0, 1, 0, 2, 0, 3, 3, 1, 3, 1, 2, 0, 1, 3, 2, 2, 4, 2, 0, 4, 0, 3, 2, 0, 4, 3, 3, 1, 3, 0, 3, 4, 1, 4, 0, 1, 1, 4, 2, 3, 1, 3, 3, 1, 3, 3, 3, 1, 1, 2, 2, 2, 0, 1, 1, 1, 3, 2, 0, 3, 4, 4, 2, 4, 4, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 0, 4, 4, 1, 1, 0, 0, 2, 3, 0, 1, 3, 1, 0, 4, 3, 4, 3, 3, 0, 1, 1, 1, 4, 1, 3, 3, 4, 3, 4, 3, 2, 1, 0, 4, 4, 1, 4, 2, 3, 1, 1, 0, 1, 0, 3, 2, 0, 1, 1, 1, 2, 3, 1, 4, 0, 4, 4, 3, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 4, 1, 4, 1, 3, 4, 3, 4, 2, 0, 3, 2, 3, 4, 1, 0, 2, 4, 1, 0, 0, 3, 2, 3, 0, 0, 1, 2, 3, 4, 1, 4, 3, 2, 2, 2, 0, 1, 3, 1, 0, 1, 1, 1, 1, 3, 4, 4, 2, 1, 2, 0, 2, 4, 2, 2, 0, 0, 1, 3, 0, 0, 0, 3, 4, 4, 0, 1, 0, 1, 1, 3, 1, 0, 2, 0, 3, 0, 2, 4, 4, 3, 3, 0, 4, 0, 3, 2, 1, 3, 3, 1, 0, 3, 0, 2, 1, 3, 4, 3, 4, 0, 4, 4, 4, 1, 0, 1, 1, 1, 3, 0, 0, 3, 1, 2, 1, 1, 4, 4, 1, 3, 1, 1, 0, 3, 2, 2, 2, 0, 0, 4, 1, 4, 1, 3, 0, 2, 0, 1, 4, 4, 3, 1, 3, 3, 0, 4, 0, 0, 4, 3, 2, 3, 4, 0, 2, 3, 4, 2, 3, 2, 2, 2, 2, 2, 2, 2, 0, 4, 1, 2, 0, 1, 4, 1, 1, 2, 0, 2, 0, 3, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 4, 4, 2, 2, 0, 3, 0, 4, 1, 3, 1, 2, 1, 1, 3, 1, 0, 0, 1, 2, 3, 2, 3, 2, 0] pubkeycol1217 = [0, 0, 1, 0, 4, 3, 3, 0, 3, 3, 1, 3, 2, 0, 0, 2, 3, 3, 3, 0, 1, 3, 3, 2, 2, 3, 2, 3, 4, 1, 0, 4, 1, 3, 2, 4, 3, 1, 0, 1, 4, 2, 3, 4, 0, 2, 2, 2, 2, 4, 2, 1, 2, 2, 0, 2, 1, 1, 0, 3, 2, 0, 4, 3, 0, 1, 3, 1, 0, 0, 2, 4, 4, 4, 0, 1, 4, 1, 3, 1, 2, 4, 2, 2, 4, 3, 4, 0, 2, 3, 2, 4, 2, 3, 4, 1, 2, 0, 4, 0, 2, 2, 3, 4, 0, 1, 2, 3, 0, 3, 3, 1, 4, 1, 4, 2, 3, 2, 1, 1, 3, 1, 3, 2, 4, 3, 0, 1, 2, 2, 4, 4, 0, 4, 0, 4, 4, 3, 1, 4, 4, 4, 2, 4, 1, 1, 1, 3, 4, 1, 4, 4, 1, 3, 0, 4, 3, 4, 0, 1, 1, 1, 3, 0, 1, 2, 4, 1, 3, 4, 1, 3, 1, 1, 4, 1, 0, 3, 2, 1, 0, 4, 1, 1, 0, 0, 3, 1, 0, 4, 3, 3, 3, 3, 4, 2, 4, 4, 3, 2, 0, 2, 4, 4, 3, 2, 2, 2, 4, 1, 3, 0, 2, 2, 3, 4, 1, 0, 3, 2, 2, 1, 4, 1, 2, 0, 0, 1, 2, 3, 1, 3, 0, 4, 0, 0, 1, 4, 0, 4, 0, 3, 3, 1, 2, 4, 4, 4, 4, 2, 0, 3, 1, 0, 1, 1, 4, 2, 4, 2, 2, 1, 3, 4, 1, 2, 3, 4, 0, 2, 4, 0, 4, 2, 0, 1, 2, 4, 2, 4, 3, 0, 2, 0, 2, 3, 2, 1, 3, 3, 1, 0, 3, 0, 2, 1, 3, 0, 1, 3, 4, 0, 3, 2, 3, 1, 3, 2, 2, 0, 4, 4, 1, 1, 3, 1, 4, 3, 2, 0, 0, 4, 2, 0, 3, 1, 2, 2, 1, 4, 4, 4, 4, 0, 0, 4, 1, 4, 3, 1, 2, 0, 2, 4, 2, 4, 1, 2, 4, 3, 1, 3, 4, 2, 1, 1, 0, 4, 2, 0, 0, 1, 0, 3, 2, 0, 1, 0, 4, 3, 1, 2, 3, 4, 1, 4, 0, 0, 1, 4, 3, 1, 1, 4, 1, 4, 1, 1, 2, 4, 4, 3, 2, 0, 4, 2, 0, 3, 0, 1] pubkeycol1218 = [1, 0, 4, 4, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 3, 4, 1, 4, 4, 2, 4, 4, 3, 2, 3, 0, 3, 0, 1, 3, 2, 4, 0, 3, 2, 3, 4, 2, 0, 0, 0, 3, 3, 4, 1, 1, 2, 2, 1, 3, 0, 3, 0, 4, 1, 3, 0, 3, 3, 2, 4, 1, 2, 2, 0, 2, 1, 4, 4, 2, 4, 0, 2, 4, 2, 0, 1, 0, 1, 3, 2, 2, 0, 0, 1, 1, 1, 0, 3, 3, 3, 1, 0, 4, 0, 0, 2, 1, 1, 1, 0, 4, 4, 3, 0, 1, 4, 0, 3, 4, 0, 2, 4, 1, 0, 3, 4, 4, 3, 2, 2, 3, 3, 3, 0, 1, 3, 1, 2, 4, 2, 3, 2, 2, 0, 1, 1, 3, 4, 2, 3, 3, 3, 3, 0, 4, 2, 3, 2, 1, 1, 0, 3, 4, 1, 0, 1, 1, 2, 2, 1, 3, 3, 4, 3, 0, 1, 4, 3, 1, 2, 0, 4, 1, 3, 4, 2, 0, 1, 4, 3, 0, 1, 2, 3, 1, 3, 4, 4, 4, 2, 3, 4, 3, 0, 3, 0, 3, 0, 1, 4, 1, 2, 3, 1, 4, 0, 3, 0, 2, 1, 0, 0, 1, 2, 2, 0, 3, 0, 3, 2, 3, 0, 3, 0, 4, 1, 0, 0, 3, 2, 1, 0, 2, 3, 0, 2, 1, 0, 2, 1, 0, 0, 2, 3, 4, 3, 2, 0, 3, 3, 4, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 3, 0, 4, 2, 0, 3, 4, 0, 1, 3, 3, 1, 1, 4, 3, 1, 0, 2, 0, 4, 1, 0, 2, 0, 4, 0, 4, 1, 3, 3, 2, 0, 0, 2, 1, 4, 3, 3, 1, 4, 2, 3, 4, 2, 2, 3, 2, 3, 0, 1, 1, 0, 2, 1, 3, 4, 0, 0, 4, 2, 4, 0, 1, 1, 0, 2, 3, 3, 1, 0, 1, 4, 4, 0, 3, 2, 0, 0, 0, 4, 3, 2, 4, 2, 3, 0, 0, 3, 4, 0, 0, 3, 1, 3, 2, 0, 1, 1, 1, 4, 4, 3, 0, 2, 2, 4, 1, 3, 0, 2, 2, 2, 3, 3, 0, 3, 3, 3, 4, 1, 3, 0, 2, 1, 3, 1, 0, 3, 1, 2, 3, 2, 4, 3] pubkeycol1219 = [3, 3, 3, 1, 3, 1, 4, 3, 4, 0, 3, 3, 4, 2, 4, 1, 0, 1, 2, 4, 1, 4, 0, 3, 4, 0, 2, 1, 3, 4, 0, 1, 2, 0, 0, 1, 1, 4, 3, 0, 3, 3, 1, 0, 2, 4, 3, 0, 4, 3, 3, 3, 3, 2, 3, 4, 2, 4, 2, 0, 3, 4, 0, 3, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 3, 4, 2, 3, 2, 0, 4, 4, 0, 3, 0, 0, 1, 2, 4, 2, 0, 2, 0, 0, 3, 0, 3, 4, 2, 4, 1, 0, 2, 1, 4, 4, 2, 4, 4, 0, 4, 2, 4, 2, 3, 2, 4, 2, 4, 3, 4, 3, 3, 2, 4, 1, 2, 0, 4, 1, 2, 3, 3, 1, 1, 2, 4, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 3, 3, 3, 0, 3, 2, 0, 4, 1, 1, 3, 1, 0, 1, 2, 1, 1, 0, 1, 0, 4, 0, 4, 2, 0, 0, 4, 2, 4, 3, 0, 0, 1, 2, 4, 4, 4, 3, 3, 4, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 3, 4, 0, 0, 0, 1, 4, 1, 3, 4, 4, 1, 0, 0, 2, 2, 3, 0, 4, 1, 1, 4, 3, 2, 2, 0, 1, 2, 3, 2, 0, 1, 4, 2, 4, 3, 4, 0, 0, 2, 4, 1, 4, 4, 4, 2, 3, 1, 0, 4, 4, 3, 2, 0, 4, 4, 4, 2, 0, 0, 0, 2, 1, 2, 1, 4, 2, 3, 4, 4, 2, 0, 3, 0, 3, 0, 0, 1, 4, 2, 4, 4, 4, 2, 4, 2, 1, 0, 4, 4, 0, 2, 1, 0, 0, 4, 3, 1, 1, 4, 0, 0, 1, 0, 0, 4, 0, 4, 4, 1, 2, 4, 2, 2, 4, 4, 0, 3, 1, 1, 0, 2, 2, 3, 2, 3, 2, 2, 4, 4, 2, 3, 2, 4, 2, 3, 3, 1, 2, 4, 2, 1, 0, 3, 3, 3, 2, 2, 0, 4, 4, 4, 1, 3, 4, 3, 4, 1, 1, 1, 0, 1, 3, 4, 2, 1, 1, 4, 3, 3, 0, 0, 4, 1, 2, 0, 4, 4, 0, 4, 0, 1, 2, 3, 0, 4, 4, 2, 4, 0, 3, 4, 1, 2, 1, 1, 0, 0, 3, 0] pubkeycol1220 = [3, 2, 2, 1, 0, 1, 1, 1, 0, 4, 2, 2, 2, 2, 2, 2, 0, 4, 2, 1, 3, 2, 0, 4, 4, 4, 4, 4, 2, 1, 1, 4, 1, 1, 1, 4, 2, 0, 2, 3, 3, 1, 3, 0, 0, 4, 1, 1, 0, 3, 1, 3, 2, 1, 2, 3, 1, 2, 1, 4, 0, 0, 4, 4, 1, 2, 3, 4, 2, 0, 2, 0, 0, 4, 1, 3, 0, 4, 3, 3, 2, 0, 2, 3, 2, 2, 3, 2, 0, 1, 3, 2, 4, 1, 4, 0, 4, 3, 2, 3, 3, 3, 1, 0, 4, 2, 2, 3, 1, 3, 1, 1, 2, 2, 4, 0, 4, 4, 1, 1, 2, 3, 1, 2, 4, 2, 1, 4, 2, 2, 4, 1, 3, 4, 0, 3, 0, 2, 0, 0, 2, 3, 0, 0, 2, 1, 3, 4, 0, 4, 3, 0, 3, 3, 3, 1, 4, 0, 0, 0, 3, 4, 1, 4, 1, 2, 4, 0, 0, 2, 1, 4, 3, 3, 3, 1, 2, 1, 2, 3, 4, 2, 3, 0, 3, 1, 0, 4, 3, 2, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 4, 1, 1, 3, 0, 2, 4, 2, 4, 0, 3, 2, 2, 3, 4, 2, 2, 3, 1, 3, 1, 4, 1, 0, 3, 0, 2, 3, 3, 0, 0, 1, 0, 0, 0, 1, 3, 0, 0, 0, 3, 2, 2, 3, 3, 0, 2, 0, 1, 0, 2, 3, 0, 4, 3, 0, 0, 3, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 4, 2, 3, 4, 2, 3, 1, 0, 3, 3, 4, 0, 4, 2, 4, 2, 3, 2, 1, 0, 2, 3, 0, 0, 0, 4, 4, 4, 1, 3, 2, 0, 4, 3, 1, 3, 4, 2, 3, 0, 3, 2, 0, 4, 1, 2, 3, 3, 3, 4, 3, 2, 1, 4, 1, 2, 1, 3, 1, 3, 2, 1, 1, 4, 2, 0, 1, 2, 0, 4, 0, 0, 0, 0, 1, 0, 2, 0, 0, 4, 4, 2, 3, 4, 0, 0, 3, 0, 2, 1, 3, 2, 0, 4, 2, 0, 4, 3, 1, 3, 2, 2, 0, 4, 0, 3, 3, 4, 1, 4, 1, 4, 3, 0, 4, 1, 2, 2, 0, 2, 1, 0, 1, 4, 0, 3, 4, 4, 1, 4] pubkeycol1221 = [4, 1, 4, 1, 4, 0, 1, 2, 2, 1, 2, 4, 2, 2, 0, 3, 3, 1, 1, 3, 4, 4, 4, 0, 1, 1, 0, 0, 2, 1, 4, 3, 0, 1, 3, 2, 1, 1, 4, 1, 3, 1, 0, 1, 4, 4, 4, 1, 3, 2, 0, 3, 3, 0, 1, 4, 3, 3, 4, 4, 4, 1, 3, 0, 3, 4, 0, 1, 3, 2, 3, 0, 0, 2, 0, 1, 4, 0, 4, 2, 3, 0, 4, 0, 0, 0, 4, 2, 4, 3, 4, 4, 1, 4, 4, 1, 1, 0, 3, 3, 2, 0, 2, 1, 3, 1, 1, 3, 3, 2, 0, 3, 2, 1, 2, 3, 1, 4, 2, 2, 1, 2, 4, 0, 1, 2, 1, 2, 4, 0, 1, 3, 3, 3, 4, 4, 3, 2, 2, 1, 0, 4, 4, 0, 4, 4, 1, 1, 2, 1, 2, 1, 0, 3, 0, 4, 1, 1, 1, 0, 4, 3, 2, 1, 2, 1, 0, 4, 0, 4, 3, 3, 2, 4, 1, 2, 4, 4, 2, 3, 3, 2, 1, 1, 4, 2, 2, 4, 3, 0, 2, 2, 0, 3, 1, 3, 2, 0, 1, 0, 2, 4, 1, 1, 2, 4, 4, 3, 1, 4, 1, 4, 3, 1, 0, 1, 3, 2, 1, 2, 1, 1, 1, 1, 3, 3, 0, 4, 2, 4, 4, 4, 3, 1, 4, 4, 2, 1, 4, 0, 0, 2, 2, 0, 0, 3, 3, 3, 1, 2, 2, 4, 3, 2, 4, 0, 1, 1, 3, 3, 4, 1, 3, 0, 0, 1, 3, 4, 2, 0, 1, 2, 3, 1, 2, 3, 0, 0, 4, 1, 3, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 4, 3, 3, 2, 2, 2, 2, 1, 1, 2, 0, 4, 2, 1, 0, 4, 0, 2, 4, 0, 2, 4, 4, 2, 0, 4, 0, 4, 3, 1, 0, 4, 4, 3, 1, 3, 2, 1, 1, 3, 0, 4, 3, 1, 0, 3, 1, 2, 1, 0, 0, 4, 1, 3, 4, 3, 2, 1, 0, 4, 4, 4, 4, 0, 1, 2, 3, 3, 3, 2, 1, 2, 4, 1, 3, 3, 2, 4, 1, 0, 1, 1, 4, 3, 4, 2, 2, 0, 0, 1, 1, 3, 3, 2, 1, 2, 2, 3, 4, 1, 1, 0, 1, 4, 3, 4, 0, 1] pubkeycol1222 = [0, 2, 4, 3, 1, 3, 0, 2, 2, 0, 1, 3, 3, 2, 4, 0, 0, 4, 1, 3, 2, 1, 0, 1, 0, 3, 1, 0, 1, 2, 4, 1, 1, 4, 0, 1, 0, 1, 2, 2, 4, 0, 3, 4, 3, 1, 1, 1, 3, 2, 4, 0, 0, 1, 1, 4, 1, 0, 1, 3, 0, 0, 3, 2, 1, 3, 0, 1, 2, 2, 4, 0, 1, 1, 3, 4, 0, 4, 0, 3, 1, 4, 3, 1, 4, 4, 2, 2, 0, 4, 1, 0, 3, 1, 4, 3, 4, 2, 2, 4, 0, 3, 4, 1, 0, 0, 0, 0, 1, 3, 0, 3, 4, 4, 4, 0, 3, 0, 4, 3, 4, 4, 1, 0, 2, 1, 4, 0, 2, 4, 0, 3, 3, 4, 4, 2, 1, 4, 0, 0, 4, 4, 3, 0, 3, 0, 3, 2, 3, 3, 3, 0, 2, 1, 2, 0, 1, 4, 2, 3, 3, 3, 2, 3, 4, 2, 3, 0, 2, 0, 4, 2, 2, 1, 1, 3, 0, 0, 1, 2, 2, 4, 3, 4, 1, 2, 1, 3, 0, 2, 0, 4, 2, 2, 2, 3, 3, 0, 0, 3, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 4, 0, 3, 2, 0, 3, 4, 2, 3, 1, 3, 2, 3, 4, 3, 0, 0, 3, 3, 0, 4, 1, 1, 2, 0, 1, 3, 2, 0, 2, 3, 2, 1, 3, 1, 0, 2, 0, 2, 4, 4, 4, 4, 2, 0, 4, 2, 4, 0, 3, 1, 0, 2, 1, 0, 3, 1, 0, 1, 4, 0, 2, 3, 1, 0, 1, 3, 4, 0, 1, 0, 3, 0, 1, 1, 3, 2, 2, 4, 2, 3, 2, 4, 1, 0, 4, 0, 3, 4, 1, 0, 0, 3, 4, 1, 0, 3, 2, 2, 0, 2, 4, 0, 4, 2, 4, 1, 0, 1, 2, 1, 2, 3, 1, 4, 3, 1, 0, 2, 3, 3, 4, 3, 0, 3, 3, 1, 1, 2, 0, 0, 0, 1, 0, 4, 2, 0, 0, 4, 1, 3, 1, 4, 1, 3, 3, 3, 1, 4, 3, 4, 0, 0, 3, 1, 1, 2, 2, 0, 4, 1, 4, 4, 4, 0, 1, 1, 3, 3, 4, 4, 4, 2, 3, 0, 2, 0, 2, 3, 3, 4, 0, 3, 4, 2, 3, 4, 2] pubkeycol1223 = [4, 3, 3, 2, 3, 4, 3, 4, 3, 2, 2, 1, 3, 2, 4, 3, 0, 2, 4, 2, 4, 1, 2, 3, 2, 3, 1, 2, 0, 0, 3, 3, 2, 3, 3, 2, 4, 4, 3, 0, 1, 3, 2, 2, 2, 4, 0, 1, 4, 1, 1, 1, 4, 4, 1, 1, 1, 3, 3, 2, 2, 1, 1, 3, 0, 3, 3, 4, 2, 3, 2, 2, 0, 1, 2, 2, 2, 2, 3, 4, 4, 4, 3, 0, 1, 2, 3, 1, 4, 4, 0, 0, 3, 3, 1, 0, 3, 2, 4, 3, 4, 4, 3, 1, 1, 3, 0, 2, 0, 2, 0, 4, 0, 0, 3, 4, 1, 1, 2, 1, 1, 2, 2, 4, 1, 3, 0, 3, 0, 1, 0, 3, 0, 4, 1, 4, 3, 4, 2, 0, 0, 1, 1, 3, 2, 3, 3, 3, 1, 0, 2, 4, 4, 3, 3, 2, 4, 1, 0, 4, 3, 1, 4, 4, 2, 0, 4, 0, 2, 4, 2, 2, 3, 3, 4, 0, 3, 1, 1, 4, 2, 3, 2, 4, 4, 2, 1, 3, 3, 3, 0, 1, 4, 2, 2, 1, 2, 1, 1, 4, 0, 1, 0, 1, 2, 2, 1, 1, 0, 4, 1, 2, 4, 1, 0, 2, 4, 4, 4, 2, 0, 3, 4, 1, 4, 1, 3, 2, 2, 2, 1, 3, 4, 3, 3, 0, 3, 0, 2, 0, 4, 4, 0, 4, 1, 4, 2, 2, 1, 2, 4, 0, 2, 1, 1, 0, 2, 1, 3, 2, 0, 4, 3, 2, 0, 1, 4, 1, 2, 2, 4, 0, 4, 1, 2, 1, 3, 4, 3, 4, 0, 3, 2, 3, 0, 0, 4, 3, 3, 4, 2, 2, 2, 1, 4, 4, 0, 1, 4, 2, 4, 4, 3, 3, 4, 2, 0, 0, 1, 3, 3, 4, 1, 1, 2, 3, 4, 3, 4, 1, 0, 1, 3, 4, 2, 2, 2, 3, 1, 0, 0, 1, 4, 0, 1, 2, 2, 1, 1, 2, 2, 2, 3, 3, 2, 3, 2, 1, 1, 1, 2, 4, 3, 3, 4, 3, 3, 3, 4, 3, 0, 0, 4, 0, 1, 0, 4, 2, 0, 3, 3, 3, 2, 1, 3, 4, 0, 2, 0, 3, 4, 1, 0, 1, 3, 4, 4, 3, 0, 2, 4, 0, 1, 4, 2, 4, 4, 3, 0, 1] pubkeycol1224 = [1, 0, 0, 3, 0, 4, 1, 1, 3, 3, 4, 3, 3, 3, 1, 1, 4, 4, 1, 1, 0, 2, 3, 3, 3, 0, 1, 1, 3, 1, 1, 1, 3, 3, 2, 4, 1, 3, 2, 0, 3, 0, 2, 2, 2, 2, 3, 2, 4, 2, 2, 4, 4, 1, 1, 3, 1, 2, 1, 2, 1, 0, 0, 1, 1, 4, 0, 4, 4, 4, 3, 4, 3, 0, 4, 2, 4, 1, 0, 4, 0, 4, 0, 1, 0, 0, 0, 4, 3, 0, 4, 2, 4, 2, 0, 3, 0, 1, 4, 4, 3, 2, 2, 2, 3, 0, 2, 1, 3, 4, 4, 4, 3, 0, 0, 4, 3, 4, 0, 4, 2, 2, 0, 3, 4, 4, 0, 3, 1, 1, 1, 2, 2, 0, 3, 4, 4, 1, 2, 0, 3, 2, 1, 0, 2, 2, 3, 4, 2, 4, 3, 2, 2, 4, 0, 4, 1, 0, 4, 1, 4, 0, 4, 2, 2, 0, 4, 2, 3, 1, 4, 1, 0, 1, 2, 1, 1, 0, 4, 3, 2, 4, 0, 4, 0, 2, 4, 1, 2, 4, 1, 3, 0, 0, 4, 3, 0, 4, 3, 1, 1, 0, 2, 1, 2, 2, 3, 2, 3, 2, 0, 1, 0, 2, 0, 3, 3, 1, 1, 1, 4, 3, 2, 2, 1, 3, 4, 0, 4, 4, 2, 4, 3, 2, 0, 4, 3, 3, 3, 4, 4, 4, 2, 1, 0, 0, 2, 2, 3, 3, 4, 4, 2, 1, 3, 0, 3, 3, 3, 3, 4, 0, 0, 3, 3, 0, 1, 1, 0, 2, 3, 0, 1, 2, 3, 3, 1, 4, 4, 1, 1, 1, 0, 1, 4, 4, 1, 0, 4, 0, 3, 3, 1, 2, 0, 4, 1, 3, 2, 2, 2, 2, 4, 0, 4, 3, 1, 0, 4, 1, 0, 0, 3, 4, 1, 0, 0, 3, 1, 0, 4, 1, 1, 0, 2, 0, 3, 4, 3, 1, 2, 4, 4, 4, 1, 1, 3, 3, 0, 0, 3, 1, 0, 3, 0, 4, 1, 0, 0, 4, 2, 3, 2, 4, 2, 2, 0, 3, 1, 4, 0, 2, 4, 3, 4, 4, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 3, 3, 2, 4, 0, 4, 1, 0, 0, 2, 3, 3, 2, 2, 1, 3, 1, 2, 4, 1, 3, 1, 2, 4] pubkeycol1225 = [1, 4, 2, 0, 2, 1, 4, 0, 0, 4, 4, 0, 0, 4, 3, 4, 2, 0, 1, 0, 3, 2, 1, 3, 0, 4, 0, 3, 0, 3, 4, 3, 0, 1, 4, 0, 4, 3, 2, 1, 4, 3, 0, 4, 3, 0, 0, 0, 1, 2, 0, 4, 2, 1, 3, 2, 4, 0, 4, 1, 4, 4, 0, 4, 3, 2, 2, 0, 4, 4, 1, 0, 2, 0, 3, 2, 1, 4, 0, 2, 3, 3, 2, 2, 3, 3, 4, 4, 3, 0, 0, 1, 2, 1, 3, 0, 0, 2, 4, 3, 1, 3, 0, 0, 0, 3, 0, 1, 4, 2, 4, 1, 1, 0, 3, 0, 0, 1, 2, 3, 2, 2, 1, 4, 2, 3, 2, 3, 0, 0, 4, 2, 1, 4, 4, 2, 4, 0, 3, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 0, 2, 3, 1, 2, 1, 4, 0, 2, 0, 2, 3, 1, 0, 0, 1, 2, 4, 3, 2, 3, 2, 0, 0, 0, 4, 0, 2, 3, 2, 3, 1, 0, 1, 1, 3, 2, 0, 0, 4, 1, 1, 4, 2, 2, 1, 4, 1, 1, 3, 3, 2, 4, 3, 4, 0, 1, 1, 2, 2, 3, 3, 4, 0, 2, 4, 2, 1, 1, 3, 4, 3, 1, 2, 0, 4, 1, 0, 3, 4, 0, 0, 1, 3, 4, 3, 0, 3, 0, 4, 2, 1, 3, 3, 3, 3, 2, 0, 4, 3, 1, 2, 0, 1, 3, 3, 3, 0, 0, 4, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 2, 2, 4, 4, 1, 4, 4, 0, 1, 1, 4, 3, 2, 4, 2, 0, 1, 0, 2, 1, 2, 3, 4, 0, 2, 2, 3, 1, 3, 1, 1, 1, 1, 2, 0, 3, 0, 2, 1, 2, 1, 1, 3, 0, 0, 2, 2, 4, 1, 1, 4, 1, 1, 2, 2, 1, 1, 2, 1, 3, 2, 2, 4, 4, 3, 4, 1, 2, 0, 0, 0, 3, 3, 2, 4, 1, 0, 1, 3, 2, 3, 4, 0, 4, 0, 4, 2, 4, 2, 2, 3, 3, 3, 2, 0, 2, 3, 3, 0, 1, 2, 2, 2, 3, 0, 1, 3, 3, 4, 3, 3, 3, 4, 2, 3, 1, 1, 1, 3, 3, 0, 3, 3, 4, 1, 4, 0, 0, 0, 3, 4] pubkeycol1226 = [3, 1, 0, 4, 0, 3, 2, 4, 3, 2, 2, 1, 4, 1, 1, 1, 3, 0, 0, 4, 4, 3, 4, 3, 1, 3, 1, 1, 4, 1, 4, 2, 0, 3, 0, 4, 2, 2, 2, 0, 0, 1, 2, 4, 0, 0, 1, 0, 1, 1, 0, 4, 4, 4, 2, 1, 0, 1, 2, 2, 3, 0, 4, 3, 0, 1, 4, 0, 0, 4, 0, 4, 0, 0, 4, 3, 0, 0, 3, 1, 0, 1, 4, 3, 2, 1, 0, 2, 2, 4, 4, 0, 3, 2, 1, 3, 0, 3, 0, 4, 3, 0, 1, 4, 2, 4, 3, 2, 4, 1, 2, 3, 3, 2, 2, 1, 2, 3, 2, 0, 3, 3, 1, 2, 1, 4, 0, 0, 1, 3, 1, 0, 2, 1, 2, 1, 4, 4, 0, 0, 3, 0, 1, 2, 3, 2, 1, 4, 0, 0, 0, 2, 3, 0, 0, 4, 0, 0, 4, 0, 1, 4, 0, 3, 2, 3, 0, 3, 0, 1, 3, 4, 0, 2, 4, 2, 3, 0, 1, 0, 4, 4, 2, 0, 4, 0, 0, 2, 1, 1, 0, 3, 3, 2, 2, 4, 2, 0, 1, 4, 1, 4, 0, 1, 2, 0, 4, 1, 4, 1, 1, 1, 3, 0, 2, 1, 2, 2, 4, 1, 3, 2, 1, 1, 1, 3, 0, 1, 0, 1, 0, 3, 0, 2, 2, 1, 2, 0, 0, 4, 4, 3, 0, 3, 2, 1, 4, 0, 0, 3, 1, 3, 3, 1, 1, 2, 4, 0, 0, 3, 0, 3, 2, 4, 4, 1, 4, 0, 2, 1, 0, 1, 4, 1, 2, 1, 4, 0, 4, 4, 3, 4, 4, 0, 0, 0, 4, 1, 2, 0, 2, 3, 4, 3, 0, 3, 1, 3, 3, 0, 2, 0, 4, 1, 0, 4, 4, 0, 0, 0, 1, 0, 1, 0, 4, 1, 0, 4, 0, 2, 4, 0, 4, 0, 3, 1, 1, 4, 2, 1, 3, 1, 4, 0, 4, 0, 3, 4, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 0, 2, 4, 0, 4, 4, 2, 2, 1, 4, 4, 1, 1, 0, 1, 2, 2, 3, 2, 1, 4, 1, 1, 0, 0, 4, 1, 0, 2, 3, 3, 3, 0, 1, 2, 3, 3, 4, 3, 1, 4, 1, 1, 2, 2, 0, 0, 4, 0, 3, 2] pubkeycol1227 = [1, 3, 1, 1, 1, 2, 2, 1, 2, 3, 4, 4, 4, 0, 1, 0, 2, 1, 0, 4, 4, 0, 2, 1, 3, 0, 2, 4, 4, 1, 1, 4, 3, 2, 1, 2, 3, 4, 2, 4, 4, 1, 0, 4, 0, 3, 3, 2, 3, 1, 0, 1, 2, 2, 1, 0, 0, 1, 4, 3, 3, 3, 2, 4, 3, 0, 2, 0, 4, 3, 1, 3, 3, 3, 4, 4, 4, 4, 1, 4, 2, 3, 1, 2, 2, 4, 0, 2, 2, 4, 4, 3, 2, 4, 0, 1, 1, 3, 1, 2, 4, 4, 4, 1, 2, 1, 2, 4, 1, 3, 0, 0, 2, 3, 3, 1, 3, 0, 2, 2, 3, 2, 0, 4, 4, 2, 0, 1, 0, 4, 1, 0, 2, 1, 0, 1, 4, 4, 1, 1, 2, 2, 4, 1, 0, 3, 1, 0, 2, 0, 4, 4, 0, 1, 4, 1, 2, 0, 2, 2, 1, 0, 2, 1, 4, 2, 2, 2, 1, 4, 4, 2, 2, 3, 0, 1, 2, 1, 0, 1, 3, 2, 1, 2, 0, 0, 2, 4, 2, 0, 1, 4, 1, 3, 3, 0, 2, 0, 2, 4, 0, 0, 3, 1, 3, 2, 3, 1, 3, 3, 4, 2, 1, 0, 3, 0, 1, 1, 1, 2, 4, 4, 1, 3, 2, 2, 0, 3, 3, 0, 1, 0, 3, 4, 3, 0, 3, 0, 3, 3, 2, 4, 4, 0, 2, 4, 0, 1, 2, 4, 2, 0, 4, 1, 0, 3, 3, 4, 0, 1, 1, 4, 4, 1, 4, 4, 0, 1, 3, 2, 0, 2, 0, 3, 0, 3, 3, 4, 1, 1, 1, 0, 3, 2, 1, 4, 3, 3, 0, 1, 0, 1, 0, 1, 2, 0, 2, 3, 4, 3, 3, 0, 2, 0, 2, 3, 2, 2, 3, 0, 4, 4, 2, 0, 1, 1, 4, 1, 0, 2, 1, 3, 3, 3, 1, 2, 0, 2, 2, 4, 2, 4, 0, 2, 4, 4, 0, 3, 4, 1, 0, 4, 0, 3, 3, 4, 1, 1, 0, 1, 3, 1, 0, 3, 1, 0, 4, 0, 3, 0, 2, 2, 3, 2, 2, 4, 2, 2, 2, 1, 0, 3, 0, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 2, 2, 1, 1, 4, 0, 1, 3, 2, 4, 0, 2, 3, 2, 2, 4, 0] pubkeycol1228 = [4, 2, 1, 2, 4, 1, 3, 0, 0, 3, 2, 3, 4, 4, 2, 2, 3, 0, 2, 3, 2, 2, 1, 0, 1, 0, 3, 2, 0, 1, 4, 1, 2, 4, 0, 0, 0, 0, 4, 4, 1, 2, 3, 2, 0, 1, 4, 3, 3, 4, 0, 0, 4, 3, 2, 1, 3, 2, 1, 0, 4, 2, 1, 0, 2, 3, 4, 4, 1, 0, 1, 4, 2, 3, 2, 3, 4, 3, 2, 0, 4, 1, 4, 1, 1, 2, 2, 0, 4, 2, 2, 0, 3, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 4, 4, 4, 2, 0, 2, 4, 0, 1, 2, 1, 4, 2, 1, 2, 2, 1, 1, 2, 3, 2, 0, 2, 1, 4, 3, 3, 2, 3, 3, 0, 0, 2, 1, 2, 0, 2, 1, 3, 2, 3, 4, 2, 1, 2, 0, 1, 0, 4, 4, 2, 1, 4, 2, 2, 3, 4, 3, 4, 0, 2, 1, 2, 2, 0, 3, 0, 0, 0, 4, 4, 0, 2, 0, 2, 3, 0, 4, 0, 3, 2, 1, 1, 3, 2, 1, 2, 2, 0, 1, 3, 2, 2, 2, 0, 3, 4, 3, 3, 0, 2, 1, 2, 1, 1, 2, 2, 3, 3, 3, 1, 4, 2, 3, 3, 2, 2, 2, 3, 0, 3, 4, 3, 3, 3, 0, 3, 4, 4, 4, 3, 1, 3, 1, 1, 0, 2, 2, 0, 3, 4, 4, 1, 1, 3, 1, 0, 0, 3, 2, 3, 0, 3, 3, 0, 0, 3, 2, 3, 0, 3, 0, 1, 4, 1, 0, 0, 0, 4, 2, 4, 0, 2, 0, 0, 0, 4, 4, 2, 2, 1, 1, 4, 4, 0, 3, 1, 4, 2, 0, 4, 4, 2, 0, 0, 4, 4, 0, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 2, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 4, 3, 3, 3, 4, 1, 4, 3, 4, 4, 3, 1, 4, 4, 3, 3, 3, 2, 3, 0, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 0, 0, 1, 3, 4, 0, 4, 3, 0, 2, 1, 4, 4, 3, 3, 0, 2, 1, 2, 3, 0, 1, 1, 4, 2, 0, 2, 2, 0, 2, 1, 2, 3, 2, 3, 4, 4, 1, 3, 0, 1, 0, 0, 2, 2, 3] pubkeycol1229 = [1, 1, 4, 3, 0, 4, 1, 4, 4, 3, 2, 4, 2, 1, 2, 3, 0, 3, 0, 3, 0, 0, 4, 2, 1, 1, 1, 4, 4, 0, 4, 4, 2, 1, 2, 1, 1, 2, 1, 4, 3, 1, 3, 1, 4, 0, 4, 0, 4, 3, 3, 4, 1, 0, 0, 4, 3, 0, 3, 0, 3, 3, 2, 4, 0, 1, 2, 0, 4, 2, 2, 0, 3, 4, 2, 4, 4, 4, 4, 0, 0, 1, 0, 3, 0, 1, 4, 1, 1, 1, 4, 4, 4, 1, 3, 3, 3, 4, 3, 0, 1, 2, 0, 1, 4, 1, 3, 0, 1, 0, 3, 2, 3, 2, 2, 4, 4, 3, 0, 1, 3, 1, 3, 4, 3, 1, 3, 4, 0, 1, 3, 4, 3, 2, 1, 4, 1, 2, 0, 0, 0, 3, 0, 2, 2, 4, 0, 1, 0, 4, 0, 1, 3, 4, 4, 2, 2, 4, 0, 0, 4, 3, 2, 4, 0, 1, 2, 1, 2, 1, 0, 1, 1, 4, 2, 0, 1, 0, 3, 2, 0, 3, 0, 0, 4, 0, 4, 1, 0, 3, 1, 2, 3, 0, 1, 2, 3, 2, 1, 0, 1, 1, 3, 4, 2, 4, 4, 3, 3, 4, 2, 2, 4, 1, 4, 3, 4, 0, 4, 3, 3, 1, 0, 4, 1, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 2, 2, 3, 4, 3, 4, 0, 3, 3, 4, 3, 1, 4, 2, 2, 0, 2, 4, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 1, 2, 2, 2, 0, 4, 4, 2, 4, 2, 2, 4, 3, 3, 1, 2, 3, 2, 4, 1, 3, 0, 2, 4, 1, 4, 3, 1, 0, 3, 1, 2, 2, 2, 2, 3, 3, 0, 3, 1, 0, 0, 1, 0, 0, 2, 3, 3, 1, 1, 2, 3, 1, 4, 2, 2, 1, 4, 4, 4, 4, 4, 1, 1, 4, 1, 3, 2, 2, 2, 2, 2, 2, 0, 1, 0, 3, 3, 4, 3, 3, 4, 0, 1, 1, 0, 0, 4, 0, 3, 1, 2, 0, 3, 2, 0, 3, 4, 3, 1, 3, 4, 1, 1, 1, 1, 1, 3, 2, 0, 2, 4, 0, 4, 3, 1, 0, 2, 3, 0, 0, 2, 4, 2, 3, 0, 4, 4, 3, 1, 2, 3, 0, 3, 2] pubkeycol1230 = [1, 4, 3, 3, 0, 0, 0, 3, 3, 1, 0, 4, 4, 2, 2, 1, 1, 4, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 4, 1, 4, 0, 4, 4, 1, 0, 3, 1, 2, 2, 4, 2, 1, 1, 2, 2, 2, 1, 3, 4, 4, 2, 0, 1, 2, 3, 1, 4, 0, 4, 3, 3, 2, 1, 1, 4, 1, 4, 1, 3, 4, 3, 0, 4, 1, 3, 4, 3, 3, 0, 4, 2, 1, 3, 2, 1, 4, 4, 1, 3, 0, 3, 3, 2, 2, 0, 3, 2, 1, 0, 2, 3, 4, 3, 2, 0, 0, 0, 4, 4, 0, 1, 2, 0, 1, 2, 3, 0, 3, 3, 2, 2, 3, 3, 2, 4, 1, 1, 3, 3, 2, 3, 0, 4, 2, 0, 3, 3, 4, 1, 3, 2, 3, 1, 4, 4, 2, 1, 2, 3, 2, 4, 0, 0, 1, 2, 3, 2, 3, 4, 2, 4, 3, 1, 4, 4, 0, 0, 0, 3, 0, 0, 3, 4, 2, 0, 3, 2, 4, 1, 2, 2, 2, 3, 2, 4, 1, 4, 4, 3, 3, 1, 4, 2, 3, 1, 1, 0, 1, 3, 4, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 4, 1, 4, 0, 2, 3, 0, 3, 1, 1, 0, 4, 2, 1, 1, 0, 0, 3, 2, 2, 2, 4, 3, 2, 1, 1, 2, 1, 2, 3, 0, 2, 2, 3, 4, 2, 1, 2, 4, 0, 1, 3, 4, 2, 3, 3, 3, 2, 2, 1, 4, 4, 4, 0, 0, 4, 1, 3, 4, 1, 3, 1, 1, 3, 1, 4, 0, 2, 0, 0, 0, 3, 0, 0, 2, 0, 1, 4, 1, 0, 3, 2, 2, 4, 0, 3, 0, 1, 0, 2, 4, 0, 1, 4, 0, 0, 0, 0, 0, 3, 3, 4, 2, 4, 2, 2, 0, 2, 0, 2, 2, 2, 4, 4, 1, 3, 4, 3, 1, 0, 3, 3, 2, 2, 2, 4, 0, 1, 0, 2, 2, 0, 2, 1, 3, 4, 3, 1, 2, 0, 1, 4, 2, 1, 0, 0, 1, 4, 2, 2, 2, 3, 1, 1, 2, 1, 1, 0, 2, 4, 0, 2, 3, 0, 0, 4, 0, 3, 1, 3, 0, 0, 3, 3, 3, 4, 4, 3, 4, 3, 3, 2, 2, 3, 0, 2, 1] pubkeycol1231 = [1, 4, 2, 3, 2, 0, 1, 1, 2, 2, 3, 0, 2, 3, 4, 2, 0, 2, 1, 1, 1, 4, 1, 1, 3, 4, 3, 2, 3, 4, 4, 1, 1, 4, 2, 4, 0, 1, 1, 1, 3, 0, 3, 4, 1, 1, 2, 4, 4, 4, 3, 3, 3, 4, 0, 0, 3, 4, 0, 3, 2, 3, 1, 0, 2, 2, 1, 2, 3, 2, 0, 0, 0, 2, 3, 4, 3, 3, 4, 1, 3, 1, 3, 2, 3, 3, 0, 1, 0, 2, 4, 4, 1, 2, 2, 3, 3, 0, 0, 0, 1, 2, 1, 3, 3, 1, 4, 0, 2, 4, 0, 2, 0, 0, 1, 3, 3, 3, 2, 3, 2, 2, 0, 4, 0, 1, 0, 4, 4, 4, 1, 4, 4, 0, 1, 4, 4, 3, 0, 2, 1, 3, 2, 0, 1, 0, 1, 0, 4, 2, 4, 0, 3, 2, 1, 2, 2, 1, 3, 4, 2, 0, 1, 2, 2, 4, 1, 2, 4, 1, 0, 4, 0, 1, 4, 2, 1, 4, 1, 0, 2, 4, 1, 1, 1, 0, 4, 1, 0, 3, 3, 1, 1, 3, 0, 4, 2, 2, 3, 1, 2, 1, 4, 3, 2, 2, 4, 1, 4, 4, 3, 4, 3, 0, 1, 4, 4, 2, 1, 1, 0, 2, 2, 4, 0, 3, 3, 0, 1, 3, 3, 2, 0, 3, 2, 0, 4, 3, 1, 4, 3, 4, 0, 3, 1, 4, 2, 1, 4, 4, 3, 1, 4, 0, 4, 4, 4, 4, 1, 4, 3, 2, 1, 2, 0, 1, 3, 3, 2, 1, 0, 3, 3, 1, 3, 0, 0, 0, 1, 0, 3, 1, 3, 4, 3, 2, 3, 2, 4, 2, 3, 3, 0, 1, 1, 1, 4, 1, 0, 0, 4, 2, 0, 3, 3, 4, 1, 3, 0, 1, 3, 4, 0, 2, 3, 0, 4, 2, 0, 1, 0, 1, 2, 4, 3, 1, 0, 1, 3, 0, 0, 3, 2, 4, 2, 2, 3, 3, 1, 2, 1, 3, 4, 4, 2, 1, 1, 2, 3, 0, 2, 2, 3, 1, 2, 3, 0, 0, 4, 4, 2, 3, 3, 2, 3, 2, 3, 0, 3, 3, 2, 0, 3, 1, 1, 0, 4, 2, 2, 1, 3, 2, 0, 3, 4, 2, 0, 0, 3, 2, 4, 2, 2, 2, 3, 2, 4, 4, 1, 0] pubkeycol1232 = [0, 2, 3, 0, 2, 4, 2, 1, 4, 2, 2, 4, 2, 4, 3, 4, 0, 0, 1, 3, 4, 4, 0, 1, 1, 0, 0, 2, 4, 0, 1, 0, 4, 1, 2, 1, 2, 4, 1, 0, 3, 2, 0, 2, 3, 3, 0, 0, 3, 0, 1, 2, 3, 0, 2, 0, 1, 0, 0, 0, 3, 0, 4, 2, 1, 4, 1, 0, 0, 2, 0, 3, 1, 0, 1, 0, 0, 0, 4, 4, 3, 3, 2, 3, 4, 2, 1, 1, 0, 2, 2, 1, 3, 1, 0, 3, 0, 0, 1, 2, 3, 4, 2, 1, 3, 3, 4, 4, 4, 3, 0, 0, 1, 1, 2, 2, 1, 2, 0, 4, 0, 4, 4, 1, 1, 2, 0, 2, 1, 0, 2, 4, 0, 1, 3, 2, 3, 0, 0, 1, 1, 1, 1, 0, 3, 1, 4, 4, 4, 0, 1, 3, 1, 1, 4, 1, 0, 1, 4, 3, 1, 0, 2, 4, 4, 3, 2, 0, 4, 2, 1, 4, 2, 1, 0, 1, 3, 1, 3, 4, 2, 0, 2, 2, 1, 0, 4, 2, 4, 1, 2, 0, 2, 1, 0, 3, 2, 4, 3, 3, 1, 3, 3, 3, 1, 4, 0, 1, 3, 3, 2, 3, 3, 0, 4, 2, 3, 3, 2, 1, 4, 4, 2, 1, 4, 2, 1, 3, 0, 3, 2, 3, 1, 1, 3, 3, 3, 2, 0, 4, 2, 0, 3, 3, 0, 4, 0, 0, 2, 4, 0, 2, 2, 0, 1, 4, 1, 0, 0, 1, 0, 4, 2, 3, 0, 3, 2, 0, 0, 3, 0, 4, 1, 3, 3, 0, 4, 2, 0, 0, 2, 4, 1, 2, 3, 3, 0, 3, 1, 4, 1, 0, 2, 2, 3, 4, 3, 3, 0, 3, 0, 1, 3, 1, 3, 2, 3, 1, 3, 2, 4, 1, 1, 3, 4, 4, 3, 2, 2, 2, 1, 1, 0, 4, 1, 1, 2, 4, 4, 1, 0, 1, 1, 4, 2, 0, 3, 2, 0, 4, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 3, 4, 1, 0, 1, 3, 0, 3, 3, 0, 2, 0, 0, 3, 1, 0, 1, 1, 4, 2, 1, 0, 1, 2, 2, 3, 0, 2, 2, 0, 1, 4, 3, 2, 0, 1, 4, 2, 4, 3, 2, 1, 4, 2, 3, 2, 3, 2, 1, 2] pubkeycol1233 = [2, 1, 4, 4, 4, 4, 0, 3, 3, 3, 1, 0, 0, 1, 2, 4, 0, 1, 0, 3, 3, 0, 2, 3, 0, 4, 4, 0, 3, 1, 4, 4, 1, 1, 1, 0, 2, 0, 4, 2, 0, 4, 1, 4, 4, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 4, 0, 4, 1, 3, 0, 1, 3, 3, 1, 1, 0, 4, 0, 1, 4, 1, 2, 2, 0, 4, 1, 4, 2, 3, 4, 1, 3, 4, 2, 4, 3, 4, 0, 1, 4, 1, 3, 4, 2, 0, 4, 4, 1, 2, 4, 3, 3, 3, 4, 3, 0, 0, 2, 4, 2, 0, 4, 3, 0, 4, 1, 0, 3, 3, 2, 2, 4, 0, 0, 2, 0, 2, 1, 0, 4, 2, 2, 3, 0, 2, 3, 0, 3, 0, 3, 0, 2, 4, 3, 1, 2, 3, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 3, 3, 3, 4, 2, 2, 1, 1, 3, 3, 4, 4, 2, 3, 2, 4, 0, 1, 4, 3, 0, 2, 2, 0, 0, 3, 3, 2, 2, 1, 3, 1, 4, 4, 0, 4, 2, 4, 2, 2, 1, 3, 4, 4, 0, 2, 1, 4, 1, 1, 2, 1, 1, 4, 3, 4, 2, 4, 0, 0, 1, 3, 3, 1, 4, 0, 1, 0, 3, 0, 3, 4, 1, 2, 0, 3, 3, 4, 3, 3, 1, 0, 4, 4, 3, 2, 4, 0, 1, 3, 0, 2, 2, 1, 2, 1, 0, 3, 0, 0, 1, 2, 3, 4, 4, 4, 1, 1, 4, 2, 1, 2, 1, 4, 3, 2, 0, 3, 0, 0, 3, 2, 4, 0, 4, 3, 4, 4, 1, 0, 4, 2, 1, 0, 4, 0, 4, 1, 0, 0, 1, 0, 4, 2, 2, 1, 2, 2, 2, 4, 0, 3, 4, 2, 2, 0, 2, 2, 2, 0, 1, 2, 4, 3, 3, 3, 3, 4, 2, 4, 0, 4, 2, 2, 0, 1, 3, 4, 1, 2, 0, 4, 0, 1, 0, 2, 4, 0, 1, 4, 4, 1, 0, 2, 3, 1, 1, 0, 3, 4, 1, 3, 4, 1, 1, 0, 4, 3, 2, 4, 4, 2, 2, 2, 3, 0, 3, 3, 2, 1, 0, 0, 2, 0, 3, 2, 0, 2, 0, 1] pubkeycol1234 = [0, 2, 2, 0, 1, 4, 3, 4, 2, 3, 4, 1, 1, 3, 0, 2, 2, 3, 2, 0, 4, 2, 2, 1, 4, 2, 0, 4, 1, 2, 3, 1, 4, 2, 4, 1, 2, 3, 1, 0, 2, 3, 4, 0, 2, 2, 3, 2, 4, 3, 2, 0, 3, 4, 3, 3, 3, 0, 3, 4, 3, 3, 4, 2, 2, 4, 3, 0, 4, 1, 2, 4, 0, 1, 4, 2, 1, 0, 2, 0, 4, 3, 4, 3, 4, 2, 1, 4, 1, 4, 4, 3, 3, 1, 2, 2, 3, 2, 2, 4, 4, 4, 3, 0, 4, 4, 2, 0, 1, 3, 1, 2, 2, 1, 1, 0, 3, 0, 2, 3, 0, 3, 3, 1, 3, 4, 3, 4, 0, 3, 1, 4, 1, 4, 4, 0, 0, 2, 1, 1, 0, 3, 3, 0, 4, 2, 3, 0, 4, 2, 4, 4, 0, 2, 1, 2, 3, 0, 3, 2, 4, 0, 1, 3, 0, 4, 0, 3, 1, 1, 4, 1, 1, 4, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 4, 0, 1, 0, 2, 3, 1, 2, 4, 2, 0, 1, 0, 1, 3, 0, 1, 4, 4, 3, 3, 2, 1, 4, 3, 2, 0, 3, 1, 0, 4, 2, 3, 1, 4, 3, 2, 1, 2, 2, 3, 4, 1, 1, 4, 1, 1, 2, 0, 1, 2, 1, 4, 1, 0, 0, 4, 2, 2, 4, 4, 2, 1, 1, 3, 2, 4, 2, 3, 2, 0, 1, 2, 1, 1, 3, 0, 1, 0, 1, 0, 1, 4, 4, 1, 3, 0, 4, 1, 0, 3, 3, 1, 0, 4, 0, 0, 2, 1, 3, 2, 4, 2, 4, 0, 2, 2, 0, 0, 1, 2, 3, 0, 4, 4, 2, 4, 4, 2, 0, 4, 3, 4, 1, 4, 1, 3, 1, 4, 0, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 3, 2, 2, 1, 4, 0, 0, 4, 4, 1, 2, 2, 1, 2, 3, 1, 1, 0, 2, 2, 0, 0, 3, 4, 1, 1, 4, 0, 2, 4, 4, 1, 1, 1, 1, 3, 4, 3, 2, 2, 1, 4, 3, 3, 3, 1, 0, 4, 1, 1, 3, 2, 3, 0, 1, 4, 4, 3, 3, 4, 2, 3, 0, 3] pubkeycol1235 = [4, 3, 4, 0, 2, 4, 0, 2, 1, 3, 1, 2, 0, 2, 0, 4, 3, 1, 2, 4, 0, 0, 2, 0, 3, 2, 1, 1, 4, 2, 0, 3, 3, 3, 0, 0, 1, 2, 0, 4, 3, 4, 2, 0, 3, 4, 2, 3, 0, 3, 1, 4, 3, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 3, 1, 3, 3, 1, 1, 0, 0, 1, 0, 3, 3, 0, 2, 2, 2, 0, 4, 3, 1, 4, 1, 0, 2, 2, 4, 1, 3, 3, 4, 0, 0, 0, 4, 2, 2, 0, 1, 1, 4, 3, 4, 0, 0, 3, 4, 3, 0, 0, 2, 0, 1, 2, 3, 0, 0, 4, 2, 3, 0, 0, 2, 2, 1, 3, 3, 3, 0, 3, 0, 4, 3, 1, 1, 0, 0, 4, 0, 2, 2, 3, 3, 3, 2, 2, 4, 2, 0, 3, 1, 4, 1, 2, 2, 4, 2, 2, 4, 1, 2, 4, 4, 1, 2, 2, 2, 1, 0, 0, 2, 4, 0, 2, 4, 0, 2, 3, 4, 2, 3, 3, 3, 3, 2, 0, 3, 4, 1, 0, 2, 4, 4, 1, 3, 4, 3, 2, 3, 0, 4, 2, 1, 1, 0, 3, 4, 3, 0, 4, 4, 4, 3, 4, 1, 3, 4, 1, 4, 3, 2, 0, 0, 3, 4, 4, 3, 3, 3, 1, 4, 4, 1, 4, 4, 2, 0, 3, 4, 4, 2, 1, 3, 4, 4, 2, 4, 1, 0, 4, 2, 4, 2, 0, 0, 0, 0, 3, 1, 1, 2, 2, 2, 3, 1, 0, 0, 2, 1, 3, 3, 3, 3, 1, 3, 1, 2, 3, 2, 3, 3, 2, 1, 3, 4, 0, 1, 1, 3, 1, 2, 4, 3, 4, 3, 3, 2, 4, 0, 0, 2, 4, 1, 3, 3, 0, 3, 2, 4, 3, 2, 4, 3, 3, 2, 3, 2, 3, 2, 4, 1, 1, 3, 4, 2, 2, 0, 1, 0, 1, 2, 1, 4, 2, 4, 1, 4, 3, 1, 4, 3, 1, 0, 4, 1, 0, 4, 3, 0, 1, 1, 0, 2, 0, 1, 3, 3, 4, 2, 0, 4, 3, 0, 4, 0, 2, 0, 1, 1, 4, 3, 1, 3, 2, 4, 1, 3, 0, 4, 1, 1, 4, 3, 0, 1, 3, 2, 4, 2, 0, 2, 2, 0, 1, 2, 4, 0, 3] pubkeycol1236 = [3, 1, 1, 1, 4, 4, 4, 1, 0, 3, 4, 0, 3, 4, 2, 0, 2, 1, 0, 4, 0, 2, 1, 1, 1, 1, 3, 0, 2, 1, 0, 2, 2, 4, 4, 2, 4, 3, 4, 2, 2, 1, 3, 3, 4, 3, 2, 2, 4, 1, 1, 4, 2, 4, 1, 1, 3, 2, 1, 3, 4, 1, 4, 0, 1, 1, 2, 0, 1, 3, 3, 2, 0, 4, 3, 4, 2, 1, 3, 0, 3, 3, 4, 4, 1, 1, 2, 3, 3, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 4, 3, 1, 1, 1, 1, 0, 2, 4, 0, 1, 3, 4, 0, 4, 4, 3, 2, 4, 3, 0, 0, 3, 1, 3, 1, 3, 4, 3, 1, 2, 1, 0, 0, 2, 1, 1, 4, 3, 0, 4, 3, 2, 1, 1, 1, 3, 3, 1, 1, 4, 1, 2, 1, 4, 4, 1, 2, 3, 3, 1, 4, 0, 1, 4, 4, 2, 4, 0, 0, 2, 0, 2, 2, 1, 4, 0, 1, 2, 2, 2, 1, 0, 1, 3, 1, 0, 3, 4, 0, 3, 3, 3, 2, 4, 3, 0, 4, 0, 0, 1, 1, 4, 4, 3, 1, 2, 4, 2, 4, 2, 4, 0, 1, 0, 1, 4, 4, 1, 1, 2, 3, 2, 3, 3, 1, 0, 4, 1, 0, 1, 3, 4, 4, 2, 3, 3, 4, 4, 3, 0, 0, 0, 2, 4, 0, 3, 4, 2, 2, 0, 0, 3, 0, 4, 1, 2, 0, 0, 1, 4, 4, 4, 1, 1, 1, 4, 3, 1, 4, 4, 3, 0, 3, 2, 2, 0, 3, 0, 2, 1, 3, 4, 2, 2, 3, 4, 4, 0, 1, 2, 3, 0, 0, 2, 0, 3, 1, 2, 3, 4, 3, 3, 1, 3, 4, 3, 0, 3, 0, 3, 1, 2, 4, 4, 4, 2, 2, 4, 0, 1, 3, 0, 1, 0, 2, 3, 0, 0, 3, 1, 0, 0, 3, 1, 1, 0, 4, 3, 0, 4, 3, 0, 0, 2, 1, 4, 3, 1, 0, 1, 2, 4, 2, 4, 0, 4, 1, 2, 1, 2, 0, 4, 1, 4, 1, 1, 4, 2, 0, 4, 4, 3, 4, 2, 0, 1, 1, 3, 1, 0, 3, 2, 1, 2, 2, 2, 3, 0, 3, 2, 0, 4, 4, 3, 1, 1, 3, 1, 1, 4] pubkeycol1237 = [2, 1, 0, 1, 1, 0, 0, 4, 3, 0, 4, 2, 2, 0, 2, 1, 1, 4, 3, 4, 1, 1, 0, 3, 1, 1, 0, 4, 0, 1, 2, 1, 4, 3, 1, 2, 4, 0, 1, 4, 4, 2, 0, 0, 0, 3, 3, 1, 0, 4, 3, 0, 1, 3, 4, 2, 3, 2, 4, 3, 1, 0, 1, 4, 0, 0, 3, 4, 0, 2, 3, 2, 2, 0, 0, 3, 1, 3, 4, 2, 4, 4, 2, 3, 2, 2, 1, 0, 4, 4, 4, 0, 4, 2, 4, 4, 4, 2, 3, 2, 0, 2, 0, 2, 2, 2, 4, 4, 1, 0, 3, 2, 4, 0, 3, 4, 0, 0, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 0, 4, 3, 1, 1, 1, 4, 1, 3, 1, 4, 0, 0, 4, 1, 2, 3, 0, 4, 4, 3, 0, 2, 1, 2, 3, 0, 1, 2, 2, 0, 0, 4, 0, 3, 1, 3, 4, 4, 4, 3, 2, 4, 2, 2, 1, 0, 0, 0, 4, 4, 3, 4, 1, 1, 3, 0, 3, 2, 0, 2, 4, 4, 1, 2, 4, 2, 1, 0, 3, 1, 2, 2, 2, 4, 3, 4, 0, 4, 0, 2, 4, 2, 1, 2, 3, 2, 0, 0, 4, 3, 1, 1, 4, 3, 2, 0, 1, 0, 4, 4, 0, 2, 3, 3, 4, 3, 4, 4, 2, 1, 3, 3, 2, 0, 2, 3, 0, 4, 0, 4, 2, 1, 2, 3, 2, 0, 2, 0, 4, 0, 1, 2, 2, 0, 2, 3, 2, 0, 3, 2, 1, 4, 2, 2, 3, 0, 3, 0, 2, 2, 4, 0, 4, 2, 3, 4, 1, 2, 3, 2, 1, 4, 0, 4, 3, 0, 2, 1, 3, 4, 3, 4, 2, 4, 3, 2, 3, 4, 3, 1, 0, 3, 3, 2, 3, 0, 3, 4, 4, 4, 0, 4, 0, 1, 0, 2, 1, 3, 3, 4, 2, 1, 4, 3, 0, 4, 1, 0, 2, 2, 1, 1, 3, 3, 0, 0, 0, 3, 1, 3, 1, 0, 3, 2, 0, 0, 1, 1, 1, 4, 4, 0, 4, 2, 2, 1, 1, 2, 3, 2, 2, 1, 1, 2, 4, 3, 2, 2, 3, 1, 1, 0, 2, 1, 4, 2, 2, 4, 4, 3, 1, 3, 4, 2, 2, 1, 1, 1, 1, 0] pubkeycol1238 = [0, 0, 3, 1, 4, 1, 4, 1, 2, 0, 0, 3, 2, 4, 0, 4, 4, 1, 2, 1, 4, 1, 4, 0, 3, 0, 3, 0, 3, 3, 4, 4, 2, 0, 2, 1, 3, 3, 3, 3, 0, 1, 3, 0, 0, 1, 2, 3, 4, 0, 2, 2, 1, 2, 3, 1, 1, 1, 3, 0, 2, 3, 4, 3, 2, 4, 1, 1, 1, 2, 0, 4, 2, 4, 0, 4, 0, 4, 2, 2, 2, 4, 1, 2, 2, 0, 3, 2, 1, 2, 2, 1, 1, 2, 3, 3, 0, 1, 3, 0, 3, 0, 4, 3, 3, 0, 2, 3, 1, 3, 0, 1, 4, 3, 1, 0, 2, 1, 0, 4, 4, 1, 2, 2, 3, 3, 4, 3, 0, 1, 0, 3, 3, 2, 1, 4, 1, 3, 3, 2, 2, 3, 1, 2, 4, 4, 4, 1, 3, 2, 1, 2, 4, 4, 1, 2, 2, 0, 3, 4, 1, 3, 0, 0, 3, 1, 2, 2, 4, 2, 3, 3, 2, 0, 3, 3, 0, 0, 3, 0, 4, 0, 2, 1, 2, 3, 4, 2, 4, 4, 0, 3, 0, 0, 2, 0, 4, 0, 1, 3, 2, 3, 3, 2, 1, 0, 3, 1, 3, 0, 4, 3, 2, 4, 2, 0, 1, 1, 4, 3, 2, 4, 4, 0, 3, 0, 4, 4, 2, 2, 2, 1, 4, 0, 3, 3, 1, 1, 2, 3, 3, 1, 2, 0, 3, 3, 1, 4, 2, 1, 3, 1, 3, 4, 2, 2, 1, 0, 4, 2, 3, 4, 1, 3, 1, 0, 3, 4, 4, 4, 0, 3, 3, 4, 0, 2, 3, 0, 4, 4, 4, 2, 2, 4, 2, 0, 4, 3, 2, 0, 4, 4, 2, 3, 3, 2, 1, 4, 4, 3, 3, 2, 0, 3, 4, 3, 2, 1, 1, 1, 1, 3, 2, 0, 0, 4, 3, 2, 2, 1, 0, 1, 0, 1, 1, 0, 4, 3, 3, 1, 3, 1, 4, 1, 1, 0, 4, 3, 3, 3, 0, 0, 2, 4, 1, 0, 3, 2, 2, 4, 0, 1, 2, 2, 1, 4, 1, 2, 4, 0, 1, 3, 1, 3, 1, 1, 1, 1, 4, 4, 0, 2, 3, 4, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 0, 0, 2, 3, 3, 1, 3, 3, 3, 1, 0, 4, 4, 2, 4, 3] pubkeycol1239 = [3, 1, 3, 3, 4, 1, 2, 0, 2, 4, 3, 3, 1, 1, 3, 2, 4, 1, 3, 2, 3, 3, 3, 4, 0, 2, 4, 2, 0, 2, 4, 3, 4, 1, 0, 3, 2, 1, 0, 1, 4, 3, 4, 2, 4, 1, 0, 3, 1, 1, 4, 1, 0, 4, 2, 4, 1, 2, 4, 3, 2, 4, 1, 2, 0, 2, 4, 3, 0, 2, 1, 2, 2, 2, 3, 2, 1, 1, 1, 4, 1, 3, 0, 1, 4, 4, 4, 0, 2, 0, 0, 2, 3, 1, 4, 4, 3, 1, 1, 1, 4, 4, 4, 2, 0, 2, 3, 3, 1, 4, 0, 4, 0, 1, 3, 4, 1, 1, 2, 3, 1, 2, 3, 0, 2, 2, 3, 1, 0, 1, 4, 1, 1, 0, 4, 1, 4, 0, 1, 1, 4, 0, 0, 0, 0, 2, 3, 2, 4, 3, 4, 0, 4, 3, 3, 1, 1, 3, 0, 3, 2, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 2, 3, 2, 0, 2, 0, 4, 2, 2, 0, 4, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 3, 4, 2, 4, 4, 1, 4, 4, 2, 3, 3, 1, 0, 2, 2, 2, 2, 0, 1, 2, 4, 3, 4, 4, 4, 2, 0, 1, 3, 2, 3, 0, 1, 2, 3, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 3, 3, 1, 1, 3, 1, 0, 0, 3, 4, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 2, 4, 1, 1, 1, 3, 0, 2, 3, 0, 3, 0, 0, 2, 0, 1, 3, 3, 0, 1, 3, 0, 1, 3, 2, 0, 0, 2, 3, 0, 1, 4, 4, 1, 0, 3, 0, 2, 2, 4, 2, 1, 3, 4, 4, 4, 4, 1, 2, 0, 3, 4, 4, 2, 0, 3, 1, 4, 2, 2, 3, 1, 4, 2, 3, 3, 2, 2, 3, 2, 3, 4, 4, 1, 4, 1, 0, 1, 2, 1, 3, 3, 1, 0, 1, 3, 4, 2, 4, 1, 1, 1, 3, 2, 4, 2, 1, 1, 2, 3, 0, 0, 3, 0, 3, 1, 3, 2, 3, 3, 1, 3, 1, 0, 3, 4, 3, 2, 0, 2, 3, 1, 1, 0, 1, 1, 1, 2, 0, 3] pubkeycol1240 = [3, 0, 3, 2, 1, 4, 4, 1, 0, 2, 0, 3, 4, 4, 0, 3, 0, 0, 4, 3, 4, 1, 1, 2, 3, 1, 1, 1, 2, 4, 1, 1, 2, 4, 2, 1, 3, 3, 1, 4, 2, 4, 3, 4, 0, 1, 3, 3, 0, 2, 2, 3, 4, 3, 3, 2, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 0, 2, 1, 0, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 4, 4, 2, 0, 3, 1, 0, 1, 3, 2, 1, 4, 3, 0, 0, 0, 4, 0, 0, 2, 1, 3, 1, 1, 3, 3, 4, 2, 1, 0, 1, 3, 4, 0, 2, 2, 3, 2, 4, 3, 0, 3, 1, 0, 0, 4, 0, 3, 3, 0, 2, 0, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 1, 3, 0, 1, 3, 3, 0, 3, 4, 4, 1, 0, 3, 0, 4, 0, 4, 0, 3, 0, 2, 0, 3, 0, 3, 1, 3, 0, 3, 4, 3, 4, 1, 4, 4, 0, 3, 4, 4, 0, 0, 1, 1, 0, 1, 3, 3, 2, 3, 2, 2, 2, 0, 4, 4, 3, 0, 0, 0, 4, 0, 4, 1, 4, 1, 2, 4, 1, 4, 4, 0, 2, 4, 1, 4, 0, 0, 3, 4, 4, 2, 4, 0, 2, 1, 3, 4, 3, 1, 2, 3, 4, 0, 4, 1, 4, 3, 1, 2, 3, 2, 0, 3, 4, 3, 2, 2, 1, 1, 1, 3, 0, 2, 3, 3, 2, 1, 1, 1, 2, 3, 0, 0, 1, 1, 1, 0, 4, 4, 4, 0, 0, 3, 2, 3, 4, 4, 2, 1, 0, 1, 0, 3, 0, 4, 1, 0, 2, 4, 2, 4, 4, 2, 3, 4, 1, 2, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 4, 2, 2, 3, 4, 3, 0, 1, 2, 1, 4, 1, 0, 0, 3, 4, 3, 2, 0, 1, 0, 0, 0, 0, 3, 2, 2, 4, 1, 4, 0, 4, 1, 2, 4, 4, 2, 3, 3, 4, 0, 4, 3, 4, 0, 3, 0, 4, 0, 1, 0, 4, 2, 4, 2, 4, 0, 0, 3, 1, 4, 1, 2, 4, 3, 0, 2, 2, 2, 3, 0, 4, 4, 4, 4, 3, 1, 3, 2, 0, 4, 0, 2, 0, 2, 0, 4, 3] pubkeycol1241 = [2, 4, 3, 4, 4, 1, 1, 1, 4, 2, 2, 1, 3, 4, 3, 3, 0, 3, 4, 4, 2, 2, 2, 2, 4, 3, 0, 0, 1, 0, 3, 3, 0, 4, 2, 0, 3, 3, 2, 4, 0, 1, 1, 2, 1, 2, 3, 0, 0, 0, 3, 1, 2, 1, 1, 3, 1, 2, 0, 0, 1, 3, 0, 2, 0, 0, 3, 1, 3, 3, 1, 2, 2, 1, 3, 0, 1, 4, 0, 4, 1, 2, 1, 4, 2, 4, 3, 2, 2, 2, 3, 3, 1, 4, 3, 1, 0, 2, 3, 0, 3, 2, 0, 2, 3, 4, 2, 4, 2, 1, 4, 2, 4, 2, 4, 2, 3, 3, 2, 3, 2, 0, 4, 1, 2, 0, 4, 2, 0, 2, 2, 3, 4, 0, 0, 4, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 1, 0, 4, 0, 4, 3, 2, 3, 4, 0, 0, 4, 0, 3, 4, 3, 0, 1, 1, 3, 4, 0, 2, 1, 0, 2, 3, 2, 4, 0, 4, 1, 1, 2, 0, 4, 0, 0, 3, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 3, 0, 0, 2, 4, 2, 2, 0, 2, 0, 4, 3, 3, 4, 0, 4, 4, 2, 4, 2, 4, 3, 0, 3, 0, 2, 2, 4, 4, 3, 0, 2, 1, 2, 3, 0, 4, 1, 4, 0, 3, 4, 1, 3, 2, 4, 2, 4, 4, 0, 0, 3, 2, 4, 1, 1, 1, 3, 3, 1, 0, 0, 3, 1, 4, 3, 4, 0, 1, 3, 0, 4, 1, 1, 2, 2, 1, 2, 3, 3, 1, 4, 2, 1, 3, 4, 4, 4, 1, 3, 1, 2, 3, 4, 2, 2, 1, 2, 0, 0, 3, 2, 4, 4, 3, 4, 1, 3, 3, 2, 4, 0, 2, 1, 0, 2, 1, 0, 2, 3, 4, 2, 0, 3, 0, 1, 0, 2, 1, 1, 2, 3, 0, 4, 2, 4, 1, 1, 1, 3, 3, 1, 1, 4, 3, 4, 3, 0, 2, 0, 4, 4, 0, 2, 0, 0, 0, 0, 3, 1, 4, 1, 3, 2, 4, 0, 4, 4, 4, 2, 2, 2, 4, 1, 0, 4, 2, 2, 4, 2, 4, 0, 3, 4, 0, 0, 4, 0, 2, 0, 4, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 1] pubkeycol1242 = [2, 2, 1, 4, 1, 1, 0, 2, 3, 4, 2, 3, 3, 2, 2, 3, 4, 0, 2, 4, 4, 2, 0, 1, 4, 4, 1, 3, 1, 2, 3, 4, 3, 2, 1, 0, 1, 3, 0, 2, 4, 4, 3, 2, 0, 2, 1, 2, 3, 3, 4, 3, 4, 1, 1, 0, 2, 1, 3, 2, 1, 1, 4, 1, 1, 4, 1, 2, 2, 0, 2, 3, 0, 3, 3, 4, 0, 3, 3, 1, 0, 1, 2, 3, 2, 2, 0, 3, 4, 1, 2, 2, 4, 1, 3, 2, 1, 2, 3, 3, 0, 1, 0, 4, 2, 0, 2, 4, 4, 2, 4, 3, 4, 4, 2, 2, 4, 2, 4, 1, 2, 1, 0, 2, 0, 4, 2, 4, 4, 2, 0, 4, 0, 4, 3, 3, 3, 4, 4, 1, 0, 4, 3, 3, 1, 1, 4, 1, 2, 4, 0, 3, 0, 4, 3, 3, 3, 4, 3, 0, 4, 4, 2, 0, 3, 3, 3, 1, 1, 0, 4, 4, 4, 1, 3, 3, 2, 0, 2, 2, 0, 3, 2, 4, 3, 0, 2, 3, 4, 1, 1, 1, 2, 4, 1, 1, 1, 1, 4, 1, 2, 0, 0, 4, 2, 0, 1, 3, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 4, 1, 3, 0, 1, 1, 3, 1, 2, 3, 2, 4, 0, 0, 4, 0, 4, 2, 1, 0, 4, 2, 3, 0, 0, 4, 4, 2, 4, 1, 4, 4, 2, 3, 3, 2, 1, 3, 1, 1, 4, 1, 4, 1, 2, 4, 1, 1, 0, 1, 1, 4, 4, 2, 4, 0, 1, 3, 4, 0, 4, 1, 2, 4, 3, 2, 4, 2, 4, 4, 0, 1, 2, 3, 3, 4, 3, 1, 2, 4, 1, 2, 1, 4, 1, 1, 1, 3, 3, 4, 4, 3, 1, 0, 0, 2, 0, 2, 4, 2, 1, 2, 0, 4, 0, 1, 2, 0, 1, 1, 4, 2, 3, 3, 3, 0, 4, 0, 2, 3, 4, 1, 1, 1, 4, 2, 3, 3, 1, 1, 3, 1, 2, 0, 0, 1, 0, 3, 0, 1, 4, 2, 2, 1, 4, 4, 1, 3, 2, 2, 1, 0, 4, 2, 0, 4, 2, 3, 0, 2, 2, 4, 2, 4, 2, 0, 2, 1, 3, 0, 2, 3, 0, 4, 0] pubkeycol1243 = [4, 4, 3, 0, 4, 0, 3, 2, 0, 1, 4, 3, 1, 4, 4, 2, 4, 0, 4, 1, 3, 1, 2, 3, 0, 3, 2, 3, 1, 4, 2, 1, 4, 1, 4, 1, 3, 0, 0, 0, 1, 3, 0, 0, 2, 3, 0, 2, 1, 0, 1, 2, 1, 4, 0, 4, 3, 0, 2, 4, 0, 2, 1, 1, 0, 1, 1, 3, 4, 0, 3, 3, 3, 1, 2, 0, 1, 4, 3, 4, 2, 4, 1, 4, 3, 4, 3, 0, 4, 4, 0, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 2, 0, 2, 3, 4, 0, 3, 2, 1, 3, 3, 1, 0, 1, 1, 3, 4, 2, 3, 3, 1, 4, 2, 1, 2, 4, 4, 1, 1, 4, 3, 3, 0, 2, 4, 2, 3, 0, 0, 4, 3, 1, 0, 0, 1, 2, 4, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 4, 0, 1, 1, 1, 4, 1, 4, 2, 4, 1, 0, 1, 2, 4, 0, 4, 4, 3, 1, 3, 2, 3, 4, 0, 1, 0, 4, 0, 4, 0, 0, 2, 2, 1, 1, 3, 4, 2, 2, 2, 4, 3, 3, 0, 4, 3, 4, 1, 1, 3, 1, 1, 4, 4, 0, 4, 2, 0, 4, 3, 2, 1, 3, 3, 1, 1, 3, 0, 2, 0, 0, 3, 0, 1, 0, 4, 1, 4, 1, 4, 3, 1, 2, 3, 2, 3, 4, 1, 4, 2, 0, 4, 3, 3, 1, 0, 4, 1, 1, 4, 2, 4, 4, 4, 0, 3, 0, 4, 2, 0, 1, 3, 0, 3, 2, 4, 0, 0, 2, 0, 4, 3, 1, 4, 0, 1, 2, 1, 1, 0, 3, 0, 3, 3, 3, 0, 0, 4, 3, 4, 1, 4, 1, 4, 0, 2, 4, 0, 1, 1, 0, 4, 2, 3, 1, 0, 0, 4, 2, 0, 3, 3, 3, 0, 0, 4, 0, 2, 0, 1, 4, 2, 1, 1, 4, 1, 4, 1, 1, 3, 1, 0, 1, 1, 2, 1, 2, 3, 3, 1, 4, 2, 3, 1, 3, 1, 2, 3, 1, 4, 0, 0, 1, 3, 1, 1, 3, 1, 2, 3, 4, 1, 2, 1, 4, 4, 4, 3, 1, 3, 4, 1, 0, 1, 3, 1, 0, 4, 0, 3, 3, 0, 1, 0, 3, 3, 4] pubkeycol1244 = [2, 4, 3, 1, 1, 1, 1, 0, 3, 2, 2, 2, 4, 0, 0, 0, 2, 2, 0, 1, 3, 4, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 4, 1, 4, 1, 4, 1, 2, 4, 3, 1, 4, 1, 1, 2, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 3, 4, 4, 3, 3, 1, 0, 0, 1, 2, 4, 3, 0, 2, 0, 4, 2, 3, 2, 2, 3, 2, 2, 1, 0, 0, 3, 4, 4, 3, 2, 0, 0, 3, 2, 3, 2, 2, 4, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 3, 2, 2, 0, 3, 3, 2, 0, 1, 0, 4, 0, 0, 1, 4, 0, 3, 3, 3, 3, 1, 4, 1, 2, 1, 0, 3, 3, 2, 4, 4, 1, 3, 3, 1, 4, 2, 0, 2, 4, 2, 4, 1, 4, 3, 3, 0, 3, 3, 4, 1, 3, 3, 1, 0, 1, 1, 3, 0, 2, 2, 2, 2, 0, 1, 3, 0, 2, 3, 0, 1, 3, 4, 0, 2, 4, 1, 3, 2, 4, 4, 3, 0, 2, 2, 4, 3, 3, 1, 1, 3, 2, 1, 2, 0, 2, 2, 3, 3, 3, 4, 2, 4, 3, 2, 0, 2, 0, 1, 4, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 4, 2, 1, 3, 0, 1, 1, 2, 2, 4, 0, 4, 3, 4, 0, 1, 3, 1, 3, 1, 0, 2, 0, 0, 1, 4, 0, 3, 1, 1, 0, 0, 3, 0, 0, 2, 4, 0, 2, 4, 4, 0, 1, 1, 4, 2, 0, 1, 2, 3, 3, 4, 1, 0, 4, 4, 1, 2, 2, 0, 3, 2, 3, 0, 4, 2, 1, 0, 3, 3, 1, 2, 2, 0, 2, 4, 2, 1, 2, 2, 0, 4, 4, 2, 4, 3, 1, 4, 4, 0, 2, 3, 2, 3, 1, 3, 0, 1, 2, 0, 0, 3, 3, 2, 0, 2, 1, 3, 2, 1, 4, 1, 2, 4, 1, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 4, 4, 1, 3, 4, 4, 3, 0, 1, 0, 4, 1, 1, 3, 1, 3, 1, 0, 4, 2, 0, 4, 0, 2, 3, 1, 3, 1, 1, 0, 3, 3, 4, 3, 4, 0, 3, 2, 1, 2, 0, 3, 0, 1, 0, 0, 0] pubkeycol1245 = [0, 0, 4, 0, 4, 1, 1, 3, 2, 4, 4, 4, 4, 1, 2, 2, 4, 3, 4, 1, 2, 2, 4, 4, 4, 4, 3, 0, 3, 3, 1, 0, 2, 4, 3, 1, 0, 3, 2, 4, 2, 2, 1, 2, 3, 1, 3, 2, 1, 4, 4, 3, 0, 1, 1, 3, 1, 2, 4, 1, 0, 2, 0, 3, 1, 4, 1, 0, 3, 4, 0, 2, 0, 1, 4, 2, 0, 2, 3, 2, 1, 2, 3, 2, 4, 0, 1, 1, 1, 4, 1, 0, 3, 4, 4, 0, 0, 3, 4, 3, 3, 0, 1, 2, 3, 1, 0, 2, 2, 1, 4, 3, 4, 4, 1, 0, 3, 0, 4, 0, 1, 4, 3, 1, 0, 1, 4, 3, 1, 2, 2, 1, 2, 3, 1, 3, 4, 4, 4, 2, 0, 4, 3, 0, 4, 3, 2, 1, 2, 1, 2, 3, 0, 0, 2, 2, 2, 4, 3, 3, 1, 1, 1, 0, 3, 4, 0, 3, 4, 4, 0, 1, 4, 2, 1, 1, 3, 0, 2, 3, 4, 3, 4, 1, 2, 2, 1, 4, 1, 0, 3, 2, 2, 4, 2, 3, 3, 2, 0, 2, 0, 4, 3, 1, 4, 3, 4, 0, 4, 2, 4, 4, 4, 2, 0, 1, 4, 2, 0, 4, 4, 1, 0, 3, 3, 4, 4, 2, 2, 3, 4, 4, 3, 0, 3, 2, 3, 3, 4, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 4, 4, 3, 4, 2, 2, 1, 1, 2, 3, 2, 3, 0, 0, 4, 3, 1, 1, 4, 3, 2, 0, 4, 2, 3, 4, 4, 3, 2, 2, 2, 3, 1, 1, 0, 2, 1, 4, 4, 3, 4, 4, 0, 1, 0, 1, 2, 0, 0, 2, 4, 3, 3, 0, 1, 2, 1, 4, 4, 2, 1, 2, 3, 0, 2, 2, 4, 3, 4, 4, 1, 3, 3, 4, 3, 3, 1, 1, 2, 4, 1, 4, 2, 1, 2, 2, 1, 0, 2, 1, 3, 0, 0, 2, 2, 3, 1, 3, 3, 0, 1, 2, 2, 2, 4, 2, 2, 4, 2, 2, 0, 0, 4, 3, 0, 3, 4, 3, 0, 0, 3, 4, 1, 1, 4, 4, 4, 4, 4, 4, 1, 3, 1, 1, 2, 4, 0, 2, 2, 0, 3, 3, 2, 4, 2, 3, 2, 4, 2, 1, 0] pubkeycol1246 = [4, 3, 2, 1, 2, 1, 3, 3, 4, 4, 4, 2, 4, 1, 3, 3, 2, 1, 0, 2, 3, 0, 0, 3, 0, 4, 0, 3, 0, 4, 4, 4, 1, 0, 3, 0, 2, 4, 4, 4, 0, 1, 0, 3, 4, 0, 0, 0, 4, 0, 0, 3, 2, 3, 2, 3, 0, 2, 3, 4, 2, 0, 1, 0, 1, 1, 4, 2, 1, 0, 4, 4, 3, 2, 0, 2, 3, 1, 1, 4, 0, 2, 3, 0, 0, 0, 3, 1, 1, 4, 1, 3, 0, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 3, 4, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 1, 2, 0, 1, 2, 3, 2, 2, 3, 3, 4, 4, 4, 0, 0, 3, 3, 1, 3, 4, 3, 2, 2, 2, 1, 3, 4, 3, 3, 4, 1, 0, 3, 4, 0, 1, 3, 2, 2, 0, 3, 4, 1, 4, 2, 4, 4, 2, 4, 4, 0, 3, 3, 3, 3, 1, 0, 0, 2, 1, 3, 4, 1, 0, 3, 3, 3, 1, 0, 3, 4, 2, 3, 0, 4, 0, 2, 4, 3, 2, 3, 3, 3, 4, 1, 1, 3, 0, 0, 4, 0, 4, 1, 1, 2, 2, 2, 3, 0, 3, 0, 2, 4, 3, 1, 3, 0, 1, 2, 0, 3, 2, 2, 4, 3, 1, 3, 1, 3, 0, 0, 4, 3, 4, 4, 1, 4, 3, 4, 0, 4, 2, 4, 1, 0, 0, 3, 1, 4, 4, 2, 3, 1, 2, 4, 3, 3, 1, 2, 1, 0, 3, 0, 4, 3, 3, 2, 1, 1, 2, 4, 2, 0, 2, 0, 3, 3, 0, 4, 2, 2, 0, 1, 3, 2, 1, 0, 1, 1, 4, 4, 1, 2, 1, 2, 2, 4, 3, 1, 0, 0, 4, 4, 0, 0, 1, 0, 3, 1, 1, 1, 4, 0, 3, 2, 3, 4, 2, 4, 0, 3, 0, 4, 1, 4, 3, 2, 0, 2, 4, 1, 4, 4, 2, 2, 4, 0, 2, 1, 4, 3, 2, 2, 1, 4, 3, 4, 2, 0, 0, 1, 2, 4, 4, 0, 2, 1, 0, 3, 4, 3, 3, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 3, 0, 2, 1, 2, 2, 1, 1, 3, 3, 4, 0, 3, 1, 3, 1, 2] pubkeycol1247 = [4, 3, 0, 3, 4, 1, 2, 0, 0, 4, 4, 2, 0, 0, 3, 3, 0, 0, 3, 2, 2, 3, 2, 0, 2, 1, 2, 1, 4, 4, 1, 2, 3, 3, 2, 4, 2, 3, 3, 3, 3, 1, 3, 1, 0, 0, 2, 0, 2, 4, 3, 1, 0, 2, 4, 4, 1, 3, 1, 2, 4, 2, 1, 3, 4, 0, 2, 4, 0, 4, 1, 1, 3, 4, 2, 2, 1, 0, 4, 4, 0, 4, 3, 2, 1, 0, 4, 2, 3, 4, 4, 4, 4, 4, 4, 0, 3, 1, 2, 3, 1, 1, 2, 4, 1, 0, 0, 4, 2, 3, 4, 3, 1, 2, 1, 4, 2, 1, 2, 3, 0, 3, 3, 4, 0, 2, 3, 0, 4, 4, 3, 4, 4, 0, 4, 1, 1, 1, 1, 4, 4, 2, 3, 0, 0, 4, 1, 0, 1, 4, 0, 3, 4, 3, 2, 3, 3, 1, 3, 1, 1, 0, 0, 1, 1, 4, 3, 0, 4, 4, 3, 0, 2, 2, 4, 3, 4, 1, 2, 0, 0, 1, 0, 2, 2, 1, 3, 4, 0, 2, 1, 1, 4, 4, 1, 1, 0, 4, 1, 1, 0, 0, 4, 2, 4, 1, 0, 4, 3, 2, 4, 3, 3, 2, 4, 1, 1, 2, 3, 4, 4, 1, 0, 3, 2, 2, 3, 2, 0, 2, 3, 0, 2, 2, 4, 1, 4, 4, 0, 4, 2, 1, 0, 1, 3, 1, 4, 3, 4, 2, 1, 1, 3, 1, 2, 0, 1, 0, 1, 1, 4, 0, 2, 0, 4, 1, 3, 3, 3, 0, 1, 2, 4, 2, 1, 2, 2, 3, 2, 4, 4, 4, 0, 4, 0, 3, 3, 1, 2, 3, 3, 1, 4, 1, 2, 0, 1, 1, 1, 3, 2, 3, 3, 2, 4, 3, 3, 4, 2, 0, 0, 0, 2, 4, 3, 2, 2, 2, 3, 4, 0, 4, 2, 2, 2, 4, 2, 4, 3, 4, 0, 1, 4, 3, 0, 1, 0, 1, 1, 2, 4, 0, 0, 3, 0, 4, 0, 1, 1, 4, 0, 3, 0, 0, 0, 4, 4, 2, 4, 3, 2, 2, 0, 4, 0, 1, 4, 1, 1, 4, 4, 1, 4, 2, 2, 2, 0, 4, 0, 2, 0, 0, 0, 0, 3, 3, 1, 2, 1, 3, 3, 0, 4, 1, 2, 0, 4, 3, 2, 3] pubkeycol1248 = [3, 0, 3, 0, 1, 4, 2, 1, 1, 2, 3, 2, 3, 1, 0, 0, 0, 4, 2, 2, 4, 4, 2, 3, 0, 2, 4, 0, 3, 0, 1, 0, 4, 2, 1, 1, 3, 4, 4, 3, 1, 2, 4, 2, 0, 1, 3, 3, 1, 2, 3, 3, 4, 4, 3, 2, 1, 4, 1, 3, 3, 0, 3, 4, 3, 2, 0, 0, 1, 4, 1, 1, 3, 0, 3, 1, 2, 4, 0, 2, 1, 4, 0, 1, 2, 4, 3, 2, 0, 2, 4, 1, 1, 1, 0, 4, 3, 2, 2, 4, 2, 1, 3, 2, 2, 4, 0, 2, 3, 3, 0, 4, 2, 3, 1, 3, 3, 2, 3, 1, 1, 4, 1, 1, 2, 1, 0, 0, 2, 3, 4, 2, 4, 1, 0, 4, 2, 4, 2, 0, 1, 4, 1, 4, 4, 2, 4, 4, 0, 1, 1, 0, 0, 4, 1, 4, 1, 1, 0, 3, 1, 0, 4, 0, 1, 4, 3, 4, 4, 0, 4, 3, 1, 4, 3, 3, 1, 1, 4, 0, 0, 4, 1, 3, 1, 2, 2, 0, 1, 3, 3, 1, 3, 0, 2, 4, 0, 4, 4, 3, 4, 3, 3, 1, 4, 1, 4, 0, 2, 0, 0, 2, 4, 0, 2, 1, 1, 2, 3, 1, 1, 2, 4, 4, 0, 4, 3, 1, 1, 2, 2, 1, 4, 1, 1, 0, 3, 4, 2, 4, 0, 2, 2, 3, 4, 0, 3, 4, 3, 3, 0, 2, 3, 4, 4, 3, 1, 4, 0, 2, 3, 2, 4, 0, 3, 2, 3, 3, 2, 2, 4, 0, 3, 2, 3, 0, 4, 4, 4, 3, 4, 4, 1, 0, 4, 2, 3, 4, 2, 0, 1, 0, 0, 2, 3, 2, 0, 2, 2, 3, 2, 1, 3, 1, 0, 2, 2, 3, 2, 4, 1, 3, 4, 4, 4, 2, 1, 3, 0, 2, 4, 4, 1, 1, 2, 1, 0, 2, 0, 2, 4, 2, 0, 3, 3, 4, 3, 4, 2, 0, 0, 3, 4, 1, 4, 4, 3, 3, 1, 3, 2, 3, 4, 1, 4, 1, 4, 1, 3, 4, 2, 2, 2, 2, 2, 0, 0, 0, 2, 4, 4, 2, 1, 1, 4, 4, 3, 3, 3, 3, 4, 2, 2, 0, 4, 1, 1, 1, 2, 1, 2, 4, 2, 3, 1, 4, 0, 4, 3, 2] pubkeycol1249 = [2, 1, 2, 0, 4, 0, 2, 2, 4, 4, 4, 2, 1, 0, 4, 2, 4, 0, 0, 0, 4, 4, 4, 3, 2, 1, 3, 0, 2, 0, 3, 4, 3, 1, 2, 4, 1, 1, 1, 0, 3, 3, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 4, 3, 2, 3, 1, 2, 2, 0, 0, 1, 0, 4, 2, 1, 2, 2, 0, 2, 2, 0, 2, 4, 0, 4, 1, 1, 1, 0, 2, 2, 3, 1, 2, 4, 1, 0, 4, 1, 4, 0, 2, 4, 2, 2, 4, 1, 3, 3, 3, 1, 2, 1, 3, 2, 0, 3, 4, 3, 3, 1, 4, 2, 2, 1, 0, 4, 4, 2, 1, 1, 1, 3, 3, 1, 3, 0, 1, 1, 0, 0, 3, 2, 2, 3, 2, 0, 4, 1, 1, 1, 0, 2, 1, 3, 0, 3, 3, 1, 4, 2, 1, 0, 3, 1, 1, 3, 3, 3, 2, 0, 3, 0, 3, 3, 4, 2, 4, 0, 1, 4, 4, 2, 4, 2, 0, 2, 1, 0, 4, 2, 0, 1, 4, 0, 3, 3, 3, 1, 2, 3, 0, 0, 1, 3, 2, 4, 1, 3, 2, 2, 1, 4, 2, 3, 2, 4, 3, 2, 2, 3, 3, 3, 1, 0, 4, 0, 3, 0, 4, 3, 0, 1, 4, 0, 0, 4, 2, 1, 3, 3, 3, 2, 1, 0, 2, 2, 1, 4, 1, 4, 3, 2, 4, 3, 4, 3, 3, 1, 3, 3, 1, 1, 0, 0, 0, 4, 0, 4, 2, 3, 4, 1, 1, 2, 3, 3, 0, 2, 4, 1, 2, 1, 4, 2, 0, 1, 3, 3, 2, 4, 4, 4, 3, 2, 4, 4, 0, 0, 0, 3, 0, 2, 1, 1, 1, 0, 0, 0, 3, 1, 4, 2, 2, 3, 4, 1, 0, 0, 3, 1, 0, 0, 1, 1, 2, 4, 2, 0, 3, 4, 1, 3, 0, 2, 3, 1, 2, 4, 4, 3, 4, 2, 3, 4, 0, 4, 2, 4, 3, 2, 2, 4, 4, 4, 4, 1, 0, 1, 0, 0, 4, 2, 1, 2, 0, 0, 3, 4, 2, 4, 0, 2, 2, 0, 4, 1, 2, 3, 0, 0, 2, 3, 1, 3, 3, 0, 0, 2, 3, 0, 3, 3, 4, 0, 2, 4, 0, 4, 0, 2, 4, 1, 1, 3, 4, 4, 0, 1] pubkeycol1250 = [1, 2, 0, 4, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 4, 0, 0, 3, 0, 2, 0, 2, 2, 4, 3, 1, 2, 2, 0, 1, 3, 2, 0, 1, 0, 4, 0, 0, 3, 3, 1, 1, 4, 4, 3, 0, 4, 1, 0, 2, 4, 3, 0, 4, 1, 0, 2, 3, 3, 0, 2, 2, 1, 2, 2, 0, 2, 4, 2, 0, 0, 3, 3, 4, 0, 3, 0, 0, 4, 2, 2, 3, 4, 1, 0, 3, 4, 0, 1, 1, 1, 4, 2, 2, 3, 0, 1, 3, 1, 1, 2, 2, 2, 1, 4, 0, 3, 3, 4, 4, 3, 3, 4, 1, 0, 3, 1, 1, 0, 2, 1, 3, 0, 0, 0, 4, 1, 0, 1, 4, 0, 2, 4, 1, 0, 4, 0, 1, 2, 0, 4, 3, 2, 1, 4, 2, 1, 1, 3, 4, 4, 0, 4, 3, 3, 3, 3, 3, 2, 2, 0, 2, 0, 1, 2, 3, 0, 3, 1, 4, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 4, 2, 3, 3, 2, 4, 2, 0, 4, 1, 4, 4, 2, 0, 0, 3, 0, 2, 0, 1, 4, 0, 1, 1, 4, 3, 2, 0, 3, 1, 0, 1, 4, 1, 0, 2, 4, 2, 0, 1, 0, 3, 1, 4, 3, 2, 2, 1, 4, 4, 4, 3, 0, 3, 0, 2, 4, 1, 4, 2, 3, 2, 1, 3, 4, 3, 2, 4, 4, 0, 2, 1, 0, 3, 1, 1, 0, 0, 0, 0, 2, 0, 2, 3, 0, 3, 0, 4, 4, 3, 3, 1, 3, 0, 2, 2, 2, 0, 2, 1, 4, 2, 3, 1, 4, 2, 4, 1, 1, 2, 2, 1, 3, 3, 2, 2, 0, 2, 4, 0, 1, 4, 4, 4, 4, 4, 3, 1, 3, 2, 4, 3, 4, 1, 3, 1, 1, 2, 1, 4, 0, 3, 0, 3, 3, 1, 0, 0, 2, 0, 4, 3, 4, 1, 0, 3, 3, 2, 0, 2, 4, 2, 2, 2, 3, 4, 0, 3, 4, 1, 0, 1, 1, 3, 3, 2, 2, 4, 3, 4, 4, 3, 0, 2, 0, 2, 3, 2, 4, 4, 0, 2, 0, 1, 4, 1, 4, 0, 4, 0, 4, 2, 3, 2, 2, 2, 2, 2, 3, 0, 2, 2, 0, 0, 0, 1, 3, 0, 4] pubkeycol1251 = [1, 4, 0, 3, 4, 4, 1, 3, 4, 4, 3, 1, 2, 1, 4, 4, 1, 4, 2, 4, 0, 2, 1, 3, 2, 2, 2, 3, 1, 0, 0, 3, 1, 0, 2, 0, 0, 4, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 4, 1, 1, 2, 2, 1, 1, 0, 2, 4, 0, 4, 2, 2, 1, 1, 3, 4, 0, 2, 0, 4, 2, 1, 1, 1, 2, 3, 2, 1, 1, 2, 2, 3, 0, 2, 1, 3, 1, 2, 0, 1, 4, 4, 1, 3, 3, 0, 2, 1, 0, 0, 3, 0, 2, 3, 2, 3, 1, 2, 1, 4, 2, 3, 0, 0, 1, 0, 2, 4, 3, 1, 1, 3, 3, 2, 2, 4, 0, 3, 4, 0, 1, 0, 0, 3, 0, 2, 1, 4, 4, 4, 1, 1, 0, 4, 2, 1, 3, 1, 2, 2, 1, 2, 4, 3, 4, 1, 3, 0, 2, 2, 4, 3, 4, 3, 3, 4, 2, 4, 3, 3, 2, 0, 2, 0, 4, 1, 3, 4, 0, 3, 3, 0, 3, 0, 3, 3, 0, 4, 1, 3, 0, 0, 1, 0, 1, 2, 0, 0, 3, 2, 3, 4, 1, 1, 0, 4, 0, 2, 1, 4, 1, 4, 1, 2, 1, 2, 0, 2, 2, 3, 1, 3, 2, 4, 2, 4, 2, 2, 0, 4, 3, 1, 1, 3, 2, 3, 4, 1, 1, 1, 2, 0, 0, 4, 4, 3, 4, 3, 4, 3, 3, 3, 0, 4, 3, 3, 3, 2, 0, 2, 1, 3, 1, 3, 0, 4, 4, 2, 4, 0, 0, 3, 2, 3, 0, 2, 0, 2, 1, 0, 1, 0, 4, 0, 1, 0, 4, 2, 0, 1, 2, 1, 3, 4, 1, 1, 4, 3, 1, 2, 4, 3, 1, 2, 1, 3, 4, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 0, 0, 0, 1, 1, 4, 3, 3, 4, 1, 2, 2, 2, 3, 1, 0, 2, 3, 2, 0, 4, 4, 1, 2, 0, 2, 1, 2, 0, 3, 3, 2, 3, 0, 2, 4, 1, 0, 3, 4, 1, 4, 2, 4, 2, 0, 0, 0, 4, 4, 3, 2, 3, 1, 2, 1, 2, 2, 3, 0, 2, 0, 4, 2, 1, 1, 0, 1, 1, 2, 4, 0, 3, 3, 0] pubkeycol1252 = [2, 3, 3, 4, 4, 1, 2, 2, 0, 1, 1, 0, 0, 3, 3, 1, 2, 4, 3, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 4, 3, 3, 4, 2, 1, 4, 0, 1, 3, 3, 2, 0, 0, 2, 1, 0, 0, 4, 4, 0, 4, 3, 4, 2, 3, 0, 4, 2, 1, 0, 4, 3, 2, 3, 3, 0, 0, 2, 3, 2, 0, 2, 2, 0, 3, 3, 3, 0, 0, 3, 3, 4, 0, 1, 1, 0, 4, 4, 4, 0, 0, 1, 2, 4, 0, 1, 4, 2, 3, 3, 3, 2, 4, 4, 4, 3, 4, 2, 2, 4, 2, 4, 4, 1, 1, 1, 3, 3, 4, 2, 2, 2, 3, 0, 3, 3, 4, 4, 0, 4, 0, 3, 2, 4, 0, 4, 0, 0, 1, 3, 1, 4, 2, 0, 0, 1, 2, 2, 1, 4, 3, 2, 1, 1, 3, 3, 1, 0, 2, 4, 4, 0, 1, 1, 4, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 0, 3, 0, 3, 3, 0, 1, 1, 4, 1, 4, 3, 0, 0, 2, 4, 4, 0, 4, 2, 2, 3, 1, 1, 1, 0, 4, 2, 1, 1, 3, 2, 4, 2, 2, 3, 1, 4, 0, 1, 4, 4, 1, 1, 1, 0, 2, 4, 1, 3, 1, 0, 1, 3, 0, 1, 2, 4, 0, 3, 0, 3, 2, 3, 3, 1, 2, 1, 3, 1, 3, 2, 2, 1, 0, 3, 4, 2, 4, 4, 1, 0, 0, 3, 4, 3, 2, 4, 2, 4, 0, 3, 0, 4, 1, 0, 4, 0, 3, 2, 0, 0, 2, 3, 1, 1, 2, 0, 4, 0, 4, 3, 0, 1, 3, 4, 4, 2, 2, 3, 1, 4, 2, 4, 3, 1, 1, 4, 1, 1, 3, 4, 4, 0, 3, 1, 0, 2, 3, 1, 3, 1, 4, 2, 0, 0, 1, 2, 0, 3, 2, 1, 0, 3, 2, 3, 4, 2, 1, 2, 3, 3, 3, 3, 0, 3, 4, 4, 4, 0, 1, 4, 4, 2, 3, 3, 0, 3, 3, 4, 1, 2, 0, 3, 1, 4, 3, 3, 3, 1, 1, 1, 0, 1, 2, 2, 4, 3, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 4, 0, 0, 0, 4, 2, 2, 3, 3, 1, 1, 2, 4, 0, 0, 2] pubkeycol1253 = [3, 1, 1, 2, 2, 0, 1, 2, 0, 2, 3, 2, 1, 3, 3, 1, 0, 3, 0, 4, 3, 4, 4, 4, 3, 0, 3, 1, 2, 0, 2, 3, 0, 0, 1, 0, 1, 1, 3, 2, 4, 0, 3, 3, 3, 4, 4, 0, 1, 0, 4, 0, 0, 1, 2, 3, 2, 0, 4, 4, 2, 0, 2, 3, 4, 4, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 3, 2, 0, 0, 4, 4, 1, 2, 3, 1, 1, 3, 4, 3, 2, 4, 2, 1, 2, 1, 4, 0, 3, 2, 2, 4, 4, 1, 1, 0, 4, 2, 2, 2, 4, 4, 0, 1, 1, 0, 4, 0, 4, 2, 3, 3, 4, 3, 1, 2, 2, 2, 4, 2, 4, 4, 4, 0, 3, 1, 1, 4, 1, 4, 4, 3, 1, 4, 0, 1, 3, 3, 4, 3, 3, 4, 4, 3, 1, 4, 0, 1, 2, 2, 3, 0, 3, 1, 2, 4, 3, 3, 3, 1, 0, 1, 1, 2, 4, 1, 3, 1, 4, 4, 3, 4, 0, 1, 3, 3, 4, 1, 3, 3, 3, 3, 0, 2, 2, 3, 4, 2, 3, 1, 2, 0, 0, 2, 3, 3, 3, 0, 1, 4, 1, 0, 2, 1, 0, 0, 4, 2, 4, 4, 0, 2, 3, 2, 1, 0, 1, 0, 0, 3, 4, 0, 1, 3, 1, 1, 4, 1, 2, 3, 4, 1, 4, 2, 3, 2, 1, 0, 2, 2, 0, 2, 3, 4, 2, 4, 3, 1, 2, 1, 4, 2, 1, 3, 2, 0, 2, 1, 2, 3, 1, 4, 3, 1, 3, 3, 0, 4, 0, 2, 1, 2, 1, 4, 2, 0, 2, 4, 0, 4, 1, 1, 4, 1, 4, 2, 2, 3, 3, 0, 0, 3, 0, 3, 1, 4, 2, 1, 3, 2, 0, 3, 0, 3, 1, 4, 3, 2, 2, 3, 2, 3, 2, 4, 1, 1, 1, 4, 2, 0, 3, 4, 4, 2, 3, 1, 3, 4, 4, 0, 3, 0, 0, 3, 1, 0, 4, 4, 2, 4, 2, 0, 1, 3, 3, 0, 2, 1, 2, 0, 4, 4, 4, 3, 4, 1, 0, 1, 3, 1, 2, 3, 4, 2, 4, 2, 1, 0, 4, 4, 3, 0, 4, 1, 0, 1, 4, 3, 0, 3, 3, 2, 1, 3, 1, 3, 1, 0, 3, 4] pubkeycol1254 = [2, 1, 4, 2, 2, 0, 4, 3, 1, 1, 3, 0, 0, 4, 4, 0, 1, 1, 4, 2, 3, 4, 0, 0, 2, 2, 0, 1, 2, 0, 3, 2, 1, 1, 3, 1, 1, 0, 4, 0, 0, 2, 1, 3, 3, 4, 0, 4, 3, 4, 0, 3, 2, 0, 2, 2, 3, 1, 4, 1, 0, 0, 4, 2, 4, 3, 4, 4, 4, 2, 4, 3, 2, 1, 0, 3, 4, 3, 0, 4, 0, 1, 0, 1, 0, 1, 3, 1, 2, 0, 4, 3, 4, 2, 0, 1, 3, 3, 3, 2, 4, 4, 1, 1, 1, 4, 4, 0, 3, 1, 0, 3, 0, 4, 2, 2, 3, 0, 3, 1, 3, 0, 4, 3, 3, 0, 4, 3, 0, 0, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 4, 1, 3, 2, 2, 1, 0, 3, 3, 2, 3, 0, 3, 0, 2, 2, 0, 0, 0, 4, 4, 4, 3, 0, 3, 0, 2, 2, 2, 4, 0, 2, 1, 1, 3, 3, 4, 3, 3, 2, 0, 2, 4, 3, 2, 1, 0, 2, 1, 4, 1, 1, 3, 0, 1, 4, 2, 2, 3, 2, 0, 3, 2, 0, 4, 1, 1, 0, 4, 3, 0, 0, 3, 2, 0, 3, 2, 1, 0, 0, 2, 3, 0, 4, 0, 1, 3, 3, 2, 0, 0, 4, 4, 1, 4, 1, 1, 4, 0, 1, 0, 2, 4, 2, 0, 4, 4, 4, 2, 0, 1, 2, 1, 1, 1, 1, 3, 3, 3, 0, 4, 0, 4, 0, 0, 2, 2, 1, 1, 2, 1, 3, 0, 1, 1, 2, 3, 2, 4, 4, 2, 2, 2, 4, 4, 0, 2, 4, 2, 0, 1, 3, 0, 0, 2, 4, 3, 0, 3, 2, 0, 2, 1, 4, 3, 1, 2, 4, 1, 4, 2, 4, 2, 2, 2, 0, 3, 1, 4, 4, 2, 4, 1, 4, 0, 3, 1, 3, 4, 2, 2, 4, 4, 4, 0, 3, 3, 0, 4, 0, 0, 4, 0, 1, 1, 2, 4, 3, 2, 3, 4, 2, 0, 2, 1, 2, 2, 3, 3, 2, 1, 3, 1, 4, 4, 0, 4, 4, 2, 1, 0, 1, 1, 3, 0, 3, 3, 3, 4, 1, 3, 4, 4, 4, 1, 3, 4, 1, 0, 1, 2, 3, 2, 0, 0, 0, 4, 1, 4, 2] pubkeycol1255 = [2, 2, 1, 2, 4, 3, 0, 0, 1, 4, 1, 2, 1, 3, 0, 1, 2, 1, 2, 4, 0, 4, 1, 0, 2, 1, 2, 4, 3, 0, 2, 0, 1, 3, 4, 0, 2, 0, 3, 2, 0, 0, 1, 0, 1, 3, 4, 3, 3, 2, 3, 0, 1, 0, 3, 1, 1, 3, 2, 1, 1, 1, 1, 0, 4, 2, 4, 3, 4, 2, 1, 1, 4, 1, 0, 2, 4, 3, 2, 0, 3, 0, 3, 3, 1, 1, 3, 4, 4, 4, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 0, 4, 3, 0, 1, 2, 1, 1, 3, 2, 0, 4, 3, 1, 4, 3, 4, 2, 3, 2, 3, 2, 4, 2, 0, 0, 4, 0, 0, 0, 0, 3, 2, 4, 4, 2, 1, 2, 2, 1, 4, 1, 3, 1, 0, 4, 0, 3, 4, 0, 0, 2, 2, 1, 2, 1, 4, 2, 1, 4, 3, 4, 3, 3, 0, 0, 4, 4, 2, 1, 1, 2, 3, 0, 0, 4, 3, 3, 0, 2, 2, 3, 1, 1, 2, 1, 2, 0, 2, 0, 3, 3, 1, 1, 3, 0, 4, 4, 1, 1, 3, 4, 0, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 1, 1, 0, 3, 0, 2, 0, 0, 0, 3, 3, 4, 1, 3, 1, 0, 2, 3, 4, 3, 1, 4, 1, 1, 0, 1, 3, 3, 3, 2, 3, 0, 0, 4, 2, 4, 1, 4, 0, 0, 3, 3, 3, 1, 2, 2, 4, 2, 1, 3, 3, 1, 2, 2, 2, 1, 0, 1, 4, 0, 4, 0, 3, 4, 1, 1, 3, 2, 3, 0, 4, 4, 0, 1, 3, 4, 4, 0, 0, 1, 0, 1, 4, 1, 1, 1, 2, 3, 0, 1, 2, 0, 4, 2, 3, 1, 4, 3, 3, 4, 0, 3, 3, 3, 1, 2, 1, 3, 0, 1, 4, 2, 2, 0, 2, 4, 0, 3, 3, 4, 4, 3, 1, 2, 4, 3, 2, 3, 3, 4, 1, 3, 3, 1, 0, 2, 3, 1, 1, 1, 0, 4, 4, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 4, 0, 2, 3, 1, 2, 0, 0, 1, 1, 2, 4, 3, 0, 3, 0, 1, 0, 4, 2, 3, 2, 3, 2, 4] pubkeycol1256 = [1, 1, 4, 1, 2, 4, 3, 2, 3, 3, 2, 2, 0, 0, 4, 0, 4, 4, 2, 2, 0, 2, 0, 0, 3, 2, 2, 4, 4, 2, 1, 4, 3, 1, 0, 2, 3, 0, 2, 1, 4, 0, 2, 3, 0, 0, 4, 4, 0, 0, 3, 4, 1, 2, 3, 4, 3, 1, 4, 0, 3, 2, 4, 0, 0, 1, 4, 0, 0, 0, 4, 3, 3, 1, 2, 3, 2, 2, 1, 3, 2, 4, 3, 3, 4, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 3, 2, 0, 1, 2, 2, 4, 1, 2, 3, 0, 4, 1, 3, 0, 0, 1, 3, 2, 4, 1, 2, 3, 1, 3, 2, 4, 4, 4, 3, 3, 3, 1, 1, 3, 1, 0, 4, 3, 2, 1, 0, 1, 0, 4, 0, 3, 1, 0, 2, 3, 3, 4, 0, 2, 0, 4, 1, 3, 1, 2, 0, 2, 1, 0, 2, 0, 4, 0, 0, 1, 4, 3, 3, 4, 3, 4, 1, 3, 1, 0, 4, 0, 4, 1, 1, 2, 0, 4, 2, 1, 1, 1, 1, 1, 0, 3, 0, 0, 4, 4, 0, 0, 3, 1, 2, 4, 1, 1, 0, 1, 1, 3, 4, 1, 1, 0, 0, 0, 3, 1, 2, 0, 0, 0, 0, 4, 1, 0, 4, 2, 4, 4, 0, 1, 0, 4, 2, 0, 0, 2, 3, 0, 1, 4, 2, 2, 2, 0, 3, 2, 2, 4, 3, 2, 4, 0, 3, 4, 1, 4, 2, 2, 0, 3, 1, 3, 4, 4, 3, 4, 2, 2, 1, 0, 0, 4, 3, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 4, 0, 1, 3, 0, 4, 2, 3, 4, 3, 0, 4, 4, 4, 4, 3, 0, 3, 2, 1, 4, 2, 2, 3, 0, 4, 4, 1, 2, 2, 3, 1, 4, 3, 0, 0, 2, 3, 3, 2, 1, 4, 4, 2, 1, 2, 0, 2, 1, 4, 3, 2, 4, 0, 4, 2, 2, 4, 3, 0, 1, 2, 4, 3, 2, 2, 0, 4, 1, 1, 4, 0, 2, 0, 2, 2, 0, 2, 3, 1, 3, 3, 1, 4, 1, 1, 4, 4, 2, 4, 3, 0, 0, 0, 3, 0, 3, 1, 4, 0, 3, 1, 1, 0, 2, 2, 0, 2, 2, 4, 4, 1, 4] pubkeycol1257 = [1, 2, 3, 3, 1, 0, 3, 1, 0, 3, 3, 2, 3, 1, 1, 3, 1, 2, 2, 0, 4, 3, 1, 1, 4, 0, 1, 2, 0, 3, 1, 2, 3, 4, 4, 0, 3, 2, 4, 0, 4, 4, 2, 3, 4, 3, 4, 2, 0, 4, 3, 2, 2, 0, 2, 1, 2, 4, 2, 4, 0, 2, 1, 1, 3, 4, 2, 1, 4, 1, 4, 4, 4, 0, 0, 1, 3, 3, 2, 4, 2, 4, 0, 1, 0, 2, 3, 1, 2, 1, 3, 3, 3, 4, 0, 4, 1, 2, 2, 0, 3, 4, 3, 0, 0, 1, 0, 3, 2, 3, 4, 2, 4, 4, 4, 1, 2, 0, 2, 4, 4, 2, 3, 3, 2, 3, 0, 4, 4, 3, 1, 3, 2, 0, 4, 3, 2, 4, 4, 4, 3, 3, 1, 0, 4, 2, 3, 2, 4, 3, 0, 4, 2, 2, 4, 2, 1, 2, 2, 3, 1, 0, 4, 0, 0, 2, 3, 3, 1, 4, 2, 1, 1, 0, 1, 3, 2, 4, 4, 3, 3, 3, 4, 0, 1, 3, 0, 4, 2, 4, 1, 4, 4, 1, 3, 4, 3, 1, 3, 2, 2, 1, 4, 0, 1, 1, 1, 1, 0, 0, 4, 0, 2, 0, 1, 0, 1, 2, 3, 3, 4, 0, 3, 1, 1, 1, 0, 4, 3, 2, 0, 1, 1, 4, 3, 3, 0, 1, 1, 4, 3, 4, 2, 3, 0, 1, 4, 1, 0, 3, 1, 3, 1, 1, 3, 2, 3, 3, 4, 0, 2, 1, 1, 0, 3, 4, 0, 1, 3, 3, 0, 0, 0, 2, 1, 3, 0, 0, 3, 0, 3, 2, 1, 2, 1, 4, 0, 3, 2, 3, 3, 0, 4, 0, 1, 1, 4, 3, 1, 2, 0, 3, 2, 4, 1, 2, 4, 1, 4, 4, 4, 3, 1, 0, 1, 2, 1, 1, 4, 4, 3, 3, 3, 2, 0, 3, 3, 1, 2, 3, 0, 1, 3, 1, 1, 2, 4, 0, 0, 2, 1, 3, 0, 0, 1, 4, 1, 0, 3, 2, 2, 0, 2, 2, 3, 2, 1, 4, 4, 3, 3, 2, 3, 1, 3, 1, 3, 4, 0, 0, 2, 4, 4, 3, 1, 4, 0, 2, 3, 1, 4, 4, 2, 1, 4, 2, 2, 0, 4, 2, 4, 0, 2, 3, 0, 1, 3, 2, 2, 4] pubkeycol1258 = [0, 1, 3, 0, 2, 3, 0, 0, 1, 2, 2, 4, 0, 2, 2, 0, 0, 1, 0, 3, 2, 0, 3, 3, 1, 3, 2, 4, 0, 3, 0, 3, 2, 0, 2, 4, 0, 1, 4, 2, 2, 4, 2, 2, 4, 1, 1, 4, 2, 3, 0, 1, 4, 3, 0, 3, 2, 2, 1, 1, 4, 4, 1, 0, 3, 4, 0, 2, 0, 2, 0, 4, 3, 3, 0, 2, 0, 0, 4, 4, 4, 2, 1, 2, 4, 1, 4, 1, 4, 0, 4, 4, 4, 3, 4, 3, 4, 4, 2, 2, 2, 0, 0, 2, 3, 2, 4, 0, 0, 3, 1, 4, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 4, 4, 0, 4, 0, 4, 1, 1, 1, 3, 0, 3, 0, 3, 4, 1, 2, 1, 4, 3, 4, 1, 2, 2, 3, 0, 4, 2, 3, 2, 3, 1, 0, 1, 2, 3, 4, 1, 2, 2, 0, 2, 4, 0, 1, 2, 3, 1, 4, 0, 1, 3, 2, 2, 4, 1, 2, 1, 0, 4, 1, 2, 4, 0, 0, 0, 1, 1, 2, 2, 0, 4, 3, 3, 0, 2, 4, 3, 4, 0, 2, 0, 3, 1, 2, 4, 1, 1, 2, 4, 4, 3, 1, 1, 0, 1, 3, 2, 2, 1, 4, 0, 2, 3, 1, 0, 0, 3, 3, 2, 3, 4, 0, 2, 4, 0, 4, 0, 1, 0, 4, 4, 3, 3, 4, 1, 1, 3, 4, 4, 2, 4, 1, 3, 3, 3, 4, 3, 1, 2, 0, 3, 3, 3, 1, 1, 1, 1, 4, 2, 1, 3, 2, 2, 4, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 2, 2, 4, 0, 4, 3, 4, 3, 3, 4, 1, 3, 4, 4, 1, 1, 4, 1, 0, 1, 4, 1, 2, 1, 0, 1, 1, 3, 2, 1, 1, 3, 0, 0, 2, 3, 1, 3, 4, 4, 1, 2, 4, 0, 3, 4, 2, 3, 4, 2, 1, 0, 0, 4, 3, 3, 1, 0, 4, 1, 4, 3, 3, 0, 2, 1, 4, 3, 2, 0, 4, 0, 0, 2, 4, 1, 4, 3, 3, 3, 3, 2, 2, 1, 3, 3, 4, 3, 4, 1, 1, 4, 0, 4, 0, 2, 1, 0, 1, 4, 0, 2, 1, 1, 4, 2, 0, 3, 2, 2, 1] pubkeycol1259 = [3, 1, 4, 0, 1, 2, 1, 3, 0, 1, 2, 1, 0, 4, 0, 2, 4, 2, 4, 0, 0, 0, 0, 2, 3, 3, 4, 3, 3, 4, 0, 1, 2, 2, 2, 3, 3, 1, 2, 4, 0, 2, 3, 1, 2, 1, 0, 3, 3, 2, 1, 4, 1, 3, 0, 1, 1, 2, 4, 0, 1, 1, 1, 1, 2, 0, 3, 0, 3, 3, 1, 0, 2, 0, 2, 4, 2, 1, 0, 1, 3, 1, 4, 1, 3, 4, 2, 2, 0, 1, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 3, 2, 0, 3, 1, 0, 2, 3, 1, 3, 1, 1, 4, 3, 4, 4, 3, 3, 4, 2, 0, 0, 2, 0, 3, 0, 1, 1, 2, 0, 2, 3, 3, 3, 0, 2, 3, 2, 3, 3, 2, 3, 2, 4, 1, 0, 3, 3, 4, 4, 0, 3, 1, 4, 2, 2, 1, 2, 3, 1, 3, 0, 0, 0, 1, 1, 4, 1, 3, 1, 2, 1, 3, 1, 0, 4, 2, 3, 4, 2, 0, 4, 0, 2, 1, 3, 3, 2, 0, 1, 1, 0, 3, 1, 4, 3, 4, 1, 0, 3, 3, 1, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 2, 2, 1, 4, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 4, 2, 4, 2, 3, 1, 0, 1, 0, 2, 4, 4, 0, 0, 4, 0, 3, 0, 3, 2, 2, 2, 0, 4, 4, 1, 4, 0, 4, 1, 2, 3, 1, 4, 1, 1, 0, 0, 1, 3, 4, 3, 1, 4, 0, 2, 0, 1, 3, 2, 4, 2, 2, 0, 3, 0, 0, 3, 2, 3, 4, 1, 4, 2, 1, 0, 3, 4, 0, 2, 4, 1, 1, 3, 3, 0, 0, 3, 4, 2, 3, 2, 3, 4, 2, 1, 4, 3, 1, 4, 2, 2, 1, 0, 2, 2, 0, 3, 2, 3, 4, 3, 1, 4, 3, 3, 3, 4, 2, 1, 2, 4, 4, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 1, 4, 0, 4, 0, 1, 3, 0, 0, 1, 3, 2, 3, 4, 0, 2, 1, 2, 2, 2, 3, 2, 1, 0, 4, 0, 4, 1, 3, 3, 4, 3, 2, 4, 4, 0, 1, 0, 3, 2, 3, 1, 2, 0, 4, 2, 4, 2, 2, 0] pubkeycol1260 = [0, 3, 1, 0, 3, 0, 3, 0, 2, 0, 3, 4, 4, 0, 2, 0, 4, 1, 0, 1, 1, 1, 3, 4, 0, 0, 1, 1, 1, 4, 0, 3, 2, 2, 0, 4, 3, 2, 4, 2, 3, 2, 2, 4, 2, 1, 1, 3, 3, 0, 3, 1, 2, 0, 2, 2, 3, 1, 4, 2, 4, 2, 4, 0, 3, 0, 2, 0, 4, 0, 0, 0, 0, 3, 4, 2, 0, 1, 3, 1, 3, 1, 4, 0, 3, 0, 3, 2, 0, 3, 4, 0, 3, 0, 0, 2, 4, 1, 3, 4, 3, 1, 0, 1, 3, 4, 0, 2, 3, 2, 0, 2, 0, 0, 3, 2, 0, 0, 3, 1, 2, 4, 4, 4, 4, 0, 1, 4, 1, 2, 3, 0, 0, 3, 0, 0, 3, 0, 0, 2, 0, 4, 1, 3, 1, 4, 1, 0, 1, 2, 3, 0, 4, 1, 4, 2, 3, 3, 2, 1, 3, 4, 4, 4, 4, 0, 2, 4, 0, 2, 1, 1, 2, 0, 0, 3, 1, 3, 0, 4, 0, 2, 4, 2, 2, 0, 2, 2, 1, 4, 4, 4, 1, 1, 3, 4, 3, 1, 3, 3, 0, 1, 3, 4, 2, 2, 1, 2, 4, 3, 4, 0, 4, 0, 2, 1, 1, 1, 1, 1, 4, 3, 2, 1, 3, 2, 2, 3, 2, 3, 3, 4, 0, 2, 4, 2, 0, 0, 3, 1, 0, 1, 4, 2, 1, 4, 3, 3, 1, 1, 3, 1, 4, 0, 4, 3, 2, 3, 1, 2, 2, 0, 4, 3, 3, 1, 2, 3, 0, 0, 4, 4, 4, 1, 0, 3, 4, 3, 4, 3, 4, 1, 1, 4, 2, 1, 0, 3, 2, 3, 0, 0, 4, 3, 1, 1, 1, 0, 2, 3, 3, 1, 3, 0, 1, 2, 0, 1, 0, 3, 0, 4, 1, 2, 4, 4, 4, 1, 3, 1, 3, 2, 4, 4, 0, 0, 3, 1, 3, 2, 0, 3, 1, 1, 0, 1, 4, 0, 1, 4, 3, 4, 2, 1, 2, 3, 1, 2, 0, 4, 0, 3, 1, 2, 2, 0, 1, 1, 0, 2, 3, 1, 2, 4, 2, 0, 4, 1, 2, 4, 1, 2, 0, 2, 0, 4, 0, 1, 2, 2, 4, 3, 4, 4, 3, 3, 1, 1, 4, 1, 3, 2, 4, 4, 3, 1, 1, 2, 0, 3] pubkeycol1261 = [3, 1, 2, 3, 4, 3, 4, 3, 0, 0, 0, 1, 4, 3, 3, 1, 4, 2, 0, 4, 1, 4, 1, 4, 4, 4, 1, 0, 4, 0, 4, 3, 4, 0, 3, 3, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 4, 2, 4, 2, 1, 4, 2, 3, 3, 1, 2, 3, 1, 1, 2, 2, 4, 1, 1, 2, 4, 1, 4, 2, 4, 4, 0, 4, 2, 2, 3, 3, 0, 3, 0, 2, 2, 2, 4, 1, 2, 0, 1, 1, 0, 4, 2, 0, 4, 3, 2, 2, 3, 2, 0, 0, 1, 2, 0, 0, 4, 3, 3, 0, 4, 0, 3, 3, 3, 1, 2, 1, 0, 0, 4, 2, 4, 1, 1, 2, 0, 2, 3, 2, 1, 0, 0, 4, 2, 2, 1, 4, 1, 3, 4, 1, 4, 4, 4, 3, 1, 2, 1, 3, 0, 3, 3, 3, 3, 0, 1, 2, 4, 4, 2, 4, 1, 2, 2, 3, 4, 1, 1, 1, 2, 3, 2, 1, 2, 3, 1, 0, 1, 4, 2, 0, 4, 2, 2, 1, 3, 2, 1, 3, 3, 1, 0, 0, 3, 0, 2, 1, 1, 3, 0, 0, 4, 3, 2, 2, 4, 3, 1, 2, 1, 4, 4, 4, 3, 2, 3, 0, 3, 1, 1, 4, 0, 2, 2, 0, 1, 4, 3, 2, 0, 2, 3, 0, 1, 0, 4, 3, 3, 3, 1, 2, 2, 1, 0, 1, 0, 2, 4, 1, 3, 1, 1, 3, 4, 4, 2, 1, 0, 3, 1, 2, 0, 1, 4, 0, 1, 4, 3, 3, 3, 3, 3, 3, 1, 0, 2, 1, 1, 4, 0, 0, 4, 2, 4, 1, 2, 2, 4, 0, 0, 0, 1, 1, 1, 4, 2, 2, 3, 0, 3, 0, 3, 1, 1, 2, 0, 1, 1, 4, 4, 4, 0, 2, 3, 2, 0, 2, 0, 3, 1, 4, 1, 0, 0, 4, 2, 0, 0, 3, 2, 2, 3, 2, 4, 4, 0, 1, 2, 3, 4, 0, 3, 4, 0, 1, 2, 0, 4, 1, 0, 1, 2, 2, 3, 4, 4, 4, 1, 1, 2, 0, 3, 2, 3, 1, 1, 4, 1, 0, 1, 3, 1, 0, 1, 1, 0, 3, 0, 1, 3, 0, 1, 3, 0, 2, 4, 2, 3, 1, 4, 0, 3, 0, 0, 0, 2, 0, 1, 0] pubkeycol1262 = [0, 0, 3, 0, 2, 2, 4, 1, 3, 1, 2, 0, 3, 3, 0, 3, 0, 2, 4, 4, 0, 3, 0, 3, 1, 4, 4, 0, 1, 0, 2, 1, 2, 2, 0, 3, 4, 4, 4, 4, 1, 0, 2, 4, 2, 2, 0, 4, 4, 2, 2, 1, 4, 4, 4, 1, 2, 4, 4, 0, 4, 0, 4, 1, 4, 1, 3, 0, 1, 4, 2, 0, 3, 3, 1, 1, 3, 2, 3, 2, 1, 4, 1, 3, 2, 0, 4, 1, 1, 1, 4, 4, 4, 1, 2, 4, 4, 4, 3, 4, 4, 3, 3, 2, 2, 2, 0, 0, 3, 4, 2, 3, 3, 1, 0, 1, 3, 2, 3, 3, 1, 3, 3, 3, 1, 2, 1, 1, 0, 3, 0, 4, 2, 1, 1, 1, 2, 3, 2, 1, 3, 2, 1, 0, 2, 0, 2, 3, 2, 1, 2, 0, 3, 1, 3, 0, 4, 4, 1, 3, 4, 4, 0, 2, 4, 2, 1, 3, 1, 3, 1, 2, 4, 4, 4, 3, 1, 0, 0, 2, 4, 3, 3, 4, 0, 1, 0, 1, 0, 2, 4, 3, 4, 2, 0, 3, 2, 2, 3, 4, 2, 3, 0, 2, 2, 0, 1, 4, 3, 2, 0, 1, 2, 0, 3, 4, 4, 4, 3, 3, 0, 1, 1, 3, 2, 1, 0, 1, 4, 3, 0, 3, 0, 0, 3, 4, 2, 2, 4, 4, 3, 0, 2, 0, 2, 3, 2, 2, 3, 4, 3, 4, 3, 3, 0, 2, 1, 2, 2, 2, 2, 3, 2, 0, 1, 4, 1, 0, 4, 1, 0, 2, 0, 1, 4, 3, 2, 2, 3, 4, 1, 2, 0, 0, 2, 3, 3, 3, 1, 0, 3, 3, 3, 2, 3, 2, 4, 3, 2, 2, 4, 4, 1, 3, 0, 3, 3, 4, 4, 2, 0, 4, 1, 2, 3, 2, 2, 3, 4, 3, 3, 0, 3, 2, 4, 4, 1, 4, 3, 4, 3, 2, 0, 2, 2, 0, 0, 3, 3, 2, 4, 2, 1, 4, 4, 0, 3, 4, 0, 3, 2, 2, 2, 3, 4, 1, 0, 4, 4, 0, 3, 4, 1, 2, 4, 1, 1, 4, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 0, 3, 1, 3, 4, 4, 1, 0, 2, 4, 4, 2, 3, 3, 0, 0, 1] pubkeycol1263 = [1, 0, 1, 2, 3, 3, 3, 1, 2, 0, 1, 3, 0, 1, 0, 0, 3, 2, 1, 4, 1, 2, 3, 4, 1, 0, 4, 2, 1, 3, 0, 3, 0, 0, 0, 2, 3, 0, 2, 0, 2, 1, 0, 1, 4, 2, 3, 1, 2, 4, 3, 3, 3, 4, 1, 2, 2, 3, 2, 0, 4, 2, 3, 2, 0, 3, 0, 1, 2, 2, 4, 1, 0, 3, 2, 1, 0, 1, 4, 4, 4, 0, 1, 2, 1, 4, 2, 4, 4, 2, 3, 4, 0, 4, 4, 4, 1, 3, 1, 2, 2, 2, 3, 3, 4, 2, 1, 3, 4, 4, 2, 4, 3, 2, 1, 2, 4, 4, 4, 2, 1, 3, 0, 2, 3, 4, 1, 2, 1, 1, 3, 0, 0, 2, 2, 1, 0, 4, 1, 0, 2, 0, 0, 3, 0, 1, 4, 2, 4, 0, 0, 1, 3, 2, 3, 0, 1, 4, 2, 0, 0, 2, 3, 3, 0, 1, 1, 3, 2, 4, 4, 3, 4, 2, 0, 1, 3, 1, 1, 0, 0, 4, 2, 0, 1, 3, 3, 4, 3, 3, 1, 1, 0, 2, 4, 0, 2, 2, 1, 0, 2, 3, 3, 2, 2, 2, 2, 0, 1, 0, 3, 0, 1, 4, 2, 3, 3, 0, 0, 1, 0, 2, 4, 1, 1, 0, 3, 0, 0, 0, 3, 1, 3, 0, 4, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 0, 1, 0, 2, 3, 2, 0, 1, 0, 0, 4, 2, 1, 1, 2, 2, 2, 3, 2, 2, 0, 0, 2, 1, 0, 3, 1, 4, 2, 0, 4, 4, 0, 1, 1, 1, 0, 1, 3, 0, 3, 1, 4, 3, 1, 1, 2, 0, 3, 4, 0, 4, 0, 1, 2, 4, 1, 0, 4, 0, 0, 1, 0, 4, 2, 3, 4, 3, 0, 2, 3, 2, 2, 1, 1, 3, 2, 2, 4, 0, 2, 0, 4, 4, 2, 1, 1, 0, 3, 0, 3, 0, 2, 0, 1, 4, 3, 0, 4, 4, 0, 1, 0, 0, 3, 2, 4, 3, 2, 0, 1, 3, 0, 2, 2, 0, 4, 0, 2, 4, 2, 1, 1, 4, 4, 4, 1, 0, 1, 4, 1, 0, 2, 1, 0, 4, 3, 0, 0, 1, 3, 1, 4, 2, 3, 1, 1, 1, 0, 2] pubkeycol1264 = [2, 0, 0, 2, 2, 4, 3, 1, 2, 2, 3, 1, 2, 0, 4, 1, 3, 3, 1, 4, 3, 4, 1, 0, 4, 2, 0, 0, 2, 0, 3, 2, 3, 0, 0, 3, 3, 3, 4, 0, 0, 2, 4, 4, 4, 4, 3, 1, 4, 2, 1, 2, 4, 3, 0, 1, 2, 4, 4, 3, 3, 2, 1, 3, 3, 0, 4, 4, 3, 0, 4, 0, 1, 1, 4, 0, 3, 1, 4, 3, 0, 2, 3, 0, 1, 3, 3, 3, 1, 1, 0, 3, 3, 1, 3, 0, 2, 2, 0, 1, 2, 4, 4, 1, 4, 3, 1, 0, 1, 2, 2, 4, 3, 3, 1, 0, 3, 3, 4, 2, 3, 3, 4, 3, 3, 0, 4, 1, 3, 1, 2, 4, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 3, 4, 3, 1, 3, 1, 4, 3, 4, 4, 2, 3, 4, 0, 1, 4, 3, 0, 0, 3, 1, 2, 4, 2, 2, 1, 4, 2, 3, 2, 2, 1, 2, 1, 4, 2, 2, 0, 1, 1, 0, 2, 2, 4, 1, 2, 4, 3, 3, 0, 4, 1, 3, 0, 1, 4, 2, 3, 0, 1, 4, 4, 4, 2, 2, 1, 2, 2, 0, 2, 3, 4, 0, 2, 0, 1, 3, 0, 0, 4, 3, 3, 3, 0, 2, 3, 4, 0, 2, 4, 1, 1, 0, 0, 3, 0, 3, 3, 4, 2, 2, 1, 2, 0, 3, 1, 2, 0, 1, 2, 1, 4, 4, 1, 2, 4, 4, 1, 1, 1, 0, 3, 0, 1, 0, 3, 2, 2, 2, 0, 3, 4, 0, 3, 2, 3, 2, 4, 4, 4, 3, 2, 2, 4, 0, 4, 4, 1, 1, 1, 4, 2, 0, 0, 0, 3, 3, 1, 4, 2, 4, 4, 1, 2, 4, 1, 0, 2, 2, 1, 4, 4, 3, 1, 2, 0, 2, 4, 2, 1, 4, 0, 1, 3, 4, 4, 3, 4, 1, 2, 2, 3, 4, 4, 1, 2, 0, 3, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 3, 3, 4, 4, 1, 4, 2, 0, 3, 4, 2, 2, 3, 2, 1, 2, 3, 4, 2, 2, 3, 2, 1, 0, 4, 0, 4, 3, 0, 4, 3, 4, 4, 3, 3, 3, 0, 3, 0, 0, 2, 1, 3, 1, 4, 0, 3, 2] pubkeycol1265 = [4, 0, 3, 4, 4, 4, 1, 4, 3, 3, 2, 1, 3, 4, 4, 2, 0, 0, 0, 4, 2, 1, 4, 1, 3, 0, 2, 0, 1, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 4, 4, 4, 2, 1, 4, 1, 1, 4, 3, 4, 3, 2, 1, 0, 1, 2, 1, 3, 0, 0, 3, 4, 3, 1, 4, 1, 2, 2, 0, 0, 1, 4, 3, 4, 2, 2, 2, 4, 1, 2, 0, 4, 3, 4, 3, 2, 3, 1, 0, 0, 2, 1, 4, 1, 2, 0, 2, 1, 1, 1, 4, 1, 2, 4, 1, 2, 3, 1, 0, 0, 1, 0, 1, 2, 4, 3, 2, 1, 0, 3, 1, 0, 0, 3, 1, 0, 1, 4, 1, 0, 1, 0, 0, 0, 2, 1, 0, 3, 4, 4, 0, 3, 3, 2, 3, 3, 3, 0, 1, 4, 0, 4, 0, 0, 1, 2, 2, 3, 1, 1, 2, 1, 4, 4, 0, 3, 3, 0, 4, 2, 2, 1, 4, 3, 4, 3, 1, 2, 4, 1, 1, 0, 4, 2, 4, 3, 4, 0, 1, 2, 0, 0, 4, 2, 0, 2, 2, 1, 1, 4, 1, 4, 0, 2, 3, 4, 0, 4, 2, 2, 2, 2, 1, 3, 4, 1, 4, 4, 3, 2, 0, 3, 0, 1, 2, 3, 3, 2, 0, 2, 3, 2, 4, 2, 2, 1, 4, 2, 2, 2, 1, 3, 2, 4, 2, 1, 0, 1, 2, 3, 3, 0, 4, 3, 3, 0, 0, 3, 0, 2, 3, 4, 0, 3, 1, 2, 1, 2, 3, 4, 4, 0, 1, 3, 0, 0, 1, 2, 2, 3, 0, 1, 3, 0, 0, 2, 1, 4, 1, 0, 1, 2, 4, 2, 0, 4, 0, 2, 3, 4, 0, 0, 1, 4, 4, 4, 1, 3, 3, 4, 1, 3, 3, 2, 0, 0, 1, 0, 2, 2, 1, 4, 2, 4, 0, 0, 0, 1, 2, 2, 1, 4, 1, 0, 1, 3, 1, 2, 3, 4, 2, 4, 0, 0, 4, 0, 4, 1, 1, 3, 3, 0, 3, 1, 2, 3, 2, 0, 2, 4, 1, 1, 0, 4, 0, 2, 1, 0, 0, 0, 4, 1, 1, 3, 0, 1, 3, 4, 0, 3, 2, 1, 2, 0, 4, 3, 3, 2, 4, 2, 1, 2, 3, 2, 0, 2, 3] pubkeycol1266 = [1, 4, 1, 0, 0, 0, 4, 2, 4, 2, 1, 1, 2, 0, 2, 2, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 3, 4, 1, 3, 3, 1, 0, 2, 4, 1, 4, 4, 1, 0, 0, 4, 4, 4, 2, 2, 0, 1, 2, 4, 3, 1, 1, 1, 4, 3, 2, 2, 4, 3, 3, 3, 2, 4, 0, 0, 3, 4, 3, 0, 2, 2, 0, 4, 1, 3, 2, 4, 4, 1, 4, 1, 1, 1, 1, 3, 4, 1, 1, 1, 3, 1, 4, 1, 0, 3, 2, 1, 4, 2, 1, 4, 3, 3, 1, 0, 2, 0, 0, 3, 0, 0, 4, 1, 3, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 4, 4, 3, 2, 3, 4, 3, 4, 2, 1, 0, 4, 2, 1, 1, 1, 4, 1, 4, 4, 1, 0, 4, 1, 1, 2, 2, 4, 2, 3, 3, 2, 3, 2, 4, 0, 3, 3, 1, 3, 0, 0, 4, 2, 0, 2, 3, 4, 0, 4, 3, 3, 4, 1, 4, 4, 0, 2, 2, 1, 0, 3, 1, 1, 4, 4, 4, 0, 3, 4, 0, 4, 0, 4, 1, 3, 4, 0, 2, 1, 1, 2, 3, 4, 4, 3, 3, 1, 0, 3, 2, 4, 2, 4, 3, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 3, 2, 0, 4, 4, 4, 4, 3, 1, 4, 0, 2, 4, 2, 4, 1, 4, 1, 0, 4, 4, 3, 2, 0, 2, 2, 2, 4, 1, 4, 1, 3, 0, 0, 1, 2, 3, 4, 3, 0, 0, 3, 4, 3, 3, 1, 1, 4, 0, 2, 1, 2, 3, 3, 2, 0, 4, 0, 1, 3, 2, 2, 1, 3, 4, 3, 1, 4, 3, 1, 0, 2, 0, 0, 0, 2, 1, 3, 4, 4, 4, 0, 4, 1, 2, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 2, 3, 4, 2, 2, 0, 4, 1, 0, 1, 2, 3, 4, 0, 4, 3, 2, 4, 4, 3, 0, 0, 1, 2, 3, 3, 4, 0, 2, 4, 2, 1, 0, 0, 0, 3, 4, 1, 3, 0, 3, 3, 0, 4, 1, 0, 2, 1, 1, 0, 1, 3, 2, 4, 2, 3, 1, 4, 3, 3, 2, 4, 0, 1, 2, 2, 3, 3, 4, 0, 1, 1, 0] pubkeycol1267 = [3, 4, 4, 4, 1, 3, 1, 2, 3, 2, 3, 4, 2, 1, 1, 1, 4, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 4, 2, 3, 4, 3, 0, 4, 4, 0, 0, 4, 2, 4, 2, 4, 1, 3, 2, 3, 2, 0, 2, 3, 2, 2, 1, 2, 1, 1, 2, 4, 2, 3, 3, 3, 1, 0, 4, 1, 3, 2, 0, 3, 1, 3, 0, 1, 2, 4, 3, 2, 1, 1, 2, 0, 3, 3, 2, 3, 3, 3, 4, 4, 0, 0, 4, 1, 3, 1, 0, 3, 4, 3, 0, 1, 1, 3, 4, 3, 4, 3, 2, 4, 0, 4, 3, 3, 4, 1, 2, 0, 4, 0, 4, 0, 0, 4, 2, 4, 4, 3, 1, 4, 2, 3, 0, 1, 3, 3, 4, 3, 3, 2, 1, 4, 3, 0, 2, 4, 4, 1, 4, 0, 3, 0, 2, 4, 4, 4, 0, 3, 2, 2, 1, 3, 2, 0, 3, 4, 1, 4, 1, 3, 2, 2, 0, 3, 0, 2, 0, 2, 2, 0, 3, 1, 0, 0, 4, 2, 3, 1, 2, 2, 4, 2, 1, 1, 3, 1, 1, 4, 2, 4, 2, 3, 1, 1, 2, 0, 4, 0, 2, 1, 0, 3, 2, 1, 2, 0, 1, 0, 0, 0, 0, 3, 2, 0, 2, 4, 0, 0, 3, 4, 0, 3, 1, 2, 0, 4, 3, 4, 4, 2, 4, 0, 4, 4, 1, 2, 2, 0, 2, 4, 0, 0, 4, 0, 3, 4, 1, 1, 3, 4, 4, 4, 1, 4, 2, 2, 0, 0, 3, 3, 2, 3, 3, 0, 3, 3, 1, 4, 0, 1, 4, 3, 3, 2, 4, 0, 0, 3, 0, 3, 0, 2, 1, 3, 3, 4, 1, 4, 4, 1, 1, 1, 3, 1, 4, 4, 4, 3, 4, 3, 0, 4, 2, 0, 4, 4, 0, 1, 0, 0, 4, 0, 3, 0, 0, 0, 0, 3, 3, 1, 2, 2, 4, 2, 2, 3, 4, 1, 2, 1, 4, 1, 2, 0, 2, 1, 1, 4, 2, 1, 1, 1, 0, 3, 1, 2, 4, 3, 3, 2, 2, 3, 1, 1, 0, 4, 4, 0, 1, 4, 1, 4, 1, 3, 0, 3, 2, 1, 3, 4, 3, 4, 4, 1, 0, 1, 1, 2, 0, 1, 2, 0, 4, 3, 4, 3, 2, 4, 3] pubkeycol1268 = [0, 4, 1, 0, 0, 1, 2, 1, 0, 3, 0, 3, 1, 4, 2, 3, 3, 0, 0, 2, 2, 0, 2, 0, 1, 2, 4, 2, 3, 3, 1, 0, 3, 1, 2, 3, 4, 1, 1, 3, 1, 3, 0, 4, 4, 2, 0, 0, 3, 0, 3, 4, 1, 1, 4, 1, 2, 1, 3, 0, 3, 4, 4, 2, 2, 0, 3, 0, 3, 2, 4, 1, 3, 4, 0, 0, 1, 2, 0, 3, 1, 4, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 4, 2, 4, 3, 1, 0, 1, 4, 0, 4, 4, 3, 3, 2, 2, 2, 1, 2, 2, 2, 3, 3, 4, 0, 0, 1, 3, 2, 4, 0, 0, 1, 0, 1, 3, 1, 4, 3, 3, 4, 0, 2, 0, 3, 0, 2, 2, 1, 0, 3, 0, 3, 0, 1, 1, 4, 1, 2, 4, 2, 3, 0, 3, 4, 2, 1, 4, 1, 3, 0, 2, 3, 0, 3, 2, 3, 3, 3, 3, 4, 2, 4, 3, 1, 0, 1, 3, 0, 1, 2, 0, 2, 1, 4, 2, 0, 4, 0, 3, 1, 2, 0, 3, 0, 4, 4, 1, 3, 2, 0, 2, 0, 0, 4, 4, 2, 1, 4, 0, 0, 2, 4, 2, 3, 1, 3, 4, 1, 0, 2, 2, 1, 1, 1, 4, 0, 4, 4, 3, 2, 3, 1, 2, 4, 3, 2, 1, 0, 4, 3, 2, 3, 0, 3, 0, 3, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 4, 3, 3, 4, 0, 2, 0, 2, 1, 3, 4, 1, 1, 2, 0, 2, 2, 3, 1, 0, 4, 2, 4, 3, 2, 3, 0, 2, 0, 1, 4, 1, 0, 0, 0, 4, 1, 2, 0, 3, 0, 1, 0, 3, 0, 0, 1, 3, 3, 3, 0, 2, 1, 0, 2, 2, 0, 3, 3, 4, 4, 0, 0, 3, 4, 1, 4, 0, 3, 2, 1, 4, 4, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 4, 0, 0, 4, 2, 4, 2, 1, 4, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 4, 0, 2, 1, 3, 2, 1, 4, 0, 0, 3, 1, 0, 2, 2, 2, 3, 0, 3, 1, 3] pubkeycol1269 = [4, 4, 2, 1, 3, 0, 1, 3, 2, 2, 3, 0, 1, 1, 2, 2, 3, 0, 0, 2, 0, 3, 2, 0, 1, 1, 1, 0, 4, 4, 3, 3, 2, 0, 0, 0, 4, 4, 1, 4, 1, 0, 2, 4, 0, 4, 3, 2, 1, 4, 2, 4, 1, 4, 1, 0, 1, 0, 2, 3, 1, 0, 4, 0, 2, 4, 3, 3, 0, 3, 3, 4, 4, 2, 1, 2, 0, 3, 3, 0, 0, 2, 2, 3, 2, 3, 1, 4, 0, 4, 0, 1, 4, 3, 4, 0, 3, 2, 3, 3, 2, 0, 0, 3, 3, 2, 4, 2, 2, 3, 2, 3, 0, 1, 0, 2, 3, 2, 2, 1, 2, 0, 0, 4, 4, 4, 1, 4, 0, 3, 0, 1, 0, 2, 2, 3, 4, 2, 4, 4, 1, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 0, 4, 2, 2, 0, 0, 1, 3, 0, 3, 0, 4, 1, 0, 4, 2, 3, 1, 1, 1, 3, 2, 3, 2, 0, 4, 1, 2, 4, 4, 4, 0, 3, 3, 0, 3, 1, 0, 4, 1, 0, 3, 2, 0, 3, 1, 1, 4, 4, 4, 0, 1, 1, 3, 4, 1, 1, 2, 1, 0, 4, 3, 1, 2, 4, 2, 2, 1, 0, 4, 2, 3, 4, 2, 4, 2, 2, 1, 0, 4, 2, 3, 3, 4, 0, 2, 1, 3, 0, 1, 0, 3, 0, 1, 4, 1, 1, 2, 2, 1, 4, 3, 2, 2, 1, 0, 3, 0, 1, 3, 2, 4, 3, 4, 2, 0, 0, 3, 1, 1, 1, 0, 2, 4, 1, 3, 3, 4, 1, 0, 3, 4, 1, 4, 4, 3, 1, 0, 3, 0, 3, 3, 1, 2, 3, 3, 4, 3, 3, 4, 1, 1, 4, 0, 0, 4, 3, 0, 4, 2, 3, 4, 1, 2, 3, 2, 2, 4, 0, 0, 1, 1, 4, 1, 0, 1, 1, 3, 1, 0, 2, 0, 2, 1, 1, 2, 4, 1, 3, 0, 0, 1, 2, 1, 2, 3, 1, 3, 2, 3, 4, 0, 2, 3, 1, 1, 2, 0, 1, 3, 3, 2, 2, 1, 3, 3, 1, 0, 3, 1, 2, 0, 3, 1, 0, 2, 1, 2, 1, 4, 0, 0, 1, 0, 3, 0, 1, 2, 1, 3, 4, 4, 0, 4, 3, 1, 1, 0, 2] pubkeycol1270 = [1, 2, 4, 1, 0, 0, 1, 1, 3, 4, 2, 4, 1, 3, 2, 4, 0, 1, 2, 4, 1, 4, 2, 0, 2, 4, 3, 0, 2, 1, 4, 4, 1, 1, 2, 3, 0, 1, 3, 2, 1, 4, 2, 0, 3, 3, 1, 2, 4, 2, 4, 2, 1, 2, 1, 4, 3, 2, 2, 0, 3, 4, 2, 1, 2, 0, 3, 1, 3, 1, 2, 0, 3, 1, 2, 1, 3, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 4, 0, 1, 1, 2, 3, 0, 1, 3, 4, 4, 3, 3, 3, 1, 2, 0, 0, 4, 0, 0, 0, 0, 3, 2, 3, 0, 4, 2, 1, 2, 1, 3, 3, 1, 1, 4, 1, 1, 0, 3, 1, 4, 1, 2, 3, 0, 4, 3, 3, 0, 4, 1, 1, 1, 2, 2, 4, 0, 4, 1, 0, 0, 4, 1, 2, 4, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 4, 1, 4, 0, 0, 1, 3, 4, 2, 3, 4, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 4, 2, 0, 0, 1, 3, 1, 3, 2, 0, 2, 2, 2, 4, 3, 3, 0, 1, 1, 1, 0, 2, 0, 3, 1, 2, 2, 3, 4, 4, 0, 1, 3, 4, 4, 3, 0, 3, 1, 4, 3, 3, 2, 0, 2, 1, 4, 4, 4, 0, 3, 0, 2, 1, 1, 1, 2, 2, 1, 0, 3, 1, 3, 4, 1, 1, 2, 0, 2, 4, 4, 2, 4, 2, 1, 1, 1, 4, 2, 0, 3, 1, 0, 3, 0, 2, 2, 3, 1, 0, 0, 2, 1, 2, 0, 3, 2, 2, 1, 0, 4, 4, 3, 0, 1, 0, 3, 3, 1, 2, 4, 1, 2, 1, 4, 2, 3, 3, 1, 0, 0, 4, 1, 0, 1, 4, 2, 3, 1, 4, 1, 0, 3, 3, 4, 4, 1, 4, 4, 2, 2, 3, 3, 3, 4, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 3, 2, 2, 0, 4, 2, 2, 1, 4, 1, 1, 0, 4, 4, 2, 1, 4, 4, 4, 0, 1, 1, 4, 0, 2, 2, 3, 1, 0, 4, 0, 4, 1, 2, 2, 4, 0, 1, 1, 1, 4, 0, 1, 1, 4, 4, 1, 1, 3, 3, 0, 2, 0] pubkeycol1271 = [3, 3, 0, 3, 2, 3, 4, 3, 2, 3, 2, 0, 0, 0, 0, 3, 0, 3, 2, 4, 3, 1, 2, 0, 2, 2, 1, 2, 0, 4, 0, 0, 1, 1, 1, 3, 3, 1, 3, 2, 1, 4, 4, 1, 4, 0, 4, 1, 3, 0, 0, 4, 0, 3, 3, 1, 2, 1, 0, 3, 4, 2, 2, 3, 3, 3, 2, 2, 1, 1, 0, 1, 0, 1, 4, 0, 4, 0, 3, 1, 3, 2, 1, 2, 3, 1, 4, 0, 2, 4, 0, 1, 2, 4, 0, 2, 1, 4, 0, 4, 4, 2, 2, 3, 2, 0, 1, 4, 3, 4, 2, 0, 0, 4, 0, 3, 0, 2, 2, 1, 0, 0, 1, 2, 3, 4, 3, 1, 0, 0, 0, 4, 0, 4, 0, 3, 4, 1, 4, 0, 3, 0, 4, 1, 4, 1, 1, 3, 2, 1, 1, 2, 1, 2, 4, 4, 2, 0, 4, 2, 1, 4, 1, 0, 1, 0, 3, 1, 0, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 1, 1, 1, 1, 4, 2, 4, 2, 1, 4, 0, 2, 4, 3, 0, 2, 3, 0, 1, 0, 0, 0, 2, 2, 0, 4, 2, 3, 3, 2, 4, 0, 0, 2, 1, 3, 0, 4, 1, 2, 1, 0, 0, 4, 4, 2, 0, 1, 1, 3, 0, 3, 1, 1, 1, 4, 3, 4, 0, 3, 0, 4, 4, 2, 2, 4, 1, 0, 3, 1, 4, 3, 0, 0, 2, 3, 2, 0, 3, 2, 4, 2, 1, 1, 1, 0, 2, 4, 4, 4, 3, 2, 4, 3, 1, 4, 2, 0, 4, 3, 4, 2, 4, 1, 0, 1, 4, 4, 2, 1, 1, 2, 2, 1, 4, 2, 0, 3, 3, 4, 2, 1, 3, 3, 1, 2, 2, 4, 0, 2, 2, 2, 0, 0, 2, 0, 2, 3, 2, 3, 0, 4, 3, 4, 4, 3, 3, 1, 0, 4, 0, 2, 2, 4, 3, 4, 1, 4, 3, 4, 0, 1, 4, 2, 0, 2, 2, 2, 4, 0, 4, 3, 2, 3, 1, 2, 0, 1, 3, 1, 4, 3, 4, 2, 1, 2, 0, 3, 3, 4, 3, 4, 2, 1, 3, 2, 1, 4, 2, 0, 3, 0, 3, 2, 0, 3, 4, 3, 1, 4, 2, 1, 3, 1, 1, 1, 1, 3, 4, 2, 3] pubkeycol1272 = [2, 2, 3, 3, 3, 2, 4, 2, 0, 2, 2, 4, 1, 0, 3, 4, 4, 1, 0, 0, 4, 0, 0, 4, 2, 1, 3, 1, 0, 0, 3, 1, 4, 3, 0, 3, 0, 1, 1, 4, 0, 1, 1, 4, 2, 0, 2, 2, 4, 0, 1, 4, 3, 1, 4, 2, 2, 0, 4, 4, 1, 0, 0, 0, 2, 3, 4, 4, 1, 3, 0, 4, 1, 1, 1, 4, 1, 3, 2, 0, 4, 3, 0, 1, 3, 0, 1, 3, 4, 1, 0, 0, 2, 2, 4, 4, 3, 4, 2, 0, 2, 1, 3, 4, 3, 0, 2, 3, 3, 3, 0, 2, 0, 4, 3, 2, 0, 4, 1, 3, 1, 4, 1, 4, 3, 1, 3, 0, 1, 2, 1, 3, 3, 4, 0, 2, 4, 4, 1, 4, 1, 2, 3, 2, 4, 4, 1, 2, 4, 2, 2, 4, 0, 0, 0, 0, 4, 3, 0, 4, 2, 0, 1, 4, 3, 4, 0, 3, 4, 3, 1, 3, 3, 4, 0, 2, 1, 1, 0, 2, 3, 3, 3, 0, 2, 0, 2, 3, 1, 2, 3, 0, 4, 0, 1, 4, 3, 3, 3, 4, 3, 1, 3, 3, 1, 3, 2, 3, 0, 1, 1, 1, 4, 0, 4, 4, 0, 4, 4, 0, 1, 1, 4, 2, 3, 4, 1, 2, 3, 2, 4, 4, 3, 1, 0, 4, 0, 0, 3, 2, 0, 0, 2, 1, 4, 1, 2, 0, 4, 2, 0, 3, 2, 2, 1, 0, 4, 0, 3, 2, 1, 4, 2, 3, 4, 2, 1, 3, 2, 4, 1, 4, 1, 1, 3, 2, 4, 4, 3, 1, 0, 4, 2, 2, 1, 3, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 3, 1, 1, 3, 0, 2, 2, 4, 2, 3, 3, 4, 1, 3, 2, 0, 1, 0, 2, 3, 4, 0, 4, 0, 1, 0, 4, 1, 2, 3, 2, 1, 3, 3, 0, 4, 0, 1, 4, 0, 2, 0, 2, 4, 4, 2, 0, 3, 4, 4, 4, 1, 1, 3, 0, 2, 2, 2, 0, 3, 3, 1, 0, 3, 4, 0, 0, 1, 2, 3, 4, 1, 3, 4, 4, 4, 1, 4, 1, 1, 3, 3, 2, 3, 0, 1, 0, 2, 1, 3, 3, 1, 2, 1, 3, 0, 0, 1, 0, 2, 4, 1, 0, 0] pubkeycol1273 = [0, 2, 0, 3, 2, 1, 0, 4, 1, 2, 1, 4, 3, 1, 4, 3, 1, 4, 4, 0, 0, 0, 0, 3, 4, 2, 1, 0, 1, 2, 3, 2, 3, 0, 3, 4, 3, 2, 3, 2, 1, 4, 4, 0, 2, 4, 4, 2, 4, 4, 3, 4, 2, 0, 4, 1, 0, 0, 3, 1, 2, 0, 3, 4, 4, 3, 3, 4, 3, 1, 1, 1, 3, 3, 1, 4, 4, 4, 1, 0, 4, 4, 0, 2, 1, 3, 3, 4, 2, 3, 3, 3, 4, 4, 1, 1, 3, 1, 4, 1, 1, 4, 4, 1, 0, 1, 1, 1, 2, 2, 3, 0, 1, 1, 1, 3, 4, 3, 1, 4, 0, 0, 1, 2, 0, 3, 4, 3, 4, 1, 2, 0, 4, 2, 2, 4, 0, 4, 1, 1, 4, 2, 2, 1, 1, 4, 3, 4, 3, 2, 0, 0, 0, 0, 0, 0, 2, 3, 2, 3, 4, 4, 4, 1, 2, 1, 4, 1, 2, 4, 2, 3, 0, 4, 0, 1, 2, 0, 0, 0, 0, 2, 0, 3, 3, 4, 3, 4, 3, 3, 3, 2, 2, 0, 1, 2, 4, 0, 0, 2, 2, 2, 3, 4, 3, 0, 3, 0, 0, 1, 4, 4, 4, 4, 1, 2, 3, 2, 3, 4, 2, 2, 2, 1, 2, 0, 1, 4, 2, 0, 3, 0, 1, 4, 4, 3, 4, 2, 2, 3, 0, 3, 3, 2, 0, 1, 4, 1, 3, 1, 3, 0, 4, 4, 0, 0, 3, 1, 3, 3, 4, 3, 2, 3, 2, 3, 3, 2, 3, 4, 3, 4, 3, 1, 4, 4, 2, 0, 3, 4, 2, 1, 1, 2, 4, 4, 2, 4, 4, 4, 3, 4, 2, 4, 2, 3, 0, 2, 0, 1, 1, 3, 3, 2, 2, 4, 4, 3, 4, 0, 2, 0, 1, 2, 3, 0, 3, 4, 2, 3, 0, 3, 4, 4, 0, 4, 0, 2, 1, 0, 0, 2, 2, 0, 1, 3, 1, 4, 0, 1, 0, 3, 4, 0, 0, 4, 0, 3, 0, 0, 3, 4, 1, 3, 0, 2, 3, 4, 0, 3, 2, 2, 3, 2, 0, 0, 0, 4, 3, 4, 4, 4, 2, 4, 4, 3, 4, 0, 4, 1, 4, 1, 0, 4, 0, 3, 1, 1, 1, 0, 4, 2, 1, 3, 0, 3, 4, 4, 2, 0] pubkeycol1274 = [1, 4, 2, 2, 4, 2, 0, 2, 3, 3, 1, 0, 2, 0, 3, 4, 0, 4, 0, 1, 3, 2, 0, 0, 1, 0, 3, 2, 0, 3, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 4, 3, 4, 0, 2, 2, 1, 1, 1, 3, 3, 1, 3, 1, 3, 0, 1, 3, 0, 3, 4, 4, 4, 4, 2, 2, 4, 2, 3, 3, 0, 0, 0, 3, 3, 4, 3, 0, 0, 4, 0, 4, 2, 0, 4, 3, 3, 4, 1, 1, 2, 2, 2, 2, 3, 4, 4, 0, 4, 3, 4, 4, 4, 0, 4, 0, 4, 1, 0, 2, 0, 1, 1, 1, 2, 0, 4, 0, 2, 4, 2, 0, 3, 3, 4, 1, 0, 2, 2, 2, 1, 0, 1, 4, 1, 1, 3, 4, 0, 4, 2, 1, 2, 1, 0, 0, 2, 1, 1, 3, 2, 4, 4, 4, 4, 1, 4, 1, 3, 4, 0, 2, 1, 2, 2, 4, 3, 4, 2, 1, 0, 1, 0, 0, 4, 4, 4, 4, 2, 0, 2, 3, 4, 3, 2, 0, 0, 4, 0, 2, 0, 2, 2, 0, 0, 4, 0, 3, 4, 0, 0, 2, 4, 2, 2, 4, 4, 3, 3, 1, 2, 0, 1, 1, 1, 2, 3, 2, 0, 4, 0, 1, 4, 3, 2, 0, 0, 3, 1, 1, 2, 0, 0, 4, 3, 2, 4, 4, 2, 0, 4, 3, 3, 2, 2, 3, 1, 3, 0, 4, 0, 0, 1, 4, 3, 2, 3, 4, 3, 2, 3, 0, 2, 0, 1, 1, 3, 1, 2, 1, 0, 3, 3, 3, 2, 1, 0, 4, 0, 1, 1, 1, 2, 0, 3, 4, 2, 3, 1, 0, 4, 0, 0, 3, 1, 1, 1, 4, 1, 4, 2, 3, 3, 3, 3, 0, 3, 4, 3, 1, 4, 1, 1, 3, 2, 4, 4, 1, 2, 2, 1, 4, 4, 4, 0, 0, 4, 2, 1, 1, 0, 3, 4, 3, 4, 0, 2, 2, 3, 1, 1, 0, 2, 4, 2, 1, 0, 0, 1, 3, 1, 1, 1, 4, 0, 1, 2, 4, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 4, 4, 2, 3, 3, 2, 3, 3, 3, 3, 4, 2, 2, 4, 0, 1, 3, 3, 4, 4, 0, 2, 0, 0, 2, 3, 2, 4, 1] pubkeycol1275 = [3, 2, 4, 1, 4, 2, 3, 1, 1, 4, 2, 3, 4, 4, 4, 0, 3, 0, 1, 2, 4, 2, 3, 3, 4, 0, 3, 2, 4, 1, 2, 0, 1, 1, 1, 4, 0, 0, 0, 3, 3, 3, 2, 4, 2, 2, 3, 4, 2, 4, 4, 1, 0, 4, 2, 0, 1, 3, 3, 4, 4, 1, 4, 2, 4, 4, 2, 1, 4, 0, 3, 4, 4, 2, 1, 2, 1, 1, 4, 3, 2, 0, 0, 1, 1, 4, 4, 4, 0, 2, 1, 2, 2, 0, 3, 1, 0, 4, 4, 0, 1, 0, 0, 4, 4, 0, 0, 0, 1, 3, 2, 3, 3, 0, 3, 2, 3, 4, 1, 4, 2, 1, 0, 3, 4, 3, 4, 3, 1, 2, 3, 3, 1, 1, 4, 1, 2, 0, 0, 2, 3, 4, 3, 4, 3, 0, 4, 3, 3, 4, 0, 4, 3, 2, 0, 4, 0, 3, 2, 4, 0, 1, 1, 2, 0, 1, 2, 1, 0, 3, 2, 0, 1, 4, 4, 4, 3, 1, 4, 0, 0, 2, 2, 3, 3, 1, 4, 1, 1, 1, 0, 2, 4, 0, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 3, 0, 2, 0, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 3, 1, 4, 2, 2, 0, 3, 3, 3, 1, 0, 3, 0, 2, 4, 4, 1, 0, 0, 1, 2, 4, 0, 3, 3, 1, 0, 3, 2, 1, 1, 3, 2, 3, 4, 4, 0, 1, 3, 1, 2, 0, 4, 2, 4, 0, 0, 0, 2, 1, 1, 3, 3, 2, 3, 4, 4, 0, 0, 3, 0, 3, 0, 4, 4, 0, 1, 0, 0, 1, 1, 4, 2, 1, 4, 1, 3, 3, 4, 1, 2, 0, 4, 2, 3, 2, 0, 1, 0, 1, 3, 4, 4, 0, 4, 3, 2, 1, 2, 2, 3, 1, 0, 1, 0, 1, 4, 1, 4, 2, 1, 1, 1, 1, 1, 3, 3, 3, 2, 3, 4, 0, 0, 2, 1, 2, 4, 0, 2, 0, 3, 0, 4, 3, 3, 1, 0, 2, 2, 0, 1, 4, 3, 3, 3, 1, 3, 0, 3, 4, 4, 2, 0, 4, 3, 0, 0, 1, 4, 4, 2, 4, 3, 4, 2, 0, 1, 1, 2, 2, 1, 4, 2, 0] pubkeycol1276 = [0, 1, 1, 2, 4, 4, 2, 3, 2, 2, 4, 0, 1, 2, 0, 1, 2, 2, 1, 3, 2, 2, 3, 1, 3, 4, 3, 4, 1, 0, 2, 4, 1, 4, 3, 4, 2, 2, 0, 3, 2, 3, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 3, 4, 4, 1, 2, 2, 1, 3, 2, 3, 3, 3, 0, 2, 1, 4, 3, 0, 3, 1, 3, 2, 1, 1, 0, 4, 3, 2, 1, 0, 2, 3, 2, 3, 4, 0, 4, 2, 4, 1, 3, 2, 1, 4, 0, 4, 1, 3, 0, 0, 0, 2, 3, 1, 0, 1, 0, 4, 1, 0, 4, 2, 2, 4, 3, 4, 1, 2, 3, 2, 4, 1, 0, 4, 0, 4, 1, 4, 2, 1, 2, 3, 3, 1, 2, 0, 1, 1, 1, 4, 3, 3, 0, 4, 2, 4, 4, 2, 2, 3, 2, 3, 4, 0, 2, 1, 2, 2, 4, 1, 1, 1, 1, 3, 4, 0, 4, 0, 0, 4, 1, 2, 2, 2, 1, 0, 3, 3, 4, 3, 2, 2, 0, 0, 0, 4, 3, 4, 2, 3, 3, 4, 2, 0, 1, 1, 4, 0, 2, 2, 0, 1, 2, 2, 4, 3, 1, 1, 3, 0, 4, 0, 1, 2, 3, 2, 3, 3, 2, 2, 2, 1, 2, 4, 1, 1, 4, 3, 1, 2, 4, 1, 2, 3, 3, 3, 4, 3, 4, 1, 2, 0, 0, 4, 4, 0, 0, 3, 3, 3, 3, 4, 4, 3, 1, 0, 3, 2, 0, 2, 4, 3, 0, 4, 3, 4, 1, 3, 2, 4, 0, 2, 4, 4, 3, 2, 3, 0, 1, 1, 4, 0, 1, 2, 2, 0, 1, 1, 4, 0, 0, 3, 3, 0, 3, 0, 0, 4, 1, 3, 1, 4, 3, 3, 4, 1, 2, 3, 0, 0, 4, 0, 4, 3, 0, 3, 2, 0, 3, 0, 0, 1, 4, 3, 1, 1, 1, 2, 2, 3, 1, 1, 3, 3, 4, 2, 1, 4, 4, 1, 0, 4, 0, 1, 3, 2, 3, 0, 2, 2, 4, 3, 2, 1, 1, 4, 3, 2, 3, 2, 4, 3, 4, 1, 1, 2, 3, 4, 4, 2, 1, 4, 2, 2, 1, 0, 1, 1, 1, 4, 0, 1, 4, 2, 0, 4, 4, 4, 3, 0, 1, 2, 0, 4, 3, 2] pubkeycol1277 = [0, 3, 3, 3, 4, 4, 3, 3, 1, 2, 2, 3, 0, 2, 2, 3, 3, 2, 4, 3, 4, 1, 2, 3, 4, 4, 2, 0, 1, 3, 4, 0, 1, 4, 0, 1, 3, 3, 1, 1, 3, 2, 1, 4, 1, 0, 3, 3, 3, 0, 0, 3, 3, 4, 2, 3, 2, 1, 2, 0, 3, 1, 0, 0, 4, 1, 4, 0, 1, 2, 3, 2, 4, 2, 2, 3, 4, 3, 4, 2, 2, 0, 1, 3, 2, 0, 3, 1, 2, 2, 2, 4, 3, 2, 2, 4, 0, 0, 2, 1, 0, 0, 1, 1, 0, 3, 1, 3, 1, 3, 3, 0, 2, 2, 2, 2, 3, 4, 4, 2, 2, 1, 2, 4, 1, 2, 2, 2, 4, 1, 2, 4, 2, 1, 1, 3, 0, 0, 3, 4, 1, 3, 3, 3, 4, 2, 2, 0, 4, 1, 3, 0, 3, 4, 2, 0, 4, 0, 2, 2, 0, 2, 3, 2, 3, 1, 3, 4, 4, 3, 4, 4, 1, 3, 0, 3, 3, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 4, 4, 2, 3, 1, 0, 4, 3, 2, 0, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 4, 2, 1, 3, 4, 4, 2, 1, 3, 3, 2, 2, 0, 3, 4, 1, 4, 4, 0, 0, 3, 0, 4, 0, 3, 2, 0, 4, 0, 3, 3, 3, 0, 2, 3, 0, 2, 3, 4, 3, 2, 0, 3, 2, 2, 4, 3, 2, 1, 1, 1, 4, 3, 3, 2, 4, 3, 1, 1, 1, 2, 4, 2, 1, 1, 1, 0, 4, 3, 3, 1, 1, 0, 1, 2, 4, 4, 3, 4, 3, 0, 2, 1, 4, 3, 2, 1, 2, 1, 3, 0, 2, 2, 3, 1, 4, 2, 0, 4, 0, 2, 4, 0, 1, 3, 1, 1, 2, 1, 0, 4, 2, 1, 0, 3, 4, 1, 3, 0, 0, 3, 1, 3, 0, 0, 4, 2, 3, 3, 4, 2, 4, 3, 4, 2, 4, 1, 2, 1, 0, 4, 2, 4, 2, 4, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 4, 4, 3, 3, 2, 1, 3, 0, 0, 4, 2, 0, 0, 4, 4, 1, 1, 3, 0, 1, 1, 1, 2, 1, 0, 3, 2, 0, 2, 4, 4, 3, 4, 0, 2, 4] pubkeycol1278 = [3, 1, 2, 2, 0, 3, 0, 2, 0, 1, 4, 3, 0, 1, 3, 4, 2, 3, 1, 1, 3, 2, 4, 4, 2, 1, 2, 2, 1, 0, 0, 2, 0, 3, 1, 3, 2, 3, 1, 3, 4, 2, 2, 1, 3, 4, 0, 1, 2, 4, 3, 4, 0, 1, 2, 4, 2, 0, 3, 3, 1, 3, 4, 4, 2, 3, 4, 3, 0, 1, 4, 1, 0, 1, 1, 0, 2, 4, 1, 3, 1, 2, 3, 3, 4, 0, 4, 2, 0, 3, 0, 1, 1, 3, 4, 0, 2, 3, 0, 0, 4, 3, 1, 2, 0, 3, 2, 1, 1, 1, 3, 0, 4, 1, 4, 3, 1, 4, 0, 3, 3, 3, 3, 1, 4, 0, 1, 4, 4, 3, 2, 0, 3, 2, 4, 2, 0, 1, 2, 0, 2, 2, 1, 1, 3, 2, 3, 3, 2, 4, 0, 2, 2, 3, 2, 4, 1, 0, 2, 0, 3, 1, 0, 3, 0, 3, 2, 1, 1, 2, 0, 4, 2, 4, 0, 4, 1, 2, 2, 3, 3, 2, 4, 2, 3, 4, 4, 4, 0, 4, 3, 2, 0, 3, 2, 1, 3, 0, 1, 1, 1, 4, 1, 4, 2, 4, 1, 0, 3, 2, 4, 4, 4, 3, 3, 1, 3, 3, 4, 1, 3, 3, 4, 4, 4, 4, 4, 1, 0, 3, 2, 3, 4, 4, 2, 3, 0, 4, 2, 0, 2, 1, 1, 4, 2, 4, 2, 1, 4, 2, 1, 2, 4, 0, 3, 0, 2, 2, 1, 4, 2, 4, 4, 4, 4, 3, 3, 4, 1, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 1, 4, 1, 1, 4, 3, 1, 4, 0, 0, 1, 2, 3, 2, 2, 4, 0, 4, 3, 3, 0, 4, 2, 2, 0, 3, 1, 0, 2, 1, 0, 0, 3, 0, 1, 1, 4, 2, 4, 0, 2, 0, 0, 1, 1, 3, 4, 2, 4, 4, 3, 0, 2, 3, 4, 0, 1, 3, 1, 4, 2, 3, 2, 4, 4, 2, 3, 2, 2, 4, 3, 2, 1, 3, 1, 3, 2, 4, 3, 3, 1, 2, 1, 4, 3, 3, 2, 1, 3, 3, 4, 3, 4, 0, 2, 1, 2, 1, 2, 4, 2, 0, 0, 1, 3, 2, 1, 0, 0, 0, 4, 4, 3, 3, 4, 3, 3, 4, 1, 2] pubkeycol1279 = [1, 1, 4, 1, 2, 3, 0, 0, 0, 2, 2, 1, 3, 2, 3, 0, 0, 4, 2, 4, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 4, 3, 3, 2, 4, 0, 1, 1, 3, 4, 1, 3, 3, 1, 1, 1, 0, 4, 0, 1, 3, 0, 4, 2, 4, 3, 1, 4, 1, 0, 2, 0, 4, 2, 2, 2, 0, 4, 2, 3, 1, 3, 3, 4, 4, 2, 3, 1, 2, 4, 0, 1, 4, 2, 2, 2, 3, 0, 2, 4, 3, 0, 3, 0, 1, 2, 0, 0, 3, 3, 1, 2, 0, 0, 0, 2, 1, 2, 4, 4, 2, 1, 3, 4, 4, 2, 2, 4, 4, 1, 4, 0, 4, 1, 4, 4, 2, 3, 1, 1, 4, 1, 1, 1, 2, 4, 3, 3, 2, 2, 0, 0, 3, 3, 0, 4, 3, 0, 1, 4, 1, 0, 2, 0, 2, 1, 2, 4, 4, 0, 0, 0, 1, 2, 3, 2, 4, 4, 2, 3, 0, 3, 3, 2, 4, 2, 3, 0, 3, 0, 2, 4, 2, 2, 2, 4, 4, 2, 1, 3, 0, 0, 0, 1, 1, 4, 2, 2, 3, 2, 4, 1, 4, 1, 4, 0, 3, 4, 3, 3, 1, 3, 2, 4, 2, 1, 4, 0, 3, 0, 1, 4, 0, 0, 3, 1, 3, 1, 3, 3, 4, 4, 3, 3, 0, 1, 2, 2, 1, 0, 1, 2, 3, 0, 2, 3, 2, 0, 1, 0, 3, 3, 1, 2, 3, 1, 0, 1, 3, 1, 4, 2, 1, 2, 2, 2, 1, 0, 3, 0, 0, 2, 2, 4, 1, 0, 2, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 4, 1, 1, 2, 2, 2, 1, 0, 2, 3, 2, 1, 3, 3, 1, 4, 1, 0, 1, 2, 4, 2, 2, 2, 4, 2, 2, 1, 2, 3, 2, 3, 0, 2, 3, 2, 4, 3, 4, 2, 2, 3, 0, 1, 3, 0, 0, 4, 4, 1, 0, 4, 1, 2, 3, 2, 0, 3, 4, 1, 1, 4, 3, 2, 3, 3, 4, 0, 0, 1, 2, 0, 4, 4, 4, 3, 4, 1, 0, 0, 3, 4, 4, 1, 4, 2, 0, 0, 3, 0, 0, 1, 4, 3, 4, 2, 4, 0, 2, 3, 4, 4, 4, 3, 1, 1, 2, 4] pubkeycol1280 = [4, 0, 3, 3, 3, 2, 0, 0, 0, 1, 2, 0, 3, 4, 0, 2, 2, 1, 2, 1, 3, 1, 3, 3, 3, 2, 1, 2, 4, 0, 3, 2, 1, 4, 1, 0, 1, 4, 1, 3, 2, 2, 1, 2, 4, 0, 4, 2, 2, 0, 3, 2, 3, 4, 0, 2, 0, 4, 2, 0, 3, 4, 2, 2, 4, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 4, 3, 4, 0, 3, 3, 4, 0, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 4, 1, 2, 1, 1, 0, 1, 4, 4, 4, 4, 3, 4, 2, 4, 3, 1, 0, 3, 0, 4, 1, 2, 2, 0, 1, 2, 0, 4, 2, 2, 1, 4, 2, 1, 0, 0, 4, 2, 1, 4, 2, 4, 0, 3, 4, 2, 2, 4, 1, 0, 4, 1, 1, 4, 2, 2, 2, 2, 1, 3, 3, 2, 4, 2, 3, 2, 1, 4, 4, 0, 3, 3, 0, 3, 1, 4, 2, 4, 1, 2, 1, 1, 4, 2, 3, 1, 2, 3, 2, 1, 4, 1, 1, 0, 3, 4, 3, 2, 3, 2, 1, 4, 1, 2, 0, 4, 4, 4, 1, 3, 2, 2, 0, 4, 1, 2, 1, 1, 4, 2, 0, 2, 4, 1, 3, 3, 3, 3, 1, 3, 1, 0, 0, 3, 1, 3, 4, 3, 4, 4, 0, 1, 2, 3, 2, 3, 1, 4, 0, 2, 0, 4, 4, 3, 2, 1, 3, 3, 3, 3, 1, 0, 2, 1, 4, 0, 1, 0, 1, 2, 4, 4, 4, 3, 4, 2, 0, 0, 3, 2, 2, 3, 4, 0, 0, 2, 3, 3, 3, 0, 0, 3, 2, 0, 0, 4, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 3, 1, 2, 3, 4, 0, 4, 4, 0, 3, 0, 3, 4, 1, 0, 2, 4, 3, 0, 2, 0, 0, 4, 2, 0, 2, 4, 4, 3, 4, 4, 4, 2, 4, 2, 0, 1, 0, 0, 4, 0, 4, 3, 1, 4, 3, 2, 4, 2, 1, 2, 2, 4, 4, 4, 2, 1, 1, 1, 3, 3, 0, 4, 3, 0, 3, 0, 3, 4, 0, 4, 1, 2, 2, 0, 1, 3, 2, 4, 4, 0, 3, 0, 1, 4, 1, 0, 0, 3, 4, 1, 2, 0, 3, 0, 0] pubkeycol1281 = [4, 3, 4, 0, 4, 4, 2, 1, 3, 3, 4, 2, 1, 2, 1, 0, 4, 0, 1, 0, 1, 4, 2, 1, 1, 4, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 2, 2, 2, 1, 0, 4, 4, 3, 1, 4, 2, 1, 0, 2, 4, 3, 4, 0, 2, 2, 3, 3, 4, 4, 1, 3, 4, 3, 3, 0, 1, 0, 0, 4, 2, 4, 0, 2, 4, 0, 3, 1, 4, 2, 2, 3, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 4, 1, 3, 0, 1, 0, 1, 4, 3, 0, 4, 1, 2, 1, 2, 2, 2, 3, 4, 3, 3, 2, 0, 4, 0, 1, 3, 0, 0, 4, 1, 0, 2, 0, 1, 0, 0, 0, 4, 1, 0, 3, 1, 4, 1, 1, 1, 0, 4, 3, 0, 2, 4, 0, 0, 4, 4, 4, 0, 2, 4, 4, 3, 4, 0, 3, 4, 1, 0, 0, 3, 4, 4, 3, 1, 1, 3, 3, 2, 0, 1, 1, 3, 2, 1, 2, 2, 0, 2, 3, 2, 3, 0, 2, 4, 3, 4, 0, 1, 1, 1, 0, 4, 4, 3, 0, 4, 1, 2, 3, 3, 4, 3, 3, 3, 2, 4, 4, 0, 0, 3, 2, 2, 0, 3, 1, 2, 4, 2, 4, 4, 0, 1, 0, 3, 2, 3, 1, 1, 3, 0, 4, 4, 2, 3, 1, 1, 0, 2, 0, 0, 1, 4, 1, 1, 2, 1, 3, 3, 1, 0, 0, 4, 3, 3, 1, 3, 1, 0, 0, 3, 2, 3, 4, 1, 2, 0, 3, 3, 0, 1, 4, 0, 2, 0, 2, 3, 4, 0, 1, 1, 4, 3, 1, 1, 2, 0, 0, 0, 3, 2, 2, 3, 2, 4, 0, 1, 3, 1, 2, 2, 2, 2, 0, 4, 4, 0, 3, 2, 4, 4, 1, 2, 1, 1, 3, 1, 2, 4, 4, 2, 4, 4, 3, 4, 1, 3, 2, 0, 1, 0, 3, 0, 1, 3, 0, 3, 3, 2, 3, 2, 2, 1, 1, 0, 2, 1, 0, 2, 3, 4, 0, 2, 1, 0, 4, 3, 0, 4, 0, 2, 4, 2, 0, 1, 2, 0, 3, 2, 2, 0, 3, 3, 3, 3, 4, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 0, 4, 4, 4] pubkeycol1282 = [3, 4, 3, 2, 2, 2, 1, 3, 1, 0, 2, 0, 0, 3, 1, 4, 0, 0, 0, 0, 0, 3, 4, 1, 0, 1, 4, 3, 1, 3, 0, 1, 1, 4, 0, 0, 0, 0, 4, 2, 1, 4, 4, 3, 3, 2, 0, 1, 4, 2, 0, 3, 1, 0, 0, 3, 1, 2, 3, 3, 2, 0, 0, 2, 4, 3, 1, 0, 4, 3, 0, 0, 0, 4, 2, 0, 2, 3, 4, 2, 0, 4, 0, 3, 2, 2, 4, 2, 3, 2, 1, 3, 4, 4, 2, 3, 0, 2, 4, 2, 1, 1, 0, 4, 3, 1, 2, 1, 2, 3, 2, 1, 1, 4, 4, 2, 0, 1, 1, 2, 2, 3, 3, 2, 1, 0, 3, 3, 0, 0, 4, 4, 3, 4, 4, 3, 1, 4, 0, 2, 2, 3, 4, 1, 2, 3, 1, 3, 3, 1, 3, 4, 2, 2, 0, 3, 3, 0, 3, 2, 4, 3, 0, 3, 0, 3, 0, 2, 3, 0, 3, 4, 0, 0, 4, 4, 0, 3, 2, 4, 4, 0, 2, 1, 0, 3, 2, 3, 3, 0, 3, 4, 4, 3, 1, 4, 0, 3, 4, 2, 3, 1, 3, 0, 2, 3, 4, 3, 0, 4, 1, 2, 1, 0, 1, 3, 4, 4, 1, 3, 3, 1, 3, 2, 1, 0, 2, 2, 4, 4, 4, 2, 3, 4, 1, 2, 0, 0, 1, 2, 1, 1, 4, 1, 0, 4, 1, 3, 1, 0, 2, 2, 3, 3, 2, 1, 2, 3, 0, 0, 0, 3, 2, 1, 0, 1, 2, 3, 0, 0, 4, 4, 1, 2, 0, 3, 2, 3, 3, 4, 0, 3, 2, 4, 4, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 3, 2, 4, 4, 1, 1, 3, 2, 0, 4, 4, 0, 2, 1, 0, 1, 2, 4, 2, 4, 3, 3, 1, 1, 0, 4, 1, 4, 3, 4, 0, 0, 3, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 4, 0, 4, 4, 2, 3, 0, 1, 0, 0, 2, 0, 2, 4, 2, 1, 2, 0, 3, 0, 4, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 4, 0, 0, 1, 3, 0, 4, 0, 1, 0, 1, 1, 0, 4, 2, 2, 0, 1, 0, 2, 4, 3, 3, 2, 3] pubkeycol1283 = [4, 1, 0, 3, 3, 2, 1, 0, 3, 2, 0, 1, 0, 1, 3, 1, 0, 0, 0, 3, 2, 1, 3, 4, 4, 2, 1, 2, 3, 3, 0, 1, 4, 4, 3, 1, 0, 4, 4, 4, 2, 4, 0, 4, 4, 4, 2, 0, 3, 3, 0, 1, 3, 2, 3, 0, 2, 2, 1, 4, 4, 1, 3, 1, 4, 2, 0, 0, 1, 2, 0, 3, 0, 0, 0, 3, 3, 2, 0, 0, 4, 1, 2, 0, 1, 0, 0, 2, 4, 3, 3, 0, 0, 2, 0, 3, 1, 0, 2, 2, 4, 2, 0, 4, 0, 4, 1, 4, 3, 4, 1, 3, 0, 3, 0, 2, 0, 3, 4, 4, 1, 1, 1, 3, 0, 0, 1, 3, 1, 3, 0, 0, 2, 4, 3, 4, 1, 0, 4, 3, 3, 2, 0, 2, 1, 3, 3, 0, 2, 4, 0, 0, 1, 2, 3, 3, 0, 3, 2, 4, 1, 1, 0, 3, 2, 4, 2, 3, 2, 0, 4, 3, 2, 2, 2, 4, 4, 1, 1, 4, 0, 1, 2, 1, 3, 0, 2, 3, 0, 0, 3, 2, 4, 0, 1, 0, 1, 1, 4, 3, 3, 0, 0, 2, 3, 3, 4, 2, 3, 2, 3, 3, 1, 0, 4, 4, 4, 2, 0, 3, 0, 1, 2, 1, 2, 1, 2, 3, 4, 1, 4, 1, 3, 4, 4, 2, 2, 2, 2, 0, 4, 2, 0, 1, 2, 1, 3, 4, 3, 4, 2, 1, 0, 3, 0, 4, 1, 0, 0, 1, 3, 4, 2, 2, 4, 2, 4, 1, 4, 2, 4, 0, 3, 2, 4, 3, 4, 0, 4, 4, 4, 1, 2, 0, 1, 2, 0, 1, 0, 0, 3, 4, 2, 0, 4, 2, 1, 3, 4, 1, 0, 1, 2, 4, 3, 4, 2, 0, 0, 3, 4, 1, 3, 2, 3, 3, 2, 2, 3, 1, 1, 3, 0, 0, 0, 1, 1, 0, 4, 1, 2, 4, 2, 2, 0, 2, 3, 4, 2, 3, 3, 3, 1, 4, 2, 0, 2, 1, 0, 4, 1, 0, 4, 0, 3, 4, 2, 4, 3, 3, 4, 0, 1, 2, 4, 1, 0, 3, 0, 2, 4, 4, 3, 2, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 1, 0, 3, 1, 4, 2, 0, 2, 0, 0, 3, 4, 4, 0, 2] pubkeycol1284 = [4, 2, 0, 2, 2, 2, 0, 3, 0, 0, 3, 3, 2, 3, 1, 3, 2, 2, 0, 2, 2, 3, 0, 2, 3, 2, 0, 3, 4, 4, 3, 0, 1, 3, 2, 2, 3, 3, 1, 4, 4, 1, 3, 2, 1, 3, 1, 2, 0, 2, 3, 4, 0, 4, 3, 0, 1, 3, 4, 2, 1, 0, 0, 0, 4, 0, 3, 2, 4, 3, 2, 1, 4, 3, 2, 2, 3, 1, 1, 2, 1, 1, 3, 2, 4, 4, 4, 2, 1, 0, 3, 1, 2, 2, 3, 1, 0, 0, 0, 1, 3, 3, 0, 1, 3, 2, 0, 0, 4, 1, 2, 0, 3, 0, 4, 0, 0, 0, 1, 4, 3, 4, 0, 4, 1, 4, 3, 1, 2, 2, 2, 0, 4, 1, 3, 3, 3, 0, 4, 1, 4, 0, 2, 3, 0, 0, 2, 1, 1, 4, 3, 1, 4, 3, 1, 4, 3, 2, 0, 3, 3, 2, 1, 1, 3, 4, 4, 0, 4, 0, 4, 0, 2, 1, 3, 4, 2, 0, 1, 1, 3, 0, 0, 0, 0, 2, 1, 0, 1, 4, 1, 4, 4, 1, 1, 2, 2, 0, 4, 2, 3, 0, 3, 3, 0, 2, 0, 4, 1, 0, 2, 0, 2, 3, 3, 2, 0, 4, 2, 3, 3, 3, 0, 4, 3, 1, 2, 2, 3, 4, 0, 3, 3, 2, 3, 0, 1, 2, 0, 4, 2, 1, 0, 1, 1, 4, 1, 3, 0, 2, 1, 3, 2, 0, 4, 3, 3, 1, 3, 4, 1, 1, 3, 2, 1, 4, 0, 0, 3, 1, 3, 2, 1, 0, 2, 3, 4, 4, 0, 3, 2, 1, 1, 3, 3, 1, 2, 1, 2, 4, 4, 0, 2, 4, 0, 0, 0, 1, 3, 3, 4, 1, 0, 1, 3, 3, 2, 1, 3, 0, 0, 0, 1, 1, 3, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 3, 3, 4, 0, 0, 3, 0, 3, 4, 4, 0, 4, 3, 4, 0, 3, 1, 0, 2, 2, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 3, 4, 3, 4, 4, 4, 0, 3, 2, 2, 2, 1, 3, 3, 3, 4, 3, 2, 2, 0, 0, 2, 3, 2, 0, 3, 4, 3, 3, 4, 3, 4, 3, 1, 4, 0, 4, 2, 0, 3, 4, 2, 1] pubkeycol1285 = [0, 4, 4, 1, 0, 1, 1, 1, 0, 0, 4, 1, 1, 1, 0, 3, 3, 4, 1, 0, 4, 2, 0, 2, 4, 3, 3, 2, 4, 4, 3, 1, 3, 1, 0, 4, 3, 1, 4, 0, 4, 3, 4, 2, 4, 2, 1, 3, 0, 1, 4, 4, 1, 0, 2, 3, 0, 2, 0, 3, 1, 0, 3, 4, 3, 2, 3, 1, 2, 0, 0, 0, 2, 1, 1, 4, 3, 3, 4, 2, 2, 4, 2, 4, 0, 1, 4, 2, 2, 2, 1, 3, 1, 3, 4, 2, 1, 3, 4, 2, 3, 3, 2, 4, 4, 3, 0, 4, 0, 0, 3, 0, 4, 4, 2, 4, 2, 0, 1, 0, 2, 0, 1, 0, 1, 4, 0, 4, 3, 4, 2, 4, 0, 2, 2, 2, 0, 2, 2, 3, 3, 3, 0, 3, 4, 0, 2, 3, 3, 2, 1, 4, 1, 0, 3, 4, 0, 1, 0, 1, 4, 2, 2, 1, 2, 0, 1, 2, 4, 2, 0, 3, 3, 3, 4, 3, 0, 3, 2, 2, 0, 3, 0, 3, 2, 1, 1, 4, 0, 4, 1, 4, 4, 0, 1, 3, 4, 1, 1, 0, 0, 3, 1, 0, 3, 2, 3, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 4, 3, 3, 4, 1, 4, 3, 0, 0, 0, 3, 0, 0, 2, 0, 2, 3, 1, 4, 2, 1, 2, 3, 1, 3, 4, 4, 3, 3, 0, 3, 4, 2, 0, 3, 3, 2, 4, 3, 4, 4, 0, 3, 4, 4, 3, 2, 0, 0, 4, 0, 0, 3, 1, 2, 4, 3, 0, 4, 1, 2, 4, 4, 2, 4, 0, 2, 3, 1, 0, 0, 4, 3, 3, 4, 1, 1, 1, 2, 1, 4, 3, 2, 4, 4, 4, 1, 2, 1, 4, 1, 0, 3, 4, 2, 4, 2, 0, 1, 3, 2, 2, 2, 0, 4, 1, 3, 0, 4, 0, 2, 0, 1, 0, 1, 3, 0, 2, 3, 1, 1, 2, 1, 0, 2, 4, 2, 1, 2, 4, 3, 4, 0, 2, 0, 4, 2, 4, 0, 2, 3, 0, 0, 4, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 3, 2, 2, 3, 1, 1, 0, 1, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 1, 4, 4, 0, 4, 1, 3, 0, 2, 0] pubkeycol1286 = [0, 0, 3, 1, 1, 4, 1, 4, 4, 0, 3, 2, 0, 2, 1, 2, 0, 3, 3, 2, 2, 4, 2, 4, 3, 3, 2, 2, 1, 1, 4, 3, 1, 0, 0, 1, 2, 0, 2, 4, 3, 3, 4, 0, 3, 2, 4, 4, 0, 3, 4, 4, 2, 1, 1, 1, 0, 1, 0, 4, 0, 1, 0, 1, 2, 2, 2, 1, 4, 0, 0, 2, 3, 2, 2, 1, 4, 4, 2, 2, 4, 3, 2, 1, 0, 1, 2, 4, 2, 1, 1, 3, 1, 4, 2, 0, 2, 2, 1, 1, 3, 0, 1, 4, 3, 2, 2, 3, 4, 3, 1, 1, 3, 2, 4, 4, 2, 3, 1, 4, 3, 4, 4, 3, 2, 4, 1, 4, 2, 3, 1, 3, 4, 2, 2, 3, 4, 3, 0, 3, 4, 2, 2, 3, 3, 4, 0, 2, 3, 2, 2, 3, 1, 0, 1, 0, 3, 1, 1, 1, 1, 3, 1, 2, 3, 0, 2, 4, 0, 2, 3, 3, 2, 1, 1, 4, 4, 0, 4, 1, 2, 4, 4, 3, 3, 2, 2, 1, 4, 0, 3, 3, 1, 1, 2, 0, 2, 3, 3, 4, 1, 1, 0, 1, 4, 4, 4, 1, 0, 4, 1, 1, 0, 3, 1, 1, 3, 2, 0, 1, 2, 2, 1, 0, 3, 1, 1, 3, 2, 2, 4, 4, 0, 1, 2, 2, 1, 2, 2, 0, 4, 3, 1, 2, 2, 1, 2, 3, 4, 4, 4, 3, 1, 3, 3, 0, 0, 2, 4, 0, 2, 0, 4, 4, 0, 4, 3, 3, 3, 0, 2, 2, 1, 1, 2, 1, 3, 3, 0, 0, 4, 4, 3, 1, 2, 1, 3, 4, 3, 3, 1, 3, 2, 0, 3, 3, 2, 4, 4, 4, 0, 0, 2, 4, 1, 3, 3, 2, 2, 4, 0, 0, 3, 0, 3, 2, 2, 4, 2, 0, 0, 1, 2, 4, 1, 3, 3, 0, 2, 4, 4, 1, 0, 2, 3, 4, 2, 0, 0, 4, 1, 2, 3, 1, 1, 2, 1, 0, 0, 2, 0, 1, 3, 0, 4, 3, 0, 4, 2, 0, 0, 1, 3, 1, 1, 3, 3, 3, 0, 2, 1, 3, 1, 0, 2, 1, 0, 2, 3, 4, 3, 2, 3, 0, 2, 4, 4, 2, 3, 3, 4, 0, 0, 3, 3, 0, 0, 3, 1, 2] pubkeycol1287 = [3, 3, 0, 1, 2, 3, 0, 0, 4, 0, 3, 3, 3, 0, 4, 0, 1, 2, 2, 2, 3, 3, 3, 0, 3, 3, 1, 0, 3, 1, 3, 0, 1, 2, 1, 2, 3, 4, 1, 0, 4, 1, 0, 1, 4, 2, 4, 1, 2, 2, 3, 3, 4, 0, 0, 3, 2, 1, 4, 3, 1, 1, 1, 4, 2, 2, 1, 3, 2, 2, 1, 0, 2, 2, 4, 0, 4, 4, 2, 2, 4, 3, 4, 2, 0, 3, 4, 2, 3, 4, 2, 1, 0, 0, 4, 4, 3, 3, 1, 2, 3, 3, 3, 1, 3, 4, 2, 1, 4, 2, 4, 3, 0, 4, 3, 3, 1, 3, 0, 3, 2, 3, 0, 4, 4, 3, 4, 3, 3, 0, 0, 2, 1, 4, 2, 2, 0, 1, 0, 0, 3, 2, 0, 1, 3, 1, 0, 3, 2, 0, 3, 4, 4, 4, 0, 2, 4, 1, 2, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 1, 3, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 3, 4, 2, 3, 0, 0, 4, 2, 0, 3, 3, 0, 1, 3, 0, 2, 2, 3, 4, 3, 2, 4, 3, 1, 0, 3, 1, 2, 0, 2, 3, 1, 0, 3, 3, 3, 0, 1, 0, 4, 3, 3, 3, 3, 1, 2, 2, 3, 3, 4, 4, 2, 2, 4, 4, 1, 1, 3, 0, 4, 4, 3, 2, 4, 1, 3, 1, 4, 4, 4, 0, 3, 0, 4, 4, 2, 0, 1, 4, 3, 3, 3, 1, 3, 1, 1, 0, 3, 1, 3, 3, 2, 1, 2, 3, 1, 1, 2, 4, 4, 1, 1, 0, 4, 2, 2, 0, 4, 1, 0, 1, 0, 0, 1, 0, 1, 4, 0, 0, 0, 2, 3, 4, 4, 2, 2, 2, 2, 3, 2, 1, 3, 3, 3, 2, 1, 0, 1, 1, 0, 3, 1, 1, 4, 3, 2, 2, 1, 2, 3, 0, 3, 3, 4, 4, 2, 4, 3, 0, 1, 1, 3, 0, 2, 0, 3, 2, 2, 2, 0, 1, 2, 0, 2, 2, 4, 2, 4, 1, 0, 1, 0, 2, 2, 0, 0, 4, 1, 3, 0, 4, 1, 1, 2, 2, 4, 4, 3, 3, 4, 0, 1, 1, 0, 3, 0, 1, 0, 4, 3, 3, 4, 4, 2, 1, 3, 3, 2] pubkeycol1288 = [4, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 3, 3, 2, 4, 3, 3, 0, 0, 3, 3, 1, 1, 3, 4, 1, 1, 0, 3, 0, 3, 1, 4, 2, 1, 3, 1, 1, 0, 4, 3, 4, 2, 1, 0, 1, 1, 2, 1, 1, 2, 3, 2, 2, 3, 1, 3, 1, 1, 4, 1, 1, 3, 4, 1, 3, 3, 0, 3, 2, 1, 3, 4, 4, 3, 1, 1, 4, 0, 0, 2, 4, 3, 4, 0, 1, 0, 3, 1, 0, 4, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 4, 1, 1, 4, 3, 0, 0, 0, 1, 1, 1, 3, 2, 2, 1, 0, 4, 1, 1, 1, 4, 2, 4, 0, 1, 4, 3, 3, 3, 4, 4, 2, 0, 3, 2, 3, 1, 4, 3, 1, 3, 0, 2, 0, 0, 3, 0, 1, 4, 0, 1, 4, 0, 2, 4, 4, 4, 2, 3, 4, 0, 3, 3, 2, 0, 4, 3, 2, 3, 2, 0, 4, 3, 3, 1, 4, 0, 4, 4, 3, 2, 3, 0, 3, 3, 4, 1, 0, 2, 1, 3, 3, 0, 0, 4, 1, 2, 0, 4, 3, 4, 3, 4, 0, 2, 1, 0, 3, 0, 3, 1, 0, 2, 4, 0, 0, 2, 4, 0, 4, 2, 3, 1, 3, 2, 4, 3, 2, 2, 0, 0, 1, 0, 4, 4, 2, 1, 3, 1, 4, 1, 2, 3, 3, 0, 0, 2, 3, 3, 2, 2, 0, 3, 3, 4, 3, 0, 0, 1, 3, 2, 0, 4, 1, 3, 2, 3, 1, 1, 3, 1, 4, 1, 0, 2, 4, 1, 4, 3, 4, 2, 1, 1, 4, 4, 0, 3, 1, 2, 0, 2, 0, 3, 0, 0, 4, 3, 1, 4, 3, 2, 1, 0, 2, 4, 1, 4, 3, 1, 1, 2, 4, 2, 2, 0, 2, 2, 0, 1, 3, 2, 1, 4, 2, 1, 0, 4, 0, 3, 1, 4, 1, 1, 4, 1, 3, 3, 0, 4, 1, 1, 2, 3, 4, 1, 0, 4, 1, 0, 2, 2, 0, 4, 1, 1, 1, 3, 0, 0, 2, 1, 0, 0, 4, 0, 4, 2, 0, 3, 4, 3, 2, 1, 3, 2, 3, 0, 3, 2, 4, 3, 3, 1, 1, 1, 3, 0, 1, 2, 3, 0, 4, 4, 1, 1, 2, 3, 1, 4] pubkeycol1289 = [3, 1, 1, 1, 4, 2, 1, 4, 4, 0, 2, 1, 2, 4, 1, 2, 2, 4, 0, 2, 2, 1, 1, 0, 3, 3, 0, 2, 1, 3, 3, 4, 0, 4, 1, 1, 4, 3, 1, 4, 3, 1, 2, 4, 4, 3, 4, 0, 0, 1, 3, 3, 1, 0, 1, 2, 0, 4, 1, 4, 1, 0, 4, 3, 1, 4, 0, 0, 0, 1, 4, 4, 0, 3, 0, 3, 4, 2, 4, 2, 3, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 4, 0, 4, 2, 0, 2, 1, 4, 1, 1, 3, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 3, 4, 0, 1, 1, 2, 3, 1, 3, 2, 2, 1, 4, 1, 1, 2, 4, 1, 1, 0, 0, 1, 0, 3, 3, 4, 3, 4, 1, 0, 4, 3, 0, 3, 0, 0, 4, 1, 0, 3, 2, 2, 4, 2, 3, 4, 0, 0, 3, 4, 2, 0, 0, 0, 3, 2, 2, 1, 2, 2, 4, 0, 4, 4, 0, 4, 2, 4, 1, 3, 3, 3, 3, 1, 1, 2, 2, 0, 2, 2, 3, 0, 2, 0, 1, 0, 4, 3, 2, 4, 4, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 0, 4, 0, 1, 4, 3, 2, 1, 0, 2, 4, 0, 1, 4, 4, 1, 1, 2, 2, 4, 1, 0, 1, 0, 4, 3, 3, 3, 2, 4, 4, 4, 4, 3, 4, 0, 3, 1, 3, 4, 3, 4, 2, 3, 1, 1, 1, 2, 3, 4, 4, 0, 0, 1, 0, 1, 3, 3, 2, 0, 4, 1, 3, 3, 4, 2, 4, 3, 3, 4, 1, 3, 3, 0, 0, 2, 1, 2, 2, 3, 4, 4, 4, 3, 2, 2, 3, 2, 2, 2, 3, 0, 1, 2, 3, 0, 2, 0, 1, 1, 2, 0, 4, 3, 0, 2, 2, 4, 0, 4, 3, 1, 3, 4, 3, 3, 2, 1, 0, 2, 3, 1, 4, 4, 0, 4, 2, 0, 2, 0, 1, 1, 0, 3, 4, 4, 3, 4, 1, 0, 1, 3, 2, 0, 1, 4, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 1, 3, 1, 2, 3, 4, 4, 1, 3, 3, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 3, 1, 0, 4, 3] pubkeycol1290 = [4, 4, 2, 0, 2, 3, 2, 4, 1, 0, 1, 4, 3, 2, 4, 0, 2, 3, 3, 1, 1, 2, 3, 0, 4, 2, 2, 4, 3, 0, 3, 2, 0, 1, 3, 1, 3, 4, 4, 3, 3, 0, 2, 2, 1, 1, 2, 4, 1, 2, 1, 3, 3, 2, 2, 1, 2, 2, 1, 4, 3, 0, 4, 3, 4, 2, 2, 3, 2, 3, 2, 0, 4, 3, 0, 2, 3, 1, 4, 0, 2, 1, 1, 2, 3, 0, 2, 1, 1, 1, 0, 4, 3, 2, 4, 0, 1, 3, 0, 3, 2, 3, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 3, 2, 2, 2, 1, 1, 0, 0, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 4, 3, 4, 4, 1, 4, 0, 4, 0, 2, 4, 3, 2, 3, 1, 3, 1, 1, 0, 2, 3, 1, 2, 3, 1, 1, 2, 4, 3, 2, 4, 4, 1, 3, 1, 2, 3, 1, 4, 3, 4, 2, 0, 4, 3, 0, 4, 3, 1, 0, 3, 3, 1, 2, 3, 3, 4, 2, 2, 1, 2, 4, 2, 4, 1, 0, 0, 1, 0, 0, 0, 1, 0, 4, 1, 3, 3, 1, 4, 4, 0, 1, 3, 2, 1, 4, 3, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 4, 4, 4, 4, 4, 1, 3, 2, 2, 3, 2, 0, 1, 2, 2, 2, 0, 2, 4, 3, 1, 0, 3, 4, 3, 2, 0, 3, 0, 2, 0, 4, 1, 3, 4, 3, 2, 4, 1, 0, 2, 2, 3, 1, 1, 2, 1, 4, 3, 4, 1, 2, 3, 3, 1, 3, 2, 1, 2, 2, 1, 1, 2, 3, 0, 3, 0, 0, 2, 4, 4, 4, 1, 3, 0, 1, 0, 0, 3, 4, 4, 1, 1, 2, 1, 4, 1, 1, 4, 0, 2, 3, 2, 0, 2, 3, 3, 4, 1, 4, 0, 2, 4, 0, 3, 3, 1, 1, 2, 3, 4, 0, 4, 4, 4, 3, 1, 3, 4, 3, 1, 0, 1, 0, 4, 2, 4, 4, 1, 4, 4, 2, 0, 2, 2, 1, 1, 2, 2, 4, 0, 0, 0, 1, 3, 0, 2, 1, 0, 0, 1, 3, 0, 2, 1] pubkeycol1291 = [0, 0, 0, 3, 3, 2, 1, 3, 2, 0, 3, 0, 3, 4, 2, 2, 2, 3, 0, 2, 2, 3, 4, 1, 2, 4, 3, 3, 1, 3, 1, 1, 1, 0, 1, 1, 3, 3, 3, 0, 3, 3, 1, 3, 1, 1, 2, 3, 4, 4, 3, 4, 1, 0, 1, 0, 4, 2, 4, 3, 2, 2, 3, 4, 1, 0, 0, 1, 4, 2, 2, 0, 2, 1, 3, 2, 3, 4, 3, 2, 2, 4, 4, 4, 0, 3, 0, 1, 2, 4, 0, 1, 2, 0, 0, 0, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 0, 4, 0, 3, 2, 1, 1, 1, 2, 3, 3, 2, 3, 2, 4, 4, 4, 0, 2, 2, 4, 3, 4, 3, 2, 3, 4, 2, 2, 0, 1, 3, 3, 1, 3, 0, 0, 1, 2, 2, 0, 4, 4, 0, 4, 4, 1, 4, 0, 1, 2, 4, 3, 0, 3, 1, 1, 3, 4, 3, 1, 3, 4, 1, 0, 4, 4, 4, 0, 3, 4, 1, 2, 1, 2, 0, 0, 4, 3, 4, 2, 3, 0, 2, 3, 0, 3, 4, 3, 4, 2, 1, 3, 1, 4, 3, 1, 2, 2, 0, 4, 1, 1, 1, 3, 2, 1, 2, 2, 1, 4, 3, 1, 4, 3, 2, 0, 0, 0, 2, 4, 0, 0, 4, 4, 2, 0, 4, 3, 1, 0, 1, 4, 4, 4, 2, 2, 3, 4, 3, 3, 0, 4, 3, 4, 2, 1, 1, 2, 0, 4, 1, 2, 2, 3, 0, 0, 3, 4, 2, 1, 0, 4, 4, 0, 4, 3, 2, 0, 2, 4, 3, 4, 2, 2, 2, 4, 1, 3, 4, 2, 3, 0, 1, 2, 0, 4, 0, 1, 3, 2, 1, 4, 4, 0, 2, 1, 2, 4, 1, 1, 1, 3, 1, 4, 1, 1, 1, 4, 2, 1, 3, 1, 1, 0, 4, 0, 1, 1, 0, 0, 4, 4, 1, 1, 1, 2, 3, 2, 3, 4, 3, 3, 1, 2, 2, 4, 4, 1, 3, 4, 2, 4, 2, 3, 3, 2, 0, 1, 2, 3, 1, 0, 3, 2, 2, 2, 3, 0, 3, 2, 4, 4, 1, 3, 2, 1, 0, 2, 0, 1, 1, 4, 3, 0, 2, 3, 4, 0, 4, 4, 0, 4, 4, 1, 3, 1, 4, 3, 1] pubkeycol1292 = [0, 1, 0, 3, 2, 0, 0, 0, 4, 1, 0, 3, 4, 1, 0, 3, 2, 3, 2, 3, 4, 4, 0, 1, 4, 1, 3, 3, 3, 3, 0, 1, 1, 0, 0, 0, 3, 0, 0, 2, 2, 4, 4, 4, 2, 1, 2, 3, 2, 2, 4, 0, 2, 2, 1, 4, 4, 2, 2, 3, 0, 0, 0, 2, 4, 2, 0, 1, 4, 2, 3, 1, 2, 1, 0, 0, 0, 1, 3, 2, 4, 0, 2, 0, 0, 4, 4, 2, 4, 3, 2, 3, 1, 1, 1, 1, 2, 1, 3, 3, 4, 1, 4, 4, 4, 1, 0, 3, 3, 0, 4, 0, 4, 3, 1, 4, 1, 4, 0, 3, 0, 0, 0, 4, 1, 0, 1, 2, 0, 2, 3, 2, 1, 4, 0, 0, 0, 0, 4, 2, 2, 4, 2, 1, 1, 2, 1, 3, 4, 3, 2, 2, 3, 3, 3, 4, 3, 1, 2, 1, 0, 1, 2, 3, 4, 1, 2, 2, 1, 1, 4, 1, 2, 0, 0, 2, 4, 0, 1, 1, 1, 1, 0, 4, 0, 4, 1, 4, 3, 4, 4, 2, 3, 1, 3, 2, 3, 0, 2, 4, 1, 0, 3, 4, 0, 0, 3, 1, 2, 1, 2, 2, 3, 1, 3, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 4, 1, 1, 1, 3, 1, 3, 0, 4, 4, 4, 0, 4, 4, 4, 1, 4, 0, 1, 3, 1, 3, 4, 4, 0, 2, 1, 3, 3, 4, 3, 0, 0, 1, 1, 3, 3, 0, 3, 4, 3, 3, 4, 4, 0, 1, 3, 2, 4, 0, 1, 2, 1, 3, 4, 2, 3, 4, 2, 1, 2, 0, 3, 1, 0, 2, 3, 2, 0, 3, 0, 2, 1, 1, 4, 0, 0, 1, 2, 0, 1, 1, 0, 0, 4, 2, 1, 3, 4, 0, 3, 1, 4, 2, 4, 4, 4, 3, 3, 1, 3, 3, 2, 4, 2, 1, 1, 4, 0, 1, 1, 3, 3, 1, 4, 2, 4, 3, 0, 1, 2, 4, 4, 2, 1, 0, 4, 3, 1, 3, 3, 2, 1, 0, 2, 3, 1, 2, 4, 0, 0, 3, 4, 2, 0, 2, 1, 1, 1, 0, 4, 2, 4, 4, 3, 3, 0, 1, 3, 2, 1, 3, 2, 3, 0, 3, 3, 2, 3, 4, 3, 4, 0, 4] pubkeycol1293 = [1, 3, 2, 0, 3, 4, 3, 3, 4, 3, 4, 0, 3, 4, 1, 2, 2, 0, 4, 4, 4, 3, 2, 0, 1, 0, 1, 2, 3, 2, 0, 3, 1, 4, 2, 4, 4, 1, 0, 0, 2, 4, 2, 3, 4, 3, 1, 4, 2, 3, 4, 1, 4, 3, 3, 1, 2, 1, 2, 4, 0, 3, 4, 0, 0, 4, 0, 3, 1, 2, 0, 4, 1, 0, 1, 1, 4, 1, 3, 3, 1, 3, 1, 0, 4, 2, 4, 1, 0, 4, 3, 1, 3, 2, 4, 3, 1, 0, 1, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 1, 4, 1, 4, 3, 0, 3, 4, 2, 1, 3, 4, 3, 2, 1, 3, 0, 0, 2, 0, 1, 3, 0, 3, 3, 1, 4, 4, 2, 3, 2, 0, 1, 4, 2, 4, 2, 0, 2, 0, 3, 0, 4, 1, 2, 1, 0, 2, 4, 4, 1, 0, 0, 2, 0, 1, 1, 4, 2, 3, 0, 0, 2, 2, 1, 3, 0, 2, 3, 3, 0, 0, 4, 3, 1, 1, 4, 0, 0, 3, 0, 1, 0, 4, 1, 2, 1, 3, 4, 1, 2, 0, 0, 1, 1, 1, 2, 3, 2, 3, 2, 3, 0, 0, 2, 2, 0, 0, 0, 3, 3, 4, 2, 4, 0, 3, 2, 4, 0, 4, 3, 0, 3, 0, 4, 2, 2, 0, 3, 3, 3, 1, 4, 3, 4, 0, 2, 1, 1, 4, 4, 1, 1, 2, 4, 0, 4, 0, 4, 2, 2, 4, 1, 2, 0, 3, 0, 4, 1, 1, 3, 4, 0, 3, 4, 0, 2, 1, 3, 4, 4, 0, 4, 3, 2, 1, 3, 1, 0, 4, 1, 1, 4, 1, 1, 1, 3, 0, 2, 4, 3, 4, 4, 0, 3, 3, 2, 4, 0, 0, 1, 3, 1, 4, 4, 4, 4, 3, 1, 4, 2, 2, 2, 1, 0, 1, 2, 2, 2, 3, 2, 4, 3, 4, 1, 1, 4, 2, 1, 3, 3, 1, 3, 1, 1, 2, 0, 0, 3, 0, 2, 4, 4, 1, 3, 1, 2, 1, 0, 2, 3, 1, 4, 2, 2, 2, 0, 4, 4, 3, 3, 1, 0, 1, 2, 2, 0, 4, 0, 4, 1, 0, 4, 0, 4, 4, 2, 4, 0, 2, 2, 1, 4, 3, 3, 4, 2, 0, 4, 0, 1] pubkeycol1294 = [4, 1, 0, 4, 4, 2, 2, 2, 1, 1, 3, 2, 3, 2, 4, 3, 2, 2, 4, 2, 0, 0, 1, 0, 3, 2, 3, 3, 3, 0, 1, 1, 1, 3, 0, 0, 2, 4, 3, 4, 0, 4, 2, 1, 4, 2, 0, 0, 0, 3, 0, 4, 2, 4, 3, 1, 4, 0, 3, 4, 1, 3, 4, 3, 2, 4, 0, 3, 4, 4, 1, 1, 3, 2, 3, 4, 4, 3, 4, 4, 0, 0, 4, 4, 3, 1, 1, 3, 3, 0, 3, 3, 1, 1, 0, 0, 3, 4, 0, 3, 4, 0, 2, 3, 1, 0, 4, 1, 2, 2, 2, 0, 3, 2, 4, 4, 2, 3, 0, 1, 0, 1, 2, 1, 4, 1, 0, 3, 4, 2, 0, 2, 0, 4, 4, 3, 3, 4, 0, 4, 2, 2, 4, 1, 3, 1, 2, 0, 2, 2, 2, 1, 4, 0, 3, 4, 4, 2, 4, 2, 4, 3, 1, 3, 4, 2, 0, 4, 3, 0, 2, 3, 2, 1, 2, 4, 0, 3, 0, 3, 4, 1, 2, 0, 0, 2, 1, 3, 4, 4, 3, 0, 2, 3, 4, 0, 3, 0, 2, 0, 0, 2, 1, 1, 4, 2, 3, 2, 3, 1, 4, 2, 4, 2, 1, 3, 3, 3, 1, 4, 2, 3, 3, 3, 3, 0, 2, 4, 0, 2, 4, 0, 4, 4, 1, 1, 1, 4, 3, 1, 4, 2, 4, 4, 3, 0, 1, 0, 4, 0, 4, 4, 3, 4, 4, 4, 4, 2, 0, 4, 2, 1, 0, 3, 3, 1, 3, 3, 1, 3, 0, 0, 2, 4, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 3, 2, 4, 2, 2, 4, 3, 1, 2, 4, 1, 2, 2, 4, 1, 2, 1, 3, 1, 3, 2, 3, 3, 1, 1, 0, 4, 3, 2, 0, 3, 4, 2, 4, 2, 3, 3, 0, 1, 4, 0, 4, 4, 2, 2, 0, 2, 3, 0, 0, 3, 2, 1, 0, 3, 1, 4, 0, 3, 1, 1, 1, 3, 0, 1, 3, 0, 2, 3, 1, 3, 3, 3, 1, 4, 4, 3, 2, 4, 2, 4, 2, 0, 4, 4, 4, 1, 0, 1, 1, 4, 4, 2, 4, 0, 0, 3, 3, 3, 4, 4, 2, 3, 3, 0, 4, 3, 0, 2, 2, 3, 3, 4, 2, 3, 4] pubkeycol1295 = [3, 0, 1, 3, 2, 3, 0, 3, 3, 2, 2, 4, 2, 1, 4, 4, 2, 2, 2, 4, 2, 2, 2, 3, 0, 0, 1, 2, 2, 3, 0, 1, 2, 1, 3, 2, 4, 4, 0, 0, 4, 1, 4, 1, 3, 1, 1, 2, 4, 2, 2, 3, 2, 0, 2, 4, 0, 3, 2, 1, 3, 1, 0, 4, 2, 3, 3, 2, 1, 0, 4, 4, 0, 0, 0, 1, 0, 4, 0, 3, 1, 2, 2, 1, 2, 2, 4, 3, 2, 0, 0, 1, 4, 0, 2, 2, 4, 4, 3, 1, 1, 3, 2, 2, 1, 1, 1, 4, 1, 1, 4, 0, 0, 0, 3, 0, 1, 4, 0, 0, 4, 0, 3, 4, 4, 3, 4, 0, 3, 0, 4, 3, 3, 0, 3, 4, 1, 3, 0, 2, 2, 2, 4, 2, 1, 4, 0, 1, 1, 2, 2, 3, 4, 1, 1, 3, 4, 2, 3, 3, 1, 3, 1, 3, 2, 3, 3, 4, 1, 2, 0, 1, 0, 2, 1, 4, 2, 4, 2, 4, 0, 1, 2, 4, 2, 2, 1, 0, 0, 3, 3, 3, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 4, 2, 0, 1, 2, 2, 2, 2, 3, 4, 0, 0, 4, 4, 1, 4, 3, 3, 3, 4, 2, 0, 1, 4, 1, 3, 4, 4, 4, 4, 1, 4, 4, 4, 4, 2, 3, 2, 3, 1, 4, 1, 4, 1, 3, 2, 1, 2, 1, 0, 1, 4, 3, 1, 2, 0, 4, 4, 3, 1, 0, 1, 3, 0, 0, 4, 1, 1, 0, 0, 0, 3, 2, 3, 4, 3, 3, 4, 2, 2, 4, 1, 4, 1, 0, 1, 4, 0, 0, 3, 3, 0, 1, 1, 3, 0, 1, 0, 4, 0, 4, 2, 4, 0, 0, 1, 0, 2, 1, 3, 0, 0, 3, 1, 4, 3, 1, 4, 4, 4, 3, 4, 0, 3, 3, 1, 3, 3, 3, 4, 2, 1, 0, 1, 0, 4, 2, 4, 1, 0, 3, 0, 3, 2, 4, 4, 3, 0, 4, 3, 3, 1, 1, 3, 4, 4, 2, 0, 0, 2, 0, 3, 0, 2, 1, 2, 2, 0, 4, 2, 4, 3, 4, 4, 4, 4, 0, 4, 0, 2, 0, 1, 4, 2, 1, 2, 0, 4, 2, 2, 3, 4, 1, 0] pubkeycol1296 = [1, 3, 3, 2, 1, 2, 0, 2, 1, 0, 2, 3, 1, 4, 0, 4, 2, 0, 1, 2, 0, 3, 0, 2, 3, 2, 4, 1, 2, 3, 2, 3, 3, 3, 3, 0, 3, 1, 0, 3, 1, 1, 0, 2, 4, 2, 2, 4, 4, 1, 3, 1, 4, 1, 3, 0, 2, 3, 0, 3, 2, 3, 3, 2, 4, 3, 1, 0, 2, 1, 0, 0, 4, 1, 0, 3, 0, 4, 2, 2, 1, 4, 3, 0, 1, 0, 4, 2, 0, 0, 3, 2, 4, 0, 1, 0, 3, 3, 2, 4, 0, 0, 2, 1, 1, 3, 3, 3, 4, 1, 3, 1, 2, 0, 2, 2, 3, 2, 4, 3, 0, 3, 1, 4, 0, 3, 1, 1, 2, 0, 0, 2, 4, 3, 4, 0, 0, 3, 4, 4, 3, 1, 2, 0, 1, 1, 1, 4, 3, 1, 2, 2, 4, 1, 0, 1, 1, 2, 0, 4, 4, 2, 1, 3, 3, 2, 2, 2, 1, 3, 4, 1, 1, 0, 1, 3, 0, 2, 1, 4, 4, 0, 3, 3, 0, 4, 2, 2, 1, 1, 2, 1, 2, 4, 0, 2, 1, 3, 4, 4, 0, 4, 4, 1, 2, 0, 3, 2, 0, 1, 0, 0, 2, 3, 1, 4, 1, 3, 3, 3, 0, 2, 0, 1, 1, 0, 4, 0, 0, 1, 1, 4, 3, 4, 2, 0, 0, 0, 1, 2, 2, 4, 3, 0, 2, 2, 2, 1, 3, 0, 4, 3, 1, 3, 1, 4, 3, 3, 1, 2, 0, 0, 2, 3, 0, 0, 3, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 3, 3, 1, 2, 4, 0, 3, 2, 4, 3, 4, 3, 0, 2, 1, 4, 4, 3, 4, 3, 1, 2, 4, 1, 4, 1, 2, 4, 4, 1, 0, 4, 3, 1, 0, 1, 1, 3, 2, 0, 1, 0, 1, 1, 4, 4, 1, 2, 0, 4, 2, 3, 0, 0, 3, 1, 1, 2, 0, 4, 1, 2, 3, 2, 4, 1, 2, 2, 1, 2, 3, 0, 3, 4, 4, 1, 0, 1, 2, 1, 1, 4, 0, 0, 0, 3, 2, 3, 0, 4, 4, 2, 0, 2, 3, 3, 4, 1, 0, 1, 0, 3, 4, 4, 3, 1, 1, 0, 4, 0, 2, 4, 0, 1, 1, 3, 2, 0, 0, 1, 3, 2] pubkeycol1297 = [1, 4, 0, 2, 4, 2, 3, 3, 2, 0, 1, 1, 0, 1, 0, 4, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 3, 3, 4, 3, 3, 0, 3, 2, 3, 0, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 0, 3, 2, 2, 1, 3, 1, 3, 2, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 1, 4, 1, 3, 2, 4, 4, 2, 0, 2, 0, 2, 2, 1, 4, 0, 0, 3, 4, 4, 2, 2, 1, 4, 3, 3, 0, 1, 2, 2, 4, 2, 3, 3, 4, 0, 2, 1, 0, 3, 1, 3, 4, 1, 3, 1, 1, 0, 2, 0, 1, 1, 4, 1, 2, 2, 2, 4, 1, 0, 1, 2, 4, 2, 0, 1, 3, 4, 1, 2, 2, 0, 0, 0, 4, 1, 1, 0, 2, 1, 3, 2, 4, 4, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 4, 1, 0, 0, 4, 2, 0, 1, 0, 2, 4, 1, 2, 1, 4, 3, 0, 4, 3, 3, 2, 3, 2, 0, 3, 1, 1, 3, 1, 1, 4, 1, 4, 3, 1, 0, 4, 2, 0, 2, 0, 0, 0, 3, 4, 2, 4, 0, 0, 1, 1, 0, 0, 2, 1, 4, 4, 2, 3, 1, 2, 3, 3, 2, 1, 1, 0, 3, 4, 0, 0, 2, 4, 3, 1, 4, 1, 1, 3, 0, 4, 0, 3, 1, 3, 1, 3, 3, 2, 3, 0, 1, 1, 2, 1, 1, 2, 3, 3, 0, 4, 3, 4, 3, 0, 0, 4, 3, 2, 3, 1, 0, 1, 2, 2, 4, 2, 1, 2, 3, 4, 4, 0, 3, 0, 1, 4, 0, 4, 3, 3, 2, 4, 3, 0, 0, 3, 4, 4, 1, 0, 3, 3, 3, 0, 1, 2, 4, 0, 3, 3, 2, 1, 3, 2, 4, 3, 2, 3, 1, 4, 4, 1, 0, 1, 3, 0, 3, 2, 0, 2, 1, 1, 0, 4, 1, 3, 4, 3, 0, 1, 2, 2, 1, 3, 0, 0, 0, 3, 0, 0, 0, 4, 1, 2, 1, 1, 0, 0, 4, 3, 4, 1, 2, 1, 0, 1, 2, 2, 3, 1, 2, 0, 4, 4, 2, 4, 3, 4, 3, 0, 4, 4, 2, 3, 3, 4, 1, 3, 2, 3, 1, 0, 2] pubkeycol1298 = [1, 0, 4, 3, 3, 0, 2, 2, 3, 0, 1, 3, 0, 4, 1, 3, 3, 2, 0, 1, 2, 4, 4, 0, 4, 3, 4, 0, 1, 3, 1, 3, 1, 0, 1, 4, 1, 3, 3, 0, 1, 2, 1, 1, 0, 1, 2, 4, 0, 1, 4, 3, 4, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 4, 2, 2, 3, 3, 2, 4, 3, 2, 1, 2, 2, 0, 4, 1, 1, 4, 3, 2, 1, 2, 2, 2, 4, 3, 4, 3, 2, 2, 2, 2, 3, 0, 3, 1, 2, 2, 3, 0, 3, 4, 0, 2, 2, 1, 4, 0, 0, 1, 3, 2, 4, 4, 2, 0, 0, 1, 1, 0, 0, 1, 4, 4, 1, 0, 3, 2, 3, 1, 4, 0, 2, 4, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 0, 2, 1, 3, 4, 2, 2, 1, 4, 4, 3, 4, 2, 2, 0, 0, 4, 0, 4, 4, 1, 3, 3, 4, 4, 3, 3, 1, 1, 0, 2, 4, 1, 0, 1, 3, 1, 3, 3, 3, 1, 1, 3, 2, 1, 2, 1, 1, 3, 2, 4, 1, 1, 0, 2, 3, 3, 2, 0, 2, 2, 3, 4, 2, 1, 2, 1, 4, 1, 4, 1, 4, 1, 4, 3, 2, 1, 1, 1, 3, 3, 1, 3, 4, 1, 4, 4, 2, 3, 2, 1, 2, 1, 4, 0, 4, 2, 0, 4, 0, 2, 1, 4, 3, 4, 2, 3, 0, 3, 3, 2, 0, 2, 4, 1, 1, 4, 3, 3, 4, 0, 0, 4, 0, 0, 0, 3, 0, 4, 0, 4, 1, 0, 3, 1, 3, 4, 3, 1, 4, 4, 0, 2, 1, 3, 1, 4, 0, 2, 0, 1, 3, 4, 1, 1, 3, 0, 0, 4, 2, 0, 4, 3, 3, 1, 4, 3, 4, 1, 4, 1, 4, 1, 4, 3, 3, 1, 2, 4, 2, 4, 4, 3, 4, 4, 1, 0, 2, 3, 2, 3, 1, 2, 0, 4, 2, 3, 1, 0, 0, 4, 1, 4, 4, 0, 2, 0, 4, 3, 4, 4, 4, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 4, 4, 2, 0, 0, 1, 0, 2, 3, 1, 3, 2, 1, 1, 0, 3, 0, 4, 1, 4, 3, 0, 2, 4, 0, 3, 2, 4] pubkeycol1299 = [2, 2, 0, 1, 4, 0, 3, 4, 3, 2, 2, 2, 0, 3, 3, 2, 0, 3, 0, 4, 2, 3, 4, 2, 3, 0, 3, 1, 1, 2, 4, 2, 0, 4, 3, 2, 4, 1, 4, 3, 4, 4, 2, 1, 2, 3, 1, 2, 0, 2, 3, 1, 4, 1, 0, 4, 2, 0, 1, 0, 4, 4, 0, 4, 2, 1, 3, 0, 1, 2, 4, 0, 0, 0, 4, 4, 3, 3, 1, 1, 4, 0, 1, 3, 2, 3, 4, 3, 1, 4, 1, 2, 4, 4, 3, 0, 2, 0, 1, 0, 2, 0, 0, 4, 4, 0, 1, 3, 3, 4, 0, 1, 3, 1, 2, 3, 3, 2, 3, 2, 4, 1, 1, 3, 0, 1, 2, 2, 2, 1, 3, 1, 1, 0, 3, 4, 4, 4, 0, 2, 1, 4, 1, 0, 4, 1, 1, 4, 1, 2, 4, 4, 1, 0, 4, 4, 1, 2, 1, 1, 4, 2, 3, 1, 2, 0, 0, 0, 2, 4, 4, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 4, 0, 1, 3, 1, 4, 2, 2, 1, 4, 3, 0, 4, 4, 0, 0, 4, 3, 2, 0, 4, 3, 1, 0, 4, 4, 2, 0, 0, 1, 2, 2, 2, 4, 4, 4, 4, 3, 1, 4, 2, 3, 0, 4, 0, 4, 1, 0, 0, 3, 2, 4, 1, 2, 2, 1, 4, 3, 4, 1, 2, 1, 3, 1, 2, 4, 0, 2, 3, 1, 4, 2, 3, 0, 4, 0, 3, 3, 2, 3, 1, 2, 4, 4, 0, 0, 1, 2, 0, 1, 3, 1, 4, 2, 1, 1, 3, 2, 1, 1, 1, 2, 2, 3, 2, 4, 1, 2, 4, 4, 4, 3, 0, 3, 3, 2, 0, 1, 0, 1, 4, 1, 2, 3, 3, 2, 0, 2, 0, 0, 1, 0, 2, 3, 0, 4, 4, 3, 0, 2, 4, 1, 0, 0, 2, 0, 3, 1, 2, 4, 3, 3, 2, 2, 4, 2, 0, 4, 1, 1, 4, 3, 1, 2, 0, 3, 0, 1, 0, 4, 1, 4, 1, 3, 2, 0, 1, 0, 4, 0, 1, 3, 0, 4, 3, 3, 4, 4, 3, 4, 1, 2, 1, 1, 3, 3, 4, 0, 3, 2, 0, 1, 3, 1, 2, 0, 3, 2, 0, 2, 3, 2, 0, 4, 3, 0, 0] pubkeycol1300 = [0, 2, 0, 2, 0, 3, 4, 1, 1, 3, 0, 2, 1, 4, 0, 0, 1, 1, 0, 2, 2, 1, 1, 4, 1, 3, 0, 1, 4, 0, 4, 2, 1, 0, 2, 1, 4, 3, 4, 4, 3, 0, 4, 1, 1, 2, 1, 1, 4, 3, 0, 3, 0, 4, 4, 0, 3, 1, 4, 2, 4, 0, 1, 1, 1, 3, 2, 3, 0, 2, 2, 4, 3, 2, 3, 1, 0, 2, 3, 3, 3, 3, 3, 0, 2, 1, 4, 4, 1, 1, 2, 0, 4, 2, 1, 2, 0, 3, 2, 0, 4, 0, 4, 4, 3, 3, 0, 2, 0, 3, 3, 4, 3, 1, 4, 2, 0, 1, 3, 3, 4, 1, 1, 1, 4, 1, 1, 3, 3, 1, 3, 0, 3, 3, 0, 0, 2, 1, 3, 0, 4, 4, 0, 1, 0, 1, 0, 4, 3, 2, 4, 1, 0, 2, 4, 1, 0, 2, 1, 2, 3, 3, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 4, 1, 3, 3, 0, 2, 3, 3, 3, 3, 0, 3, 2, 2, 1, 2, 1, 2, 3, 1, 3, 4, 1, 2, 2, 0, 1, 3, 1, 4, 1, 0, 2, 4, 1, 2, 2, 0, 2, 1, 3, 2, 1, 4, 3, 3, 4, 2, 4, 4, 3, 1, 4, 2, 3, 0, 1, 4, 0, 4, 3, 2, 4, 1, 2, 3, 1, 4, 1, 4, 1, 0, 2, 4, 2, 4, 3, 1, 2, 4, 4, 3, 0, 3, 0, 3, 4, 4, 3, 3, 2, 4, 3, 1, 3, 0, 0, 4, 1, 3, 3, 0, 3, 2, 1, 1, 4, 0, 3, 0, 3, 4, 3, 2, 4, 0, 1, 3, 2, 3, 1, 4, 4, 4, 2, 0, 4, 0, 4, 4, 1, 3, 4, 1, 0, 4, 0, 0, 3, 3, 1, 4, 3, 2, 2, 3, 4, 1, 3, 4, 4, 4, 1, 2, 3, 1, 0, 1, 4, 2, 3, 4, 1, 2, 2, 3, 4, 2, 4, 4, 2, 3, 1, 4, 2, 2, 1, 1, 4, 1, 0, 3, 3, 1, 0, 3, 0, 2, 4, 1, 4, 2, 2, 0, 2, 3, 3, 4, 2, 4, 1, 1, 4, 3, 0, 1, 3, 1, 4, 4, 3, 4, 3, 3, 0, 2, 3, 3, 0, 1, 3, 1, 3, 2, 2, 3, 4] pubkeycol1301 = [4, 4, 0, 2, 3, 0, 1, 3, 3, 2, 2, 0, 1, 3, 2, 0, 1, 2, 3, 1, 3, 1, 4, 2, 2, 4, 2, 3, 3, 4, 1, 0, 1, 1, 3, 1, 2, 3, 4, 0, 2, 2, 0, 2, 0, 3, 4, 3, 3, 4, 1, 3, 3, 2, 3, 2, 3, 0, 3, 0, 2, 2, 0, 0, 1, 1, 4, 1, 0, 4, 0, 3, 2, 3, 2, 0, 2, 4, 4, 2, 1, 4, 3, 1, 2, 4, 2, 0, 2, 3, 4, 0, 4, 0, 3, 2, 1, 0, 0, 3, 3, 0, 0, 2, 3, 2, 3, 0, 1, 1, 0, 2, 4, 1, 3, 2, 3, 1, 1, 4, 4, 3, 4, 2, 2, 3, 3, 0, 4, 0, 4, 1, 1, 1, 2, 1, 3, 4, 2, 2, 2, 3, 1, 1, 2, 2, 4, 2, 0, 3, 1, 4, 0, 4, 0, 2, 3, 0, 4, 4, 0, 2, 4, 0, 3, 3, 0, 4, 1, 1, 3, 2, 3, 1, 4, 3, 4, 2, 3, 0, 1, 4, 1, 1, 0, 3, 1, 2, 4, 2, 1, 1, 0, 3, 0, 0, 0, 4, 1, 3, 2, 4, 2, 1, 3, 1, 1, 0, 3, 3, 1, 0, 1, 2, 3, 4, 1, 4, 3, 0, 3, 4, 1, 0, 0, 4, 3, 3, 0, 4, 2, 1, 3, 0, 4, 4, 0, 1, 1, 2, 2, 4, 2, 0, 3, 1, 0, 3, 4, 3, 1, 2, 0, 4, 0, 2, 1, 1, 2, 4, 1, 1, 1, 1, 2, 0, 1, 2, 1, 4, 1, 4, 2, 4, 4, 0, 2, 0, 1, 0, 3, 4, 0, 0, 2, 4, 0, 2, 0, 4, 0, 4, 1, 2, 3, 3, 3, 3, 2, 0, 3, 2, 2, 3, 2, 0, 3, 1, 3, 1, 1, 4, 3, 4, 0, 2, 1, 1, 0, 2, 4, 3, 1, 0, 3, 2, 4, 2, 0, 2, 0, 1, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 1, 0, 4, 1, 1, 1, 1, 3, 0, 4, 1, 2, 1, 4, 3, 3, 4, 0, 2, 4, 2, 2, 0, 4, 4, 1, 3, 3, 0, 1, 0, 0, 0, 2, 4, 0, 4, 0, 3, 3, 1, 3, 0, 2, 2, 2, 3, 2, 1, 4, 2, 3, 0, 1, 2, 0, 0, 1] pubkeycol1302 = [1, 4, 4, 1, 0, 0, 4, 2, 4, 0, 0, 4, 0, 4, 2, 1, 3, 3, 0, 3, 0, 2, 0, 0, 1, 4, 1, 3, 1, 0, 2, 3, 0, 1, 2, 4, 1, 0, 2, 0, 0, 4, 2, 1, 0, 0, 2, 0, 0, 4, 3, 2, 1, 3, 2, 2, 0, 4, 2, 2, 2, 2, 3, 3, 3, 4, 1, 1, 1, 1, 1, 2, 0, 4, 1, 4, 2, 4, 3, 3, 2, 0, 1, 2, 2, 2, 4, 3, 3, 4, 0, 2, 0, 4, 3, 1, 1, 4, 3, 0, 1, 4, 3, 0, 0, 4, 4, 4, 0, 1, 3, 4, 3, 2, 1, 4, 2, 2, 4, 0, 0, 0, 1, 3, 3, 4, 0, 0, 1, 3, 3, 1, 2, 0, 1, 1, 2, 3, 0, 4, 3, 4, 4, 2, 2, 2, 4, 0, 4, 0, 3, 1, 0, 0, 2, 0, 0, 3, 4, 0, 1, 4, 1, 2, 1, 3, 2, 3, 1, 0, 3, 2, 3, 4, 4, 4, 1, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 0, 4, 0, 0, 1, 1, 0, 0, 0, 3, 3, 4, 1, 4, 2, 1, 1, 3, 3, 4, 1, 2, 3, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 3, 3, 4, 1, 0, 4, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 4, 0, 1, 0, 2, 3, 1, 2, 4, 0, 1, 0, 2, 0, 2, 4, 1, 3, 2, 1, 4, 3, 2, 3, 2, 1, 2, 1, 0, 1, 0, 0, 1, 4, 4, 1, 1, 0, 2, 2, 2, 3, 3, 1, 0, 2, 3, 1, 3, 0, 1, 2, 2, 0, 1, 3, 0, 0, 1, 0, 0, 3, 4, 2, 0, 3, 3, 3, 3, 1, 1, 3, 3, 3, 2, 2, 2, 1, 2, 1, 1, 4, 1, 0, 4, 3, 0, 2, 2, 0, 0, 2, 1, 2, 1, 3, 2, 1, 0, 2, 2, 0, 2, 4, 4, 0, 1, 1, 4, 0, 2, 1, 1, 3, 1, 1, 1, 3, 0, 4, 3, 1, 3, 1, 0, 2, 3, 3, 0, 3, 1, 4, 2, 2, 1, 4, 4, 1, 3, 4, 3, 1, 2, 0, 1, 1, 0, 3, 1, 2, 4, 4, 1, 4, 4] pubkeycol1303 = [4, 1, 0, 4, 3, 4, 1, 2, 4, 3, 2, 0, 2, 4, 1, 0, 2, 2, 4, 0, 1, 1, 1, 4, 4, 2, 2, 4, 1, 4, 2, 3, 4, 1, 2, 4, 4, 0, 4, 1, 3, 4, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 4, 2, 0, 2, 3, 4, 4, 2, 2, 1, 2, 2, 4, 3, 4, 4, 2, 0, 3, 1, 2, 1, 0, 2, 0, 4, 3, 1, 2, 1, 3, 4, 0, 0, 3, 1, 0, 4, 2, 1, 3, 1, 3, 4, 2, 4, 1, 2, 0, 2, 0, 3, 4, 2, 1, 2, 1, 3, 3, 4, 2, 1, 1, 0, 1, 4, 4, 3, 2, 2, 0, 1, 1, 4, 2, 1, 0, 4, 2, 2, 3, 1, 4, 0, 1, 1, 0, 0, 0, 0, 2, 3, 3, 3, 0, 0, 4, 0, 3, 2, 0, 0, 2, 0, 1, 3, 0, 1, 3, 3, 1, 3, 0, 2, 4, 1, 4, 3, 2, 2, 2, 4, 3, 3, 0, 0, 2, 2, 4, 1, 4, 4, 3, 0, 4, 1, 4, 2, 4, 3, 1, 0, 1, 2, 4, 1, 2, 1, 3, 3, 2, 1, 0, 1, 1, 1, 0, 0, 3, 2, 1, 4, 3, 3, 0, 2, 1, 0, 3, 3, 0, 2, 2, 0, 3, 0, 3, 2, 0, 2, 4, 0, 0, 1, 0, 3, 0, 4, 0, 2, 1, 2, 3, 2, 2, 2, 2, 0, 1, 3, 3, 0, 4, 3, 3, 2, 0, 1, 2, 1, 1, 0, 0, 1, 4, 4, 2, 0, 2, 1, 4, 1, 4, 3, 0, 1, 1, 0, 3, 2, 3, 2, 3, 1, 0, 1, 3, 4, 0, 1, 2, 4, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 2, 4, 4, 1, 3, 2, 2, 4, 0, 3, 1, 1, 4, 3, 3, 4, 2, 3, 0, 2, 1, 1, 3, 2, 3, 2, 1, 3, 2, 1, 2, 3, 2, 2, 4, 1, 1, 4, 3, 2, 0, 4, 2, 4, 1, 1, 0, 2, 0, 2, 3, 4, 0, 0, 3, 0, 1, 0, 1, 3, 2, 1, 0, 4, 3, 0, 1, 3, 4, 1, 4, 3, 0, 1, 1, 1, 3, 0, 2, 2, 3, 0, 4, 2, 4, 1, 1, 4, 0, 2, 1, 3, 2] pubkeycol1304 = [3, 0, 2, 2, 1, 3, 1, 2, 1, 2, 3, 0, 1, 4, 1, 4, 4, 0, 4, 4, 2, 4, 1, 2, 4, 0, 3, 3, 1, 3, 3, 2, 1, 3, 1, 1, 0, 4, 4, 2, 3, 0, 3, 2, 3, 3, 0, 2, 4, 2, 0, 0, 1, 2, 2, 2, 3, 2, 1, 0, 3, 0, 3, 3, 0, 1, 1, 2, 2, 4, 4, 0, 1, 4, 0, 1, 4, 2, 0, 2, 2, 4, 2, 4, 3, 3, 4, 2, 3, 3, 3, 4, 2, 4, 3, 2, 3, 2, 0, 4, 4, 4, 1, 1, 3, 0, 0, 2, 0, 3, 0, 3, 3, 0, 3, 2, 4, 4, 1, 0, 4, 3, 1, 3, 1, 0, 0, 4, 4, 2, 4, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 3, 2, 0, 0, 2, 2, 4, 2, 4, 3, 3, 4, 3, 0, 3, 3, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 4, 3, 2, 2, 3, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 4, 2, 1, 2, 2, 4, 3, 4, 2, 0, 4, 1, 0, 1, 1, 3, 2, 2, 1, 2, 1, 3, 3, 2, 3, 1, 0, 3, 4, 3, 4, 1, 3, 0, 4, 1, 4, 1, 1, 2, 0, 1, 1, 3, 1, 1, 3, 3, 0, 4, 2, 2, 1, 1, 1, 4, 4, 3, 0, 1, 2, 4, 4, 3, 4, 3, 1, 3, 4, 3, 1, 1, 3, 1, 4, 2, 1, 0, 2, 0, 4, 2, 3, 0, 3, 0, 0, 3, 3, 4, 4, 2, 2, 2, 3, 4, 3, 0, 1, 2, 4, 1, 1, 2, 3, 4, 2, 4, 0, 2, 0, 0, 0, 3, 2, 2, 4, 3, 3, 3, 3, 0, 2, 2, 2, 3, 4, 0, 3, 3, 3, 0, 1, 0, 1, 2, 4, 1, 4, 2, 1, 0, 4, 2, 0, 1, 1, 0, 4, 4, 4, 2, 0, 2, 3, 2, 3, 0, 3, 2, 3, 2, 3, 1, 4, 3, 3, 1, 2, 4, 0, 0, 0, 0, 2, 0, 1, 0, 4, 0, 0, 2, 1, 1, 1, 0, 1, 1, 4, 1, 2, 2, 0, 0, 3, 2, 0, 1, 4, 3, 1, 0, 2, 0, 0, 0, 4, 0, 3, 2, 0] pubkeycol1305 = [4, 2, 2, 0, 4, 4, 1, 3, 0, 2, 1, 0, 3, 4, 2, 1, 0, 1, 4, 1, 0, 1, 4, 2, 3, 4, 3, 1, 3, 1, 1, 2, 3, 1, 0, 1, 3, 4, 4, 1, 4, 1, 1, 2, 1, 0, 2, 3, 3, 1, 2, 4, 0, 1, 4, 2, 3, 0, 3, 1, 0, 0, 2, 4, 3, 2, 0, 4, 4, 0, 3, 4, 0, 2, 4, 2, 2, 3, 1, 4, 3, 1, 4, 0, 2, 2, 1, 3, 1, 2, 0, 4, 3, 4, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 4, 2, 0, 2, 0, 0, 2, 0, 1, 3, 1, 3, 3, 0, 2, 0, 2, 1, 3, 3, 1, 0, 3, 4, 3, 2, 3, 1, 1, 0, 4, 3, 1, 1, 3, 1, 3, 0, 0, 4, 2, 2, 2, 2, 0, 0, 3, 2, 0, 4, 1, 3, 1, 0, 2, 3, 3, 4, 4, 0, 3, 1, 2, 4, 2, 1, 4, 4, 1, 3, 2, 0, 1, 0, 3, 3, 1, 0, 3, 0, 0, 3, 0, 2, 4, 1, 3, 1, 4, 0, 3, 1, 0, 4, 2, 1, 1, 3, 3, 0, 0, 1, 1, 4, 2, 3, 3, 0, 1, 0, 4, 3, 4, 2, 2, 2, 4, 1, 2, 2, 4, 4, 3, 3, 4, 4, 4, 4, 2, 1, 0, 3, 3, 2, 3, 4, 0, 3, 2, 2, 0, 0, 1, 0, 2, 2, 3, 4, 3, 4, 0, 2, 4, 3, 1, 2, 1, 0, 1, 1, 2, 1, 1, 3, 1, 1, 3, 3, 2, 1, 4, 1, 1, 4, 3, 3, 1, 2, 0, 0, 0, 3, 4, 1, 1, 4, 0, 0, 4, 0, 1, 1, 4, 3, 4, 1, 3, 2, 3, 0, 3, 1, 0, 4, 0, 3, 4, 4, 1, 2, 1, 4, 1, 3, 2, 3, 1, 1, 4, 3, 4, 2, 1, 2, 1, 1, 2, 1, 1, 3, 0, 1, 2, 0, 2, 4, 3, 3, 1, 0, 3, 0, 2, 0, 4, 1, 1, 2, 1, 4, 3, 0, 1, 3, 0, 2, 4, 3, 3, 1, 2, 2, 3, 4, 1, 0, 4, 3, 3, 0, 1, 4, 1, 4, 4, 3, 3, 2, 3, 2, 1, 2, 2, 2, 2, 1, 4, 3, 1, 3, 4, 4, 2, 0, 4] pubkeycol1306 = [2, 1, 0, 0, 2, 0, 2, 4, 0, 3, 0, 4, 4, 2, 2, 2, 3, 0, 1, 4, 1, 2, 2, 3, 1, 4, 0, 2, 4, 3, 4, 3, 4, 4, 4, 4, 1, 4, 2, 4, 4, 2, 4, 3, 0, 4, 1, 3, 0, 1, 4, 4, 0, 1, 0, 0, 4, 3, 4, 2, 3, 2, 1, 0, 3, 0, 0, 1, 3, 2, 4, 2, 1, 4, 3, 0, 2, 4, 3, 1, 4, 3, 2, 4, 4, 3, 2, 1, 1, 0, 4, 1, 0, 3, 0, 2, 0, 1, 3, 4, 2, 1, 4, 2, 2, 4, 1, 2, 2, 1, 2, 4, 3, 2, 0, 4, 0, 1, 0, 3, 3, 4, 0, 4, 2, 3, 0, 3, 1, 3, 3, 3, 4, 2, 3, 1, 3, 1, 2, 1, 4, 1, 2, 4, 0, 3, 2, 1, 4, 2, 0, 3, 1, 3, 4, 0, 2, 1, 3, 4, 0, 0, 0, 2, 3, 0, 1, 4, 3, 4, 2, 4, 3, 2, 3, 3, 1, 3, 3, 2, 4, 4, 3, 1, 0, 0, 2, 4, 0, 3, 2, 2, 2, 4, 3, 2, 3, 0, 4, 0, 4, 1, 2, 2, 2, 4, 0, 1, 3, 4, 4, 4, 4, 4, 3, 0, 2, 0, 3, 4, 4, 4, 3, 4, 1, 0, 2, 3, 0, 1, 1, 4, 1, 4, 2, 2, 1, 0, 4, 1, 3, 4, 2, 2, 3, 1, 1, 0, 0, 4, 1, 2, 2, 2, 3, 4, 2, 4, 0, 0, 3, 1, 2, 3, 1, 0, 0, 3, 0, 3, 3, 1, 4, 2, 3, 3, 2, 4, 0, 4, 0, 0, 3, 2, 1, 2, 1, 4, 1, 4, 3, 0, 2, 0, 3, 2, 4, 1, 3, 4, 2, 1, 4, 4, 4, 2, 0, 4, 0, 3, 0, 4, 4, 1, 2, 4, 3, 2, 0, 4, 0, 0, 3, 3, 3, 1, 0, 0, 3, 4, 3, 0, 3, 4, 2, 1, 3, 0, 1, 4, 0, 2, 3, 0, 1, 0, 1, 1, 4, 2, 4, 4, 3, 1, 0, 2, 1, 3, 1, 4, 4, 1, 0, 3, 3, 4, 1, 0, 3, 2, 2, 1, 1, 2, 4, 4, 4, 2, 3, 4, 2, 2, 4, 4, 2, 0, 2, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 2, 0, 2] pubkeycol1307 = [0, 0, 3, 0, 4, 2, 2, 1, 3, 2, 3, 0, 2, 1, 4, 4, 2, 4, 0, 3, 0, 1, 4, 2, 3, 2, 3, 1, 1, 4, 1, 1, 1, 1, 4, 4, 4, 2, 2, 4, 3, 2, 0, 1, 0, 3, 2, 4, 3, 4, 1, 4, 0, 3, 1, 3, 2, 2, 0, 3, 0, 1, 3, 1, 1, 2, 0, 2, 3, 3, 2, 1, 3, 1, 4, 4, 1, 2, 3, 3, 3, 0, 3, 3, 2, 0, 0, 1, 3, 3, 4, 3, 3, 3, 2, 3, 2, 4, 4, 3, 0, 4, 2, 1, 0, 2, 3, 3, 2, 0, 0, 1, 3, 0, 1, 1, 2, 3, 3, 0, 1, 4, 4, 1, 0, 4, 1, 2, 0, 4, 2, 3, 3, 1, 3, 0, 1, 0, 0, 1, 3, 2, 1, 2, 0, 3, 0, 2, 3, 1, 4, 4, 4, 1, 1, 4, 4, 4, 1, 4, 2, 4, 0, 2, 1, 4, 1, 0, 0, 1, 2, 4, 0, 1, 4, 3, 0, 3, 0, 3, 2, 3, 3, 0, 3, 2, 1, 2, 3, 0, 3, 1, 1, 0, 1, 4, 2, 3, 4, 2, 4, 4, 2, 4, 3, 0, 1, 2, 3, 2, 3, 4, 1, 4, 1, 0, 0, 3, 1, 3, 4, 2, 0, 1, 2, 4, 3, 3, 3, 1, 1, 0, 1, 3, 0, 1, 2, 0, 0, 1, 4, 4, 0, 0, 2, 3, 2, 1, 2, 3, 3, 0, 1, 1, 2, 0, 3, 3, 1, 3, 0, 2, 2, 0, 0, 4, 4, 2, 0, 2, 3, 3, 1, 3, 4, 3, 3, 3, 3, 4, 1, 1, 0, 2, 2, 4, 4, 3, 1, 1, 2, 4, 0, 3, 2, 4, 2, 0, 3, 0, 2, 2, 3, 4, 4, 0, 2, 3, 3, 4, 4, 3, 0, 1, 4, 2, 0, 1, 4, 1, 4, 2, 2, 0, 1, 1, 3, 2, 1, 4, 0, 4, 4, 3, 2, 1, 2, 2, 4, 3, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 3, 1, 2, 1, 1, 4, 2, 3, 3, 3, 2, 4, 0, 1, 0, 2, 0, 2, 2, 4, 3, 2, 4, 4, 3, 2, 2, 3, 0, 0, 3, 0, 2, 0, 0, 1, 1, 2, 0, 3, 0, 0, 1, 3, 3, 1, 2, 2, 0, 1] pubkeycol1308 = [4, 0, 1, 3, 4, 2, 0, 3, 4, 0, 3, 4, 0, 4, 2, 2, 3, 3, 2, 2, 4, 4, 4, 4, 0, 4, 4, 4, 2, 1, 2, 0, 3, 1, 2, 3, 0, 2, 2, 1, 1, 1, 4, 1, 1, 0, 4, 3, 0, 1, 4, 2, 4, 1, 1, 4, 1, 3, 2, 4, 3, 1, 3, 1, 4, 1, 1, 4, 1, 0, 1, 2, 4, 0, 2, 3, 0, 4, 3, 3, 2, 2, 2, 3, 0, 2, 3, 1, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 4, 0, 4, 2, 3, 0, 4, 1, 1, 3, 1, 1, 0, 3, 2, 4, 4, 2, 1, 3, 3, 1, 1, 3, 1, 0, 1, 2, 0, 2, 4, 4, 2, 0, 2, 2, 0, 4, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 3, 4, 2, 2, 2, 0, 0, 0, 3, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 4, 2, 3, 0, 1, 4, 4, 2, 3, 3, 2, 2, 4, 3, 4, 0, 3, 1, 4, 0, 0, 1, 0, 3, 2, 3, 4, 4, 1, 4, 0, 3, 2, 4, 1, 2, 1, 3, 2, 0, 4, 0, 2, 4, 4, 0, 3, 0, 1, 0, 1, 4, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 3, 4, 2, 2, 0, 3, 4, 3, 2, 2, 3, 0, 2, 4, 0, 3, 1, 2, 3, 3, 3, 3, 3, 4, 3, 1, 2, 4, 0, 3, 2, 2, 2, 2, 1, 3, 3, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 3, 1, 4, 2, 0, 1, 3, 2, 1, 4, 2, 0, 0, 3, 0, 2, 0, 3, 2, 3, 1, 1, 4, 4, 1, 0, 0, 0, 0, 3, 2, 2, 1, 0, 1, 2, 4, 3, 4, 1, 3, 2, 1, 1, 3, 0, 1, 0, 4, 3, 3, 1, 2, 2, 3, 0, 3, 1, 1, 3, 0, 1, 1, 0, 1, 2, 3, 3, 2, 2, 3, 4, 1, 3, 3, 0, 3, 3, 1, 0, 0, 2, 0, 3, 2, 1, 4, 4, 4, 0, 3, 1, 0, 0, 3, 1, 2, 4, 3, 4, 4, 2, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 3, 3, 1, 0, 2, 3, 3, 2] pubkeycol1309 = [1, 4, 3, 1, 1, 2, 4, 1, 2, 2, 0, 1, 4, 0, 0, 3, 1, 3, 4, 4, 0, 4, 2, 4, 0, 1, 3, 2, 2, 4, 1, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 4, 1, 2, 4, 3, 0, 0, 0, 3, 0, 3, 2, 4, 2, 2, 2, 0, 2, 3, 1, 4, 4, 3, 3, 4, 0, 0, 3, 1, 2, 1, 1, 1, 3, 4, 4, 3, 0, 1, 1, 0, 3, 2, 1, 0, 2, 3, 0, 0, 1, 4, 4, 3, 4, 0, 4, 2, 0, 0, 1, 0, 3, 0, 1, 2, 0, 3, 4, 2, 4, 1, 1, 4, 1, 3, 4, 4, 4, 0, 0, 2, 4, 0, 2, 3, 3, 2, 2, 3, 0, 4, 4, 2, 0, 0, 3, 2, 2, 2, 4, 1, 2, 2, 4, 4, 1, 2, 4, 0, 2, 4, 2, 4, 2, 3, 2, 3, 4, 1, 0, 3, 0, 3, 3, 1, 4, 3, 2, 3, 0, 2, 1, 0, 4, 0, 3, 4, 3, 2, 1, 4, 4, 1, 3, 2, 0, 1, 2, 0, 3, 3, 1, 3, 1, 4, 3, 4, 0, 4, 1, 1, 2, 2, 3, 1, 3, 2, 4, 3, 0, 0, 0, 3, 1, 0, 4, 2, 3, 4, 1, 4, 2, 0, 3, 4, 3, 3, 2, 4, 4, 0, 0, 1, 1, 3, 1, 1, 2, 3, 4, 2, 4, 2, 1, 4, 4, 0, 3, 3, 2, 3, 4, 0, 3, 1, 0, 3, 3, 2, 0, 2, 2, 0, 2, 0, 2, 3, 3, 3, 1, 3, 0, 0, 1, 0, 1, 0, 4, 0, 3, 4, 3, 3, 4, 0, 3, 0, 1, 0, 3, 1, 2, 4, 0, 4, 0, 3, 2, 2, 3, 2, 1, 1, 1, 3, 4, 0, 4, 1, 3, 3, 1, 2, 4, 2, 0, 0, 4, 4, 3, 0, 0, 0, 0, 2, 4, 1, 1, 2, 2, 2, 1, 3, 2, 4, 2, 0, 3, 0, 4, 2, 0, 3, 3, 3, 1, 1, 0, 3, 4, 3, 4, 0, 1, 0, 1, 0, 2, 0, 3, 0, 1, 0, 4, 2, 3, 3, 4, 3, 4, 3, 3, 3, 0, 3, 1, 0, 3, 1, 1, 3, 0, 1, 2, 0, 0, 1, 3, 2, 4, 0, 1, 2, 2, 2, 4, 2, 3, 3] pubkeycol1310 = [3, 2, 3, 4, 2, 0, 4, 1, 0, 3, 4, 0, 3, 0, 1, 4, 3, 4, 4, 2, 2, 0, 1, 3, 1, 3, 3, 1, 0, 4, 0, 3, 4, 3, 1, 4, 2, 0, 2, 4, 3, 1, 0, 0, 2, 4, 1, 0, 0, 2, 1, 3, 4, 1, 2, 4, 4, 3, 3, 2, 3, 1, 0, 4, 0, 0, 0, 3, 2, 3, 4, 3, 2, 1, 1, 2, 2, 0, 4, 4, 2, 0, 4, 1, 0, 0, 2, 3, 1, 1, 4, 4, 0, 4, 1, 1, 2, 1, 3, 1, 3, 1, 3, 2, 3, 0, 4, 4, 3, 2, 3, 1, 4, 0, 3, 1, 4, 1, 2, 1, 2, 4, 3, 2, 3, 3, 2, 0, 1, 2, 4, 3, 4, 4, 0, 0, 1, 2, 4, 4, 3, 1, 0, 4, 1, 2, 3, 0, 3, 2, 3, 0, 2, 3, 0, 0, 3, 0, 4, 2, 0, 0, 4, 0, 3, 0, 3, 4, 2, 4, 4, 3, 2, 1, 4, 2, 1, 4, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 4, 0, 3, 0, 0, 0, 1, 2, 1, 3, 0, 4, 0, 3, 1, 4, 0, 1, 2, 2, 4, 3, 3, 4, 2, 1, 3, 1, 3, 2, 3, 2, 1, 4, 0, 2, 3, 0, 3, 4, 2, 4, 0, 1, 3, 3, 1, 3, 2, 0, 0, 4, 3, 2, 1, 2, 4, 1, 2, 4, 4, 0, 0, 2, 0, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 0, 3, 1, 0, 2, 4, 3, 0, 2, 2, 2, 0, 1, 3, 2, 4, 0, 3, 3, 3, 3, 1, 1, 1, 4, 0, 1, 4, 3, 1, 3, 2, 3, 3, 4, 3, 0, 4, 4, 2, 1, 1, 3, 2, 1, 1, 1, 3, 0, 0, 1, 0, 4, 2, 3, 4, 2, 0, 0, 4, 0, 4, 2, 0, 3, 1, 1, 3, 4, 0, 2, 4, 0, 4, 2, 0, 2, 2, 0, 1, 1, 2, 4, 2, 4, 4, 3, 0, 1, 1, 1, 1, 3, 4, 3, 3, 4, 3, 4, 0, 0, 4, 4, 4, 4, 1, 4, 2, 4, 0, 3, 0, 3, 0, 2, 1, 4, 1, 1, 0, 4, 0, 1, 0, 3, 3, 2, 0, 4, 2, 3, 3, 4, 2, 3, 3, 3] pubkeycol1311 = [1, 4, 2, 4, 4, 0, 4, 0, 4, 3, 2, 4, 1, 3, 1, 1, 4, 4, 3, 2, 4, 1, 2, 0, 3, 1, 4, 4, 1, 1, 0, 4, 2, 0, 2, 1, 2, 0, 3, 0, 4, 0, 3, 4, 0, 0, 4, 4, 4, 1, 3, 0, 4, 1, 3, 1, 4, 1, 3, 4, 2, 4, 4, 1, 4, 1, 0, 2, 2, 1, 3, 0, 1, 4, 3, 0, 3, 0, 2, 0, 3, 3, 4, 4, 2, 2, 0, 3, 3, 4, 2, 0, 3, 0, 4, 4, 1, 2, 2, 0, 3, 3, 1, 3, 1, 2, 3, 3, 4, 1, 1, 2, 2, 3, 0, 0, 2, 0, 3, 3, 2, 1, 4, 4, 4, 3, 2, 3, 0, 2, 1, 2, 3, 2, 1, 1, 2, 4, 2, 4, 3, 1, 2, 4, 0, 0, 3, 0, 1, 3, 0, 0, 0, 3, 2, 4, 1, 2, 2, 3, 0, 3, 3, 4, 4, 3, 1, 0, 1, 4, 0, 2, 4, 1, 1, 4, 3, 4, 1, 2, 4, 3, 1, 1, 0, 0, 3, 1, 4, 1, 2, 4, 0, 1, 1, 4, 4, 3, 1, 4, 4, 3, 0, 4, 4, 0, 3, 1, 2, 2, 2, 3, 4, 4, 0, 3, 1, 0, 1, 3, 0, 3, 0, 0, 0, 1, 3, 4, 2, 0, 3, 0, 4, 4, 1, 4, 1, 3, 4, 3, 0, 0, 0, 0, 2, 4, 2, 4, 4, 2, 2, 4, 1, 3, 2, 3, 2, 0, 1, 1, 3, 0, 1, 0, 0, 3, 3, 3, 0, 2, 1, 1, 3, 3, 0, 3, 1, 1, 1, 3, 4, 2, 1, 0, 1, 1, 0, 4, 0, 3, 3, 1, 3, 1, 4, 2, 4, 3, 4, 1, 1, 3, 1, 3, 0, 3, 4, 2, 0, 0, 1, 1, 0, 3, 1, 1, 4, 3, 3, 1, 4, 0, 3, 4, 1, 4, 1, 4, 1, 1, 3, 3, 0, 0, 4, 0, 1, 0, 0, 0, 1, 0, 0, 1, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 4, 3, 2, 4, 1, 1, 1, 0, 3, 2, 1, 0, 2, 2, 3, 4, 1, 3, 3, 3, 4, 1, 3, 0, 0, 2, 2, 0, 4, 1, 0, 4, 4, 2, 3, 1, 2, 0, 4, 1, 3, 1, 4] pubkeycol1312 = [3, 1, 1, 4, 3, 3, 1, 0, 1, 3, 1, 4, 0, 2, 3, 0, 2, 0, 1, 4, 1, 3, 3, 3, 4, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 3, 0, 3, 1, 0, 1, 3, 3, 0, 1, 0, 2, 3, 1, 2, 2, 0, 3, 2, 3, 0, 0, 0, 3, 1, 3, 3, 4, 0, 0, 1, 2, 0, 2, 3, 1, 4, 4, 4, 2, 3, 2, 4, 4, 1, 4, 2, 1, 2, 1, 2, 1, 0, 0, 3, 4, 4, 0, 4, 3, 1, 2, 1, 3, 2, 3, 0, 0, 1, 3, 3, 2, 4, 1, 1, 3, 3, 2, 1, 0, 4, 1, 0, 3, 2, 3, 4, 0, 2, 2, 1, 1, 1, 3, 3, 3, 4, 1, 2, 0, 1, 4, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 1, 4, 3, 4, 2, 2, 1, 0, 0, 4, 1, 0, 2, 2, 4, 0, 1, 3, 0, 3, 1, 3, 4, 0, 3, 3, 1, 3, 4, 4, 0, 3, 0, 2, 2, 2, 3, 4, 3, 3, 4, 0, 2, 2, 4, 2, 3, 1, 3, 2, 1, 4, 2, 4, 4, 4, 4, 2, 3, 4, 3, 1, 3, 4, 0, 0, 1, 3, 3, 2, 0, 4, 2, 0, 1, 2, 2, 0, 3, 0, 0, 3, 3, 3, 4, 1, 4, 2, 1, 4, 0, 4, 0, 4, 0, 1, 0, 3, 4, 3, 4, 2, 0, 4, 3, 3, 4, 0, 2, 2, 1, 0, 0, 4, 1, 0, 1, 1, 2, 3, 4, 4, 4, 3, 0, 1, 4, 3, 2, 3, 3, 2, 1, 2, 3, 2, 2, 4, 4, 2, 4, 4, 1, 1, 4, 1, 1, 0, 4, 0, 2, 4, 4, 0, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 2, 4, 3, 1, 2, 0, 3, 3, 3, 4, 3, 4, 4, 0, 3, 0, 3, 0, 2, 0, 4, 2, 0, 4, 2, 1, 4, 1, 1, 2, 0, 1, 1, 2, 4, 4, 4, 4, 4, 4, 2, 4, 1, 0, 1, 3, 0, 0, 1, 2, 1, 2, 1, 1, 0, 4, 2, 3, 0, 2, 2, 2, 2, 2, 3, 3, 2, 0, 3, 0, 1, 2, 0, 4, 4, 4, 3, 4, 1, 4, 1, 4, 2, 0, 4, 1, 3, 0] pubkeycol1313 = [3, 4, 3, 3, 3, 1, 3, 3, 1, 0, 4, 4, 0, 4, 3, 4, 0, 3, 4, 0, 3, 3, 0, 4, 3, 3, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 4, 0, 2, 0, 2, 0, 2, 1, 2, 4, 0, 1, 4, 4, 0, 3, 1, 3, 1, 1, 2, 0, 4, 1, 2, 2, 0, 2, 3, 1, 0, 2, 2, 0, 3, 3, 4, 4, 2, 0, 1, 1, 4, 4, 0, 1, 2, 2, 3, 4, 4, 0, 2, 2, 2, 4, 4, 1, 2, 3, 4, 3, 3, 3, 1, 4, 1, 0, 1, 3, 4, 3, 1, 1, 2, 3, 3, 3, 3, 0, 1, 4, 4, 0, 4, 1, 4, 0, 4, 3, 1, 2, 3, 3, 1, 3, 2, 0, 0, 3, 0, 2, 2, 3, 3, 4, 3, 3, 3, 2, 1, 3, 3, 1, 4, 3, 3, 3, 0, 1, 1, 2, 4, 1, 0, 1, 3, 4, 1, 2, 1, 3, 4, 2, 2, 3, 0, 1, 3, 0, 4, 4, 2, 3, 4, 3, 4, 1, 0, 4, 0, 4, 3, 4, 3, 0, 2, 0, 4, 3, 0, 4, 2, 0, 0, 1, 3, 2, 0, 3, 1, 3, 1, 1, 4, 3, 2, 3, 3, 4, 3, 3, 4, 4, 1, 4, 2, 3, 3, 2, 1, 1, 4, 2, 1, 3, 3, 2, 2, 2, 4, 3, 0, 2, 4, 2, 4, 2, 4, 1, 3, 3, 2, 3, 3, 2, 2, 4, 4, 0, 3, 0, 0, 0, 0, 0, 3, 4, 0, 2, 3, 2, 0, 4, 0, 3, 4, 4, 0, 2, 1, 3, 4, 2, 4, 4, 2, 1, 3, 1, 1, 1, 2, 3, 1, 0, 3, 4, 4, 4, 0, 1, 0, 4, 3, 3, 4, 1, 0, 2, 3, 4, 4, 0, 2, 0, 2, 2, 2, 0, 1, 1, 4, 0, 4, 3, 4, 0, 1, 2, 1, 1, 4, 3, 0, 0, 0, 1, 0, 3, 4, 2, 2, 3, 0, 3, 0, 4, 1, 1, 0, 3, 4, 1, 0, 4, 2, 1, 2, 2, 1, 2, 1, 0, 3, 2, 4, 0, 3, 1, 2, 2, 0, 3, 3, 4, 4, 1, 2, 0, 4, 1, 2, 2, 4, 1, 0, 1, 2, 4, 4, 0, 2, 1, 1, 2, 4, 4, 4, 1, 0, 4, 2, 3] pubkeycol1314 = [1, 3, 3, 0, 0, 1, 1, 2, 1, 1, 0, 2, 3, 3, 0, 0, 3, 2, 4, 3, 2, 2, 2, 4, 4, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 4, 4, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 3, 1, 2, 1, 4, 0, 4, 4, 3, 2, 1, 1, 1, 4, 4, 3, 1, 0, 2, 2, 0, 1, 3, 1, 1, 0, 1, 0, 4, 4, 0, 0, 0, 3, 3, 3, 1, 4, 3, 3, 1, 1, 0, 3, 4, 1, 3, 0, 4, 0, 4, 4, 2, 2, 3, 1, 3, 1, 1, 2, 0, 0, 1, 3, 1, 3, 2, 2, 0, 1, 2, 0, 1, 0, 2, 3, 4, 0, 3, 0, 1, 3, 2, 1, 1, 1, 2, 3, 3, 0, 4, 3, 0, 2, 4, 4, 4, 4, 1, 0, 2, 4, 1, 4, 4, 1, 3, 2, 4, 3, 3, 1, 1, 0, 0, 1, 1, 0, 4, 3, 1, 3, 0, 0, 3, 1, 4, 3, 3, 2, 0, 0, 4, 4, 2, 2, 1, 0, 1, 0, 4, 2, 2, 2, 4, 1, 2, 1, 4, 0, 4, 1, 4, 3, 0, 4, 2, 4, 1, 0, 3, 1, 1, 0, 1, 1, 0, 3, 0, 0, 0, 1, 2, 3, 2, 4, 3, 3, 4, 1, 2, 1, 4, 0, 0, 1, 1, 4, 1, 2, 1, 1, 3, 4, 4, 2, 4, 0, 2, 2, 2, 1, 3, 2, 2, 0, 1, 3, 4, 1, 2, 3, 3, 0, 1, 1, 2, 2, 0, 2, 3, 0, 3, 3, 1, 2, 3, 2, 1, 4, 4, 0, 1, 2, 3, 4, 4, 1, 4, 0, 1, 2, 3, 2, 2, 1, 0, 2, 1, 1, 2, 0, 4, 4, 1, 1, 2, 2, 0, 2, 1, 3, 0, 0, 0, 4, 0, 2, 1, 4, 2, 3, 0, 1, 3, 3, 3, 4, 1, 2, 3, 3, 4, 3, 4, 1, 0, 3, 2, 3, 4, 3, 2, 4, 0, 0, 4, 2, 0, 4, 3, 3, 1, 1, 0, 4, 2, 0, 3, 0, 1, 0, 4, 0, 0, 1, 3, 3, 0, 2, 0, 3, 2, 2, 3, 0, 0, 1, 0, 4, 0, 1, 3, 1, 4, 2, 0, 3, 0, 0, 1, 4, 4, 2, 1, 1, 3, 1, 0, 4] pubkeycol1315 = [4, 1, 2, 3, 2, 4, 3, 2, 4, 2, 0, 1, 1, 2, 4, 3, 2, 3, 3, 2, 3, 4, 0, 2, 4, 3, 0, 0, 1, 0, 4, 0, 0, 0, 1, 4, 3, 4, 4, 1, 3, 3, 2, 1, 3, 3, 0, 0, 1, 4, 0, 2, 4, 3, 3, 4, 1, 1, 4, 0, 3, 0, 2, 3, 4, 3, 4, 0, 3, 2, 3, 0, 4, 4, 0, 0, 1, 2, 1, 0, 3, 0, 0, 2, 1, 1, 4, 1, 4, 1, 1, 1, 0, 3, 0, 4, 2, 0, 2, 4, 2, 3, 4, 0, 3, 4, 2, 1, 2, 4, 1, 4, 1, 3, 3, 2, 4, 2, 4, 3, 0, 4, 4, 3, 0, 0, 4, 3, 0, 0, 2, 3, 2, 3, 0, 0, 2, 2, 4, 1, 0, 2, 4, 4, 1, 2, 3, 0, 4, 3, 2, 4, 2, 4, 0, 4, 4, 0, 4, 2, 3, 1, 3, 4, 3, 2, 2, 2, 1, 1, 3, 0, 3, 4, 2, 3, 3, 4, 1, 2, 2, 0, 4, 4, 4, 0, 1, 0, 4, 2, 1, 3, 3, 4, 4, 1, 0, 4, 0, 0, 1, 4, 4, 4, 3, 3, 3, 4, 0, 3, 1, 0, 2, 0, 1, 1, 4, 1, 3, 1, 2, 3, 4, 4, 2, 0, 1, 4, 1, 3, 3, 4, 0, 3, 1, 1, 1, 3, 2, 0, 2, 4, 1, 3, 1, 0, 3, 3, 3, 4, 0, 0, 2, 3, 4, 2, 2, 2, 2, 3, 2, 0, 3, 4, 2, 1, 3, 1, 0, 4, 1, 2, 2, 4, 2, 0, 4, 2, 0, 4, 3, 0, 0, 0, 0, 3, 1, 4, 1, 2, 2, 4, 1, 1, 1, 3, 2, 0, 2, 4, 3, 3, 4, 4, 3, 0, 0, 3, 4, 2, 2, 1, 4, 1, 0, 4, 4, 4, 1, 3, 0, 0, 0, 4, 0, 4, 4, 1, 3, 3, 3, 2, 1, 0, 1, 3, 0, 0, 4, 0, 3, 0, 2, 0, 2, 4, 3, 1, 4, 3, 0, 1, 4, 3, 2, 1, 3, 0, 2, 4, 0, 3, 4, 1, 3, 3, 0, 4, 4, 0, 2, 2, 0, 0, 2, 2, 1, 4, 3, 4, 1, 0, 4, 2, 4, 0, 3, 1, 4, 1, 4, 1, 3, 4, 0, 0, 2, 3, 4, 4] pubkeycol1316 = [2, 4, 4, 2, 1, 1, 4, 4, 4, 1, 1, 3, 1, 4, 4, 2, 3, 1, 0, 3, 0, 0, 3, 3, 2, 2, 3, 2, 3, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 0, 0, 2, 4, 0, 3, 2, 2, 1, 1, 1, 0, 1, 1, 2, 3, 3, 4, 0, 1, 0, 3, 3, 2, 0, 4, 4, 0, 3, 0, 0, 2, 4, 3, 4, 4, 2, 1, 3, 1, 0, 3, 0, 3, 2, 4, 3, 1, 2, 1, 2, 4, 2, 2, 0, 3, 2, 4, 4, 3, 4, 0, 3, 2, 0, 3, 0, 1, 4, 3, 2, 0, 0, 3, 0, 1, 0, 2, 4, 4, 0, 0, 2, 3, 4, 4, 3, 3, 3, 1, 0, 1, 0, 2, 4, 1, 4, 0, 1, 1, 3, 1, 2, 0, 4, 4, 1, 0, 2, 1, 4, 3, 1, 2, 2, 0, 4, 2, 3, 0, 4, 0, 0, 4, 3, 3, 0, 4, 0, 2, 2, 1, 1, 4, 0, 0, 2, 2, 3, 4, 0, 3, 1, 4, 3, 3, 1, 1, 2, 0, 2, 4, 4, 4, 2, 4, 1, 3, 0, 2, 3, 2, 4, 0, 0, 3, 0, 1, 2, 0, 2, 3, 0, 1, 4, 2, 4, 3, 2, 4, 2, 4, 1, 4, 1, 2, 2, 4, 4, 3, 0, 2, 3, 0, 1, 3, 1, 4, 4, 0, 4, 3, 2, 0, 1, 4, 0, 4, 3, 1, 2, 0, 1, 3, 4, 1, 3, 3, 1, 0, 1, 1, 4, 1, 4, 4, 4, 3, 2, 4, 2, 0, 2, 1, 0, 4, 4, 2, 4, 3, 1, 2, 2, 1, 3, 4, 2, 3, 2, 2, 1, 0, 0, 0, 3, 4, 2, 1, 3, 2, 3, 2, 3, 0, 4, 2, 4, 0, 0, 1, 0, 4, 1, 4, 1, 4, 4, 3, 2, 2, 2, 2, 4, 0, 1, 0, 4, 1, 4, 4, 0, 3, 4, 4, 1, 4, 4, 0, 1, 1, 3, 2, 4, 0, 1, 4, 4, 1, 4, 4, 0, 4, 1, 3, 0, 2, 3, 4, 1, 0, 3, 1, 3, 3, 3, 2, 1, 3, 4, 3, 2, 2, 1, 4, 0, 3, 0, 4, 0, 4, 4, 2, 1, 4, 0, 2, 2, 0, 4, 0, 1, 0, 3, 0, 0, 4, 1, 2, 3, 4, 3] pubkeycol1317 = [1, 4, 0, 1, 4, 1, 2, 1, 4, 2, 0, 2, 1, 3, 2, 1, 2, 2, 3, 1, 2, 3, 1, 1, 3, 2, 0, 2, 3, 2, 4, 2, 1, 2, 1, 3, 2, 2, 3, 3, 4, 1, 4, 4, 1, 3, 3, 0, 3, 2, 4, 1, 3, 3, 3, 1, 4, 2, 0, 3, 4, 4, 1, 0, 1, 1, 2, 1, 4, 1, 1, 2, 0, 2, 4, 1, 1, 0, 2, 2, 0, 1, 1, 3, 0, 1, 3, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 1, 0, 4, 4, 2, 1, 2, 4, 0, 0, 4, 2, 3, 1, 4, 3, 2, 4, 4, 0, 3, 3, 3, 4, 0, 0, 3, 1, 2, 3, 1, 4, 1, 0, 1, 4, 2, 3, 2, 0, 4, 3, 4, 1, 1, 0, 0, 0, 4, 4, 2, 1, 1, 3, 2, 4, 4, 2, 1, 1, 4, 1, 0, 4, 4, 3, 4, 3, 0, 1, 1, 3, 4, 4, 1, 0, 1, 0, 2, 0, 2, 3, 0, 2, 0, 0, 4, 0, 2, 3, 1, 0, 3, 1, 1, 1, 4, 4, 3, 0, 0, 4, 4, 4, 4, 3, 0, 3, 0, 1, 4, 2, 2, 4, 2, 1, 3, 4, 2, 0, 3, 4, 1, 0, 0, 1, 2, 3, 4, 0, 1, 2, 0, 0, 4, 0, 4, 2, 1, 1, 0, 3, 1, 4, 2, 0, 3, 3, 0, 4, 4, 0, 3, 2, 4, 3, 3, 0, 0, 3, 3, 1, 2, 2, 4, 4, 4, 3, 3, 2, 1, 0, 2, 2, 1, 4, 3, 0, 2, 4, 4, 3, 1, 1, 4, 0, 1, 3, 0, 1, 3, 1, 2, 0, 0, 1, 1, 0, 0, 2, 4, 1, 3, 0, 3, 3, 2, 1, 2, 0, 4, 4, 3, 3, 0, 4, 4, 0, 1, 3, 2, 0, 1, 0, 0, 0, 3, 3, 4, 3, 0, 2, 0, 4, 3, 4, 3, 2, 4, 1, 4, 4, 3, 0, 3, 0, 3, 0, 0, 3, 2, 2, 3, 2, 0, 0, 1, 4, 0, 1, 4, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 3, 1, 1, 0, 2, 4, 3, 0, 1, 0, 0, 0, 2, 4, 2, 3, 4, 1, 3, 2, 0, 3, 4, 0, 3, 1, 3, 1, 4, 1, 0, 3] pubkeycol1318 = [0, 1, 4, 0, 4, 3, 1, 4, 1, 3, 2, 1, 4, 3, 0, 4, 3, 3, 1, 1, 4, 1, 3, 3, 2, 0, 3, 0, 4, 3, 0, 4, 4, 1, 0, 4, 0, 0, 3, 1, 1, 1, 1, 2, 2, 3, 1, 4, 2, 2, 3, 2, 4, 4, 2, 4, 3, 0, 4, 1, 3, 0, 2, 3, 1, 2, 0, 1, 1, 1, 4, 3, 1, 1, 3, 1, 1, 4, 4, 3, 0, 2, 2, 1, 4, 2, 3, 3, 2, 1, 1, 3, 1, 2, 3, 4, 3, 1, 4, 1, 3, 1, 2, 4, 1, 4, 1, 1, 2, 2, 3, 2, 3, 1, 3, 3, 4, 3, 3, 2, 2, 2, 3, 1, 1, 2, 4, 3, 3, 0, 4, 1, 4, 4, 2, 4, 3, 1, 0, 0, 1, 0, 3, 2, 1, 2, 1, 0, 2, 2, 2, 4, 4, 0, 0, 1, 0, 0, 4, 0, 2, 2, 0, 2, 0, 4, 4, 1, 4, 1, 0, 0, 3, 3, 1, 3, 3, 4, 4, 1, 0, 3, 4, 2, 1, 3, 2, 3, 4, 1, 1, 4, 2, 0, 0, 3, 1, 4, 3, 2, 0, 0, 3, 0, 2, 4, 2, 0, 3, 4, 0, 3, 1, 2, 4, 3, 1, 2, 0, 3, 3, 1, 1, 1, 4, 0, 3, 4, 2, 2, 4, 3, 2, 0, 2, 3, 2, 1, 0, 2, 2, 0, 4, 2, 1, 1, 4, 4, 4, 2, 3, 2, 3, 3, 2, 0, 3, 4, 3, 1, 2, 4, 4, 4, 2, 3, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 2, 3, 1, 2, 2, 4, 2, 2, 4, 4, 4, 4, 1, 3, 4, 4, 0, 3, 1, 4, 3, 2, 3, 0, 0, 0, 0, 1, 3, 4, 4, 3, 0, 1, 2, 0, 2, 1, 2, 1, 3, 4, 0, 2, 3, 1, 0, 1, 0, 0, 2, 0, 3, 1, 3, 3, 3, 0, 4, 2, 1, 1, 4, 3, 3, 2, 0, 4, 2, 4, 2, 3, 4, 0, 4, 2, 2, 4, 4, 0, 3, 2, 1, 1, 0, 4, 3, 2, 4, 1, 3, 3, 3, 4, 0, 0, 0, 2, 4, 3, 4, 3, 0, 4, 3, 0, 1, 4, 2, 1, 2, 0, 0, 3, 2, 2, 0, 3, 2, 1, 4, 0, 0, 3] pubkeycol1319 = [2, 0, 4, 4, 3, 1, 1, 1, 1, 3, 1, 3, 4, 3, 3, 1, 0, 1, 2, 2, 2, 0, 1, 0, 4, 4, 3, 3, 2, 3, 4, 2, 4, 0, 4, 3, 3, 1, 2, 0, 1, 1, 2, 4, 2, 1, 1, 3, 1, 1, 4, 3, 1, 1, 0, 0, 4, 4, 2, 2, 2, 4, 2, 0, 3, 3, 4, 4, 3, 0, 0, 0, 0, 4, 3, 3, 0, 0, 3, 3, 1, 2, 2, 1, 3, 3, 0, 3, 2, 4, 2, 3, 2, 4, 0, 4, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 3, 4, 3, 4, 4, 3, 4, 3, 0, 0, 4, 0, 1, 0, 0, 3, 4, 0, 4, 3, 2, 1, 0, 1, 4, 1, 0, 2, 2, 3, 0, 2, 4, 2, 0, 3, 4, 0, 0, 1, 1, 2, 3, 3, 3, 3, 0, 0, 4, 3, 3, 1, 0, 2, 3, 1, 2, 2, 4, 1, 1, 0, 1, 2, 2, 4, 0, 1, 2, 3, 1, 2, 0, 2, 3, 1, 3, 1, 2, 1, 2, 1, 2, 0, 0, 3, 3, 0, 0, 3, 4, 2, 1, 3, 2, 2, 1, 1, 3, 0, 1, 0, 1, 1, 1, 3, 4, 3, 0, 2, 1, 3, 0, 4, 2, 2, 0, 3, 2, 3, 4, 2, 1, 0, 2, 0, 1, 0, 2, 4, 4, 3, 1, 3, 0, 2, 3, 4, 1, 3, 2, 3, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 3, 0, 3, 2, 2, 1, 0, 1, 3, 4, 2, 3, 2, 1, 0, 3, 4, 3, 3, 0, 1, 3, 2, 4, 0, 3, 1, 4, 0, 0, 4, 3, 0, 1, 4, 2, 1, 4, 0, 2, 3, 3, 4, 2, 3, 3, 2, 3, 4, 2, 4, 3, 3, 2, 4, 3, 3, 4, 1, 3, 4, 2, 2, 2, 4, 1, 4, 4, 2, 4, 2, 1, 0, 4, 2, 3, 0, 3, 4, 1, 1, 2, 4, 0, 3, 2, 3, 2, 1, 1, 4, 3, 4, 4, 3, 0, 4, 2, 2, 3, 4, 4, 3, 3, 0, 1, 2, 1, 4, 2, 0, 1, 4, 0, 2, 2, 3, 3, 2, 4, 3, 1, 4, 1, 4, 2, 3, 3, 0, 2, 4, 1, 3, 4, 3, 1] pubkeycol1320 = [4, 2, 1, 1, 1, 4, 1, 4, 2, 4, 1, 3, 3, 0, 4, 4, 1, 1, 4, 1, 1, 4, 4, 4, 0, 1, 2, 4, 0, 2, 2, 1, 4, 4, 0, 2, 3, 2, 0, 0, 2, 1, 0, 0, 4, 2, 3, 0, 0, 3, 2, 0, 4, 0, 2, 0, 0, 3, 2, 2, 1, 4, 1, 0, 2, 1, 0, 4, 4, 4, 4, 1, 0, 3, 2, 0, 2, 4, 4, 0, 4, 3, 2, 4, 0, 2, 2, 1, 1, 1, 4, 2, 0, 3, 2, 0, 0, 1, 1, 3, 1, 2, 1, 4, 2, 3, 2, 4, 4, 3, 2, 4, 1, 0, 3, 0, 0, 4, 4, 0, 4, 1, 3, 3, 0, 1, 4, 1, 1, 3, 4, 1, 1, 0, 0, 3, 1, 2, 1, 4, 2, 4, 2, 4, 1, 2, 4, 0, 0, 1, 1, 3, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 3, 0, 0, 2, 3, 3, 0, 2, 2, 4, 3, 0, 1, 4, 1, 1, 2, 3, 1, 1, 2, 3, 0, 0, 4, 3, 3, 1, 3, 2, 3, 1, 4, 1, 4, 1, 3, 3, 1, 0, 2, 0, 3, 1, 0, 3, 3, 1, 1, 0, 2, 1, 2, 4, 2, 2, 0, 1, 0, 1, 4, 1, 4, 2, 3, 1, 2, 4, 0, 3, 3, 0, 3, 4, 2, 4, 3, 4, 2, 4, 2, 4, 4, 2, 3, 0, 0, 1, 2, 2, 1, 4, 4, 1, 3, 4, 2, 0, 4, 0, 0, 3, 1, 2, 2, 4, 0, 2, 0, 4, 1, 1, 2, 0, 0, 0, 2, 0, 4, 4, 2, 0, 1, 4, 3, 2, 1, 4, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 4, 1, 4, 0, 2, 4, 2, 3, 2, 1, 2, 1, 0, 2, 1, 4, 1, 3, 2, 2, 4, 0, 4, 2, 2, 2, 4, 3, 2, 3, 3, 1, 2, 3, 4, 4, 4, 2, 3, 2, 0, 0, 0, 1, 3, 0, 2, 4, 3, 3, 4, 0, 3, 3, 4, 2, 3, 1, 4, 3, 4, 3, 4, 2, 2, 0, 3, 4, 4, 3, 4, 0, 1, 2, 0, 2, 1, 4, 2, 2, 2, 1, 1, 0, 0, 4, 0, 2, 1, 2, 0, 2, 2, 1, 1, 3, 3, 4, 1, 1] pubkeycol1321 = [1, 1, 1, 2, 0, 1, 2, 4, 0, 4, 0, 2, 4, 4, 3, 2, 0, 4, 3, 4, 2, 3, 2, 3, 3, 0, 2, 2, 3, 4, 3, 0, 1, 2, 4, 3, 4, 1, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 3, 3, 1, 2, 1, 2, 3, 4, 2, 3, 4, 1, 1, 2, 2, 0, 4, 4, 4, 0, 2, 4, 4, 4, 3, 3, 2, 3, 1, 3, 2, 0, 2, 4, 4, 3, 1, 4, 4, 2, 0, 1, 4, 2, 4, 2, 0, 3, 0, 2, 0, 0, 4, 3, 4, 4, 2, 1, 0, 1, 1, 1, 3, 0, 1, 2, 3, 0, 4, 4, 4, 2, 3, 0, 3, 1, 1, 1, 4, 1, 1, 1, 4, 3, 4, 3, 3, 1, 1, 3, 4, 2, 0, 3, 1, 3, 0, 4, 3, 3, 1, 0, 4, 2, 4, 2, 0, 2, 4, 0, 1, 1, 0, 4, 1, 2, 0, 1, 4, 1, 4, 3, 4, 1, 1, 2, 3, 0, 2, 0, 4, 3, 2, 3, 1, 2, 4, 3, 0, 2, 2, 4, 3, 4, 1, 1, 0, 0, 3, 0, 4, 0, 0, 4, 1, 2, 2, 4, 3, 4, 3, 2, 1, 0, 2, 0, 1, 4, 4, 1, 2, 3, 1, 1, 1, 4, 3, 4, 0, 1, 0, 1, 4, 4, 0, 0, 0, 4, 1, 4, 0, 0, 2, 3, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 4, 0, 2, 4, 2, 2, 0, 1, 2, 3, 1, 1, 1, 4, 4, 3, 1, 3, 0, 4, 0, 3, 0, 0, 1, 0, 4, 2, 1, 0, 4, 2, 1, 3, 3, 3, 3, 0, 2, 0, 1, 2, 4, 2, 4, 1, 3, 4, 0, 2, 4, 1, 3, 2, 3, 1, 1, 0, 2, 4, 3, 2, 1, 1, 3, 3, 4, 2, 4, 1, 4, 2, 2, 3, 4, 1, 3, 4, 1, 2, 1, 2, 3, 3, 1, 2, 1, 3, 0, 4, 0, 2, 4, 4, 2, 4, 1, 1, 4, 0, 4, 3, 2, 2, 1, 2, 0, 4, 1, 1, 4, 1, 0, 0, 4, 0, 1, 4, 1, 3, 1, 2, 3, 3, 1, 2, 3, 0, 1, 4, 1, 4, 2, 1, 2, 4, 1, 1, 0, 0, 3, 0, 1, 3, 1, 0] pubkeycol1322 = [0, 0, 0, 1, 4, 1, 2, 3, 2, 0, 4, 1, 0, 1, 3, 3, 1, 1, 4, 3, 4, 4, 4, 1, 2, 3, 2, 2, 3, 3, 2, 4, 4, 3, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 4, 0, 3, 4, 3, 1, 1, 2, 0, 3, 0, 0, 2, 2, 3, 2, 2, 0, 0, 1, 0, 4, 4, 0, 2, 3, 2, 1, 1, 4, 0, 3, 2, 1, 3, 4, 1, 4, 2, 2, 1, 2, 3, 4, 3, 3, 0, 1, 2, 3, 2, 0, 1, 3, 4, 1, 3, 4, 0, 0, 0, 0, 3, 3, 0, 4, 1, 3, 2, 1, 4, 2, 3, 4, 3, 4, 2, 4, 0, 4, 0, 3, 4, 2, 1, 4, 1, 2, 1, 3, 3, 0, 2, 1, 0, 3, 0, 2, 4, 0, 1, 0, 0, 4, 0, 4, 0, 4, 2, 3, 1, 1, 1, 3, 0, 1, 0, 4, 3, 0, 2, 4, 2, 1, 0, 0, 2, 1, 4, 3, 1, 1, 4, 4, 3, 3, 3, 2, 2, 1, 1, 4, 2, 1, 3, 4, 4, 3, 1, 2, 2, 3, 3, 3, 1, 4, 4, 1, 4, 1, 3, 2, 3, 2, 0, 1, 4, 1, 2, 4, 1, 4, 4, 2, 0, 0, 3, 1, 3, 4, 2, 1, 3, 1, 4, 2, 4, 4, 4, 2, 3, 2, 3, 1, 4, 1, 1, 2, 1, 1, 4, 4, 1, 4, 1, 4, 0, 4, 2, 0, 0, 2, 4, 4, 0, 4, 0, 4, 2, 2, 3, 3, 4, 1, 2, 0, 1, 4, 4, 1, 4, 4, 3, 4, 1, 0, 4, 2, 3, 2, 2, 4, 2, 0, 0, 1, 4, 4, 3, 3, 1, 1, 2, 1, 3, 4, 1, 3, 2, 4, 0, 4, 0, 0, 3, 2, 4, 4, 0, 3, 0, 3, 0, 1, 1, 2, 1, 4, 1, 4, 2, 0, 4, 1, 2, 1, 1, 2, 1, 4, 0, 4, 3, 3, 2, 2, 2, 3, 4, 2, 1, 2, 4, 0, 4, 3, 2, 0, 2, 3, 1, 3, 3, 0, 2, 1, 1, 4, 3, 2, 4, 3, 2, 1, 2, 1, 3, 2, 0, 3, 0, 3, 2, 1, 1, 0, 3, 0, 3, 3, 2, 3, 1, 3, 1, 4, 4, 1, 4, 4, 2, 0, 4, 4] pubkeycol1323 = [1, 2, 0, 2, 3, 1, 3, 1, 3, 0, 2, 0, 4, 4, 4, 4, 0, 3, 2, 4, 0, 1, 1, 1, 4, 2, 3, 0, 3, 1, 3, 4, 4, 2, 0, 4, 4, 2, 1, 1, 3, 2, 4, 1, 2, 2, 4, 1, 0, 4, 2, 1, 0, 0, 2, 4, 3, 1, 4, 0, 0, 2, 2, 3, 3, 2, 0, 4, 0, 2, 4, 1, 2, 1, 3, 1, 3, 2, 4, 2, 3, 4, 3, 3, 1, 1, 3, 1, 0, 1, 2, 2, 2, 1, 1, 4, 1, 1, 3, 4, 0, 3, 4, 2, 1, 1, 3, 3, 1, 2, 0, 3, 0, 3, 4, 4, 2, 3, 2, 4, 4, 3, 1, 3, 3, 0, 2, 3, 4, 3, 3, 3, 2, 1, 4, 0, 3, 1, 1, 2, 4, 1, 2, 0, 2, 1, 2, 0, 4, 3, 0, 1, 0, 4, 4, 3, 0, 1, 1, 3, 3, 0, 2, 0, 0, 0, 4, 4, 2, 4, 3, 4, 4, 2, 4, 2, 1, 4, 4, 2, 1, 4, 1, 0, 0, 3, 2, 1, 2, 3, 1, 0, 4, 3, 0, 0, 2, 4, 2, 1, 0, 2, 3, 2, 1, 0, 3, 3, 0, 3, 3, 1, 4, 0, 3, 1, 0, 1, 0, 4, 2, 2, 2, 0, 0, 0, 4, 3, 4, 4, 4, 3, 3, 0, 3, 2, 4, 0, 4, 2, 0, 0, 0, 1, 0, 3, 2, 4, 2, 2, 1, 4, 2, 0, 1, 3, 3, 4, 3, 0, 3, 0, 3, 3, 3, 1, 4, 4, 0, 2, 1, 3, 0, 1, 3, 1, 0, 2, 1, 1, 3, 3, 1, 4, 1, 3, 1, 2, 3, 4, 0, 4, 3, 0, 2, 4, 2, 2, 0, 0, 2, 4, 0, 4, 3, 0, 2, 3, 4, 1, 1, 0, 1, 0, 3, 3, 2, 0, 1, 2, 3, 4, 3, 2, 0, 2, 2, 0, 3, 2, 1, 0, 2, 0, 2, 0, 3, 4, 1, 4, 2, 0, 2, 0, 0, 3, 3, 2, 3, 3, 4, 1, 2, 2, 4, 3, 0, 1, 4, 2, 3, 3, 3, 2, 1, 0, 1, 1, 2, 3, 4, 3, 0, 2, 2, 1, 3, 2, 4, 3, 2, 0, 2, 2, 0, 0, 3, 3, 2, 3, 0, 3, 0, 0, 4, 4, 2, 2, 2, 3] pubkeycol1324 = [0, 3, 2, 4, 3, 2, 4, 3, 1, 4, 3, 0, 4, 4, 3, 2, 1, 3, 2, 4, 1, 1, 0, 3, 2, 0, 2, 2, 3, 4, 4, 0, 2, 1, 2, 4, 4, 2, 4, 1, 1, 4, 2, 2, 4, 4, 0, 3, 1, 1, 1, 3, 2, 2, 4, 4, 2, 2, 0, 2, 0, 0, 3, 0, 3, 1, 4, 3, 1, 0, 3, 0, 2, 3, 2, 2, 0, 4, 3, 4, 4, 3, 2, 1, 0, 2, 3, 4, 2, 1, 2, 0, 3, 1, 2, 4, 3, 0, 0, 0, 1, 3, 0, 1, 3, 0, 4, 4, 3, 1, 0, 0, 2, 3, 3, 1, 4, 3, 1, 3, 1, 1, 4, 0, 2, 0, 4, 3, 1, 3, 3, 2, 3, 4, 3, 3, 4, 4, 0, 3, 3, 4, 4, 0, 4, 0, 0, 2, 1, 2, 0, 1, 0, 1, 3, 4, 1, 3, 4, 3, 3, 4, 3, 0, 4, 2, 0, 3, 2, 4, 2, 4, 0, 2, 1, 4, 0, 2, 0, 3, 1, 4, 3, 3, 1, 4, 3, 2, 4, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 4, 0, 2, 0, 3, 1, 1, 2, 1, 3, 0, 2, 0, 0, 1, 3, 4, 1, 0, 4, 4, 3, 1, 2, 3, 3, 2, 3, 4, 0, 1, 0, 3, 3, 4, 0, 1, 3, 4, 4, 0, 2, 0, 0, 3, 3, 1, 4, 2, 2, 1, 1, 1, 0, 0, 2, 4, 3, 2, 2, 4, 0, 3, 3, 1, 2, 4, 0, 2, 0, 4, 1, 1, 3, 0, 3, 4, 0, 0, 2, 4, 0, 3, 3, 2, 0, 1, 3, 2, 3, 2, 2, 1, 2, 2, 4, 4, 4, 0, 3, 1, 0, 3, 0, 4, 4, 1, 4, 1, 2, 0, 0, 4, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 4, 0, 3, 1, 3, 1, 0, 2, 3, 0, 4, 1, 2, 0, 2, 3, 1, 0, 0, 1, 4, 0, 2, 4, 1, 3, 0, 2, 4, 1, 2, 3, 4, 2, 0, 3, 0, 1, 4, 0, 2, 3, 1, 2, 2, 2, 3, 1, 3, 3, 2, 1, 4, 3, 4, 4, 3, 0, 1, 0, 4, 1, 0, 0, 0, 4, 4, 4, 3, 1, 2, 1, 1, 0, 3, 2] pubkeycol1325 = [4, 4, 4, 0, 4, 2, 3, 1, 1, 4, 2, 2, 3, 0, 1, 4, 1, 0, 0, 1, 0, 3, 3, 4, 1, 0, 3, 4, 3, 0, 1, 1, 1, 1, 3, 0, 1, 4, 0, 4, 0, 1, 0, 3, 2, 3, 4, 1, 3, 3, 3, 1, 2, 4, 3, 4, 1, 3, 3, 3, 3, 2, 1, 2, 0, 2, 3, 2, 0, 1, 4, 1, 0, 0, 1, 0, 2, 4, 3, 4, 1, 4, 0, 1, 4, 4, 1, 4, 1, 2, 4, 0, 4, 4, 3, 1, 0, 2, 3, 4, 3, 3, 4, 2, 2, 1, 3, 0, 0, 1, 1, 0, 0, 4, 2, 2, 1, 3, 3, 3, 1, 0, 3, 3, 4, 4, 0, 0, 3, 1, 0, 3, 1, 0, 3, 0, 0, 0, 3, 0, 3, 1, 1, 0, 1, 4, 3, 3, 1, 2, 3, 4, 1, 1, 4, 0, 2, 4, 2, 3, 1, 4, 0, 3, 3, 3, 1, 2, 1, 1, 1, 0, 2, 1, 3, 4, 0, 0, 4, 4, 3, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 4, 2, 3, 0, 4, 3, 4, 1, 3, 0, 4, 4, 0, 3, 0, 1, 0, 3, 2, 2, 4, 3, 2, 1, 3, 2, 0, 2, 1, 4, 1, 1, 2, 3, 0, 2, 1, 3, 3, 2, 3, 4, 1, 3, 2, 1, 1, 1, 4, 3, 3, 4, 3, 2, 4, 1, 1, 0, 3, 2, 4, 2, 4, 1, 0, 4, 2, 0, 2, 2, 3, 4, 2, 2, 2, 2, 2, 4, 0, 0, 1, 0, 3, 3, 4, 4, 1, 0, 1, 2, 4, 2, 1, 1, 3, 2, 1, 2, 3, 2, 3, 1, 0, 1, 2, 1, 3, 0, 3, 0, 0, 0, 0, 1, 4, 0, 0, 3, 2, 3, 2, 1, 1, 2, 3, 0, 3, 0, 1, 3, 0, 2, 2, 3, 4, 0, 4, 1, 1, 1, 2, 3, 2, 0, 3, 1, 3, 2, 0, 2, 1, 3, 3, 4, 2, 2, 0, 3, 0, 1, 4, 3, 0, 1, 3, 1, 3, 2, 0, 4, 3, 4, 4, 1, 0, 3, 3, 1, 3, 1, 4, 4, 2, 4, 4, 3, 3, 3, 1, 0, 1, 1, 1, 2, 0, 3, 0, 3, 4, 3, 1] pubkeycol1326 = [0, 3, 0, 3, 0, 1, 0, 0, 1, 2, 1, 0, 0, 3, 3, 1, 0, 3, 4, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 4, 2, 2, 4, 0, 3, 3, 3, 3, 1, 2, 2, 4, 2, 3, 3, 1, 1, 4, 3, 3, 1, 3, 0, 4, 3, 1, 4, 4, 3, 0, 3, 4, 2, 3, 4, 4, 1, 2, 4, 0, 0, 3, 3, 2, 3, 3, 3, 0, 3, 3, 4, 4, 2, 4, 0, 3, 4, 4, 3, 3, 2, 4, 0, 3, 3, 3, 2, 1, 4, 2, 4, 3, 4, 2, 4, 1, 0, 1, 3, 1, 0, 4, 2, 2, 0, 1, 0, 1, 2, 3, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 3, 4, 4, 3, 3, 0, 1, 1, 3, 1, 3, 4, 1, 3, 3, 0, 4, 1, 2, 3, 1, 2, 0, 0, 1, 2, 3, 2, 4, 4, 2, 4, 0, 4, 0, 3, 2, 3, 2, 4, 4, 3, 3, 2, 3, 0, 0, 0, 2, 2, 4, 2, 0, 3, 0, 4, 4, 3, 3, 4, 2, 0, 1, 3, 4, 0, 2, 2, 0, 1, 2, 3, 2, 2, 1, 0, 1, 2, 4, 0, 1, 3, 0, 2, 4, 2, 0, 1, 4, 4, 0, 4, 3, 4, 1, 2, 1, 4, 0, 1, 1, 4, 4, 4, 4, 3, 0, 1, 1, 4, 0, 4, 1, 1, 4, 0, 3, 0, 3, 4, 0, 2, 4, 2, 2, 3, 1, 2, 0, 2, 2, 0, 1, 2, 2, 3, 4, 0, 2, 1, 3, 0, 1, 0, 1, 0, 1, 0, 2, 4, 2, 2, 1, 4, 2, 1, 4, 1, 3, 4, 4, 4, 3, 3, 1, 0, 4, 1, 4, 4, 2, 3, 3, 4, 2, 1, 0, 2, 3, 2, 2, 2, 4, 0, 0, 1, 0, 3, 1, 1, 4, 4, 1, 0, 2, 1, 2, 1, 2, 4, 0, 1, 0, 3, 3, 4, 3, 0, 2, 4, 0, 1, 4, 0, 4, 3, 0, 0, 0, 0, 2, 1, 3, 2, 3, 4, 3, 3, 4, 0, 3, 0, 1, 2, 2, 3, 0, 0, 0, 3, 1, 3, 1, 4, 0, 2, 0, 0, 1, 0, 2, 3, 0, 4, 1, 0, 1, 1, 0, 1, 0, 0, 0, 3, 0, 4] pubkeycol1327 = [4, 4, 0, 1, 0, 1, 4, 0, 2, 1, 3, 1, 4, 4, 2, 0, 1, 4, 2, 0, 4, 0, 3, 4, 1, 1, 0, 2, 4, 3, 0, 3, 2, 0, 2, 3, 2, 1, 2, 0, 2, 0, 3, 3, 3, 0, 0, 4, 1, 1, 2, 1, 3, 0, 0, 4, 4, 0, 1, 1, 4, 4, 0, 1, 3, 1, 0, 1, 1, 0, 1, 0, 1, 4, 1, 2, 3, 2, 4, 1, 4, 3, 2, 4, 0, 0, 0, 2, 3, 3, 2, 4, 0, 0, 1, 0, 2, 2, 0, 0, 4, 0, 1, 4, 3, 3, 3, 4, 4, 4, 4, 0, 3, 4, 4, 2, 4, 1, 2, 2, 3, 0, 4, 2, 1, 2, 1, 4, 2, 2, 1, 1, 3, 2, 3, 0, 1, 3, 1, 1, 4, 2, 0, 3, 2, 0, 2, 0, 3, 3, 3, 1, 4, 2, 3, 0, 0, 0, 4, 2, 2, 4, 1, 2, 3, 2, 3, 4, 0, 3, 2, 3, 4, 4, 1, 0, 2, 2, 2, 0, 2, 3, 4, 2, 2, 4, 4, 1, 0, 4, 2, 0, 4, 3, 0, 3, 3, 1, 1, 0, 0, 1, 1, 1, 2, 1, 3, 3, 3, 2, 0, 1, 0, 1, 4, 4, 3, 1, 2, 1, 3, 0, 3, 0, 0, 4, 3, 4, 2, 0, 0, 1, 4, 4, 1, 4, 4, 2, 4, 4, 1, 2, 3, 2, 2, 0, 2, 2, 3, 1, 0, 0, 4, 2, 4, 4, 1, 0, 3, 4, 2, 2, 3, 4, 3, 2, 0, 3, 1, 1, 0, 3, 2, 1, 3, 4, 4, 2, 0, 1, 4, 3, 3, 0, 1, 0, 2, 0, 1, 0, 4, 3, 3, 4, 2, 0, 2, 0, 3, 1, 3, 1, 3, 2, 1, 3, 2, 3, 3, 1, 4, 3, 1, 2, 3, 4, 2, 4, 1, 4, 4, 3, 1, 0, 3, 0, 1, 1, 3, 2, 3, 0, 1, 4, 3, 4, 0, 3, 1, 1, 3, 4, 3, 3, 4, 0, 4, 0, 0, 4, 4, 2, 1, 1, 0, 1, 1, 1, 3, 2, 0, 2, 1, 2, 2, 1, 2, 4, 1, 1, 2, 0, 3, 0, 3, 1, 2, 0, 0, 2, 2, 3, 4, 1, 2, 0, 0, 2, 1, 4, 4, 4, 3, 1, 0, 3, 2, 0, 1, 2] pubkeycol1328 = [3, 0, 4, 0, 4, 2, 4, 2, 3, 2, 2, 3, 0, 2, 0, 0, 4, 3, 1, 2, 0, 1, 0, 3, 1, 2, 1, 0, 3, 0, 2, 2, 2, 2, 3, 0, 3, 1, 1, 3, 2, 0, 4, 0, 3, 3, 2, 2, 3, 1, 3, 3, 3, 2, 0, 3, 4, 4, 2, 0, 1, 1, 1, 1, 0, 3, 1, 0, 1, 3, 0, 3, 0, 0, 0, 1, 0, 1, 2, 2, 2, 4, 2, 4, 4, 2, 0, 3, 2, 0, 4, 1, 3, 0, 3, 1, 4, 4, 2, 3, 2, 2, 4, 2, 2, 1, 0, 4, 3, 2, 0, 4, 2, 4, 0, 4, 1, 1, 3, 1, 3, 4, 1, 2, 4, 0, 3, 1, 1, 1, 1, 0, 4, 0, 2, 3, 0, 1, 4, 1, 2, 2, 3, 3, 0, 3, 1, 4, 4, 1, 3, 4, 1, 3, 1, 4, 2, 2, 0, 1, 2, 0, 3, 1, 0, 4, 3, 2, 2, 2, 1, 4, 3, 3, 3, 1, 4, 2, 3, 3, 4, 3, 2, 0, 4, 0, 3, 3, 0, 3, 4, 0, 4, 4, 1, 1, 4, 4, 2, 2, 4, 3, 2, 4, 0, 4, 4, 4, 4, 0, 4, 0, 2, 0, 2, 2, 2, 3, 3, 2, 3, 1, 4, 2, 0, 4, 1, 4, 2, 3, 3, 1, 4, 2, 3, 1, 2, 0, 4, 0, 2, 1, 2, 1, 1, 0, 2, 4, 4, 0, 0, 0, 3, 4, 2, 3, 2, 1, 1, 4, 1, 4, 2, 3, 4, 2, 2, 0, 0, 1, 4, 1, 1, 1, 3, 1, 3, 1, 2, 4, 2, 4, 1, 1, 1, 0, 4, 1, 4, 0, 1, 2, 3, 4, 0, 4, 1, 1, 1, 2, 0, 4, 4, 4, 4, 1, 4, 1, 3, 1, 2, 3, 0, 1, 2, 1, 2, 3, 0, 2, 4, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 3, 0, 0, 3, 1, 4, 0, 1, 3, 2, 3, 3, 1, 2, 0, 0, 3, 3, 1, 4, 4, 4, 0, 3, 1, 2, 1, 2, 2, 3, 1, 0, 1, 0, 2, 1, 2, 4, 2, 3, 1, 3, 3, 4, 0, 0, 2, 1, 1, 3, 0, 2, 2, 3, 1, 2, 1, 4, 4, 0, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol1329 = [0, 0, 1, 0, 2, 3, 0, 2, 0, 4, 2, 2, 0, 1, 0, 2, 1, 3, 1, 1, 4, 0, 3, 0, 1, 0, 2, 2, 4, 0, 2, 4, 2, 4, 2, 4, 2, 4, 1, 1, 4, 1, 0, 4, 2, 3, 4, 2, 4, 3, 3, 3, 3, 1, 1, 4, 4, 1, 0, 0, 0, 2, 1, 2, 1, 4, 0, 4, 2, 3, 0, 2, 4, 4, 4, 3, 2, 1, 4, 3, 0, 4, 2, 3, 2, 1, 1, 0, 0, 1, 3, 1, 0, 2, 0, 0, 3, 4, 3, 2, 4, 2, 1, 4, 1, 3, 2, 1, 1, 4, 3, 4, 3, 2, 2, 2, 1, 2, 2, 4, 1, 0, 4, 4, 4, 1, 2, 4, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 3, 4, 2, 0, 1, 1, 1, 4, 0, 4, 2, 4, 1, 4, 3, 3, 2, 3, 0, 1, 4, 1, 3, 4, 3, 2, 0, 1, 1, 1, 4, 2, 2, 3, 0, 1, 1, 0, 0, 0, 4, 0, 2, 3, 3, 0, 2, 3, 2, 4, 0, 4, 1, 2, 1, 3, 2, 4, 1, 1, 1, 4, 1, 3, 2, 2, 1, 1, 4, 3, 2, 3, 1, 0, 0, 4, 2, 3, 0, 1, 0, 2, 1, 3, 4, 4, 3, 0, 1, 4, 3, 2, 0, 2, 0, 1, 2, 2, 2, 2, 4, 1, 3, 0, 1, 2, 2, 0, 0, 4, 3, 1, 4, 4, 0, 3, 4, 4, 0, 2, 2, 4, 2, 1, 0, 3, 4, 4, 3, 0, 2, 3, 1, 1, 2, 3, 3, 4, 0, 1, 4, 3, 2, 0, 0, 1, 3, 2, 2, 4, 2, 2, 2, 3, 1, 2, 0, 0, 3, 0, 0, 4, 2, 1, 2, 2, 0, 0, 1, 0, 3, 3, 0, 0, 1, 3, 1, 4, 3, 1, 2, 2, 4, 2, 1, 0, 0, 4, 4, 0, 1, 3, 1, 1, 2, 0, 0, 3, 1, 3, 3, 1, 3, 2, 2, 4, 3, 1, 3, 0, 1, 1, 0, 0, 1, 2, 1, 2, 3, 0, 3, 3, 0, 1, 4, 2, 0, 0, 0, 2, 4, 4, 3, 4, 2, 1, 4, 2, 2, 4, 2, 1, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 2, 4, 3, 4, 0, 3, 4, 0, 3] pubkeycol1330 = [0, 3, 0, 1, 4, 4, 1, 3, 0, 4, 4, 1, 2, 1, 4, 4, 2, 4, 1, 4, 0, 2, 3, 3, 3, 2, 4, 1, 0, 4, 4, 4, 0, 3, 1, 0, 1, 2, 3, 3, 3, 1, 3, 2, 3, 0, 0, 3, 0, 3, 2, 4, 1, 1, 3, 3, 4, 2, 3, 4, 1, 4, 4, 4, 2, 3, 4, 1, 0, 0, 1, 4, 1, 2, 4, 0, 4, 0, 1, 1, 3, 1, 2, 2, 2, 3, 1, 3, 3, 3, 4, 4, 4, 1, 4, 1, 3, 1, 0, 3, 1, 0, 3, 4, 4, 0, 3, 3, 2, 2, 0, 1, 1, 2, 4, 2, 2, 4, 3, 4, 3, 0, 3, 2, 3, 2, 4, 4, 3, 4, 0, 2, 0, 2, 4, 4, 1, 1, 1, 3, 1, 3, 4, 4, 0, 4, 0, 2, 2, 0, 3, 4, 2, 3, 1, 0, 4, 2, 1, 4, 4, 0, 1, 1, 4, 3, 3, 4, 3, 4, 3, 0, 3, 4, 4, 1, 3, 3, 2, 4, 3, 3, 1, 1, 4, 4, 0, 2, 0, 1, 4, 4, 2, 0, 1, 4, 3, 1, 2, 0, 1, 2, 4, 3, 3, 2, 3, 3, 1, 3, 4, 4, 0, 1, 1, 3, 4, 0, 0, 4, 0, 1, 0, 4, 1, 4, 1, 2, 3, 3, 4, 3, 1, 3, 4, 4, 1, 0, 4, 3, 2, 0, 4, 4, 1, 2, 0, 1, 1, 0, 1, 0, 2, 4, 1, 3, 1, 0, 2, 2, 1, 1, 1, 2, 4, 1, 4, 0, 3, 2, 4, 0, 1, 2, 3, 4, 3, 1, 0, 2, 4, 1, 4, 1, 3, 1, 1, 3, 0, 1, 0, 4, 2, 4, 1, 1, 0, 0, 1, 2, 4, 0, 3, 2, 0, 0, 0, 0, 3, 3, 1, 2, 3, 2, 2, 2, 1, 1, 4, 3, 3, 1, 1, 3, 2, 3, 3, 4, 2, 3, 2, 4, 0, 4, 4, 2, 4, 0, 2, 3, 2, 0, 2, 4, 1, 1, 2, 2, 4, 2, 1, 1, 0, 2, 0, 2, 3, 2, 4, 3, 1, 2, 3, 1, 3, 4, 4, 0, 0, 4, 0, 1, 3, 2, 4, 4, 4, 3, 0, 1, 2, 2, 3, 1, 0, 0, 2, 4, 1, 4, 2, 2, 4, 2, 3, 2, 4, 1, 0, 4] pubkeycol1331 = [0, 2, 2, 4, 4, 2, 2, 4, 4, 2, 0, 0, 0, 0, 1, 0, 0, 4, 0, 4, 1, 2, 1, 3, 0, 1, 4, 0, 4, 2, 2, 2, 1, 3, 1, 2, 0, 3, 0, 0, 3, 0, 4, 2, 0, 3, 2, 2, 1, 0, 1, 3, 4, 2, 0, 2, 3, 1, 1, 4, 3, 0, 0, 0, 2, 3, 0, 2, 3, 0, 1, 1, 2, 0, 2, 2, 3, 3, 2, 4, 0, 4, 4, 1, 2, 2, 0, 3, 3, 4, 3, 3, 3, 2, 1, 0, 0, 4, 3, 1, 1, 0, 1, 2, 4, 1, 0, 0, 0, 3, 3, 2, 1, 0, 4, 4, 2, 4, 2, 4, 1, 0, 2, 4, 2, 2, 1, 3, 1, 1, 3, 1, 0, 4, 4, 3, 3, 2, 4, 3, 0, 0, 0, 4, 2, 4, 2, 0, 1, 4, 0, 3, 1, 4, 1, 0, 4, 3, 3, 1, 0, 0, 0, 1, 4, 0, 1, 3, 0, 1, 4, 4, 2, 4, 3, 2, 3, 4, 2, 3, 2, 4, 0, 2, 3, 0, 3, 3, 1, 3, 1, 0, 4, 1, 3, 4, 1, 2, 4, 4, 1, 4, 2, 3, 1, 0, 2, 4, 3, 1, 3, 3, 0, 3, 4, 1, 3, 2, 4, 2, 1, 0, 2, 4, 2, 0, 1, 2, 4, 4, 2, 2, 0, 0, 2, 0, 0, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 2, 4, 3, 3, 0, 3, 0, 4, 0, 0, 2, 0, 1, 3, 0, 3, 2, 1, 0, 4, 3, 3, 2, 3, 4, 4, 3, 4, 2, 1, 4, 4, 3, 1, 4, 1, 4, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 3, 4, 2, 4, 4, 2, 1, 2, 4, 4, 4, 1, 0, 3, 1, 1, 2, 1, 1, 4, 2, 3, 1, 3, 3, 2, 4, 4, 0, 2, 2, 2, 4, 1, 1, 2, 3, 3, 1, 2, 0, 2, 1, 1, 4, 4, 2, 4, 0, 4, 2, 3, 1, 3, 1, 2, 3, 4, 1, 4, 4, 0, 1, 2, 2, 3, 0, 1, 2, 1, 0, 2, 3, 1, 1, 1, 2, 1, 4, 0, 1, 2, 4, 3, 1, 3, 2, 4, 4, 1, 1, 3, 1, 2, 2, 0, 3, 2, 3, 3, 0, 2, 2, 3, 1, 2] pubkeycol1332 = [0, 4, 4, 4, 3, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 4, 2, 4, 1, 1, 0, 1, 4, 1, 3, 2, 1, 0, 2, 2, 1, 2, 0, 4, 2, 0, 2, 0, 4, 4, 0, 0, 3, 4, 3, 4, 1, 2, 4, 1, 3, 0, 4, 3, 0, 3, 1, 1, 0, 4, 2, 0, 0, 2, 3, 3, 0, 4, 2, 0, 4, 1, 3, 3, 0, 2, 2, 1, 3, 0, 2, 3, 1, 3, 4, 2, 0, 3, 3, 0, 3, 1, 1, 4, 4, 3, 4, 4, 4, 0, 3, 1, 4, 1, 1, 2, 0, 0, 3, 3, 1, 3, 4, 0, 1, 0, 1, 3, 3, 4, 3, 0, 2, 3, 3, 2, 0, 3, 3, 1, 3, 2, 0, 1, 0, 0, 0, 2, 0, 0, 4, 4, 4, 3, 0, 1, 0, 1, 4, 1, 3, 3, 1, 3, 2, 2, 1, 2, 1, 0, 4, 4, 2, 4, 0, 3, 1, 3, 4, 1, 1, 3, 0, 2, 1, 2, 1, 0, 1, 3, 4, 0, 3, 2, 2, 0, 0, 1, 1, 4, 2, 0, 2, 0, 1, 4, 3, 2, 3, 1, 3, 0, 3, 3, 0, 4, 3, 1, 4, 4, 2, 3, 2, 2, 3, 1, 4, 1, 1, 0, 4, 0, 4, 3, 0, 0, 1, 1, 0, 4, 4, 2, 3, 4, 3, 2, 2, 4, 3, 2, 0, 4, 3, 4, 1, 2, 3, 0, 4, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 3, 3, 4, 0, 2, 2, 4, 0, 2, 0, 0, 0, 1, 4, 2, 3, 1, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 4, 0, 0, 2, 4, 1, 2, 3, 2, 1, 3, 3, 4, 4, 0, 2, 4, 3, 2, 4, 0, 2, 2, 4, 4, 4, 2, 4, 0, 4, 1, 1, 4, 0, 3, 1, 3, 1, 0, 3, 4, 2, 0, 0, 1, 0, 4, 3, 3, 4, 4, 0, 1, 3, 4, 4, 1, 1, 3, 3, 2, 3, 2, 2, 3, 2, 0, 1, 3, 1, 3, 2, 0, 1, 4, 0, 3, 1, 1, 4, 4, 4, 0, 3, 1, 2, 0, 2, 0, 3, 0, 3, 4, 3, 4, 0, 0, 2, 3, 4, 2, 3, 3, 3, 4, 4] pubkeycol1333 = [3, 2, 1, 4, 0, 1, 4, 4, 0, 1, 3, 1, 4, 4, 1, 0, 3, 1, 0, 2, 3, 4, 1, 0, 1, 2, 0, 4, 4, 4, 4, 1, 2, 0, 2, 0, 3, 0, 0, 2, 1, 1, 1, 2, 2, 3, 1, 4, 3, 0, 3, 4, 1, 0, 4, 0, 4, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 4, 1, 4, 3, 1, 2, 3, 0, 3, 4, 4, 0, 3, 0, 4, 0, 3, 4, 4, 2, 1, 4, 2, 2, 4, 0, 2, 0, 0, 4, 2, 2, 3, 2, 1, 0, 1, 1, 4, 0, 1, 2, 4, 4, 4, 1, 4, 3, 1, 2, 3, 2, 2, 0, 4, 3, 1, 2, 3, 0, 1, 3, 2, 0, 0, 4, 3, 4, 1, 2, 0, 4, 0, 4, 0, 2, 2, 0, 1, 3, 3, 4, 4, 0, 3, 1, 1, 3, 1, 4, 2, 0, 0, 3, 3, 1, 0, 1, 1, 1, 4, 1, 0, 0, 1, 0, 2, 0, 4, 3, 2, 3, 4, 4, 4, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 4, 0, 3, 1, 1, 3, 0, 2, 2, 2, 0, 0, 4, 3, 1, 3, 1, 3, 3, 1, 2, 2, 0, 3, 3, 0, 0, 1, 0, 4, 4, 4, 2, 3, 3, 4, 2, 1, 1, 1, 3, 4, 1, 2, 2, 2, 1, 2, 4, 1, 2, 0, 2, 3, 2, 0, 3, 0, 4, 1, 4, 2, 4, 3, 2, 4, 4, 1, 3, 2, 2, 2, 4, 3, 2, 0, 2, 4, 0, 0, 4, 1, 4, 4, 1, 4, 3, 1, 4, 1, 1, 0, 4, 3, 3, 4, 4, 1, 1, 3, 0, 1, 4, 4, 3, 1, 1, 2, 1, 3, 1, 3, 3, 1, 2, 0, 4, 2, 0, 3, 4, 1, 4, 0, 0, 3, 3, 3, 3, 0, 4, 1, 3, 3, 4, 1, 3, 3, 1, 1, 3, 0, 0, 1, 3, 2, 4, 4, 2, 4, 3, 4, 1, 4, 2, 2, 1, 1, 4, 4, 0, 0, 3, 0, 4, 3, 4, 1, 3, 4, 3, 2, 4, 2, 2, 0, 0, 0, 4, 3, 4, 2, 1, 1, 4, 1, 1, 4, 1, 3, 4, 1, 4, 1, 2, 3, 2, 2, 3, 2, 1, 3, 4, 2, 4] pubkeycol1334 = [4, 3, 0, 3, 4, 1, 0, 3, 2, 4, 4, 1, 3, 4, 3, 3, 3, 1, 2, 0, 4, 4, 2, 0, 4, 1, 1, 2, 0, 1, 0, 2, 4, 1, 1, 1, 0, 0, 4, 0, 4, 2, 4, 2, 2, 4, 3, 2, 0, 1, 0, 3, 2, 1, 4, 0, 4, 2, 1, 2, 3, 3, 2, 2, 1, 3, 1, 2, 0, 1, 2, 4, 4, 2, 2, 1, 0, 0, 4, 3, 0, 1, 1, 4, 4, 0, 1, 2, 4, 0, 3, 4, 2, 2, 1, 2, 0, 3, 1, 3, 4, 3, 0, 2, 1, 3, 3, 0, 2, 0, 2, 0, 1, 0, 4, 3, 2, 2, 3, 2, 4, 0, 2, 1, 3, 0, 1, 3, 1, 4, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 3, 3, 3, 2, 3, 1, 0, 1, 2, 4, 0, 0, 0, 4, 1, 0, 2, 3, 3, 3, 1, 1, 4, 4, 4, 0, 1, 0, 2, 1, 0, 2, 1, 3, 1, 2, 3, 0, 0, 1, 1, 4, 3, 3, 0, 1, 2, 1, 1, 3, 0, 4, 0, 0, 4, 3, 0, 4, 0, 0, 0, 4, 4, 1, 4, 4, 0, 4, 4, 1, 4, 3, 3, 2, 0, 1, 0, 1, 3, 4, 1, 1, 1, 2, 3, 4, 0, 1, 0, 4, 4, 2, 2, 0, 3, 3, 1, 1, 3, 2, 2, 0, 3, 2, 0, 0, 2, 2, 0, 1, 2, 3, 2, 4, 0, 0, 4, 3, 1, 0, 2, 1, 1, 4, 4, 1, 2, 1, 0, 2, 1, 4, 0, 0, 1, 2, 0, 2, 2, 0, 3, 1, 2, 1, 4, 0, 3, 4, 4, 0, 1, 0, 2, 4, 1, 1, 2, 0, 2, 3, 1, 2, 0, 3, 3, 0, 3, 4, 1, 1, 2, 4, 4, 1, 3, 3, 4, 1, 3, 3, 3, 3, 1, 2, 0, 4, 1, 0, 1, 3, 4, 3, 3, 4, 0, 4, 2, 0, 3, 1, 2, 0, 1, 1, 4, 3, 1, 1, 1, 2, 0, 2, 2, 3, 2, 0, 0, 0, 2, 0, 4, 2, 0, 1, 3, 3, 0, 2, 1, 4, 0, 2, 1, 0, 0, 1, 3, 4, 4, 0, 0, 1, 1, 4, 0, 1, 3, 2, 0, 0, 0, 4, 1, 3, 3, 4, 3] pubkeycol1335 = [3, 2, 2, 2, 4, 3, 1, 2, 1, 1, 4, 2, 0, 2, 0, 3, 4, 1, 3, 1, 3, 3, 4, 3, 0, 0, 2, 3, 4, 2, 1, 0, 1, 2, 3, 3, 3, 0, 3, 3, 0, 0, 0, 4, 0, 0, 0, 4, 1, 0, 0, 4, 0, 3, 0, 0, 3, 4, 1, 4, 0, 4, 3, 0, 0, 3, 3, 4, 4, 2, 3, 3, 1, 4, 1, 3, 3, 1, 3, 1, 2, 2, 2, 1, 4, 2, 4, 0, 2, 3, 4, 0, 1, 4, 4, 4, 2, 1, 1, 2, 0, 2, 4, 3, 1, 0, 0, 2, 4, 2, 2, 1, 4, 0, 4, 2, 1, 3, 0, 0, 0, 3, 0, 4, 3, 0, 0, 4, 1, 2, 3, 1, 4, 3, 2, 3, 4, 3, 1, 3, 4, 3, 1, 0, 1, 1, 0, 2, 0, 2, 0, 4, 3, 3, 1, 0, 0, 4, 4, 1, 3, 0, 3, 2, 2, 2, 0, 2, 1, 4, 0, 3, 3, 3, 2, 3, 2, 2, 3, 1, 4, 4, 3, 0, 2, 4, 2, 4, 1, 3, 1, 2, 0, 2, 1, 4, 1, 0, 0, 2, 2, 1, 0, 1, 4, 1, 2, 1, 4, 4, 1, 3, 4, 3, 4, 0, 4, 3, 1, 0, 0, 2, 1, 0, 2, 3, 1, 0, 2, 1, 2, 4, 1, 4, 1, 4, 2, 2, 2, 3, 3, 3, 1, 0, 4, 4, 4, 0, 2, 0, 0, 2, 0, 1, 3, 1, 3, 3, 4, 2, 3, 1, 3, 3, 1, 3, 2, 3, 3, 3, 3, 4, 1, 3, 3, 1, 4, 1, 4, 0, 0, 4, 2, 4, 2, 1, 3, 3, 0, 4, 1, 3, 0, 1, 3, 0, 4, 3, 3, 0, 1, 0, 3, 3, 4, 4, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 4, 3, 1, 0, 1, 3, 2, 2, 3, 1, 0, 4, 0, 2, 1, 0, 3, 4, 1, 4, 0, 2, 4, 3, 0, 0, 2, 1, 0, 4, 0, 3, 0, 0, 0, 1, 1, 0, 2, 3, 2, 4, 2, 2, 0, 0, 1, 3, 1, 2, 2, 3, 1, 2, 0, 1, 2, 1, 1, 3, 1, 3, 4, 2, 1, 1, 1, 4, 2, 0, 1, 2, 0, 2, 4, 4, 2, 3, 3, 4, 0] pubkeycol1336 = [2, 1, 4, 2, 1, 1, 1, 4, 0, 4, 4, 3, 2, 4, 2, 3, 2, 1, 1, 4, 1, 1, 2, 2, 0, 4, 1, 2, 4, 3, 2, 0, 2, 1, 4, 1, 0, 0, 2, 3, 1, 1, 2, 4, 0, 3, 1, 4, 1, 1, 0, 1, 0, 0, 1, 3, 4, 0, 0, 3, 0, 1, 2, 3, 1, 2, 1, 3, 3, 4, 1, 2, 0, 2, 3, 1, 1, 2, 1, 0, 0, 3, 0, 3, 4, 2, 4, 3, 2, 1, 3, 2, 1, 0, 3, 0, 2, 1, 1, 0, 3, 2, 0, 0, 2, 1, 4, 2, 1, 4, 1, 2, 3, 3, 2, 4, 4, 2, 0, 4, 1, 1, 3, 2, 3, 3, 1, 1, 2, 0, 3, 1, 2, 3, 0, 2, 1, 0, 4, 3, 0, 3, 0, 3, 0, 3, 4, 1, 3, 1, 4, 1, 4, 1, 1, 3, 4, 3, 4, 3, 3, 0, 0, 0, 4, 1, 2, 4, 3, 0, 0, 4, 1, 2, 1, 0, 0, 1, 1, 3, 4, 2, 1, 4, 2, 4, 1, 2, 0, 1, 2, 3, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 4, 0, 0, 0, 4, 4, 1, 4, 1, 1, 1, 1, 4, 1, 0, 4, 0, 4, 1, 0, 2, 1, 1, 2, 3, 0, 0, 3, 4, 0, 3, 2, 0, 1, 4, 1, 2, 2, 3, 4, 4, 1, 2, 0, 4, 0, 2, 3, 4, 3, 4, 1, 2, 2, 1, 2, 3, 4, 1, 3, 4, 1, 1, 1, 1, 0, 1, 0, 2, 3, 1, 2, 3, 3, 4, 2, 4, 1, 2, 0, 2, 4, 4, 2, 3, 1, 4, 4, 1, 3, 3, 3, 4, 2, 1, 0, 0, 0, 0, 4, 0, 4, 4, 4, 1, 3, 1, 1, 3, 4, 3, 1, 0, 4, 1, 3, 2, 1, 0, 2, 0, 0, 2, 2, 4, 4, 4, 3, 3, 3, 2, 0, 3, 4, 4, 4, 3, 4, 2, 1, 3, 3, 1, 1, 0, 3, 4, 4, 1, 4, 2, 0, 2, 1, 4, 4, 2, 2, 0, 1, 4, 1, 0, 4, 4, 4, 0, 3, 1, 0, 3, 2, 1, 1, 1, 0, 2, 4, 4, 1, 4, 0, 4, 3, 1, 3, 4, 0, 1, 2, 2, 1, 4, 1, 2] pubkeycol1337 = [1, 4, 4, 4, 0, 2, 3, 2, 4, 3, 0, 1, 1, 0, 1, 4, 4, 4, 0, 1, 4, 3, 4, 1, 3, 4, 3, 3, 4, 1, 1, 4, 0, 1, 2, 0, 4, 3, 4, 3, 4, 3, 4, 4, 0, 1, 4, 2, 1, 1, 2, 4, 2, 4, 0, 3, 3, 2, 4, 4, 2, 0, 3, 3, 4, 0, 0, 1, 0, 4, 1, 3, 1, 4, 4, 4, 0, 2, 3, 2, 4, 4, 2, 0, 3, 0, 2, 4, 3, 4, 4, 2, 2, 0, 3, 1, 2, 1, 1, 3, 2, 2, 0, 4, 1, 4, 2, 4, 0, 0, 4, 2, 0, 4, 4, 1, 0, 3, 0, 2, 1, 1, 3, 1, 0, 4, 0, 4, 1, 3, 3, 2, 1, 3, 2, 3, 3, 4, 2, 2, 0, 3, 3, 4, 0, 0, 2, 2, 3, 2, 2, 4, 0, 1, 0, 2, 0, 0, 0, 0, 3, 4, 2, 3, 4, 4, 1, 0, 1, 4, 2, 3, 4, 2, 0, 3, 1, 4, 3, 3, 2, 2, 0, 3, 2, 4, 0, 1, 1, 4, 1, 2, 3, 3, 2, 4, 0, 2, 4, 2, 4, 1, 3, 2, 3, 3, 0, 3, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 3, 2, 3, 0, 3, 2, 2, 1, 2, 0, 2, 0, 4, 0, 0, 4, 4, 0, 4, 4, 1, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 0, 1, 4, 2, 0, 2, 1, 2, 0, 3, 0, 1, 1, 4, 3, 3, 0, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 3, 1, 2, 4, 4, 4, 1, 2, 1, 0, 1, 3, 0, 0, 4, 2, 2, 4, 4, 1, 1, 3, 1, 3, 4, 2, 3, 3, 0, 2, 0, 3, 2, 0, 3, 3, 0, 0, 2, 1, 1, 0, 0, 2, 0, 4, 2, 0, 3, 4, 0, 0, 1, 4, 1, 1, 2, 1, 1, 1, 0, 1, 1, 3, 1, 4, 0, 3, 1, 0, 3, 3, 4, 1, 2, 4, 1, 1, 0, 4, 3, 3, 1, 2, 2, 2, 4, 4, 2, 4, 0, 2, 0, 0, 1, 2, 0, 3, 0, 4, 3, 1, 2, 3, 1, 4, 4, 1, 0, 2] pubkeycol1338 = [0, 3, 0, 2, 4, 4, 2, 3, 4, 4, 3, 3, 3, 4, 4, 3, 1, 3, 2, 3, 0, 2, 0, 3, 1, 0, 1, 3, 0, 0, 2, 1, 2, 2, 3, 2, 1, 4, 4, 0, 0, 3, 3, 1, 0, 2, 3, 0, 3, 2, 0, 3, 4, 0, 0, 0, 4, 4, 0, 1, 2, 1, 0, 1, 2, 4, 2, 3, 1, 1, 0, 0, 2, 1, 0, 2, 2, 4, 2, 3, 1, 1, 4, 2, 1, 2, 1, 3, 3, 3, 2, 3, 0, 3, 3, 3, 0, 4, 3, 0, 3, 3, 1, 0, 3, 0, 1, 4, 3, 3, 0, 4, 4, 3, 1, 2, 0, 3, 2, 2, 0, 0, 2, 0, 4, 2, 1, 0, 4, 3, 0, 3, 2, 4, 4, 3, 3, 2, 1, 4, 4, 4, 2, 4, 1, 1, 0, 0, 3, 4, 0, 2, 4, 4, 3, 4, 4, 0, 2, 1, 1, 1, 0, 1, 0, 2, 3, 4, 4, 2, 4, 1, 3, 2, 0, 4, 0, 3, 3, 4, 4, 0, 0, 1, 1, 1, 2, 3, 3, 4, 1, 2, 2, 3, 4, 0, 0, 4, 4, 0, 4, 3, 4, 0, 4, 0, 4, 4, 1, 0, 1, 3, 2, 4, 1, 1, 2, 2, 4, 4, 4, 4, 4, 0, 4, 1, 3, 1, 0, 2, 2, 1, 2, 0, 0, 0, 3, 0, 3, 4, 2, 2, 4, 3, 4, 4, 3, 0, 1, 3, 1, 1, 2, 0, 4, 2, 4, 4, 1, 2, 2, 4, 2, 3, 0, 4, 0, 3, 3, 4, 1, 2, 4, 1, 4, 4, 4, 3, 0, 0, 0, 1, 2, 0, 1, 2, 3, 2, 4, 3, 4, 1, 3, 2, 0, 1, 1, 0, 0, 4, 4, 2, 1, 2, 3, 0, 2, 4, 3, 0, 1, 3, 0, 4, 2, 3, 3, 3, 2, 4, 1, 0, 2, 1, 0, 4, 3, 0, 2, 2, 1, 2, 2, 0, 4, 1, 2, 1, 3, 2, 4, 4, 1, 0, 3, 1, 3, 2, 4, 3, 0, 1, 2, 1, 3, 2, 4, 4, 2, 2, 2, 3, 4, 1, 2, 2, 1, 4, 2, 4, 0, 4, 3, 2, 2, 0, 0, 0, 1, 4, 0, 1, 4, 3, 4, 2, 1, 2, 3, 4, 4, 4, 4, 3, 2, 4, 1, 3, 1, 0] pubkeycol1339 = [1, 1, 4, 0, 2, 2, 1, 0, 0, 2, 3, 2, 3, 3, 4, 3, 3, 1, 2, 1, 4, 4, 2, 2, 4, 1, 1, 4, 3, 2, 2, 3, 4, 2, 2, 2, 0, 1, 1, 4, 2, 4, 2, 0, 3, 0, 3, 4, 3, 0, 4, 2, 4, 3, 1, 3, 3, 3, 2, 4, 2, 0, 4, 0, 4, 1, 0, 2, 4, 4, 1, 0, 2, 0, 1, 2, 1, 3, 0, 2, 4, 2, 1, 3, 2, 4, 0, 4, 2, 1, 2, 4, 0, 0, 3, 0, 1, 2, 2, 1, 0, 3, 3, 3, 4, 1, 1, 3, 3, 3, 0, 0, 3, 3, 1, 0, 1, 2, 1, 0, 4, 1, 4, 0, 0, 1, 3, 3, 1, 4, 4, 1, 4, 4, 0, 1, 0, 3, 2, 1, 4, 1, 0, 4, 1, 2, 0, 0, 1, 1, 1, 1, 4, 0, 3, 2, 3, 2, 0, 4, 2, 1, 3, 3, 4, 0, 2, 2, 3, 3, 1, 4, 4, 3, 0, 3, 3, 0, 2, 0, 2, 1, 3, 4, 1, 0, 4, 1, 3, 3, 3, 3, 0, 3, 4, 3, 3, 3, 3, 2, 4, 4, 2, 3, 4, 0, 4, 0, 4, 3, 4, 4, 1, 3, 2, 0, 2, 2, 2, 4, 3, 4, 2, 3, 2, 1, 1, 2, 2, 4, 1, 1, 4, 4, 2, 0, 2, 3, 4, 2, 3, 1, 0, 3, 2, 2, 1, 4, 4, 2, 1, 2, 2, 4, 2, 2, 1, 0, 4, 4, 3, 3, 4, 0, 2, 4, 2, 2, 2, 3, 3, 1, 0, 1, 2, 4, 2, 3, 0, 3, 4, 3, 4, 3, 1, 3, 3, 4, 3, 0, 4, 0, 1, 4, 0, 3, 4, 0, 1, 4, 3, 4, 3, 3, 4, 3, 2, 3, 3, 4, 1, 0, 2, 0, 4, 4, 3, 4, 0, 1, 0, 4, 3, 1, 4, 0, 3, 4, 3, 3, 3, 1, 2, 3, 2, 3, 1, 4, 0, 4, 4, 4, 3, 4, 0, 1, 1, 1, 1, 1, 2, 4, 0, 2, 4, 2, 4, 4, 2, 1, 3, 1, 4, 2, 0, 0, 2, 4, 4, 3, 0, 4, 4, 3, 2, 1, 2, 3, 4, 4, 1, 1, 0, 2, 0, 1, 3, 3, 0, 3, 3, 0, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol1340 = [2, 2, 3, 4, 0, 1, 2, 1, 2, 0, 4, 3, 2, 3, 0, 2, 3, 1, 2, 4, 2, 1, 2, 1, 4, 3, 4, 1, 0, 4, 0, 4, 3, 3, 3, 2, 3, 0, 4, 1, 4, 3, 2, 1, 4, 2, 2, 1, 2, 4, 1, 2, 3, 4, 1, 4, 1, 2, 1, 1, 1, 2, 1, 4, 0, 0, 3, 0, 4, 2, 1, 4, 4, 4, 1, 1, 4, 0, 2, 3, 0, 4, 3, 2, 0, 2, 0, 3, 1, 3, 3, 0, 3, 4, 2, 0, 4, 2, 4, 2, 4, 1, 0, 0, 0, 2, 4, 2, 1, 3, 3, 1, 4, 2, 0, 4, 0, 4, 0, 1, 0, 0, 1, 3, 2, 0, 1, 3, 2, 2, 3, 0, 2, 4, 0, 0, 1, 2, 4, 4, 1, 0, 0, 0, 4, 4, 1, 2, 3, 2, 0, 0, 2, 0, 1, 1, 3, 2, 3, 4, 3, 4, 4, 1, 2, 4, 2, 2, 2, 2, 2, 2, 0, 2, 2, 4, 0, 2, 0, 0, 4, 3, 2, 3, 0, 2, 4, 4, 3, 3, 0, 4, 3, 2, 2, 3, 4, 0, 0, 4, 4, 0, 3, 3, 1, 0, 1, 4, 2, 1, 0, 2, 4, 3, 3, 0, 0, 4, 4, 1, 3, 2, 3, 4, 1, 3, 0, 3, 0, 0, 2, 1, 3, 1, 1, 4, 4, 1, 2, 2, 0, 0, 4, 1, 1, 4, 3, 3, 2, 2, 2, 1, 3, 3, 4, 0, 4, 1, 1, 0, 0, 0, 3, 0, 0, 4, 4, 2, 2, 4, 2, 2, 0, 3, 1, 3, 0, 4, 2, 0, 3, 0, 1, 1, 1, 2, 0, 4, 1, 2, 3, 3, 4, 2, 3, 2, 0, 2, 1, 3, 3, 3, 1, 2, 0, 2, 1, 4, 2, 1, 3, 2, 4, 0, 2, 4, 0, 1, 3, 4, 1, 0, 1, 1, 3, 3, 1, 0, 2, 3, 3, 3, 3, 3, 1, 3, 3, 2, 1, 1, 0, 3, 1, 4, 1, 3, 4, 3, 4, 3, 4, 0, 1, 0, 2, 3, 1, 0, 0, 3, 4, 3, 1, 3, 0, 0, 1, 0, 3, 0, 3, 0, 3, 3, 4, 3, 0, 4, 4, 4, 2, 4, 0, 4, 2, 0, 4, 4, 3, 2, 2, 4, 2, 2, 2, 0, 4, 3, 3, 3] pubkeycol1341 = [1, 1, 1, 2, 0, 0, 0, 1, 4, 1, 2, 1, 2, 3, 0, 1, 4, 0, 2, 2, 2, 2, 2, 4, 2, 4, 1, 3, 4, 0, 0, 2, 1, 4, 1, 3, 1, 4, 2, 1, 3, 2, 1, 1, 0, 0, 3, 0, 1, 0, 4, 1, 3, 1, 3, 1, 2, 2, 0, 4, 0, 0, 1, 0, 2, 4, 4, 1, 0, 3, 4, 1, 0, 3, 4, 2, 0, 3, 4, 2, 1, 1, 4, 2, 2, 3, 3, 3, 2, 0, 4, 0, 0, 0, 3, 0, 3, 0, 0, 0, 2, 4, 0, 0, 0, 4, 1, 0, 1, 0, 1, 2, 0, 4, 0, 3, 2, 4, 3, 4, 2, 2, 3, 4, 2, 3, 1, 3, 0, 0, 1, 2, 0, 4, 4, 0, 0, 0, 1, 3, 0, 2, 3, 0, 3, 4, 1, 3, 3, 3, 0, 0, 0, 1, 4, 4, 1, 1, 2, 3, 3, 3, 4, 4, 0, 0, 1, 2, 2, 4, 0, 0, 2, 1, 3, 2, 1, 2, 2, 0, 2, 0, 3, 0, 2, 3, 2, 4, 2, 2, 3, 1, 4, 0, 2, 4, 2, 0, 3, 4, 3, 3, 4, 1, 1, 1, 0, 4, 1, 4, 2, 1, 2, 4, 4, 3, 0, 2, 3, 3, 1, 0, 1, 4, 1, 3, 3, 2, 2, 3, 2, 1, 4, 2, 1, 1, 3, 2, 0, 1, 0, 2, 1, 1, 2, 4, 0, 3, 4, 2, 1, 2, 0, 0, 4, 2, 1, 1, 3, 4, 0, 3, 0, 3, 4, 2, 2, 0, 1, 2, 2, 0, 3, 0, 2, 0, 1, 2, 4, 0, 0, 2, 3, 4, 1, 0, 2, 0, 0, 0, 1, 4, 3, 3, 4, 3, 0, 1, 0, 1, 1, 4, 3, 2, 2, 3, 4, 2, 4, 3, 0, 2, 0, 2, 0, 0, 3, 3, 3, 2, 4, 3, 1, 1, 3, 1, 2, 3, 4, 0, 0, 2, 2, 2, 4, 2, 1, 0, 2, 4, 0, 4, 2, 0, 4, 4, 1, 0, 2, 3, 4, 2, 0, 3, 2, 0, 1, 0, 2, 2, 3, 4, 3, 3, 4, 4, 2, 4, 1, 4, 3, 0, 2, 1, 2, 3, 3, 3, 0, 4, 1, 2, 0, 3, 3, 2, 4, 0, 2, 0, 4, 3, 3, 0, 4, 2, 2, 0, 3, 3] pubkeycol1342 = [2, 0, 2, 1, 2, 2, 0, 2, 4, 4, 0, 1, 0, 2, 1, 3, 0, 1, 4, 2, 4, 3, 4, 4, 3, 1, 1, 1, 1, 2, 3, 3, 3, 2, 0, 3, 2, 0, 3, 4, 0, 3, 3, 1, 3, 3, 0, 0, 3, 1, 4, 0, 1, 4, 1, 1, 1, 3, 3, 3, 3, 2, 1, 4, 3, 3, 2, 0, 2, 2, 0, 3, 0, 3, 1, 4, 1, 1, 3, 3, 0, 1, 3, 0, 1, 1, 1, 4, 3, 1, 1, 2, 1, 1, 4, 1, 0, 3, 3, 2, 2, 0, 0, 1, 1, 3, 2, 4, 4, 4, 2, 2, 2, 1, 2, 2, 1, 1, 4, 2, 4, 3, 2, 0, 0, 4, 1, 1, 3, 4, 4, 3, 0, 3, 3, 3, 4, 0, 1, 4, 4, 0, 3, 2, 4, 2, 1, 3, 0, 0, 0, 0, 4, 3, 4, 0, 1, 2, 3, 0, 0, 0, 3, 1, 0, 3, 2, 4, 0, 3, 4, 0, 3, 4, 0, 1, 3, 0, 4, 0, 0, 2, 2, 4, 4, 1, 1, 2, 1, 1, 0, 4, 1, 1, 3, 4, 2, 0, 2, 0, 0, 0, 1, 2, 2, 3, 1, 0, 2, 0, 2, 0, 1, 4, 4, 2, 4, 2, 0, 1, 4, 4, 0, 0, 3, 3, 0, 2, 2, 3, 1, 1, 3, 1, 2, 3, 2, 1, 0, 2, 2, 4, 3, 4, 1, 4, 3, 1, 3, 2, 1, 2, 1, 3, 3, 0, 1, 2, 0, 3, 0, 0, 1, 0, 2, 2, 3, 0, 3, 1, 2, 0, 2, 1, 4, 2, 2, 4, 3, 4, 1, 0, 4, 3, 3, 0, 1, 2, 0, 1, 4, 4, 3, 0, 0, 0, 2, 4, 1, 4, 0, 1, 4, 0, 4, 0, 0, 1, 3, 1, 4, 3, 3, 4, 4, 1, 4, 1, 1, 3, 0, 4, 2, 2, 4, 1, 3, 4, 2, 0, 3, 2, 0, 4, 4, 2, 0, 4, 0, 0, 4, 0, 1, 1, 3, 2, 1, 0, 3, 2, 2, 3, 4, 0, 1, 2, 1, 1, 2, 0, 4, 0, 2, 2, 0, 3, 2, 0, 0, 4, 1, 0, 0, 3, 4, 2, 1, 3, 2, 0, 3, 0, 4, 3, 2, 2, 2, 0, 0, 2, 3, 3, 0, 1, 4, 2, 2, 3, 2, 4] pubkeycol1343 = [2, 4, 0, 4, 1, 2, 4, 4, 2, 0, 4, 4, 4, 2, 2, 4, 1, 4, 3, 2, 0, 3, 4, 0, 0, 0, 4, 4, 0, 1, 0, 0, 4, 2, 1, 3, 4, 2, 4, 2, 0, 1, 3, 3, 0, 2, 4, 2, 2, 3, 0, 0, 2, 0, 3, 1, 3, 4, 1, 0, 2, 2, 4, 4, 1, 1, 4, 1, 3, 4, 2, 0, 3, 2, 3, 1, 1, 0, 4, 1, 2, 0, 4, 2, 4, 2, 3, 4, 0, 0, 4, 2, 4, 4, 2, 1, 4, 1, 0, 4, 1, 2, 0, 4, 0, 0, 0, 0, 2, 0, 1, 3, 1, 1, 2, 2, 3, 4, 4, 2, 1, 0, 3, 3, 4, 3, 4, 2, 0, 4, 3, 0, 3, 0, 4, 1, 2, 4, 4, 4, 2, 2, 3, 1, 1, 3, 0, 1, 2, 3, 2, 3, 2, 1, 3, 4, 0, 0, 3, 2, 3, 0, 1, 1, 1, 1, 0, 2, 4, 0, 4, 1, 3, 2, 2, 3, 0, 4, 2, 0, 1, 1, 2, 3, 0, 3, 0, 3, 1, 0, 3, 4, 3, 1, 3, 0, 1, 4, 4, 4, 4, 3, 4, 4, 3, 3, 0, 3, 3, 4, 3, 1, 0, 4, 3, 4, 2, 2, 0, 2, 0, 4, 3, 3, 2, 1, 4, 3, 0, 4, 0, 4, 1, 3, 3, 4, 0, 4, 1, 0, 1, 1, 2, 0, 4, 0, 1, 4, 4, 0, 4, 0, 4, 4, 0, 4, 2, 3, 0, 4, 4, 4, 1, 0, 2, 2, 2, 3, 0, 2, 3, 4, 0, 4, 1, 3, 2, 2, 4, 4, 3, 2, 1, 0, 1, 4, 1, 1, 4, 3, 4, 2, 0, 1, 4, 3, 0, 0, 0, 4, 4, 2, 1, 0, 0, 2, 1, 3, 0, 3, 4, 0, 1, 3, 4, 1, 4, 0, 4, 1, 0, 1, 2, 3, 3, 2, 2, 1, 1, 4, 0, 2, 0, 3, 1, 0, 0, 3, 4, 3, 0, 0, 3, 0, 0, 2, 2, 4, 4, 2, 0, 2, 3, 0, 4, 1, 3, 0, 1, 1, 1, 3, 4, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 4, 1, 2, 0, 0, 3, 4, 3, 1, 2, 3, 1, 1, 4, 1, 3, 0, 2, 0, 2, 2, 1, 2] pubkeycol1344 = [1, 3, 3, 0, 1, 0, 0, 0, 4, 2, 3, 3, 4, 3, 1, 4, 2, 4, 0, 3, 1, 2, 3, 2, 3, 1, 4, 0, 2, 0, 0, 4, 4, 3, 2, 0, 0, 1, 3, 4, 1, 1, 3, 4, 1, 3, 1, 3, 1, 2, 2, 1, 3, 4, 0, 0, 1, 1, 3, 1, 0, 3, 3, 1, 3, 2, 0, 4, 1, 2, 4, 4, 4, 1, 2, 4, 4, 1, 2, 2, 2, 4, 0, 1, 0, 1, 1, 3, 1, 1, 4, 1, 4, 0, 1, 3, 1, 0, 4, 3, 1, 2, 1, 4, 3, 1, 2, 0, 4, 0, 0, 4, 1, 2, 2, 1, 4, 0, 1, 1, 3, 3, 2, 4, 2, 3, 2, 2, 4, 4, 2, 2, 3, 4, 3, 2, 3, 1, 3, 4, 2, 0, 1, 4, 1, 4, 0, 3, 0, 4, 1, 3, 1, 4, 3, 2, 3, 2, 1, 0, 4, 3, 3, 2, 1, 4, 4, 4, 2, 0, 0, 0, 3, 0, 1, 0, 2, 1, 4, 1, 1, 0, 2, 4, 2, 2, 3, 0, 4, 1, 2, 2, 1, 2, 4, 2, 2, 3, 4, 0, 2, 0, 4, 1, 4, 0, 2, 3, 2, 1, 4, 4, 2, 2, 4, 3, 3, 1, 1, 1, 0, 4, 4, 3, 3, 1, 4, 3, 4, 1, 0, 2, 0, 1, 2, 0, 4, 4, 1, 3, 1, 4, 2, 3, 3, 4, 2, 4, 4, 4, 0, 0, 1, 0, 4, 3, 1, 4, 2, 4, 3, 4, 0, 2, 0, 3, 2, 1, 3, 4, 4, 0, 1, 1, 4, 0, 3, 0, 2, 4, 3, 4, 3, 3, 3, 1, 1, 1, 3, 1, 2, 3, 1, 2, 1, 4, 4, 0, 0, 0, 0, 4, 0, 1, 2, 3, 0, 3, 0, 0, 2, 4, 3, 2, 4, 0, 2, 3, 3, 4, 1, 3, 2, 0, 4, 4, 0, 3, 1, 4, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 4, 0, 1, 0, 1, 3, 0, 2, 4, 0, 0, 2, 0, 1, 4, 0, 2, 1, 1, 4, 1, 4, 3, 4, 2, 3, 3, 4, 1, 1, 3, 4, 3, 3, 3, 3, 2, 4, 0, 2, 3, 3, 4, 3, 2, 4, 3, 1, 2, 2, 0, 2, 4, 1, 3, 4, 4, 4, 3, 3] pubkeycol1345 = [0, 1, 0, 1, 4, 1, 3, 4, 1, 0, 1, 0, 2, 2, 4, 0, 3, 3, 2, 2, 0, 4, 3, 0, 3, 0, 4, 3, 2, 3, 0, 2, 2, 2, 1, 1, 4, 2, 2, 0, 4, 2, 2, 2, 3, 3, 2, 0, 0, 1, 4, 1, 3, 4, 2, 4, 4, 4, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 3, 3, 1, 0, 0, 0, 3, 0, 0, 4, 4, 0, 3, 0, 3, 4, 2, 1, 2, 4, 2, 4, 3, 1, 2, 2, 3, 4, 4, 0, 0, 4, 1, 1, 1, 4, 3, 0, 4, 2, 3, 0, 0, 1, 0, 0, 0, 3, 2, 3, 4, 1, 0, 1, 1, 1, 2, 4, 2, 1, 0, 0, 3, 0, 1, 0, 2, 4, 4, 2, 3, 0, 3, 4, 3, 3, 4, 4, 1, 0, 4, 0, 2, 2, 4, 2, 4, 4, 3, 4, 2, 1, 2, 1, 1, 4, 4, 2, 1, 0, 4, 3, 2, 1, 1, 1, 3, 2, 3, 3, 2, 0, 0, 4, 2, 3, 4, 2, 3, 3, 3, 1, 1, 1, 0, 4, 4, 2, 2, 1, 4, 1, 1, 2, 0, 1, 2, 4, 1, 3, 1, 0, 4, 3, 0, 0, 2, 3, 1, 2, 0, 3, 4, 0, 4, 4, 0, 0, 4, 2, 4, 1, 2, 3, 0, 2, 1, 3, 3, 0, 0, 1, 3, 3, 1, 2, 3, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 3, 3, 3, 2, 2, 1, 1, 4, 2, 4, 1, 3, 0, 0, 1, 0, 2, 0, 1, 2, 1, 4, 2, 2, 0, 1, 3, 2, 4, 4, 3, 1, 1, 1, 0, 4, 2, 4, 3, 1, 4, 2, 2, 4, 4, 4, 0, 3, 0, 0, 1, 2, 4, 3, 0, 2, 2, 0, 1, 4, 2, 1, 1, 4, 0, 2, 2, 2, 3, 4, 4, 4, 2, 1, 1, 1, 1, 1, 4, 4, 3, 2, 3, 2, 2, 4, 4, 2, 0, 4, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 3, 1, 3, 4, 2, 3, 3, 2, 1, 2, 3, 0, 3, 4, 2, 1, 2, 0, 3, 4, 2, 0, 4, 0, 0, 2, 0, 3, 0, 4, 4, 1, 1, 3, 3, 0, 4, 4, 4, 3] pubkeycol1346 = [2, 4, 4, 4, 0, 2, 0, 4, 3, 3, 3, 3, 0, 4, 2, 1, 2, 3, 1, 1, 1, 1, 3, 4, 0, 4, 4, 1, 2, 4, 1, 2, 1, 3, 1, 1, 2, 2, 1, 0, 3, 0, 0, 1, 4, 3, 1, 0, 4, 4, 2, 3, 3, 3, 2, 3, 2, 0, 2, 1, 3, 4, 3, 4, 4, 3, 4, 3, 1, 0, 1, 3, 0, 3, 2, 3, 0, 2, 3, 2, 3, 1, 0, 4, 4, 4, 3, 0, 4, 3, 3, 2, 2, 4, 3, 2, 3, 2, 3, 0, 0, 4, 4, 0, 1, 1, 3, 1, 4, 0, 2, 2, 1, 3, 4, 0, 4, 1, 3, 3, 1, 0, 2, 1, 3, 3, 0, 3, 2, 3, 2, 0, 0, 0, 2, 4, 3, 3, 1, 4, 1, 4, 0, 1, 1, 4, 2, 1, 1, 2, 3, 2, 1, 4, 3, 4, 0, 3, 3, 0, 0, 0, 3, 3, 4, 4, 0, 1, 0, 4, 0, 1, 3, 0, 1, 3, 3, 1, 1, 4, 0, 0, 3, 4, 1, 4, 0, 4, 2, 1, 3, 4, 3, 0, 0, 3, 4, 1, 4, 0, 2, 2, 1, 0, 3, 3, 4, 1, 3, 0, 4, 0, 3, 0, 1, 4, 3, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 0, 2, 3, 0, 1, 4, 0, 0, 0, 1, 3, 3, 2, 2, 2, 2, 3, 3, 3, 1, 3, 3, 4, 4, 1, 2, 3, 1, 1, 4, 1, 0, 4, 4, 1, 4, 4, 0, 4, 3, 3, 0, 0, 4, 0, 1, 2, 1, 4, 0, 4, 0, 3, 0, 2, 2, 4, 3, 4, 2, 2, 3, 2, 3, 2, 2, 2, 1, 4, 0, 2, 0, 4, 2, 3, 0, 2, 2, 0, 1, 2, 1, 4, 4, 2, 4, 4, 4, 0, 1, 1, 3, 2, 0, 4, 4, 0, 1, 2, 3, 1, 3, 3, 4, 2, 2, 3, 1, 4, 2, 1, 0, 4, 2, 4, 0, 4, 3, 1, 1, 3, 0, 1, 3, 4, 0, 2, 2, 4, 1, 1, 2, 3, 3, 4, 1, 0, 4, 3, 0, 4, 1, 4, 3, 1, 1, 3, 0, 4, 1, 1, 0, 3, 0, 2, 0, 3, 4, 1, 0, 2, 4, 4, 3, 0, 3, 3, 2, 0, 4, 1, 3, 1] pubkeycol1347 = [0, 3, 2, 0, 3, 0, 1, 4, 0, 3, 3, 3, 2, 3, 1, 4, 0, 1, 4, 3, 2, 1, 0, 4, 2, 3, 0, 2, 0, 0, 0, 1, 3, 3, 2, 4, 2, 2, 4, 1, 2, 2, 4, 1, 1, 3, 3, 3, 0, 4, 3, 2, 0, 3, 1, 0, 3, 0, 1, 4, 0, 1, 4, 1, 3, 1, 2, 0, 3, 0, 0, 0, 2, 4, 4, 2, 4, 2, 3, 0, 0, 1, 4, 0, 2, 2, 0, 0, 2, 4, 3, 4, 1, 0, 1, 0, 3, 0, 2, 1, 4, 3, 1, 3, 0, 3, 1, 2, 3, 3, 0, 2, 2, 2, 2, 0, 1, 4, 4, 0, 1, 3, 3, 3, 2, 3, 2, 1, 3, 0, 4, 4, 3, 2, 4, 3, 2, 0, 4, 3, 2, 4, 3, 0, 1, 4, 2, 4, 0, 3, 1, 1, 2, 4, 0, 0, 2, 2, 2, 0, 2, 3, 1, 2, 1, 4, 0, 1, 1, 1, 1, 4, 3, 1, 2, 0, 1, 1, 0, 0, 2, 3, 3, 3, 3, 2, 2, 0, 4, 0, 2, 3, 4, 2, 1, 4, 3, 2, 1, 1, 0, 1, 1, 3, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 1, 0, 1, 3, 4, 3, 2, 1, 0, 0, 1, 4, 1, 0, 1, 1, 4, 3, 4, 3, 3, 3, 2, 0, 3, 3, 3, 4, 2, 1, 3, 2, 1, 0, 0, 1, 4, 3, 0, 0, 1, 1, 4, 3, 3, 1, 3, 0, 2, 4, 0, 2, 4, 1, 4, 3, 1, 2, 3, 1, 4, 0, 3, 3, 1, 4, 1, 0, 0, 3, 0, 4, 1, 3, 2, 4, 0, 4, 2, 3, 2, 4, 1, 4, 3, 0, 2, 1, 0, 1, 2, 3, 0, 3, 2, 4, 1, 2, 4, 4, 2, 1, 0, 2, 0, 4, 3, 0, 0, 1, 4, 3, 3, 1, 3, 0, 4, 4, 4, 1, 2, 2, 3, 3, 4, 3, 1, 1, 0, 3, 0, 3, 3, 1, 3, 1, 3, 4, 4, 2, 3, 0, 0, 2, 3, 2, 1, 3, 3, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 4, 0, 1, 3, 2, 1, 2, 2, 2, 3, 2, 1, 1, 1, 0, 2, 4, 2, 4, 1, 3, 2, 0, 0, 1] pubkeycol1348 = [1, 2, 4, 3, 3, 2, 2, 1, 0, 0, 2, 4, 3, 3, 3, 4, 3, 3, 1, 4, 3, 3, 2, 2, 2, 4, 3, 4, 0, 3, 4, 3, 3, 4, 1, 0, 3, 2, 1, 0, 0, 1, 2, 3, 4, 2, 0, 1, 3, 4, 0, 4, 0, 3, 0, 2, 4, 2, 2, 0, 1, 4, 3, 0, 2, 1, 2, 1, 2, 4, 4, 4, 3, 4, 3, 3, 4, 4, 0, 4, 1, 1, 4, 3, 0, 1, 4, 4, 0, 3, 2, 3, 3, 0, 3, 2, 3, 3, 0, 1, 3, 4, 2, 4, 4, 3, 2, 3, 3, 4, 4, 4, 1, 1, 2, 2, 0, 4, 2, 1, 0, 1, 2, 3, 3, 1, 2, 2, 2, 3, 2, 3, 4, 0, 3, 4, 1, 4, 2, 0, 4, 4, 1, 1, 0, 3, 4, 2, 3, 0, 1, 0, 1, 3, 1, 2, 0, 4, 4, 2, 3, 1, 2, 0, 4, 4, 1, 4, 0, 0, 2, 1, 4, 4, 2, 4, 1, 0, 3, 1, 4, 3, 1, 0, 4, 0, 3, 0, 0, 3, 0, 3, 0, 1, 1, 0, 0, 4, 3, 1, 2, 2, 4, 1, 3, 3, 1, 3, 2, 1, 0, 0, 3, 1, 3, 2, 4, 1, 3, 4, 0, 0, 4, 3, 2, 1, 3, 3, 4, 4, 1, 4, 3, 4, 0, 4, 3, 4, 4, 1, 2, 4, 3, 4, 1, 0, 1, 2, 3, 0, 4, 3, 4, 3, 3, 1, 2, 3, 3, 0, 1, 0, 1, 1, 0, 3, 2, 0, 1, 2, 4, 3, 2, 0, 1, 0, 0, 0, 3, 3, 2, 1, 0, 1, 0, 0, 2, 3, 0, 0, 2, 1, 3, 2, 3, 3, 3, 4, 0, 4, 3, 4, 3, 0, 2, 1, 2, 3, 3, 2, 4, 0, 2, 1, 0, 3, 4, 4, 2, 2, 0, 4, 2, 1, 2, 1, 2, 3, 0, 3, 0, 4, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 0, 0, 2, 2, 3, 0, 2, 0, 2, 1, 2, 3, 2, 3, 0, 4, 1, 2, 0, 4, 0, 3, 3, 2, 4, 2, 3, 4, 4, 1, 3, 0, 2, 4, 2, 2, 2, 1, 1, 2, 3, 0, 2, 2, 2, 3, 0, 3, 2, 3, 3, 1, 4, 1, 2, 4] pubkeycol1349 = [4, 2, 4, 2, 0, 3, 0, 3, 1, 1, 3, 1, 4, 3, 0, 1, 3, 2, 4, 4, 1, 1, 0, 2, 4, 2, 2, 3, 1, 4, 2, 3, 2, 3, 0, 0, 3, 1, 1, 2, 0, 4, 2, 2, 0, 4, 2, 4, 4, 4, 2, 2, 4, 0, 1, 0, 4, 3, 4, 3, 1, 3, 1, 3, 3, 3, 3, 1, 1, 4, 3, 4, 3, 1, 1, 4, 2, 1, 0, 4, 0, 4, 3, 1, 3, 4, 2, 3, 2, 0, 0, 4, 4, 4, 1, 0, 4, 1, 1, 0, 0, 4, 3, 0, 3, 0, 2, 4, 0, 1, 2, 1, 2, 0, 3, 1, 2, 4, 4, 4, 4, 2, 2, 0, 3, 2, 1, 1, 4, 3, 4, 0, 1, 0, 4, 2, 2, 4, 2, 2, 2, 3, 1, 0, 2, 0, 2, 2, 1, 1, 2, 4, 1, 0, 2, 0, 3, 3, 4, 4, 0, 4, 0, 2, 2, 1, 3, 4, 3, 0, 4, 0, 4, 3, 0, 1, 2, 1, 2, 3, 3, 2, 4, 1, 4, 0, 0, 3, 4, 3, 4, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 3, 1, 3, 1, 2, 4, 2, 2, 1, 0, 4, 0, 1, 4, 3, 4, 3, 0, 1, 4, 2, 4, 4, 3, 2, 1, 3, 0, 4, 4, 2, 0, 0, 3, 2, 0, 1, 4, 1, 2, 1, 1, 2, 3, 2, 2, 4, 4, 4, 1, 4, 1, 2, 2, 3, 0, 1, 2, 0, 4, 2, 4, 0, 3, 4, 4, 1, 0, 0, 0, 2, 2, 1, 0, 1, 3, 1, 2, 1, 4, 4, 1, 0, 3, 2, 3, 0, 1, 2, 0, 3, 4, 3, 1, 3, 1, 0, 1, 3, 4, 1, 4, 2, 3, 4, 0, 4, 2, 4, 3, 3, 2, 3, 0, 3, 4, 4, 3, 2, 1, 2, 0, 4, 3, 0, 1, 0, 2, 3, 1, 2, 0, 4, 2, 1, 3, 4, 4, 3, 1, 2, 4, 0, 4, 0, 3, 4, 4, 3, 2, 1, 3, 1, 3, 0, 3, 0, 1, 1, 2, 2, 0, 3, 3, 2, 4, 1, 0, 1, 3, 0, 1, 1, 1, 2, 4, 0, 0, 0, 2, 3, 0, 4, 1, 3, 0, 1, 3, 0, 2, 4, 2, 1, 3, 4, 2, 3, 3, 1] pubkeycol1350 = [1, 4, 1, 4, 1, 2, 4, 3, 4, 0, 2, 1, 2, 1, 1, 4, 0, 0, 4, 2, 3, 4, 0, 2, 0, 0, 1, 4, 1, 3, 3, 1, 4, 2, 1, 0, 0, 4, 1, 3, 0, 4, 1, 2, 0, 1, 3, 3, 1, 4, 3, 0, 2, 4, 4, 2, 4, 0, 3, 3, 1, 3, 1, 1, 1, 4, 3, 0, 3, 1, 3, 1, 1, 1, 3, 1, 0, 3, 1, 2, 0, 0, 0, 4, 0, 1, 4, 3, 0, 2, 1, 0, 1, 1, 0, 1, 2, 3, 2, 0, 1, 0, 3, 4, 2, 2, 1, 2, 4, 2, 2, 0, 1, 4, 3, 2, 4, 2, 1, 3, 4, 3, 1, 0, 2, 3, 0, 0, 0, 3, 4, 1, 4, 3, 4, 4, 1, 1, 2, 4, 1, 4, 1, 4, 4, 4, 2, 3, 0, 4, 2, 2, 3, 4, 2, 1, 2, 2, 1, 1, 1, 1, 4, 4, 2, 0, 4, 0, 2, 0, 3, 1, 1, 4, 2, 0, 1, 1, 2, 2, 0, 3, 3, 0, 4, 3, 0, 0, 2, 1, 4, 0, 4, 2, 0, 4, 2, 3, 0, 3, 2, 4, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 4, 1, 2, 2, 4, 3, 4, 1, 0, 0, 0, 2, 0, 0, 2, 4, 1, 4, 4, 0, 0, 3, 3, 4, 2, 1, 3, 4, 3, 2, 4, 1, 0, 2, 3, 0, 0, 2, 3, 0, 0, 4, 2, 0, 0, 3, 4, 1, 0, 4, 1, 4, 3, 2, 3, 4, 4, 3, 1, 4, 0, 3, 2, 4, 1, 1, 4, 2, 0, 3, 3, 1, 4, 1, 2, 2, 0, 3, 4, 3, 3, 3, 3, 3, 2, 0, 0, 2, 0, 4, 3, 2, 4, 3, 1, 2, 2, 3, 2, 1, 2, 1, 4, 2, 0, 3, 3, 2, 3, 3, 1, 2, 0, 0, 1, 1, 3, 1, 3, 4, 4, 1, 3, 2, 1, 0, 3, 4, 0, 0, 0, 1, 3, 4, 2, 1, 1, 3, 1, 0, 4, 1, 1, 4, 0, 3, 0, 4, 0, 1, 1, 2, 1, 3, 3, 3, 0, 0, 2, 2, 0, 4, 3, 0, 2, 0, 1, 2, 1, 0, 4, 4, 1, 2, 2, 3, 1, 2, 1, 3, 1, 3, 3, 1, 1, 4, 3] pubkeycol1351 = [1, 0, 3, 1, 2, 4, 2, 3, 3, 2, 3, 3, 1, 4, 2, 1, 4, 2, 4, 2, 3, 4, 3, 4, 3, 4, 0, 0, 3, 3, 4, 4, 2, 3, 4, 0, 1, 4, 1, 4, 2, 1, 4, 2, 1, 3, 3, 2, 2, 3, 1, 1, 1, 4, 1, 3, 3, 4, 2, 4, 1, 1, 0, 1, 4, 0, 3, 4, 0, 1, 3, 0, 2, 2, 1, 0, 3, 3, 0, 3, 1, 3, 0, 1, 2, 4, 4, 0, 1, 3, 4, 1, 1, 2, 1, 0, 1, 3, 3, 2, 4, 0, 3, 4, 3, 0, 1, 3, 3, 1, 0, 1, 0, 0, 1, 0, 0, 2, 4, 3, 3, 3, 2, 2, 0, 1, 1, 4, 4, 1, 3, 1, 0, 0, 0, 0, 3, 2, 3, 4, 0, 4, 2, 0, 1, 0, 1, 0, 1, 1, 4, 0, 3, 2, 4, 1, 3, 0, 1, 0, 3, 2, 3, 2, 2, 2, 2, 4, 2, 0, 3, 3, 2, 3, 3, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 3, 0, 2, 2, 0, 1, 2, 1, 1, 2, 3, 0, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 4, 1, 2, 2, 1, 3, 1, 2, 2, 0, 4, 0, 0, 0, 2, 0, 2, 2, 3, 0, 3, 3, 3, 2, 1, 4, 4, 4, 0, 3, 4, 3, 2, 4, 4, 2, 4, 4, 0, 2, 4, 1, 2, 1, 2, 2, 4, 3, 2, 0, 0, 1, 0, 4, 1, 4, 1, 3, 0, 0, 0, 4, 2, 4, 4, 3, 0, 1, 1, 4, 4, 0, 1, 2, 2, 2, 3, 2, 0, 1, 1, 1, 0, 2, 2, 3, 4, 4, 1, 0, 0, 2, 4, 3, 2, 4, 4, 3, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 3, 2, 3, 3, 4, 2, 1, 2, 0, 1, 3, 0, 4, 2, 4, 2, 2, 4, 2, 1, 3, 4, 2, 1, 2, 0, 0, 2, 0, 2, 3, 0, 0, 0, 0, 0, 2, 3, 1, 1, 0, 0, 3, 0, 3, 4, 2, 0, 1, 2, 3, 2, 4, 4, 3, 3, 3, 1, 2, 3, 3, 0, 4, 2, 2, 0, 0, 2, 0, 3, 4, 0, 1, 3, 3, 2, 0, 4, 1, 1, 2, 0, 4] pubkeycol1352 = [4, 1, 1, 3, 2, 4, 1, 4, 3, 3, 3, 0, 2, 0, 1, 1, 4, 3, 3, 1, 1, 4, 1, 3, 3, 3, 3, 1, 4, 3, 1, 2, 2, 1, 0, 3, 4, 4, 4, 1, 0, 0, 2, 2, 3, 0, 2, 4, 2, 0, 0, 2, 1, 1, 0, 3, 0, 0, 2, 1, 3, 3, 0, 4, 0, 2, 1, 0, 0, 4, 4, 2, 3, 1, 4, 2, 3, 3, 3, 1, 2, 4, 1, 3, 3, 2, 1, 4, 4, 0, 2, 0, 2, 3, 3, 2, 2, 3, 4, 3, 4, 3, 0, 1, 0, 2, 3, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 2, 0, 0, 3, 3, 4, 0, 4, 1, 2, 4, 4, 3, 1, 4, 1, 1, 4, 0, 4, 3, 2, 0, 4, 4, 3, 2, 1, 2, 3, 2, 0, 0, 2, 4, 1, 2, 4, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 4, 4, 3, 0, 2, 1, 3, 1, 3, 3, 1, 4, 3, 3, 0, 4, 4, 3, 2, 4, 4, 3, 4, 2, 0, 1, 0, 1, 2, 4, 1, 0, 1, 2, 3, 4, 3, 4, 3, 3, 2, 2, 3, 2, 0, 4, 1, 2, 0, 1, 4, 0, 2, 1, 1, 4, 1, 3, 2, 2, 3, 2, 2, 2, 1, 4, 4, 2, 3, 0, 0, 4, 2, 2, 2, 4, 3, 0, 0, 3, 3, 4, 2, 1, 0, 1, 2, 0, 2, 4, 2, 1, 0, 2, 3, 2, 0, 3, 3, 4, 4, 1, 3, 3, 4, 2, 0, 0, 4, 0, 2, 0, 1, 4, 3, 4, 3, 1, 1, 4, 3, 4, 2, 3, 3, 0, 3, 3, 4, 0, 1, 4, 4, 1, 1, 0, 3, 4, 2, 3, 3, 3, 3, 2, 3, 1, 2, 4, 4, 0, 3, 0, 2, 2, 3, 3, 4, 1, 1, 1, 2, 2, 2, 0, 3, 4, 3, 3, 3, 4, 0, 0, 0, 4, 4, 4, 0, 1, 1, 2, 1, 1, 4, 0, 2, 1, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 3, 2, 0, 2, 0, 4, 3, 4, 0, 3, 2, 0, 3, 1, 3, 0, 3, 1, 3, 1, 3, 1, 0, 3, 4, 2, 4, 3, 4, 4, 0, 3, 1, 2, 2, 4] pubkeycol1353 = [4, 4, 2, 1, 0, 3, 0, 1, 3, 1, 2, 1, 3, 0, 1, 1, 2, 0, 4, 3, 4, 4, 3, 3, 4, 1, 1, 1, 2, 0, 2, 4, 3, 4, 4, 1, 0, 4, 0, 3, 1, 4, 3, 1, 0, 3, 3, 0, 3, 4, 0, 3, 4, 4, 4, 1, 2, 3, 2, 1, 3, 1, 4, 1, 0, 4, 2, 2, 3, 1, 2, 3, 0, 3, 4, 1, 2, 4, 2, 4, 3, 4, 3, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 3, 3, 0, 1, 0, 0, 0, 1, 0, 4, 1, 4, 2, 2, 3, 3, 2, 1, 2, 4, 4, 3, 4, 0, 1, 4, 1, 2, 2, 4, 4, 3, 4, 0, 2, 3, 3, 3, 2, 1, 0, 0, 1, 4, 0, 2, 2, 1, 2, 1, 0, 4, 1, 1, 0, 3, 2, 2, 1, 3, 3, 2, 2, 2, 1, 0, 1, 4, 4, 1, 2, 1, 0, 4, 2, 1, 0, 0, 2, 2, 0, 4, 4, 0, 3, 2, 0, 1, 4, 2, 4, 4, 1, 2, 2, 0, 4, 0, 1, 1, 0, 3, 3, 0, 2, 3, 0, 4, 2, 2, 1, 1, 1, 3, 4, 1, 0, 1, 0, 4, 0, 0, 4, 3, 1, 3, 3, 1, 2, 1, 2, 1, 2, 3, 1, 0, 2, 0, 0, 1, 4, 1, 0, 1, 3, 1, 0, 0, 3, 0, 1, 4, 4, 3, 1, 0, 0, 3, 0, 4, 1, 0, 3, 3, 4, 2, 4, 0, 3, 3, 1, 3, 2, 1, 4, 4, 4, 4, 2, 0, 1, 2, 3, 4, 0, 4, 1, 0, 2, 3, 3, 4, 2, 3, 0, 2, 1, 2, 0, 4, 1, 2, 0, 3, 3, 1, 1, 2, 3, 0, 4, 3, 1, 2, 1, 1, 2, 1, 4, 1, 2, 0, 0, 1, 4, 1, 0, 0, 0, 1, 0, 1, 0, 3, 4, 0, 3, 0, 2, 3, 2, 0, 3, 4, 0, 2, 0, 1, 3, 1, 4, 1, 2, 1, 2, 3, 3, 3, 3, 0, 1, 0, 1, 0, 2, 4, 3, 1, 1, 3, 4, 3, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 3, 0, 3, 1, 4, 4, 0, 4, 1, 2, 0, 1, 4, 2, 2, 1, 1, 4, 4, 0, 0, 3, 1, 3] pubkeycol1354 = [0, 2, 1, 0, 3, 4, 0, 4, 4, 0, 4, 0, 1, 0, 3, 0, 4, 2, 4, 0, 1, 0, 1, 4, 2, 3, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 3, 2, 2, 3, 1, 3, 0, 2, 3, 2, 4, 3, 1, 1, 3, 2, 0, 3, 2, 1, 3, 4, 4, 0, 3, 0, 2, 3, 2, 4, 3, 4, 4, 3, 0, 1, 1, 0, 3, 3, 2, 3, 4, 2, 1, 3, 1, 4, 2, 1, 3, 4, 0, 4, 1, 2, 3, 2, 2, 3, 1, 2, 1, 0, 3, 2, 3, 4, 3, 0, 3, 1, 3, 4, 3, 0, 0, 1, 4, 2, 2, 2, 2, 1, 1, 1, 2, 4, 1, 2, 1, 2, 3, 4, 0, 1, 1, 4, 2, 3, 2, 0, 1, 4, 3, 1, 0, 1, 2, 3, 2, 4, 1, 4, 4, 2, 1, 4, 2, 4, 1, 2, 2, 0, 3, 0, 0, 4, 4, 4, 4, 2, 2, 3, 1, 2, 1, 4, 2, 4, 4, 3, 4, 4, 2, 2, 2, 0, 3, 0, 0, 3, 0, 4, 0, 1, 3, 3, 3, 2, 2, 0, 3, 3, 2, 3, 2, 2, 0, 4, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 3, 3, 2, 1, 1, 4, 3, 1, 2, 0, 3, 0, 3, 4, 4, 0, 4, 3, 0, 2, 3, 2, 3, 4, 4, 4, 1, 3, 4, 2, 3, 4, 1, 3, 2, 4, 4, 2, 4, 4, 4, 3, 4, 4, 0, 1, 4, 4, 0, 4, 0, 2, 1, 1, 0, 3, 0, 0, 2, 0, 0, 3, 1, 0, 1, 3, 1, 1, 3, 3, 3, 2, 0, 4, 2, 2, 2, 2, 4, 1, 1, 4, 4, 0, 3, 3, 2, 1, 0, 4, 0, 0, 1, 4, 0, 3, 1, 4, 1, 1, 2, 2, 2, 1, 2, 4, 4, 2, 2, 2, 2, 3, 4, 1, 4, 1, 1, 0, 2, 2, 1, 1, 0, 3, 1, 1, 3, 2, 2, 2, 0, 3, 2, 1, 2, 1, 0, 0, 3, 3, 0, 4, 3, 0, 4, 0, 4, 3, 1, 3, 0, 4, 2, 1, 3, 0, 0, 1, 4, 2, 3, 0, 4, 2, 0, 0, 2, 3, 1, 1, 2, 0, 1, 3, 1, 1, 4, 2, 4, 0, 2, 2, 1] pubkeycol1355 = [2, 1, 1, 0, 1, 3, 4, 0, 0, 4, 0, 1, 3, 0, 4, 3, 2, 1, 3, 2, 0, 2, 0, 1, 0, 3, 1, 0, 2, 0, 2, 0, 0, 3, 1, 4, 1, 4, 4, 0, 2, 1, 3, 2, 3, 3, 4, 3, 3, 3, 2, 0, 3, 3, 1, 4, 2, 4, 4, 4, 0, 2, 1, 4, 1, 1, 3, 1, 1, 1, 2, 1, 4, 1, 2, 2, 4, 1, 1, 2, 2, 4, 0, 3, 2, 2, 0, 4, 1, 1, 1, 1, 3, 1, 0, 2, 2, 0, 1, 3, 4, 4, 2, 4, 1, 2, 0, 4, 1, 2, 4, 4, 3, 4, 4, 3, 3, 3, 0, 3, 4, 4, 1, 2, 0, 2, 2, 3, 0, 0, 1, 4, 0, 2, 4, 2, 4, 3, 2, 3, 0, 2, 0, 2, 1, 1, 2, 3, 0, 2, 1, 3, 4, 1, 1, 0, 0, 3, 3, 4, 0, 4, 2, 0, 3, 3, 2, 3, 0, 3, 0, 4, 3, 2, 2, 0, 4, 4, 4, 4, 0, 3, 0, 3, 3, 4, 2, 1, 3, 3, 2, 0, 0, 1, 0, 4, 3, 0, 3, 3, 3, 3, 4, 3, 2, 2, 4, 0, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 4, 0, 4, 0, 0, 2, 4, 3, 4, 2, 2, 4, 2, 4, 0, 3, 1, 2, 1, 3, 1, 1, 2, 4, 0, 4, 3, 0, 1, 2, 1, 1, 1, 0, 0, 2, 3, 0, 3, 1, 2, 2, 3, 2, 1, 0, 0, 1, 3, 3, 1, 2, 1, 0, 4, 1, 2, 0, 4, 3, 0, 1, 0, 0, 1, 2, 3, 1, 3, 0, 2, 1, 1, 4, 4, 0, 1, 1, 1, 1, 0, 3, 3, 4, 2, 0, 1, 1, 0, 1, 2, 3, 0, 2, 0, 4, 4, 2, 2, 1, 2, 3, 1, 2, 4, 3, 2, 0, 3, 1, 4, 1, 4, 3, 3, 4, 3, 1, 4, 3, 0, 4, 2, 2, 2, 3, 4, 3, 1, 2, 0, 4, 0, 4, 0, 0, 2, 2, 2, 4, 4, 4, 0, 3, 3, 0, 0, 3, 0, 2, 3, 4, 2, 0, 2, 0, 0, 3, 3, 2, 3, 0, 1, 2, 3, 3, 2, 4, 4, 4, 3, 4, 3, 3, 0, 4] pubkeycol1356 = [1, 4, 0, 1, 2, 2, 4, 3, 0, 0, 3, 4, 1, 1, 0, 1, 4, 3, 3, 4, 1, 4, 1, 3, 0, 2, 3, 2, 2, 4, 4, 2, 2, 4, 2, 0, 2, 3, 2, 2, 0, 4, 3, 1, 1, 0, 0, 0, 2, 4, 1, 4, 4, 1, 1, 0, 4, 2, 4, 0, 1, 2, 2, 1, 2, 2, 2, 0, 4, 4, 3, 0, 4, 1, 1, 3, 3, 2, 1, 4, 2, 0, 0, 4, 2, 4, 1, 2, 2, 0, 0, 1, 4, 3, 4, 3, 1, 4, 0, 4, 2, 3, 2, 0, 3, 4, 3, 3, 2, 2, 2, 4, 4, 1, 2, 2, 4, 4, 1, 1, 3, 1, 1, 1, 0, 0, 0, 3, 4, 3, 4, 3, 3, 1, 1, 0, 2, 1, 2, 3, 3, 1, 2, 4, 4, 4, 0, 4, 4, 0, 3, 4, 0, 4, 3, 3, 3, 1, 1, 4, 4, 4, 0, 3, 2, 3, 2, 2, 1, 3, 0, 3, 1, 3, 3, 2, 4, 0, 3, 0, 4, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 4, 1, 3, 3, 2, 3, 3, 0, 4, 0, 3, 1, 3, 3, 2, 1, 0, 1, 1, 4, 0, 2, 2, 3, 1, 3, 3, 3, 2, 1, 3, 4, 1, 2, 2, 1, 1, 0, 3, 1, 0, 3, 1, 2, 0, 4, 2, 3, 4, 0, 0, 3, 1, 0, 3, 2, 0, 1, 0, 1, 0, 4, 1, 3, 1, 4, 2, 3, 3, 4, 3, 0, 1, 3, 3, 0, 2, 4, 1, 4, 0, 3, 3, 4, 4, 1, 2, 1, 3, 4, 1, 2, 1, 0, 0, 3, 1, 1, 2, 3, 4, 1, 2, 2, 1, 4, 3, 4, 2, 3, 0, 0, 4, 4, 3, 0, 1, 4, 1, 3, 0, 0, 0, 1, 0, 2, 2, 1, 4, 1, 2, 1, 2, 4, 3, 2, 2, 3, 1, 0, 0, 4, 3, 3, 2, 0, 0, 2, 4, 0, 1, 3, 3, 3, 4, 3, 0, 4, 1, 1, 0, 0, 1, 4, 1, 4, 1, 4, 0, 1, 1, 4, 1, 0, 2, 1, 0, 0, 4, 4, 0, 3, 4, 2, 2, 4, 3, 2, 0, 3, 4, 1, 3, 2, 4, 0, 0, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol1357 = [2, 2, 1, 3, 3, 4, 2, 2, 0, 4, 1, 4, 4, 0, 4, 0, 0, 2, 0, 0, 4, 3, 0, 4, 0, 3, 2, 1, 0, 1, 2, 1, 4, 0, 4, 3, 1, 1, 1, 2, 0, 2, 1, 1, 3, 4, 3, 1, 4, 4, 3, 1, 2, 2, 4, 2, 3, 0, 4, 2, 2, 0, 2, 4, 3, 1, 0, 3, 4, 1, 4, 1, 3, 2, 0, 1, 1, 1, 0, 0, 4, 4, 4, 4, 0, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 1, 3, 3, 0, 0, 3, 1, 2, 4, 1, 1, 0, 3, 4, 4, 4, 2, 1, 4, 2, 4, 4, 3, 3, 1, 1, 4, 2, 0, 3, 2, 1, 2, 3, 0, 4, 4, 2, 4, 4, 4, 2, 2, 3, 2, 0, 3, 4, 1, 1, 2, 4, 2, 3, 2, 1, 0, 1, 0, 3, 1, 1, 4, 4, 2, 2, 2, 0, 1, 2, 2, 2, 1, 4, 2, 3, 1, 3, 4, 0, 1, 1, 4, 0, 3, 4, 2, 4, 3, 4, 4, 4, 3, 1, 1, 4, 4, 0, 0, 4, 0, 2, 4, 1, 4, 0, 4, 2, 1, 4, 0, 0, 2, 3, 4, 2, 1, 2, 4, 1, 2, 1, 0, 4, 0, 1, 0, 0, 0, 0, 3, 1, 4, 1, 2, 1, 1, 4, 0, 2, 1, 4, 2, 4, 0, 4, 1, 0, 1, 4, 1, 0, 1, 3, 4, 3, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 4, 4, 3, 2, 3, 0, 1, 3, 4, 2, 4, 2, 2, 1, 2, 4, 0, 3, 2, 3, 1, 1, 1, 4, 4, 0, 3, 1, 3, 3, 3, 2, 3, 4, 0, 1, 2, 0, 4, 0, 0, 3, 4, 3, 0, 3, 0, 3, 2, 2, 3, 1, 3, 0, 1, 2, 2, 3, 2, 2, 3, 0, 3, 3, 1, 4, 2, 4, 1, 2, 2, 0, 1, 3, 1, 2, 4, 2, 2, 0, 2, 1, 0, 2, 1, 4, 4, 2, 0, 1, 4, 1, 4, 3, 0, 4, 3, 1, 1, 4, 3, 0, 0, 1, 3, 0, 2, 1, 2, 1, 3, 4, 1, 1, 0, 4, 0, 1, 0, 2, 4, 2, 3, 1, 1, 3, 2, 3, 2, 4] pubkeycol1358 = [3, 4, 0, 3, 0, 4, 4, 4, 0, 4, 3, 1, 4, 4, 0, 1, 0, 0, 3, 0, 1, 0, 3, 3, 3, 0, 0, 4, 2, 0, 4, 2, 0, 3, 3, 0, 0, 3, 4, 3, 1, 0, 4, 2, 3, 1, 0, 2, 4, 3, 3, 0, 1, 4, 2, 4, 1, 2, 0, 3, 2, 2, 4, 4, 3, 1, 2, 1, 0, 0, 1, 4, 1, 3, 3, 4, 2, 1, 3, 2, 4, 2, 0, 0, 3, 3, 1, 4, 0, 3, 1, 4, 1, 2, 1, 3, 4, 3, 2, 1, 2, 3, 4, 1, 3, 2, 1, 1, 0, 2, 2, 4, 2, 0, 1, 1, 2, 4, 0, 0, 2, 4, 4, 1, 0, 3, 4, 0, 4, 4, 3, 1, 3, 1, 3, 3, 4, 0, 2, 2, 0, 1, 3, 0, 1, 1, 4, 2, 3, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 0, 2, 4, 1, 4, 3, 2, 1, 3, 2, 2, 3, 0, 3, 2, 3, 0, 2, 2, 3, 4, 4, 4, 0, 4, 0, 3, 3, 2, 3, 1, 2, 3, 4, 2, 1, 0, 0, 4, 2, 1, 1, 1, 1, 4, 1, 3, 4, 1, 0, 2, 1, 3, 0, 4, 3, 2, 1, 1, 0, 4, 2, 4, 3, 3, 3, 3, 3, 0, 2, 0, 3, 3, 3, 0, 4, 0, 0, 3, 4, 3, 0, 3, 2, 4, 0, 4, 4, 2, 1, 0, 1, 4, 2, 1, 0, 4, 1, 3, 4, 1, 2, 2, 4, 2, 0, 2, 4, 2, 4, 2, 3, 0, 1, 0, 3, 2, 3, 0, 1, 1, 2, 3, 4, 3, 3, 1, 0, 1, 2, 4, 0, 3, 2, 0, 4, 4, 2, 1, 3, 2, 2, 3, 4, 4, 1, 3, 2, 0, 3, 2, 0, 2, 2, 4, 4, 1, 4, 0, 1, 1, 0, 3, 3, 3, 3, 4, 4, 1, 4, 4, 3, 0, 1, 4, 3, 1, 2, 3, 3, 2, 1, 3, 2, 3, 3, 1, 3, 2, 4, 1, 3, 4, 1, 0, 3, 1, 4, 4, 1, 1, 0, 3, 4, 2, 0, 1, 3, 2, 0, 2, 3, 0, 2, 0, 3, 4, 2, 2, 3, 0, 2, 4, 4, 2, 3, 0, 4, 4, 4, 2, 3, 1, 0, 2, 3, 1, 3, 4, 4, 0] pubkeycol1359 = [1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 3, 1, 0, 4, 1, 4, 2, 2, 4, 4, 1, 0, 4, 3, 3, 3, 2, 1, 0, 4, 3, 2, 1, 1, 2, 4, 4, 4, 0, 0, 0, 1, 4, 1, 2, 4, 0, 3, 3, 1, 2, 2, 3, 4, 0, 4, 1, 3, 4, 3, 4, 3, 0, 4, 1, 3, 4, 1, 1, 1, 0, 1, 0, 4, 3, 0, 0, 1, 3, 2, 1, 3, 1, 4, 0, 2, 3, 4, 0, 1, 4, 4, 1, 3, 1, 0, 0, 4, 4, 3, 2, 2, 3, 1, 3, 2, 1, 0, 0, 4, 0, 4, 0, 0, 1, 0, 0, 0, 3, 2, 3, 2, 0, 4, 3, 1, 1, 0, 0, 3, 1, 2, 0, 3, 0, 2, 1, 0, 0, 3, 0, 2, 0, 3, 4, 1, 0, 1, 2, 1, 0, 3, 1, 3, 3, 0, 1, 0, 1, 2, 3, 3, 1, 2, 0, 2, 2, 1, 1, 3, 1, 3, 2, 4, 1, 1, 1, 3, 1, 4, 4, 0, 1, 3, 0, 4, 4, 4, 4, 1, 4, 4, 2, 3, 1, 3, 3, 3, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 4, 0, 4, 1, 2, 4, 0, 3, 1, 2, 4, 4, 3, 4, 2, 3, 1, 3, 3, 4, 3, 1, 1, 1, 3, 4, 1, 1, 2, 1, 3, 1, 4, 3, 3, 1, 1, 1, 3, 1, 0, 2, 0, 0, 3, 2, 1, 2, 4, 3, 0, 4, 2, 4, 4, 2, 1, 4, 4, 2, 3, 2, 1, 2, 4, 0, 2, 0, 2, 0, 2, 1, 0, 3, 1, 0, 4, 1, 0, 4, 4, 0, 3, 0, 2, 1, 1, 0, 1, 3, 3, 2, 0, 3, 4, 0, 4, 0, 2, 2, 3, 4, 0, 3, 4, 1, 0, 0, 1, 4, 2, 2, 4, 2, 4, 3, 3, 4, 2, 1, 3, 1, 3, 4, 4, 3, 4, 0, 1, 0, 3, 3, 2, 4, 0, 1, 3, 2, 2, 2, 4, 1, 3, 3, 2, 3, 2, 0, 4, 4, 1, 4, 0, 3, 1, 3, 0, 2, 1, 0, 2, 2, 2, 3, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 4, 2, 1, 1, 4, 0, 2, 3, 4, 4] pubkeycol1360 = [4, 3, 0, 1, 2, 4, 4, 1, 4, 0, 1, 4, 2, 0, 1, 3, 4, 4, 2, 2, 0, 4, 2, 3, 0, 2, 2, 3, 2, 3, 4, 4, 1, 3, 1, 3, 1, 0, 4, 2, 1, 4, 3, 1, 1, 2, 1, 4, 2, 4, 0, 3, 3, 1, 3, 1, 0, 4, 4, 2, 3, 1, 4, 4, 4, 3, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 3, 4, 4, 0, 1, 4, 0, 3, 0, 3, 2, 3, 1, 1, 1, 4, 3, 1, 1, 3, 4, 3, 0, 4, 4, 0, 0, 1, 3, 3, 0, 4, 1, 1, 3, 4, 1, 2, 3, 1, 1, 0, 3, 4, 4, 1, 4, 0, 1, 0, 4, 1, 4, 0, 2, 2, 1, 0, 1, 4, 1, 1, 0, 1, 2, 2, 3, 4, 0, 0, 2, 1, 3, 0, 4, 0, 2, 0, 0, 3, 0, 2, 3, 1, 1, 1, 1, 0, 2, 1, 2, 2, 3, 4, 0, 0, 1, 4, 3, 4, 4, 3, 1, 1, 1, 3, 2, 4, 4, 0, 2, 2, 1, 0, 2, 0, 0, 0, 4, 0, 1, 0, 4, 2, 1, 3, 1, 3, 1, 1, 0, 2, 3, 3, 4, 1, 1, 0, 3, 2, 1, 2, 2, 4, 3, 0, 3, 1, 4, 2, 1, 3, 1, 2, 3, 1, 0, 0, 0, 0, 4, 3, 1, 1, 1, 2, 2, 4, 4, 2, 2, 2, 1, 3, 0, 4, 1, 0, 2, 4, 4, 0, 4, 4, 2, 3, 1, 4, 3, 0, 4, 2, 3, 2, 1, 1, 2, 2, 1, 1, 4, 4, 2, 0, 2, 1, 1, 3, 4, 0, 2, 2, 4, 0, 0, 4, 4, 0, 3, 3, 4, 2, 4, 2, 0, 2, 0, 3, 0, 3, 0, 3, 3, 0, 1, 2, 4, 1, 2, 1, 3, 1, 1, 0, 2, 3, 0, 1, 1, 1, 4, 1, 4, 3, 4, 4, 0, 4, 0, 3, 3, 4, 4, 2, 1, 1, 0, 4, 3, 1, 3, 4, 4, 4, 0, 2, 2, 1, 4, 0, 4, 2, 2, 0, 1, 1, 1, 1, 4, 1, 3, 2, 2, 2, 1, 1, 3, 0, 4, 0, 4, 3, 4, 1, 4, 0, 4, 2, 1, 0, 4, 2, 1, 0, 3, 3, 4, 2, 2, 2, 4, 0, 1] pubkeycol1361 = [3, 4, 4, 4, 2, 0, 1, 3, 1, 3, 2, 4, 1, 2, 2, 1, 3, 1, 4, 3, 1, 0, 0, 1, 4, 4, 4, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 4, 4, 2, 1, 0, 0, 1, 4, 4, 0, 1, 4, 1, 2, 3, 0, 3, 3, 1, 0, 3, 4, 3, 1, 3, 1, 0, 3, 3, 3, 0, 4, 3, 1, 1, 4, 4, 0, 4, 4, 0, 1, 0, 2, 1, 1, 2, 1, 3, 0, 4, 0, 3, 0, 4, 0, 0, 0, 2, 4, 4, 1, 2, 3, 4, 0, 2, 4, 1, 0, 4, 1, 1, 1, 1, 0, 4, 0, 1, 1, 1, 0, 4, 0, 2, 2, 2, 3, 1, 4, 4, 2, 3, 0, 4, 4, 3, 1, 4, 1, 2, 3, 1, 3, 3, 0, 3, 1, 1, 2, 0, 2, 4, 2, 4, 2, 0, 1, 3, 1, 4, 3, 2, 3, 1, 3, 0, 0, 4, 3, 1, 0, 2, 3, 3, 3, 3, 4, 0, 4, 4, 4, 1, 4, 0, 2, 4, 1, 3, 3, 2, 1, 3, 4, 0, 4, 1, 1, 0, 0, 0, 2, 2, 0, 4, 4, 3, 0, 3, 2, 0, 1, 0, 2, 2, 3, 1, 1, 1, 4, 0, 1, 4, 1, 0, 3, 2, 1, 4, 1, 1, 2, 2, 2, 4, 1, 1, 0, 1, 4, 1, 4, 0, 2, 2, 1, 2, 0, 4, 4, 2, 1, 4, 2, 2, 3, 1, 1, 2, 3, 4, 3, 1, 0, 1, 1, 0, 4, 0, 3, 1, 1, 4, 4, 3, 0, 0, 2, 3, 0, 0, 4, 1, 2, 4, 4, 2, 3, 4, 0, 2, 2, 3, 4, 0, 2, 3, 0, 1, 1, 1, 2, 3, 3, 2, 0, 2, 3, 4, 3, 1, 0, 0, 2, 1, 0, 0, 4, 3, 4, 2, 4, 1, 4, 3, 3, 0, 2, 0, 4, 1, 1, 2, 2, 4, 3, 2, 3, 2, 1, 1, 0, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 3, 1, 0, 0, 1, 3, 4, 3, 2, 0, 4, 4, 1, 1, 1, 3, 0, 0, 3, 1, 2, 4, 0, 2, 4, 0, 2, 4, 3, 2, 4, 2, 0, 3, 3, 4, 0, 3, 2, 2, 0, 3, 2, 1, 2, 2, 3, 4, 2] pubkeycol1362 = [1, 3, 4, 4, 4, 4, 0, 1, 4, 2, 2, 3, 0, 1, 0, 4, 3, 3, 4, 2, 3, 4, 2, 2, 2, 4, 0, 0, 0, 4, 3, 0, 0, 4, 3, 0, 4, 2, 0, 4, 0, 1, 3, 0, 4, 4, 4, 1, 0, 4, 3, 2, 4, 2, 1, 0, 3, 3, 4, 4, 2, 3, 2, 0, 2, 0, 3, 1, 0, 2, 0, 4, 2, 0, 2, 1, 4, 2, 2, 2, 0, 4, 2, 2, 0, 2, 1, 0, 1, 1, 1, 3, 3, 1, 0, 0, 1, 2, 3, 2, 2, 0, 2, 3, 3, 2, 4, 3, 0, 2, 3, 2, 3, 4, 0, 2, 3, 0, 4, 0, 4, 0, 2, 4, 1, 2, 3, 1, 3, 3, 0, 2, 0, 4, 4, 1, 4, 4, 1, 4, 1, 3, 1, 4, 0, 1, 3, 2, 4, 4, 0, 4, 0, 3, 4, 3, 4, 1, 3, 3, 1, 1, 2, 1, 0, 0, 3, 0, 3, 0, 1, 4, 4, 3, 4, 0, 1, 3, 1, 2, 1, 3, 2, 1, 1, 4, 1, 0, 1, 1, 2, 1, 1, 4, 4, 3, 3, 2, 3, 0, 4, 3, 1, 2, 0, 4, 4, 0, 2, 3, 1, 4, 3, 1, 1, 1, 1, 0, 4, 1, 2, 0, 1, 0, 1, 0, 0, 4, 3, 1, 4, 0, 0, 3, 2, 2, 0, 1, 2, 0, 3, 2, 2, 2, 2, 2, 3, 4, 2, 4, 3, 2, 3, 3, 3, 1, 3, 3, 4, 2, 0, 2, 2, 2, 1, 3, 3, 2, 1, 0, 1, 2, 1, 3, 3, 4, 1, 4, 0, 1, 0, 2, 0, 1, 1, 0, 4, 1, 4, 2, 1, 2, 4, 2, 2, 0, 2, 0, 0, 4, 1, 1, 2, 2, 2, 1, 1, 4, 4, 2, 1, 1, 0, 3, 1, 2, 3, 3, 1, 3, 1, 1, 0, 2, 4, 3, 3, 2, 0, 2, 3, 0, 2, 4, 0, 3, 4, 3, 4, 4, 3, 4, 1, 0, 1, 2, 0, 0, 2, 3, 4, 3, 2, 1, 4, 4, 1, 3, 3, 1, 4, 4, 4, 1, 2, 4, 0, 1, 3, 4, 2, 3, 1, 3, 1, 3, 4, 2, 0, 0, 0, 1, 3, 1, 2, 1, 4, 4, 0, 0, 3, 0, 1, 3, 2, 4, 4, 1, 4, 1] pubkeycol1363 = [4, 0, 2, 0, 4, 2, 2, 2, 4, 1, 2, 3, 3, 4, 4, 4, 1, 3, 1, 3, 3, 1, 2, 1, 3, 1, 4, 0, 4, 0, 2, 0, 4, 2, 2, 0, 3, 0, 2, 4, 0, 1, 4, 3, 3, 1, 3, 3, 1, 3, 2, 1, 1, 0, 1, 2, 3, 0, 2, 2, 3, 4, 2, 0, 3, 2, 3, 1, 2, 4, 3, 3, 0, 3, 2, 4, 4, 4, 2, 0, 3, 1, 3, 2, 3, 2, 3, 2, 0, 2, 3, 0, 3, 1, 4, 4, 3, 2, 0, 0, 2, 1, 4, 0, 4, 4, 4, 2, 1, 0, 2, 3, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 3, 4, 3, 3, 4, 0, 1, 2, 0, 3, 0, 3, 3, 2, 4, 0, 4, 4, 0, 3, 0, 2, 2, 2, 1, 0, 4, 3, 2, 0, 1, 0, 3, 2, 3, 3, 1, 4, 3, 1, 1, 3, 1, 4, 1, 0, 1, 0, 0, 2, 4, 2, 1, 0, 0, 3, 1, 0, 1, 4, 1, 3, 2, 3, 2, 4, 2, 0, 1, 3, 4, 3, 4, 2, 0, 3, 4, 0, 1, 4, 1, 4, 0, 3, 1, 3, 3, 0, 3, 4, 2, 2, 3, 2, 3, 4, 1, 2, 2, 1, 1, 0, 4, 1, 3, 4, 3, 1, 0, 3, 0, 4, 4, 3, 3, 2, 0, 3, 0, 0, 1, 3, 4, 3, 2, 3, 1, 0, 2, 0, 3, 3, 2, 2, 3, 2, 2, 4, 3, 4, 4, 3, 3, 3, 0, 1, 3, 2, 4, 4, 2, 0, 0, 0, 1, 1, 3, 4, 4, 0, 2, 1, 2, 3, 3, 4, 4, 3, 0, 1, 0, 0, 1, 2, 2, 3, 1, 4, 0, 2, 2, 2, 0, 2, 3, 2, 2, 0, 0, 2, 1, 2, 4, 1, 2, 2, 3, 4, 2, 4, 1, 0, 0, 4, 0, 4, 0, 2, 0, 0, 4, 2, 4, 1, 3, 4, 1, 4, 3, 2, 2, 2, 0, 2, 4, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 3, 4, 0, 4, 0, 3, 3, 1, 4, 4, 3, 0, 1, 4, 0, 1, 4, 4, 3, 2, 1, 4, 4, 3, 1, 0, 1, 3, 0, 0, 0, 2, 1, 4, 2, 3, 0, 1, 4, 0] pubkeycol1364 = [0, 1, 1, 2, 1, 4, 3, 4, 4, 3, 3, 2, 1, 1, 3, 4, 4, 4, 3, 4, 0, 1, 1, 3, 3, 0, 1, 0, 4, 1, 2, 4, 0, 2, 1, 2, 0, 0, 1, 3, 4, 1, 3, 3, 2, 3, 1, 1, 4, 3, 3, 4, 3, 0, 1, 2, 2, 1, 2, 2, 3, 4, 1, 1, 4, 3, 3, 2, 1, 2, 2, 1, 4, 1, 3, 1, 2, 0, 1, 2, 4, 4, 4, 4, 3, 3, 1, 0, 3, 1, 1, 1, 2, 0, 1, 4, 1, 2, 2, 1, 0, 1, 4, 2, 3, 0, 0, 3, 2, 0, 0, 4, 1, 3, 1, 4, 0, 2, 2, 2, 1, 0, 0, 3, 2, 2, 2, 4, 3, 4, 0, 4, 0, 4, 1, 4, 2, 1, 3, 4, 1, 4, 1, 1, 2, 2, 0, 3, 4, 3, 0, 3, 2, 3, 0, 4, 1, 4, 0, 4, 3, 0, 4, 3, 3, 0, 0, 3, 3, 0, 4, 2, 1, 2, 0, 1, 0, 4, 3, 3, 0, 2, 4, 2, 3, 4, 3, 1, 3, 4, 3, 2, 1, 4, 4, 4, 4, 4, 2, 4, 2, 2, 2, 0, 0, 0, 2, 1, 1, 3, 1, 2, 1, 1, 3, 2, 3, 4, 1, 2, 4, 3, 1, 2, 0, 0, 0, 4, 2, 0, 0, 4, 0, 0, 0, 1, 4, 3, 3, 0, 0, 2, 1, 3, 3, 1, 2, 3, 1, 1, 1, 4, 0, 4, 0, 2, 1, 1, 0, 1, 1, 1, 0, 3, 2, 3, 0, 2, 3, 3, 0, 0, 3, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 4, 2, 2, 4, 2, 3, 4, 1, 2, 3, 0, 4, 3, 0, 2, 1, 3, 2, 1, 2, 1, 3, 1, 3, 1, 1, 3, 3, 2, 0, 2, 4, 2, 1, 3, 4, 4, 3, 0, 3, 2, 0, 1, 0, 0, 3, 4, 0, 1, 4, 4, 4, 0, 2, 3, 3, 3, 0, 4, 2, 0, 2, 1, 4, 0, 2, 2, 3, 1, 4, 1, 2, 2, 0, 3, 3, 2, 3, 2, 3, 1, 2, 1, 0, 0, 0, 2, 1, 2, 4, 4, 1, 1, 4, 3, 3, 3, 1, 2, 3, 0, 3, 3, 1, 4, 2, 1, 1, 4, 3, 1, 1, 0, 2, 4, 2, 2] pubkeycol1365 = [1, 4, 3, 3, 1, 0, 0, 4, 1, 0, 3, 3, 4, 0, 4, 4, 3, 1, 3, 1, 4, 1, 2, 3, 0, 0, 3, 1, 2, 4, 1, 1, 2, 0, 0, 1, 1, 4, 2, 1, 3, 1, 1, 3, 1, 4, 0, 2, 3, 1, 3, 2, 4, 4, 4, 1, 2, 0, 4, 0, 3, 1, 1, 4, 0, 4, 3, 4, 4, 2, 0, 3, 4, 2, 1, 0, 4, 2, 1, 3, 1, 1, 4, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 3, 3, 3, 1, 1, 4, 4, 1, 4, 0, 3, 4, 3, 3, 2, 2, 4, 1, 2, 4, 3, 2, 3, 4, 4, 0, 0, 1, 2, 1, 3, 4, 2, 3, 4, 0, 4, 2, 2, 2, 3, 4, 3, 4, 4, 4, 3, 0, 4, 2, 1, 3, 2, 4, 4, 0, 4, 0, 4, 1, 3, 2, 3, 4, 2, 0, 0, 0, 2, 1, 2, 3, 3, 4, 1, 0, 2, 4, 0, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 4, 2, 0, 3, 0, 1, 4, 1, 2, 4, 0, 4, 1, 1, 3, 3, 4, 1, 4, 3, 3, 1, 3, 2, 4, 4, 4, 0, 0, 4, 3, 0, 2, 0, 1, 2, 1, 4, 1, 2, 4, 3, 3, 1, 0, 3, 2, 4, 1, 1, 2, 4, 2, 1, 2, 1, 4, 2, 3, 4, 3, 0, 4, 0, 2, 2, 2, 0, 4, 0, 2, 2, 3, 4, 4, 4, 4, 2, 1, 0, 0, 2, 4, 4, 0, 4, 2, 1, 2, 4, 1, 3, 1, 0, 3, 1, 0, 3, 2, 2, 1, 3, 0, 0, 2, 1, 1, 2, 0, 3, 2, 1, 4, 3, 3, 4, 0, 4, 3, 1, 1, 1, 2, 3, 2, 0, 4, 3, 3, 0, 1, 0, 3, 0, 4, 3, 2, 2, 1, 0, 0, 0, 2, 4, 0, 2, 3, 1, 2, 4, 3, 1, 4, 2, 0, 0, 0, 1, 2, 1, 4, 3, 0, 3, 1, 4, 0, 4, 1, 3, 2, 3, 0, 0, 3, 0, 1, 2, 3, 4, 0, 0, 2, 0, 0, 4, 0, 1, 2, 4, 0, 3, 2, 3, 1, 1, 4, 1, 2, 4, 4, 2, 0, 1, 1, 3, 0, 1, 2, 2, 0, 2, 4, 3, 0, 2] pubkeycol1366 = [0, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 1, 1, 4, 1, 1, 3, 2, 0, 3, 1, 1, 4, 4, 0, 4, 1, 0, 1, 4, 0, 0, 0, 0, 3, 3, 4, 4, 1, 4, 4, 2, 4, 2, 2, 2, 2, 0, 1, 4, 1, 3, 4, 1, 4, 3, 3, 4, 2, 2, 4, 1, 0, 0, 4, 0, 0, 0, 4, 4, 1, 3, 1, 4, 2, 2, 0, 4, 1, 0, 2, 3, 0, 3, 4, 1, 2, 2, 4, 4, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 4, 1, 2, 3, 4, 3, 4, 2, 2, 4, 2, 2, 3, 3, 2, 4, 3, 4, 3, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 4, 3, 2, 4, 3, 3, 2, 3, 0, 1, 0, 3, 1, 2, 1, 0, 0, 3, 2, 4, 2, 2, 3, 4, 0, 0, 3, 0, 4, 3, 0, 3, 4, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 4, 4, 4, 0, 4, 2, 4, 2, 4, 4, 0, 1, 3, 4, 2, 1, 2, 3, 0, 2, 0, 3, 2, 3, 0, 3, 3, 2, 2, 1, 1, 1, 1, 4, 3, 2, 1, 2, 3, 0, 4, 2, 1, 4, 2, 4, 2, 1, 0, 4, 0, 0, 3, 4, 4, 4, 0, 0, 3, 0, 4, 2, 0, 4, 4, 2, 2, 0, 4, 4, 1, 3, 0, 2, 1, 3, 2, 2, 3, 3, 2, 1, 0, 4, 2, 2, 2, 1, 3, 3, 1, 1, 4, 2, 1, 4, 4, 4, 3, 1, 2, 4, 2, 0, 1, 4, 3, 2, 2, 0, 4, 0, 4, 3, 2, 2, 4, 1, 3, 1, 1, 3, 0, 0, 4, 0, 0, 1, 1, 3, 0, 0, 2, 1, 2, 0, 3, 2, 2, 4, 3, 4, 3, 1, 4, 4, 3, 4, 0, 3, 1, 4, 3, 2, 2, 1, 2, 0, 3, 1, 1, 3, 3, 0, 2, 3, 2, 0, 3, 2, 0, 2, 3, 3, 1, 3, 1, 3, 3, 4, 2, 4, 3, 1, 1, 3, 4, 3, 1, 2, 2, 4, 1, 3, 2, 3, 4, 4, 3, 0, 0, 2, 3, 1, 1, 2, 4, 1, 4, 0, 1, 3, 0, 4, 1, 1, 0, 1, 1, 4, 4, 0, 1, 1, 4, 4, 2] pubkeycol1367 = [3, 2, 1, 2, 0, 4, 4, 4, 0, 3, 1, 1, 1, 1, 4, 2, 0, 1, 1, 0, 2, 3, 2, 1, 2, 2, 0, 4, 3, 2, 2, 2, 3, 4, 1, 3, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 3, 1, 2, 1, 4, 3, 2, 1, 0, 0, 1, 0, 2, 4, 4, 1, 2, 0, 4, 2, 4, 1, 3, 4, 1, 0, 0, 4, 0, 4, 3, 0, 0, 4, 0, 2, 0, 4, 0, 1, 3, 1, 2, 4, 2, 3, 2, 0, 1, 1, 0, 4, 4, 4, 4, 4, 4, 1, 1, 4, 1, 3, 4, 3, 3, 0, 3, 1, 4, 1, 2, 1, 3, 0, 0, 0, 3, 1, 4, 3, 4, 2, 1, 3, 3, 2, 3, 0, 2, 3, 1, 4, 3, 3, 3, 0, 0, 4, 0, 3, 0, 2, 2, 3, 4, 1, 0, 3, 0, 2, 0, 3, 0, 1, 2, 1, 3, 4, 2, 3, 3, 1, 1, 3, 2, 1, 3, 0, 4, 2, 2, 3, 1, 2, 0, 2, 4, 4, 0, 1, 2, 1, 2, 2, 0, 3, 1, 1, 1, 4, 3, 2, 0, 0, 1, 4, 4, 3, 1, 2, 1, 1, 1, 1, 2, 0, 4, 1, 0, 0, 4, 2, 1, 2, 4, 3, 0, 0, 4, 4, 4, 3, 2, 2, 1, 0, 3, 0, 2, 3, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 3, 3, 1, 1, 0, 1, 3, 0, 1, 0, 2, 0, 2, 2, 2, 4, 3, 4, 4, 2, 1, 3, 2, 3, 2, 1, 0, 0, 1, 0, 3, 4, 4, 4, 3, 3, 0, 2, 4, 3, 1, 2, 2, 2, 0, 4, 2, 2, 0, 2, 4, 0, 4, 3, 4, 3, 2, 3, 0, 2, 1, 1, 0, 3, 1, 0, 1, 3, 2, 4, 0, 0, 2, 3, 4, 1, 3, 3, 4, 2, 1, 2, 4, 2, 2, 1, 4, 2, 4, 0, 3, 2, 3, 2, 3, 4, 0, 3, 0, 2, 2, 3, 3, 4, 2, 3, 1, 0, 0, 2, 0, 1, 3, 2, 4, 1, 2, 4, 4, 2, 2, 0, 3, 0, 0, 0, 3, 2, 3, 4, 2, 1, 2, 3, 2, 4, 0, 1, 0, 2, 4, 4, 3, 3, 2] pubkeycol1368 = [0, 0, 0, 4, 3, 1, 0, 1, 4, 3, 2, 0, 4, 1, 0, 0, 1, 1, 4, 1, 1, 3, 1, 0, 3, 2, 3, 2, 1, 4, 1, 0, 0, 4, 0, 3, 0, 0, 4, 1, 1, 1, 4, 3, 4, 0, 2, 2, 3, 1, 3, 3, 2, 3, 0, 3, 1, 2, 4, 1, 4, 0, 3, 1, 3, 2, 0, 2, 0, 3, 0, 0, 0, 3, 2, 0, 3, 4, 4, 3, 2, 0, 3, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 4, 3, 0, 0, 0, 0, 1, 2, 0, 2, 3, 4, 2, 3, 4, 3, 3, 2, 4, 0, 0, 4, 4, 3, 2, 4, 4, 3, 1, 0, 2, 2, 0, 4, 4, 4, 2, 1, 2, 3, 3, 2, 0, 3, 2, 1, 4, 4, 2, 2, 1, 2, 4, 3, 1, 0, 4, 3, 3, 1, 3, 4, 1, 3, 0, 1, 4, 0, 0, 0, 4, 4, 4, 3, 2, 0, 4, 2, 1, 3, 0, 4, 1, 2, 4, 3, 3, 4, 1, 2, 2, 2, 3, 1, 2, 4, 4, 4, 0, 0, 2, 0, 1, 4, 3, 3, 1, 0, 0, 4, 4, 1, 3, 4, 1, 3, 0, 4, 2, 0, 2, 0, 3, 3, 0, 1, 1, 4, 2, 4, 4, 4, 3, 0, 1, 3, 1, 1, 2, 4, 2, 3, 3, 0, 1, 0, 4, 3, 1, 4, 3, 1, 1, 1, 1, 3, 3, 3, 2, 4, 2, 1, 4, 1, 4, 2, 1, 0, 2, 2, 1, 2, 3, 4, 0, 4, 0, 4, 0, 0, 3, 2, 4, 3, 3, 4, 4, 1, 2, 3, 1, 0, 0, 2, 3, 3, 0, 0, 1, 0, 1, 4, 1, 2, 1, 0, 4, 2, 2, 3, 0, 3, 1, 1, 1, 0, 0, 3, 0, 0, 2, 4, 0, 2, 2, 2, 2, 4, 1, 2, 0, 0, 0, 3, 3, 3, 1, 0, 2, 0, 2, 4, 3, 0, 3, 1, 3, 4, 2, 2, 0, 0, 4, 3, 2, 3, 3, 3, 3, 0, 3, 3, 1, 3, 4, 4, 3, 0, 0, 1, 3, 4, 2, 4, 0, 3, 0, 4, 0, 4, 4, 4, 3, 2, 2, 3, 4, 4, 4, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 0, 0, 2, 2, 2, 3, 2, 1] pubkeycol1369 = [0, 4, 2, 2, 0, 0, 4, 1, 2, 3, 1, 1, 2, 0, 4, 3, 2, 0, 0, 2, 0, 0, 0, 1, 3, 1, 0, 4, 2, 0, 3, 4, 4, 0, 4, 2, 1, 1, 2, 4, 1, 1, 1, 1, 3, 1, 3, 0, 2, 1, 2, 1, 3, 2, 4, 0, 1, 1, 3, 0, 0, 3, 1, 3, 3, 1, 1, 2, 0, 2, 3, 4, 3, 3, 3, 0, 1, 4, 2, 3, 2, 2, 4, 1, 1, 2, 3, 1, 3, 3, 2, 4, 1, 4, 2, 2, 4, 1, 1, 0, 3, 2, 1, 3, 3, 2, 3, 1, 2, 1, 0, 0, 4, 0, 1, 1, 0, 1, 2, 1, 1, 0, 3, 4, 2, 3, 2, 0, 4, 3, 1, 1, 0, 0, 4, 3, 3, 2, 3, 0, 0, 3, 4, 1, 0, 4, 2, 0, 2, 2, 1, 4, 0, 0, 1, 2, 3, 0, 0, 2, 2, 1, 2, 4, 0, 4, 3, 4, 2, 1, 2, 1, 0, 1, 4, 0, 3, 3, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 3, 3, 2, 0, 0, 4, 4, 3, 4, 1, 2, 2, 2, 2, 0, 4, 4, 3, 3, 0, 1, 1, 0, 2, 4, 1, 3, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 3, 1, 3, 0, 1, 0, 4, 4, 3, 1, 2, 3, 3, 0, 1, 1, 0, 4, 3, 0, 2, 2, 0, 0, 4, 1, 2, 4, 0, 4, 3, 1, 1, 2, 3, 1, 3, 3, 3, 3, 0, 2, 4, 0, 0, 1, 3, 3, 4, 1, 2, 4, 4, 4, 0, 4, 1, 0, 2, 4, 2, 4, 4, 4, 1, 1, 0, 1, 0, 1, 4, 1, 4, 0, 4, 4, 2, 4, 0, 3, 1, 3, 2, 3, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 4, 0, 1, 1, 2, 2, 0, 2, 0, 0, 4, 0, 2, 4, 0, 1, 1, 4, 2, 2, 4, 2, 0, 0, 1, 1, 2, 3, 3, 1, 0, 3, 2, 1, 2, 2, 1, 3, 0, 2, 0, 3, 1, 4, 0, 2, 2, 0, 1, 4, 4, 3, 0, 3, 4, 2, 4, 1, 3, 2, 1, 3, 0, 0, 1, 2, 3, 3, 0, 2, 3, 2] pubkeycol1370 = [0, 3, 0, 3, 0, 2, 4, 4, 3, 4, 0, 0, 1, 2, 3, 0, 2, 3, 2, 0, 1, 2, 4, 2, 0, 2, 1, 4, 0, 2, 1, 1, 1, 0, 0, 3, 3, 2, 0, 3, 0, 4, 0, 2, 2, 3, 1, 0, 4, 3, 1, 4, 1, 0, 2, 0, 0, 1, 2, 3, 1, 1, 0, 1, 2, 4, 3, 1, 0, 3, 4, 4, 3, 2, 1, 1, 4, 2, 2, 0, 0, 3, 2, 3, 0, 3, 0, 2, 4, 2, 0, 1, 2, 1, 4, 0, 0, 0, 2, 3, 2, 0, 0, 3, 3, 4, 4, 2, 0, 0, 4, 1, 4, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 4, 2, 0, 2, 1, 2, 4, 1, 2, 1, 3, 0, 4, 1, 0, 0, 2, 2, 0, 3, 2, 2, 4, 1, 2, 4, 1, 0, 3, 0, 1, 1, 2, 0, 3, 1, 3, 0, 2, 1, 4, 2, 3, 2, 3, 2, 3, 1, 4, 1, 2, 4, 1, 2, 4, 3, 4, 3, 3, 1, 2, 3, 4, 1, 3, 0, 4, 4, 3, 3, 0, 4, 4, 0, 0, 3, 3, 0, 1, 1, 3, 0, 2, 1, 2, 1, 4, 3, 0, 0, 3, 0, 3, 4, 2, 1, 1, 2, 2, 4, 0, 2, 0, 0, 1, 2, 0, 4, 1, 0, 1, 1, 1, 1, 0, 0, 2, 3, 4, 0, 4, 3, 2, 1, 0, 3, 4, 3, 1, 3, 2, 2, 4, 0, 0, 4, 0, 3, 1, 4, 2, 0, 3, 1, 4, 2, 0, 1, 0, 1, 1, 4, 2, 1, 4, 1, 0, 1, 3, 0, 3, 0, 3, 0, 1, 2, 1, 0, 0, 3, 2, 1, 1, 2, 2, 0, 1, 3, 1, 0, 0, 4, 1, 3, 4, 2, 2, 2, 4, 3, 2, 1, 4, 2, 1, 0, 0, 1, 2, 2, 4, 0, 0, 2, 4, 2, 1, 3, 2, 0, 3, 4, 0, 4, 2, 4, 2, 3, 0, 4, 2, 2, 1, 0, 1, 0, 1, 2, 2, 4, 3, 4, 4, 3, 0, 4, 0, 2, 3, 3, 3, 0, 0, 3, 4, 1, 0, 3, 3, 4, 4, 3, 2, 4, 4, 4, 4, 4, 2, 3, 4, 2, 3, 4, 4, 3, 3, 3, 2, 1, 0, 4, 3, 3, 0, 0] pubkeycol1371 = [3, 1, 3, 3, 4, 0, 3, 3, 0, 3, 3, 4, 1, 3, 2, 1, 1, 3, 2, 0, 3, 2, 0, 4, 1, 0, 1, 4, 4, 3, 4, 4, 3, 3, 4, 2, 1, 0, 4, 4, 1, 3, 0, 2, 2, 2, 1, 3, 0, 1, 4, 4, 1, 2, 0, 0, 0, 4, 3, 1, 2, 0, 3, 0, 2, 4, 3, 0, 0, 0, 1, 1, 3, 0, 0, 1, 1, 1, 2, 1, 0, 4, 3, 3, 2, 0, 0, 0, 1, 4, 2, 2, 1, 2, 3, 4, 4, 4, 4, 3, 0, 3, 4, 3, 0, 1, 0, 2, 0, 3, 4, 3, 0, 2, 4, 4, 3, 4, 4, 3, 4, 2, 2, 2, 4, 0, 2, 0, 0, 1, 4, 1, 1, 1, 0, 0, 3, 3, 2, 3, 3, 2, 4, 1, 0, 0, 0, 2, 3, 0, 4, 1, 2, 4, 1, 1, 3, 4, 0, 0, 3, 0, 3, 2, 4, 2, 1, 4, 2, 0, 2, 3, 1, 1, 4, 3, 0, 2, 3, 1, 3, 0, 0, 3, 0, 0, 0, 0, 1, 1, 0, 1, 1, 3, 0, 4, 3, 3, 2, 1, 1, 3, 4, 2, 1, 2, 2, 0, 1, 4, 1, 0, 1, 1, 4, 3, 0, 1, 4, 0, 0, 2, 0, 2, 1, 0, 4, 3, 4, 3, 1, 1, 4, 3, 1, 4, 2, 3, 2, 4, 0, 1, 0, 4, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 3, 3, 3, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 4, 0, 1, 4, 2, 2, 4, 1, 4, 0, 2, 0, 3, 4, 3, 1, 4, 2, 4, 2, 1, 1, 3, 4, 3, 0, 3, 3, 1, 4, 4, 4, 4, 1, 0, 4, 4, 3, 4, 1, 4, 4, 2, 1, 0, 4, 2, 2, 4, 1, 4, 1, 1, 4, 1, 3, 1, 2, 0, 1, 3, 2, 0, 4, 4, 3, 3, 3, 4, 3, 2, 0, 1, 4, 2, 1, 0, 3, 1, 3, 3, 1, 2, 1, 3, 0, 1, 1, 3, 2, 4, 0, 2, 4, 2, 0, 4, 3, 2, 0, 1, 3, 4, 3, 3, 3, 1, 4, 3, 1, 3, 3, 4, 2, 0, 0, 1, 0, 0, 4, 1, 4, 4, 4] pubkeycol1372 = [4, 2, 2, 1, 3, 0, 1, 0, 4, 4, 3, 3, 3, 3, 1, 2, 4, 2, 2, 4, 2, 2, 0, 0, 1, 0, 0, 4, 3, 2, 2, 1, 1, 2, 0, 3, 2, 1, 4, 1, 2, 2, 2, 1, 0, 2, 1, 3, 1, 3, 0, 3, 3, 4, 1, 2, 0, 2, 1, 0, 3, 3, 3, 4, 3, 4, 1, 3, 0, 3, 1, 0, 4, 1, 1, 4, 4, 2, 4, 0, 2, 2, 3, 4, 3, 2, 4, 2, 2, 2, 2, 0, 1, 3, 0, 4, 0, 3, 2, 0, 1, 0, 1, 0, 4, 1, 0, 0, 3, 0, 4, 2, 4, 3, 0, 2, 1, 4, 0, 1, 3, 4, 4, 3, 2, 2, 1, 1, 2, 3, 1, 1, 1, 0, 0, 1, 4, 1, 1, 0, 4, 1, 1, 1, 2, 1, 2, 0, 3, 3, 4, 1, 0, 2, 4, 0, 3, 1, 4, 4, 4, 0, 0, 4, 2, 0, 1, 1, 1, 1, 0, 1, 3, 1, 4, 3, 4, 3, 4, 0, 4, 3, 0, 2, 0, 1, 3, 1, 2, 3, 3, 3, 3, 0, 2, 1, 1, 1, 2, 4, 1, 0, 3, 2, 2, 4, 2, 0, 4, 4, 4, 2, 3, 3, 3, 3, 4, 4, 3, 3, 1, 3, 3, 0, 0, 1, 2, 1, 4, 2, 0, 1, 2, 2, 4, 3, 3, 0, 0, 4, 2, 0, 2, 1, 3, 4, 2, 1, 0, 3, 4, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 4, 0, 3, 1, 0, 2, 4, 4, 2, 0, 3, 2, 0, 0, 1, 1, 3, 2, 3, 3, 3, 0, 4, 3, 3, 3, 3, 4, 4, 4, 1, 4, 0, 2, 4, 1, 3, 3, 2, 1, 4, 4, 1, 1, 2, 1, 1, 2, 2, 4, 3, 0, 0, 4, 1, 4, 1, 0, 2, 0, 3, 2, 3, 3, 0, 0, 3, 3, 4, 0, 1, 2, 2, 3, 2, 4, 4, 0, 0, 1, 2, 2, 4, 0, 0, 3, 0, 2, 3, 1, 2, 4, 1, 0, 4, 4, 4, 2, 1, 4, 1, 0, 1, 0, 2, 0, 0, 3, 3, 0, 4, 4, 2, 4, 0, 1, 2, 4, 2, 0, 2, 3, 2, 0, 1, 2, 3, 0, 2, 2, 2, 4, 0, 4, 4, 1, 0, 3] pubkeycol1373 = [0, 0, 3, 2, 1, 3, 2, 0, 1, 0, 3, 4, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 3, 0, 3, 3, 2, 4, 3, 0, 4, 1, 0, 0, 1, 2, 0, 0, 4, 2, 3, 1, 1, 4, 0, 4, 1, 1, 3, 3, 1, 1, 3, 1, 0, 0, 4, 4, 2, 2, 4, 4, 4, 2, 2, 3, 4, 0, 1, 1, 2, 1, 2, 0, 3, 1, 2, 3, 0, 1, 3, 4, 3, 0, 3, 0, 4, 0, 0, 2, 4, 4, 2, 2, 1, 2, 4, 2, 0, 0, 1, 0, 2, 3, 1, 4, 0, 1, 4, 2, 4, 0, 2, 1, 1, 4, 2, 4, 2, 3, 0, 2, 1, 1, 0, 0, 4, 1, 2, 1, 1, 2, 4, 3, 1, 2, 4, 4, 4, 0, 2, 3, 2, 1, 3, 4, 0, 2, 0, 0, 1, 3, 1, 3, 3, 2, 0, 0, 0, 4, 1, 4, 1, 2, 0, 3, 1, 4, 4, 3, 4, 3, 1, 4, 0, 2, 3, 3, 2, 0, 3, 4, 2, 4, 2, 3, 1, 0, 2, 0, 1, 4, 0, 4, 4, 3, 2, 1, 4, 0, 4, 2, 2, 0, 1, 4, 3, 4, 3, 4, 0, 3, 0, 4, 3, 4, 4, 2, 1, 3, 3, 4, 3, 3, 1, 2, 3, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 4, 1, 4, 3, 3, 2, 4, 1, 3, 2, 1, 2, 1, 1, 4, 3, 3, 1, 4, 2, 1, 0, 1, 4, 0, 1, 1, 3, 3, 3, 0, 2, 3, 4, 0, 2, 4, 2, 3, 1, 1, 2, 4, 2, 4, 1, 2, 0, 4, 2, 4, 3, 3, 0, 1, 0, 2, 4, 3, 2, 2, 1, 3, 1, 3, 2, 4, 1, 2, 3, 0, 3, 2, 0, 4, 1, 0, 2, 4, 3, 0, 3, 0, 2, 2, 2, 2, 3, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 1, 1, 0, 1, 4, 1, 0, 0, 4, 4, 1, 3, 3, 4, 3, 1, 4, 1, 3, 1, 3, 1, 3, 3, 0, 2, 1, 1, 1, 4, 3, 0, 3, 0, 3, 2, 1, 1, 3, 0, 2, 2, 4, 1, 4, 0, 2, 3, 1, 4, 0, 1, 4, 1, 4, 3, 1, 0, 2, 2, 4, 1, 2] pubkeycol1374 = [1, 3, 1, 0, 1, 4, 3, 1, 0, 2, 4, 2, 2, 4, 3, 4, 4, 0, 4, 1, 3, 1, 1, 4, 2, 2, 4, 1, 3, 2, 0, 1, 3, 0, 0, 0, 4, 0, 4, 2, 3, 1, 0, 0, 1, 4, 1, 1, 2, 2, 3, 0, 1, 4, 1, 3, 4, 3, 3, 3, 3, 3, 0, 0, 2, 2, 0, 1, 1, 4, 1, 3, 0, 4, 4, 3, 4, 0, 1, 4, 1, 4, 3, 3, 3, 4, 3, 1, 4, 0, 2, 1, 3, 4, 3, 0, 1, 4, 2, 0, 0, 1, 3, 4, 4, 0, 4, 1, 4, 0, 4, 1, 3, 4, 2, 0, 1, 1, 1, 4, 3, 4, 0, 4, 3, 1, 4, 0, 4, 3, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 4, 2, 4, 3, 0, 0, 0, 1, 3, 0, 3, 4, 3, 3, 2, 0, 2, 4, 0, 4, 0, 2, 1, 3, 4, 0, 1, 3, 4, 1, 2, 2, 3, 0, 2, 1, 1, 4, 4, 4, 3, 3, 2, 1, 0, 4, 3, 0, 2, 0, 3, 3, 4, 2, 2, 2, 3, 2, 4, 1, 1, 0, 4, 2, 0, 3, 3, 0, 4, 1, 1, 3, 4, 4, 3, 4, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 2, 1, 2, 0, 2, 4, 2, 1, 1, 1, 3, 3, 3, 1, 0, 4, 1, 2, 3, 2, 1, 3, 3, 1, 4, 0, 3, 0, 4, 1, 3, 4, 0, 2, 3, 2, 2, 2, 4, 4, 2, 3, 1, 1, 4, 3, 1, 1, 2, 1, 4, 1, 1, 3, 4, 1, 2, 4, 2, 0, 1, 2, 3, 4, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 4, 4, 2, 4, 3, 4, 1, 4, 3, 0, 4, 3, 2, 3, 4, 3, 2, 1, 1, 0, 3, 2, 4, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 4, 2, 1, 0, 4, 3, 2, 1, 4, 4, 0, 2, 1, 3, 4, 4, 3, 1, 2, 1, 3, 2, 0, 3, 4, 1, 1, 1, 4, 3, 1, 0, 3, 2, 3, 0, 0, 0, 4, 0, 2, 4, 1, 3, 0, 2, 1, 2, 1] pubkeycol1375 = [1, 0, 1, 2, 1, 3, 1, 4, 4, 3, 0, 3, 0, 0, 3, 4, 2, 2, 3, 4, 1, 4, 0, 1, 1, 1, 3, 2, 0, 3, 3, 3, 1, 0, 3, 4, 0, 2, 3, 2, 3, 0, 3, 2, 4, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 3, 4, 1, 4, 0, 2, 0, 1, 0, 0, 0, 1, 0, 3, 1, 4, 1, 4, 1, 3, 4, 3, 3, 4, 0, 1, 2, 3, 3, 4, 0, 3, 2, 1, 4, 3, 4, 4, 3, 3, 0, 4, 0, 0, 0, 4, 1, 2, 1, 2, 3, 4, 1, 2, 4, 3, 1, 1, 1, 3, 3, 1, 4, 1, 0, 3, 4, 0, 0, 2, 0, 4, 1, 1, 4, 3, 4, 0, 0, 0, 4, 1, 3, 0, 0, 4, 3, 1, 3, 2, 2, 4, 3, 4, 1, 1, 4, 0, 0, 4, 4, 2, 2, 0, 1, 0, 4, 4, 1, 0, 4, 4, 1, 2, 3, 2, 3, 3, 1, 0, 4, 2, 4, 0, 1, 1, 3, 0, 1, 0, 0, 1, 2, 0, 0, 1, 3, 1, 1, 1, 1, 0, 3, 4, 2, 4, 2, 4, 2, 0, 3, 0, 2, 1, 3, 2, 4, 3, 4, 4, 1, 2, 2, 3, 4, 3, 0, 0, 1, 4, 3, 3, 3, 4, 4, 2, 0, 0, 0, 1, 0, 0, 2, 4, 0, 3, 2, 2, 0, 3, 3, 1, 3, 1, 4, 3, 4, 2, 1, 0, 3, 2, 0, 4, 4, 4, 4, 4, 3, 2, 0, 0, 2, 4, 1, 1, 2, 1, 3, 2, 2, 1, 3, 2, 4, 3, 2, 0, 1, 3, 0, 1, 3, 0, 2, 3, 2, 1, 1, 1, 3, 3, 0, 1, 2, 0, 4, 1, 3, 3, 0, 2, 1, 0, 4, 0, 0, 3, 0, 3, 4, 1, 4, 4, 2, 3, 1, 4, 3, 4, 4, 4, 3, 0, 2, 3, 4, 3, 3, 2, 0, 3, 0, 0, 4, 2, 1, 1, 1, 3, 4, 2, 0, 3, 0, 4, 4, 1, 2, 2, 3, 0, 3, 4, 0, 3, 3, 1, 1, 2, 0, 3, 0, 3, 4, 2, 2, 1, 3, 3, 0, 2, 0, 1, 0, 1, 2, 4, 3, 2, 3, 0, 4, 2, 4, 4, 1, 0, 2, 2, 3, 3, 0] pubkeycol1376 = [3, 0, 0, 3, 1, 4, 3, 4, 3, 1, 2, 1, 4, 1, 4, 3, 4, 3, 2, 1, 3, 1, 3, 2, 4, 1, 3, 1, 1, 0, 0, 3, 2, 2, 3, 4, 2, 2, 1, 0, 0, 2, 3, 0, 0, 4, 3, 1, 1, 4, 2, 4, 2, 1, 1, 1, 2, 4, 3, 4, 0, 3, 0, 4, 4, 4, 2, 2, 3, 0, 3, 2, 4, 2, 4, 0, 4, 4, 0, 0, 3, 4, 4, 1, 3, 0, 1, 4, 1, 2, 3, 3, 0, 2, 2, 0, 2, 3, 1, 4, 3, 1, 3, 0, 3, 3, 2, 2, 1, 4, 3, 0, 2, 3, 0, 4, 2, 4, 3, 4, 0, 1, 4, 0, 3, 1, 1, 3, 3, 1, 4, 1, 0, 1, 3, 4, 3, 0, 0, 3, 4, 0, 4, 4, 0, 3, 0, 3, 4, 3, 4, 0, 3, 2, 3, 4, 2, 3, 0, 0, 3, 2, 1, 3, 1, 2, 1, 4, 3, 1, 3, 1, 3, 3, 1, 3, 2, 1, 1, 1, 0, 1, 2, 1, 1, 4, 4, 4, 4, 4, 2, 1, 1, 2, 0, 2, 3, 4, 2, 3, 4, 2, 4, 4, 2, 4, 0, 1, 1, 3, 0, 0, 3, 4, 0, 1, 2, 3, 0, 1, 4, 4, 2, 4, 2, 4, 0, 0, 3, 3, 4, 0, 4, 0, 0, 3, 3, 2, 3, 3, 0, 4, 0, 4, 0, 3, 3, 1, 3, 1, 4, 2, 1, 2, 0, 4, 1, 2, 0, 4, 1, 4, 2, 3, 3, 2, 0, 1, 0, 1, 3, 4, 0, 3, 2, 2, 1, 3, 3, 3, 4, 2, 0, 1, 2, 0, 3, 0, 0, 4, 0, 4, 0, 2, 3, 0, 1, 0, 1, 4, 1, 4, 3, 3, 2, 3, 4, 4, 2, 1, 1, 1, 2, 2, 4, 3, 2, 0, 1, 0, 4, 3, 0, 4, 1, 3, 0, 2, 3, 4, 3, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 4, 4, 3, 0, 1, 0, 0, 3, 4, 2, 4, 3, 4, 0, 1, 1, 2, 2, 4, 1, 0, 0, 0, 1, 2, 2, 0, 3, 3, 0, 4, 3, 4, 2, 1, 4, 0, 4, 2, 1, 3, 0, 1, 4, 3, 1, 2, 3, 3, 1, 0, 4, 2, 1, 2, 1, 3] pubkeycol1377 = [3, 1, 3, 0, 4, 1, 3, 3, 1, 2, 2, 1, 1, 1, 0, 4, 2, 0, 1, 0, 0, 0, 0, 2, 3, 2, 0, 3, 0, 0, 3, 1, 3, 2, 3, 0, 4, 4, 1, 3, 3, 2, 0, 1, 1, 1, 3, 1, 4, 3, 2, 1, 2, 3, 1, 3, 0, 1, 4, 2, 2, 4, 2, 1, 4, 4, 3, 1, 3, 0, 4, 2, 0, 0, 3, 1, 2, 0, 3, 2, 2, 1, 4, 4, 2, 2, 3, 3, 4, 2, 0, 1, 0, 4, 0, 4, 1, 0, 4, 1, 4, 2, 3, 1, 0, 3, 2, 0, 3, 4, 3, 2, 0, 3, 2, 0, 1, 4, 2, 1, 2, 0, 1, 4, 0, 0, 1, 2, 1, 0, 4, 3, 4, 0, 3, 3, 0, 3, 4, 3, 0, 3, 2, 3, 0, 2, 2, 2, 4, 2, 3, 3, 4, 3, 4, 1, 3, 4, 1, 2, 1, 3, 3, 1, 3, 2, 0, 2, 0, 4, 1, 0, 0, 2, 0, 3, 0, 2, 2, 2, 2, 3, 3, 4, 3, 3, 3, 1, 4, 0, 4, 1, 1, 1, 3, 1, 3, 1, 2, 3, 4, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 0, 4, 1, 4, 4, 3, 4, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 3, 3, 3, 1, 3, 1, 3, 3, 0, 0, 3, 4, 4, 4, 2, 3, 0, 2, 0, 2, 4, 0, 2, 4, 1, 1, 0, 2, 3, 1, 4, 4, 3, 2, 3, 1, 1, 4, 1, 4, 0, 1, 3, 4, 0, 0, 2, 0, 1, 2, 2, 4, 0, 4, 1, 4, 1, 0, 4, 1, 0, 2, 0, 1, 3, 0, 2, 0, 0, 4, 0, 3, 3, 0, 1, 0, 0, 4, 0, 1, 2, 2, 3, 0, 4, 2, 3, 0, 3, 1, 0, 2, 0, 4, 3, 2, 1, 2, 4, 4, 3, 0, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 4, 0, 2, 3, 1, 1, 3, 0, 1, 2, 2, 2, 4, 0, 3, 3, 0, 2, 4, 1, 1, 4, 3, 0, 1, 2, 2, 0, 0, 0, 1, 3, 4, 0, 4, 4, 0, 4, 3, 4, 0, 1, 0, 4, 3, 1, 2, 0, 2, 0, 0, 1, 3, 1, 3, 3, 1, 2] pubkeycol1378 = [4, 4, 3, 0, 0, 2, 4, 0, 3, 2, 0, 4, 3, 3, 0, 2, 2, 2, 2, 0, 0, 4, 1, 2, 1, 0, 2, 2, 0, 2, 0, 4, 2, 1, 0, 0, 4, 0, 3, 3, 1, 3, 3, 0, 1, 3, 0, 2, 0, 4, 2, 1, 3, 1, 2, 3, 0, 0, 2, 3, 0, 2, 3, 1, 4, 4, 4, 3, 2, 0, 2, 4, 2, 3, 1, 0, 3, 3, 2, 0, 4, 0, 2, 0, 3, 2, 3, 2, 3, 2, 0, 3, 0, 4, 4, 4, 1, 2, 4, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 0, 4, 3, 4, 4, 4, 3, 3, 4, 0, 3, 2, 1, 4, 4, 0, 2, 0, 1, 4, 1, 2, 1, 0, 2, 2, 2, 0, 2, 3, 4, 1, 3, 0, 4, 4, 2, 1, 4, 1, 3, 2, 4, 1, 2, 4, 3, 2, 0, 1, 1, 2, 2, 0, 3, 4, 1, 2, 0, 4, 1, 0, 2, 3, 0, 2, 3, 2, 0, 1, 3, 1, 4, 0, 2, 4, 3, 4, 4, 0, 3, 2, 4, 4, 1, 4, 3, 2, 3, 3, 0, 3, 3, 2, 2, 4, 1, 4, 1, 2, 2, 2, 1, 3, 1, 0, 2, 0, 1, 2, 1, 1, 3, 1, 1, 1, 4, 3, 1, 4, 0, 0, 1, 4, 0, 0, 4, 3, 1, 0, 2, 0, 3, 3, 0, 0, 4, 2, 2, 0, 3, 3, 0, 4, 0, 2, 3, 3, 1, 1, 1, 0, 2, 0, 1, 3, 0, 4, 4, 3, 1, 4, 3, 1, 2, 4, 0, 4, 3, 0, 4, 4, 4, 1, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 2, 3, 2, 4, 4, 1, 1, 0, 3, 4, 2, 0, 3, 3, 2, 2, 1, 1, 3, 3, 2, 2, 2, 1, 0, 4, 4, 0, 4, 3, 0, 4, 0, 1, 1, 0, 1, 4, 0, 3, 2, 0, 1, 3, 0, 3, 4, 2, 1, 4, 2, 0, 0, 1, 3, 3, 1, 2, 1, 1, 4, 0, 3, 4, 2, 0, 3, 0, 3, 0, 1, 1, 0, 3, 3, 4, 3, 0, 3, 2, 1, 0, 3, 4, 2, 0, 2, 2, 4, 0, 0, 1, 2, 4, 3, 1, 2, 3, 3, 0, 1, 0, 2, 2, 1, 2] pubkeycol1379 = [3, 3, 3, 3, 0, 1, 0, 1, 4, 2, 1, 2, 1, 4, 2, 2, 3, 1, 0, 1, 2, 4, 4, 4, 2, 1, 3, 3, 4, 4, 3, 2, 3, 1, 4, 0, 4, 0, 0, 0, 2, 1, 3, 0, 1, 1, 4, 3, 0, 0, 3, 1, 0, 3, 1, 4, 2, 2, 4, 0, 1, 2, 0, 0, 3, 1, 0, 3, 2, 1, 4, 4, 0, 4, 0, 0, 4, 0, 3, 3, 2, 4, 0, 1, 1, 3, 2, 1, 2, 4, 3, 2, 1, 2, 4, 3, 3, 2, 2, 1, 4, 4, 4, 0, 3, 0, 4, 3, 3, 0, 1, 1, 2, 1, 4, 1, 1, 3, 3, 2, 0, 2, 3, 4, 1, 0, 2, 4, 4, 4, 4, 0, 0, 3, 2, 3, 1, 4, 0, 1, 2, 4, 4, 0, 3, 0, 3, 0, 3, 3, 1, 1, 3, 0, 3, 3, 2, 3, 3, 4, 2, 0, 3, 0, 4, 1, 4, 1, 0, 4, 2, 2, 2, 1, 2, 0, 1, 0, 3, 2, 4, 0, 2, 1, 0, 4, 0, 1, 4, 3, 2, 3, 2, 2, 4, 3, 3, 1, 1, 4, 1, 3, 1, 2, 0, 2, 4, 4, 3, 4, 3, 1, 4, 4, 1, 4, 0, 1, 2, 3, 2, 1, 4, 2, 4, 3, 2, 2, 4, 4, 2, 2, 4, 3, 3, 3, 4, 0, 3, 1, 1, 1, 0, 2, 2, 4, 1, 0, 1, 4, 1, 4, 3, 3, 3, 0, 4, 0, 2, 2, 2, 3, 2, 0, 1, 0, 4, 0, 0, 3, 4, 1, 3, 1, 2, 3, 1, 1, 1, 1, 0, 1, 0, 2, 4, 1, 2, 4, 0, 2, 3, 0, 4, 1, 3, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 3, 2, 4, 0, 0, 0, 1, 1, 4, 1, 1, 2, 0, 2, 4, 3, 2, 3, 2, 1, 2, 3, 1, 4, 4, 4, 2, 0, 1, 4, 0, 2, 4, 2, 2, 0, 3, 0, 2, 3, 4, 4, 0, 4, 1, 0, 0, 3, 2, 4, 3, 1, 0, 2, 1, 2, 4, 1, 3, 1, 4, 1, 2, 4, 4, 1, 2, 3, 2, 4, 3, 4, 0, 4, 4, 3, 2, 1, 3, 1, 4, 0, 1, 4, 0, 2, 3, 4, 4, 4, 3, 4, 3, 2, 4] pubkeycol1380 = [1, 3, 0, 2, 1, 0, 2, 3, 4, 1, 1, 3, 4, 2, 1, 0, 3, 0, 2, 4, 4, 3, 2, 3, 3, 1, 3, 2, 2, 0, 4, 2, 2, 3, 2, 3, 3, 0, 2, 3, 3, 4, 4, 4, 2, 3, 0, 4, 3, 0, 4, 3, 4, 4, 4, 1, 3, 4, 4, 3, 2, 1, 0, 2, 3, 1, 0, 2, 4, 4, 3, 3, 3, 1, 0, 0, 0, 2, 3, 3, 4, 2, 4, 0, 2, 0, 3, 1, 1, 3, 2, 2, 1, 2, 1, 2, 4, 1, 4, 1, 4, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 3, 4, 0, 4, 2, 0, 2, 2, 0, 1, 1, 3, 4, 3, 0, 4, 4, 0, 1, 3, 4, 3, 1, 1, 2, 3, 3, 4, 3, 1, 1, 0, 0, 1, 0, 2, 0, 4, 1, 0, 1, 3, 4, 4, 3, 0, 0, 0, 2, 3, 4, 0, 4, 3, 3, 0, 1, 1, 4, 3, 1, 4, 3, 1, 1, 0, 2, 4, 1, 4, 3, 2, 0, 1, 3, 3, 4, 1, 3, 1, 4, 1, 1, 4, 1, 2, 2, 2, 3, 3, 3, 1, 1, 2, 1, 4, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 4, 0, 0, 3, 4, 3, 0, 4, 0, 3, 0, 3, 2, 2, 2, 3, 3, 2, 3, 1, 0, 4, 1, 1, 0, 3, 3, 1, 3, 4, 1, 1, 2, 1, 3, 2, 1, 1, 3, 3, 2, 1, 3, 2, 2, 0, 4, 0, 1, 2, 0, 2, 4, 2, 0, 4, 3, 4, 2, 0, 4, 3, 4, 2, 0, 2, 1, 2, 4, 0, 0, 2, 0, 1, 2, 0, 2, 4, 0, 3, 4, 3, 4, 4, 1, 2, 1, 4, 2, 0, 4, 2, 0, 1, 4, 3, 1, 3, 1, 1, 2, 3, 2, 4, 4, 0, 1, 4, 2, 3, 3, 1, 2, 1, 0, 3, 4, 2, 4, 4, 2, 3, 1, 2, 0, 0, 0, 3, 0, 1, 4, 4, 4, 2, 1, 3, 2, 0, 3, 2, 4, 0, 2, 0, 0, 0, 0, 0, 3, 3, 2, 0, 4, 1, 4, 3, 1, 4, 1, 4, 3, 4, 1, 2, 4, 0, 4, 1, 2, 2, 3, 3, 1, 0, 0, 1, 1, 0, 0, 0, 3] pubkeycol1381 = [4, 4, 4, 3, 3, 1, 4, 1, 0, 4, 2, 2, 0, 4, 0, 4, 1, 1, 1, 3, 2, 1, 0, 2, 2, 1, 3, 0, 1, 3, 3, 4, 4, 4, 2, 0, 1, 4, 2, 0, 1, 3, 3, 4, 4, 1, 1, 2, 2, 1, 0, 3, 0, 4, 1, 3, 1, 0, 4, 0, 1, 3, 0, 0, 4, 0, 4, 4, 4, 2, 0, 0, 0, 3, 2, 0, 3, 1, 2, 0, 0, 0, 4, 4, 4, 2, 0, 1, 1, 1, 4, 3, 2, 1, 3, 3, 4, 2, 3, 0, 1, 3, 3, 0, 1, 2, 3, 4, 3, 2, 1, 4, 1, 0, 0, 4, 2, 2, 0, 2, 2, 0, 4, 0, 4, 1, 3, 1, 3, 1, 4, 1, 3, 1, 4, 3, 4, 1, 3, 2, 3, 1, 0, 1, 0, 3, 4, 4, 2, 2, 1, 4, 1, 2, 0, 0, 3, 1, 1, 0, 4, 0, 2, 1, 4, 1, 3, 1, 0, 4, 3, 2, 2, 1, 3, 0, 1, 3, 4, 1, 4, 1, 1, 0, 4, 1, 3, 3, 1, 3, 0, 1, 0, 2, 1, 1, 0, 0, 4, 0, 4, 2, 0, 2, 4, 4, 0, 1, 3, 0, 4, 0, 0, 2, 4, 2, 2, 2, 1, 1, 0, 4, 3, 1, 1, 3, 1, 3, 3, 1, 1, 2, 4, 0, 3, 1, 1, 2, 0, 3, 2, 0, 2, 1, 1, 3, 2, 0, 4, 1, 2, 3, 1, 2, 2, 3, 1, 1, 3, 2, 4, 2, 0, 0, 3, 1, 1, 0, 1, 0, 2, 1, 4, 3, 2, 1, 4, 1, 3, 0, 3, 3, 1, 1, 4, 3, 3, 0, 3, 3, 3, 0, 1, 2, 2, 4, 0, 0, 3, 1, 3, 3, 2, 4, 2, 0, 3, 4, 4, 3, 2, 3, 3, 1, 3, 0, 0, 1, 1, 0, 4, 2, 0, 0, 4, 0, 0, 1, 3, 1, 4, 2, 1, 1, 2, 2, 3, 4, 2, 4, 0, 1, 1, 1, 4, 3, 3, 3, 1, 2, 2, 0, 0, 0, 0, 1, 0, 4, 2, 1, 0, 2, 4, 1, 0, 3, 2, 4, 2, 1, 0, 0, 4, 3, 3, 2, 3, 2, 0, 1, 1, 0, 4, 3, 4, 3, 2, 2, 1, 2, 4, 1, 4, 2, 3, 1, 0, 0, 4, 0] pubkeycol1382 = [0, 2, 0, 4, 4, 2, 2, 0, 2, 2, 2, 3, 4, 0, 4, 4, 0, 2, 1, 1, 2, 3, 4, 1, 1, 0, 3, 0, 3, 4, 1, 2, 0, 0, 1, 2, 2, 3, 3, 0, 2, 0, 3, 4, 1, 4, 1, 1, 1, 1, 4, 0, 2, 1, 4, 3, 4, 1, 1, 0, 4, 4, 3, 2, 0, 4, 1, 4, 3, 1, 1, 4, 1, 0, 2, 4, 3, 3, 3, 0, 4, 4, 1, 0, 3, 0, 1, 4, 1, 0, 2, 2, 4, 0, 2, 1, 0, 0, 0, 3, 1, 0, 3, 2, 4, 3, 0, 3, 4, 0, 2, 1, 0, 4, 1, 1, 2, 2, 2, 3, 4, 1, 0, 2, 1, 1, 0, 2, 1, 1, 3, 1, 0, 1, 4, 0, 1, 0, 1, 3, 2, 0, 4, 1, 4, 4, 3, 1, 4, 2, 2, 0, 3, 2, 4, 4, 0, 1, 3, 4, 2, 4, 1, 0, 1, 1, 4, 0, 1, 0, 0, 4, 0, 0, 1, 2, 4, 2, 3, 4, 4, 2, 1, 0, 1, 1, 1, 3, 0, 4, 2, 3, 1, 1, 2, 3, 3, 1, 2, 2, 1, 0, 3, 1, 4, 4, 3, 4, 1, 4, 2, 1, 4, 0, 1, 2, 3, 1, 2, 3, 1, 1, 4, 1, 0, 0, 3, 0, 0, 3, 0, 4, 0, 3, 2, 3, 2, 4, 4, 4, 0, 3, 4, 2, 2, 0, 2, 4, 3, 4, 3, 3, 2, 4, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 4, 4, 4, 0, 2, 3, 3, 4, 3, 2, 4, 3, 1, 1, 3, 4, 4, 2, 2, 1, 4, 1, 2, 4, 2, 4, 3, 1, 3, 0, 0, 2, 2, 2, 4, 4, 2, 1, 0, 4, 1, 1, 2, 2, 3, 3, 4, 3, 3, 4, 0, 1, 0, 3, 2, 0, 4, 4, 2, 0, 0, 0, 1, 2, 4, 2, 4, 1, 1, 2, 1, 0, 4, 3, 2, 4, 3, 4, 0, 1, 3, 2, 2, 1, 0, 0, 3, 2, 2, 0, 1, 4, 2, 1, 0, 3, 2, 4, 0, 2, 4, 2, 0, 3, 3, 3, 4, 4, 1, 1, 0, 2, 4, 3, 1, 4, 2, 2, 1, 2, 3, 1, 2, 3, 1, 3, 2, 1, 1, 2] pubkeycol1383 = [2, 1, 2, 4, 2, 0, 1, 2, 1, 3, 2, 2, 1, 2, 4, 3, 0, 3, 4, 2, 4, 4, 3, 1, 0, 0, 2, 1, 4, 4, 2, 2, 2, 3, 3, 1, 1, 3, 1, 3, 4, 0, 2, 3, 2, 0, 4, 4, 0, 1, 1, 4, 2, 1, 4, 3, 2, 0, 0, 4, 0, 3, 4, 3, 4, 4, 4, 3, 2, 3, 2, 3, 1, 1, 3, 1, 4, 0, 4, 4, 1, 1, 3, 0, 0, 1, 3, 0, 0, 2, 3, 2, 4, 4, 4, 4, 2, 1, 3, 4, 2, 1, 4, 2, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 4, 4, 3, 3, 0, 1, 4, 0, 4, 0, 0, 4, 4, 1, 3, 0, 1, 3, 1, 4, 4, 3, 4, 0, 3, 2, 0, 3, 0, 3, 3, 0, 0, 0, 2, 3, 3, 0, 1, 4, 2, 2, 4, 0, 4, 0, 2, 1, 2, 1, 4, 4, 2, 2, 0, 1, 3, 0, 0, 3, 0, 3, 0, 1, 3, 0, 2, 1, 0, 3, 4, 3, 2, 0, 2, 3, 1, 2, 4, 3, 4, 3, 0, 0, 0, 1, 2, 1, 4, 1, 3, 4, 4, 1, 3, 2, 2, 3, 1, 2, 4, 2, 3, 1, 3, 2, 0, 3, 1, 4, 3, 4, 0, 0, 4, 1, 2, 3, 4, 0, 3, 2, 0, 1, 4, 2, 3, 0, 0, 4, 2, 2, 2, 1, 0, 4, 3, 0, 0, 1, 2, 1, 2, 2, 4, 4, 4, 3, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 4, 2, 3, 1, 0, 3, 2, 3, 0, 2, 4, 2, 2, 3, 0, 1, 4, 0, 3, 2, 4, 4, 2, 0, 4, 1, 2, 1, 4, 3, 3, 4, 2, 2, 1, 4, 4, 0, 0, 3, 1, 0, 3, 1, 1, 4, 2, 0, 4, 3, 1, 1, 1, 2, 4, 1, 3, 2, 0, 4, 4, 2, 1, 4, 1, 4, 2, 4, 4, 1, 4, 4, 2, 2, 2, 4, 3, 3, 4, 1, 3, 1, 2, 0, 3, 3, 2, 3, 2, 2, 0, 0, 2, 4, 3, 4, 1, 0, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 4, 4, 4, 3, 2, 2, 2, 2, 4, 0, 1, 1] pubkeycol1384 = [3, 0, 4, 0, 4, 0, 0, 3, 3, 3, 1, 2, 3, 3, 1, 0, 1, 1, 1, 2, 0, 3, 3, 4, 0, 3, 4, 0, 2, 4, 0, 4, 3, 0, 4, 2, 0, 1, 2, 0, 1, 0, 2, 0, 3, 3, 1, 1, 4, 1, 3, 4, 3, 0, 0, 3, 0, 3, 3, 3, 1, 3, 1, 0, 4, 4, 0, 2, 3, 2, 4, 1, 2, 0, 3, 3, 0, 3, 2, 1, 2, 4, 0, 3, 4, 2, 1, 4, 0, 3, 4, 2, 4, 3, 3, 1, 4, 4, 1, 0, 4, 2, 3, 1, 0, 1, 1, 1, 2, 4, 1, 2, 2, 2, 2, 3, 0, 3, 1, 4, 2, 0, 4, 2, 4, 2, 3, 0, 3, 0, 3, 3, 2, 3, 0, 1, 1, 0, 4, 0, 0, 0, 4, 0, 3, 3, 3, 1, 0, 4, 1, 2, 3, 1, 4, 2, 0, 4, 3, 3, 2, 1, 4, 3, 1, 2, 3, 3, 2, 0, 1, 2, 0, 4, 4, 1, 2, 1, 2, 2, 0, 0, 1, 1, 3, 4, 4, 3, 0, 1, 2, 2, 4, 2, 3, 1, 1, 3, 1, 3, 1, 0, 1, 0, 3, 4, 2, 4, 2, 4, 3, 1, 0, 3, 3, 4, 3, 3, 2, 2, 0, 3, 3, 3, 0, 2, 1, 3, 0, 3, 0, 4, 4, 2, 4, 0, 4, 2, 3, 4, 4, 1, 0, 4, 1, 2, 3, 2, 1, 1, 0, 2, 2, 2, 1, 2, 3, 0, 0, 4, 3, 1, 3, 4, 0, 3, 1, 2, 4, 3, 1, 3, 1, 3, 2, 1, 3, 1, 4, 3, 0, 0, 3, 1, 0, 2, 2, 3, 3, 3, 4, 2, 1, 1, 4, 0, 0, 0, 4, 4, 3, 4, 1, 3, 3, 2, 3, 2, 1, 0, 1, 4, 1, 0, 0, 2, 2, 4, 2, 3, 0, 4, 0, 3, 3, 2, 2, 4, 2, 2, 1, 2, 3, 1, 4, 4, 0, 4, 0, 4, 0, 1, 0, 4, 2, 1, 2, 4, 2, 3, 0, 2, 3, 1, 3, 3, 1, 0, 3, 2, 1, 3, 1, 3, 0, 0, 4, 1, 3, 3, 3, 0, 3, 2, 0, 3, 2, 3, 4, 3, 3, 2, 1, 4, 4, 2, 3, 1, 3, 1, 2, 4, 1, 4, 4, 1, 1, 1, 2, 0] pubkeycol1385 = [2, 3, 2, 0, 2, 3, 1, 2, 4, 3, 1, 2, 0, 0, 3, 2, 2, 1, 4, 1, 1, 3, 2, 1, 1, 4, 1, 0, 2, 0, 4, 2, 3, 0, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 4, 3, 1, 3, 1, 1, 4, 1, 1, 0, 4, 0, 1, 4, 2, 1, 4, 2, 4, 1, 0, 3, 0, 0, 2, 4, 4, 4, 4, 3, 2, 4, 2, 4, 0, 0, 1, 3, 4, 3, 3, 2, 1, 4, 2, 3, 0, 4, 2, 0, 2, 3, 3, 2, 2, 3, 1, 2, 4, 2, 2, 0, 2, 4, 4, 1, 0, 0, 0, 2, 0, 4, 4, 2, 1, 4, 2, 0, 1, 4, 2, 2, 1, 0, 2, 2, 4, 3, 3, 3, 3, 1, 3, 3, 1, 4, 3, 2, 3, 2, 0, 3, 4, 3, 2, 3, 3, 2, 0, 4, 2, 2, 0, 1, 3, 3, 4, 1, 3, 1, 1, 2, 4, 1, 1, 1, 1, 0, 2, 4, 0, 3, 1, 2, 3, 0, 1, 3, 0, 4, 2, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 2, 2, 0, 4, 3, 4, 1, 2, 3, 2, 4, 2, 1, 0, 3, 0, 4, 0, 0, 1, 1, 4, 4, 4, 3, 2, 1, 3, 2, 4, 0, 2, 2, 3, 4, 4, 2, 1, 3, 4, 2, 4, 3, 3, 2, 4, 3, 4, 4, 2, 1, 1, 2, 4, 4, 2, 4, 0, 3, 0, 4, 0, 3, 1, 2, 4, 2, 2, 2, 0, 3, 3, 3, 3, 2, 2, 2, 0, 4, 2, 3, 2, 4, 4, 4, 4, 1, 2, 1, 2, 3, 4, 4, 4, 1, 3, 1, 0, 4, 2, 2, 0, 1, 3, 4, 3, 4, 1, 3, 2, 2, 3, 1, 1, 2, 2, 0, 0, 1, 0, 1, 4, 2, 4, 0, 4, 2, 3, 1, 2, 3, 3, 0, 1, 4, 2, 1, 3, 4, 4, 1, 2, 2, 0, 0, 0, 3, 1, 1, 2, 2, 0, 1, 2, 0, 3, 3, 4, 4, 3, 1, 4, 0, 0, 4, 0, 1, 2, 0, 0, 0, 3, 0, 4, 3, 0, 0, 1, 0, 1, 3, 1, 2, 0, 1, 3, 0, 3, 3, 3, 0, 0, 3, 3, 2, 2, 1, 4, 1, 1, 4, 0, 1, 2] pubkeycol1386 = [3, 4, 2, 2, 2, 2, 3, 4, 0, 2, 3, 1, 3, 2, 1, 0, 3, 4, 1, 1, 4, 3, 4, 3, 3, 4, 1, 3, 1, 0, 2, 0, 0, 1, 4, 1, 3, 4, 0, 0, 1, 4, 2, 0, 2, 1, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 2, 3, 0, 1, 4, 0, 2, 1, 1, 3, 2, 3, 0, 0, 4, 2, 1, 3, 4, 4, 1, 1, 1, 2, 3, 0, 2, 3, 1, 4, 0, 3, 0, 0, 3, 4, 0, 2, 0, 2, 0, 2, 2, 4, 4, 2, 3, 0, 4, 0, 3, 4, 0, 0, 1, 4, 3, 1, 1, 1, 0, 1, 1, 2, 3, 4, 1, 3, 4, 0, 3, 3, 3, 2, 1, 1, 1, 1, 0, 2, 1, 0, 4, 1, 0, 4, 4, 2, 3, 4, 0, 0, 2, 4, 4, 4, 1, 0, 0, 3, 3, 0, 3, 1, 2, 1, 4, 1, 0, 3, 1, 3, 2, 2, 3, 0, 3, 0, 3, 2, 3, 2, 3, 4, 0, 0, 1, 0, 4, 3, 2, 1, 4, 3, 1, 2, 0, 2, 2, 4, 4, 0, 0, 2, 1, 0, 3, 3, 1, 0, 4, 3, 0, 2, 4, 3, 0, 1, 1, 1, 3, 0, 1, 4, 0, 3, 3, 3, 2, 0, 3, 1, 2, 4, 0, 1, 0, 3, 3, 2, 2, 4, 4, 4, 3, 4, 2, 3, 3, 2, 2, 4, 2, 4, 3, 2, 0, 0, 3, 0, 4, 2, 0, 0, 1, 1, 1, 4, 3, 3, 3, 4, 2, 3, 2, 1, 1, 2, 1, 3, 0, 1, 4, 2, 0, 1, 4, 0, 3, 4, 3, 4, 1, 2, 2, 2, 1, 3, 1, 4, 4, 2, 3, 4, 2, 2, 2, 1, 2, 4, 0, 3, 0, 3, 3, 1, 2, 0, 3, 1, 1, 2, 1, 1, 3, 1, 1, 0, 0, 2, 0, 3, 2, 3, 3, 4, 0, 2, 3, 3, 4, 1, 4, 4, 0, 0, 3, 0, 0, 4, 3, 2, 4, 2, 2, 1, 2, 2, 3, 1, 2, 3, 4, 3, 3, 1, 3, 4, 2, 3, 3, 3, 0, 1, 0, 1, 2, 0, 0, 0, 3, 2, 3, 0, 1, 4, 4, 1, 3, 1, 1, 3, 3, 0, 3, 0, 3, 1, 3, 2, 1, 3, 0, 4] pubkeycol1387 = [0, 0, 2, 0, 2, 2, 3, 0, 2, 0, 2, 3, 2, 0, 1, 1, 3, 1, 2, 2, 4, 1, 0, 1, 4, 2, 0, 0, 2, 1, 0, 1, 2, 1, 3, 1, 3, 0, 4, 0, 2, 2, 2, 4, 4, 2, 2, 3, 2, 2, 0, 3, 3, 4, 2, 1, 2, 1, 0, 1, 4, 2, 4, 1, 3, 4, 0, 4, 2, 4, 2, 2, 4, 1, 2, 2, 0, 0, 4, 1, 0, 0, 0, 3, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 4, 2, 4, 1, 0, 2, 0, 2, 1, 1, 2, 1, 3, 2, 0, 3, 2, 1, 4, 4, 0, 0, 1, 0, 2, 3, 1, 4, 3, 0, 1, 4, 1, 2, 1, 2, 0, 1, 2, 0, 4, 1, 0, 3, 4, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 3, 3, 2, 2, 1, 0, 4, 3, 0, 1, 2, 0, 4, 3, 1, 1, 4, 0, 0, 2, 3, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 4, 4, 0, 3, 3, 3, 4, 0, 2, 2, 0, 1, 1, 0, 0, 2, 3, 1, 2, 4, 3, 0, 4, 4, 2, 1, 0, 1, 0, 4, 4, 0, 0, 3, 3, 4, 1, 1, 0, 3, 0, 3, 4, 3, 0, 1, 3, 0, 0, 2, 3, 2, 0, 3, 3, 4, 0, 1, 1, 2, 4, 4, 1, 4, 4, 0, 4, 4, 4, 4, 2, 1, 2, 3, 4, 0, 4, 4, 2, 0, 2, 4, 4, 1, 4, 4, 0, 2, 1, 4, 1, 1, 1, 4, 2, 4, 2, 1, 2, 0, 3, 3, 1, 2, 4, 0, 4, 4, 4, 2, 2, 0, 1, 4, 3, 0, 0, 2, 2, 0, 1, 1, 3, 1, 0, 4, 4, 0, 0, 4, 1, 1, 0, 4, 2, 1, 3, 0, 4, 4, 2, 0, 4, 4, 2, 2, 4, 2, 4, 4, 0, 0, 0, 3, 4, 1, 1, 1, 0, 4, 3, 3, 0, 1, 2, 3, 4, 0, 2, 1, 2, 2, 0, 2, 4, 2, 4, 4, 4, 4, 0, 3, 2, 3, 2, 2, 2, 3, 1, 2, 1, 3, 0, 4, 3, 0, 2, 1, 2, 1, 4, 1, 2, 2, 3, 0, 0] pubkeycol1388 = [4, 3, 2, 4, 3, 3, 3, 4, 4, 3, 1, 4, 3, 3, 0, 3, 4, 3, 0, 1, 4, 3, 0, 1, 4, 4, 0, 1, 4, 2, 2, 4, 0, 4, 2, 2, 3, 4, 2, 1, 0, 4, 1, 2, 4, 4, 3, 4, 4, 3, 2, 2, 3, 4, 3, 4, 2, 4, 3, 4, 2, 1, 3, 2, 1, 4, 1, 1, 4, 4, 4, 4, 3, 2, 0, 1, 0, 0, 4, 1, 0, 1, 0, 2, 1, 0, 1, 4, 2, 3, 3, 4, 0, 3, 3, 0, 4, 0, 1, 2, 1, 4, 4, 4, 0, 1, 3, 3, 4, 0, 3, 3, 0, 2, 4, 4, 1, 3, 1, 0, 2, 4, 3, 4, 1, 0, 0, 4, 3, 0, 2, 1, 2, 1, 3, 2, 2, 4, 3, 1, 1, 1, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 4, 3, 3, 2, 0, 4, 1, 0, 4, 4, 0, 4, 3, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 2, 1, 3, 4, 1, 1, 0, 0, 0, 2, 3, 2, 4, 4, 1, 1, 4, 4, 1, 3, 3, 3, 1, 2, 2, 4, 3, 3, 1, 4, 3, 3, 4, 3, 1, 4, 2, 4, 0, 3, 3, 0, 3, 4, 1, 1, 3, 4, 3, 2, 0, 0, 0, 3, 4, 1, 2, 2, 4, 4, 1, 4, 2, 2, 3, 3, 4, 0, 1, 4, 2, 2, 0, 2, 0, 0, 0, 3, 3, 0, 1, 0, 4, 2, 2, 0, 4, 1, 1, 3, 4, 1, 1, 2, 2, 4, 1, 3, 1, 1, 1, 4, 2, 2, 0, 2, 3, 1, 0, 4, 3, 4, 1, 4, 1, 2, 3, 3, 1, 2, 1, 0, 3, 0, 3, 4, 0, 0, 4, 1, 4, 0, 2, 3, 1, 2, 0, 2, 3, 0, 2, 4, 1, 3, 0, 4, 0, 1, 2, 2, 3, 1, 2, 0, 3, 0, 4, 2, 3, 3, 1, 3, 2, 2, 4, 4, 4, 1, 1, 0, 3, 0, 2, 4, 3, 1, 0, 3, 0, 1, 4, 1, 1, 0, 2, 4, 3, 2, 2, 3, 3, 4, 3, 1, 3, 3, 0, 0, 0, 0, 4, 4, 2, 0, 1, 1, 3, 2, 4, 3, 0, 3, 3, 3, 4, 2, 0, 2, 2, 0, 0, 3, 4, 0, 3] pubkeycol1389 = [2, 2, 2, 0, 1, 2, 4, 2, 2, 0, 2, 0, 4, 2, 4, 1, 3, 1, 0, 0, 3, 2, 4, 4, 2, 3, 3, 3, 0, 0, 3, 1, 4, 1, 0, 4, 2, 4, 4, 1, 0, 2, 3, 1, 0, 1, 4, 3, 4, 4, 2, 3, 1, 0, 0, 1, 2, 4, 0, 3, 3, 3, 2, 1, 2, 4, 2, 3, 4, 0, 2, 1, 3, 3, 1, 0, 2, 4, 0, 0, 2, 0, 3, 3, 3, 4, 4, 1, 1, 0, 0, 1, 0, 2, 0, 4, 3, 3, 2, 4, 2, 1, 1, 3, 4, 0, 2, 4, 3, 0, 2, 4, 4, 2, 2, 3, 1, 0, 3, 4, 4, 2, 4, 4, 3, 3, 4, 2, 1, 4, 1, 2, 4, 4, 4, 4, 0, 3, 0, 3, 4, 4, 3, 0, 1, 4, 3, 4, 1, 2, 3, 1, 3, 2, 4, 2, 2, 4, 2, 4, 3, 2, 4, 3, 0, 2, 4, 0, 1, 4, 1, 4, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 1, 2, 4, 3, 4, 3, 1, 0, 4, 0, 2, 1, 4, 4, 4, 2, 4, 0, 1, 1, 4, 4, 0, 0, 1, 0, 3, 4, 4, 1, 4, 0, 2, 1, 2, 0, 1, 0, 3, 4, 0, 0, 1, 1, 1, 2, 4, 3, 0, 0, 2, 2, 3, 2, 1, 1, 4, 0, 4, 0, 1, 1, 1, 3, 2, 0, 3, 0, 2, 0, 2, 3, 4, 0, 4, 4, 4, 2, 0, 0, 4, 1, 4, 0, 3, 2, 1, 0, 4, 2, 2, 4, 3, 3, 0, 1, 0, 4, 0, 0, 0, 2, 1, 4, 1, 4, 3, 2, 3, 2, 2, 0, 2, 4, 0, 2, 1, 4, 0, 4, 2, 0, 0, 2, 1, 4, 2, 2, 1, 1, 4, 4, 2, 3, 2, 1, 1, 4, 3, 1, 2, 4, 4, 2, 2, 0, 3, 3, 0, 0, 4, 2, 4, 4, 3, 0, 1, 1, 2, 4, 3, 2, 2, 1, 0, 0, 2, 1, 4, 2, 3, 1, 2, 4, 0, 0, 2, 3, 3, 0, 2, 1, 3, 0, 4, 0, 4, 1, 1, 3, 4, 2, 3, 1, 2, 1, 0, 4, 1, 1, 2, 2, 2, 2, 2, 1, 4, 2, 2, 3, 3, 4, 0, 0, 2, 1, 2, 0] pubkeycol1390 = [4, 4, 3, 4, 1, 0, 1, 1, 4, 4, 1, 2, 3, 3, 0, 3, 4, 2, 4, 3, 1, 1, 1, 0, 1, 3, 0, 1, 3, 3, 1, 4, 4, 3, 0, 4, 1, 2, 2, 2, 0, 4, 0, 1, 4, 1, 2, 4, 1, 3, 0, 0, 4, 0, 4, 2, 4, 0, 4, 2, 3, 0, 1, 3, 4, 1, 1, 1, 1, 0, 3, 4, 4, 4, 3, 1, 0, 3, 3, 2, 2, 0, 3, 2, 2, 1, 4, 2, 2, 2, 0, 0, 2, 2, 4, 3, 3, 1, 4, 0, 2, 1, 3, 3, 2, 0, 2, 0, 1, 1, 2, 0, 3, 0, 2, 2, 2, 4, 3, 2, 2, 1, 2, 3, 0, 4, 2, 3, 1, 3, 2, 1, 4, 1, 3, 4, 1, 0, 1, 0, 1, 1, 3, 1, 1, 2, 0, 3, 3, 3, 1, 1, 2, 4, 2, 0, 4, 2, 1, 3, 3, 1, 1, 1, 0, 3, 1, 4, 0, 4, 4, 2, 2, 2, 0, 1, 3, 0, 0, 3, 4, 1, 4, 0, 3, 4, 2, 0, 4, 0, 0, 3, 2, 2, 3, 4, 4, 4, 4, 1, 0, 1, 2, 3, 4, 0, 1, 2, 2, 4, 3, 4, 2, 1, 4, 3, 4, 4, 2, 0, 1, 3, 2, 1, 3, 1, 2, 3, 1, 0, 3, 2, 0, 0, 2, 3, 2, 4, 1, 1, 1, 0, 0, 3, 1, 4, 2, 1, 1, 2, 1, 0, 2, 4, 0, 1, 2, 3, 1, 0, 1, 2, 1, 1, 4, 0, 3, 2, 1, 3, 4, 2, 1, 4, 2, 0, 0, 4, 0, 4, 3, 3, 4, 0, 2, 4, 3, 0, 2, 4, 3, 4, 2, 1, 0, 4, 0, 4, 2, 2, 4, 3, 0, 0, 3, 4, 1, 0, 3, 1, 3, 4, 1, 0, 0, 2, 1, 3, 2, 4, 4, 1, 2, 4, 2, 0, 1, 2, 0, 1, 4, 1, 3, 3, 4, 0, 2, 1, 0, 2, 3, 0, 1, 0, 0, 4, 2, 4, 4, 2, 2, 1, 1, 0, 3, 2, 3, 1, 3, 2, 4, 2, 0, 3, 0, 4, 1, 0, 0, 3, 0, 4, 1, 1, 2, 0, 0, 1, 3, 1, 4, 2, 2, 1, 3, 2, 0, 4, 0, 1, 0, 4, 3, 4, 1, 4, 1, 4, 0, 4] pubkeycol1391 = [3, 2, 3, 3, 2, 3, 1, 2, 2, 0, 3, 3, 2, 1, 1, 4, 4, 3, 3, 3, 2, 1, 4, 0, 3, 3, 0, 0, 1, 3, 0, 3, 0, 4, 0, 1, 3, 2, 3, 0, 0, 4, 3, 1, 4, 0, 3, 2, 0, 3, 2, 1, 0, 3, 0, 1, 0, 1, 1, 2, 4, 1, 0, 4, 3, 3, 4, 3, 4, 0, 0, 2, 3, 1, 2, 2, 3, 4, 4, 3, 4, 0, 2, 3, 3, 2, 0, 0, 4, 3, 3, 0, 4, 2, 1, 0, 3, 0, 1, 4, 2, 0, 3, 0, 1, 0, 2, 2, 2, 0, 2, 2, 3, 2, 3, 2, 0, 4, 4, 2, 2, 3, 4, 0, 1, 4, 3, 4, 0, 2, 3, 3, 2, 1, 3, 4, 2, 3, 2, 3, 3, 3, 0, 2, 3, 0, 1, 0, 4, 2, 1, 4, 4, 4, 0, 4, 4, 1, 1, 1, 3, 2, 0, 2, 0, 3, 2, 4, 0, 4, 1, 3, 0, 2, 2, 4, 1, 3, 4, 4, 3, 1, 1, 3, 0, 0, 4, 3, 3, 1, 1, 2, 0, 2, 4, 1, 0, 0, 1, 0, 4, 1, 0, 1, 2, 2, 0, 0, 3, 2, 1, 4, 4, 2, 0, 2, 3, 2, 3, 1, 2, 2, 4, 3, 3, 2, 2, 0, 2, 0, 4, 4, 3, 4, 0, 1, 2, 1, 1, 2, 3, 3, 0, 4, 4, 3, 3, 0, 2, 3, 0, 3, 1, 2, 2, 1, 0, 0, 3, 0, 0, 2, 0, 0, 2, 4, 2, 4, 2, 1, 4, 2, 4, 4, 1, 3, 1, 3, 4, 1, 4, 2, 3, 4, 0, 1, 2, 2, 2, 2, 3, 0, 4, 2, 0, 2, 2, 0, 3, 3, 2, 4, 2, 3, 3, 1, 3, 0, 3, 1, 1, 4, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 0, 0, 1, 4, 0, 1, 3, 2, 4, 4, 4, 1, 4, 2, 3, 4, 3, 0, 4, 0, 3, 1, 0, 0, 2, 0, 1, 1, 3, 0, 2, 0, 4, 3, 0, 3, 1, 1, 0, 2, 2, 0, 4, 3, 1, 3, 4, 1, 1, 0, 1, 3, 4, 0, 0, 4, 0, 4, 3, 3, 1, 3, 3, 0, 3, 2] pubkeycol1392 = [4, 4, 3, 2, 0, 4, 3, 3, 4, 0, 1, 1, 0, 4, 1, 0, 2, 2, 3, 0, 4, 2, 4, 2, 2, 1, 4, 3, 0, 2, 4, 4, 3, 4, 2, 1, 0, 2, 0, 4, 0, 2, 2, 1, 3, 2, 0, 4, 2, 4, 3, 4, 0, 3, 4, 0, 0, 1, 0, 2, 3, 4, 1, 4, 0, 3, 0, 2, 1, 0, 4, 0, 1, 4, 2, 4, 2, 1, 2, 1, 3, 2, 3, 3, 2, 1, 3, 4, 2, 0, 3, 3, 4, 0, 0, 4, 4, 0, 3, 1, 2, 0, 3, 2, 0, 4, 0, 0, 0, 0, 2, 1, 4, 3, 3, 2, 1, 0, 1, 3, 2, 1, 0, 1, 3, 1, 0, 1, 4, 2, 0, 1, 1, 1, 2, 3, 0, 0, 3, 3, 1, 0, 4, 1, 2, 1, 1, 4, 1, 1, 4, 1, 2, 1, 0, 3, 4, 0, 2, 2, 2, 2, 1, 2, 1, 4, 1, 0, 3, 0, 0, 2, 3, 2, 3, 0, 4, 3, 4, 3, 3, 3, 0, 4, 3, 2, 1, 2, 0, 2, 1, 1, 2, 3, 2, 2, 2, 0, 2, 3, 1, 0, 0, 0, 4, 0, 3, 0, 4, 3, 2, 1, 1, 4, 3, 2, 2, 4, 4, 0, 0, 4, 0, 2, 3, 3, 4, 1, 1, 0, 2, 3, 2, 1, 2, 3, 2, 2, 3, 2, 4, 3, 3, 2, 2, 2, 3, 1, 4, 4, 0, 4, 3, 1, 1, 2, 4, 3, 3, 2, 3, 1, 0, 3, 1, 2, 1, 3, 4, 0, 1, 1, 1, 0, 0, 2, 0, 4, 4, 4, 2, 4, 0, 4, 3, 4, 1, 2, 0, 0, 1, 3, 1, 0, 1, 1, 4, 3, 3, 2, 4, 3, 1, 2, 4, 3, 3, 1, 3, 4, 2, 1, 0, 3, 4, 4, 2, 3, 1, 0, 0, 4, 2, 4, 2, 2, 1, 0, 1, 1, 2, 2, 4, 2, 1, 3, 1, 0, 1, 1, 2, 4, 3, 2, 4, 0, 3, 2, 0, 2, 1, 3, 2, 2, 3, 4, 3, 4, 4, 1, 3, 3, 2, 3, 4, 0, 3, 2, 0, 2, 2, 1, 3, 3, 4, 4, 1, 4, 1, 3, 4, 3, 4, 0, 4, 2, 1, 3, 1, 0, 3, 2, 0, 1, 4, 2, 2, 3, 2, 0] pubkeycol1393 = [2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 3, 3, 3, 3, 0, 3, 3, 4, 2, 0, 1, 4, 2, 0, 3, 0, 4, 2, 1, 3, 4, 2, 3, 1, 4, 1, 3, 1, 0, 2, 3, 3, 1, 2, 2, 4, 0, 2, 1, 0, 0, 1, 3, 1, 1, 4, 1, 3, 4, 1, 4, 0, 3, 3, 1, 2, 2, 0, 2, 3, 0, 3, 1, 3, 3, 0, 4, 1, 2, 2, 4, 1, 3, 3, 1, 3, 0, 3, 4, 4, 1, 2, 4, 4, 3, 1, 2, 1, 3, 2, 0, 4, 1, 4, 0, 3, 3, 2, 3, 1, 0, 4, 0, 0, 0, 1, 2, 4, 1, 2, 4, 2, 0, 1, 2, 4, 0, 3, 1, 0, 4, 3, 0, 0, 2, 1, 3, 4, 1, 1, 2, 3, 2, 0, 1, 1, 3, 2, 2, 4, 0, 3, 2, 4, 1, 3, 4, 2, 3, 0, 4, 1, 2, 3, 2, 2, 4, 3, 2, 2, 0, 0, 3, 1, 0, 3, 1, 4, 0, 4, 4, 0, 4, 2, 2, 4, 0, 1, 0, 4, 1, 2, 1, 2, 3, 4, 1, 1, 2, 2, 1, 0, 1, 0, 3, 4, 3, 1, 4, 3, 2, 3, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 0, 1, 1, 2, 1, 3, 4, 4, 0, 4, 0, 4, 1, 2, 4, 2, 4, 2, 0, 2, 3, 2, 0, 4, 4, 0, 2, 4, 1, 0, 3, 3, 2, 1, 4, 1, 0, 1, 1, 0, 3, 1, 3, 2, 2, 0, 3, 2, 2, 3, 2, 1, 0, 0, 3, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 4, 3, 0, 0, 3, 4, 3, 4, 3, 3, 1, 2, 3, 4, 3, 4, 1, 0, 3, 4, 0, 4, 2, 1, 2, 1, 3, 3, 0, 3, 3, 3, 1, 2, 3, 2, 3, 1, 3, 2, 1, 3, 0, 3, 3, 0, 4, 1, 3, 2, 1, 3, 3, 0, 4, 2, 2, 3, 0, 0, 2, 4, 2, 3, 3, 4, 0, 3, 2, 1, 2, 1, 1, 3, 1, 0, 1, 3, 2, 2, 2, 4, 3, 3, 4, 0, 0, 4, 2, 3, 0, 3, 2, 3, 0, 4, 1, 1, 0, 3, 4, 1, 0, 4, 1, 2, 4, 0, 1, 3, 3, 4, 1] pubkeycol1394 = [2, 0, 3, 4, 1, 2, 0, 4, 0, 1, 2, 1, 1, 4, 3, 2, 2, 4, 4, 2, 0, 4, 4, 3, 1, 3, 4, 0, 1, 2, 3, 3, 0, 3, 2, 3, 2, 2, 2, 0, 4, 4, 2, 1, 2, 4, 1, 0, 2, 1, 0, 4, 3, 4, 4, 0, 1, 4, 4, 1, 1, 2, 2, 0, 1, 0, 2, 0, 4, 3, 3, 4, 0, 0, 0, 4, 3, 4, 4, 3, 0, 4, 1, 3, 2, 1, 4, 4, 1, 4, 4, 0, 0, 2, 1, 3, 2, 2, 3, 2, 2, 2, 1, 3, 2, 3, 4, 1, 0, 1, 3, 2, 3, 1, 1, 2, 1, 0, 2, 2, 4, 4, 4, 3, 0, 1, 3, 4, 4, 4, 3, 4, 1, 1, 4, 0, 4, 0, 1, 0, 0, 4, 1, 2, 3, 0, 3, 2, 3, 2, 1, 1, 0, 3, 2, 4, 1, 0, 2, 0, 1, 4, 3, 4, 4, 1, 2, 2, 4, 4, 0, 1, 2, 3, 4, 0, 4, 4, 1, 2, 4, 4, 2, 3, 2, 2, 0, 1, 1, 4, 2, 2, 0, 2, 3, 2, 3, 0, 1, 0, 1, 2, 0, 2, 0, 3, 3, 2, 1, 0, 1, 3, 1, 1, 1, 1, 0, 3, 1, 3, 1, 3, 2, 1, 0, 0, 3, 4, 3, 4, 2, 4, 3, 1, 0, 3, 2, 2, 3, 3, 0, 3, 1, 4, 2, 1, 4, 4, 1, 2, 2, 4, 4, 1, 2, 1, 2, 0, 1, 1, 3, 2, 1, 4, 2, 0, 3, 1, 3, 4, 4, 4, 0, 0, 2, 3, 1, 1, 0, 3, 0, 4, 2, 2, 4, 1, 2, 3, 0, 4, 0, 4, 1, 3, 3, 0, 1, 3, 4, 4, 2, 1, 3, 1, 2, 3, 0, 2, 3, 4, 3, 4, 1, 4, 3, 0, 1, 0, 1, 4, 3, 0, 3, 0, 1, 2, 2, 1, 0, 4, 2, 1, 0, 0, 2, 4, 2, 0, 4, 4, 0, 0, 3, 2, 3, 1, 1, 3, 0, 2, 2, 2, 0, 2, 4, 3, 4, 1, 4, 2, 1, 2, 1, 1, 2, 4, 4, 2, 3, 0, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 4, 2, 4, 1, 4, 1, 1, 1, 3, 0, 1, 3, 2, 1, 1, 0, 0, 1, 1, 4] pubkeycol1395 = [2, 4, 3, 2, 4, 3, 4, 0, 3, 1, 0, 1, 1, 2, 0, 3, 3, 3, 1, 0, 3, 4, 1, 1, 4, 3, 2, 3, 0, 2, 4, 0, 2, 0, 4, 3, 4, 4, 1, 4, 2, 2, 4, 2, 3, 2, 3, 0, 4, 2, 2, 1, 3, 4, 0, 0, 2, 4, 3, 2, 1, 1, 1, 4, 4, 2, 0, 3, 1, 3, 1, 0, 4, 0, 2, 0, 4, 1, 4, 4, 0, 3, 4, 2, 3, 3, 1, 0, 3, 1, 4, 2, 3, 3, 0, 2, 2, 4, 0, 1, 0, 0, 1, 4, 4, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 4, 1, 2, 3, 2, 0, 0, 2, 2, 1, 3, 3, 3, 3, 1, 3, 4, 1, 2, 2, 3, 3, 0, 1, 1, 4, 3, 2, 2, 0, 1, 3, 3, 2, 0, 1, 2, 4, 0, 3, 2, 0, 0, 2, 0, 4, 3, 3, 3, 2, 3, 0, 4, 0, 3, 2, 2, 3, 4, 3, 2, 4, 4, 0, 2, 4, 1, 4, 1, 1, 4, 3, 4, 1, 1, 2, 4, 0, 3, 3, 4, 2, 4, 2, 4, 0, 2, 4, 3, 0, 4, 3, 2, 2, 2, 1, 3, 1, 2, 0, 0, 2, 1, 2, 1, 1, 4, 4, 0, 4, 0, 3, 4, 0, 2, 3, 0, 3, 4, 3, 0, 3, 2, 1, 4, 0, 4, 3, 1, 0, 4, 2, 3, 4, 4, 0, 2, 1, 1, 2, 0, 3, 4, 0, 1, 0, 0, 2, 1, 1, 1, 1, 4, 0, 3, 1, 4, 0, 1, 2, 2, 1, 4, 2, 4, 2, 3, 2, 2, 4, 1, 4, 3, 4, 2, 2, 3, 1, 3, 0, 0, 0, 1, 0, 4, 4, 4, 4, 4, 3, 3, 2, 4, 3, 4, 1, 1, 3, 2, 1, 0, 2, 1, 3, 2, 4, 0, 1, 2, 0, 1, 3, 1, 3, 0, 3, 4, 4, 1, 2, 2, 2, 2, 2, 3, 2, 3, 0, 0, 2, 4, 1, 0, 0, 0, 3, 0, 4, 3, 2, 4, 2, 4, 3, 1, 1, 3, 1, 2, 2, 2, 1, 0, 4, 2, 2, 1, 0, 2, 1, 3, 1, 2, 0, 2, 2, 4, 3, 0, 2, 2, 3, 2, 4, 1, 3, 0, 4, 2, 2, 1, 4, 1, 0] pubkeycol1396 = [0, 2, 1, 1, 1, 2, 4, 3, 0, 1, 4, 0, 4, 1, 0, 2, 3, 2, 1, 2, 3, 4, 4, 3, 3, 2, 1, 1, 1, 3, 4, 1, 2, 1, 0, 0, 3, 0, 1, 4, 4, 4, 3, 2, 1, 4, 1, 1, 0, 2, 3, 3, 4, 1, 1, 3, 2, 2, 4, 1, 0, 0, 1, 4, 4, 2, 0, 3, 3, 2, 3, 1, 1, 0, 1, 4, 3, 1, 3, 1, 3, 1, 4, 2, 4, 0, 0, 2, 2, 4, 1, 2, 0, 1, 2, 2, 2, 1, 4, 4, 2, 4, 1, 3, 0, 4, 2, 3, 3, 1, 2, 4, 2, 0, 1, 3, 4, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 0, 4, 1, 0, 1, 3, 2, 3, 4, 1, 1, 1, 3, 4, 2, 3, 2, 1, 4, 4, 1, 1, 4, 0, 3, 3, 1, 3, 4, 1, 1, 3, 4, 3, 3, 3, 1, 2, 4, 0, 0, 0, 1, 0, 2, 1, 3, 2, 2, 2, 4, 2, 4, 3, 2, 4, 1, 4, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 4, 2, 0, 0, 1, 0, 0, 2, 4, 4, 0, 4, 0, 3, 1, 2, 0, 0, 1, 3, 4, 0, 0, 2, 2, 4, 2, 3, 4, 2, 4, 0, 2, 3, 4, 3, 0, 3, 2, 1, 4, 4, 2, 2, 1, 1, 2, 3, 2, 3, 3, 4, 2, 3, 1, 1, 1, 4, 4, 0, 2, 3, 2, 3, 4, 2, 2, 2, 0, 3, 0, 1, 0, 4, 4, 4, 4, 0, 0, 0, 3, 1, 3, 3, 2, 0, 4, 4, 1, 1, 3, 4, 1, 3, 0, 0, 1, 1, 0, 2, 4, 2, 0, 4, 4, 4, 0, 4, 3, 2, 4, 1, 3, 2, 0, 1, 2, 3, 3, 0, 1, 3, 3, 2, 1, 2, 2, 1, 4, 4, 4, 0, 1, 1, 4, 3, 4, 2, 2, 4, 0, 0, 1, 3, 0, 2, 1, 0, 4, 2, 2, 0, 2, 4, 4, 0, 4, 1, 4, 3, 3, 2, 2, 2, 3, 1, 2, 3, 1, 4, 3, 0, 4, 3, 1, 2, 2, 0, 1, 2, 4, 3, 4, 4, 2, 1, 4, 4, 3, 1, 1, 1, 1, 3, 4, 3, 1, 1, 2, 0, 1, 3] pubkeycol1397 = [1, 4, 4, 4, 1, 0, 3, 3, 2, 0, 1, 4, 2, 1, 4, 2, 0, 1, 0, 4, 1, 2, 4, 1, 0, 2, 0, 1, 3, 2, 0, 4, 3, 2, 3, 1, 4, 2, 1, 4, 3, 1, 4, 3, 3, 3, 3, 3, 4, 0, 0, 4, 4, 1, 0, 1, 3, 4, 0, 3, 4, 1, 3, 1, 1, 2, 2, 4, 4, 1, 0, 2, 1, 2, 4, 1, 0, 3, 4, 4, 4, 3, 1, 0, 0, 0, 3, 2, 0, 3, 2, 3, 1, 0, 1, 0, 4, 0, 0, 4, 1, 4, 3, 2, 3, 3, 1, 2, 4, 3, 0, 0, 1, 4, 0, 1, 1, 1, 2, 3, 2, 2, 3, 3, 4, 0, 3, 2, 3, 2, 4, 3, 3, 0, 0, 0, 0, 4, 2, 1, 0, 0, 1, 2, 1, 1, 0, 3, 3, 1, 3, 4, 0, 1, 3, 4, 4, 1, 2, 1, 4, 3, 0, 2, 2, 3, 4, 4, 3, 3, 3, 1, 0, 0, 4, 0, 0, 3, 1, 4, 1, 3, 1, 1, 2, 3, 2, 0, 3, 2, 2, 1, 2, 4, 4, 1, 4, 1, 3, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 3, 2, 4, 0, 3, 0, 2, 2, 0, 1, 0, 3, 3, 2, 2, 4, 3, 3, 4, 0, 2, 4, 1, 4, 4, 3, 2, 2, 3, 4, 4, 1, 1, 1, 4, 4, 0, 3, 3, 1, 4, 1, 1, 3, 3, 3, 2, 2, 4, 3, 1, 3, 3, 1, 2, 3, 0, 4, 4, 4, 4, 0, 4, 0, 0, 3, 3, 0, 1, 4, 3, 4, 2, 3, 3, 0, 1, 1, 4, 0, 4, 4, 1, 1, 2, 4, 3, 2, 1, 0, 1, 1, 2, 4, 4, 1, 3, 3, 1, 1, 4, 4, 2, 2, 3, 0, 4, 2, 3, 1, 0, 1, 1, 1, 3, 0, 0, 3, 3, 1, 4, 2, 4, 2, 2, 4, 0, 3, 2, 3, 3, 3, 0, 3, 1, 1, 0, 1, 3, 0, 0, 2, 3, 1, 2, 0, 3, 3, 1, 1, 1, 4, 0, 3, 0, 1, 3, 1, 1, 0, 0, 3, 2, 4, 1, 2, 4, 1, 2, 1, 0, 0, 4, 3, 1, 4, 1, 3, 4, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 4, 0] pubkeycol1398 = [0, 3, 4, 0, 1, 4, 2, 2, 2, 1, 0, 3, 2, 2, 4, 3, 3, 4, 2, 0, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 4, 0, 0, 0, 0, 1, 4, 2, 1, 4, 1, 3, 3, 3, 1, 2, 2, 2, 4, 2, 3, 2, 1, 4, 0, 0, 2, 0, 1, 3, 2, 1, 0, 0, 1, 4, 2, 3, 1, 1, 0, 3, 1, 3, 0, 0, 0, 3, 3, 3, 0, 0, 4, 4, 3, 2, 4, 2, 1, 4, 2, 1, 3, 1, 3, 0, 2, 4, 0, 3, 2, 0, 4, 1, 3, 1, 4, 1, 1, 0, 4, 4, 2, 4, 1, 1, 4, 4, 3, 3, 3, 0, 4, 1, 4, 3, 0, 4, 4, 1, 1, 0, 3, 3, 2, 2, 1, 0, 3, 4, 4, 4, 2, 2, 1, 2, 1, 1, 0, 3, 4, 2, 0, 1, 2, 0, 4, 4, 0, 0, 4, 1, 1, 2, 0, 3, 0, 3, 3, 4, 4, 4, 2, 4, 0, 3, 0, 3, 2, 4, 3, 1, 3, 4, 3, 4, 4, 1, 2, 2, 3, 3, 4, 0, 4, 3, 0, 4, 0, 0, 0, 2, 4, 1, 0, 1, 4, 1, 2, 4, 0, 0, 0, 3, 0, 2, 1, 4, 3, 2, 1, 1, 4, 1, 4, 1, 2, 4, 2, 3, 4, 4, 2, 2, 3, 1, 0, 4, 4, 3, 4, 1, 3, 4, 4, 3, 3, 1, 2, 3, 1, 3, 2, 2, 4, 4, 4, 2, 1, 3, 0, 1, 0, 4, 4, 2, 2, 3, 4, 2, 4, 1, 0, 2, 2, 4, 3, 1, 4, 2, 2, 3, 4, 0, 0, 2, 3, 0, 2, 2, 2, 2, 4, 4, 1, 4, 2, 4, 1, 1, 3, 4, 4, 3, 0, 4, 1, 1, 2, 3, 4, 2, 4, 2, 4, 2, 4, 4, 1, 1, 0, 1, 0, 1, 1, 3, 0, 1, 4, 0, 4, 3, 2, 0, 2, 2, 4, 3, 3, 1, 4, 2, 2, 1, 2, 2, 4, 2, 4, 0, 4, 3, 0, 2, 0, 1, 3, 1, 4, 4, 4, 2, 1, 1, 1, 1, 2, 4, 4, 0, 4, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 4, 4, 2, 1, 1, 1, 3, 1, 3, 2, 1, 1, 3, 3, 1, 4, 1, 1, 4] pubkeycol1399 = [2, 4, 0, 2, 2, 1, 3, 2, 3, 1, 0, 2, 1, 0, 4, 2, 2, 1, 1, 3, 4, 1, 4, 1, 2, 2, 0, 2, 1, 0, 3, 1, 0, 0, 0, 4, 1, 1, 3, 2, 4, 0, 3, 4, 0, 4, 1, 2, 4, 1, 2, 4, 3, 2, 1, 4, 1, 0, 3, 1, 2, 1, 2, 1, 3, 2, 3, 4, 1, 2, 1, 0, 3, 4, 3, 1, 2, 3, 2, 1, 2, 1, 0, 3, 0, 4, 1, 4, 0, 3, 2, 3, 3, 0, 3, 1, 2, 0, 0, 4, 3, 2, 4, 1, 0, 2, 4, 4, 0, 2, 2, 1, 1, 4, 0, 1, 1, 3, 2, 1, 3, 4, 4, 4, 3, 3, 4, 2, 4, 4, 0, 0, 0, 3, 4, 0, 4, 2, 2, 1, 1, 3, 4, 4, 4, 3, 0, 0, 3, 1, 2, 2, 3, 0, 1, 3, 1, 4, 1, 3, 0, 2, 1, 3, 3, 0, 2, 0, 3, 2, 3, 0, 2, 0, 4, 2, 3, 4, 4, 1, 4, 0, 2, 2, 3, 2, 1, 3, 4, 1, 4, 2, 2, 3, 4, 3, 3, 4, 0, 2, 4, 1, 1, 2, 0, 3, 4, 4, 1, 2, 0, 3, 3, 4, 2, 4, 3, 0, 0, 2, 2, 1, 0, 0, 0, 2, 4, 3, 0, 0, 0, 1, 0, 0, 3, 1, 3, 1, 0, 4, 3, 0, 3, 0, 0, 4, 1, 4, 4, 3, 1, 4, 4, 4, 1, 1, 4, 0, 3, 4, 3, 3, 2, 4, 2, 3, 3, 4, 2, 0, 3, 1, 2, 0, 1, 0, 0, 0, 3, 0, 3, 3, 2, 0, 4, 2, 3, 4, 4, 0, 0, 3, 0, 3, 0, 1, 1, 1, 0, 1, 3, 2, 1, 0, 2, 0, 3, 1, 4, 2, 4, 4, 1, 4, 1, 1, 0, 4, 3, 3, 1, 3, 2, 3, 2, 1, 4, 3, 1, 3, 1, 2, 2, 2, 0, 4, 2, 2, 3, 0, 4, 3, 1, 3, 0, 4, 4, 2, 4, 3, 1, 3, 2, 1, 4, 3, 3, 4, 1, 3, 1, 3, 2, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 1, 3, 0, 1, 3, 0, 1, 0, 1, 4, 1, 0, 2, 4, 2, 3, 4, 0, 4, 4, 3, 2, 1, 3, 3, 3, 4] pubkeycol1400 = [1, 1, 4, 3, 1, 2, 3, 1, 4, 3, 4, 3, 4, 0, 2, 0, 2, 2, 3, 2, 0, 3, 3, 3, 0, 4, 0, 2, 2, 4, 2, 0, 1, 1, 2, 4, 0, 1, 4, 0, 0, 0, 2, 3, 0, 3, 1, 3, 4, 2, 1, 2, 2, 2, 2, 4, 1, 4, 0, 4, 3, 2, 2, 0, 4, 1, 1, 0, 1, 3, 2, 2, 2, 0, 2, 0, 2, 4, 2, 3, 4, 0, 2, 2, 3, 2, 0, 0, 3, 4, 2, 4, 3, 1, 4, 0, 0, 2, 0, 3, 0, 2, 2, 0, 1, 1, 1, 1, 3, 0, 3, 1, 2, 2, 0, 4, 2, 4, 3, 4, 1, 4, 2, 3, 2, 3, 1, 3, 4, 1, 0, 2, 3, 3, 0, 4, 3, 2, 0, 0, 2, 1, 2, 3, 0, 3, 3, 1, 0, 3, 4, 0, 4, 2, 2, 2, 3, 4, 2, 0, 4, 2, 4, 0, 4, 3, 1, 2, 0, 1, 3, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 3, 4, 1, 1, 0, 1, 3, 0, 4, 4, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 4, 1, 0, 4, 2, 0, 3, 1, 2, 0, 3, 3, 0, 0, 0, 4, 4, 3, 2, 2, 1, 1, 2, 2, 3, 0, 1, 1, 1, 3, 3, 1, 1, 1, 4, 3, 0, 2, 2, 2, 4, 3, 3, 3, 0, 3, 4, 0, 0, 4, 3, 2, 2, 1, 2, 0, 4, 2, 1, 1, 1, 1, 2, 4, 4, 3, 4, 0, 1, 1, 3, 1, 4, 0, 0, 2, 1, 2, 1, 4, 0, 3, 0, 4, 3, 4, 4, 3, 3, 0, 0, 1, 0, 0, 4, 1, 1, 1, 2, 1, 2, 0, 2, 4, 3, 1, 1, 0, 3, 2, 0, 0, 4, 0, 3, 0, 2, 2, 1, 1, 2, 4, 1, 2, 4, 1, 3, 4, 1, 1, 0, 4, 2, 0, 4, 2, 1, 0, 1, 4, 2, 4, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 0, 0, 3, 2, 2, 1, 0, 4, 1, 1, 2, 3, 4, 4, 4, 4, 1, 4, 2, 3, 1, 4, 3, 1, 1, 2, 0, 3, 2, 3, 4, 0, 4, 2, 1, 1, 2, 0, 3, 3, 0, 3] pubkeycol1401 = [2, 1, 2, 1, 1, 1, 2, 3, 0, 3, 4, 4, 3, 1, 4, 2, 1, 1, 2, 2, 0, 3, 1, 0, 3, 0, 4, 4, 4, 0, 4, 4, 2, 1, 0, 0, 3, 1, 4, 0, 3, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 2, 3, 1, 0, 4, 0, 0, 2, 4, 2, 2, 1, 4, 4, 2, 0, 1, 0, 4, 4, 1, 3, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 3, 4, 4, 2, 4, 3, 2, 3, 2, 2, 3, 2, 4, 0, 0, 0, 4, 4, 3, 2, 3, 0, 1, 4, 2, 3, 2, 0, 3, 1, 2, 1, 4, 0, 1, 1, 0, 4, 2, 3, 4, 4, 3, 2, 4, 4, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 3, 1, 4, 2, 1, 1, 1, 0, 3, 0, 3, 0, 2, 4, 4, 0, 3, 0, 0, 3, 2, 3, 1, 4, 0, 2, 2, 4, 2, 2, 2, 0, 3, 4, 2, 3, 4, 4, 1, 1, 0, 3, 0, 0, 4, 4, 2, 2, 1, 1, 3, 3, 2, 3, 3, 4, 1, 3, 1, 4, 3, 0, 4, 0, 0, 1, 4, 4, 4, 1, 2, 1, 4, 4, 3, 2, 4, 3, 4, 3, 4, 3, 2, 2, 4, 1, 2, 0, 1, 1, 1, 4, 3, 0, 3, 1, 4, 4, 4, 2, 1, 1, 0, 2, 0, 2, 2, 3, 1, 1, 4, 2, 2, 1, 2, 2, 4, 0, 1, 3, 0, 4, 4, 0, 3, 2, 3, 2, 2, 0, 4, 3, 3, 2, 1, 3, 0, 1, 0, 4, 2, 0, 4, 2, 3, 1, 4, 0, 1, 0, 0, 4, 2, 4, 2, 1, 3, 4, 2, 0, 2, 4, 1, 0, 0, 3, 0, 1, 4, 4, 4, 0, 2, 1, 2, 1, 4, 4, 2, 4, 2, 4, 1, 1, 2, 3, 1, 0, 4, 0, 2, 0, 4, 0, 1, 2, 1, 1, 4, 0, 2, 1, 0, 3, 0, 0, 1, 1, 1, 4, 4, 2, 0, 2, 0, 3, 2, 2, 3, 2, 4, 3, 4, 4, 1, 3, 0, 4, 0, 2, 3, 2, 4, 4, 1, 2, 1, 4, 3, 1, 0, 4, 3, 3, 2, 0, 0, 4, 3, 1, 0, 1, 4, 1, 3, 4, 0] pubkeycol1402 = [4, 1, 3, 2, 0, 2, 4, 2, 4, 0, 3, 4, 0, 1, 4, 4, 0, 1, 2, 3, 4, 1, 3, 1, 4, 3, 1, 3, 3, 1, 0, 3, 1, 0, 3, 1, 2, 2, 1, 4, 4, 4, 4, 2, 3, 3, 1, 0, 0, 4, 0, 4, 0, 3, 2, 4, 0, 0, 2, 0, 4, 2, 3, 4, 0, 3, 0, 2, 2, 0, 3, 3, 2, 2, 3, 3, 1, 1, 4, 3, 4, 2, 0, 3, 1, 1, 3, 3, 4, 4, 1, 3, 1, 1, 2, 3, 2, 0, 0, 2, 0, 2, 0, 3, 2, 3, 1, 4, 1, 1, 2, 3, 2, 2, 4, 2, 4, 0, 3, 2, 1, 0, 2, 3, 1, 2, 4, 1, 3, 4, 3, 2, 2, 2, 1, 4, 2, 3, 3, 1, 1, 2, 2, 1, 1, 1, 0, 3, 1, 0, 4, 0, 3, 0, 3, 3, 0, 1, 3, 3, 3, 0, 3, 2, 0, 2, 1, 1, 3, 3, 4, 2, 2, 1, 2, 3, 3, 4, 0, 2, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 3, 3, 1, 4, 1, 2, 0, 0, 1, 1, 0, 2, 4, 3, 4, 0, 2, 1, 3, 4, 2, 4, 1, 3, 1, 4, 2, 2, 3, 1, 1, 0, 3, 0, 2, 3, 0, 3, 0, 4, 0, 0, 4, 0, 2, 0, 1, 3, 0, 4, 2, 0, 1, 2, 3, 0, 4, 1, 0, 1, 1, 1, 4, 4, 4, 0, 4, 4, 2, 4, 3, 1, 3, 2, 2, 4, 0, 3, 0, 1, 1, 3, 0, 2, 2, 1, 0, 1, 4, 0, 0, 4, 2, 2, 2, 2, 1, 2, 4, 3, 2, 3, 2, 3, 1, 0, 1, 2, 3, 4, 4, 2, 1, 2, 3, 1, 3, 3, 0, 2, 1, 2, 4, 4, 0, 0, 0, 1, 4, 2, 2, 2, 1, 3, 4, 2, 2, 3, 0, 1, 0, 0, 4, 3, 4, 2, 1, 0, 0, 4, 1, 3, 0, 4, 2, 0, 1, 2, 2, 4, 3, 2, 4, 1, 0, 3, 4, 2, 4, 4, 2, 1, 1, 3, 3, 2, 1, 4, 1, 0, 4, 2, 1, 4, 0, 2, 4, 1, 1, 0, 0, 0, 4, 2, 1, 2, 4, 2, 2, 3, 3, 1, 3, 3, 0, 4] pubkeycol1403 = [3, 0, 3, 1, 0, 2, 0, 1, 0, 3, 2, 2, 3, 2, 1, 0, 3, 1, 1, 2, 4, 2, 3, 2, 3, 4, 3, 0, 1, 4, 3, 3, 2, 2, 0, 2, 0, 2, 4, 2, 1, 3, 3, 4, 2, 2, 0, 4, 3, 2, 3, 0, 3, 3, 4, 1, 3, 0, 1, 4, 4, 0, 3, 0, 3, 3, 0, 2, 3, 4, 2, 2, 2, 3, 3, 3, 4, 3, 1, 1, 4, 3, 0, 2, 3, 4, 2, 4, 3, 2, 2, 1, 0, 4, 1, 2, 4, 4, 0, 0, 2, 2, 1, 4, 1, 3, 0, 1, 4, 0, 4, 3, 2, 3, 1, 2, 2, 4, 0, 4, 3, 2, 0, 4, 3, 1, 1, 4, 0, 2, 1, 0, 0, 3, 4, 0, 4, 4, 2, 1, 4, 0, 0, 1, 4, 2, 2, 4, 1, 4, 0, 0, 3, 3, 2, 2, 0, 1, 2, 0, 2, 4, 0, 3, 0, 3, 2, 3, 0, 0, 2, 3, 1, 3, 1, 3, 4, 1, 3, 3, 1, 4, 3, 2, 3, 3, 4, 3, 1, 0, 1, 0, 4, 3, 4, 1, 1, 0, 0, 3, 0, 0, 2, 3, 1, 3, 4, 3, 0, 2, 3, 1, 4, 3, 3, 3, 3, 3, 4, 2, 0, 2, 1, 0, 3, 0, 3, 1, 2, 2, 0, 1, 4, 2, 2, 4, 1, 3, 4, 2, 0, 2, 4, 4, 2, 1, 1, 2, 3, 0, 3, 1, 1, 4, 3, 1, 1, 0, 3, 0, 4, 0, 2, 3, 3, 3, 1, 4, 3, 3, 1, 0, 1, 1, 2, 4, 2, 4, 0, 4, 2, 4, 1, 0, 0, 0, 4, 1, 1, 0, 2, 1, 4, 3, 3, 4, 4, 3, 0, 1, 0, 2, 1, 1, 0, 4, 2, 4, 4, 2, 1, 2, 3, 1, 2, 3, 2, 0, 1, 0, 4, 3, 3, 4, 3, 2, 3, 2, 0, 3, 3, 4, 1, 2, 3, 1, 4, 0, 0, 0, 2, 1, 4, 1, 4, 2, 2, 0, 2, 1, 1, 4, 4, 0, 2, 1, 0, 3, 1, 4, 1, 2, 1, 2, 2, 3, 1, 0, 2, 0, 1, 0, 2, 4, 2, 3, 4, 2, 0, 1, 1, 0, 0, 1, 3, 3, 0, 1, 2, 4, 2, 3, 1, 1, 1, 2, 4, 2, 1, 1] pubkeycol1404 = [1, 3, 0, 1, 3, 1, 0, 3, 4, 2, 1, 4, 0, 1, 3, 4, 2, 0, 0, 1, 3, 0, 3, 3, 3, 1, 3, 3, 1, 3, 2, 2, 2, 2, 3, 1, 0, 2, 2, 4, 1, 4, 1, 3, 0, 3, 4, 4, 4, 4, 3, 3, 1, 0, 4, 4, 4, 3, 1, 0, 2, 3, 1, 2, 2, 3, 1, 4, 3, 1, 0, 4, 1, 0, 4, 3, 4, 1, 3, 3, 4, 1, 3, 4, 2, 1, 4, 2, 3, 4, 0, 0, 3, 1, 4, 0, 1, 2, 1, 3, 4, 4, 0, 2, 3, 2, 0, 0, 0, 1, 3, 3, 0, 2, 1, 2, 3, 3, 1, 0, 3, 2, 4, 3, 1, 4, 4, 3, 1, 2, 3, 3, 2, 2, 3, 1, 4, 4, 1, 1, 4, 4, 0, 4, 0, 2, 3, 1, 1, 4, 3, 3, 0, 4, 0, 2, 4, 0, 1, 1, 1, 4, 2, 4, 3, 2, 1, 4, 4, 0, 4, 4, 4, 0, 3, 2, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 3, 2, 2, 1, 1, 3, 1, 3, 2, 1, 0, 2, 0, 1, 4, 4, 2, 3, 2, 0, 1, 2, 2, 4, 2, 3, 3, 2, 2, 4, 3, 3, 2, 1, 0, 4, 0, 3, 2, 0, 2, 2, 4, 1, 0, 0, 3, 1, 1, 0, 1, 2, 3, 4, 0, 2, 3, 0, 4, 0, 3, 3, 3, 4, 4, 2, 2, 3, 1, 3, 1, 2, 3, 2, 0, 1, 1, 0, 0, 3, 0, 1, 1, 1, 2, 0, 2, 4, 0, 4, 2, 4, 4, 3, 4, 4, 3, 4, 0, 4, 1, 1, 4, 0, 3, 2, 1, 3, 1, 2, 4, 3, 1, 0, 2, 0, 0, 0, 4, 0, 3, 4, 4, 0, 3, 1, 2, 3, 0, 4, 3, 1, 1, 1, 3, 4, 1, 0, 3, 3, 2, 4, 0, 3, 1, 2, 2, 0, 0, 0, 4, 1, 4, 1, 3, 3, 1, 0, 3, 4, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 1, 4, 2, 3, 1, 4, 4, 3, 0, 3, 0, 2, 3, 2, 4, 4, 1, 0, 3, 1, 2, 1, 0, 4, 1, 1, 4, 0, 3, 2, 3, 2, 0, 0, 4, 2, 2, 1, 0, 0, 2, 0, 3] pubkeycol1405 = [1, 4, 2, 1, 3, 0, 2, 3, 3, 3, 4, 1, 1, 3, 3, 4, 4, 1, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 1, 2, 4, 1, 2, 0, 2, 3, 4, 4, 4, 3, 0, 0, 4, 1, 4, 3, 0, 3, 4, 0, 1, 3, 4, 1, 2, 3, 4, 3, 1, 4, 3, 2, 1, 0, 2, 2, 4, 2, 3, 1, 1, 2, 4, 3, 1, 1, 4, 3, 4, 4, 3, 4, 1, 2, 2, 2, 4, 0, 4, 4, 4, 2, 4, 1, 2, 4, 2, 2, 1, 0, 3, 1, 2, 1, 1, 0, 0, 4, 3, 3, 1, 0, 4, 4, 4, 0, 4, 4, 1, 2, 3, 0, 4, 1, 2, 3, 2, 4, 4, 4, 0, 4, 2, 3, 3, 4, 3, 1, 1, 1, 0, 2, 3, 1, 2, 4, 3, 4, 2, 4, 0, 2, 1, 3, 1, 1, 2, 4, 0, 0, 1, 1, 1, 1, 0, 4, 2, 2, 1, 3, 1, 2, 4, 4, 0, 2, 0, 4, 3, 2, 2, 0, 4, 0, 0, 2, 0, 1, 4, 4, 4, 1, 2, 0, 2, 4, 2, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 4, 3, 2, 0, 0, 2, 3, 3, 3, 4, 1, 4, 2, 3, 1, 0, 2, 2, 3, 1, 3, 3, 0, 1, 2, 4, 3, 0, 2, 1, 3, 4, 4, 1, 1, 2, 3, 3, 1, 2, 0, 3, 4, 3, 1, 2, 4, 2, 4, 1, 1, 0, 2, 2, 3, 3, 4, 2, 1, 4, 1, 1, 4, 3, 3, 4, 1, 1, 2, 0, 1, 1, 1, 3, 3, 2, 4, 3, 2, 2, 3, 0, 4, 1, 2, 3, 0, 1, 2, 0, 0, 1, 3, 0, 4, 0, 3, 2, 1, 1, 2, 4, 2, 4, 3, 2, 1, 3, 2, 1, 0, 4, 0, 2, 0, 2, 3, 0, 4, 4, 1, 1, 4, 1, 1, 0, 1, 0, 2, 4, 2, 2, 2, 4, 3, 3, 3, 4, 3, 4, 0, 0, 4, 2, 2, 1, 4, 1, 3, 1, 0, 1, 0, 0, 0, 4, 2, 1, 2, 1, 0, 4, 3, 2, 3, 3, 4, 3, 0, 2, 4, 4, 0, 2, 4, 1, 0, 0, 3, 3, 4, 0, 0, 4, 0, 4, 1, 2, 2, 4, 3, 2, 3] pubkeycol1406 = [3, 2, 3, 2, 1, 4, 3, 4, 2, 2, 1, 4, 2, 3, 4, 0, 4, 1, 2, 0, 0, 3, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 1, 4, 0, 2, 0, 4, 1, 2, 1, 3, 2, 3, 4, 0, 1, 3, 2, 0, 3, 1, 3, 3, 2, 2, 2, 0, 2, 2, 1, 2, 3, 0, 4, 3, 2, 1, 0, 2, 0, 2, 0, 4, 3, 4, 2, 4, 3, 0, 2, 3, 2, 4, 4, 2, 2, 0, 2, 1, 0, 0, 2, 4, 2, 0, 0, 4, 3, 4, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 3, 2, 0, 4, 4, 4, 0, 3, 2, 0, 4, 3, 1, 3, 3, 4, 2, 0, 0, 4, 3, 4, 0, 2, 4, 4, 1, 2, 3, 2, 3, 4, 4, 4, 0, 1, 2, 2, 2, 1, 2, 1, 3, 1, 4, 4, 1, 0, 3, 2, 1, 4, 2, 1, 4, 3, 3, 1, 2, 0, 4, 3, 4, 0, 0, 1, 3, 0, 2, 3, 0, 0, 3, 4, 2, 3, 4, 1, 4, 3, 2, 3, 4, 4, 2, 4, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 2, 3, 1, 0, 3, 0, 0, 4, 3, 3, 3, 2, 3, 2, 2, 4, 2, 2, 3, 4, 2, 3, 4, 4, 1, 3, 3, 0, 0, 4, 3, 3, 2, 0, 3, 3, 4, 4, 2, 4, 3, 2, 4, 0, 2, 1, 2, 1, 3, 4, 2, 3, 2, 4, 1, 4, 2, 3, 3, 1, 1, 4, 2, 2, 1, 1, 3, 0, 0, 3, 4, 3, 3, 0, 3, 3, 1, 0, 1, 2, 1, 4, 2, 2, 3, 2, 1, 2, 4, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 4, 2, 1, 0, 4, 0, 1, 2, 2, 1, 2, 4, 0, 1, 2, 2, 4, 1, 2, 4, 4, 1, 3, 4, 2, 0, 2, 1, 0, 2, 3, 4, 2, 2, 2, 3, 4, 3, 3, 4, 1, 1, 2, 4, 3, 3, 2, 1, 1, 3, 2, 1, 0, 1, 3, 3, 0, 3, 4, 0, 0, 4, 0, 0, 1, 3, 2, 0, 2, 4, 0, 4, 0, 0, 4, 1, 3, 0, 2, 3, 0, 1, 4, 3, 4, 1, 3, 1, 0] pubkeycol1407 = [1, 2, 1, 2, 3, 3, 2, 3, 0, 3, 3, 3, 4, 0, 1, 2, 0, 1, 0, 4, 4, 4, 4, 3, 0, 3, 0, 4, 3, 1, 2, 4, 2, 4, 1, 3, 3, 4, 2, 0, 1, 3, 0, 0, 0, 0, 0, 3, 4, 0, 2, 3, 4, 3, 3, 3, 3, 3, 3, 0, 3, 4, 0, 1, 2, 4, 2, 2, 4, 2, 2, 3, 3, 4, 3, 3, 2, 1, 1, 3, 0, 2, 4, 2, 2, 4, 3, 2, 3, 0, 1, 4, 3, 3, 3, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 2, 0, 1, 2, 2, 4, 2, 4, 2, 2, 4, 2, 3, 4, 2, 0, 2, 3, 2, 1, 3, 2, 2, 0, 1, 0, 1, 1, 3, 2, 2, 2, 4, 4, 3, 4, 0, 0, 1, 4, 3, 1, 1, 4, 1, 0, 0, 1, 2, 4, 2, 3, 2, 4, 4, 2, 4, 2, 0, 1, 4, 2, 3, 0, 3, 3, 0, 4, 0, 2, 2, 0, 4, 3, 1, 4, 3, 4, 1, 3, 2, 2, 0, 0, 0, 4, 3, 2, 3, 2, 2, 3, 2, 3, 4, 1, 1, 3, 4, 2, 1, 0, 0, 1, 4, 1, 0, 3, 1, 2, 2, 3, 2, 0, 2, 0, 0, 2, 4, 3, 0, 0, 1, 2, 3, 0, 0, 0, 0, 3, 3, 2, 4, 0, 0, 0, 0, 3, 4, 0, 3, 0, 1, 0, 0, 3, 3, 0, 0, 1, 2, 0, 4, 2, 4, 1, 0, 0, 0, 2, 2, 4, 2, 1, 1, 4, 0, 1, 4, 4, 0, 0, 3, 4, 4, 0, 2, 1, 3, 2, 4, 2, 0, 4, 3, 1, 4, 1, 3, 0, 4, 3, 2, 4, 3, 4, 1, 2, 0, 2, 3, 2, 2, 1, 4, 4, 0, 0, 2, 1, 4, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 4, 3, 3, 4, 4, 3, 4, 3, 4, 0, 2, 1, 3, 1, 1, 4, 0, 0, 0, 4, 2, 0, 2, 3, 4, 4, 1, 2, 0, 1, 2, 3, 1, 3, 3, 0, 1, 1, 4, 3, 3, 2, 3, 1, 2, 1, 0, 1, 4, 4, 0, 3, 4, 1, 2, 1, 0, 2, 0, 3, 4, 1, 2, 2, 0, 3, 2, 1] pubkeycol1408 = [4, 4, 2, 4, 0, 4, 1, 3, 1, 3, 4, 0, 1, 0, 4, 2, 4, 4, 3, 0, 4, 3, 4, 3, 0, 2, 2, 2, 2, 4, 2, 2, 1, 0, 2, 4, 3, 0, 4, 4, 0, 1, 4, 2, 3, 3, 1, 2, 4, 3, 1, 3, 0, 4, 0, 4, 0, 4, 0, 4, 4, 1, 3, 0, 1, 1, 4, 4, 0, 3, 2, 1, 0, 2, 3, 2, 1, 0, 4, 3, 1, 2, 0, 4, 3, 0, 4, 4, 2, 4, 1, 3, 4, 4, 2, 2, 2, 4, 1, 1, 4, 4, 3, 3, 0, 1, 0, 3, 1, 3, 2, 2, 2, 4, 4, 2, 2, 3, 2, 4, 4, 3, 1, 3, 0, 1, 2, 2, 0, 2, 0, 0, 4, 0, 2, 4, 3, 2, 0, 1, 1, 3, 1, 1, 4, 3, 3, 1, 3, 1, 4, 2, 3, 0, 0, 4, 3, 4, 3, 2, 3, 0, 4, 4, 4, 3, 4, 4, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 3, 0, 2, 4, 4, 3, 1, 2, 0, 2, 4, 0, 2, 1, 2, 3, 2, 0, 2, 3, 1, 2, 3, 3, 0, 2, 3, 4, 0, 2, 3, 4, 2, 4, 0, 0, 1, 3, 4, 4, 0, 3, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 1, 1, 0, 0, 1, 1, 1, 4, 4, 4, 2, 1, 2, 2, 4, 4, 4, 4, 3, 3, 1, 1, 4, 3, 4, 4, 2, 4, 2, 3, 2, 4, 2, 2, 2, 0, 4, 2, 2, 0, 0, 3, 2, 1, 3, 0, 3, 0, 2, 3, 0, 4, 1, 0, 3, 4, 3, 4, 4, 2, 1, 2, 3, 0, 2, 0, 0, 3, 1, 0, 0, 1, 4, 3, 4, 4, 4, 4, 1, 0, 4, 1, 3, 4, 0, 4, 4, 2, 3, 4, 2, 1, 3, 4, 4, 1, 4, 1, 2, 1, 0, 0, 0, 2, 3, 0, 2, 0, 4, 1, 1, 3, 1, 2, 4, 4, 0, 0, 2, 3, 3, 1, 2, 0, 2, 1, 3, 3, 2, 0, 2, 0, 4, 2, 4, 0, 3, 0, 3, 4, 0, 4, 1, 0, 1, 4, 1, 4, 4, 1, 2] pubkeycol1409 = [2, 3, 1, 0, 1, 3, 3, 3, 3, 2, 3, 4, 3, 4, 2, 1, 3, 1, 3, 3, 3, 2, 1, 1, 3, 2, 0, 0, 1, 2, 0, 4, 0, 0, 4, 2, 3, 2, 1, 2, 0, 3, 1, 3, 1, 0, 2, 1, 1, 0, 0, 3, 1, 0, 1, 2, 2, 0, 3, 3, 3, 1, 1, 0, 2, 4, 4, 2, 3, 0, 1, 2, 1, 1, 0, 0, 1, 4, 2, 0, 0, 0, 0, 4, 2, 3, 2, 3, 4, 3, 3, 3, 1, 1, 0, 1, 2, 0, 4, 2, 0, 4, 3, 1, 2, 3, 0, 0, 4, 4, 1, 0, 4, 4, 2, 1, 4, 0, 2, 4, 3, 2, 4, 4, 3, 2, 3, 4, 0, 4, 2, 2, 1, 2, 1, 2, 3, 3, 3, 4, 1, 3, 1, 4, 1, 2, 4, 2, 3, 0, 1, 0, 4, 3, 1, 1, 1, 0, 0, 0, 0, 2, 3, 1, 4, 2, 1, 3, 0, 1, 3, 1, 1, 1, 2, 4, 0, 1, 1, 4, 1, 0, 3, 4, 2, 0, 4, 1, 0, 3, 3, 0, 3, 2, 4, 1, 2, 0, 1, 0, 1, 4, 4, 1, 4, 1, 0, 1, 0, 4, 4, 1, 1, 3, 1, 0, 2, 0, 3, 1, 1, 2, 3, 0, 3, 3, 0, 1, 0, 0, 1, 1, 0, 4, 0, 1, 0, 4, 1, 4, 4, 4, 2, 1, 2, 0, 0, 3, 3, 2, 0, 1, 2, 2, 1, 4, 3, 2, 4, 1, 2, 4, 0, 0, 1, 3, 4, 3, 3, 3, 3, 2, 1, 4, 0, 2, 1, 1, 0, 2, 2, 4, 3, 1, 4, 1, 0, 0, 2, 2, 0, 4, 1, 0, 1, 0, 3, 0, 3, 4, 2, 4, 4, 1, 1, 0, 2, 3, 4, 4, 0, 0, 4, 2, 3, 4, 4, 3, 2, 2, 3, 0, 3, 0, 1, 3, 4, 0, 2, 0, 4, 2, 1, 3, 1, 2, 3, 4, 4, 3, 1, 4, 4, 3, 2, 4, 3, 2, 1, 4, 1, 2, 2, 1, 4, 3, 4, 3, 0, 2, 4, 2, 4, 3, 4, 1, 1, 4, 3, 3, 1, 1, 3, 0, 3, 3, 3, 1, 3, 2, 1, 4, 4, 2, 1, 0, 1, 0, 1, 4, 4, 3, 4, 3, 3, 1, 1, 1, 3, 1] pubkeycol1410 = [2, 3, 2, 3, 2, 0, 2, 2, 1, 4, 1, 2, 4, 0, 1, 3, 0, 1, 3, 4, 3, 1, 1, 4, 4, 1, 4, 1, 2, 4, 2, 0, 2, 4, 3, 2, 4, 2, 2, 3, 4, 1, 1, 3, 2, 0, 4, 0, 0, 3, 2, 0, 1, 4, 4, 1, 3, 0, 3, 2, 1, 3, 1, 1, 1, 0, 1, 3, 1, 1, 2, 0, 3, 3, 3, 1, 1, 4, 4, 1, 0, 2, 3, 2, 3, 2, 3, 3, 4, 0, 0, 4, 3, 3, 4, 4, 0, 4, 0, 1, 1, 2, 4, 1, 2, 1, 0, 3, 1, 3, 1, 4, 4, 1, 4, 0, 4, 0, 2, 0, 2, 3, 0, 2, 3, 3, 3, 1, 3, 4, 1, 4, 1, 0, 0, 2, 1, 3, 2, 4, 4, 1, 3, 3, 4, 3, 0, 3, 0, 1, 2, 1, 1, 4, 1, 2, 0, 3, 1, 3, 0, 3, 3, 3, 2, 3, 3, 3, 0, 3, 4, 3, 1, 4, 0, 0, 2, 0, 0, 2, 1, 1, 4, 3, 3, 1, 2, 1, 2, 4, 4, 3, 3, 0, 1, 1, 0, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 1, 1, 1, 2, 0, 1, 3, 3, 4, 3, 4, 1, 2, 4, 0, 0, 1, 1, 0, 1, 2, 0, 2, 4, 2, 4, 4, 2, 1, 0, 3, 2, 4, 3, 4, 3, 4, 2, 4, 1, 2, 2, 2, 3, 2, 1, 2, 4, 3, 4, 3, 4, 4, 3, 3, 3, 1, 0, 3, 0, 3, 0, 0, 2, 1, 4, 2, 0, 2, 1, 2, 0, 1, 4, 1, 0, 4, 0, 1, 2, 2, 1, 1, 4, 0, 3, 0, 2, 2, 1, 1, 3, 1, 4, 0, 4, 3, 0, 0, 4, 2, 3, 1, 3, 1, 1, 4, 0, 4, 4, 1, 2, 1, 2, 3, 4, 2, 2, 3, 0, 0, 2, 3, 4, 2, 2, 4, 2, 3, 1, 1, 0, 2, 3, 1, 1, 4, 2, 1, 4, 2, 0, 3, 1, 3, 2, 2, 2, 0, 4, 2, 2, 3, 1, 4, 2, 0, 3, 0, 1, 3, 1, 3, 1, 2, 4, 2, 1, 4, 1, 2, 1, 0, 4, 0, 1, 1, 3, 1, 2, 2, 4, 0, 4, 3, 4, 3, 1, 1, 1, 0, 3, 3] pubkeycol1411 = [3, 4, 4, 1, 0, 0, 4, 2, 3, 0, 3, 3, 0, 1, 3, 0, 2, 1, 4, 3, 1, 2, 3, 4, 3, 2, 2, 3, 1, 1, 0, 2, 4, 3, 0, 4, 0, 3, 4, 0, 4, 1, 0, 4, 2, 0, 3, 3, 3, 2, 0, 1, 2, 3, 0, 2, 4, 0, 0, 3, 2, 1, 4, 1, 4, 2, 3, 1, 0, 0, 3, 2, 3, 3, 4, 3, 2, 1, 4, 4, 2, 0, 3, 2, 0, 1, 4, 1, 1, 3, 2, 1, 4, 2, 0, 0, 1, 4, 3, 0, 3, 0, 2, 0, 1, 0, 3, 2, 2, 4, 4, 3, 1, 4, 4, 1, 0, 1, 1, 0, 4, 2, 1, 2, 2, 0, 3, 0, 1, 1, 0, 2, 1, 0, 0, 3, 1, 3, 3, 3, 3, 3, 2, 3, 0, 2, 4, 3, 1, 3, 3, 0, 2, 3, 3, 1, 4, 1, 1, 1, 3, 1, 1, 1, 3, 4, 3, 3, 0, 3, 1, 2, 0, 1, 3, 4, 0, 4, 0, 2, 0, 1, 1, 4, 0, 2, 4, 3, 2, 3, 4, 0, 3, 3, 1, 0, 2, 0, 1, 2, 0, 4, 2, 1, 3, 0, 3, 3, 2, 2, 1, 4, 1, 2, 3, 2, 1, 1, 2, 0, 1, 4, 2, 3, 0, 4, 0, 2, 0, 2, 1, 0, 1, 4, 2, 4, 4, 1, 3, 4, 0, 4, 4, 1, 2, 1, 1, 3, 1, 2, 1, 3, 2, 4, 3, 3, 3, 4, 4, 1, 4, 2, 1, 0, 3, 1, 0, 0, 3, 1, 3, 3, 4, 0, 0, 2, 4, 1, 2, 4, 4, 3, 4, 3, 4, 0, 1, 2, 0, 0, 2, 1, 3, 4, 4, 4, 1, 1, 3, 3, 4, 3, 1, 0, 2, 2, 4, 0, 1, 4, 3, 1, 4, 0, 2, 4, 2, 2, 4, 2, 0, 2, 3, 0, 4, 1, 1, 0, 1, 2, 2, 3, 3, 2, 2, 1, 4, 4, 2, 1, 0, 3, 4, 0, 3, 2, 0, 0, 2, 4, 3, 3, 4, 4, 4, 0, 0, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 3, 3, 0, 4, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 4, 4, 2, 1, 3, 1, 4, 1, 3, 4, 1, 1, 2, 4, 3, 4, 2, 1] pubkeycol1412 = [1, 4, 0, 1, 3, 4, 4, 3, 0, 2, 0, 4, 3, 4, 4, 1, 1, 0, 0, 3, 4, 3, 1, 3, 3, 2, 1, 4, 2, 2, 4, 3, 0, 4, 1, 0, 1, 1, 4, 0, 0, 1, 1, 0, 0, 4, 1, 4, 0, 2, 3, 3, 2, 3, 0, 1, 0, 0, 4, 1, 3, 0, 3, 1, 1, 1, 3, 4, 0, 2, 3, 3, 4, 3, 0, 3, 4, 0, 3, 4, 3, 1, 3, 0, 4, 2, 4, 1, 1, 1, 2, 4, 4, 0, 3, 0, 3, 0, 1, 2, 0, 2, 1, 4, 0, 1, 0, 2, 4, 0, 2, 3, 4, 1, 4, 3, 1, 4, 2, 3, 4, 3, 3, 0, 1, 1, 4, 3, 0, 1, 4, 3, 2, 3, 0, 2, 4, 0, 1, 2, 4, 1, 4, 4, 1, 3, 2, 1, 3, 0, 1, 4, 4, 2, 0, 2, 1, 2, 4, 1, 4, 2, 2, 0, 1, 2, 3, 4, 2, 4, 3, 1, 3, 1, 0, 4, 3, 3, 0, 2, 0, 2, 1, 4, 0, 0, 1, 0, 3, 3, 0, 0, 3, 3, 0, 2, 1, 2, 4, 1, 2, 2, 3, 1, 4, 0, 3, 3, 3, 1, 1, 0, 0, 1, 1, 0, 2, 2, 4, 4, 4, 1, 3, 3, 4, 3, 4, 2, 1, 2, 1, 3, 4, 0, 1, 0, 2, 2, 4, 4, 2, 3, 0, 4, 0, 3, 4, 1, 0, 2, 1, 0, 0, 3, 1, 4, 2, 3, 1, 3, 4, 3, 3, 2, 3, 3, 3, 1, 0, 1, 3, 0, 3, 2, 3, 2, 2, 2, 2, 1, 0, 0, 1, 3, 2, 0, 0, 4, 2, 4, 2, 1, 1, 4, 2, 3, 1, 2, 3, 4, 0, 3, 3, 4, 2, 0, 2, 2, 0, 0, 1, 0, 1, 3, 3, 1, 3, 0, 2, 1, 2, 0, 1, 2, 1, 2, 4, 2, 1, 4, 4, 0, 4, 3, 2, 1, 0, 0, 2, 2, 1, 0, 3, 1, 1, 1, 0, 0, 2, 3, 3, 0, 3, 3, 0, 0, 2, 2, 4, 3, 0, 2, 4, 0, 2, 1, 1, 3, 1, 4, 0, 2, 2, 1, 3, 0, 4, 2, 0, 3, 0, 1, 3, 3, 0, 2, 3, 0, 4, 0, 4, 0, 2, 3, 4, 1, 2, 3, 1, 0] pubkeycol1413 = [0, 4, 2, 1, 3, 0, 0, 0, 1, 1, 2, 0, 4, 4, 4, 3, 0, 0, 3, 0, 4, 1, 1, 2, 1, 3, 4, 1, 4, 0, 1, 3, 1, 4, 2, 0, 1, 1, 0, 1, 4, 3, 4, 3, 2, 2, 1, 4, 0, 3, 0, 1, 4, 1, 4, 3, 4, 0, 4, 1, 1, 1, 3, 3, 1, 3, 0, 1, 4, 2, 1, 3, 0, 3, 0, 3, 4, 2, 4, 1, 1, 0, 3, 4, 1, 2, 0, 1, 4, 4, 4, 2, 4, 3, 4, 0, 0, 0, 4, 1, 4, 2, 1, 1, 2, 1, 0, 3, 4, 1, 2, 2, 2, 3, 0, 2, 3, 2, 2, 1, 1, 1, 0, 0, 2, 4, 0, 0, 3, 3, 3, 2, 2, 3, 0, 0, 1, 2, 4, 1, 3, 2, 0, 0, 1, 3, 3, 0, 3, 1, 4, 1, 3, 1, 4, 4, 2, 4, 2, 3, 0, 0, 2, 0, 2, 2, 2, 3, 2, 2, 0, 2, 3, 1, 4, 2, 4, 1, 0, 3, 2, 4, 4, 0, 2, 1, 4, 2, 1, 3, 4, 2, 2, 1, 0, 2, 4, 4, 0, 2, 0, 4, 2, 2, 2, 2, 0, 3, 2, 3, 3, 1, 2, 2, 1, 3, 2, 1, 2, 0, 2, 0, 4, 4, 1, 2, 2, 1, 3, 0, 3, 4, 4, 2, 0, 2, 3, 4, 2, 2, 4, 4, 2, 2, 4, 2, 0, 2, 4, 0, 0, 1, 1, 3, 4, 0, 0, 4, 1, 1, 3, 2, 0, 2, 4, 1, 3, 0, 4, 2, 4, 2, 2, 1, 4, 4, 1, 0, 0, 4, 0, 1, 4, 2, 4, 0, 4, 2, 1, 3, 1, 2, 3, 4, 3, 2, 2, 0, 0, 4, 1, 2, 3, 4, 3, 4, 3, 1, 3, 4, 4, 1, 4, 2, 0, 2, 1, 1, 1, 4, 3, 3, 4, 1, 1, 0, 3, 0, 3, 4, 4, 1, 3, 4, 0, 4, 1, 2, 0, 3, 1, 4, 3, 2, 2, 4, 0, 0, 3, 1, 0, 1, 4, 3, 1, 4, 2, 2, 2, 1, 0, 4, 0, 0, 2, 0, 2, 1, 2, 4, 0, 0, 2, 4, 0, 0, 0, 1, 0, 3, 0, 3, 4, 1, 0, 1, 4, 4, 1, 1, 0, 0, 3, 1, 2, 0, 1, 4, 0, 0] pubkeycol1414 = [1, 1, 1, 3, 3, 3, 3, 4, 3, 2, 3, 4, 3, 3, 1, 0, 0, 0, 3, 0, 3, 4, 4, 3, 2, 3, 0, 3, 0, 3, 4, 1, 0, 3, 0, 1, 3, 0, 1, 4, 2, 3, 4, 0, 0, 3, 1, 3, 4, 3, 0, 2, 1, 4, 2, 1, 2, 2, 4, 2, 4, 1, 1, 0, 1, 4, 1, 2, 4, 1, 2, 4, 3, 1, 0, 0, 1, 1, 0, 1, 3, 2, 3, 4, 4, 0, 1, 3, 2, 1, 4, 0, 4, 1, 2, 3, 1, 4, 4, 4, 4, 2, 2, 3, 1, 2, 1, 3, 3, 2, 4, 4, 4, 1, 0, 3, 2, 1, 4, 0, 3, 4, 4, 4, 0, 4, 2, 2, 3, 4, 2, 4, 1, 4, 1, 2, 3, 0, 4, 3, 0, 1, 0, 1, 2, 3, 0, 1, 3, 1, 1, 0, 1, 0, 3, 4, 1, 1, 0, 1, 2, 3, 0, 0, 3, 2, 0, 2, 1, 1, 3, 2, 0, 0, 3, 3, 1, 3, 3, 4, 2, 1, 4, 3, 2, 0, 1, 4, 3, 0, 3, 2, 0, 0, 0, 4, 0, 2, 3, 0, 0, 3, 1, 2, 0, 4, 3, 3, 0, 1, 1, 4, 4, 0, 2, 4, 4, 0, 4, 0, 4, 4, 0, 4, 3, 2, 4, 1, 3, 3, 0, 1, 3, 1, 2, 3, 4, 1, 2, 1, 3, 3, 0, 3, 0, 0, 4, 1, 1, 1, 3, 2, 4, 3, 2, 2, 1, 1, 4, 4, 0, 1, 2, 3, 3, 0, 2, 3, 1, 3, 4, 2, 0, 1, 4, 3, 2, 4, 1, 0, 3, 4, 3, 2, 2, 4, 2, 2, 4, 4, 0, 2, 2, 1, 4, 4, 0, 4, 1, 4, 2, 1, 0, 4, 4, 2, 1, 4, 1, 1, 0, 4, 3, 1, 3, 0, 0, 4, 4, 3, 1, 2, 4, 0, 4, 3, 4, 0, 3, 4, 1, 3, 2, 3, 2, 3, 2, 1, 3, 4, 2, 2, 3, 4, 2, 0, 0, 4, 0, 1, 2, 1, 1, 4, 4, 0, 3, 4, 2, 2, 1, 4, 2, 4, 4, 1, 1, 0, 3, 4, 4, 3, 4, 0, 1, 1, 3, 4, 4, 4, 1, 1, 0, 3, 2, 1, 0, 3, 1, 3, 4, 3, 3, 3, 0, 3, 2, 2, 1, 1] pubkeycol1415 = [3, 1, 0, 4, 1, 0, 1, 2, 0, 0, 2, 3, 3, 2, 3, 1, 2, 0, 2, 4, 1, 2, 1, 2, 1, 3, 3, 0, 1, 1, 3, 4, 0, 2, 1, 2, 0, 0, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 4, 1, 0, 4, 2, 2, 3, 3, 4, 2, 1, 1, 1, 4, 2, 2, 3, 2, 1, 1, 0, 0, 2, 2, 4, 4, 2, 2, 0, 1, 4, 3, 4, 3, 1, 1, 0, 0, 4, 4, 2, 2, 2, 0, 1, 0, 2, 1, 3, 4, 1, 0, 3, 1, 2, 2, 1, 1, 0, 2, 3, 0, 4, 1, 1, 1, 0, 4, 2, 0, 2, 4, 0, 3, 2, 2, 4, 1, 3, 4, 2, 0, 2, 1, 2, 0, 4, 2, 4, 1, 3, 1, 1, 1, 3, 4, 1, 2, 1, 4, 4, 3, 0, 4, 3, 2, 1, 1, 0, 4, 4, 2, 3, 0, 3, 0, 3, 3, 0, 1, 1, 4, 1, 2, 1, 0, 3, 1, 4, 1, 0, 3, 4, 4, 1, 1, 0, 3, 0, 2, 3, 0, 3, 1, 4, 4, 4, 3, 0, 1, 4, 1, 4, 0, 4, 1, 0, 0, 1, 4, 3, 3, 1, 1, 4, 4, 0, 4, 1, 3, 3, 0, 1, 0, 4, 1, 3, 0, 3, 4, 2, 3, 3, 4, 1, 2, 3, 4, 3, 3, 1, 3, 1, 0, 0, 3, 2, 2, 0, 4, 4, 0, 3, 0, 1, 2, 4, 3, 0, 2, 1, 4, 0, 3, 0, 0, 3, 1, 1, 3, 4, 3, 2, 2, 4, 4, 4, 3, 2, 1, 3, 0, 1, 0, 4, 3, 4, 0, 0, 1, 3, 0, 3, 1, 1, 3, 4, 3, 3, 2, 4, 1, 1, 1, 4, 1, 4, 4, 3, 4, 3, 1, 1, 0, 4, 3, 1, 0, 0, 2, 2, 0, 3, 1, 1, 3, 1, 1, 2, 4, 1, 4, 1, 2, 3, 4, 1, 4, 0, 1, 1, 4, 3, 1, 1, 1, 2, 2, 0, 4, 4, 3, 1, 4, 0, 3, 0, 1, 4, 2, 4, 3, 0, 3, 1, 3, 0, 0, 1, 1, 3, 3, 3, 1, 4, 1, 1, 2, 2, 3, 0, 1, 0, 3, 1, 0, 2, 3, 0, 0, 4, 2, 0, 1, 3, 3, 1, 4, 3, 3, 3] pubkeycol1416 = [2, 2, 4, 2, 4, 3, 2, 2, 0, 1, 1, 4, 0, 0, 1, 1, 1, 1, 4, 1, 0, 1, 3, 4, 3, 1, 4, 1, 1, 4, 0, 1, 3, 0, 3, 0, 2, 4, 0, 3, 0, 1, 4, 0, 1, 3, 2, 1, 2, 0, 3, 1, 1, 4, 3, 2, 1, 2, 0, 1, 4, 0, 1, 0, 3, 3, 2, 1, 3, 2, 1, 0, 4, 0, 4, 1, 3, 4, 4, 3, 4, 3, 1, 4, 2, 4, 2, 0, 0, 1, 0, 4, 1, 3, 3, 4, 1, 0, 4, 2, 3, 1, 3, 2, 4, 4, 0, 0, 1, 2, 2, 4, 1, 0, 3, 1, 2, 3, 0, 2, 3, 4, 0, 0, 4, 2, 1, 2, 2, 1, 1, 0, 1, 3, 1, 0, 2, 3, 3, 3, 1, 3, 0, 3, 2, 4, 4, 4, 3, 1, 4, 3, 2, 3, 1, 1, 1, 3, 3, 3, 1, 3, 3, 0, 0, 1, 0, 3, 0, 3, 4, 4, 0, 2, 4, 3, 3, 3, 0, 2, 1, 1, 3, 1, 4, 1, 0, 4, 0, 0, 4, 1, 0, 3, 1, 4, 0, 4, 2, 2, 1, 0, 3, 4, 2, 2, 0, 3, 1, 0, 0, 1, 3, 0, 0, 1, 3, 2, 2, 2, 1, 0, 2, 4, 1, 1, 0, 0, 3, 1, 0, 4, 1, 4, 0, 4, 0, 4, 4, 3, 4, 0, 4, 2, 3, 2, 3, 0, 2, 0, 1, 2, 4, 2, 2, 2, 3, 4, 4, 3, 1, 3, 1, 0, 1, 2, 3, 2, 0, 1, 1, 4, 2, 2, 4, 0, 1, 4, 2, 1, 1, 0, 0, 1, 2, 1, 4, 0, 2, 1, 3, 3, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 1, 4, 4, 2, 3, 3, 0, 1, 4, 4, 4, 1, 2, 4, 1, 2, 0, 1, 1, 0, 2, 2, 2, 4, 2, 1, 3, 3, 0, 0, 3, 4, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 0, 2, 2, 3, 2, 2, 3, 0, 3, 4, 2, 1, 2, 2, 4, 4, 2, 4, 1, 3, 4, 0, 0, 3, 3, 2, 4, 2, 2, 4, 4, 2, 4, 3, 4, 3, 1, 2, 4, 0, 4, 0, 2, 4, 2, 0, 1, 3, 1, 1, 3, 0, 4, 3, 0] pubkeycol1417 = [3, 3, 4, 1, 0, 3, 3, 1, 0, 4, 0, 0, 0, 1, 4, 0, 0, 3, 1, 0, 0, 3, 2, 0, 1, 1, 2, 0, 3, 4, 4, 1, 3, 3, 3, 1, 0, 3, 2, 3, 2, 3, 4, 0, 3, 2, 4, 0, 3, 4, 2, 1, 0, 4, 2, 1, 4, 1, 4, 0, 2, 1, 1, 3, 2, 0, 1, 3, 3, 3, 3, 4, 3, 2, 1, 1, 2, 3, 4, 1, 3, 0, 4, 2, 1, 2, 0, 3, 2, 3, 4, 2, 2, 1, 3, 2, 0, 0, 0, 4, 4, 3, 0, 1, 0, 0, 3, 0, 4, 0, 4, 3, 4, 3, 1, 3, 3, 1, 1, 2, 0, 0, 2, 1, 1, 2, 4, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 4, 3, 1, 0, 0, 4, 0, 4, 0, 1, 4, 1, 2, 1, 4, 2, 1, 2, 2, 1, 1, 4, 0, 1, 2, 2, 3, 0, 4, 0, 1, 2, 3, 2, 0, 2, 0, 2, 2, 3, 3, 2, 1, 2, 1, 4, 0, 0, 0, 2, 1, 4, 2, 2, 0, 2, 2, 0, 1, 1, 4, 0, 1, 2, 2, 3, 0, 4, 2, 2, 0, 1, 3, 2, 0, 0, 0, 1, 4, 0, 3, 0, 2, 2, 2, 3, 3, 1, 3, 4, 2, 4, 0, 2, 2, 2, 1, 4, 0, 0, 2, 1, 1, 0, 0, 3, 2, 3, 0, 2, 3, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 4, 4, 2, 0, 4, 1, 1, 4, 4, 1, 0, 1, 2, 3, 2, 0, 4, 0, 4, 4, 3, 0, 4, 2, 0, 3, 4, 4, 4, 3, 1, 3, 4, 1, 0, 4, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 4, 1, 1, 2, 3, 2, 1, 3, 2, 0, 0, 3, 3, 2, 2, 1, 3, 0, 0, 2, 2, 3, 2, 4, 3, 0, 3, 0, 4, 0, 0, 2, 0, 4, 1, 3, 2, 0, 0, 3, 4, 1, 4, 1, 2, 4, 1, 3, 0, 1, 1, 2, 1, 2, 0, 2, 3, 3, 0, 3, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 3, 2, 3, 2, 1, 1, 1, 0, 3, 1, 2, 4, 1, 2, 1, 2, 4, 3, 2, 3, 3, 0] pubkeycol1418 = [4, 3, 4, 0, 4, 4, 0, 4, 1, 3, 4, 3, 3, 2, 4, 4, 0, 0, 0, 3, 3, 1, 2, 1, 4, 2, 1, 0, 1, 4, 0, 0, 2, 1, 2, 3, 0, 2, 1, 2, 2, 4, 3, 4, 3, 3, 0, 2, 0, 3, 1, 3, 4, 0, 1, 4, 4, 0, 3, 3, 3, 3, 1, 2, 0, 2, 3, 0, 1, 4, 1, 3, 0, 1, 3, 0, 4, 2, 1, 0, 0, 3, 4, 0, 3, 3, 4, 1, 1, 1, 3, 0, 2, 0, 2, 4, 4, 0, 1, 4, 3, 1, 1, 2, 3, 0, 2, 0, 2, 4, 2, 1, 4, 0, 0, 2, 0, 4, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 4, 1, 3, 0, 3, 0, 3, 0, 2, 1, 4, 4, 0, 1, 4, 2, 3, 3, 0, 3, 3, 2, 2, 3, 2, 0, 3, 4, 0, 3, 0, 1, 2, 2, 2, 0, 4, 1, 2, 1, 3, 2, 3, 1, 1, 2, 0, 3, 4, 2, 1, 0, 1, 1, 2, 0, 4, 2, 3, 3, 1, 3, 4, 2, 4, 1, 3, 3, 1, 3, 4, 3, 2, 2, 1, 1, 1, 0, 0, 4, 3, 0, 3, 2, 1, 4, 0, 1, 1, 3, 2, 2, 0, 3, 3, 3, 4, 0, 1, 3, 0, 2, 0, 0, 0, 1, 4, 4, 4, 2, 0, 0, 4, 3, 2, 0, 4, 2, 3, 3, 4, 3, 4, 1, 0, 2, 2, 3, 4, 2, 1, 2, 4, 1, 2, 1, 1, 4, 3, 4, 0, 4, 2, 3, 3, 2, 4, 4, 1, 0, 0, 3, 0, 2, 1, 0, 4, 2, 4, 4, 3, 4, 2, 4, 3, 3, 3, 0, 2, 0, 2, 1, 2, 2, 4, 1, 4, 2, 3, 1, 1, 0, 4, 3, 3, 0, 3, 0, 2, 3, 2, 0, 3, 4, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 1, 3, 0, 2, 4, 4, 3, 4, 1, 3, 1, 1, 4, 4, 1, 2, 3, 2, 2, 1, 2, 3, 4, 0, 4, 1, 4, 4, 2, 0, 2, 0, 3, 2, 1, 3, 2, 2, 4, 2, 3, 3, 4, 3, 0, 0, 1, 2, 4, 3, 2, 0, 1, 3, 0, 2, 4, 3, 2, 4, 0, 0, 4, 2, 3] pubkeycol1419 = [4, 3, 1, 3, 4, 0, 0, 1, 0, 2, 3, 0, 3, 4, 3, 2, 0, 0, 1, 4, 1, 1, 1, 0, 3, 1, 0, 1, 4, 0, 2, 1, 3, 3, 2, 4, 3, 0, 1, 2, 2, 0, 2, 3, 2, 3, 3, 1, 3, 0, 2, 0, 2, 1, 0, 0, 4, 3, 3, 1, 0, 4, 2, 1, 2, 2, 0, 1, 0, 1, 4, 2, 2, 4, 1, 3, 0, 3, 4, 3, 4, 1, 2, 2, 0, 1, 4, 2, 2, 2, 0, 2, 1, 1, 3, 1, 0, 4, 2, 3, 1, 0, 1, 0, 3, 1, 1, 0, 3, 1, 1, 1, 1, 1, 3, 1, 0, 1, 0, 1, 3, 4, 2, 3, 2, 0, 0, 3, 2, 2, 1, 4, 4, 4, 1, 2, 2, 3, 0, 3, 1, 1, 2, 1, 2, 4, 2, 4, 0, 2, 1, 0, 3, 2, 2, 1, 2, 4, 1, 2, 1, 4, 4, 3, 4, 1, 3, 2, 3, 0, 4, 1, 4, 1, 1, 2, 0, 2, 4, 0, 4, 4, 1, 3, 0, 1, 3, 1, 0, 2, 1, 3, 2, 0, 0, 3, 4, 1, 3, 3, 1, 0, 2, 4, 4, 2, 2, 4, 3, 2, 1, 0, 1, 1, 4, 0, 4, 4, 4, 4, 1, 0, 0, 3, 0, 3, 2, 2, 2, 0, 4, 2, 0, 1, 4, 4, 3, 1, 1, 2, 0, 4, 1, 0, 1, 0, 2, 4, 3, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 4, 0, 0, 2, 0, 1, 4, 1, 3, 0, 4, 4, 2, 3, 1, 3, 4, 1, 3, 4, 1, 1, 3, 2, 1, 1, 3, 0, 2, 0, 0, 1, 1, 1, 3, 2, 2, 3, 1, 4, 4, 0, 1, 3, 3, 4, 1, 2, 1, 1, 1, 3, 0, 3, 0, 1, 4, 3, 1, 3, 1, 1, 0, 2, 1, 4, 1, 3, 4, 2, 4, 4, 2, 4, 2, 2, 3, 2, 1, 3, 0, 0, 4, 1, 4, 1, 2, 0, 4, 4, 0, 1, 2, 4, 1, 4, 0, 2, 0, 1, 2, 0, 3, 4, 3, 2, 0, 1, 4, 3, 0, 1, 3, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 3, 4, 0, 1, 3, 2, 1, 2, 4, 1, 3, 3, 3, 0, 2, 3] pubkeycol1420 = [3, 1, 1, 1, 4, 0, 1, 2, 3, 3, 3, 1, 3, 0, 1, 2, 4, 2, 3, 2, 2, 1, 2, 0, 1, 1, 4, 2, 2, 4, 1, 3, 0, 3, 4, 0, 4, 4, 1, 4, 3, 4, 0, 2, 2, 1, 1, 2, 2, 3, 4, 4, 4, 1, 2, 2, 1, 3, 4, 2, 4, 1, 3, 3, 0, 4, 0, 2, 1, 0, 2, 3, 1, 3, 0, 1, 3, 1, 4, 0, 1, 1, 2, 4, 1, 3, 0, 3, 1, 3, 4, 4, 0, 0, 4, 4, 3, 4, 1, 1, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 3, 2, 1, 4, 2, 4, 2, 2, 4, 3, 3, 3, 3, 0, 3, 4, 0, 1, 1, 3, 2, 2, 2, 1, 4, 2, 0, 0, 3, 2, 3, 1, 0, 3, 2, 1, 2, 0, 1, 4, 0, 3, 1, 4, 2, 0, 0, 2, 0, 0, 4, 1, 2, 3, 0, 2, 1, 0, 0, 2, 2, 1, 4, 3, 4, 0, 4, 3, 2, 0, 4, 0, 3, 2, 0, 2, 4, 0, 2, 4, 4, 1, 4, 2, 4, 1, 1, 0, 2, 2, 1, 4, 1, 3, 0, 3, 4, 0, 1, 2, 3, 3, 2, 0, 4, 1, 2, 4, 4, 1, 0, 1, 3, 1, 2, 1, 0, 3, 1, 3, 2, 4, 2, 3, 1, 4, 0, 2, 4, 1, 1, 4, 3, 0, 3, 1, 0, 1, 0, 2, 0, 3, 0, 0, 0, 4, 3, 3, 0, 1, 2, 1, 3, 4, 1, 2, 0, 1, 4, 3, 0, 3, 1, 0, 4, 3, 3, 2, 1, 3, 3, 4, 2, 1, 2, 2, 3, 4, 1, 1, 2, 1, 3, 2, 1, 3, 0, 4, 1, 0, 4, 3, 3, 3, 3, 2, 1, 1, 1, 4, 1, 1, 0, 4, 0, 4, 0, 0, 2, 3, 2, 2, 3, 1, 1, 3, 0, 0, 3, 1, 4, 4, 1, 4, 3, 3, 2, 3, 1, 3, 3, 2, 1, 0, 3, 1, 2, 0, 2, 3, 2, 2, 4, 1, 4, 4, 2, 4, 1, 1, 0, 1, 3, 2, 2, 3, 0, 4, 1, 2, 3, 4, 4, 3, 3, 4, 3, 3, 1, 0, 2, 2, 4, 4, 2, 4, 2, 4, 4, 2, 3, 1, 2, 4, 0, 2, 0, 4, 4, 4] pubkeycol1421 = [1, 2, 4, 2, 1, 1, 3, 0, 2, 2, 3, 2, 2, 3, 0, 3, 3, 4, 3, 2, 1, 4, 3, 1, 0, 0, 0, 0, 2, 1, 4, 4, 2, 3, 3, 3, 4, 3, 1, 3, 2, 0, 3, 0, 2, 1, 1, 3, 2, 4, 2, 1, 3, 4, 0, 0, 3, 3, 4, 1, 4, 2, 1, 0, 0, 4, 0, 3, 4, 1, 4, 0, 2, 0, 2, 0, 0, 3, 1, 0, 2, 1, 1, 2, 3, 2, 0, 4, 4, 1, 1, 3, 1, 3, 1, 3, 2, 0, 4, 3, 1, 2, 1, 0, 4, 0, 4, 4, 4, 2, 0, 4, 1, 4, 0, 1, 3, 3, 4, 2, 4, 1, 3, 2, 0, 0, 4, 2, 3, 3, 4, 1, 3, 2, 1, 4, 3, 0, 4, 0, 3, 2, 0, 4, 0, 3, 2, 4, 4, 0, 2, 0, 3, 3, 3, 0, 2, 2, 4, 1, 3, 4, 3, 4, 3, 1, 2, 4, 0, 1, 0, 1, 3, 3, 2, 4, 1, 0, 3, 3, 2, 2, 1, 0, 2, 1, 4, 3, 0, 1, 2, 3, 4, 1, 1, 1, 1, 4, 4, 4, 3, 3, 3, 1, 3, 3, 0, 3, 4, 2, 2, 4, 3, 3, 0, 2, 4, 0, 4, 4, 2, 4, 4, 3, 1, 2, 1, 4, 3, 0, 4, 0, 4, 1, 3, 4, 3, 0, 4, 4, 1, 2, 2, 3, 2, 1, 4, 4, 0, 2, 2, 1, 3, 2, 4, 1, 0, 3, 1, 3, 0, 2, 2, 2, 0, 1, 2, 4, 3, 1, 3, 1, 3, 3, 4, 3, 0, 0, 4, 3, 3, 0, 3, 4, 1, 2, 1, 1, 0, 4, 0, 2, 0, 1, 1, 4, 0, 0, 2, 4, 4, 0, 3, 1, 1, 4, 4, 0, 4, 3, 1, 1, 2, 1, 3, 2, 0, 1, 1, 4, 1, 2, 1, 1, 0, 2, 4, 4, 2, 3, 4, 3, 4, 3, 1, 3, 3, 2, 2, 2, 0, 2, 3, 3, 3, 3, 4, 1, 4, 3, 3, 2, 2, 0, 0, 1, 4, 1, 4, 3, 3, 0, 1, 0, 0, 0, 2, 3, 3, 3, 4, 1, 2, 1, 1, 0, 0, 0, 0, 2, 4, 4, 2, 3, 1, 4, 3, 2, 0, 4, 3, 3, 3, 2, 2, 3, 0, 1, 0, 0] pubkeycol1422 = [4, 1, 2, 0, 0, 1, 4, 4, 3, 0, 3, 3, 1, 1, 2, 0, 4, 1, 3, 2, 4, 1, 1, 1, 1, 4, 1, 1, 2, 1, 2, 4, 3, 0, 4, 0, 3, 3, 4, 3, 4, 2, 0, 4, 2, 2, 2, 3, 2, 1, 2, 0, 3, 4, 2, 0, 4, 0, 4, 4, 0, 2, 4, 0, 3, 4, 0, 3, 3, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 4, 1, 2, 3, 3, 3, 4, 3, 4, 1, 2, 3, 4, 2, 2, 2, 1, 3, 2, 0, 4, 0, 2, 4, 0, 3, 4, 2, 3, 0, 2, 0, 4, 2, 4, 4, 0, 0, 0, 1, 1, 2, 0, 1, 4, 2, 3, 3, 2, 1, 3, 3, 0, 2, 1, 0, 3, 0, 0, 4, 4, 1, 1, 3, 1, 3, 1, 3, 2, 0, 0, 1, 3, 3, 4, 4, 3, 3, 1, 2, 3, 1, 3, 0, 1, 2, 4, 3, 0, 3, 0, 0, 2, 2, 3, 0, 0, 0, 0, 1, 2, 2, 1, 2, 3, 3, 2, 0, 4, 2, 3, 0, 0, 0, 4, 0, 2, 3, 1, 1, 4, 3, 3, 4, 3, 1, 3, 1, 4, 3, 2, 0, 1, 3, 3, 4, 0, 4, 3, 1, 0, 0, 2, 0, 2, 1, 0, 2, 3, 4, 4, 3, 3, 2, 4, 4, 1, 3, 1, 3, 4, 0, 2, 4, 4, 4, 0, 0, 3, 2, 1, 3, 3, 0, 4, 3, 4, 4, 1, 1, 4, 0, 0, 4, 2, 2, 2, 0, 1, 4, 3, 4, 1, 2, 3, 0, 2, 4, 4, 4, 3, 1, 1, 0, 4, 3, 4, 3, 0, 4, 0, 3, 3, 2, 4, 4, 0, 4, 1, 1, 4, 0, 4, 2, 3, 4, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 4, 2, 4, 2, 0, 2, 4, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 1, 2, 1, 2, 4, 0, 2, 0, 1, 2, 0, 3, 3, 2, 4, 3, 3, 2, 1, 3, 4, 3, 3, 2, 1, 1, 2, 2, 1, 0, 3, 1, 0, 3, 0, 3, 3, 1, 4, 0, 1, 0, 4, 4, 3, 2, 0, 0, 0, 4, 3, 4, 3, 0, 0, 2, 4, 3, 2, 0, 2, 2, 4, 2, 1] pubkeycol1423 = [0, 1, 3, 1, 2, 0, 3, 4, 0, 4, 1, 1, 4, 2, 1, 0, 1, 0, 1, 0, 4, 2, 2, 0, 3, 1, 0, 2, 2, 4, 3, 0, 0, 4, 4, 1, 1, 3, 3, 2, 1, 2, 0, 3, 0, 0, 1, 4, 4, 0, 3, 1, 4, 2, 3, 0, 2, 0, 3, 1, 4, 4, 2, 4, 4, 1, 3, 1, 0, 4, 2, 0, 3, 0, 0, 1, 3, 4, 0, 4, 0, 4, 0, 1, 2, 4, 4, 4, 4, 3, 4, 3, 2, 0, 2, 3, 0, 3, 1, 3, 1, 2, 3, 3, 4, 1, 0, 4, 1, 3, 0, 1, 3, 3, 2, 0, 3, 0, 3, 2, 3, 1, 2, 1, 2, 4, 0, 1, 2, 4, 3, 3, 1, 2, 3, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 3, 3, 3, 3, 0, 1, 3, 2, 1, 2, 3, 4, 4, 1, 1, 3, 1, 1, 4, 0, 0, 4, 3, 2, 3, 0, 1, 4, 4, 0, 4, 3, 4, 4, 0, 1, 2, 0, 0, 0, 3, 3, 4, 1, 2, 0, 4, 3, 1, 3, 3, 1, 3, 1, 2, 2, 0, 4, 1, 2, 2, 2, 2, 4, 1, 1, 3, 3, 0, 1, 0, 0, 4, 4, 4, 0, 3, 3, 4, 0, 1, 0, 1, 3, 4, 0, 2, 2, 1, 0, 2, 2, 2, 4, 4, 4, 2, 2, 1, 1, 2, 2, 0, 0, 0, 3, 3, 1, 4, 2, 0, 1, 0, 2, 2, 0, 3, 4, 2, 4, 0, 4, 3, 1, 2, 2, 0, 1, 3, 0, 4, 3, 0, 1, 2, 1, 3, 4, 1, 2, 2, 2, 1, 3, 0, 3, 3, 2, 3, 0, 1, 3, 2, 3, 1, 1, 2, 4, 2, 3, 3, 1, 4, 3, 3, 1, 0, 0, 4, 1, 0, 0, 4, 3, 2, 0, 1, 3, 3, 4, 0, 1, 0, 3, 0, 4, 1, 0, 1, 4, 0, 4, 0, 1, 0, 1, 0, 4, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 0, 3, 3, 0, 3, 2, 0, 3, 2, 4, 2, 3, 2, 4, 1, 0, 0, 1, 3, 1, 0, 1, 0, 2, 0, 1, 2, 3, 4, 0, 0, 2, 3, 4, 4, 3, 3, 0, 1, 4, 0, 4, 3, 3, 1, 0, 4] pubkeycol1424 = [3, 3, 2, 0, 3, 3, 4, 0, 2, 0, 2, 1, 3, 2, 2, 4, 3, 1, 2, 0, 0, 0, 4, 2, 0, 0, 2, 1, 4, 0, 1, 1, 0, 4, 4, 2, 2, 0, 4, 2, 2, 3, 3, 4, 2, 3, 0, 1, 1, 3, 2, 2, 0, 0, 0, 3, 2, 2, 0, 3, 2, 4, 1, 1, 2, 2, 0, 4, 3, 0, 4, 3, 2, 4, 1, 0, 2, 2, 3, 3, 3, 1, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 0, 0, 0, 3, 4, 3, 3, 3, 1, 0, 4, 3, 4, 3, 2, 1, 2, 3, 0, 4, 2, 4, 1, 4, 0, 4, 2, 0, 1, 3, 2, 2, 4, 0, 4, 2, 1, 1, 4, 1, 4, 4, 3, 3, 0, 4, 4, 1, 4, 0, 1, 0, 1, 3, 1, 3, 3, 0, 3, 1, 1, 4, 1, 1, 1, 0, 2, 0, 4, 2, 1, 4, 3, 0, 3, 1, 2, 1, 0, 2, 3, 3, 4, 1, 2, 0, 0, 4, 1, 0, 3, 1, 3, 0, 2, 3, 4, 3, 0, 3, 3, 0, 4, 2, 4, 3, 2, 3, 2, 3, 2, 4, 1, 4, 2, 0, 2, 4, 4, 2, 0, 0, 4, 0, 2, 0, 3, 1, 1, 0, 0, 2, 2, 3, 2, 3, 1, 1, 1, 3, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 3, 2, 3, 2, 0, 1, 4, 2, 2, 2, 3, 2, 3, 2, 0, 4, 4, 0, 0, 2, 2, 1, 2, 4, 0, 0, 1, 0, 3, 4, 4, 0, 2, 4, 3, 3, 4, 1, 4, 4, 4, 0, 0, 1, 0, 1, 2, 4, 2, 2, 4, 3, 3, 3, 1, 2, 1, 3, 3, 2, 2, 1, 2, 2, 2, 3, 0, 0, 2, 3, 0, 2, 1, 2, 4, 2, 2, 1, 4, 1, 0, 1, 2, 0, 3, 4, 0, 2, 2, 1, 1, 4, 4, 1, 0, 4, 3, 2, 2, 2, 2, 2, 3, 1, 4, 2, 4, 1, 3, 0, 3, 3, 4, 4, 4, 1, 3, 2, 4, 0, 3, 0, 2, 3, 1, 1, 3, 4, 1, 3, 3, 2, 4, 0, 4, 3, 3, 3, 4, 0, 3, 2, 4, 2, 1, 1, 1, 3, 3, 2, 1, 2, 2, 0, 2, 3, 2] pubkeycol1425 = [4, 1, 3, 4, 0, 1, 0, 4, 3, 0, 3, 4, 3, 3, 3, 4, 0, 1, 0, 4, 0, 2, 3, 2, 2, 4, 4, 0, 3, 0, 4, 2, 2, 2, 1, 0, 3, 1, 1, 3, 2, 0, 3, 0, 0, 2, 1, 4, 0, 4, 1, 3, 3, 2, 4, 0, 1, 2, 1, 1, 3, 0, 3, 3, 3, 3, 2, 4, 1, 4, 4, 1, 4, 0, 2, 3, 1, 3, 4, 2, 3, 3, 2, 3, 3, 3, 4, 1, 4, 2, 3, 1, 3, 2, 4, 1, 2, 4, 0, 4, 0, 0, 1, 1, 1, 1, 1, 4, 3, 2, 1, 0, 2, 4, 4, 3, 2, 3, 2, 0, 0, 3, 3, 4, 0, 1, 1, 0, 2, 1, 3, 0, 3, 0, 3, 3, 4, 1, 4, 0, 2, 3, 3, 3, 2, 4, 3, 3, 2, 2, 3, 2, 2, 0, 3, 1, 4, 4, 3, 2, 2, 2, 1, 3, 4, 3, 1, 1, 3, 4, 3, 1, 4, 4, 2, 1, 1, 2, 1, 4, 0, 2, 0, 1, 0, 4, 2, 0, 1, 0, 2, 1, 2, 2, 4, 1, 4, 1, 4, 1, 1, 0, 0, 2, 0, 0, 3, 3, 3, 2, 1, 4, 2, 0, 0, 2, 2, 1, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 0, 1, 4, 3, 3, 0, 4, 0, 0, 3, 3, 3, 1, 3, 4, 4, 2, 2, 1, 0, 1, 3, 3, 0, 2, 3, 4, 2, 3, 0, 2, 2, 0, 4, 2, 2, 1, 2, 1, 2, 0, 1, 3, 2, 3, 1, 3, 1, 3, 0, 4, 0, 4, 3, 4, 1, 2, 0, 4, 1, 2, 2, 1, 3, 4, 0, 0, 0, 4, 4, 2, 2, 2, 2, 4, 4, 0, 0, 1, 2, 3, 3, 2, 4, 3, 4, 3, 1, 0, 4, 2, 4, 3, 1, 1, 3, 4, 3, 2, 4, 3, 2, 2, 4, 0, 2, 0, 0, 4, 0, 0, 4, 2, 0, 1, 0, 1, 4, 0, 4, 1, 1, 2, 0, 1, 3, 0, 2, 2, 2, 3, 2, 0, 2, 4, 1, 0, 2, 1, 3, 2, 4, 4, 2, 0, 0, 3, 0, 2, 3, 2, 2, 4, 2, 0, 2, 3, 0, 3, 0, 0, 2, 0, 1, 2, 1, 4, 4, 3, 1, 0, 3] pubkeycol1426 = [1, 1, 4, 4, 0, 1, 1, 4, 4, 1, 0, 4, 1, 2, 1, 3, 0, 1, 1, 3, 3, 4, 0, 0, 3, 4, 0, 1, 3, 3, 0, 2, 1, 3, 1, 2, 4, 0, 0, 0, 1, 0, 3, 2, 0, 0, 4, 0, 0, 1, 3, 0, 4, 1, 2, 4, 4, 3, 4, 1, 0, 4, 2, 1, 3, 1, 1, 1, 1, 2, 2, 2, 1, 4, 3, 2, 2, 0, 3, 0, 4, 2, 0, 0, 3, 4, 3, 4, 0, 2, 3, 1, 4, 0, 1, 1, 4, 4, 3, 0, 2, 2, 1, 3, 1, 1, 2, 3, 2, 3, 3, 4, 2, 3, 1, 4, 0, 2, 0, 2, 3, 4, 1, 4, 3, 4, 2, 2, 0, 0, 1, 1, 4, 1, 2, 4, 2, 1, 4, 0, 1, 2, 0, 1, 3, 0, 4, 3, 1, 2, 1, 2, 4, 0, 3, 0, 4, 3, 4, 4, 0, 2, 1, 2, 1, 4, 0, 1, 4, 2, 1, 3, 2, 2, 0, 0, 1, 3, 0, 1, 4, 1, 1, 3, 4, 2, 3, 0, 1, 0, 4, 2, 0, 0, 1, 4, 2, 0, 3, 3, 1, 3, 3, 4, 1, 0, 4, 2, 2, 2, 4, 4, 4, 1, 0, 3, 4, 0, 4, 1, 0, 4, 1, 1, 1, 4, 0, 2, 3, 3, 1, 3, 0, 3, 0, 1, 3, 3, 1, 3, 0, 1, 3, 4, 3, 0, 2, 1, 3, 2, 3, 1, 3, 1, 3, 1, 1, 0, 0, 0, 1, 4, 2, 3, 2, 3, 3, 0, 4, 2, 4, 2, 1, 4, 4, 2, 0, 4, 4, 2, 2, 0, 1, 2, 3, 1, 4, 3, 3, 0, 0, 1, 4, 3, 4, 1, 0, 0, 1, 4, 4, 1, 1, 1, 4, 3, 0, 2, 0, 1, 4, 3, 4, 4, 0, 1, 4, 1, 0, 4, 0, 0, 0, 1, 4, 3, 2, 0, 2, 0, 1, 0, 0, 2, 4, 0, 2, 0, 0, 2, 2, 2, 3, 1, 3, 0, 4, 4, 3, 1, 1, 4, 0, 0, 0, 3, 3, 1, 4, 2, 2, 1, 1, 2, 3, 0, 4, 3, 1, 0, 4, 4, 2, 0, 1, 2, 4, 2, 1, 4, 2, 2, 0, 2, 4, 2, 3, 1, 0, 2, 2, 0, 3, 2, 4, 1, 3, 4, 4, 1] pubkeycol1427 = [3, 3, 1, 4, 3, 4, 0, 3, 0, 1, 4, 2, 3, 4, 1, 0, 4, 1, 2, 0, 1, 1, 3, 1, 3, 0, 4, 0, 1, 0, 1, 2, 2, 3, 2, 4, 3, 2, 0, 1, 2, 1, 2, 4, 2, 3, 0, 2, 0, 0, 0, 3, 3, 2, 2, 4, 3, 4, 4, 3, 4, 4, 1, 4, 0, 0, 1, 4, 3, 0, 3, 4, 1, 3, 1, 0, 3, 4, 4, 4, 4, 4, 3, 0, 2, 0, 3, 2, 4, 1, 3, 4, 2, 4, 0, 1, 0, 2, 0, 3, 2, 3, 1, 4, 4, 0, 0, 2, 1, 1, 2, 0, 0, 4, 3, 0, 2, 0, 3, 0, 4, 2, 4, 0, 2, 3, 1, 1, 3, 4, 0, 4, 0, 4, 4, 3, 4, 4, 2, 4, 3, 3, 2, 3, 4, 3, 0, 0, 0, 1, 1, 2, 4, 2, 2, 0, 3, 0, 3, 3, 3, 4, 0, 1, 3, 4, 3, 4, 1, 1, 2, 0, 4, 4, 0, 2, 1, 3, 2, 4, 3, 0, 3, 2, 2, 0, 1, 1, 4, 4, 1, 0, 0, 2, 0, 3, 0, 2, 1, 0, 0, 1, 4, 3, 4, 1, 3, 3, 4, 4, 0, 1, 4, 4, 4, 4, 1, 3, 4, 4, 3, 3, 4, 4, 2, 0, 4, 3, 1, 3, 0, 0, 1, 3, 3, 4, 4, 4, 4, 0, 0, 1, 0, 2, 0, 4, 3, 2, 2, 4, 1, 4, 2, 0, 1, 0, 3, 1, 2, 4, 2, 3, 2, 4, 1, 0, 2, 0, 1, 3, 2, 1, 1, 0, 0, 1, 3, 3, 3, 3, 4, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 3, 4, 4, 2, 1, 0, 4, 4, 2, 4, 4, 4, 2, 4, 2, 2, 0, 3, 1, 0, 3, 3, 0, 1, 1, 1, 3, 0, 3, 4, 2, 4, 1, 2, 0, 0, 2, 1, 1, 3, 4, 1, 1, 3, 1, 4, 3, 0, 0, 2, 4, 0, 2, 0, 0, 2, 4, 2, 2, 3, 3, 4, 1, 2, 0, 3, 1, 2, 4, 4, 2, 3, 2, 0, 3, 2, 3, 1, 4, 1, 1, 2, 2, 2, 4, 0, 0, 3, 0, 1, 4, 2, 2, 1, 2, 4, 4, 1, 1, 4, 0, 3, 2, 1, 1, 4, 4, 3, 1] pubkeycol1428 = [2, 1, 3, 1, 2, 4, 2, 0, 2, 2, 1, 1, 4, 1, 3, 2, 4, 0, 0, 4, 0, 0, 2, 2, 1, 3, 3, 3, 4, 2, 1, 1, 3, 1, 3, 2, 3, 0, 3, 3, 1, 0, 2, 2, 2, 2, 2, 3, 1, 4, 1, 1, 3, 3, 0, 2, 3, 3, 3, 2, 2, 3, 4, 2, 3, 3, 1, 4, 1, 4, 4, 0, 3, 0, 4, 4, 1, 4, 0, 3, 0, 1, 1, 4, 4, 1, 1, 2, 3, 2, 3, 0, 0, 0, 4, 4, 4, 3, 4, 2, 1, 4, 1, 0, 3, 2, 3, 1, 2, 2, 1, 2, 1, 1, 4, 3, 4, 1, 2, 3, 2, 3, 0, 2, 2, 2, 4, 2, 0, 4, 1, 2, 4, 2, 1, 3, 4, 1, 0, 1, 3, 1, 0, 3, 2, 2, 4, 4, 2, 1, 1, 3, 4, 1, 3, 2, 4, 4, 3, 0, 2, 1, 2, 3, 0, 1, 4, 3, 3, 0, 3, 2, 4, 1, 3, 4, 4, 3, 3, 2, 0, 1, 3, 4, 3, 2, 3, 1, 4, 1, 3, 0, 1, 4, 2, 4, 0, 3, 1, 1, 2, 1, 2, 0, 2, 2, 4, 4, 3, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 1, 4, 3, 2, 0, 2, 0, 0, 4, 3, 2, 2, 4, 3, 1, 4, 4, 1, 0, 2, 4, 0, 2, 3, 2, 1, 4, 1, 2, 4, 0, 4, 1, 0, 4, 0, 4, 3, 0, 3, 0, 1, 2, 2, 0, 4, 1, 3, 3, 2, 4, 2, 1, 1, 4, 0, 2, 3, 2, 2, 1, 0, 1, 3, 0, 3, 0, 4, 4, 3, 1, 4, 2, 1, 0, 4, 2, 4, 1, 0, 2, 3, 0, 1, 3, 0, 1, 2, 4, 3, 0, 0, 3, 1, 4, 3, 1, 3, 3, 3, 3, 0, 3, 0, 2, 2, 3, 0, 1, 4, 4, 1, 1, 3, 4, 2, 2, 0, 1, 0, 2, 3, 0, 2, 2, 1, 4, 1, 3, 4, 4, 0, 0, 2, 4, 2, 4, 3, 0, 1, 4, 2, 1, 1, 0, 4, 0, 3, 0, 2, 1, 1, 4, 2, 0, 0, 3, 2, 2, 2, 3, 3, 2, 1, 1, 1, 0, 3, 3, 2, 0, 1, 0, 2, 2, 2, 3, 1, 3, 1, 1] pubkeycol1429 = [4, 0, 4, 2, 4, 4, 4, 4, 2, 3, 4, 3, 2, 3, 0, 1, 1, 1, 2, 3, 4, 3, 3, 1, 1, 1, 0, 4, 1, 4, 1, 4, 3, 0, 4, 3, 4, 1, 1, 0, 3, 4, 0, 0, 0, 4, 0, 3, 2, 1, 0, 3, 0, 2, 3, 2, 3, 1, 3, 1, 4, 1, 1, 1, 0, 3, 0, 4, 2, 3, 4, 4, 0, 2, 3, 3, 2, 4, 3, 3, 2, 1, 1, 2, 2, 4, 4, 1, 1, 4, 0, 4, 4, 0, 1, 1, 2, 1, 0, 4, 1, 4, 1, 4, 2, 0, 0, 0, 4, 3, 0, 4, 1, 4, 1, 0, 0, 3, 0, 1, 1, 2, 4, 3, 1, 0, 0, 1, 2, 2, 0, 2, 0, 4, 3, 3, 4, 2, 2, 3, 2, 1, 0, 4, 1, 3, 1, 0, 1, 2, 0, 1, 2, 0, 3, 0, 0, 0, 0, 1, 2, 3, 1, 1, 0, 2, 3, 1, 1, 3, 2, 3, 4, 4, 4, 4, 0, 3, 0, 1, 3, 4, 0, 2, 4, 3, 1, 3, 1, 3, 0, 3, 4, 1, 2, 3, 4, 2, 3, 3, 3, 3, 1, 4, 4, 4, 1, 0, 0, 3, 0, 1, 1, 3, 4, 4, 1, 2, 0, 4, 1, 3, 4, 0, 3, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 3, 2, 3, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 4, 4, 3, 0, 3, 4, 4, 1, 4, 1, 0, 0, 0, 3, 4, 0, 1, 3, 3, 3, 1, 1, 2, 0, 1, 0, 3, 1, 1, 1, 4, 0, 3, 4, 1, 4, 2, 1, 4, 4, 1, 2, 2, 3, 2, 0, 4, 2, 0, 4, 4, 2, 3, 3, 2, 1, 0, 4, 3, 4, 4, 3, 1, 3, 2, 3, 4, 4, 4, 4, 4, 0, 1, 1, 1, 4, 4, 1, 2, 3, 0, 1, 2, 1, 3, 2, 4, 3, 2, 3, 0, 4, 3, 4, 1, 2, 2, 0, 3, 1, 4, 2, 1, 2, 0, 0, 1, 0, 4, 2, 0, 3, 3, 0, 2, 0, 2, 3, 1, 1, 0, 3, 1, 4, 1, 1, 0, 2, 2, 2, 1, 3, 2, 0, 4, 4, 0, 3, 3, 1, 1, 2, 0, 1, 2] pubkeycol1430 = [4, 0, 0, 2, 0, 0, 4, 0, 0, 0, 3, 1, 0, 3, 3, 0, 4, 4, 3, 2, 2, 2, 0, 4, 2, 3, 2, 2, 0, 0, 2, 1, 2, 3, 4, 4, 4, 1, 0, 4, 1, 4, 2, 0, 3, 1, 3, 3, 0, 3, 1, 2, 0, 2, 2, 3, 1, 0, 3, 0, 1, 2, 3, 1, 3, 2, 3, 3, 0, 3, 0, 1, 1, 2, 2, 1, 3, 4, 3, 0, 3, 3, 2, 3, 0, 1, 4, 3, 3, 1, 1, 0, 4, 0, 4, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 1, 0, 3, 3, 2, 2, 0, 3, 0, 0, 0, 4, 4, 0, 3, 0, 2, 1, 4, 2, 1, 3, 4, 1, 0, 2, 4, 0, 3, 1, 3, 0, 4, 4, 1, 4, 4, 1, 4, 4, 1, 2, 0, 0, 0, 2, 1, 0, 1, 3, 3, 4, 2, 4, 0, 4, 3, 0, 3, 3, 2, 1, 1, 1, 3, 0, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 3, 3, 4, 4, 1, 3, 3, 1, 3, 3, 4, 4, 3, 3, 1, 2, 3, 3, 1, 2, 2, 4, 2, 4, 2, 1, 4, 4, 3, 3, 1, 3, 2, 2, 0, 0, 3, 1, 4, 1, 4, 4, 2, 0, 0, 4, 1, 3, 1, 0, 2, 0, 0, 0, 3, 0, 4, 2, 1, 4, 1, 3, 2, 4, 2, 3, 2, 1, 4, 3, 4, 1, 0, 2, 1, 0, 1, 1, 3, 3, 1, 1, 1, 0, 0, 4, 4, 2, 1, 4, 3, 3, 1, 0, 3, 2, 1, 4, 4, 2, 0, 3, 3, 2, 0, 3, 0, 3, 3, 1, 2, 0, 0, 3, 2, 2, 4, 0, 4, 2, 4, 2, 0, 2, 0, 4, 3, 3, 2, 1, 4, 1, 1, 2, 0, 0, 4, 1, 4, 4, 0, 4, 3, 0, 2, 4, 2, 1, 0, 4, 3, 1, 2, 3, 1, 2, 2, 3, 1, 4, 4, 4, 3, 1, 4, 3, 2, 2, 0, 4, 2, 4, 3, 1, 2, 1, 3, 3, 4, 2, 0, 2, 1, 2, 0, 0, 3, 4, 2, 3, 3, 1, 3, 1, 2, 0, 4, 1, 1, 0, 0, 2, 0, 3, 4, 4, 3, 4, 2, 0, 1, 1, 0, 1, 3, 2] pubkeycol1431 = [4, 0, 2, 1, 2, 0, 3, 1, 4, 3, 3, 0, 2, 2, 3, 0, 1, 2, 1, 3, 0, 0, 1, 4, 1, 3, 2, 0, 2, 1, 2, 4, 0, 1, 1, 2, 0, 3, 0, 1, 4, 4, 2, 3, 0, 2, 3, 1, 2, 4, 2, 0, 0, 1, 3, 3, 1, 2, 2, 1, 1, 0, 3, 4, 4, 1, 0, 3, 3, 4, 4, 2, 1, 3, 3, 2, 4, 0, 4, 1, 0, 4, 1, 2, 2, 2, 1, 4, 2, 3, 4, 2, 2, 4, 1, 4, 0, 2, 0, 3, 1, 2, 0, 0, 2, 4, 1, 4, 1, 2, 0, 1, 1, 0, 1, 1, 3, 4, 2, 4, 0, 0, 0, 4, 3, 0, 4, 3, 1, 3, 2, 1, 1, 0, 4, 4, 2, 3, 2, 4, 4, 1, 1, 4, 3, 0, 4, 2, 3, 0, 3, 3, 3, 4, 2, 1, 0, 2, 2, 2, 0, 4, 0, 4, 1, 3, 0, 2, 3, 4, 1, 1, 0, 3, 2, 1, 1, 4, 2, 0, 4, 0, 3, 1, 1, 2, 3, 4, 2, 4, 0, 3, 1, 1, 2, 1, 4, 0, 3, 0, 1, 3, 2, 2, 1, 1, 1, 0, 1, 1, 2, 4, 2, 4, 1, 0, 4, 0, 0, 4, 4, 1, 4, 4, 2, 4, 0, 1, 4, 2, 2, 4, 3, 4, 2, 1, 0, 3, 0, 2, 3, 0, 3, 0, 2, 2, 0, 1, 0, 2, 2, 3, 3, 3, 2, 2, 2, 2, 1, 3, 0, 1, 3, 2, 1, 4, 1, 2, 2, 4, 1, 1, 4, 2, 1, 4, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 3, 3, 0, 3, 2, 1, 0, 3, 4, 4, 1, 4, 1, 1, 0, 1, 1, 2, 2, 4, 4, 2, 4, 0, 0, 4, 3, 2, 4, 0, 1, 1, 2, 0, 3, 1, 0, 0, 4, 1, 2, 4, 3, 4, 2, 1, 4, 0, 0, 2, 4, 2, 0, 1, 3, 0, 0, 3, 4, 2, 3, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 3, 0, 1, 0, 1, 2, 0, 4, 4, 0, 3, 4, 4, 4, 3, 0, 2, 4, 4, 1, 3, 3, 3, 2, 0, 3, 0, 3, 2, 1, 1, 2, 0, 0, 3, 4, 0, 4, 4] pubkeycol1432 = [1, 4, 4, 0, 1, 1, 3, 2, 1, 1, 4, 0, 2, 0, 4, 4, 1, 2, 0, 1, 3, 3, 2, 3, 2, 4, 0, 2, 3, 1, 0, 2, 4, 3, 1, 4, 0, 2, 4, 4, 3, 1, 4, 2, 4, 3, 3, 2, 1, 1, 4, 4, 2, 1, 3, 1, 1, 4, 3, 2, 4, 3, 4, 2, 4, 1, 4, 0, 1, 0, 2, 0, 4, 2, 4, 2, 1, 4, 4, 1, 4, 1, 2, 0, 3, 0, 4, 4, 4, 2, 0, 0, 1, 1, 4, 4, 0, 0, 2, 4, 2, 2, 1, 3, 0, 3, 4, 2, 1, 0, 2, 1, 4, 4, 4, 1, 1, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 3, 3, 1, 3, 3, 4, 4, 3, 3, 0, 2, 3, 4, 0, 2, 4, 0, 1, 2, 1, 1, 1, 0, 4, 0, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 4, 1, 0, 3, 3, 1, 4, 2, 2, 1, 1, 3, 0, 1, 1, 0, 4, 0, 3, 0, 4, 1, 2, 3, 0, 0, 2, 3, 4, 4, 0, 4, 3, 0, 0, 0, 0, 0, 0, 1, 0, 3, 4, 3, 3, 0, 0, 3, 4, 3, 0, 3, 4, 3, 2, 3, 1, 2, 0, 3, 3, 3, 0, 4, 2, 4, 2, 0, 0, 1, 2, 1, 1, 3, 1, 3, 4, 3, 3, 2, 3, 4, 0, 1, 1, 0, 1, 0, 0, 4, 0, 0, 2, 3, 1, 3, 3, 2, 1, 4, 4, 4, 2, 0, 0, 0, 3, 3, 4, 1, 4, 2, 0, 1, 2, 4, 1, 0, 2, 2, 0, 1, 4, 4, 1, 2, 2, 1, 0, 2, 2, 1, 4, 0, 3, 2, 3, 4, 1, 3, 2, 4, 0, 3, 3, 3, 0, 4, 3, 4, 3, 0, 2, 3, 1, 4, 2, 1, 1, 3, 0, 4, 1, 1, 1, 4, 0, 4, 2, 3, 1, 4, 1, 4, 2, 0, 1, 2, 2, 3, 2, 2, 3, 1, 3, 4, 0, 2, 0, 2, 0, 3, 2, 0, 0, 2, 1, 4, 4, 2, 4, 2, 2, 4, 2, 4, 3, 3, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 3, 2, 0, 2, 2, 4, 1, 0, 3, 3, 4, 2, 2, 1, 1, 2, 2, 4, 1] pubkeycol1433 = [0, 1, 3, 2, 1, 0, 2, 0, 3, 2, 4, 3, 0, 1, 0, 3, 2, 2, 3, 2, 2, 2, 1, 1, 2, 3, 2, 3, 0, 2, 2, 3, 0, 3, 1, 0, 3, 1, 0, 0, 3, 0, 1, 0, 2, 3, 1, 0, 1, 2, 0, 0, 4, 3, 1, 0, 1, 2, 3, 4, 0, 0, 2, 1, 2, 3, 0, 3, 1, 0, 2, 1, 4, 3, 3, 3, 1, 1, 2, 3, 1, 3, 3, 0, 4, 1, 2, 0, 4, 2, 2, 1, 3, 4, 0, 0, 0, 4, 0, 1, 4, 2, 4, 2, 1, 1, 4, 4, 3, 3, 4, 1, 2, 3, 2, 3, 1, 4, 3, 0, 0, 3, 4, 1, 0, 3, 0, 0, 1, 3, 0, 1, 3, 3, 1, 3, 4, 2, 0, 2, 0, 0, 1, 1, 1, 0, 3, 0, 2, 0, 0, 1, 0, 4, 3, 2, 1, 3, 2, 4, 0, 0, 4, 0, 2, 4, 3, 4, 4, 3, 0, 4, 0, 2, 0, 0, 3, 1, 3, 4, 1, 3, 3, 4, 3, 3, 1, 1, 3, 2, 4, 4, 1, 3, 1, 2, 0, 4, 1, 2, 3, 0, 1, 1, 3, 2, 4, 3, 1, 1, 3, 4, 0, 2, 4, 1, 0, 3, 2, 4, 3, 0, 2, 1, 0, 1, 4, 3, 0, 3, 4, 1, 0, 1, 4, 2, 4, 2, 3, 0, 1, 3, 3, 4, 2, 4, 3, 3, 2, 1, 3, 2, 0, 3, 2, 1, 1, 0, 0, 2, 1, 0, 4, 2, 4, 3, 2, 3, 3, 4, 1, 3, 1, 1, 2, 1, 3, 0, 4, 1, 2, 4, 3, 4, 1, 1, 0, 4, 3, 2, 0, 1, 0, 4, 3, 4, 3, 3, 3, 1, 2, 0, 4, 3, 4, 0, 2, 0, 4, 4, 2, 4, 2, 1, 4, 1, 3, 4, 4, 3, 2, 2, 2, 2, 3, 2, 1, 4, 1, 1, 2, 1, 3, 0, 4, 1, 2, 4, 4, 0, 2, 4, 0, 0, 3, 4, 4, 2, 1, 4, 3, 2, 0, 1, 2, 0, 0, 4, 0, 2, 1, 1, 0, 2, 4, 1, 4, 4, 1, 1, 3, 4, 0, 2, 2, 2, 0, 3, 3, 2, 3, 0, 0, 2, 3, 0, 2, 1, 4, 0, 4, 4, 4, 0, 3, 3, 2, 0, 4, 0] pubkeycol1434 = [3, 1, 0, 2, 3, 0, 1, 3, 1, 2, 1, 4, 0, 0, 3, 2, 0, 0, 2, 0, 1, 3, 1, 0, 0, 0, 4, 0, 2, 4, 2, 3, 1, 4, 1, 2, 3, 2, 3, 1, 4, 3, 0, 1, 1, 1, 0, 3, 4, 1, 2, 1, 0, 4, 3, 2, 0, 0, 2, 4, 2, 0, 4, 0, 4, 3, 3, 0, 1, 4, 4, 4, 2, 1, 3, 1, 4, 2, 4, 3, 3, 4, 4, 0, 1, 0, 2, 4, 1, 1, 0, 4, 4, 4, 0, 0, 2, 3, 2, 0, 1, 1, 0, 2, 0, 4, 4, 2, 3, 2, 2, 4, 2, 0, 3, 2, 3, 4, 2, 2, 4, 0, 3, 3, 3, 3, 1, 1, 4, 2, 3, 0, 4, 2, 0, 2, 1, 4, 0, 4, 4, 3, 1, 4, 0, 2, 0, 2, 0, 2, 1, 3, 1, 1, 4, 2, 1, 1, 4, 2, 4, 2, 1, 0, 4, 1, 4, 0, 2, 0, 2, 2, 1, 4, 4, 2, 3, 0, 3, 4, 1, 4, 4, 1, 0, 3, 1, 4, 1, 2, 4, 0, 0, 2, 1, 2, 1, 0, 0, 3, 0, 2, 0, 3, 4, 4, 1, 2, 4, 2, 3, 0, 3, 0, 2, 3, 1, 1, 3, 2, 2, 3, 0, 1, 2, 4, 2, 3, 3, 4, 4, 0, 3, 1, 3, 4, 0, 4, 1, 0, 0, 4, 4, 0, 0, 1, 4, 3, 1, 1, 2, 4, 1, 2, 3, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 1, 0, 3, 0, 4, 3, 3, 1, 4, 3, 4, 2, 2, 2, 2, 4, 3, 4, 4, 4, 3, 4, 3, 0, 0, 2, 1, 3, 0, 4, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 4, 1, 1, 3, 4, 3, 2, 3, 3, 3, 4, 0, 0, 0, 1, 3, 2, 2, 4, 1, 4, 0, 1, 3, 3, 1, 4, 4, 2, 1, 2, 2, 0, 2, 4, 4, 4, 1, 1, 0, 4, 2, 3, 2, 3, 1, 4, 0, 3, 4, 2, 2, 4, 2, 0, 2, 2, 0, 2, 1, 4, 4, 3, 3, 1, 4, 3, 2, 0, 1, 1, 2, 3, 1, 4, 4, 0, 0, 2, 4, 1, 2, 4, 0, 4, 3, 3, 1, 0, 0, 0, 1, 2] pubkeycol1435 = [4, 1, 1, 1, 1, 4, 3, 3, 2, 1, 3, 1, 0, 3, 3, 0, 0, 2, 2, 4, 4, 1, 2, 1, 4, 4, 1, 4, 2, 4, 0, 1, 4, 2, 0, 4, 2, 3, 1, 2, 1, 2, 1, 2, 0, 0, 4, 2, 1, 0, 0, 4, 2, 4, 2, 3, 3, 1, 0, 0, 3, 4, 1, 0, 0, 0, 1, 2, 2, 0, 1, 4, 2, 4, 3, 3, 1, 1, 1, 2, 3, 3, 0, 3, 4, 4, 4, 2, 4, 2, 0, 4, 0, 0, 4, 1, 0, 2, 1, 2, 0, 4, 2, 1, 3, 0, 0, 1, 4, 0, 1, 2, 0, 4, 4, 1, 1, 3, 3, 3, 2, 3, 4, 1, 0, 2, 0, 3, 1, 2, 3, 0, 2, 4, 2, 3, 2, 3, 0, 3, 3, 3, 2, 0, 1, 0, 0, 3, 1, 3, 1, 1, 3, 2, 0, 0, 3, 0, 0, 3, 2, 2, 2, 1, 2, 3, 0, 2, 4, 3, 3, 1, 1, 3, 2, 2, 4, 3, 4, 2, 4, 0, 0, 2, 0, 2, 1, 2, 1, 4, 3, 2, 2, 2, 2, 3, 4, 4, 1, 3, 1, 3, 3, 1, 3, 1, 3, 0, 0, 4, 4, 4, 3, 2, 4, 3, 0, 2, 0, 0, 2, 1, 1, 1, 4, 4, 3, 2, 3, 2, 1, 1, 2, 3, 0, 2, 2, 2, 3, 2, 4, 0, 1, 4, 0, 0, 0, 2, 2, 3, 0, 3, 0, 4, 4, 1, 2, 2, 3, 1, 0, 0, 1, 4, 0, 1, 2, 3, 2, 1, 1, 2, 3, 1, 1, 2, 4, 2, 1, 4, 3, 0, 4, 3, 4, 4, 2, 3, 3, 3, 1, 1, 3, 3, 4, 0, 3, 0, 0, 3, 2, 0, 4, 4, 4, 1, 0, 2, 3, 0, 1, 2, 4, 0, 1, 1, 0, 2, 2, 2, 4, 3, 1, 2, 2, 3, 1, 2, 0, 2, 0, 1, 2, 3, 1, 2, 1, 3, 1, 3, 3, 1, 4, 3, 2, 2, 3, 0, 2, 2, 1, 0, 1, 4, 3, 2, 1, 4, 4, 3, 2, 3, 4, 0, 2, 2, 4, 0, 0, 2, 0, 0, 2, 4, 3, 1, 4, 0, 0, 2, 4, 2, 2, 4, 3, 0, 0, 2, 1, 1, 3, 1, 0, 3, 0, 0, 4, 2, 4, 2] pubkeycol1436 = [4, 1, 2, 2, 2, 2, 0, 0, 3, 0, 1, 4, 4, 2, 1, 4, 2, 1, 2, 2, 2, 4, 2, 2, 0, 4, 4, 0, 0, 2, 1, 2, 4, 3, 4, 1, 2, 4, 1, 2, 3, 4, 4, 3, 3, 3, 2, 3, 0, 1, 3, 2, 2, 0, 4, 2, 4, 1, 3, 0, 0, 4, 0, 1, 4, 0, 4, 4, 1, 0, 0, 2, 0, 4, 3, 0, 0, 4, 2, 2, 2, 4, 3, 3, 3, 3, 1, 1, 4, 2, 3, 2, 4, 3, 4, 1, 4, 1, 3, 0, 4, 0, 2, 3, 4, 2, 1, 3, 4, 3, 2, 4, 4, 2, 4, 1, 0, 1, 4, 4, 0, 1, 2, 2, 1, 4, 3, 3, 1, 2, 3, 1, 4, 1, 4, 4, 3, 1, 2, 0, 1, 1, 0, 2, 2, 1, 4, 4, 3, 2, 0, 0, 4, 4, 2, 4, 3, 3, 1, 4, 4, 1, 4, 3, 1, 1, 0, 2, 2, 1, 3, 3, 2, 3, 1, 0, 4, 0, 4, 3, 0, 3, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 4, 2, 0, 2, 2, 3, 4, 4, 2, 1, 1, 3, 1, 2, 4, 2, 1, 3, 0, 0, 0, 1, 4, 0, 4, 0, 0, 2, 4, 3, 4, 2, 1, 0, 4, 0, 4, 0, 3, 4, 1, 3, 3, 1, 2, 3, 1, 1, 3, 3, 2, 0, 3, 1, 1, 1, 1, 0, 4, 1, 4, 1, 1, 1, 0, 1, 2, 0, 3, 4, 0, 3, 1, 1, 3, 4, 4, 2, 4, 0, 4, 0, 2, 4, 0, 3, 0, 4, 4, 3, 2, 2, 1, 3, 0, 4, 0, 4, 4, 2, 1, 3, 0, 4, 4, 4, 3, 3, 0, 3, 0, 1, 3, 3, 4, 1, 2, 0, 4, 4, 0, 4, 3, 1, 3, 4, 3, 1, 4, 0, 2, 2, 2, 3, 1, 0, 1, 2, 4, 2, 2, 3, 2, 1, 3, 2, 3, 3, 4, 0, 0, 3, 0, 2, 2, 3, 4, 1, 2, 0, 3, 4, 2, 3, 3, 0, 3, 1, 4, 1, 4, 0, 1, 3, 2, 1, 3, 2, 1, 0, 0, 0, 1, 1, 4, 4, 4, 0, 2, 4, 4, 3, 0, 3, 4, 4, 3, 0, 3, 4, 4, 3, 0, 0, 4, 1, 3, 4] pubkeycol1437 = [0, 4, 0, 4, 1, 0, 3, 3, 4, 4, 1, 2, 3, 3, 0, 0, 2, 4, 1, 3, 3, 2, 2, 4, 2, 1, 3, 3, 4, 1, 1, 2, 3, 2, 0, 0, 4, 0, 3, 4, 0, 1, 3, 1, 1, 2, 2, 4, 0, 2, 4, 2, 1, 4, 1, 0, 1, 3, 4, 3, 3, 2, 0, 0, 1, 4, 0, 2, 2, 2, 2, 2, 0, 1, 2, 4, 0, 3, 4, 2, 2, 1, 4, 3, 4, 3, 4, 1, 0, 1, 2, 2, 3, 1, 0, 2, 3, 1, 3, 2, 1, 0, 0, 4, 3, 3, 4, 1, 3, 3, 3, 0, 3, 1, 1, 4, 4, 2, 3, 3, 4, 3, 3, 1, 0, 2, 0, 1, 0, 4, 3, 4, 4, 0, 0, 4, 1, 3, 4, 2, 1, 1, 4, 1, 1, 3, 2, 2, 2, 3, 0, 3, 0, 3, 0, 1, 2, 3, 4, 3, 0, 4, 2, 1, 3, 3, 2, 1, 3, 3, 0, 2, 4, 0, 0, 4, 2, 0, 0, 0, 4, 4, 4, 0, 4, 0, 2, 2, 4, 3, 3, 4, 2, 2, 3, 3, 4, 4, 3, 3, 0, 3, 3, 0, 1, 3, 3, 0, 3, 1, 2, 4, 0, 3, 3, 3, 3, 0, 2, 3, 0, 0, 2, 0, 1, 3, 0, 0, 4, 4, 4, 0, 4, 2, 2, 2, 1, 4, 0, 4, 1, 4, 3, 3, 0, 4, 4, 0, 3, 2, 0, 4, 3, 0, 1, 1, 1, 4, 3, 0, 0, 4, 3, 1, 4, 0, 2, 3, 2, 0, 1, 0, 1, 3, 1, 1, 3, 2, 1, 4, 3, 1, 4, 2, 1, 1, 3, 4, 2, 0, 3, 4, 2, 1, 0, 1, 4, 3, 2, 2, 3, 1, 2, 0, 0, 1, 2, 1, 1, 3, 3, 1, 3, 4, 4, 1, 3, 1, 2, 4, 3, 4, 3, 4, 4, 0, 0, 3, 3, 1, 3, 3, 2, 2, 1, 4, 2, 3, 4, 2, 0, 0, 1, 2, 4, 1, 1, 1, 2, 4, 2, 2, 0, 1, 2, 3, 4, 0, 0, 2, 3, 4, 0, 2, 2, 1, 2, 1, 2, 3, 2, 1, 1, 1, 4, 3, 4, 0, 1, 4, 4, 0, 0, 4, 3, 3, 2, 3, 3, 1, 4, 2, 4, 4, 4, 3, 1, 0, 0, 0] pubkeycol1438 = [2, 0, 4, 3, 3, 0, 3, 4, 3, 4, 2, 0, 2, 1, 0, 0, 3, 3, 1, 0, 4, 2, 0, 4, 3, 3, 0, 0, 1, 4, 1, 4, 4, 4, 3, 0, 3, 0, 0, 4, 1, 0, 2, 2, 2, 2, 4, 1, 4, 1, 2, 2, 2, 2, 2, 1, 2, 3, 4, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 4, 1, 3, 2, 4, 0, 2, 1, 0, 2, 1, 4, 0, 0, 3, 3, 1, 3, 4, 4, 4, 4, 3, 2, 2, 3, 3, 3, 0, 0, 1, 3, 4, 4, 0, 3, 4, 1, 3, 4, 1, 4, 3, 2, 1, 3, 2, 1, 1, 4, 1, 0, 0, 2, 2, 4, 0, 4, 1, 3, 0, 0, 3, 4, 3, 2, 1, 2, 4, 1, 1, 1, 3, 3, 1, 4, 2, 1, 4, 0, 2, 2, 4, 3, 2, 3, 1, 0, 0, 1, 1, 4, 4, 0, 3, 0, 0, 2, 2, 4, 0, 0, 4, 2, 0, 2, 2, 2, 2, 4, 3, 1, 0, 0, 2, 2, 4, 4, 2, 1, 2, 0, 4, 0, 3, 1, 3, 0, 1, 0, 1, 1, 0, 0, 0, 1, 4, 4, 2, 2, 2, 0, 4, 1, 0, 3, 4, 0, 0, 0, 3, 1, 4, 0, 0, 4, 2, 2, 2, 3, 3, 4, 1, 4, 4, 1, 1, 0, 2, 3, 0, 0, 2, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 3, 4, 2, 3, 3, 4, 1, 1, 2, 4, 0, 4, 0, 3, 0, 3, 3, 3, 2, 3, 4, 4, 1, 2, 1, 2, 0, 3, 3, 4, 0, 2, 1, 2, 4, 2, 2, 3, 3, 2, 3, 3, 0, 1, 0, 4, 2, 1, 2, 1, 4, 1, 0, 1, 3, 4, 3, 3, 2, 0, 2, 1, 1, 0, 1, 1, 3, 1, 0, 4, 4, 4, 0, 0, 4, 1, 1, 1, 0, 2, 3, 4, 4, 3, 1, 0, 1, 1, 3, 2, 0, 2, 4, 3, 4, 2, 2, 3, 0, 3, 4, 4, 2, 3, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 4, 4, 1, 0, 2, 1, 1, 3, 3, 0, 3, 1, 1, 2, 4, 0, 1, 3, 1, 2, 1, 3, 3, 1, 1, 4, 3, 3, 3, 4, 2, 2] pubkeycol1439 = [0, 1, 1, 4, 4, 3, 4, 4, 1, 3, 3, 2, 1, 2, 4, 2, 4, 4, 2, 4, 2, 0, 3, 4, 4, 2, 2, 1, 1, 0, 1, 3, 1, 2, 0, 1, 0, 4, 2, 4, 3, 3, 3, 0, 4, 2, 0, 3, 2, 3, 0, 3, 3, 4, 2, 4, 1, 0, 3, 4, 1, 0, 0, 3, 3, 4, 1, 1, 4, 4, 2, 0, 4, 2, 0, 2, 0, 3, 3, 4, 3, 1, 1, 1, 0, 4, 4, 2, 3, 1, 4, 3, 3, 0, 3, 1, 2, 2, 3, 1, 3, 3, 4, 2, 1, 4, 2, 0, 2, 2, 4, 2, 3, 3, 1, 3, 0, 1, 2, 4, 0, 1, 2, 2, 4, 0, 3, 1, 4, 4, 4, 4, 0, 2, 0, 1, 3, 4, 1, 0, 1, 0, 4, 3, 1, 2, 4, 2, 0, 3, 3, 3, 0, 1, 1, 2, 0, 1, 0, 4, 0, 3, 0, 2, 2, 1, 1, 0, 1, 1, 3, 3, 4, 4, 1, 4, 0, 3, 3, 2, 1, 2, 2, 1, 4, 1, 2, 2, 3, 4, 0, 4, 2, 3, 0, 0, 0, 0, 1, 0, 2, 2, 3, 3, 2, 4, 1, 0, 3, 4, 3, 3, 0, 1, 3, 3, 2, 2, 1, 1, 4, 3, 1, 0, 1, 0, 2, 3, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 0, 0, 0, 1, 1, 3, 3, 1, 4, 3, 3, 2, 1, 1, 0, 2, 0, 2, 4, 0, 1, 2, 1, 4, 3, 1, 4, 3, 0, 3, 0, 1, 1, 3, 2, 3, 0, 4, 1, 2, 2, 2, 0, 4, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 4, 2, 3, 3, 1, 0, 1, 4, 4, 1, 4, 1, 2, 1, 0, 0, 4, 4, 4, 0, 3, 4, 0, 0, 2, 2, 2, 3, 2, 3, 4, 3, 2, 4, 0, 2, 3, 1, 1, 2, 1, 3, 1, 1, 4, 1, 2, 3, 3, 2, 0, 3, 4, 3, 3, 0, 1, 1, 1, 1, 2, 2, 0, 3, 4, 1, 1, 4, 0, 2, 2, 1, 1, 1, 3, 3, 1, 3, 3, 2, 1, 2, 0, 0, 3, 2, 4, 4, 1, 3, 2, 4, 2, 2, 4, 1, 0, 1, 1, 0, 1, 1, 3, 3, 4, 0] pubkeycol1440 = [0, 1, 0, 4, 3, 4, 1, 3, 0, 3, 3, 2, 2, 3, 3, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 3, 4, 1, 1, 4, 1, 2, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 4, 0, 1, 2, 1, 2, 0, 2, 0, 3, 4, 1, 4, 1, 3, 4, 0, 4, 3, 0, 2, 3, 0, 3, 1, 0, 1, 3, 3, 3, 3, 1, 0, 4, 0, 2, 4, 4, 4, 1, 0, 0, 1, 0, 4, 3, 0, 3, 0, 0, 1, 0, 2, 3, 0, 1, 2, 4, 0, 3, 4, 4, 3, 3, 0, 0, 0, 4, 1, 0, 2, 0, 3, 1, 3, 1, 0, 4, 3, 4, 4, 0, 0, 0, 0, 4, 1, 1, 3, 0, 4, 4, 1, 4, 2, 3, 3, 3, 0, 0, 1, 0, 1, 1, 3, 4, 1, 0, 2, 4, 0, 3, 4, 3, 0, 4, 3, 1, 3, 0, 2, 1, 4, 3, 0, 0, 1, 2, 1, 3, 4, 2, 1, 0, 2, 2, 4, 4, 0, 3, 0, 1, 1, 3, 4, 3, 4, 0, 1, 4, 0, 3, 1, 4, 0, 3, 0, 0, 2, 4, 4, 3, 4, 1, 0, 3, 4, 3, 4, 4, 0, 1, 0, 0, 0, 1, 1, 3, 0, 3, 1, 4, 4, 1, 0, 1, 1, 3, 2, 4, 3, 0, 1, 2, 0, 4, 0, 0, 3, 1, 2, 2, 2, 4, 4, 1, 1, 4, 2, 0, 2, 2, 1, 3, 1, 4, 2, 1, 3, 1, 3, 0, 0, 2, 1, 2, 1, 4, 4, 3, 3, 4, 2, 1, 1, 0, 2, 3, 1, 1, 4, 4, 4, 4, 2, 1, 0, 0, 3, 1, 1, 4, 2, 3, 1, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 0, 4, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 4, 3, 4, 0, 0, 1, 2, 2, 4, 0, 1, 4, 2, 3, 4, 3, 0, 0, 2, 3, 4, 2, 2, 1, 2, 3, 4, 3, 3, 1, 0, 1, 2, 3, 0, 1, 3, 1, 2, 1, 0, 4, 1, 2, 4, 2, 4, 2, 2, 4, 4, 1, 2, 3, 4, 3, 0, 2, 3, 0, 3, 2, 0, 1, 3, 2, 4, 3, 2, 1, 2, 1] pubkeycol1441 = [1, 0, 3, 2, 1, 1, 0, 4, 3, 1, 1, 4, 2, 1, 4, 3, 1, 1, 3, 2, 1, 3, 2, 2, 1, 4, 1, 1, 3, 0, 3, 2, 4, 4, 3, 2, 0, 1, 3, 2, 1, 3, 3, 1, 0, 1, 0, 2, 4, 3, 0, 3, 0, 3, 1, 0, 2, 3, 0, 3, 2, 2, 0, 1, 1, 3, 4, 2, 0, 4, 0, 2, 0, 0, 0, 2, 2, 3, 3, 1, 4, 2, 2, 3, 4, 2, 2, 1, 1, 4, 4, 3, 0, 0, 2, 4, 3, 1, 0, 4, 1, 0, 3, 4, 3, 1, 0, 2, 1, 0, 2, 3, 4, 4, 2, 4, 0, 2, 3, 1, 4, 0, 0, 2, 4, 0, 4, 4, 4, 0, 0, 1, 1, 1, 2, 1, 4, 0, 3, 3, 1, 3, 4, 4, 0, 2, 2, 3, 3, 3, 1, 3, 3, 1, 0, 4, 1, 1, 2, 4, 1, 4, 0, 2, 2, 4, 3, 3, 0, 4, 4, 0, 2, 1, 0, 3, 2, 3, 4, 0, 3, 4, 4, 4, 3, 1, 2, 0, 3, 4, 1, 0, 1, 2, 2, 0, 3, 3, 1, 1, 3, 3, 3, 2, 4, 1, 0, 0, 1, 3, 1, 2, 4, 3, 2, 2, 4, 1, 3, 3, 0, 4, 4, 2, 3, 0, 3, 4, 3, 4, 2, 3, 4, 1, 4, 2, 1, 4, 1, 2, 1, 2, 0, 3, 2, 2, 4, 3, 1, 3, 0, 4, 4, 2, 0, 2, 4, 2, 3, 4, 4, 2, 0, 0, 1, 3, 2, 3, 1, 3, 3, 1, 3, 2, 2, 3, 4, 3, 0, 4, 3, 0, 3, 4, 3, 4, 0, 0, 2, 0, 0, 1, 3, 2, 0, 3, 0, 4, 0, 1, 4, 3, 2, 3, 4, 4, 1, 1, 1, 1, 4, 3, 2, 3, 2, 4, 1, 0, 4, 3, 4, 3, 2, 0, 2, 2, 4, 2, 4, 1, 1, 0, 0, 3, 0, 0, 3, 3, 2, 0, 2, 2, 2, 1, 4, 2, 4, 3, 1, 4, 1, 2, 0, 4, 4, 1, 1, 1, 1, 0, 4, 3, 2, 1, 2, 0, 3, 3, 3, 3, 0, 4, 1, 2, 0, 3, 2, 4, 3, 0, 2, 4, 0, 0, 0, 2, 3, 3, 4, 4, 0, 4, 3, 4, 1, 4, 2, 0, 1, 3] pubkeycol1442 = [4, 3, 4, 3, 4, 1, 2, 4, 4, 4, 2, 0, 1, 4, 0, 3, 0, 0, 4, 2, 4, 1, 4, 3, 1, 2, 0, 2, 3, 4, 4, 2, 4, 4, 1, 0, 1, 3, 3, 4, 1, 0, 0, 3, 0, 4, 4, 3, 2, 4, 4, 2, 2, 4, 2, 3, 1, 2, 2, 4, 0, 3, 3, 1, 0, 2, 2, 1, 2, 1, 0, 4, 2, 4, 4, 1, 4, 3, 2, 1, 2, 3, 0, 4, 4, 0, 0, 4, 2, 1, 1, 0, 3, 0, 3, 3, 1, 0, 3, 4, 4, 1, 1, 0, 2, 2, 1, 1, 0, 3, 1, 4, 3, 4, 3, 3, 4, 1, 4, 2, 4, 3, 4, 2, 3, 0, 0, 3, 0, 0, 3, 0, 0, 4, 2, 4, 1, 2, 3, 3, 1, 3, 2, 0, 0, 3, 2, 0, 3, 4, 4, 2, 2, 4, 0, 4, 0, 1, 3, 3, 1, 3, 3, 2, 3, 1, 4, 1, 4, 0, 1, 1, 4, 0, 0, 0, 2, 4, 3, 1, 2, 1, 2, 0, 3, 1, 4, 1, 2, 2, 1, 1, 3, 1, 4, 0, 2, 4, 3, 1, 3, 3, 3, 4, 0, 1, 3, 4, 2, 3, 2, 0, 1, 4, 4, 3, 3, 1, 4, 0, 0, 4, 4, 0, 2, 2, 0, 0, 3, 1, 3, 3, 1, 3, 0, 4, 4, 2, 3, 0, 3, 2, 4, 4, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 4, 3, 4, 0, 4, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 1, 1, 2, 4, 3, 1, 3, 2, 3, 0, 1, 2, 2, 0, 3, 3, 1, 2, 4, 3, 2, 0, 3, 3, 0, 4, 0, 0, 1, 4, 3, 4, 0, 4, 1, 1, 1, 0, 4, 0, 3, 0, 1, 0, 4, 0, 1, 3, 3, 0, 3, 2, 3, 3, 0, 1, 0, 0, 3, 1, 3, 0, 4, 1, 1, 0, 4, 2, 2, 4, 2, 4, 4, 1, 1, 0, 1, 1, 3, 1, 3, 1, 0, 1, 1, 4, 2, 0, 1, 3, 4, 2, 0, 4, 4, 2, 4, 1, 3, 3, 4, 3, 1, 1, 1, 3, 3, 0, 4, 1, 0, 1, 2, 2, 2, 3, 0, 4, 4, 1, 2, 3, 0, 0] pubkeycol1443 = [1, 1, 3, 0, 2, 1, 4, 0, 0, 0, 1, 1, 3, 3, 2, 3, 3, 2, 1, 1, 2, 0, 0, 4, 3, 4, 1, 3, 2, 3, 4, 2, 4, 2, 2, 1, 2, 3, 0, 1, 3, 1, 2, 2, 0, 2, 3, 2, 1, 2, 2, 2, 1, 1, 4, 2, 3, 0, 3, 1, 2, 2, 0, 3, 2, 2, 2, 3, 1, 0, 4, 0, 0, 2, 0, 4, 1, 2, 3, 1, 0, 4, 2, 2, 2, 2, 1, 1, 0, 4, 2, 0, 4, 4, 2, 1, 3, 0, 1, 2, 3, 0, 2, 1, 2, 4, 3, 0, 1, 1, 1, 4, 4, 0, 0, 0, 4, 2, 1, 1, 2, 1, 3, 2, 0, 4, 4, 2, 2, 1, 3, 0, 4, 4, 0, 3, 0, 1, 1, 4, 1, 4, 4, 3, 0, 0, 2, 4, 3, 3, 1, 4, 3, 2, 3, 0, 2, 3, 1, 4, 0, 1, 0, 4, 0, 2, 1, 0, 1, 3, 1, 1, 0, 1, 2, 2, 0, 3, 2, 2, 3, 0, 1, 4, 3, 3, 1, 0, 2, 2, 4, 2, 0, 1, 0, 2, 0, 3, 0, 4, 1, 3, 4, 0, 4, 0, 0, 4, 3, 0, 0, 0, 4, 1, 0, 1, 1, 0, 1, 3, 1, 3, 0, 3, 3, 1, 2, 4, 3, 4, 0, 1, 4, 4, 3, 4, 3, 3, 0, 3, 0, 4, 0, 4, 1, 3, 3, 1, 3, 0, 2, 3, 4, 1, 0, 1, 3, 2, 4, 4, 2, 0, 4, 0, 0, 3, 1, 1, 1, 2, 3, 1, 4, 4, 1, 2, 4, 0, 2, 0, 2, 3, 0, 0, 2, 1, 0, 3, 3, 3, 2, 0, 3, 3, 3, 3, 0, 2, 1, 0, 3, 2, 0, 2, 4, 0, 0, 4, 2, 4, 0, 4, 4, 4, 3, 1, 1, 2, 4, 1, 3, 4, 2, 0, 0, 0, 1, 1, 4, 0, 0, 1, 0, 2, 0, 0, 1, 3, 0, 3, 3, 4, 4, 1, 3, 4, 4, 2, 4, 1, 0, 4, 0, 0, 0, 4, 3, 4, 2, 2, 1, 4, 0, 3, 1, 0, 4, 3, 0, 3, 0, 2, 3, 2, 4, 4, 3, 4, 4, 4, 0, 1, 0, 3, 0, 0, 1, 1, 4, 4, 0, 3, 4, 4, 1, 0, 0, 1, 0, 4] pubkeycol1444 = [3, 0, 0, 4, 0, 0, 4, 0, 2, 0, 3, 3, 3, 1, 1, 3, 2, 1, 1, 2, 3, 3, 3, 0, 0, 2, 3, 2, 1, 2, 0, 3, 1, 3, 3, 3, 4, 2, 3, 3, 4, 1, 2, 3, 1, 0, 0, 0, 2, 0, 4, 1, 1, 0, 3, 0, 4, 3, 1, 1, 2, 4, 3, 3, 0, 3, 1, 0, 0, 3, 4, 0, 2, 4, 3, 3, 3, 0, 1, 4, 2, 3, 2, 4, 2, 2, 1, 0, 0, 2, 1, 4, 3, 3, 1, 4, 4, 3, 1, 1, 4, 0, 4, 1, 0, 1, 0, 1, 4, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 3, 0, 1, 1, 2, 0, 1, 1, 4, 3, 2, 0, 3, 0, 3, 4, 3, 4, 3, 4, 2, 1, 3, 1, 1, 2, 3, 4, 3, 4, 4, 3, 4, 2, 3, 3, 3, 2, 1, 0, 2, 2, 3, 4, 3, 1, 3, 3, 2, 2, 2, 3, 2, 0, 1, 3, 3, 4, 3, 3, 2, 1, 2, 2, 0, 4, 4, 3, 3, 4, 2, 2, 4, 4, 4, 2, 0, 2, 0, 2, 2, 2, 1, 4, 2, 2, 3, 4, 0, 4, 3, 0, 1, 3, 0, 3, 2, 2, 1, 2, 4, 2, 0, 3, 4, 4, 0, 4, 0, 1, 0, 0, 1, 4, 4, 0, 4, 0, 1, 4, 1, 0, 0, 0, 4, 4, 4, 2, 2, 0, 4, 2, 4, 1, 3, 0, 0, 2, 2, 0, 3, 2, 3, 0, 4, 0, 4, 3, 2, 3, 2, 3, 1, 1, 3, 1, 3, 0, 1, 2, 0, 3, 1, 1, 2, 3, 3, 3, 3, 2, 0, 1, 4, 3, 2, 3, 3, 4, 0, 3, 1, 2, 4, 2, 4, 0, 2, 0, 4, 3, 3, 1, 4, 4, 0, 4, 1, 4, 4, 1, 1, 1, 2, 1, 1, 3, 3, 1, 0, 4, 2, 1, 1, 3, 4, 0, 3, 0, 1, 2, 0, 4, 3, 1, 4, 1, 4, 0, 4, 4, 3, 2, 2, 3, 2, 1, 0, 1, 0, 2, 4, 0, 4, 0, 3, 3, 4, 1, 1, 1, 0, 0, 2, 3, 2, 1, 0, 1, 1, 3, 3, 0, 0, 3, 3, 1, 4, 2, 3, 3, 2, 3, 0, 0, 1, 3, 0, 4, 3, 0, 1] pubkeycol1445 = [4, 4, 2, 1, 3, 4, 2, 0, 2, 2, 2, 1, 4, 1, 3, 2, 3, 0, 1, 2, 3, 4, 2, 4, 2, 0, 2, 0, 4, 0, 2, 0, 0, 1, 1, 3, 2, 0, 2, 4, 4, 1, 2, 2, 0, 1, 0, 3, 0, 0, 0, 2, 2, 4, 3, 1, 1, 0, 4, 1, 0, 2, 3, 0, 3, 4, 0, 4, 2, 2, 0, 2, 3, 2, 2, 0, 1, 2, 3, 3, 4, 4, 2, 3, 4, 0, 4, 1, 3, 2, 2, 3, 4, 3, 2, 3, 3, 2, 2, 2, 1, 3, 1, 0, 4, 4, 3, 2, 1, 4, 4, 4, 1, 2, 0, 3, 3, 0, 1, 2, 3, 4, 4, 2, 2, 0, 4, 4, 3, 0, 2, 1, 1, 2, 0, 2, 0, 0, 3, 3, 0, 1, 1, 0, 1, 1, 1, 4, 1, 0, 0, 4, 2, 3, 3, 1, 3, 3, 2, 1, 2, 2, 0, 4, 2, 3, 4, 4, 2, 1, 4, 2, 0, 1, 1, 2, 0, 3, 3, 2, 0, 4, 2, 4, 0, 3, 4, 2, 3, 1, 3, 2, 2, 4, 0, 1, 2, 4, 3, 4, 0, 0, 2, 1, 4, 0, 4, 1, 2, 0, 3, 3, 3, 4, 0, 2, 1, 1, 0, 0, 2, 4, 1, 3, 1, 1, 0, 1, 1, 3, 2, 4, 1, 0, 4, 4, 4, 4, 0, 2, 2, 0, 1, 4, 4, 3, 0, 4, 1, 3, 2, 2, 3, 0, 2, 4, 0, 3, 2, 4, 0, 3, 4, 4, 4, 0, 0, 2, 2, 2, 4, 4, 1, 0, 4, 2, 2, 4, 2, 0, 0, 2, 2, 3, 4, 1, 3, 1, 1, 1, 3, 1, 4, 0, 3, 0, 2, 1, 1, 0, 1, 1, 1, 1, 4, 2, 2, 3, 1, 3, 2, 0, 2, 0, 1, 4, 1, 3, 0, 4, 4, 3, 2, 4, 3, 0, 1, 0, 1, 1, 2, 3, 4, 0, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 1, 4, 2, 4, 1, 1, 1, 4, 1, 0, 1, 3, 0, 0, 1, 2, 2, 4, 3, 4, 3, 3, 2, 3, 3, 2, 2, 3, 1, 0, 0, 2, 2, 4, 1, 1, 0, 2, 1, 0, 4, 2, 4, 0, 0, 1, 3, 1, 3, 3, 0, 0, 2, 2, 0, 4] pubkeycol1446 = [1, 3, 3, 0, 4, 2, 0, 3, 0, 1, 2, 0, 2, 4, 4, 3, 3, 3, 0, 1, 3, 4, 0, 3, 0, 2, 3, 2, 3, 4, 1, 0, 2, 0, 0, 3, 0, 2, 1, 1, 2, 4, 0, 4, 0, 2, 1, 0, 0, 4, 4, 4, 3, 1, 4, 0, 3, 4, 0, 3, 0, 3, 0, 2, 2, 4, 0, 0, 3, 2, 2, 1, 2, 1, 4, 2, 0, 0, 3, 3, 0, 0, 0, 2, 3, 2, 3, 3, 2, 3, 2, 3, 0, 2, 4, 3, 4, 4, 3, 1, 4, 3, 0, 3, 0, 4, 3, 3, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 2, 0, 1, 3, 1, 2, 4, 3, 4, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 3, 3, 4, 4, 1, 4, 0, 4, 0, 0, 1, 4, 2, 4, 3, 2, 3, 3, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 4, 4, 4, 3, 3, 1, 2, 2, 1, 4, 4, 0, 2, 2, 3, 1, 4, 3, 3, 1, 1, 4, 1, 3, 4, 2, 0, 2, 0, 1, 1, 0, 1, 4, 3, 0, 2, 0, 2, 2, 0, 4, 4, 1, 4, 1, 4, 1, 4, 2, 1, 4, 1, 4, 2, 1, 1, 1, 1, 3, 1, 4, 0, 1, 3, 0, 4, 3, 1, 4, 1, 4, 4, 1, 4, 0, 4, 1, 4, 4, 2, 4, 3, 0, 4, 1, 4, 4, 4, 0, 0, 2, 0, 0, 3, 1, 1, 0, 0, 3, 1, 4, 3, 4, 4, 1, 1, 2, 3, 0, 1, 4, 2, 0, 1, 3, 0, 3, 3, 0, 4, 0, 2, 4, 4, 1, 0, 2, 3, 0, 1, 0, 4, 3, 2, 3, 1, 3, 2, 1, 1, 2, 0, 3, 0, 3, 2, 2, 3, 0, 3, 3, 1, 3, 1, 2, 2, 1, 3, 2, 3, 3, 2, 2, 0, 1, 0, 3, 4, 0, 3, 1, 2, 1, 4, 1, 2, 2, 4, 1, 1, 0, 1, 2, 2, 1, 2, 3, 4, 1, 2, 0, 2, 3, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 0, 4, 0, 1, 0, 2, 4, 4, 3, 0, 2, 3, 3, 4, 1, 2, 0, 2, 4, 0, 2, 3, 1, 2, 3, 1, 2, 1] pubkeycol1447 = [2, 2, 2, 3, 1, 4, 4, 1, 4, 2, 1, 0, 4, 4, 3, 1, 0, 4, 1, 2, 1, 3, 3, 4, 3, 1, 1, 3, 3, 4, 4, 3, 0, 2, 2, 4, 3, 2, 1, 0, 1, 0, 1, 3, 4, 1, 2, 2, 1, 3, 2, 1, 2, 1, 0, 1, 2, 4, 2, 4, 3, 2, 0, 0, 1, 4, 2, 1, 3, 2, 3, 1, 2, 2, 0, 4, 2, 0, 2, 1, 0, 0, 0, 0, 3, 4, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 4, 4, 4, 1, 0, 2, 1, 3, 4, 4, 4, 4, 0, 1, 2, 1, 1, 3, 4, 0, 0, 2, 1, 3, 2, 1, 4, 2, 4, 3, 0, 4, 0, 0, 2, 2, 0, 0, 0, 4, 3, 3, 3, 1, 1, 4, 2, 4, 1, 4, 2, 4, 1, 3, 3, 3, 1, 4, 1, 2, 4, 4, 4, 2, 2, 3, 4, 4, 0, 1, 2, 3, 4, 1, 3, 0, 0, 1, 0, 3, 1, 2, 4, 4, 2, 2, 1, 3, 2, 1, 2, 1, 1, 4, 2, 2, 2, 4, 2, 3, 1, 4, 4, 4, 3, 4, 1, 2, 3, 2, 0, 0, 2, 2, 0, 0, 1, 1, 3, 2, 4, 0, 2, 3, 1, 1, 1, 1, 4, 3, 4, 2, 0, 1, 1, 2, 1, 0, 2, 0, 3, 3, 4, 4, 2, 4, 4, 3, 2, 1, 1, 3, 2, 3, 1, 0, 4, 4, 3, 4, 2, 3, 1, 3, 3, 3, 0, 0, 3, 3, 1, 4, 1, 0, 0, 2, 2, 4, 0, 0, 3, 1, 3, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 4, 4, 0, 4, 0, 3, 0, 2, 3, 2, 1, 1, 2, 4, 1, 4, 0, 4, 3, 3, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 3, 4, 1, 4, 2, 2, 0, 0, 4, 3, 0, 0, 2, 4, 1, 3, 1, 2, 1, 4, 1, 2, 2, 0, 4, 4, 4, 3, 1, 1, 0, 2, 0, 4, 1, 0, 1, 0, 0, 1, 1, 0, 4, 3, 1, 4, 4, 4, 0, 1, 2, 4, 4, 4, 4, 4, 3, 3, 2, 2, 4, 3, 2, 2, 3, 1, 2, 2, 2, 0, 4, 0, 3, 1, 4, 0, 0, 4, 2, 3, 1] pubkeycol1448 = [1, 3, 0, 1, 1, 3, 2, 2, 3, 3, 2, 4, 4, 4, 4, 2, 1, 4, 0, 2, 2, 1, 1, 1, 3, 4, 1, 1, 4, 0, 3, 1, 2, 3, 2, 4, 4, 2, 0, 3, 1, 4, 1, 1, 0, 4, 4, 4, 1, 2, 1, 2, 3, 2, 0, 0, 1, 2, 1, 4, 2, 0, 4, 2, 2, 2, 4, 4, 2, 0, 3, 3, 1, 3, 1, 1, 4, 3, 1, 1, 0, 4, 1, 3, 2, 0, 3, 4, 2, 3, 4, 1, 3, 4, 4, 3, 0, 2, 0, 3, 0, 3, 0, 0, 1, 3, 3, 1, 4, 0, 1, 0, 2, 4, 4, 3, 1, 0, 2, 1, 0, 0, 2, 1, 4, 1, 2, 0, 0, 4, 3, 4, 1, 3, 2, 2, 1, 1, 2, 0, 4, 4, 2, 1, 1, 1, 0, 0, 3, 4, 4, 0, 2, 4, 0, 0, 2, 2, 1, 3, 4, 1, 0, 4, 0, 1, 1, 2, 1, 3, 3, 1, 2, 3, 1, 2, 4, 3, 0, 2, 0, 4, 1, 1, 4, 2, 2, 4, 2, 4, 0, 1, 0, 4, 4, 4, 0, 2, 0, 1, 2, 3, 2, 3, 2, 2, 4, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 4, 2, 3, 2, 1, 0, 0, 2, 2, 1, 1, 3, 0, 4, 4, 3, 3, 4, 3, 4, 0, 4, 0, 3, 3, 1, 0, 3, 4, 4, 3, 1, 1, 2, 4, 3, 1, 4, 4, 3, 4, 3, 0, 4, 2, 1, 1, 4, 3, 0, 2, 3, 3, 4, 2, 4, 0, 1, 3, 1, 2, 4, 0, 3, 0, 1, 3, 0, 4, 4, 3, 3, 1, 2, 1, 0, 4, 2, 3, 3, 0, 0, 0, 2, 4, 3, 4, 2, 0, 0, 0, 0, 0, 4, 0, 1, 3, 0, 1, 1, 3, 2, 1, 3, 4, 4, 3, 3, 1, 3, 4, 0, 4, 0, 3, 3, 0, 2, 0, 4, 4, 2, 0, 0, 3, 0, 3, 3, 0, 4, 3, 4, 1, 0, 1, 3, 3, 2, 0, 2, 1, 0, 0, 1, 4, 0, 1, 3, 0, 2, 2, 2, 0, 1, 2, 4, 1, 2, 4, 1, 2, 3, 4, 1, 2, 4, 2, 2, 2, 3, 2, 3, 4, 3, 1, 4, 0, 4, 0, 2, 4, 0] pubkeycol1449 = [0, 4, 3, 1, 1, 2, 2, 3, 0, 0, 4, 3, 2, 0, 2, 0, 2, 2, 4, 4, 0, 0, 2, 1, 0, 2, 0, 4, 1, 0, 3, 1, 4, 4, 2, 0, 0, 3, 0, 3, 2, 2, 4, 3, 1, 4, 1, 3, 4, 3, 3, 4, 4, 4, 1, 2, 4, 4, 0, 3, 0, 1, 0, 4, 3, 0, 2, 4, 3, 0, 4, 1, 3, 4, 4, 4, 3, 3, 1, 0, 4, 3, 3, 3, 1, 4, 2, 2, 4, 1, 0, 3, 1, 3, 3, 2, 1, 4, 0, 1, 0, 4, 3, 3, 3, 2, 0, 1, 1, 3, 1, 4, 4, 4, 4, 2, 0, 0, 0, 4, 2, 4, 0, 3, 3, 0, 0, 3, 0, 4, 4, 1, 2, 3, 1, 2, 1, 3, 4, 0, 0, 3, 0, 4, 0, 3, 2, 3, 0, 1, 1, 1, 3, 3, 1, 0, 0, 4, 2, 3, 4, 1, 4, 4, 2, 4, 0, 3, 4, 3, 0, 2, 3, 4, 3, 2, 0, 0, 4, 0, 0, 2, 4, 2, 4, 1, 2, 3, 3, 4, 0, 1, 1, 1, 1, 3, 4, 3, 4, 1, 4, 2, 4, 0, 3, 3, 0, 0, 3, 2, 2, 4, 4, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 3, 2, 3, 3, 3, 0, 2, 3, 2, 0, 4, 4, 4, 2, 2, 3, 1, 3, 3, 4, 4, 3, 3, 3, 2, 1, 3, 4, 1, 1, 1, 0, 0, 4, 0, 1, 3, 3, 4, 2, 2, 0, 1, 1, 0, 2, 1, 4, 4, 2, 0, 2, 3, 1, 4, 1, 3, 4, 1, 4, 3, 2, 2, 3, 2, 3, 4, 4, 0, 0, 1, 3, 2, 2, 2, 1, 3, 4, 3, 2, 0, 3, 3, 0, 3, 2, 3, 3, 2, 3, 2, 1, 3, 0, 3, 4, 0, 4, 1, 2, 4, 2, 3, 4, 3, 4, 4, 0, 3, 4, 4, 1, 3, 2, 3, 0, 2, 0, 2, 1, 0, 2, 1, 4, 4, 4, 2, 1, 0, 1, 0, 1, 4, 0, 1, 4, 3, 3, 4, 2, 3, 0, 1, 4, 4, 4, 4, 2, 1, 2, 0, 4, 4, 4, 2, 3, 1, 3, 4, 2, 4, 0, 0, 0, 3, 2, 1, 1, 3, 2, 0, 2, 4, 0, 1, 1] pubkeycol1450 = [2, 0, 3, 3, 1, 3, 4, 1, 4, 1, 2, 3, 1, 3, 1, 0, 4, 3, 2, 3, 1, 2, 1, 1, 4, 2, 1, 0, 3, 2, 0, 0, 4, 3, 2, 4, 2, 4, 1, 0, 0, 0, 4, 1, 2, 4, 4, 0, 3, 1, 0, 1, 4, 1, 4, 1, 2, 3, 4, 1, 0, 1, 3, 3, 3, 4, 1, 3, 2, 2, 1, 0, 1, 1, 2, 3, 4, 3, 2, 1, 2, 0, 0, 1, 0, 4, 4, 1, 4, 1, 0, 2, 1, 0, 4, 0, 3, 0, 3, 4, 4, 4, 4, 4, 1, 0, 3, 1, 1, 0, 1, 2, 2, 3, 2, 0, 0, 1, 0, 0, 1, 3, 3, 1, 2, 1, 4, 4, 4, 1, 3, 3, 1, 2, 3, 0, 2, 1, 4, 1, 3, 4, 4, 1, 4, 4, 2, 0, 3, 1, 0, 1, 0, 3, 1, 4, 4, 4, 2, 4, 2, 1, 3, 3, 0, 4, 0, 0, 3, 1, 4, 2, 0, 2, 4, 1, 1, 1, 0, 4, 3, 1, 2, 1, 2, 4, 0, 1, 3, 2, 2, 1, 4, 0, 3, 3, 4, 2, 1, 4, 0, 2, 2, 4, 0, 0, 2, 0, 1, 2, 4, 1, 4, 3, 4, 4, 3, 3, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 3, 2, 0, 3, 1, 0, 0, 4, 3, 0, 4, 0, 0, 3, 4, 1, 3, 4, 2, 4, 4, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 3, 4, 1, 0, 1, 2, 1, 2, 0, 4, 0, 1, 3, 3, 4, 3, 2, 3, 0, 0, 1, 2, 3, 0, 0, 4, 1, 1, 3, 1, 1, 4, 3, 1, 4, 0, 3, 1, 4, 4, 2, 2, 0, 2, 1, 4, 4, 3, 4, 3, 0, 4, 2, 1, 4, 4, 1, 4, 0, 2, 1, 4, 4, 0, 1, 1, 0, 4, 0, 2, 1, 3, 2, 4, 4, 1, 0, 3, 2, 3, 3, 3, 4, 1, 3, 3, 0, 4, 1, 1, 1, 1, 4, 3, 0, 4, 1, 3, 0, 2, 3, 2, 1, 3, 1, 0, 3, 0, 2, 4, 4, 4, 4, 4, 2, 2, 4, 3, 2, 3, 3, 0, 1, 0, 2, 0, 4, 1, 3, 2, 1, 0, 1, 2, 2, 0, 3, 1, 4, 4] pubkeycol1451 = [4, 0, 4, 3, 2, 1, 3, 1, 0, 3, 4, 3, 0, 2, 0, 3, 2, 4, 0, 2, 4, 2, 1, 1, 0, 2, 1, 3, 0, 3, 0, 0, 4, 4, 0, 4, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 4, 3, 1, 4, 1, 4, 2, 0, 0, 4, 0, 1, 0, 2, 1, 1, 0, 2, 0, 3, 4, 3, 3, 0, 2, 2, 2, 4, 1, 0, 3, 2, 1, 1, 3, 3, 1, 0, 2, 3, 0, 0, 4, 3, 1, 1, 2, 0, 3, 1, 4, 0, 0, 0, 1, 1, 0, 3, 2, 3, 1, 4, 4, 2, 0, 0, 3, 0, 3, 0, 1, 4, 0, 0, 3, 0, 2, 0, 3, 0, 0, 0, 2, 2, 4, 1, 4, 0, 2, 4, 1, 4, 4, 3, 4, 2, 2, 3, 2, 3, 2, 3, 3, 0, 4, 1, 1, 4, 4, 0, 0, 1, 3, 2, 4, 0, 0, 3, 0, 0, 3, 4, 4, 0, 2, 0, 2, 2, 3, 4, 0, 3, 3, 4, 1, 1, 2, 2, 4, 2, 1, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 2, 4, 4, 0, 4, 2, 0, 0, 4, 0, 1, 3, 0, 2, 3, 0, 3, 1, 3, 1, 1, 4, 2, 1, 3, 0, 1, 2, 1, 2, 0, 0, 3, 4, 1, 3, 1, 1, 2, 3, 3, 2, 4, 3, 0, 2, 1, 4, 1, 3, 1, 3, 3, 2, 3, 0, 1, 1, 4, 0, 1, 1, 3, 1, 4, 1, 3, 4, 4, 4, 3, 1, 2, 1, 0, 1, 0, 2, 4, 1, 4, 0, 2, 4, 0, 4, 3, 2, 0, 2, 2, 1, 4, 4, 4, 2, 3, 4, 0, 3, 4, 2, 4, 3, 1, 4, 0, 2, 2, 3, 3, 1, 3, 3, 2, 0, 4, 2, 4, 2, 2, 2, 1, 1, 0, 0, 4, 2, 2, 0, 3, 4, 4, 0, 4, 3, 0, 2, 0, 0, 4, 2, 4, 3, 1, 1, 0, 2, 0, 0, 4, 1, 3, 2, 0, 4, 4, 2, 0, 3, 0, 0, 3, 4, 4, 3, 0, 4, 1, 4, 2, 2, 3, 3, 4, 3, 2, 2, 2, 4, 1, 3, 1, 4, 1, 2, 4, 3, 1, 3, 1, 2, 4, 2, 4, 2, 0, 0, 3, 2, 3, 2, 0] pubkeycol1452 = [0, 3, 2, 2, 2, 4, 3, 2, 4, 1, 0, 0, 2, 1, 3, 2, 4, 4, 1, 2, 4, 1, 4, 1, 3, 4, 0, 0, 1, 0, 0, 2, 0, 4, 0, 1, 0, 0, 0, 3, 2, 3, 1, 4, 1, 3, 4, 1, 1, 2, 4, 4, 2, 2, 0, 3, 4, 4, 2, 3, 1, 1, 1, 4, 4, 1, 1, 0, 4, 1, 3, 3, 2, 0, 1, 2, 3, 1, 2, 4, 4, 3, 3, 3, 3, 4, 0, 4, 1, 1, 1, 1, 3, 3, 0, 0, 3, 4, 4, 3, 2, 3, 0, 0, 4, 0, 4, 0, 4, 2, 2, 4, 2, 3, 4, 3, 0, 4, 0, 2, 0, 2, 0, 1, 3, 3, 3, 3, 3, 3, 3, 1, 4, 0, 4, 0, 1, 4, 1, 3, 4, 2, 4, 3, 0, 1, 0, 3, 0, 3, 2, 3, 1, 0, 0, 3, 1, 3, 2, 1, 0, 2, 2, 4, 4, 1, 2, 4, 0, 2, 1, 1, 0, 1, 2, 3, 4, 1, 4, 3, 0, 1, 3, 4, 4, 2, 3, 1, 4, 4, 2, 2, 4, 3, 3, 2, 3, 0, 3, 1, 3, 1, 1, 4, 4, 2, 1, 4, 1, 2, 4, 0, 2, 2, 3, 1, 1, 4, 1, 0, 2, 0, 2, 1, 3, 1, 1, 2, 4, 3, 4, 0, 4, 2, 1, 1, 3, 1, 2, 1, 0, 4, 2, 2, 1, 4, 3, 0, 1, 4, 0, 4, 0, 0, 3, 2, 3, 4, 2, 0, 3, 4, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 2, 0, 1, 4, 0, 3, 2, 2, 4, 0, 3, 3, 1, 3, 1, 3, 0, 2, 1, 4, 2, 3, 4, 2, 0, 3, 1, 2, 1, 2, 1, 2, 4, 4, 2, 3, 1, 0, 0, 4, 0, 3, 0, 2, 0, 2, 4, 0, 0, 2, 4, 4, 3, 4, 1, 3, 0, 1, 3, 4, 1, 0, 0, 3, 1, 0, 0, 1, 4, 1, 1, 1, 1, 1, 1, 3, 0, 4, 3, 4, 4, 0, 1, 1, 4, 2, 2, 0, 4, 1, 3, 1, 2, 1, 3, 4, 4, 3, 4, 1, 0, 4, 0, 4, 1, 0, 2, 2, 2, 2, 4, 3, 3, 3, 0, 4, 0, 4, 4, 2, 0, 3, 0, 4, 2, 2, 4, 4] pubkeycol1453 = [1, 1, 4, 0, 4, 2, 4, 3, 3, 3, 2, 2, 3, 1, 2, 4, 2, 4, 0, 2, 3, 4, 3, 3, 0, 0, 0, 1, 3, 2, 3, 4, 2, 1, 4, 0, 4, 2, 2, 0, 3, 0, 3, 4, 0, 0, 0, 4, 3, 4, 0, 1, 2, 1, 3, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 4, 0, 0, 2, 2, 2, 4, 1, 0, 4, 2, 3, 3, 1, 0, 2, 2, 4, 1, 1, 1, 1, 3, 0, 4, 2, 1, 4, 1, 1, 2, 3, 3, 2, 3, 1, 1, 2, 4, 0, 2, 3, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 4, 4, 0, 0, 3, 0, 1, 0, 3, 1, 1, 2, 4, 3, 4, 2, 0, 0, 0, 0, 2, 4, 2, 1, 4, 4, 2, 0, 0, 3, 0, 2, 3, 1, 2, 3, 1, 3, 4, 1, 0, 3, 3, 4, 0, 2, 4, 0, 1, 4, 1, 1, 4, 0, 4, 3, 1, 1, 2, 4, 2, 4, 4, 1, 3, 3, 0, 3, 1, 2, 4, 3, 2, 4, 3, 1, 0, 0, 0, 4, 4, 0, 2, 0, 1, 2, 0, 3, 2, 3, 3, 0, 0, 0, 4, 1, 4, 4, 1, 4, 1, 2, 2, 3, 4, 1, 1, 1, 2, 4, 4, 0, 3, 2, 2, 3, 0, 3, 3, 3, 0, 4, 4, 4, 2, 3, 2, 0, 3, 2, 0, 3, 3, 1, 3, 3, 2, 4, 1, 3, 0, 1, 4, 0, 0, 3, 4, 3, 1, 3, 4, 1, 2, 3, 4, 1, 1, 4, 0, 0, 2, 2, 3, 1, 4, 1, 1, 2, 3, 1, 0, 3, 2, 0, 1, 2, 3, 0, 2, 3, 1, 3, 4, 1, 3, 4, 3, 3, 2, 3, 3, 2, 0, 3, 1, 4, 3, 0, 1, 4, 2, 0, 2, 4, 0, 0, 4, 2, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 0, 4, 1, 0, 2, 1, 2, 2, 1, 3, 1, 1, 3, 0, 3, 0, 4, 0, 3, 4, 0, 4, 3, 3, 1, 0, 3, 4, 2, 4, 4, 3, 3, 0, 4, 1, 2, 3, 4, 3, 3, 2, 0, 0, 3, 0, 0, 3, 0, 0, 1, 0, 1, 1, 2, 4, 3, 3, 3, 0, 4, 2, 1, 4, 4] pubkeycol1454 = [4, 3, 3, 2, 3, 3, 4, 0, 2, 1, 4, 0, 2, 2, 3, 2, 4, 3, 3, 0, 4, 2, 4, 1, 4, 0, 1, 0, 3, 0, 4, 0, 2, 0, 1, 2, 4, 0, 4, 0, 4, 1, 2, 0, 3, 2, 4, 4, 1, 3, 0, 0, 3, 0, 0, 0, 3, 0, 2, 3, 3, 0, 0, 0, 4, 0, 3, 1, 3, 3, 4, 3, 1, 0, 1, 0, 0, 1, 1, 2, 3, 3, 4, 3, 4, 0, 0, 4, 4, 1, 2, 2, 2, 4, 3, 3, 2, 0, 4, 2, 0, 3, 1, 1, 2, 4, 4, 3, 0, 2, 4, 0, 1, 0, 2, 1, 1, 4, 4, 0, 3, 1, 3, 1, 3, 1, 3, 3, 0, 1, 1, 1, 4, 0, 1, 3, 0, 3, 2, 2, 4, 0, 0, 1, 4, 4, 3, 4, 4, 0, 3, 4, 1, 2, 1, 2, 0, 3, 3, 0, 0, 1, 1, 1, 0, 1, 3, 2, 1, 0, 4, 0, 3, 4, 2, 3, 2, 1, 1, 2, 1, 1, 3, 3, 2, 1, 3, 1, 3, 3, 0, 3, 2, 4, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 2, 4, 4, 4, 0, 3, 2, 4, 3, 0, 0, 4, 4, 0, 4, 3, 2, 4, 4, 0, 2, 2, 4, 1, 0, 1, 4, 4, 1, 4, 2, 1, 3, 1, 3, 0, 4, 1, 1, 3, 0, 1, 4, 1, 3, 3, 4, 3, 1, 1, 2, 4, 3, 1, 3, 4, 1, 2, 4, 4, 4, 1, 2, 1, 0, 1, 2, 2, 0, 0, 4, 2, 4, 3, 2, 3, 3, 1, 1, 3, 1, 1, 4, 1, 4, 0, 1, 1, 0, 1, 3, 4, 1, 0, 4, 1, 4, 3, 2, 0, 4, 3, 1, 2, 3, 4, 1, 0, 0, 2, 2, 4, 0, 0, 4, 2, 1, 0, 2, 3, 0, 3, 2, 1, 2, 4, 2, 3, 4, 1, 4, 2, 3, 4, 2, 2, 3, 1, 4, 0, 3, 3, 3, 2, 3, 0, 0, 3, 1, 4, 3, 0, 1, 2, 4, 3, 0, 0, 2, 4, 0, 0, 0, 3, 2, 3, 1, 1, 0, 1, 4, 1, 0, 2, 3, 0, 0, 3, 3, 0, 1, 1, 1, 4, 2, 0, 4, 3, 0, 3, 3, 4, 3, 0, 1] pubkeycol1455 = [1, 3, 4, 2, 1, 3, 0, 0, 1, 3, 4, 1, 1, 0, 2, 4, 4, 4, 3, 1, 2, 0, 0, 4, 4, 3, 2, 4, 2, 1, 0, 4, 3, 1, 0, 4, 0, 2, 2, 0, 0, 4, 4, 0, 1, 2, 2, 3, 2, 2, 1, 4, 1, 4, 1, 2, 3, 4, 2, 2, 0, 3, 1, 4, 2, 3, 1, 1, 4, 2, 1, 4, 3, 4, 2, 4, 2, 3, 2, 3, 2, 1, 1, 0, 0, 4, 3, 3, 0, 4, 3, 0, 1, 4, 3, 1, 2, 0, 0, 4, 1, 2, 3, 3, 1, 3, 3, 3, 2, 3, 2, 2, 4, 3, 1, 1, 0, 1, 3, 0, 3, 2, 0, 0, 1, 3, 3, 4, 0, 0, 0, 4, 4, 4, 0, 2, 1, 3, 3, 2, 1, 2, 1, 2, 4, 1, 0, 2, 3, 2, 2, 4, 4, 0, 1, 3, 3, 0, 0, 2, 3, 0, 1, 2, 2, 3, 3, 0, 4, 3, 2, 2, 1, 2, 0, 0, 2, 3, 0, 0, 4, 0, 3, 4, 1, 4, 0, 3, 0, 2, 4, 1, 2, 4, 1, 1, 0, 0, 3, 4, 2, 0, 2, 2, 3, 1, 1, 1, 2, 2, 1, 0, 3, 4, 2, 2, 4, 2, 1, 0, 2, 2, 0, 3, 1, 3, 1, 0, 1, 0, 4, 3, 4, 4, 2, 2, 2, 2, 4, 1, 4, 2, 0, 2, 3, 0, 2, 4, 2, 2, 0, 2, 3, 0, 4, 0, 4, 3, 3, 2, 3, 4, 2, 4, 4, 3, 4, 4, 2, 4, 1, 4, 4, 3, 3, 4, 3, 2, 4, 2, 1, 1, 4, 4, 4, 2, 2, 3, 1, 2, 2, 4, 4, 1, 0, 0, 1, 3, 1, 2, 1, 0, 1, 3, 2, 1, 3, 1, 0, 2, 0, 3, 4, 2, 0, 1, 2, 4, 2, 0, 0, 0, 3, 4, 1, 3, 2, 4, 1, 2, 4, 1, 0, 3, 3, 0, 1, 4, 2, 4, 2, 4, 4, 2, 1, 0, 2, 3, 1, 3, 3, 1, 3, 3, 1, 2, 2, 2, 0, 0, 0, 3, 3, 2, 4, 4, 2, 2, 0, 3, 3, 3, 1, 2, 0, 3, 0, 3, 2, 4, 0, 3, 3, 0, 4, 1, 1, 1, 2, 2, 4, 4, 3, 1, 0, 3, 0, 4, 2, 2] pubkeycol1456 = [3, 4, 2, 4, 4, 0, 1, 2, 1, 1, 3, 3, 3, 0, 3, 2, 1, 0, 3, 1, 4, 2, 4, 2, 4, 3, 0, 0, 3, 1, 1, 0, 2, 1, 2, 1, 4, 0, 2, 1, 2, 4, 2, 1, 1, 1, 4, 1, 3, 2, 3, 2, 0, 4, 2, 3, 0, 3, 2, 2, 4, 2, 1, 3, 3, 4, 0, 3, 4, 4, 4, 0, 1, 0, 3, 0, 2, 2, 0, 3, 2, 4, 0, 2, 0, 4, 4, 4, 3, 0, 1, 4, 3, 2, 2, 3, 4, 2, 4, 0, 1, 0, 1, 3, 2, 3, 4, 4, 0, 2, 1, 2, 3, 0, 0, 0, 4, 2, 0, 1, 2, 0, 2, 2, 1, 3, 1, 4, 4, 4, 1, 1, 2, 0, 2, 4, 0, 1, 4, 3, 0, 3, 3, 2, 1, 1, 4, 0, 2, 3, 4, 3, 3, 3, 3, 0, 1, 0, 3, 1, 0, 2, 0, 2, 0, 3, 3, 2, 1, 4, 0, 0, 3, 3, 1, 1, 3, 3, 1, 3, 3, 1, 3, 2, 1, 4, 2, 2, 3, 2, 3, 4, 0, 3, 1, 4, 0, 3, 3, 3, 4, 0, 1, 4, 2, 1, 0, 3, 3, 3, 1, 4, 0, 2, 0, 3, 3, 0, 0, 2, 4, 4, 2, 1, 2, 4, 1, 2, 0, 0, 1, 4, 2, 0, 0, 1, 3, 1, 2, 2, 2, 2, 2, 2, 0, 3, 4, 0, 3, 1, 4, 4, 1, 4, 0, 3, 3, 1, 4, 0, 2, 4, 1, 2, 1, 3, 2, 4, 1, 0, 3, 3, 2, 0, 1, 2, 4, 4, 0, 0, 0, 3, 4, 0, 0, 4, 1, 0, 4, 3, 3, 4, 4, 1, 0, 1, 4, 4, 4, 0, 3, 3, 4, 2, 0, 1, 4, 2, 3, 4, 4, 0, 2, 1, 2, 0, 0, 4, 2, 0, 2, 0, 1, 2, 2, 1, 4, 0, 1, 3, 3, 2, 4, 0, 1, 3, 3, 3, 0, 2, 0, 2, 1, 0, 4, 3, 3, 2, 3, 3, 0, 2, 0, 3, 3, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 3, 0, 1, 4, 2, 4, 2, 2, 4, 2, 3, 4, 4, 2, 2, 4, 3, 0, 1, 1, 2, 0, 3, 1, 0, 2, 3, 0, 2, 3, 2, 3, 0] pubkeycol1457 = [1, 4, 4, 1, 3, 3, 3, 4, 2, 1, 0, 3, 4, 1, 2, 4, 3, 4, 3, 2, 4, 4, 1, 3, 1, 3, 4, 0, 1, 3, 4, 4, 3, 3, 3, 0, 1, 2, 0, 1, 3, 4, 3, 2, 4, 1, 4, 4, 1, 0, 2, 0, 1, 4, 1, 0, 2, 0, 3, 0, 3, 1, 4, 1, 1, 1, 2, 4, 0, 2, 4, 2, 3, 1, 2, 1, 3, 1, 3, 0, 4, 0, 4, 0, 4, 2, 4, 0, 0, 3, 0, 4, 3, 1, 3, 0, 0, 0, 1, 3, 2, 3, 3, 1, 4, 2, 3, 3, 4, 1, 3, 2, 4, 0, 4, 4, 4, 4, 1, 2, 0, 0, 0, 2, 4, 0, 0, 4, 4, 4, 3, 3, 4, 2, 2, 2, 4, 2, 0, 0, 3, 1, 1, 3, 2, 0, 2, 1, 0, 2, 0, 0, 2, 4, 0, 2, 3, 0, 4, 4, 2, 0, 1, 4, 4, 2, 4, 2, 4, 0, 4, 4, 1, 2, 1, 1, 0, 1, 2, 2, 1, 4, 2, 3, 4, 1, 1, 3, 2, 2, 3, 4, 3, 1, 2, 1, 4, 2, 0, 3, 1, 2, 3, 3, 4, 2, 2, 4, 4, 4, 4, 1, 3, 3, 1, 3, 2, 0, 1, 3, 4, 2, 2, 4, 0, 2, 2, 3, 0, 2, 3, 1, 4, 3, 4, 3, 0, 3, 4, 0, 3, 3, 3, 2, 4, 1, 0, 0, 3, 0, 4, 1, 0, 1, 1, 0, 2, 3, 1, 2, 2, 4, 3, 2, 3, 3, 2, 0, 3, 2, 2, 4, 1, 4, 0, 0, 3, 1, 4, 2, 1, 3, 4, 3, 3, 4, 4, 3, 3, 3, 1, 0, 4, 3, 2, 2, 0, 1, 2, 3, 4, 0, 3, 1, 4, 3, 1, 4, 4, 4, 2, 0, 3, 0, 0, 1, 1, 3, 1, 2, 1, 0, 1, 1, 0, 2, 3, 3, 4, 2, 3, 2, 3, 2, 4, 3, 2, 2, 1, 2, 3, 0, 1, 3, 0, 3, 3, 0, 4, 2, 3, 2, 0, 0, 2, 1, 3, 3, 2, 0, 3, 4, 3, 0, 1, 2, 0, 0, 0, 0, 1, 2, 3, 0, 4, 1, 3, 4, 4, 2, 0, 2, 1, 3, 1, 3, 4, 0, 3, 2, 4, 4, 1, 0, 4, 0, 4, 0, 2, 0] pubkeycol1458 = [0, 0, 4, 2, 1, 4, 3, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 2, 1, 1, 0, 4, 3, 2, 1, 3, 2, 1, 2, 4, 3, 0, 3, 3, 2, 2, 4, 3, 2, 0, 1, 1, 3, 3, 0, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 1, 4, 1, 0, 1, 2, 4, 0, 4, 0, 2, 3, 4, 3, 3, 4, 3, 2, 4, 4, 4, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 3, 1, 0, 2, 1, 2, 4, 1, 3, 1, 3, 4, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 3, 2, 1, 4, 3, 1, 2, 3, 1, 0, 2, 4, 0, 4, 1, 2, 0, 3, 2, 0, 1, 2, 1, 1, 4, 3, 4, 3, 4, 0, 1, 0, 1, 3, 2, 0, 0, 0, 0, 0, 1, 0, 3, 3, 2, 3, 4, 4, 1, 1, 2, 4, 1, 1, 2, 3, 3, 4, 2, 4, 1, 3, 4, 0, 1, 0, 2, 4, 3, 1, 2, 3, 4, 2, 1, 2, 2, 0, 4, 3, 3, 1, 1, 0, 3, 0, 1, 1, 4, 4, 0, 0, 2, 4, 1, 4, 0, 2, 1, 1, 1, 3, 2, 3, 3, 0, 0, 4, 4, 3, 4, 0, 2, 4, 2, 0, 3, 4, 2, 1, 1, 3, 1, 2, 3, 1, 0, 2, 1, 0, 3, 3, 0, 2, 0, 3, 3, 4, 3, 0, 1, 4, 1, 3, 0, 0, 4, 3, 3, 3, 0, 3, 4, 3, 4, 2, 4, 1, 3, 1, 3, 2, 1, 1, 2, 1, 1, 0, 3, 3, 4, 1, 0, 0, 1, 1, 4, 2, 2, 2, 4, 0, 4, 0, 0, 0, 0, 0, 1, 0, 2, 1, 3, 0, 4, 1, 4, 3, 2, 3, 4, 4, 0, 3, 3, 4, 4, 3, 4, 0, 1, 3, 4, 2, 4, 3, 1, 2, 0, 1, 4, 1, 1, 4, 3, 3, 1, 3, 4, 0, 3, 0, 3, 3, 0, 0, 0, 1, 1, 0, 0, 4, 3, 3, 2, 4, 4, 4, 1, 1, 4, 4, 2, 1, 4, 3, 1, 4, 3, 4, 3, 3, 1, 2, 3, 4, 0, 1, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 4, 3, 1, 4, 0, 4, 4, 1, 2, 0] pubkeycol1459 = [2, 2, 2, 1, 2, 2, 4, 2, 2, 2, 0, 3, 4, 2, 2, 3, 1, 1, 4, 1, 3, 2, 1, 2, 0, 3, 1, 4, 4, 0, 2, 2, 3, 0, 2, 3, 1, 4, 1, 1, 4, 2, 1, 4, 2, 2, 0, 0, 4, 3, 1, 4, 4, 0, 4, 4, 3, 3, 4, 4, 2, 2, 4, 0, 4, 1, 3, 0, 1, 1, 1, 0, 1, 1, 2, 4, 0, 3, 1, 3, 3, 0, 2, 0, 3, 4, 3, 0, 1, 2, 4, 1, 1, 3, 4, 2, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 1, 0, 4, 1, 0, 1, 1, 2, 1, 3, 2, 2, 0, 0, 0, 0, 4, 4, 3, 4, 2, 2, 3, 0, 1, 3, 2, 1, 3, 4, 3, 0, 0, 0, 0, 1, 1, 0, 4, 0, 2, 1, 2, 3, 2, 2, 3, 3, 0, 4, 3, 0, 4, 4, 2, 1, 1, 4, 4, 3, 3, 4, 0, 4, 1, 2, 0, 3, 4, 3, 0, 4, 4, 3, 4, 3, 3, 3, 0, 0, 2, 0, 4, 4, 0, 0, 1, 2, 3, 4, 1, 2, 4, 1, 1, 2, 3, 2, 3, 0, 0, 0, 1, 4, 1, 2, 3, 3, 1, 4, 0, 1, 2, 4, 0, 3, 2, 4, 1, 3, 1, 0, 2, 2, 0, 4, 3, 4, 0, 3, 4, 2, 3, 3, 2, 0, 3, 1, 3, 2, 1, 0, 3, 0, 1, 3, 1, 3, 3, 2, 4, 2, 4, 2, 0, 3, 4, 3, 4, 1, 2, 4, 2, 0, 3, 2, 4, 3, 0, 2, 0, 3, 1, 0, 1, 2, 1, 3, 2, 0, 2, 2, 1, 3, 3, 2, 0, 0, 3, 3, 0, 3, 3, 1, 3, 2, 2, 4, 1, 1, 1, 4, 1, 4, 3, 0, 2, 0, 2, 1, 3, 4, 2, 1, 3, 0, 3, 1, 4, 0, 1, 2, 0, 3, 4, 3, 3, 1, 2, 3, 2, 1, 4, 0, 3, 3, 1, 1, 4, 0, 1, 3, 4, 4, 1, 0, 2, 2, 1, 3, 3, 1, 0, 4, 2, 0, 3, 3, 3, 2, 3, 4, 0, 0, 4, 4, 2, 3, 3, 0, 2, 3, 2, 2, 3, 1, 1, 3, 2, 4, 2, 4, 0, 0, 1, 1, 0, 2, 3, 4, 4, 4, 4] pubkeycol1460 = [4, 1, 2, 2, 1, 3, 2, 2, 0, 0, 4, 4, 1, 4, 0, 1, 2, 1, 0, 1, 3, 2, 4, 2, 4, 3, 3, 3, 3, 0, 2, 2, 3, 2, 3, 1, 0, 1, 0, 1, 3, 2, 2, 3, 0, 3, 2, 3, 4, 1, 4, 3, 0, 1, 0, 3, 1, 4, 0, 2, 3, 4, 4, 2, 2, 2, 4, 3, 3, 4, 3, 0, 0, 4, 1, 4, 2, 4, 1, 2, 4, 4, 3, 1, 0, 4, 1, 3, 2, 1, 1, 2, 4, 0, 2, 4, 2, 1, 3, 4, 1, 4, 1, 0, 1, 0, 2, 4, 1, 2, 2, 4, 4, 3, 0, 2, 3, 3, 1, 0, 2, 0, 3, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 4, 4, 0, 2, 4, 2, 1, 3, 1, 2, 0, 1, 3, 3, 2, 4, 1, 4, 4, 1, 3, 4, 2, 1, 1, 1, 3, 3, 3, 0, 0, 1, 2, 4, 4, 0, 4, 1, 0, 2, 3, 2, 3, 0, 2, 3, 2, 1, 2, 0, 0, 4, 2, 2, 1, 3, 3, 1, 3, 2, 2, 1, 3, 3, 4, 4, 2, 3, 4, 2, 0, 0, 2, 2, 3, 3, 2, 4, 1, 2, 1, 0, 3, 3, 2, 4, 1, 4, 4, 1, 2, 4, 3, 2, 1, 0, 4, 4, 2, 1, 3, 0, 3, 0, 2, 4, 4, 0, 0, 3, 2, 1, 0, 0, 3, 4, 4, 3, 0, 3, 0, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 3, 2, 3, 1, 0, 2, 2, 4, 0, 3, 4, 3, 1, 3, 3, 2, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 3, 1, 1, 0, 0, 3, 0, 3, 4, 1, 1, 0, 4, 1, 2, 2, 1, 0, 2, 3, 3, 0, 3, 1, 2, 4, 0, 1, 1, 3, 3, 0, 4, 3, 0, 2, 2, 0, 4, 0, 2, 4, 4, 1, 3, 0, 0, 2, 1, 1, 2, 0, 4, 0, 2, 3, 2, 3, 2, 2, 1, 3, 3, 4, 0, 0, 1, 0, 3, 3, 0, 4, 3, 2, 0, 3, 3, 0, 1, 1, 0, 3, 4, 0, 4, 2, 4, 2, 2, 2, 3, 3, 4, 1, 1, 3, 1, 3, 4, 3, 0, 0, 1, 3, 1, 0, 2, 2, 3] pubkeycol1461 = [0, 0, 3, 4, 0, 2, 0, 2, 1, 4, 0, 3, 2, 3, 2, 4, 2, 4, 2, 0, 0, 0, 4, 3, 0, 1, 1, 1, 2, 4, 2, 1, 2, 0, 4, 3, 3, 0, 0, 2, 0, 0, 4, 0, 1, 4, 4, 0, 3, 4, 3, 0, 1, 3, 3, 2, 4, 3, 4, 1, 1, 0, 4, 2, 2, 1, 0, 2, 3, 3, 4, 3, 3, 0, 3, 2, 1, 2, 4, 3, 4, 3, 0, 1, 1, 3, 1, 4, 3, 4, 3, 4, 1, 0, 1, 4, 4, 1, 2, 2, 4, 4, 2, 4, 1, 3, 1, 4, 1, 0, 3, 3, 2, 1, 4, 0, 0, 4, 0, 3, 0, 2, 2, 1, 0, 3, 1, 4, 1, 4, 4, 1, 4, 1, 2, 0, 0, 0, 1, 2, 3, 4, 4, 1, 3, 1, 4, 0, 0, 3, 2, 4, 1, 2, 4, 3, 4, 4, 2, 4, 3, 3, 3, 0, 2, 4, 0, 3, 4, 1, 2, 4, 3, 3, 1, 0, 3, 2, 1, 4, 2, 3, 3, 4, 3, 1, 4, 2, 2, 4, 2, 3, 2, 3, 2, 2, 2, 1, 1, 4, 2, 4, 4, 4, 4, 3, 4, 3, 0, 3, 2, 4, 2, 1, 3, 1, 0, 1, 1, 1, 3, 0, 0, 1, 3, 3, 2, 4, 0, 0, 1, 3, 0, 2, 4, 0, 3, 1, 2, 2, 3, 3, 1, 1, 3, 1, 3, 4, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 0, 3, 3, 4, 1, 0, 2, 1, 1, 3, 2, 2, 3, 1, 0, 1, 0, 2, 3, 4, 3, 2, 2, 2, 3, 3, 1, 3, 4, 4, 0, 3, 3, 4, 0, 2, 3, 4, 0, 4, 1, 3, 0, 0, 2, 4, 1, 3, 1, 1, 3, 4, 1, 4, 0, 0, 1, 3, 3, 3, 4, 0, 1, 0, 1, 4, 3, 4, 3, 1, 2, 3, 0, 4, 2, 3, 4, 2, 3, 2, 3, 4, 0, 3, 3, 2, 3, 0, 4, 3, 2, 3, 2, 1, 1, 3, 0, 1, 3, 1, 2, 1, 4, 3, 2, 0, 3, 4, 3, 4, 4, 0, 3, 2, 1, 2, 0, 1, 3, 1, 2, 3, 2, 1, 0, 2, 4, 0, 0, 4, 1, 0, 2, 3, 2, 3, 4, 1, 2, 3] pubkeycol1462 = [0, 4, 3, 2, 4, 4, 0, 0, 0, 2, 2, 3, 3, 3, 2, 0, 3, 0, 1, 4, 4, 2, 4, 2, 3, 2, 3, 4, 0, 3, 4, 3, 0, 2, 3, 4, 1, 1, 3, 3, 4, 2, 2, 3, 1, 1, 1, 3, 1, 3, 3, 0, 2, 3, 4, 0, 0, 2, 0, 0, 1, 4, 2, 0, 1, 4, 3, 4, 3, 0, 3, 4, 4, 4, 0, 1, 2, 0, 2, 0, 3, 2, 0, 4, 0, 0, 1, 1, 1, 4, 3, 2, 4, 4, 2, 3, 1, 3, 2, 2, 3, 3, 4, 4, 0, 3, 3, 3, 3, 3, 3, 0, 2, 3, 0, 2, 1, 0, 1, 0, 1, 0, 4, 0, 0, 3, 4, 4, 2, 3, 1, 1, 1, 1, 3, 2, 2, 0, 2, 1, 3, 0, 3, 4, 2, 2, 3, 2, 0, 0, 1, 1, 4, 2, 0, 4, 3, 0, 3, 2, 0, 3, 1, 0, 2, 0, 3, 1, 4, 3, 2, 2, 2, 4, 4, 3, 4, 3, 0, 4, 0, 0, 2, 2, 0, 3, 3, 1, 3, 3, 2, 0, 3, 3, 4, 0, 0, 2, 1, 2, 2, 4, 3, 3, 1, 1, 2, 1, 3, 2, 0, 0, 4, 0, 0, 0, 0, 3, 1, 1, 4, 4, 3, 1, 0, 3, 0, 3, 3, 1, 4, 0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 2, 4, 3, 3, 2, 2, 0, 2, 3, 2, 3, 1, 3, 2, 2, 0, 0, 3, 1, 1, 4, 4, 2, 0, 2, 0, 2, 2, 0, 1, 3, 3, 0, 3, 1, 4, 1, 3, 3, 4, 1, 4, 4, 0, 3, 2, 0, 4, 3, 0, 3, 2, 1, 1, 4, 3, 3, 2, 3, 4, 4, 0, 1, 1, 3, 1, 0, 1, 0, 4, 2, 3, 3, 1, 0, 0, 1, 3, 2, 3, 0, 2, 2, 0, 2, 2, 0, 1, 0, 3, 3, 2, 1, 1, 4, 1, 3, 1, 0, 0, 0, 2, 2, 4, 2, 1, 0, 4, 3, 2, 0, 3, 4, 1, 3, 0, 1, 4, 3, 2, 4, 1, 4, 4, 2, 1, 1, 3, 2, 4, 1, 3, 4, 3, 3, 1, 3, 2, 3, 3, 1, 1, 1, 1, 1, 0, 0, 4, 1, 2, 0, 4, 2, 3, 4, 4, 0, 1, 2] pubkeycol1463 = [1, 3, 1, 4, 2, 3, 0, 1, 4, 3, 0, 2, 4, 0, 4, 2, 1, 1, 0, 0, 2, 0, 2, 2, 4, 3, 2, 2, 4, 2, 3, 3, 0, 4, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 3, 1, 3, 0, 3, 4, 3, 4, 0, 2, 4, 2, 2, 3, 1, 2, 2, 3, 4, 3, 1, 2, 3, 3, 1, 0, 2, 2, 0, 3, 2, 1, 3, 0, 1, 3, 0, 1, 4, 3, 3, 1, 2, 0, 2, 2, 4, 4, 2, 3, 1, 1, 2, 4, 1, 2, 1, 4, 1, 2, 1, 1, 3, 3, 3, 4, 0, 0, 3, 0, 4, 3, 1, 1, 3, 1, 1, 0, 2, 4, 0, 1, 4, 2, 2, 2, 2, 4, 2, 0, 3, 4, 4, 0, 3, 4, 3, 1, 2, 4, 0, 0, 3, 0, 1, 3, 4, 3, 2, 4, 3, 2, 4, 4, 2, 3, 2, 0, 2, 4, 2, 0, 4, 2, 3, 3, 3, 3, 0, 0, 3, 2, 0, 4, 0, 4, 2, 4, 0, 3, 0, 4, 2, 3, 2, 4, 0, 4, 4, 0, 3, 0, 2, 1, 1, 0, 4, 2, 3, 2, 4, 0, 2, 0, 3, 0, 0, 4, 3, 4, 2, 3, 2, 4, 0, 1, 4, 1, 4, 0, 3, 3, 2, 3, 4, 3, 1, 4, 2, 3, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 4, 0, 2, 3, 1, 3, 2, 0, 4, 1, 0, 3, 2, 2, 3, 2, 0, 1, 3, 0, 0, 2, 3, 3, 1, 0, 1, 1, 1, 1, 0, 1, 2, 3, 0, 4, 1, 1, 2, 3, 3, 0, 0, 3, 1, 0, 2, 2, 1, 2, 4, 2, 2, 0, 4, 0, 3, 1, 2, 1, 4, 2, 3, 4, 2, 4, 4, 1, 2, 2, 0, 1, 4, 2, 2, 0, 3, 2, 3, 2, 2, 4, 2, 2, 3, 3, 1, 0, 1, 2, 0, 1, 1, 4, 2, 3, 2, 0, 1, 3, 3, 2, 0, 2, 0, 0, 3, 0, 1, 1, 2, 3, 3, 4, 3, 1, 4, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 3, 0, 4, 2, 1, 1, 1, 3, 3, 1, 2, 0, 1, 3, 3, 1, 2, 2, 1, 2, 4, 4, 1, 4, 2, 4, 4] pubkeycol1464 = [2, 2, 4, 1, 3, 3, 2, 3, 3, 4, 2, 1, 2, 4, 2, 0, 4, 4, 3, 2, 2, 2, 2, 1, 3, 1, 2, 4, 2, 1, 0, 4, 1, 4, 1, 3, 3, 0, 0, 4, 3, 3, 2, 2, 0, 4, 1, 4, 1, 4, 0, 1, 2, 2, 3, 2, 3, 4, 3, 4, 0, 1, 0, 1, 0, 1, 1, 4, 1, 1, 1, 2, 0, 4, 1, 3, 1, 0, 2, 0, 4, 1, 4, 4, 0, 4, 2, 0, 4, 1, 2, 1, 2, 1, 1, 3, 3, 0, 4, 1, 2, 3, 4, 2, 0, 2, 3, 1, 4, 2, 4, 0, 4, 0, 4, 4, 2, 4, 1, 0, 1, 0, 1, 0, 1, 3, 4, 3, 4, 3, 3, 2, 0, 2, 3, 4, 0, 4, 1, 4, 2, 0, 4, 0, 1, 3, 4, 4, 3, 4, 1, 0, 1, 2, 2, 4, 4, 4, 3, 4, 1, 4, 1, 1, 0, 4, 0, 1, 3, 4, 0, 4, 3, 2, 3, 3, 3, 3, 0, 1, 1, 4, 4, 2, 4, 2, 0, 3, 3, 4, 3, 0, 0, 0, 4, 1, 4, 1, 2, 4, 2, 0, 0, 1, 0, 0, 4, 3, 4, 4, 1, 1, 3, 4, 2, 0, 4, 3, 3, 0, 4, 0, 1, 4, 0, 2, 4, 0, 2, 2, 4, 1, 1, 3, 0, 0, 3, 3, 3, 0, 0, 3, 4, 3, 1, 3, 1, 1, 3, 1, 2, 4, 2, 3, 4, 0, 0, 2, 3, 0, 4, 3, 1, 2, 2, 0, 4, 2, 1, 2, 0, 1, 3, 2, 1, 3, 1, 1, 0, 4, 4, 1, 1, 1, 0, 0, 0, 1, 2, 0, 4, 1, 1, 0, 4, 2, 2, 0, 3, 1, 4, 3, 1, 4, 2, 1, 0, 1, 2, 2, 3, 3, 3, 3, 1, 0, 2, 3, 0, 0, 1, 0, 0, 3, 3, 1, 3, 3, 1, 3, 4, 1, 3, 1, 0, 2, 2, 1, 1, 3, 1, 0, 3, 4, 2, 2, 3, 1, 2, 1, 2, 3, 3, 0, 4, 3, 4, 3, 3, 2, 4, 1, 4, 0, 3, 0, 4, 2, 0, 3, 1, 3, 0, 4, 0, 3, 1, 4, 1, 2, 0, 3, 0, 0, 0, 3, 0, 1, 2, 3, 2, 4, 3, 0, 2, 1, 1, 1, 3, 2] pubkeycol1465 = [4, 1, 0, 3, 3, 2, 4, 4, 2, 4, 1, 2, 4, 3, 4, 3, 4, 1, 4, 4, 0, 2, 0, 2, 3, 1, 0, 1, 3, 0, 2, 0, 0, 3, 3, 0, 2, 0, 2, 2, 1, 4, 3, 4, 2, 4, 2, 4, 2, 2, 2, 2, 3, 3, 2, 1, 3, 2, 0, 2, 3, 3, 4, 4, 3, 1, 0, 1, 0, 0, 4, 1, 3, 1, 2, 1, 3, 4, 0, 2, 1, 1, 1, 0, 0, 0, 4, 3, 1, 1, 4, 4, 1, 3, 2, 3, 2, 1, 4, 3, 4, 0, 1, 0, 1, 3, 1, 3, 1, 1, 3, 4, 3, 3, 2, 4, 0, 4, 1, 4, 3, 2, 4, 4, 0, 1, 2, 4, 2, 1, 4, 3, 0, 3, 1, 4, 1, 1, 0, 1, 1, 1, 0, 0, 3, 0, 3, 1, 4, 1, 3, 2, 0, 0, 4, 3, 4, 1, 4, 1, 3, 2, 1, 4, 1, 4, 1, 4, 4, 1, 4, 0, 4, 1, 0, 2, 0, 4, 4, 1, 1, 3, 3, 4, 0, 1, 1, 0, 1, 2, 0, 0, 3, 0, 1, 3, 0, 0, 2, 3, 3, 2, 3, 3, 4, 1, 1, 3, 2, 0, 3, 2, 1, 4, 2, 2, 2, 1, 2, 3, 4, 2, 1, 2, 4, 0, 3, 3, 0, 1, 3, 1, 1, 1, 1, 0, 4, 4, 3, 1, 3, 2, 0, 2, 1, 0, 3, 0, 0, 3, 4, 2, 1, 3, 2, 4, 4, 1, 1, 0, 3, 1, 4, 1, 4, 2, 4, 3, 2, 3, 1, 3, 1, 2, 1, 0, 3, 4, 1, 4, 3, 1, 0, 0, 3, 0, 4, 3, 3, 3, 0, 0, 0, 4, 2, 1, 4, 4, 3, 0, 0, 1, 2, 3, 2, 2, 3, 4, 1, 3, 0, 3, 1, 2, 1, 3, 4, 0, 3, 0, 2, 0, 1, 3, 1, 4, 0, 0, 4, 0, 4, 0, 0, 3, 1, 1, 3, 2, 4, 4, 2, 4, 1, 3, 1, 1, 1, 3, 2, 4, 3, 4, 0, 0, 1, 3, 4, 1, 0, 4, 3, 2, 1, 4, 3, 0, 0, 3, 3, 0, 0, 1, 2, 4, 1, 0, 4, 2, 1, 2, 4, 4, 4, 4, 2, 4, 4, 1, 1, 2, 3, 4, 4, 2, 2, 2, 0, 1, 0, 2] pubkeycol1466 = [0, 3, 3, 2, 4, 3, 1, 2, 4, 2, 2, 0, 0, 0, 0, 2, 3, 1, 3, 2, 0, 1, 0, 3, 0, 0, 4, 4, 4, 3, 3, 4, 1, 0, 0, 3, 1, 2, 0, 0, 2, 3, 2, 2, 2, 0, 2, 3, 4, 4, 3, 1, 0, 2, 4, 3, 4, 3, 1, 2, 0, 4, 4, 3, 0, 2, 0, 1, 4, 0, 1, 0, 4, 3, 3, 0, 3, 2, 3, 0, 3, 0, 4, 1, 3, 4, 0, 0, 4, 1, 1, 2, 1, 2, 3, 3, 4, 4, 4, 4, 2, 0, 4, 2, 4, 0, 3, 0, 0, 4, 0, 4, 1, 4, 0, 1, 1, 2, 2, 3, 3, 0, 3, 1, 4, 1, 1, 4, 2, 0, 1, 2, 2, 0, 3, 2, 4, 4, 4, 2, 1, 0, 3, 1, 1, 0, 4, 1, 0, 0, 2, 4, 2, 3, 3, 1, 1, 0, 2, 4, 0, 4, 4, 0, 0, 0, 1, 3, 1, 0, 3, 4, 1, 1, 1, 0, 1, 0, 1, 3, 1, 4, 4, 1, 4, 1, 2, 0, 0, 0, 3, 0, 3, 2, 2, 0, 0, 1, 4, 3, 1, 4, 4, 0, 1, 0, 0, 3, 0, 2, 0, 0, 2, 2, 3, 4, 3, 0, 4, 1, 0, 1, 3, 1, 0, 0, 1, 1, 0, 3, 3, 2, 0, 4, 3, 0, 1, 0, 2, 1, 3, 4, 0, 1, 1, 2, 0, 0, 2, 0, 1, 4, 0, 1, 2, 4, 2, 4, 4, 2, 0, 2, 2, 0, 1, 4, 2, 3, 4, 2, 3, 1, 4, 4, 2, 4, 2, 1, 4, 1, 4, 2, 2, 0, 3, 0, 3, 1, 2, 2, 3, 3, 2, 1, 1, 4, 1, 1, 0, 1, 3, 2, 3, 3, 4, 3, 1, 4, 1, 4, 1, 1, 2, 3, 4, 2, 1, 2, 0, 4, 2, 3, 3, 1, 0, 0, 2, 4, 1, 0, 4, 4, 3, 2, 4, 0, 2, 3, 3, 0, 1, 1, 0, 3, 1, 0, 2, 2, 4, 4, 1, 0, 3, 0, 0, 4, 1, 0, 2, 0, 3, 4, 2, 3, 3, 2, 4, 1, 1, 1, 4, 3, 1, 1, 0, 1, 0, 4, 4, 3, 0, 0, 2, 2, 1, 3, 3, 2, 3, 2, 1, 4, 0, 4, 0, 3, 0, 0, 2, 3] pubkeycol1467 = [0, 0, 1, 3, 1, 4, 2, 2, 3, 3, 2, 1, 4, 2, 0, 2, 0, 4, 2, 1, 4, 3, 1, 0, 2, 0, 4, 4, 2, 3, 2, 0, 1, 2, 4, 2, 0, 1, 1, 4, 0, 2, 2, 1, 3, 4, 3, 4, 4, 4, 4, 0, 2, 1, 3, 2, 1, 0, 4, 4, 2, 1, 0, 3, 0, 4, 2, 2, 0, 2, 1, 2, 0, 3, 3, 2, 3, 0, 1, 1, 2, 3, 1, 2, 3, 4, 3, 4, 0, 0, 4, 3, 2, 2, 1, 2, 3, 4, 2, 1, 1, 2, 1, 4, 0, 1, 4, 1, 2, 3, 4, 0, 2, 4, 0, 0, 1, 4, 4, 3, 3, 0, 2, 0, 2, 0, 0, 1, 0, 4, 0, 3, 2, 3, 2, 1, 0, 0, 4, 3, 0, 0, 3, 0, 1, 2, 3, 3, 4, 0, 1, 1, 1, 0, 2, 3, 2, 1, 3, 1, 0, 4, 4, 1, 0, 4, 4, 3, 3, 3, 4, 0, 1, 3, 1, 1, 3, 4, 0, 4, 3, 3, 3, 2, 0, 2, 3, 2, 1, 4, 0, 1, 4, 2, 4, 4, 2, 4, 1, 1, 0, 3, 0, 2, 2, 3, 1, 0, 1, 0, 4, 3, 0, 4, 3, 2, 2, 2, 1, 0, 2, 4, 2, 3, 4, 2, 0, 2, 2, 1, 0, 3, 0, 4, 0, 2, 1, 3, 4, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 4, 1, 0, 3, 2, 3, 4, 0, 2, 3, 4, 4, 0, 2, 0, 2, 0, 1, 4, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 4, 3, 0, 2, 1, 4, 0, 2, 1, 1, 4, 1, 1, 4, 1, 3, 2, 0, 1, 0, 3, 2, 0, 1, 3, 1, 0, 3, 4, 0, 2, 1, 3, 1, 2, 2, 3, 2, 0, 4, 4, 2, 3, 2, 0, 3, 4, 4, 0, 4, 3, 3, 0, 4, 2, 0, 3, 3, 4, 1, 4, 2, 1, 3, 3, 2, 0, 2, 2, 0, 1, 4, 0, 4, 1, 0, 2, 3, 4, 2, 0, 0, 2, 2, 3, 3, 2, 2, 4, 1, 0, 0, 0, 3, 1, 3, 4, 3, 1, 1, 0, 4, 3, 0, 2, 4, 4, 4, 3, 1, 1, 4, 1, 1, 3, 4, 4, 0, 4, 2, 4, 4] pubkeycol1468 = [3, 3, 1, 0, 0, 4, 0, 1, 1, 1, 0, 0, 4, 1, 4, 4, 3, 4, 1, 3, 2, 3, 1, 2, 1, 2, 1, 3, 0, 2, 0, 0, 4, 3, 1, 2, 1, 2, 3, 2, 4, 0, 3, 1, 4, 2, 4, 4, 4, 4, 3, 2, 0, 2, 3, 0, 3, 4, 1, 4, 0, 2, 2, 0, 3, 2, 4, 2, 3, 1, 1, 4, 1, 4, 3, 4, 3, 4, 1, 1, 0, 2, 2, 0, 4, 3, 2, 3, 3, 4, 0, 2, 4, 0, 4, 3, 4, 3, 2, 3, 4, 2, 2, 4, 1, 0, 1, 3, 3, 0, 2, 4, 3, 3, 2, 3, 0, 2, 1, 1, 4, 4, 0, 2, 2, 0, 2, 3, 0, 0, 4, 0, 1, 0, 3, 4, 1, 3, 0, 4, 4, 3, 2, 1, 1, 1, 0, 3, 1, 3, 4, 3, 1, 4, 2, 1, 4, 4, 3, 0, 4, 0, 0, 0, 3, 2, 4, 0, 2, 0, 4, 0, 0, 3, 2, 1, 1, 1, 3, 3, 4, 1, 4, 4, 4, 3, 3, 2, 0, 1, 1, 0, 2, 1, 1, 2, 4, 1, 1, 4, 0, 1, 2, 1, 2, 0, 4, 3, 0, 3, 3, 4, 2, 4, 3, 0, 4, 2, 3, 4, 3, 1, 2, 2, 3, 1, 2, 0, 4, 0, 1, 2, 0, 3, 4, 1, 2, 3, 1, 4, 0, 4, 2, 0, 1, 3, 4, 2, 3, 2, 1, 4, 2, 1, 1, 1, 0, 4, 4, 0, 0, 2, 2, 1, 0, 4, 2, 0, 4, 2, 2, 2, 2, 0, 0, 3, 1, 0, 2, 1, 1, 4, 4, 0, 3, 3, 3, 1, 4, 2, 4, 0, 2, 1, 3, 1, 2, 3, 4, 3, 2, 1, 1, 3, 3, 0, 1, 3, 2, 4, 2, 2, 4, 4, 4, 3, 1, 3, 0, 1, 3, 1, 1, 3, 4, 1, 3, 3, 1, 0, 4, 1, 0, 0, 3, 0, 4, 2, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 2, 3, 2, 2, 3, 3, 2, 1, 0, 3, 0, 4, 3, 2, 2, 4, 4, 2, 2, 3, 1, 4, 3, 4, 1, 1, 4, 3, 1, 0, 1, 4, 4, 4, 1, 0, 4, 0, 4, 3, 0, 3, 0, 1, 3, 1, 3, 0, 4, 2, 0, 3] pubkeycol1469 = [0, 4, 0, 1, 1, 3, 2, 2, 4, 2, 2, 1, 4, 2, 2, 3, 3, 4, 2, 2, 4, 1, 3, 4, 0, 3, 1, 2, 3, 0, 2, 3, 3, 1, 2, 2, 3, 3, 1, 4, 0, 4, 4, 0, 1, 3, 0, 0, 1, 0, 1, 1, 3, 4, 2, 2, 0, 2, 0, 2, 4, 3, 0, 4, 1, 3, 3, 2, 2, 1, 1, 2, 4, 3, 3, 0, 1, 1, 4, 0, 4, 0, 1, 3, 1, 3, 1, 1, 4, 3, 2, 2, 0, 0, 4, 4, 1, 4, 2, 1, 0, 2, 4, 4, 0, 2, 3, 3, 1, 4, 2, 0, 1, 3, 3, 2, 4, 4, 3, 0, 0, 2, 4, 4, 3, 0, 0, 1, 0, 2, 2, 1, 4, 4, 2, 1, 2, 0, 3, 4, 3, 0, 0, 1, 2, 3, 0, 2, 1, 2, 4, 4, 3, 1, 2, 4, 1, 4, 2, 4, 4, 0, 4, 4, 4, 1, 2, 0, 3, 3, 1, 4, 4, 0, 2, 4, 0, 4, 2, 0, 1, 3, 2, 4, 0, 0, 3, 1, 3, 4, 1, 4, 1, 4, 2, 3, 0, 4, 0, 3, 1, 0, 2, 2, 3, 1, 4, 0, 0, 3, 1, 2, 1, 4, 3, 0, 1, 0, 3, 3, 4, 3, 3, 1, 4, 2, 1, 4, 3, 2, 1, 4, 0, 2, 1, 3, 2, 3, 0, 1, 1, 3, 4, 2, 3, 2, 3, 4, 4, 0, 1, 3, 0, 0, 3, 1, 1, 4, 4, 4, 0, 0, 4, 2, 4, 1, 2, 2, 4, 4, 4, 4, 2, 3, 3, 4, 3, 2, 0, 4, 1, 3, 2, 1, 0, 2, 4, 3, 2, 2, 0, 2, 3, 2, 0, 4, 1, 0, 3, 0, 4, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 3, 1, 2, 0, 3, 0, 4, 4, 3, 4, 2, 4, 1, 3, 4, 1, 0, 1, 2, 1, 3, 0, 3, 4, 2, 0, 1, 2, 3, 4, 0, 4, 0, 2, 2, 0, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 2, 4, 3, 1, 3, 3, 0, 4, 1, 3, 4, 2, 4, 1, 4, 0, 0, 3, 4, 3, 0, 1, 4, 0, 3, 1, 0, 2, 0, 1, 4, 2, 4, 2, 3, 3, 4, 2, 3, 1, 0, 2, 3] pubkeycol1470 = [0, 3, 0, 0, 1, 4, 2, 0, 1, 4, 3, 0, 1, 1, 1, 0, 4, 4, 2, 1, 4, 4, 3, 4, 4, 1, 1, 3, 3, 2, 3, 4, 3, 1, 2, 0, 1, 3, 0, 2, 2, 3, 4, 0, 0, 2, 3, 0, 0, 4, 1, 3, 3, 0, 1, 1, 4, 0, 1, 0, 4, 1, 4, 2, 1, 3, 3, 4, 3, 0, 0, 1, 3, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 4, 4, 3, 3, 2, 2, 1, 0, 4, 1, 1, 2, 1, 0, 3, 4, 4, 4, 2, 3, 2, 0, 0, 0, 2, 1, 0, 4, 0, 2, 3, 3, 3, 0, 4, 2, 0, 0, 0, 1, 0, 3, 2, 0, 3, 1, 2, 3, 1, 1, 4, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 2, 0, 4, 0, 3, 1, 3, 3, 2, 1, 1, 1, 4, 0, 4, 3, 3, 3, 2, 2, 0, 1, 3, 1, 2, 1, 4, 2, 1, 4, 3, 2, 1, 2, 3, 1, 2, 0, 2, 4, 3, 1, 3, 2, 3, 2, 4, 2, 0, 2, 2, 4, 4, 1, 1, 4, 3, 0, 4, 1, 3, 1, 4, 2, 1, 3, 3, 4, 1, 3, 4, 0, 0, 3, 2, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 1, 3, 1, 4, 2, 0, 4, 0, 3, 1, 0, 2, 4, 4, 0, 1, 1, 1, 4, 4, 3, 2, 2, 4, 0, 2, 1, 2, 2, 2, 0, 0, 3, 0, 1, 1, 3, 0, 3, 0, 1, 3, 1, 4, 1, 0, 1, 3, 0, 0, 0, 4, 2, 4, 2, 1, 1, 0, 3, 2, 3, 0, 3, 3, 3, 2, 4, 4, 2, 4, 1, 3, 2, 2, 3, 1, 4, 4, 0, 4, 2, 0, 1, 1, 3, 0, 0, 4, 2, 2, 0, 1, 3, 4, 4, 0, 2, 4, 4, 3, 1, 1, 0, 0, 1, 0, 4, 1, 0, 4, 1, 4, 2, 4, 4, 0, 2, 2, 3, 4, 4, 4, 1, 2, 0, 4, 3, 3, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 3, 1, 3, 1, 3, 4, 3, 1, 1, 4, 1, 3, 1, 2, 2, 2, 0, 4, 4, 0, 4, 2, 3, 1, 1, 0, 4, 2, 3] pubkeycol1471 = [0, 2, 4, 3, 3, 0, 2, 4, 4, 1, 2, 1, 4, 3, 2, 0, 2, 4, 3, 1, 3, 2, 4, 0, 3, 3, 2, 0, 2, 2, 3, 1, 2, 0, 3, 2, 2, 2, 0, 3, 1, 4, 2, 0, 0, 3, 0, 0, 2, 3, 2, 4, 4, 2, 1, 0, 3, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 2, 0, 0, 4, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 3, 3, 0, 4, 1, 4, 3, 3, 0, 4, 3, 4, 0, 1, 4, 2, 0, 3, 3, 3, 0, 1, 2, 1, 3, 1, 3, 1, 2, 4, 0, 1, 0, 4, 0, 1, 0, 2, 3, 3, 0, 3, 0, 1, 0, 3, 4, 2, 4, 4, 4, 3, 4, 4, 4, 2, 3, 2, 0, 3, 0, 2, 1, 4, 0, 4, 1, 0, 1, 2, 3, 2, 0, 1, 1, 4, 2, 0, 2, 0, 0, 2, 2, 4, 0, 0, 3, 4, 0, 3, 1, 3, 1, 1, 0, 2, 3, 2, 0, 4, 3, 1, 1, 0, 1, 0, 3, 0, 4, 1, 2, 2, 1, 0, 4, 4, 1, 2, 4, 4, 3, 3, 4, 1, 2, 3, 4, 0, 3, 2, 3, 3, 3, 1, 2, 0, 2, 2, 1, 2, 0, 3, 3, 2, 1, 2, 2, 3, 2, 2, 4, 4, 1, 0, 2, 0, 4, 0, 3, 3, 2, 0, 0, 4, 1, 1, 0, 0, 1, 1, 1, 4, 0, 3, 3, 2, 1, 3, 3, 1, 4, 1, 3, 0, 1, 3, 3, 1, 0, 1, 1, 3, 4, 4, 0, 2, 1, 4, 0, 1, 4, 4, 3, 4, 2, 1, 1, 1, 2, 1, 4, 3, 1, 0, 2, 4, 3, 1, 4, 3, 0, 4, 2, 0, 4, 2, 1, 4, 0, 2, 2, 0, 0, 2, 2, 4, 0, 0, 2, 4, 2, 2, 0, 3, 4, 1, 0, 3, 0, 2, 0, 3, 2, 3, 3, 2, 4, 1, 4, 0, 1, 2, 3, 0, 3, 3, 0, 2, 3, 1, 2, 0, 3, 3, 4, 3, 4, 4, 1, 2, 2, 0, 0, 0, 0, 3, 1, 2, 0, 2, 1, 2, 4, 2, 0, 4, 3, 1, 3, 4, 2, 0, 3, 4, 1, 1, 1, 3, 0, 4, 2, 4, 2, 3, 4] pubkeycol1472 = [0, 0, 1, 4, 0, 1, 0, 2, 1, 4, 1, 3, 1, 2, 0, 4, 3, 4, 3, 2, 4, 2, 0, 0, 4, 1, 3, 1, 4, 3, 4, 1, 4, 1, 1, 3, 2, 2, 1, 3, 2, 0, 4, 3, 1, 1, 2, 3, 0, 4, 4, 2, 0, 3, 2, 1, 3, 0, 2, 3, 2, 3, 1, 1, 3, 3, 4, 2, 3, 1, 4, 1, 3, 0, 1, 0, 4, 1, 2, 4, 2, 0, 3, 3, 4, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 0, 0, 3, 1, 4, 3, 1, 0, 1, 4, 2, 1, 0, 3, 4, 1, 2, 0, 0, 2, 0, 0, 1, 1, 3, 0, 4, 2, 4, 1, 0, 3, 4, 2, 4, 2, 3, 0, 2, 4, 2, 3, 0, 1, 2, 3, 0, 4, 4, 3, 3, 1, 4, 3, 3, 2, 0, 4, 0, 4, 2, 1, 1, 1, 1, 4, 3, 3, 0, 4, 4, 0, 1, 0, 1, 3, 1, 3, 4, 4, 2, 3, 3, 2, 0, 2, 3, 0, 3, 3, 3, 1, 4, 2, 3, 3, 3, 0, 0, 2, 1, 0, 2, 4, 0, 1, 3, 2, 4, 4, 4, 1, 4, 2, 3, 0, 0, 0, 3, 4, 1, 4, 2, 3, 1, 0, 3, 2, 1, 4, 4, 0, 0, 1, 3, 2, 2, 4, 3, 0, 2, 1, 2, 1, 4, 1, 2, 4, 2, 0, 1, 4, 3, 2, 3, 3, 4, 3, 4, 3, 1, 1, 2, 1, 4, 0, 4, 1, 1, 2, 0, 4, 3, 3, 3, 0, 0, 4, 0, 0, 3, 4, 3, 3, 2, 1, 2, 2, 3, 2, 4, 3, 4, 4, 1, 1, 0, 4, 0, 0, 4, 0, 3, 1, 1, 4, 3, 3, 0, 3, 1, 2, 2, 4, 3, 4, 4, 4, 3, 1, 4, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 4, 3, 1, 2, 1, 1, 4, 3, 2, 2, 4, 2, 3, 0, 4, 2, 4, 1, 4, 1, 2, 0, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 1, 4, 2, 2, 2, 2, 4, 4, 3, 3, 4, 3, 0, 1, 4, 1, 3, 2, 4, 4, 3, 2, 3, 3, 2, 3, 0, 3, 0, 2, 3, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol1473 = [2, 2, 0, 4, 2, 1, 2, 2, 1, 4, 2, 4, 0, 0, 3, 2, 3, 0, 1, 2, 1, 0, 2, 4, 2, 1, 1, 3, 2, 0, 3, 0, 1, 2, 1, 2, 2, 3, 1, 0, 3, 0, 2, 2, 0, 4, 2, 0, 3, 1, 1, 3, 3, 2, 4, 0, 0, 0, 4, 1, 0, 4, 0, 1, 0, 1, 3, 1, 2, 3, 0, 3, 4, 3, 0, 0, 3, 2, 0, 0, 4, 4, 4, 3, 1, 2, 3, 0, 1, 4, 2, 4, 2, 0, 4, 1, 1, 0, 0, 3, 1, 1, 3, 4, 0, 3, 1, 1, 2, 2, 1, 0, 0, 0, 2, 3, 3, 1, 0, 2, 4, 2, 3, 3, 4, 0, 3, 3, 1, 3, 3, 1, 2, 1, 1, 1, 1, 4, 2, 2, 4, 3, 1, 1, 4, 2, 2, 3, 2, 4, 0, 3, 4, 2, 0, 0, 3, 3, 0, 0, 4, 0, 4, 0, 1, 3, 0, 4, 2, 0, 0, 3, 4, 4, 2, 0, 0, 4, 1, 3, 3, 3, 3, 1, 1, 2, 4, 3, 0, 0, 2, 0, 3, 3, 3, 3, 3, 0, 2, 1, 0, 0, 1, 3, 2, 2, 3, 3, 4, 3, 0, 0, 2, 1, 2, 2, 1, 3, 1, 0, 4, 2, 4, 4, 1, 2, 4, 3, 1, 0, 2, 1, 0, 4, 1, 4, 3, 3, 4, 4, 0, 2, 1, 0, 4, 1, 3, 2, 2, 3, 1, 3, 1, 2, 4, 2, 3, 4, 4, 2, 3, 0, 2, 1, 4, 3, 4, 4, 1, 2, 2, 2, 0, 4, 2, 1, 3, 0, 3, 3, 2, 1, 4, 0, 3, 0, 1, 4, 0, 4, 4, 2, 4, 1, 2, 1, 4, 3, 3, 0, 3, 2, 1, 0, 1, 4, 4, 4, 3, 1, 0, 1, 2, 2, 1, 2, 3, 4, 1, 2, 0, 4, 3, 4, 2, 0, 0, 2, 3, 4, 2, 2, 4, 2, 4, 1, 3, 4, 1, 2, 1, 0, 3, 2, 0, 3, 4, 0, 2, 3, 2, 2, 1, 4, 0, 3, 1, 3, 3, 3, 3, 4, 4, 2, 3, 1, 0, 1, 0, 0, 3, 4, 2, 3, 1, 2, 1, 1, 4, 1, 2, 3, 3, 0, 0, 2, 0, 3, 3, 1, 1, 2, 1, 4, 2, 1, 3, 1, 0, 0] pubkeycol1474 = [2, 3, 0, 1, 3, 3, 4, 0, 1, 2, 4, 3, 1, 2, 0, 2, 4, 3, 2, 2, 1, 2, 1, 1, 1, 0, 3, 3, 2, 0, 4, 1, 4, 4, 3, 4, 4, 3, 1, 3, 3, 3, 1, 0, 2, 4, 0, 0, 2, 0, 1, 3, 1, 1, 1, 1, 4, 2, 4, 4, 0, 1, 1, 4, 4, 0, 4, 2, 2, 1, 0, 2, 3, 2, 0, 2, 0, 2, 4, 0, 1, 1, 1, 4, 0, 1, 1, 0, 0, 3, 3, 0, 0, 2, 0, 2, 0, 2, 1, 3, 1, 3, 3, 2, 4, 2, 0, 2, 2, 2, 2, 2, 3, 3, 3, 4, 2, 4, 1, 4, 0, 1, 3, 0, 0, 2, 3, 4, 2, 4, 2, 3, 2, 2, 1, 3, 1, 3, 0, 4, 1, 2, 3, 3, 0, 1, 2, 1, 3, 0, 2, 2, 2, 2, 4, 3, 1, 1, 2, 4, 1, 2, 2, 2, 3, 3, 0, 4, 4, 1, 0, 0, 2, 4, 0, 4, 3, 2, 1, 4, 2, 1, 0, 4, 4, 2, 4, 0, 1, 2, 0, 3, 3, 2, 0, 3, 4, 2, 2, 2, 1, 0, 0, 2, 3, 1, 3, 0, 4, 4, 1, 0, 3, 2, 2, 0, 3, 0, 1, 0, 1, 1, 4, 3, 0, 1, 2, 1, 3, 3, 0, 3, 2, 0, 0, 0, 3, 4, 1, 4, 0, 0, 0, 3, 4, 3, 3, 0, 4, 1, 4, 4, 0, 2, 4, 4, 3, 2, 2, 0, 2, 3, 1, 2, 4, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 3, 0, 4, 1, 3, 1, 1, 0, 1, 2, 4, 0, 4, 4, 2, 2, 2, 0, 4, 4, 0, 0, 3, 0, 1, 1, 1, 1, 1, 2, 1, 3, 2, 3, 2, 3, 1, 4, 0, 3, 3, 1, 1, 1, 3, 2, 2, 0, 4, 3, 0, 2, 2, 4, 2, 0, 4, 4, 3, 4, 1, 0, 3, 0, 1, 3, 2, 3, 1, 1, 2, 2, 4, 1, 4, 4, 4, 0, 4, 4, 2, 0, 0, 1, 1, 0, 1, 0, 3, 3, 1, 0, 1, 4, 2, 1, 4, 0, 3, 0, 4, 3, 0, 0, 1, 0, 1, 2, 0, 1, 3, 3, 4, 2, 0, 2, 4, 2, 1] pubkeycol1475 = [3, 1, 4, 0, 3, 2, 1, 0, 3, 2, 0, 4, 0, 4, 1, 1, 4, 4, 3, 3, 0, 0, 0, 3, 1, 3, 4, 2, 0, 4, 2, 4, 1, 3, 4, 3, 2, 2, 4, 3, 2, 3, 1, 0, 4, 3, 4, 3, 0, 0, 2, 4, 4, 3, 1, 0, 1, 2, 2, 1, 3, 3, 4, 2, 1, 2, 0, 0, 1, 0, 1, 4, 1, 0, 1, 4, 0, 2, 2, 3, 1, 2, 0, 3, 1, 2, 1, 3, 2, 4, 4, 1, 2, 3, 1, 2, 3, 0, 4, 3, 0, 3, 1, 0, 3, 2, 3, 3, 4, 0, 1, 0, 3, 2, 3, 0, 2, 1, 3, 4, 4, 1, 2, 2, 3, 1, 3, 2, 2, 1, 2, 4, 0, 0, 0, 3, 4, 0, 3, 4, 0, 3, 3, 3, 3, 2, 2, 2, 3, 2, 0, 3, 2, 2, 4, 4, 0, 2, 0, 4, 3, 0, 3, 2, 4, 3, 0, 4, 1, 3, 3, 4, 3, 1, 1, 0, 0, 2, 3, 1, 1, 4, 4, 0, 1, 1, 2, 4, 1, 2, 3, 4, 3, 0, 0, 1, 1, 2, 0, 0, 1, 4, 2, 4, 0, 3, 0, 0, 3, 0, 1, 0, 1, 3, 4, 0, 3, 2, 2, 0, 0, 1, 4, 1, 2, 2, 1, 3, 2, 0, 2, 2, 2, 1, 1, 4, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 3, 4, 1, 1, 3, 4, 1, 2, 1, 2, 0, 3, 3, 1, 0, 3, 3, 1, 1, 3, 3, 0, 2, 2, 2, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 2, 0, 3, 1, 1, 3, 3, 2, 0, 4, 4, 1, 0, 0, 4, 0, 3, 2, 3, 1, 4, 3, 3, 4, 0, 0, 4, 3, 1, 4, 0, 1, 1, 3, 2, 4, 1, 2, 2, 0, 3, 2, 4, 1, 3, 1, 0, 4, 4, 3, 1, 2, 1, 3, 0, 4, 2, 1, 2, 0, 3, 1, 0, 2, 2, 1, 1, 2, 3, 3, 3, 3, 0, 2, 1, 1, 1, 4, 2, 0, 1, 3, 1, 0, 2, 4, 0, 0, 1, 3, 0, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 1, 1, 2, 0, 2, 3, 4, 2, 2, 2, 0, 0] pubkeycol1476 = [4, 2, 2, 3, 2, 1, 0, 2, 2, 2, 4, 4, 3, 2, 3, 3, 4, 0, 4, 4, 2, 1, 2, 1, 0, 2, 1, 1, 3, 4, 4, 4, 2, 0, 1, 4, 0, 1, 3, 3, 1, 1, 2, 1, 0, 2, 2, 0, 2, 4, 3, 0, 2, 0, 3, 3, 3, 2, 2, 3, 4, 4, 1, 0, 4, 3, 1, 3, 4, 2, 1, 3, 0, 0, 3, 4, 4, 1, 2, 2, 1, 1, 0, 4, 2, 4, 4, 1, 4, 4, 4, 4, 3, 0, 3, 2, 3, 1, 0, 2, 3, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 3, 3, 4, 4, 4, 0, 4, 4, 0, 2, 2, 4, 4, 3, 4, 4, 4, 0, 4, 4, 3, 0, 0, 0, 4, 4, 3, 1, 1, 3, 4, 3, 4, 1, 4, 3, 2, 4, 2, 3, 2, 4, 4, 3, 2, 4, 2, 3, 4, 4, 2, 0, 4, 3, 4, 4, 1, 4, 1, 4, 2, 4, 4, 1, 3, 4, 4, 4, 3, 0, 3, 3, 3, 1, 4, 4, 3, 2, 2, 1, 4, 2, 2, 2, 4, 3, 3, 2, 2, 2, 2, 1, 4, 1, 4, 3, 0, 2, 4, 4, 2, 1, 3, 4, 3, 4, 2, 0, 4, 3, 1, 2, 4, 4, 1, 0, 0, 1, 4, 4, 2, 4, 2, 1, 1, 0, 4, 4, 1, 2, 1, 0, 4, 0, 4, 2, 1, 0, 1, 0, 4, 0, 2, 1, 0, 4, 0, 4, 3, 2, 4, 3, 3, 4, 3, 2, 1, 0, 1, 0, 4, 3, 2, 3, 1, 2, 3, 2, 3, 2, 2, 3, 1, 2, 4, 0, 0, 2, 0, 4, 1, 0, 3, 4, 2, 3, 0, 2, 0, 4, 1, 0, 3, 1, 2, 1, 3, 1, 3, 2, 4, 2, 0, 0, 4, 4, 3, 0, 4, 4, 1, 0, 4, 3, 3, 1, 3, 0, 2, 2, 0, 4, 4, 4, 2, 1, 1, 0, 2, 4, 4, 1, 2, 3, 2, 1, 2, 0, 2, 4, 0, 0, 3, 3, 4, 3, 2, 1, 1, 3, 3, 0, 2, 2, 1, 2, 2, 1, 0, 4, 4, 2, 1, 2, 0, 2, 2, 4, 2, 2, 2, 1, 4, 1, 1, 0, 3, 4, 2, 1, 4, 0, 4, 3, 4] pubkeycol1477 = [0, 1, 4, 1, 1, 2, 3, 4, 1, 4, 4, 1, 3, 3, 1, 0, 0, 2, 0, 0, 1, 0, 4, 2, 1, 0, 0, 1, 1, 3, 2, 4, 0, 3, 3, 4, 4, 2, 2, 2, 1, 1, 3, 1, 4, 4, 1, 3, 1, 0, 2, 3, 1, 3, 3, 3, 4, 2, 4, 0, 2, 1, 3, 3, 1, 4, 2, 4, 1, 0, 0, 2, 2, 2, 0, 4, 1, 2, 2, 3, 3, 1, 4, 4, 0, 4, 0, 3, 4, 0, 2, 3, 1, 1, 3, 1, 4, 4, 1, 3, 3, 2, 3, 2, 1, 1, 3, 3, 3, 2, 2, 0, 3, 1, 4, 1, 1, 4, 2, 4, 2, 2, 1, 4, 0, 4, 2, 3, 4, 1, 4, 0, 2, 4, 3, 1, 2, 4, 3, 3, 0, 2, 3, 1, 4, 2, 2, 4, 2, 2, 3, 0, 2, 1, 3, 1, 0, 0, 1, 4, 3, 4, 1, 1, 4, 4, 4, 4, 4, 2, 4, 4, 4, 0, 1, 4, 1, 2, 3, 4, 0, 0, 1, 0, 3, 2, 2, 4, 3, 2, 4, 0, 0, 3, 3, 1, 1, 0, 3, 3, 3, 4, 1, 4, 4, 2, 2, 4, 4, 1, 1, 1, 3, 2, 4, 0, 0, 3, 4, 0, 1, 2, 4, 1, 1, 3, 3, 2, 3, 4, 1, 1, 2, 3, 4, 1, 4, 2, 4, 3, 2, 0, 1, 1, 1, 0, 2, 3, 1, 2, 3, 0, 2, 0, 2, 1, 4, 1, 2, 1, 1, 3, 1, 4, 4, 1, 1, 2, 0, 1, 4, 3, 0, 3, 3, 2, 1, 0, 1, 4, 2, 3, 0, 1, 0, 2, 4, 1, 2, 2, 3, 3, 0, 0, 2, 0, 0, 3, 1, 3, 2, 2, 2, 4, 3, 2, 0, 2, 3, 0, 3, 2, 4, 2, 4, 3, 3, 1, 3, 4, 0, 2, 1, 3, 1, 1, 0, 3, 0, 4, 4, 3, 1, 1, 3, 0, 3, 3, 1, 1, 0, 0, 1, 3, 2, 1, 0, 3, 1, 3, 1, 3, 4, 0, 4, 0, 0, 0, 1, 3, 4, 2, 3, 3, 3, 4, 4, 1, 2, 0, 1, 0, 3, 2, 3, 1, 3, 1, 1, 2, 1, 3, 2, 4, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 3, 4, 2, 1, 2, 3] pubkeycol1478 = [0, 4, 0, 1, 4, 2, 1, 3, 4, 3, 1, 0, 1, 2, 2, 0, 0, 0, 0, 4, 0, 2, 1, 4, 3, 1, 4, 2, 0, 1, 4, 2, 3, 4, 1, 3, 4, 0, 4, 0, 3, 2, 2, 0, 3, 0, 1, 4, 0, 4, 1, 0, 2, 1, 4, 0, 1, 1, 1, 0, 4, 0, 1, 0, 1, 1, 0, 0, 2, 2, 4, 2, 1, 2, 4, 4, 4, 3, 2, 1, 2, 1, 0, 1, 4, 1, 2, 1, 3, 1, 1, 4, 1, 1, 2, 3, 1, 0, 0, 2, 4, 3, 1, 0, 4, 0, 4, 1, 0, 4, 2, 4, 2, 4, 4, 0, 0, 3, 4, 1, 1, 0, 2, 1, 1, 4, 2, 4, 1, 0, 1, 1, 0, 1, 3, 3, 3, 0, 4, 4, 1, 0, 0, 3, 2, 4, 2, 2, 3, 3, 2, 0, 0, 0, 4, 1, 2, 0, 1, 4, 2, 0, 3, 4, 0, 0, 0, 0, 2, 0, 2, 3, 3, 2, 4, 2, 4, 2, 0, 4, 4, 1, 4, 0, 3, 1, 2, 3, 2, 2, 2, 4, 3, 1, 4, 3, 3, 3, 3, 1, 4, 0, 2, 4, 1, 3, 2, 1, 2, 1, 4, 3, 2, 1, 1, 3, 0, 3, 3, 4, 1, 0, 0, 0, 0, 2, 2, 2, 4, 1, 4, 1, 0, 4, 0, 1, 0, 1, 3, 2, 1, 4, 0, 0, 2, 0, 3, 1, 1, 3, 1, 0, 2, 4, 4, 3, 0, 1, 0, 3, 4, 0, 4, 0, 0, 2, 3, 1, 1, 0, 2, 3, 0, 0, 4, 1, 1, 3, 0, 4, 3, 0, 0, 1, 0, 3, 1, 3, 4, 4, 3, 1, 2, 1, 3, 1, 3, 2, 3, 1, 4, 0, 1, 2, 1, 3, 1, 2, 4, 2, 4, 2, 2, 1, 2, 0, 3, 0, 0, 2, 0, 2, 2, 4, 2, 4, 1, 0, 0, 4, 1, 1, 1, 0, 2, 0, 0, 4, 3, 3, 0, 3, 4, 0, 1, 1, 0, 1, 1, 0, 3, 4, 1, 2, 2, 0, 3, 3, 3, 2, 1, 4, 4, 4, 2, 2, 1, 4, 3, 1, 3, 3, 1, 4, 3, 3, 2, 4, 2, 0, 1, 1, 1, 2, 2, 2, 3, 0, 4, 1, 0, 2, 1, 2, 2, 2, 3, 1, 4, 0] pubkeycol1479 = [2, 0, 3, 0, 1, 4, 0, 1, 3, 1, 1, 0, 4, 2, 3, 0, 2, 0, 4, 2, 3, 3, 4, 2, 3, 1, 2, 2, 1, 2, 1, 2, 0, 3, 1, 2, 3, 1, 4, 3, 4, 1, 4, 4, 2, 4, 3, 1, 3, 2, 0, 4, 4, 0, 2, 0, 0, 1, 3, 4, 3, 4, 0, 4, 1, 3, 0, 4, 4, 4, 1, 0, 3, 0, 3, 1, 4, 0, 0, 3, 3, 2, 3, 1, 0, 0, 1, 0, 3, 1, 4, 3, 0, 2, 4, 4, 4, 4, 2, 3, 1, 1, 0, 1, 1, 0, 4, 2, 2, 0, 2, 1, 1, 1, 3, 4, 2, 4, 2, 0, 2, 1, 1, 1, 1, 4, 3, 3, 3, 3, 1, 1, 4, 4, 2, 0, 2, 0, 4, 3, 4, 1, 3, 2, 0, 1, 0, 0, 3, 2, 2, 0, 2, 1, 1, 1, 0, 4, 0, 3, 1, 0, 2, 3, 2, 1, 0, 3, 1, 1, 3, 3, 1, 3, 0, 2, 3, 0, 2, 2, 3, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 4, 2, 2, 2, 0, 4, 2, 0, 4, 2, 1, 2, 4, 2, 1, 2, 2, 0, 0, 1, 0, 0, 3, 0, 4, 3, 4, 4, 1, 3, 4, 3, 1, 2, 3, 1, 2, 0, 3, 3, 2, 3, 1, 3, 2, 4, 1, 2, 3, 3, 2, 1, 0, 0, 0, 4, 2, 0, 1, 4, 3, 4, 4, 4, 0, 0, 3, 3, 1, 0, 1, 2, 2, 2, 0, 3, 4, 0, 1, 2, 2, 0, 1, 4, 1, 1, 0, 0, 3, 4, 2, 3, 1, 2, 1, 4, 0, 4, 4, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 4, 1, 4, 3, 4, 1, 1, 4, 2, 0, 2, 0, 2, 4, 2, 1, 1, 3, 4, 0, 4, 3, 1, 3, 2, 3, 3, 1, 3, 3, 3, 4, 0, 4, 4, 3, 3, 4, 3, 4, 0, 2, 3, 4, 4, 3, 3, 1, 0, 3, 2, 0, 2, 4, 3, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 3, 0, 1, 4, 2, 0, 4, 4, 1, 4, 1, 4, 1, 4, 2, 1, 1, 4, 1, 4, 1, 0, 1, 3, 1, 0, 1, 3, 0, 3, 4] pubkeycol1480 = [1, 0, 0, 4, 0, 0, 4, 1, 4, 3, 1, 4, 4, 2, 3, 0, 0, 2, 3, 0, 0, 4, 0, 0, 4, 2, 4, 4, 3, 4, 1, 3, 1, 0, 0, 3, 3, 1, 0, 3, 2, 3, 3, 4, 2, 2, 3, 4, 4, 0, 4, 4, 0, 3, 3, 1, 3, 2, 4, 1, 3, 0, 3, 1, 0, 4, 4, 2, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 4, 3, 3, 3, 1, 0, 0, 4, 2, 3, 4, 0, 2, 0, 3, 2, 3, 0, 0, 2, 4, 3, 3, 3, 1, 2, 1, 1, 1, 2, 4, 0, 0, 1, 2, 2, 3, 4, 0, 0, 2, 0, 2, 2, 0, 1, 4, 0, 3, 2, 4, 3, 4, 0, 0, 4, 0, 1, 2, 4, 2, 0, 2, 4, 4, 0, 3, 0, 2, 2, 3, 3, 0, 1, 3, 2, 1, 1, 2, 4, 4, 2, 1, 2, 1, 0, 4, 0, 0, 4, 4, 1, 2, 2, 4, 2, 1, 2, 4, 3, 4, 2, 1, 3, 4, 2, 0, 4, 2, 2, 0, 1, 0, 3, 2, 3, 2, 4, 4, 1, 4, 0, 0, 2, 4, 3, 2, 4, 1, 4, 2, 3, 4, 3, 1, 3, 0, 4, 1, 3, 0, 3, 1, 3, 0, 0, 1, 2, 0, 1, 4, 0, 0, 3, 0, 4, 3, 2, 1, 2, 0, 3, 4, 0, 0, 0, 0, 1, 0, 2, 1, 4, 2, 1, 0, 4, 2, 0, 1, 4, 4, 3, 0, 0, 4, 0, 4, 2, 0, 2, 3, 1, 1, 2, 3, 0, 2, 2, 4, 0, 4, 1, 4, 2, 0, 1, 1, 2, 0, 4, 3, 0, 0, 0, 3, 3, 4, 3, 3, 0, 4, 0, 0, 3, 3, 1, 2, 2, 0, 2, 0, 4, 3, 1, 2, 1, 1, 3, 3, 4, 1, 3, 0, 4, 3, 0, 0, 4, 3, 1, 3, 0, 4, 3, 1, 3, 2, 4, 1, 0, 3, 1, 3, 2, 3, 3, 1, 4, 1, 3, 2, 0, 3, 1, 1, 4, 1, 2, 1, 2, 3, 2, 3, 3, 4, 3, 1, 4, 0, 4, 4, 2, 4, 4, 1, 2, 2, 4, 3, 0, 2, 1, 0, 3, 0, 4, 1, 1, 4, 0, 2, 0, 3, 2, 2, 3, 3, 4, 4, 2, 4] pubkeycol1481 = [2, 0, 2, 1, 0, 4, 3, 2, 4, 0, 1, 1, 4, 2, 4, 1, 0, 0, 1, 4, 0, 1, 1, 3, 4, 2, 3, 3, 0, 2, 2, 0, 4, 1, 1, 3, 2, 2, 0, 0, 1, 4, 3, 1, 3, 0, 3, 1, 4, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 3, 2, 2, 2, 3, 1, 4, 0, 2, 3, 2, 4, 4, 4, 0, 4, 2, 3, 3, 3, 3, 4, 0, 1, 1, 0, 4, 1, 1, 2, 2, 3, 3, 4, 4, 0, 3, 2, 2, 2, 3, 2, 3, 0, 4, 3, 1, 0, 4, 0, 1, 4, 2, 3, 1, 1, 1, 0, 3, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 3, 2, 3, 0, 4, 1, 2, 0, 1, 3, 1, 4, 2, 4, 3, 1, 3, 2, 1, 2, 1, 3, 1, 2, 2, 4, 2, 0, 1, 1, 2, 1, 2, 3, 3, 4, 3, 2, 3, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 3, 2, 3, 0, 2, 1, 0, 0, 2, 4, 1, 4, 0, 0, 2, 4, 3, 2, 4, 0, 0, 3, 2, 1, 0, 1, 4, 4, 4, 2, 1, 2, 0, 3, 1, 4, 3, 1, 2, 3, 3, 2, 3, 4, 4, 4, 0, 3, 0, 0, 1, 4, 1, 3, 2, 4, 1, 4, 0, 2, 1, 0, 4, 0, 1, 1, 0, 4, 3, 2, 4, 0, 3, 4, 4, 0, 0, 2, 0, 3, 2, 0, 2, 3, 4, 1, 0, 0, 4, 1, 0, 3, 4, 3, 4, 1, 1, 2, 0, 4, 1, 3, 4, 3, 3, 0, 3, 3, 2, 1, 1, 4, 4, 0, 4, 1, 0, 2, 1, 2, 3, 4, 0, 0, 3, 4, 0, 4, 1, 3, 1, 4, 4, 1, 4, 2, 1, 3, 4, 3, 0, 3, 2, 3, 1, 1, 1, 3, 4, 1, 4, 2, 0, 0, 4, 1, 1, 4, 2, 3, 2, 1, 1, 3, 4, 2, 3, 2, 0, 4, 3, 2, 0, 4, 3, 2, 3, 0, 2, 4, 4, 3, 4, 2, 3, 3, 0, 1, 4, 4, 3, 2, 2, 0, 1, 2, 2, 4, 2, 3, 1, 4, 1, 0, 4, 4, 0, 1, 0, 1, 0, 3, 1, 1, 2, 0, 4, 2] pubkeycol1482 = [3, 4, 3, 1, 1, 2, 0, 2, 2, 4, 4, 1, 4, 3, 3, 4, 0, 1, 4, 3, 1, 1, 1, 3, 4, 3, 1, 4, 3, 2, 0, 3, 3, 1, 0, 2, 1, 0, 2, 0, 3, 1, 2, 1, 3, 0, 2, 0, 4, 3, 0, 1, 2, 3, 2, 4, 0, 0, 0, 4, 1, 2, 2, 1, 2, 1, 0, 3, 3, 1, 2, 3, 3, 3, 0, 1, 1, 3, 0, 3, 0, 1, 3, 0, 4, 0, 4, 3, 3, 4, 0, 1, 2, 1, 2, 0, 4, 4, 4, 0, 2, 2, 3, 3, 3, 3, 4, 1, 1, 0, 1, 0, 3, 1, 2, 4, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 3, 4, 1, 2, 2, 1, 4, 1, 1, 1, 0, 0, 4, 2, 2, 4, 1, 0, 1, 0, 3, 4, 1, 2, 4, 4, 3, 2, 2, 4, 0, 4, 3, 3, 4, 0, 1, 3, 3, 0, 2, 2, 1, 2, 4, 1, 1, 3, 4, 3, 3, 3, 3, 2, 0, 1, 4, 0, 0, 4, 4, 3, 0, 0, 1, 2, 2, 4, 0, 4, 0, 1, 1, 4, 2, 4, 3, 1, 0, 3, 3, 1, 0, 3, 3, 2, 1, 0, 0, 4, 3, 2, 4, 2, 1, 1, 4, 0, 2, 4, 0, 2, 3, 4, 0, 0, 1, 4, 4, 0, 0, 0, 1, 3, 2, 1, 0, 1, 4, 1, 2, 1, 1, 1, 4, 1, 0, 3, 0, 4, 4, 0, 1, 1, 1, 4, 4, 3, 4, 0, 4, 3, 2, 4, 0, 4, 4, 4, 1, 1, 4, 4, 3, 0, 4, 1, 3, 3, 1, 3, 0, 1, 2, 0, 0, 1, 0, 4, 3, 2, 0, 0, 0, 3, 3, 1, 3, 0, 1, 4, 3, 1, 3, 1, 1, 0, 2, 0, 4, 4, 1, 2, 0, 4, 4, 3, 4, 4, 4, 1, 2, 2, 2, 2, 3, 4, 2, 3, 1, 2, 3, 1, 2, 0, 1, 1, 2, 2, 4, 2, 1, 3, 2, 1, 4, 4, 4, 4, 4, 3, 0, 0, 0, 4, 4, 2, 1, 2, 4, 4, 4, 3, 4, 3, 3, 3, 1, 3, 1, 4, 3, 4, 0, 3, 0, 3, 1, 3, 4, 0, 3, 1, 3, 2, 2, 3, 3, 3, 1, 4, 0, 2, 2, 0] pubkeycol1483 = [1, 2, 3, 3, 1, 3, 1, 4, 0, 4, 4, 0, 1, 4, 1, 3, 1, 0, 0, 3, 0, 2, 0, 2, 2, 1, 2, 4, 3, 3, 2, 0, 3, 1, 2, 4, 3, 4, 1, 2, 1, 1, 3, 2, 0, 1, 2, 2, 3, 4, 2, 3, 3, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 4, 2, 2, 0, 1, 2, 4, 4, 2, 4, 0, 3, 1, 4, 1, 0, 0, 4, 3, 2, 1, 2, 0, 1, 1, 2, 0, 3, 4, 1, 0, 3, 3, 0, 4, 4, 0, 1, 4, 4, 4, 0, 1, 3, 3, 0, 3, 4, 2, 2, 1, 3, 1, 4, 1, 0, 1, 1, 0, 4, 0, 0, 0, 4, 3, 3, 3, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 4, 2, 0, 2, 1, 0, 4, 3, 3, 2, 2, 0, 4, 1, 0, 2, 2, 2, 2, 0, 4, 2, 2, 2, 1, 0, 3, 3, 4, 2, 0, 2, 4, 3, 3, 2, 1, 2, 0, 0, 2, 0, 3, 3, 4, 4, 2, 1, 0, 4, 3, 2, 0, 1, 4, 3, 2, 0, 0, 4, 4, 0, 4, 3, 2, 4, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 4, 2, 3, 2, 2, 1, 3, 0, 4, 0, 3, 3, 4, 2, 3, 4, 3, 3, 0, 2, 4, 2, 3, 0, 1, 2, 1, 1, 3, 3, 3, 0, 1, 0, 3, 2, 2, 3, 2, 3, 1, 1, 0, 1, 4, 3, 1, 0, 1, 2, 4, 2, 1, 3, 1, 2, 0, 0, 2, 3, 3, 4, 1, 0, 4, 2, 2, 4, 1, 3, 2, 0, 1, 0, 1, 4, 3, 4, 0, 3, 2, 3, 1, 2, 0, 3, 2, 4, 0, 3, 3, 1, 4, 2, 2, 3, 0, 0, 3, 3, 3, 4, 4, 1, 4, 4, 3, 1, 2, 4, 3, 3, 4, 4, 1, 4, 1, 4, 3, 0, 1, 3, 1, 4, 2, 1, 4, 3, 1, 2, 0, 0, 1, 1, 4, 4, 0, 3, 4, 2, 2, 2, 4, 0, 3, 3, 3, 0, 0, 2, 1, 1, 3, 1, 4, 4, 1, 1, 1, 3, 4, 2, 2, 4, 1, 1, 3, 3, 1, 1, 3, 1, 4, 0, 3, 3, 0, 2] pubkeycol1484 = [0, 3, 4, 0, 0, 1, 0, 2, 4, 3, 3, 0, 2, 0, 4, 1, 0, 3, 3, 4, 4, 4, 2, 3, 2, 1, 3, 0, 3, 1, 3, 4, 0, 0, 3, 4, 2, 3, 3, 2, 3, 1, 0, 2, 3, 2, 0, 4, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 0, 0, 4, 2, 2, 3, 2, 2, 0, 3, 2, 0, 4, 1, 4, 4, 0, 4, 1, 2, 3, 2, 2, 1, 3, 4, 2, 0, 0, 0, 0, 4, 1, 2, 0, 1, 1, 2, 4, 4, 1, 0, 0, 4, 0, 3, 2, 4, 2, 3, 1, 4, 2, 0, 3, 3, 2, 4, 0, 1, 0, 4, 2, 4, 4, 0, 3, 0, 0, 3, 2, 3, 1, 1, 3, 4, 0, 2, 3, 1, 3, 0, 3, 0, 4, 0, 2, 3, 2, 3, 2, 2, 2, 3, 4, 1, 4, 1, 1, 3, 1, 0, 0, 0, 1, 0, 4, 3, 0, 4, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 0, 0, 1, 2, 2, 0, 4, 0, 3, 2, 1, 0, 4, 3, 3, 4, 3, 0, 1, 0, 0, 2, 4, 4, 2, 3, 2, 2, 1, 2, 3, 1, 2, 4, 1, 0, 0, 0, 3, 2, 2, 0, 4, 3, 3, 4, 2, 2, 2, 1, 3, 1, 2, 0, 1, 2, 4, 0, 2, 3, 4, 2, 2, 2, 1, 2, 3, 1, 4, 4, 4, 2, 2, 0, 1, 2, 2, 3, 3, 2, 0, 4, 4, 0, 1, 3, 1, 2, 2, 0, 1, 4, 2, 4, 2, 2, 4, 0, 0, 3, 4, 2, 3, 2, 4, 4, 2, 1, 3, 0, 2, 0, 1, 1, 1, 3, 1, 2, 0, 4, 3, 4, 4, 2, 4, 4, 4, 3, 2, 1, 1, 1, 3, 0, 2, 3, 2, 4, 2, 4, 2, 2, 0, 2, 4, 3, 2, 1, 1, 1, 4, 2, 2, 3, 0, 2, 1, 1, 4, 1, 3, 4, 3, 0, 0, 3, 0, 3, 2, 0, 1, 3, 4, 4, 2, 3, 2, 0, 0, 4, 3, 3, 0, 2, 2, 3, 1, 0, 4, 2, 2, 3, 1, 1, 2, 3, 4, 0, 0, 1, 4, 1, 0, 2, 1, 0, 3, 4, 2, 4, 0, 3, 3, 4, 3, 2, 4, 1, 1, 3, 1, 0] pubkeycol1485 = [2, 0, 4, 4, 2, 4, 0, 2, 2, 0, 2, 3, 0, 0, 1, 0, 4, 3, 3, 0, 3, 2, 0, 4, 2, 2, 0, 2, 1, 4, 1, 0, 2, 4, 3, 3, 0, 3, 4, 2, 3, 4, 4, 3, 0, 4, 3, 2, 1, 1, 2, 2, 1, 4, 4, 3, 2, 0, 2, 2, 2, 1, 0, 4, 1, 3, 1, 1, 4, 4, 3, 2, 3, 4, 3, 1, 2, 2, 0, 2, 3, 0, 0, 2, 4, 4, 0, 1, 3, 1, 1, 0, 3, 2, 3, 0, 4, 4, 0, 4, 4, 3, 3, 0, 4, 1, 4, 4, 2, 3, 1, 2, 3, 0, 3, 4, 2, 4, 0, 4, 0, 4, 0, 2, 3, 1, 0, 0, 1, 0, 2, 2, 1, 3, 1, 1, 2, 1, 3, 1, 1, 3, 3, 1, 0, 2, 1, 0, 0, 4, 0, 0, 4, 0, 0, 1, 3, 3, 2, 4, 2, 2, 2, 0, 0, 2, 1, 2, 4, 3, 3, 0, 0, 4, 2, 3, 3, 3, 1, 3, 3, 1, 0, 4, 3, 4, 0, 0, 0, 1, 3, 4, 3, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 4, 2, 3, 0, 2, 2, 1, 2, 3, 4, 1, 2, 0, 4, 1, 4, 2, 3, 3, 1, 3, 0, 1, 1, 3, 1, 2, 0, 0, 0, 3, 0, 1, 3, 2, 2, 0, 4, 3, 3, 2, 4, 0, 4, 3, 1, 1, 2, 0, 0, 2, 4, 3, 1, 4, 3, 0, 1, 1, 0, 1, 4, 4, 1, 0, 4, 0, 3, 1, 1, 0, 3, 2, 3, 0, 4, 3, 0, 1, 3, 1, 1, 4, 0, 4, 2, 1, 3, 1, 3, 0, 1, 1, 3, 3, 1, 2, 4, 1, 4, 4, 1, 4, 0, 2, 0, 4, 1, 0, 1, 1, 2, 1, 1, 0, 4, 1, 4, 4, 4, 4, 0, 1, 3, 1, 4, 1, 0, 3, 2, 2, 2, 2, 4, 2, 2, 1, 1, 0, 4, 3, 2, 1, 2, 4, 3, 0, 2, 4, 1, 0, 2, 2, 4, 2, 3, 1, 0, 0, 4, 0, 4, 2, 2, 4, 1, 3, 1, 0, 1, 0, 2, 3, 4, 2, 1, 2, 3, 2, 1, 4, 4, 0, 1, 0, 1, 2, 3, 4, 2, 4, 0, 1, 4, 0] pubkeycol1486 = [0, 3, 4, 2, 0, 0, 4, 3, 2, 1, 0, 1, 4, 0, 0, 3, 3, 3, 1, 4, 4, 0, 1, 2, 2, 2, 2, 1, 2, 3, 4, 3, 2, 3, 4, 2, 3, 1, 4, 0, 3, 0, 4, 0, 1, 0, 0, 2, 0, 4, 1, 1, 2, 4, 4, 1, 3, 4, 2, 4, 1, 1, 3, 3, 3, 1, 3, 2, 4, 2, 4, 2, 3, 4, 1, 1, 4, 0, 3, 3, 3, 0, 0, 2, 4, 2, 4, 4, 2, 1, 4, 3, 4, 1, 0, 4, 2, 4, 3, 2, 2, 4, 0, 2, 2, 2, 2, 0, 2, 1, 1, 3, 4, 1, 0, 1, 3, 4, 4, 1, 3, 4, 2, 4, 0, 2, 0, 1, 3, 1, 2, 3, 1, 0, 0, 2, 3, 0, 1, 2, 4, 4, 1, 2, 0, 0, 2, 3, 1, 1, 2, 3, 1, 3, 2, 2, 4, 1, 1, 2, 3, 1, 3, 1, 3, 3, 2, 4, 3, 0, 1, 0, 1, 1, 0, 3, 2, 1, 2, 1, 2, 4, 2, 4, 4, 0, 4, 3, 2, 3, 0, 2, 3, 0, 1, 3, 1, 0, 3, 2, 1, 0, 1, 2, 4, 4, 0, 4, 4, 4, 4, 0, 1, 0, 1, 0, 1, 1, 1, 3, 2, 3, 4, 1, 2, 2, 3, 0, 2, 3, 0, 1, 3, 2, 0, 1, 4, 1, 4, 4, 0, 2, 3, 4, 2, 0, 1, 4, 0, 1, 4, 0, 3, 0, 4, 2, 3, 1, 3, 4, 2, 2, 3, 2, 0, 1, 1, 0, 0, 1, 1, 2, 4, 3, 2, 0, 0, 3, 0, 4, 0, 3, 3, 1, 3, 2, 0, 3, 4, 3, 4, 2, 4, 4, 0, 2, 4, 4, 2, 4, 2, 1, 0, 0, 4, 4, 1, 2, 2, 0, 2, 1, 1, 1, 3, 4, 1, 3, 0, 1, 2, 4, 2, 0, 2, 4, 0, 1, 0, 1, 3, 4, 0, 1, 3, 3, 2, 4, 3, 2, 3, 0, 1, 0, 1, 3, 1, 0, 3, 3, 3, 4, 3, 4, 3, 1, 3, 2, 2, 4, 1, 0, 2, 1, 1, 4, 4, 3, 3, 0, 0, 2, 2, 4, 3, 1, 2, 2, 2, 1, 1, 4, 3, 1, 0, 1, 3, 0, 0, 1, 2, 0, 4, 0, 2, 0, 3, 0, 0, 1] pubkeycol1487 = [3, 1, 2, 4, 0, 0, 4, 1, 2, 2, 4, 3, 4, 1, 4, 0, 2, 2, 3, 4, 1, 4, 3, 2, 3, 1, 3, 2, 2, 0, 1, 3, 3, 1, 0, 3, 2, 1, 4, 2, 3, 0, 2, 1, 0, 2, 3, 0, 3, 3, 3, 3, 0, 3, 2, 2, 0, 0, 1, 4, 4, 2, 4, 3, 0, 0, 1, 1, 0, 0, 3, 0, 3, 3, 2, 4, 2, 0, 3, 1, 1, 3, 0, 0, 1, 1, 3, 0, 1, 1, 3, 4, 3, 0, 3, 1, 1, 2, 3, 2, 4, 3, 3, 3, 0, 0, 1, 4, 2, 4, 4, 3, 1, 3, 2, 1, 1, 4, 2, 1, 0, 2, 2, 2, 1, 3, 1, 0, 3, 2, 3, 3, 0, 0, 4, 1, 0, 0, 1, 0, 3, 2, 1, 2, 0, 2, 0, 0, 2, 3, 2, 2, 4, 4, 2, 2, 2, 2, 3, 1, 0, 2, 4, 3, 3, 2, 3, 0, 0, 4, 2, 0, 2, 4, 2, 1, 1, 4, 1, 1, 2, 2, 3, 0, 2, 0, 1, 1, 3, 4, 1, 0, 4, 2, 2, 2, 4, 2, 2, 0, 0, 4, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 3, 4, 1, 3, 4, 0, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 3, 1, 3, 0, 2, 1, 3, 3, 2, 2, 3, 0, 2, 2, 3, 4, 2, 1, 2, 0, 4, 2, 4, 3, 3, 0, 2, 2, 2, 1, 1, 3, 2, 0, 1, 3, 4, 0, 4, 2, 3, 1, 1, 1, 2, 1, 4, 1, 4, 0, 1, 3, 4, 2, 4, 2, 2, 1, 2, 3, 4, 2, 1, 1, 3, 0, 1, 0, 2, 1, 1, 1, 3, 0, 2, 1, 1, 1, 2, 2, 2, 4, 1, 0, 0, 3, 2, 3, 2, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 2, 0, 2, 1, 3, 3, 4, 0, 1, 4, 0, 2, 2, 0, 4, 2, 2, 1, 2, 2, 3, 2, 4, 4, 3, 2, 3, 1, 1, 4, 0, 3, 0, 2, 4, 1, 2, 1, 2, 1, 3, 1, 3, 3, 2, 1, 3, 0, 1, 0, 2, 0, 3, 1, 0, 2, 4, 1, 1, 3, 0, 2, 2, 3, 4, 0] pubkeycol1488 = [4, 0, 1, 2, 2, 0, 4, 4, 0, 4, 0, 2, 2, 3, 4, 0, 3, 3, 4, 2, 2, 4, 0, 0, 4, 1, 2, 2, 3, 2, 4, 1, 3, 1, 0, 4, 0, 3, 0, 2, 3, 2, 2, 4, 3, 1, 3, 3, 4, 1, 0, 2, 3, 3, 4, 4, 0, 4, 1, 3, 4, 4, 1, 3, 0, 0, 3, 2, 4, 0, 0, 1, 0, 1, 0, 3, 4, 1, 0, 0, 1, 0, 1, 1, 3, 2, 0, 1, 3, 4, 1, 0, 0, 0, 1, 2, 2, 1, 0, 4, 0, 1, 1, 4, 4, 1, 2, 2, 4, 0, 3, 2, 2, 3, 0, 2, 1, 2, 2, 4, 2, 2, 0, 4, 2, 2, 1, 1, 3, 0, 0, 4, 2, 0, 4, 4, 3, 4, 1, 1, 1, 3, 3, 3, 3, 1, 3, 1, 0, 2, 3, 3, 1, 4, 3, 1, 0, 0, 0, 0, 0, 4, 1, 3, 4, 0, 3, 2, 2, 2, 0, 2, 2, 0, 2, 0, 3, 0, 3, 2, 0, 1, 0, 1, 3, 3, 2, 2, 4, 3, 1, 1, 0, 3, 0, 1, 4, 2, 2, 4, 4, 1, 4, 2, 0, 3, 2, 3, 2, 3, 4, 1, 1, 2, 4, 4, 0, 4, 2, 2, 3, 1, 1, 0, 3, 1, 4, 2, 1, 2, 2, 0, 3, 4, 3, 3, 3, 0, 0, 1, 1, 0, 2, 3, 0, 0, 0, 4, 1, 0, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 3, 3, 3, 4, 4, 0, 2, 2, 1, 3, 0, 3, 1, 1, 0, 0, 3, 1, 3, 1, 0, 3, 1, 0, 4, 2, 2, 0, 4, 4, 2, 1, 3, 0, 3, 2, 2, 1, 3, 1, 3, 3, 1, 4, 4, 1, 1, 4, 2, 0, 3, 0, 2, 2, 4, 1, 4, 1, 3, 4, 3, 1, 3, 1, 4, 4, 0, 3, 4, 3, 4, 3, 2, 3, 0, 3, 3, 0, 3, 1, 0, 3, 0, 1, 0, 2, 0, 1, 2, 0, 3, 4, 2, 3, 2, 4, 0, 2, 0, 4, 2, 0, 0, 3, 4, 3, 4, 2, 0, 1, 3, 1, 0, 2, 3, 1, 3, 0, 3, 0, 0, 4, 3, 1, 2, 0, 3, 4, 0, 1, 4, 4, 0, 1, 0, 1, 4] pubkeycol1489 = [2, 2, 4, 2, 2, 4, 2, 3, 2, 4, 0, 4, 0, 2, 0, 3, 2, 3, 1, 3, 3, 4, 3, 2, 2, 1, 1, 1, 2, 3, 3, 4, 4, 1, 2, 1, 2, 1, 1, 0, 4, 4, 4, 0, 1, 4, 4, 2, 3, 0, 3, 2, 0, 1, 4, 0, 3, 0, 3, 2, 2, 2, 4, 1, 1, 4, 3, 2, 2, 0, 4, 1, 1, 0, 4, 3, 0, 3, 4, 2, 3, 0, 1, 1, 2, 2, 4, 1, 1, 3, 0, 3, 1, 4, 1, 1, 1, 1, 3, 0, 2, 1, 3, 4, 0, 2, 4, 3, 0, 1, 0, 1, 4, 0, 4, 0, 2, 3, 4, 1, 1, 0, 0, 1, 3, 4, 1, 2, 0, 0, 4, 0, 1, 1, 2, 1, 3, 4, 1, 2, 1, 3, 4, 3, 4, 2, 0, 0, 4, 4, 4, 0, 1, 2, 2, 4, 3, 0, 1, 1, 0, 3, 0, 2, 1, 2, 4, 3, 4, 2, 2, 0, 4, 0, 1, 4, 0, 4, 0, 3, 3, 3, 0, 4, 3, 1, 3, 3, 3, 1, 1, 4, 0, 0, 4, 0, 0, 4, 3, 0, 4, 3, 3, 0, 1, 0, 2, 4, 3, 3, 2, 4, 0, 3, 1, 1, 0, 4, 1, 0, 2, 4, 3, 4, 4, 1, 2, 1, 0, 2, 0, 3, 4, 4, 3, 4, 0, 1, 2, 4, 0, 1, 4, 0, 3, 4, 1, 1, 0, 4, 0, 4, 2, 1, 3, 0, 0, 0, 2, 3, 0, 3, 4, 4, 2, 3, 4, 1, 3, 2, 2, 3, 4, 0, 3, 0, 0, 1, 2, 1, 0, 3, 1, 3, 2, 1, 2, 2, 3, 0, 1, 4, 3, 1, 0, 3, 4, 1, 3, 0, 3, 3, 1, 0, 3, 0, 3, 3, 0, 2, 2, 0, 1, 1, 2, 4, 0, 0, 2, 4, 0, 4, 2, 0, 4, 4, 1, 0, 1, 1, 3, 4, 2, 3, 3, 3, 4, 1, 2, 4, 4, 4, 4, 0, 0, 0, 1, 4, 4, 2, 2, 0, 4, 1, 0, 2, 3, 0, 3, 3, 3, 1, 0, 0, 3, 2, 1, 0, 1, 4, 4, 1, 2, 1, 4, 1, 0, 1, 3, 4, 0, 1, 4, 2, 4, 3, 0, 1, 2, 2, 0, 4, 3, 1, 4, 1, 3, 2, 0, 2] pubkeycol1490 = [2, 1, 4, 0, 4, 3, 1, 3, 0, 2, 1, 2, 2, 2, 2, 3, 3, 1, 3, 3, 2, 1, 4, 3, 1, 3, 4, 1, 4, 3, 3, 0, 2, 1, 4, 1, 2, 2, 0, 4, 4, 0, 0, 1, 2, 0, 4, 3, 4, 0, 4, 2, 4, 3, 0, 3, 1, 0, 1, 2, 4, 3, 3, 4, 3, 1, 1, 0, 2, 2, 3, 4, 0, 4, 1, 4, 2, 1, 0, 3, 3, 1, 1, 0, 4, 2, 1, 2, 1, 0, 1, 0, 2, 2, 3, 0, 0, 2, 3, 0, 1, 2, 0, 1, 3, 3, 2, 0, 3, 0, 0, 3, 0, 3, 0, 4, 3, 0, 1, 1, 1, 2, 3, 4, 0, 2, 2, 3, 2, 2, 0, 0, 3, 0, 3, 2, 2, 3, 2, 0, 4, 3, 0, 4, 2, 2, 4, 1, 4, 2, 4, 1, 1, 3, 0, 1, 1, 0, 2, 2, 1, 1, 1, 3, 2, 1, 3, 4, 4, 4, 4, 1, 2, 4, 4, 4, 0, 4, 3, 0, 3, 4, 3, 0, 4, 3, 2, 3, 4, 3, 0, 0, 2, 0, 0, 2, 3, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 4, 3, 4, 4, 4, 3, 4, 3, 2, 1, 0, 0, 2, 4, 2, 1, 4, 0, 2, 1, 4, 0, 4, 3, 2, 2, 1, 1, 0, 4, 2, 3, 3, 1, 2, 1, 3, 3, 2, 0, 3, 0, 3, 3, 3, 0, 0, 1, 4, 4, 0, 0, 3, 3, 1, 2, 2, 4, 2, 4, 4, 3, 2, 4, 2, 3, 3, 4, 4, 3, 3, 1, 3, 1, 1, 0, 4, 0, 1, 2, 4, 3, 2, 2, 4, 4, 2, 0, 2, 2, 1, 2, 3, 2, 4, 4, 3, 4, 3, 2, 0, 4, 4, 4, 0, 4, 4, 2, 3, 1, 0, 3, 1, 0, 1, 3, 2, 1, 2, 1, 4, 2, 4, 3, 1, 4, 2, 1, 3, 0, 4, 1, 3, 4, 1, 2, 1, 2, 2, 2, 4, 1, 4, 1, 4, 4, 3, 1, 2, 4, 2, 4, 2, 2, 3, 2, 3, 4, 1, 1, 2, 3, 2, 1, 1, 0, 2, 1, 4, 2, 0, 2, 2, 1, 1, 4, 4, 3, 0, 4, 1, 4, 0, 0, 0, 4, 1, 4, 1, 0, 1, 0, 3] pubkeycol1491 = [1, 1, 4, 0, 0, 0, 3, 1, 3, 3, 0, 4, 2, 1, 4, 1, 2, 1, 3, 2, 2, 0, 1, 4, 0, 4, 3, 2, 1, 2, 1, 0, 1, 2, 3, 4, 3, 0, 2, 4, 3, 3, 2, 4, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 3, 0, 0, 1, 0, 1, 2, 1, 3, 1, 3, 3, 3, 2, 4, 2, 0, 2, 4, 4, 1, 0, 1, 3, 0, 2, 1, 2, 3, 2, 4, 0, 0, 0, 3, 4, 3, 2, 4, 2, 2, 3, 0, 3, 3, 2, 0, 1, 3, 2, 1, 0, 1, 0, 0, 2, 0, 0, 4, 1, 4, 4, 0, 0, 0, 2, 4, 3, 2, 3, 3, 4, 0, 4, 1, 4, 1, 3, 0, 0, 3, 2, 4, 0, 2, 2, 2, 2, 3, 1, 3, 4, 0, 1, 4, 0, 0, 3, 2, 4, 0, 0, 1, 0, 1, 0, 4, 2, 0, 4, 2, 3, 4, 0, 2, 0, 2, 4, 4, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 4, 1, 0, 2, 4, 1, 2, 0, 4, 1, 1, 2, 4, 2, 0, 0, 2, 3, 0, 4, 0, 4, 0, 2, 2, 0, 3, 0, 0, 1, 3, 3, 3, 1, 0, 2, 3, 1, 1, 0, 1, 1, 0, 4, 1, 4, 0, 2, 3, 0, 1, 2, 2, 4, 2, 1, 2, 0, 2, 0, 0, 2, 4, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 2, 4, 4, 4, 0, 1, 4, 0, 0, 0, 2, 0, 2, 3, 3, 4, 4, 1, 1, 0, 1, 4, 0, 2, 3, 0, 1, 4, 3, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 4, 4, 0, 2, 1, 3, 4, 0, 4, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 4, 2, 3, 4, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 3, 3, 3, 0, 0, 1, 0, 3, 2, 1, 1, 4, 4, 3, 0, 1, 4, 3, 3, 2, 3, 0, 0, 4, 1, 3, 0, 4, 3, 1, 3, 2, 2, 3, 0, 3, 1, 0, 0, 1, 2, 0, 3, 3, 3, 4, 0, 3, 2, 1, 0, 3, 2, 2, 3, 2, 3, 3, 1, 0, 3, 1, 4, 3, 1, 3] pubkeycol1492 = [0, 0, 4, 2, 4, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 4, 2, 2, 0, 1, 2, 0, 0, 3, 3, 4, 4, 4, 2, 4, 3, 4, 2, 1, 3, 1, 1, 4, 3, 3, 3, 0, 1, 0, 3, 3, 4, 0, 4, 2, 3, 4, 1, 0, 0, 3, 1, 3, 4, 1, 2, 1, 4, 2, 1, 0, 3, 2, 0, 0, 4, 2, 2, 4, 3, 4, 3, 4, 1, 1, 4, 2, 3, 1, 4, 4, 2, 3, 3, 0, 4, 4, 2, 4, 0, 2, 4, 0, 4, 0, 4, 1, 0, 4, 1, 2, 1, 0, 3, 0, 4, 1, 4, 0, 2, 0, 2, 3, 0, 2, 2, 1, 4, 4, 0, 1, 4, 3, 4, 1, 2, 0, 0, 1, 0, 0, 4, 3, 4, 1, 1, 1, 1, 3, 2, 4, 2, 3, 1, 1, 2, 1, 3, 4, 2, 3, 0, 1, 4, 3, 1, 1, 3, 1, 4, 3, 2, 4, 2, 0, 3, 3, 4, 2, 0, 4, 1, 3, 3, 2, 2, 0, 1, 1, 2, 1, 4, 3, 4, 4, 2, 2, 1, 1, 1, 2, 0, 4, 2, 3, 0, 1, 4, 0, 4, 2, 4, 4, 0, 1, 4, 1, 2, 1, 3, 1, 1, 2, 2, 2, 2, 2, 0, 3, 4, 1, 3, 1, 2, 3, 2, 1, 1, 0, 0, 3, 0, 2, 2, 1, 1, 4, 0, 4, 0, 0, 2, 1, 2, 4, 2, 4, 3, 0, 0, 2, 0, 1, 3, 0, 0, 4, 4, 3, 0, 0, 2, 2, 3, 3, 4, 1, 4, 2, 2, 2, 4, 4, 4, 2, 0, 2, 0, 1, 0, 3, 0, 0, 2, 0, 1, 0, 3, 2, 0, 1, 0, 4, 2, 2, 3, 3, 1, 0, 4, 0, 4, 0, 1, 0, 3, 2, 3, 2, 0, 4, 3, 1, 1, 3, 0, 4, 2, 3, 3, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 4, 3, 3, 3, 0, 0, 1, 2, 4, 3, 4, 1, 1, 4, 4, 3, 2, 4, 4, 2, 3, 1, 4, 2, 4, 2, 1, 1, 4, 3, 1, 4, 4, 4, 4, 3, 0, 4, 4, 2, 4, 3, 3, 2, 1, 0, 2, 1, 0, 3, 2, 4, 3, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1] pubkeycol1493 = [0, 0, 1, 1, 3, 1, 3, 2, 2, 3, 1, 4, 4, 4, 3, 1, 3, 2, 0, 3, 2, 0, 2, 2, 0, 0, 2, 1, 2, 4, 0, 3, 3, 2, 0, 1, 3, 2, 2, 3, 0, 2, 2, 4, 4, 1, 1, 2, 0, 3, 0, 2, 2, 2, 4, 1, 2, 4, 3, 2, 4, 1, 0, 2, 1, 1, 1, 0, 3, 2, 3, 3, 0, 4, 4, 2, 0, 2, 1, 4, 0, 1, 2, 3, 3, 4, 1, 0, 0, 3, 0, 0, 2, 4, 0, 2, 0, 2, 0, 0, 1, 3, 1, 2, 4, 0, 0, 2, 0, 0, 1, 3, 0, 2, 3, 3, 3, 0, 2, 3, 2, 0, 2, 2, 2, 1, 4, 3, 2, 2, 4, 4, 0, 3, 3, 1, 4, 4, 3, 4, 4, 1, 3, 1, 2, 0, 1, 2, 2, 3, 4, 2, 4, 0, 1, 2, 1, 1, 4, 1, 1, 1, 0, 2, 0, 0, 1, 3, 4, 0, 3, 3, 3, 2, 2, 3, 1, 1, 0, 4, 4, 4, 3, 1, 1, 4, 0, 4, 3, 4, 0, 1, 0, 4, 0, 4, 1, 4, 0, 1, 0, 1, 2, 3, 0, 3, 2, 1, 2, 1, 2, 0, 2, 0, 3, 4, 2, 2, 1, 3, 0, 0, 3, 2, 3, 2, 1, 1, 3, 3, 3, 2, 1, 2, 3, 2, 4, 3, 3, 3, 3, 1, 4, 1, 3, 4, 3, 3, 4, 0, 3, 0, 4, 0, 4, 2, 1, 3, 0, 2, 2, 2, 2, 3, 0, 2, 1, 0, 4, 3, 3, 4, 1, 1, 4, 3, 0, 1, 3, 1, 0, 4, 4, 0, 0, 0, 3, 4, 4, 3, 1, 1, 0, 1, 3, 4, 3, 2, 2, 1, 1, 3, 2, 2, 3, 2, 3, 3, 3, 3, 3, 1, 4, 1, 4, 2, 2, 2, 3, 0, 4, 3, 1, 1, 2, 2, 3, 4, 4, 4, 1, 2, 0, 2, 4, 2, 0, 1, 3, 4, 2, 3, 1, 1, 4, 4, 4, 1, 1, 2, 0, 1, 2, 4, 0, 2, 1, 2, 1, 3, 4, 4, 0, 0, 2, 1, 0, 1, 3, 1, 0, 1, 2, 2, 0, 3, 3, 4, 2, 0, 0, 2, 4, 2, 1, 4, 4, 0, 1, 3, 1, 4, 2, 2, 2, 1, 3, 2, 3, 4] pubkeycol1494 = [2, 0, 2, 2, 1, 4, 4, 0, 2, 4, 3, 2, 3, 3, 0, 2, 1, 4, 2, 4, 3, 3, 3, 0, 2, 1, 1, 1, 1, 3, 2, 4, 4, 0, 2, 4, 1, 3, 2, 3, 0, 1, 4, 3, 3, 1, 2, 1, 1, 0, 4, 3, 2, 4, 2, 1, 1, 2, 0, 0, 2, 4, 3, 3, 4, 3, 1, 3, 1, 4, 3, 3, 0, 1, 4, 1, 0, 0, 4, 2, 0, 2, 0, 1, 2, 3, 1, 1, 4, 0, 0, 0, 4, 2, 2, 2, 2, 4, 1, 3, 0, 2, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 4, 0, 3, 0, 4, 2, 0, 2, 4, 1, 4, 0, 4, 1, 1, 2, 1, 4, 1, 0, 3, 0, 3, 2, 4, 0, 1, 1, 1, 2, 0, 3, 0, 1, 1, 1, 1, 0, 2, 1, 0, 3, 0, 1, 1, 0, 2, 2, 0, 2, 3, 2, 1, 3, 2, 2, 0, 4, 3, 0, 2, 3, 1, 2, 4, 0, 2, 0, 2, 1, 4, 3, 4, 3, 1, 1, 0, 4, 2, 4, 0, 0, 3, 1, 1, 0, 0, 2, 3, 2, 0, 1, 3, 4, 3, 1, 1, 3, 3, 2, 2, 4, 0, 0, 0, 1, 0, 1, 1, 1, 3, 0, 3, 4, 2, 4, 2, 0, 4, 2, 0, 0, 0, 2, 3, 3, 4, 2, 4, 1, 4, 3, 1, 4, 1, 3, 4, 1, 4, 3, 4, 0, 4, 2, 1, 0, 1, 1, 3, 3, 1, 0, 4, 0, 3, 0, 4, 0, 3, 3, 1, 4, 0, 4, 3, 3, 3, 4, 1, 0, 3, 3, 1, 1, 4, 2, 0, 3, 3, 3, 4, 2, 2, 0, 4, 4, 4, 3, 3, 4, 3, 1, 4, 3, 1, 4, 1, 2, 0, 2, 4, 1, 4, 2, 3, 2, 1, 3, 0, 0, 1, 2, 0, 2, 3, 1, 2, 3, 2, 3, 0, 2, 2, 3, 0, 1, 3, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 3, 0, 1, 0, 0, 1, 3, 4, 2, 3, 0, 1, 1, 1, 0, 1, 4, 2, 3, 1, 2, 4, 3, 3, 3, 2, 3, 3, 0, 4, 2, 4, 2, 1, 1, 4, 3, 0, 4, 3, 0, 2, 3, 3, 3, 2, 0, 2] pubkeycol1495 = [0, 1, 2, 4, 3, 4, 0, 1, 0, 1, 0, 3, 3, 3, 0, 1, 3, 4, 1, 3, 4, 3, 4, 2, 0, 1, 1, 4, 2, 4, 0, 4, 4, 0, 3, 2, 1, 0, 0, 2, 4, 4, 3, 1, 3, 3, 4, 0, 4, 1, 2, 0, 3, 3, 3, 1, 4, 2, 1, 4, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 4, 2, 0, 2, 0, 2, 3, 1, 2, 0, 1, 4, 1, 0, 4, 4, 4, 4, 3, 2, 1, 1, 1, 2, 3, 1, 2, 0, 1, 2, 4, 4, 4, 3, 0, 2, 3, 4, 4, 0, 0, 1, 0, 1, 2, 0, 3, 4, 0, 3, 1, 0, 3, 4, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 4, 1, 1, 1, 4, 1, 3, 1, 1, 3, 3, 4, 0, 1, 1, 2, 0, 2, 1, 4, 2, 3, 1, 0, 2, 1, 3, 3, 4, 2, 0, 0, 0, 1, 4, 4, 2, 4, 1, 0, 0, 2, 3, 2, 2, 1, 3, 0, 3, 0, 1, 1, 0, 4, 2, 0, 3, 1, 3, 1, 3, 2, 0, 1, 1, 1, 0, 0, 1, 2, 4, 3, 3, 0, 0, 1, 3, 1, 0, 4, 0, 0, 3, 4, 3, 3, 3, 4, 2, 4, 3, 0, 1, 1, 4, 2, 2, 4, 1, 1, 3, 3, 4, 3, 1, 2, 1, 4, 1, 4, 1, 3, 1, 2, 0, 3, 2, 3, 0, 4, 4, 2, 2, 0, 0, 1, 3, 4, 1, 4, 4, 0, 4, 4, 1, 4, 3, 2, 4, 3, 1, 0, 3, 0, 4, 2, 0, 3, 1, 4, 3, 1, 4, 2, 2, 2, 1, 0, 1, 1, 0, 4, 3, 4, 4, 0, 4, 3, 4, 1, 4, 2, 2, 3, 2, 3, 1, 3, 2, 1, 4, 0, 1, 3, 1, 0, 4, 3, 1, 1, 4, 4, 0, 2, 3, 3, 4, 0, 0, 0, 1, 4, 4, 4, 3, 4, 0, 1, 0, 1, 4, 3, 4, 1, 2, 3, 0, 4, 3, 3, 3, 3, 3, 2, 2, 3, 2, 1, 1, 2, 4, 0, 2, 4, 4, 4, 4, 3, 3, 4, 1, 1, 4, 4, 0, 4, 0, 4, 1, 0, 4, 2, 3, 1, 4, 1, 4, 0] pubkeycol1496 = [2, 3, 2, 3, 3, 1, 3, 1, 4, 1, 0, 1, 1, 0, 3, 3, 0, 3, 3, 4, 2, 0, 2, 0, 4, 4, 3, 2, 4, 0, 0, 2, 3, 4, 3, 3, 4, 2, 4, 1, 0, 2, 0, 4, 4, 0, 0, 1, 0, 0, 4, 3, 2, 2, 2, 3, 1, 3, 1, 2, 2, 1, 1, 4, 3, 2, 4, 0, 0, 2, 0, 3, 0, 0, 3, 3, 2, 3, 2, 1, 4, 3, 1, 0, 3, 4, 0, 3, 3, 4, 4, 1, 4, 1, 3, 0, 1, 3, 4, 3, 4, 4, 0, 1, 1, 1, 4, 0, 4, 1, 4, 0, 2, 3, 3, 1, 0, 1, 4, 4, 2, 3, 3, 3, 4, 0, 4, 0, 1, 0, 3, 4, 4, 0, 4, 4, 3, 0, 1, 0, 3, 4, 1, 1, 2, 4, 2, 3, 4, 1, 2, 0, 3, 2, 4, 3, 4, 0, 2, 0, 2, 4, 1, 3, 2, 3, 4, 3, 3, 1, 1, 1, 3, 4, 4, 3, 3, 2, 0, 2, 3, 1, 2, 1, 2, 4, 4, 0, 4, 3, 1, 0, 4, 2, 4, 3, 2, 4, 1, 0, 3, 2, 4, 4, 3, 3, 4, 0, 1, 1, 3, 4, 3, 4, 2, 1, 0, 1, 2, 2, 2, 4, 1, 4, 3, 0, 1, 2, 1, 1, 3, 0, 0, 4, 2, 3, 4, 2, 3, 4, 1, 1, 0, 1, 3, 3, 1, 4, 0, 0, 4, 3, 4, 2, 2, 0, 2, 2, 0, 2, 3, 0, 2, 1, 3, 3, 2, 4, 1, 3, 1, 0, 0, 2, 1, 0, 1, 4, 1, 1, 1, 0, 1, 1, 4, 0, 2, 1, 1, 3, 1, 4, 2, 0, 3, 2, 2, 2, 2, 3, 3, 1, 4, 4, 2, 4, 4, 0, 3, 3, 0, 3, 4, 1, 1, 3, 0, 1, 0, 2, 1, 2, 2, 4, 0, 4, 4, 2, 2, 2, 1, 3, 0, 3, 2, 4, 1, 4, 1, 2, 3, 4, 2, 2, 2, 2, 1, 4, 1, 0, 1, 2, 1, 0, 1, 1, 4, 0, 1, 3, 4, 2, 0, 2, 0, 4, 2, 4, 3, 1, 2, 4, 0, 4, 4, 2, 3, 1, 4, 1, 1, 3, 2, 0, 2, 3, 0, 2, 4, 4, 3, 4, 3, 0, 4, 3, 3, 0, 1, 0] pubkeycol1497 = [0, 1, 1, 4, 1, 0, 0, 1, 1, 3, 4, 1, 3, 2, 1, 0, 3, 3, 1, 4, 2, 4, 2, 0, 1, 4, 3, 3, 4, 3, 0, 1, 3, 2, 1, 2, 3, 4, 4, 4, 4, 3, 1, 2, 4, 4, 1, 2, 4, 4, 1, 3, 1, 2, 2, 4, 3, 1, 1, 4, 4, 0, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 4, 1, 3, 3, 2, 0, 2, 3, 2, 4, 4, 2, 1, 2, 4, 4, 0, 4, 1, 0, 2, 4, 3, 4, 1, 0, 0, 4, 3, 4, 0, 0, 1, 4, 0, 1, 0, 0, 0, 3, 3, 0, 3, 4, 1, 3, 4, 3, 2, 3, 0, 3, 1, 2, 2, 0, 4, 2, 2, 0, 1, 3, 0, 4, 4, 4, 4, 2, 4, 4, 3, 2, 2, 0, 3, 4, 2, 2, 1, 1, 0, 2, 0, 4, 4, 4, 0, 3, 2, 4, 4, 0, 4, 0, 4, 2, 1, 2, 2, 1, 3, 1, 4, 4, 3, 4, 4, 4, 0, 0, 4, 4, 3, 2, 0, 1, 2, 4, 3, 4, 4, 1, 1, 4, 1, 3, 1, 1, 4, 4, 0, 2, 4, 4, 4, 1, 4, 3, 1, 2, 2, 2, 1, 3, 0, 4, 1, 1, 3, 4, 0, 4, 3, 3, 2, 0, 0, 1, 4, 4, 2, 3, 1, 0, 1, 1, 3, 0, 1, 4, 1, 3, 0, 4, 4, 3, 4, 0, 1, 1, 3, 4, 4, 2, 0, 1, 0, 1, 4, 2, 0, 2, 1, 0, 3, 1, 2, 4, 2, 4, 3, 1, 3, 1, 4, 4, 2, 4, 1, 0, 3, 0, 1, 0, 0, 2, 2, 0, 4, 0, 1, 3, 1, 3, 0, 2, 4, 3, 0, 4, 4, 0, 4, 4, 0, 4, 2, 3, 4, 2, 3, 2, 2, 3, 0, 1, 3, 0, 0, 2, 1, 0, 0, 1, 1, 3, 2, 3, 4, 4, 0, 3, 0, 0, 0, 1, 4, 4, 3, 4, 2, 2, 0, 4, 4, 4, 2, 0, 3, 0, 2, 3, 1, 1, 4, 2, 3, 1, 0, 3, 4, 4, 2, 2, 0, 2, 3, 0, 3, 4, 3, 1, 1, 1, 3, 2, 4, 1, 3, 0, 1, 3, 3, 3, 0, 2, 2, 0, 3, 4, 1, 2, 2, 0, 2, 4, 3, 4] pubkeycol1498 = [1, 4, 4, 0, 2, 3, 1, 0, 3, 0, 2, 4, 3, 4, 0, 0, 4, 2, 2, 3, 2, 2, 1, 3, 4, 3, 2, 1, 1, 0, 0, 1, 4, 1, 2, 3, 0, 3, 4, 4, 1, 1, 2, 0, 1, 3, 2, 3, 4, 3, 1, 0, 1, 0, 0, 4, 3, 2, 4, 0, 3, 1, 1, 1, 3, 1, 1, 2, 2, 3, 3, 2, 3, 0, 2, 4, 2, 4, 3, 1, 1, 1, 4, 1, 0, 2, 2, 3, 2, 4, 3, 2, 1, 2, 2, 4, 4, 3, 2, 0, 4, 1, 2, 1, 0, 4, 4, 3, 2, 3, 4, 2, 3, 2, 1, 2, 2, 3, 2, 0, 1, 4, 3, 4, 1, 2, 3, 0, 1, 0, 2, 1, 4, 1, 1, 1, 0, 0, 1, 4, 0, 3, 1, 3, 3, 4, 0, 3, 3, 4, 0, 2, 0, 4, 1, 1, 3, 4, 1, 1, 3, 4, 2, 1, 3, 3, 3, 1, 3, 0, 1, 2, 0, 3, 2, 1, 2, 2, 1, 4, 3, 0, 2, 0, 4, 2, 4, 4, 0, 0, 2, 0, 4, 2, 1, 1, 3, 3, 4, 0, 0, 0, 3, 1, 0, 2, 0, 4, 0, 3, 3, 1, 3, 4, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 3, 2, 4, 2, 1, 0, 1, 3, 0, 4, 3, 1, 4, 2, 3, 4, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 3, 2, 2, 3, 4, 1, 0, 3, 2, 1, 0, 0, 3, 2, 2, 2, 4, 2, 2, 0, 1, 3, 2, 1, 4, 0, 2, 1, 1, 3, 2, 0, 2, 0, 4, 4, 3, 1, 2, 3, 3, 4, 3, 1, 1, 1, 1, 4, 2, 2, 4, 4, 0, 3, 1, 3, 0, 4, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 4, 3, 1, 2, 1, 3, 4, 4, 1, 1, 0, 1, 1, 4, 1, 4, 4, 1, 0, 4, 1, 0, 4, 3, 4, 2, 0, 4, 2, 0, 4, 1, 0, 4, 4, 1, 0, 1, 4, 1, 2, 0, 1, 4, 2, 2, 3, 2, 4, 3, 0, 2, 2, 1, 3, 3, 4, 4, 4, 0, 0, 2, 2, 4, 1, 3, 3, 3, 3, 0, 4, 4, 3, 0, 2, 3, 2, 3, 1, 4] pubkeycol1499 = [0, 3, 0, 2, 2, 3, 4, 2, 4, 0, 2, 3, 0, 2, 2, 0, 2, 4, 2, 3, 2, 2, 1, 4, 3, 2, 4, 0, 2, 4, 2, 0, 3, 3, 3, 4, 4, 1, 4, 0, 4, 4, 3, 1, 3, 0, 2, 2, 4, 0, 1, 3, 1, 1, 0, 4, 4, 0, 2, 3, 1, 1, 2, 0, 3, 2, 3, 0, 0, 3, 4, 3, 1, 4, 4, 2, 1, 2, 1, 2, 3, 2, 1, 3, 0, 3, 3, 0, 2, 4, 4, 1, 3, 2, 1, 1, 0, 1, 4, 4, 1, 0, 0, 3, 1, 0, 0, 1, 0, 2, 3, 0, 0, 2, 3, 0, 1, 0, 2, 1, 4, 3, 2, 1, 4, 1, 4, 2, 2, 4, 1, 4, 1, 0, 4, 3, 1, 4, 0, 2, 3, 1, 3, 1, 2, 4, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 4, 3, 1, 1, 3, 3, 3, 0, 0, 1, 2, 4, 3, 0, 2, 2, 3, 1, 3, 3, 3, 4, 1, 4, 1, 2, 2, 3, 0, 3, 2, 3, 1, 3, 0, 1, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 0, 0, 3, 4, 4, 2, 2, 1, 0, 3, 0, 3, 4, 4, 3, 0, 2, 1, 4, 3, 0, 3, 1, 3, 3, 0, 2, 2, 2, 2, 4, 1, 4, 3, 3, 0, 0, 3, 0, 3, 1, 4, 4, 4, 2, 0, 2, 1, 4, 0, 2, 0, 3, 4, 2, 3, 0, 2, 0, 1, 4, 0, 1, 0, 3, 1, 0, 2, 0, 0, 0, 1, 3, 3, 2, 4, 1, 3, 3, 3, 2, 0, 4, 2, 1, 3, 2, 0, 4, 1, 2, 2, 0, 1, 3, 1, 1, 0, 0, 2, 4, 0, 3, 1, 1, 4, 3, 0, 1, 0, 4, 0, 3, 1, 3, 0, 0, 2, 4, 3, 2, 2, 3, 0, 2, 0, 3, 4, 0, 1, 0, 0, 1, 1, 2, 3, 4, 0, 1, 4, 0, 3, 2, 1, 3, 1, 2, 1, 1, 1, 1, 4, 1, 4, 2, 1, 2, 0, 0, 4, 3, 3, 0, 0, 4, 0, 4, 0, 2, 2, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 1, 1, 2, 2, 0, 0, 2, 4, 0, 4, 4, 3, 2, 2, 4, 0, 4, 3] pubkeycol1500 = [1, 1, 4, 2, 2, 4, 3, 4, 2, 1, 4, 0, 1, 0, 1, 1, 3, 2, 0, 4, 3, 4, 0, 3, 2, 3, 1, 1, 2, 0, 0, 3, 4, 1, 4, 2, 2, 3, 4, 0, 2, 4, 0, 3, 1, 0, 2, 2, 4, 2, 4, 4, 3, 0, 4, 3, 1, 1, 4, 0, 0, 4, 4, 2, 2, 4, 4, 4, 1, 2, 1, 3, 4, 2, 3, 1, 0, 0, 4, 3, 2, 2, 2, 2, 4, 3, 4, 0, 1, 1, 1, 0, 2, 1, 1, 4, 4, 0, 4, 2, 4, 1, 3, 1, 3, 2, 4, 0, 4, 1, 1, 2, 0, 4, 1, 3, 0, 0, 4, 0, 3, 1, 0, 4, 1, 0, 4, 1, 2, 4, 0, 2, 0, 4, 2, 3, 3, 3, 4, 3, 0, 1, 3, 1, 1, 0, 2, 1, 0, 0, 2, 3, 2, 0, 2, 1, 2, 2, 2, 4, 2, 1, 0, 4, 0, 1, 0, 2, 4, 4, 2, 3, 3, 0, 1, 1, 3, 0, 1, 0, 4, 2, 1, 1, 3, 2, 1, 3, 2, 1, 2, 4, 1, 2, 4, 3, 1, 1, 3, 1, 3, 4, 4, 4, 0, 1, 4, 3, 2, 3, 4, 2, 4, 1, 1, 3, 1, 4, 3, 0, 4, 2, 0, 4, 4, 2, 0, 3, 2, 3, 1, 3, 4, 2, 2, 3, 3, 3, 3, 2, 3, 2, 1, 1, 4, 1, 0, 4, 3, 3, 1, 2, 0, 4, 1, 2, 0, 3, 3, 4, 1, 1, 4, 3, 3, 3, 3, 0, 3, 1, 0, 2, 3, 2, 2, 4, 0, 1, 4, 2, 2, 0, 4, 4, 0, 0, 2, 1, 1, 4, 1, 2, 3, 3, 2, 1, 4, 0, 3, 0, 2, 3, 1, 2, 2, 4, 0, 1, 2, 3, 4, 2, 1, 0, 2, 1, 0, 3, 2, 3, 1, 2, 3, 2, 0, 0, 0, 0, 0, 4, 1, 0, 1, 3, 3, 1, 4, 3, 1, 4, 0, 2, 4, 4, 3, 4, 4, 4, 4, 2, 0, 4, 3, 0, 0, 4, 4, 0, 0, 4, 3, 1, 2, 4, 1, 4, 2, 1, 0, 4, 2, 0, 1, 1, 0, 1, 2, 1, 0, 3, 2, 3, 0, 2, 3, 3, 1, 1, 3, 0, 0, 2, 3, 0, 3, 3, 3, 2, 1, 4] pubkeycol1501 = [3, 1, 4, 4, 3, 2, 0, 4, 3, 4, 1, 0, 0, 1, 2, 3, 3, 3, 4, 2, 2, 1, 2, 3, 1, 0, 4, 1, 3, 0, 4, 4, 1, 2, 3, 4, 2, 1, 1, 2, 3, 2, 3, 4, 0, 2, 3, 3, 2, 4, 0, 0, 2, 1, 3, 1, 0, 1, 2, 1, 4, 1, 4, 2, 3, 2, 1, 0, 0, 4, 0, 3, 4, 4, 3, 2, 4, 0, 3, 2, 3, 2, 1, 3, 1, 0, 1, 3, 4, 2, 1, 0, 3, 4, 3, 4, 0, 4, 3, 2, 4, 2, 1, 3, 0, 3, 1, 1, 1, 0, 3, 1, 2, 2, 3, 0, 3, 2, 3, 1, 0, 2, 0, 4, 1, 4, 2, 4, 3, 1, 1, 0, 3, 1, 1, 4, 0, 0, 4, 4, 1, 0, 3, 3, 0, 1, 3, 0, 0, 3, 1, 1, 4, 4, 4, 1, 2, 3, 1, 2, 4, 0, 3, 1, 3, 3, 0, 2, 3, 4, 4, 3, 1, 1, 1, 2, 3, 2, 0, 4, 0, 0, 1, 3, 1, 1, 1, 2, 1, 3, 0, 2, 3, 3, 1, 2, 1, 3, 4, 3, 2, 1, 0, 3, 4, 1, 3, 1, 1, 2, 2, 1, 3, 4, 2, 3, 3, 3, 4, 0, 2, 1, 3, 3, 0, 0, 0, 2, 3, 4, 3, 3, 2, 4, 2, 0, 4, 0, 1, 1, 3, 2, 1, 4, 3, 3, 1, 4, 3, 2, 2, 3, 1, 0, 3, 2, 4, 3, 3, 0, 0, 3, 3, 4, 1, 2, 1, 4, 0, 2, 2, 4, 2, 3, 0, 2, 3, 1, 3, 1, 4, 0, 0, 1, 1, 4, 0, 2, 2, 4, 1, 0, 1, 3, 3, 4, 0, 0, 0, 1, 4, 2, 2, 1, 2, 0, 2, 0, 3, 3, 3, 3, 3, 4, 4, 3, 1, 2, 1, 4, 2, 2, 4, 4, 2, 4, 3, 4, 2, 0, 4, 4, 3, 1, 3, 3, 1, 4, 2, 2, 3, 0, 2, 1, 0, 1, 0, 0, 4, 2, 2, 4, 0, 0, 1, 3, 0, 1, 1, 1, 1, 3, 4, 4, 2, 1, 2, 4, 4, 1, 3, 2, 2, 3, 0, 3, 4, 2, 1, 0, 4, 4, 1, 2, 2, 2, 1, 1, 3, 3, 2, 0, 4, 3, 1, 1, 2, 4, 0, 0] pubkeycol1502 = [2, 1, 1, 0, 1, 2, 0, 1, 2, 4, 3, 0, 1, 3, 2, 0, 0, 1, 4, 1, 0, 4, 3, 4, 0, 0, 4, 2, 4, 4, 1, 0, 4, 3, 0, 3, 1, 3, 3, 0, 0, 1, 3, 4, 4, 1, 4, 1, 3, 2, 4, 3, 1, 2, 2, 4, 4, 4, 4, 3, 1, 1, 2, 1, 3, 0, 4, 2, 0, 4, 0, 2, 1, 3, 4, 4, 3, 3, 0, 0, 3, 0, 3, 1, 3, 0, 0, 3, 2, 3, 4, 3, 4, 0, 4, 1, 0, 4, 2, 4, 2, 0, 1, 0, 3, 2, 3, 0, 4, 0, 3, 3, 1, 1, 1, 4, 3, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 3, 2, 4, 2, 3, 2, 1, 3, 1, 3, 2, 0, 1, 2, 2, 0, 0, 3, 2, 4, 2, 4, 2, 4, 0, 0, 3, 4, 4, 1, 2, 0, 4, 3, 4, 0, 0, 1, 3, 1, 4, 4, 2, 2, 3, 3, 0, 2, 0, 2, 4, 0, 4, 3, 1, 2, 1, 1, 0, 0, 1, 4, 2, 1, 4, 1, 4, 3, 3, 4, 3, 0, 3, 3, 4, 3, 0, 1, 0, 4, 1, 3, 2, 4, 1, 3, 4, 0, 0, 4, 0, 1, 1, 1, 1, 1, 3, 3, 0, 4, 2, 4, 0, 3, 1, 1, 3, 2, 4, 2, 3, 0, 2, 0, 3, 0, 0, 1, 0, 4, 4, 4, 3, 0, 1, 0, 2, 0, 1, 2, 3, 1, 1, 3, 4, 2, 3, 2, 1, 0, 2, 2, 4, 3, 4, 2, 3, 1, 4, 4, 1, 1, 2, 3, 1, 3, 0, 3, 2, 0, 2, 4, 1, 2, 3, 2, 2, 3, 0, 2, 2, 1, 4, 2, 0, 2, 4, 2, 4, 2, 2, 3, 0, 2, 2, 0, 2, 2, 1, 3, 0, 3, 0, 3, 4, 1, 0, 4, 0, 1, 2, 1, 4, 4, 3, 1, 4, 2, 0, 3, 0, 2, 2, 2, 1, 0, 2, 0, 2, 3, 4, 2, 1, 4, 2, 1, 3, 1, 2, 3, 2, 4, 1, 0, 0, 2, 0, 0, 0, 4, 0, 1, 2, 4, 4, 0, 1, 1, 2, 1, 3, 1, 3, 4, 3, 4, 2, 2, 3, 1, 4, 2, 1, 4, 2, 1, 2, 4, 1, 2, 4, 2, 4] pubkeycol1503 = [0, 1, 1, 0, 2, 4, 1, 4, 1, 1, 0, 4, 1, 1, 1, 4, 2, 0, 0, 4, 4, 3, 0, 3, 4, 2, 0, 0, 2, 1, 2, 3, 0, 2, 2, 3, 1, 3, 0, 0, 0, 2, 2, 0, 0, 4, 0, 0, 4, 3, 3, 0, 4, 1, 1, 2, 3, 3, 2, 0, 4, 1, 1, 4, 1, 0, 1, 4, 0, 1, 0, 4, 4, 3, 2, 4, 4, 3, 2, 3, 4, 3, 1, 3, 3, 2, 2, 1, 0, 0, 3, 1, 1, 2, 1, 3, 3, 0, 4, 1, 1, 1, 1, 3, 3, 2, 4, 4, 4, 2, 2, 1, 0, 1, 0, 2, 0, 4, 1, 2, 4, 2, 1, 4, 3, 2, 1, 2, 3, 0, 3, 4, 4, 2, 2, 2, 1, 0, 2, 2, 3, 3, 4, 0, 2, 0, 4, 3, 1, 3, 0, 4, 1, 0, 4, 4, 2, 2, 3, 1, 2, 0, 2, 3, 2, 4, 3, 2, 2, 1, 1, 0, 1, 1, 3, 3, 4, 4, 2, 0, 2, 2, 4, 4, 2, 3, 4, 0, 1, 3, 1, 4, 2, 0, 2, 4, 1, 2, 3, 1, 4, 0, 4, 0, 2, 3, 2, 2, 2, 0, 3, 4, 4, 3, 0, 0, 2, 1, 2, 2, 2, 4, 3, 1, 3, 1, 1, 0, 4, 2, 0, 0, 0, 2, 4, 3, 2, 0, 4, 4, 2, 2, 0, 4, 1, 4, 3, 1, 3, 3, 4, 3, 1, 2, 1, 1, 2, 1, 4, 2, 0, 4, 1, 4, 3, 4, 0, 3, 1, 2, 0, 3, 1, 3, 2, 0, 4, 1, 0, 1, 4, 3, 0, 2, 3, 1, 1, 3, 2, 0, 1, 0, 0, 3, 1, 3, 2, 2, 3, 4, 4, 2, 3, 3, 1, 2, 4, 1, 0, 1, 2, 1, 2, 0, 3, 4, 3, 2, 3, 3, 4, 1, 0, 3, 0, 3, 2, 3, 3, 3, 4, 2, 4, 3, 4, 3, 4, 1, 4, 3, 2, 0, 3, 1, 2, 1, 4, 4, 3, 3, 1, 4, 4, 1, 0, 4, 4, 0, 2, 0, 4, 0, 0, 4, 4, 0, 1, 2, 0, 0, 3, 4, 4, 0, 3, 3, 3, 4, 0, 4, 0, 3, 4, 4, 4, 0, 1, 3, 4, 4, 4, 2, 4, 2, 2, 4, 1, 1, 1, 0] pubkeycol1504 = [2, 3, 2, 2, 4, 1, 3, 4, 4, 3, 0, 1, 3, 4, 3, 0, 4, 3, 4, 3, 1, 3, 3, 3, 4, 2, 4, 0, 1, 1, 1, 3, 1, 0, 4, 1, 3, 2, 3, 0, 0, 1, 0, 4, 2, 0, 4, 0, 2, 4, 0, 3, 1, 4, 1, 2, 1, 4, 1, 4, 2, 2, 1, 3, 3, 1, 0, 3, 4, 1, 4, 2, 1, 4, 2, 3, 1, 4, 2, 2, 2, 3, 4, 2, 3, 1, 1, 1, 0, 1, 3, 3, 1, 4, 3, 0, 0, 3, 0, 2, 2, 4, 3, 2, 1, 1, 3, 3, 2, 3, 2, 1, 4, 3, 0, 0, 0, 3, 0, 0, 4, 0, 3, 1, 3, 3, 2, 4, 0, 4, 2, 1, 1, 4, 2, 2, 2, 4, 4, 4, 2, 3, 1, 1, 1, 4, 0, 0, 4, 3, 1, 3, 2, 0, 4, 4, 2, 3, 3, 1, 3, 3, 4, 3, 2, 0, 0, 2, 0, 4, 0, 2, 4, 3, 1, 1, 3, 2, 2, 0, 4, 1, 0, 1, 4, 4, 0, 4, 3, 4, 3, 1, 3, 2, 3, 4, 4, 3, 0, 4, 2, 1, 0, 0, 1, 3, 0, 3, 1, 1, 1, 1, 0, 1, 1, 1, 0, 3, 3, 2, 4, 1, 1, 2, 4, 2, 3, 1, 2, 0, 0, 1, 2, 2, 3, 4, 1, 0, 0, 3, 0, 4, 2, 4, 0, 1, 3, 3, 0, 0, 2, 0, 1, 3, 0, 3, 0, 2, 2, 2, 0, 4, 2, 3, 1, 4, 3, 3, 3, 3, 2, 2, 1, 3, 0, 2, 2, 3, 2, 3, 2, 3, 2, 4, 0, 2, 4, 4, 0, 0, 1, 1, 2, 0, 2, 1, 4, 1, 4, 4, 4, 1, 3, 3, 0, 3, 4, 2, 3, 0, 4, 3, 1, 0, 2, 1, 4, 2, 4, 3, 3, 3, 3, 2, 2, 4, 0, 4, 4, 3, 0, 2, 0, 4, 2, 1, 3, 3, 0, 3, 1, 3, 1, 3, 0, 0, 3, 0, 3, 4, 2, 1, 4, 1, 0, 4, 0, 4, 2, 3, 0, 4, 0, 3, 2, 3, 3, 0, 3, 2, 3, 4, 2, 4, 1, 0, 1, 1, 2, 0, 0, 0, 4, 3, 2, 3, 1, 3, 0, 1, 4, 0, 0, 3, 4, 3, 2, 4, 3, 3] pubkeycol1505 = [0, 2, 3, 4, 3, 1, 2, 4, 0, 4, 2, 4, 2, 0, 3, 3, 4, 1, 0, 3, 3, 1, 2, 2, 2, 1, 4, 3, 0, 0, 3, 0, 1, 1, 2, 3, 3, 1, 3, 1, 1, 4, 0, 0, 2, 4, 1, 1, 3, 1, 3, 1, 3, 4, 2, 1, 0, 2, 3, 0, 2, 3, 0, 0, 4, 4, 0, 2, 4, 0, 1, 4, 4, 3, 3, 0, 1, 2, 1, 2, 2, 3, 3, 1, 0, 0, 3, 1, 2, 1, 2, 2, 3, 1, 0, 2, 4, 3, 3, 2, 2, 3, 4, 2, 0, 0, 2, 4, 2, 3, 3, 2, 1, 0, 3, 0, 3, 0, 0, 3, 0, 4, 0, 0, 4, 2, 0, 2, 3, 0, 2, 0, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 4, 4, 3, 3, 4, 2, 4, 2, 1, 1, 4, 3, 3, 0, 3, 2, 2, 3, 0, 0, 0, 1, 0, 3, 4, 3, 0, 2, 2, 1, 0, 4, 1, 0, 2, 2, 3, 1, 4, 2, 2, 0, 0, 2, 4, 4, 4, 2, 3, 0, 4, 3, 4, 4, 0, 2, 2, 4, 1, 1, 2, 4, 1, 0, 2, 4, 2, 3, 4, 4, 2, 0, 2, 4, 1, 4, 2, 3, 3, 0, 1, 4, 1, 3, 2, 0, 4, 2, 1, 3, 0, 0, 2, 1, 2, 0, 3, 0, 4, 4, 1, 1, 3, 2, 1, 3, 0, 2, 2, 1, 1, 2, 1, 4, 1, 1, 3, 1, 1, 1, 0, 0, 3, 1, 0, 3, 3, 2, 1, 0, 2, 2, 4, 2, 3, 0, 3, 4, 3, 2, 2, 0, 0, 2, 1, 4, 4, 1, 3, 4, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 4, 2, 0, 2, 0, 2, 3, 4, 1, 3, 4, 0, 2, 2, 0, 4, 1, 1, 4, 0, 1, 2, 1, 1, 1, 2, 3, 1, 2, 0, 1, 3, 4, 2, 2, 0, 0, 2, 3, 3, 0, 4, 2, 3, 1, 4, 0, 4, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 4, 3, 0, 4, 4, 3, 1, 2, 3, 1, 1, 4, 0, 1, 1, 1, 4, 1, 3, 3, 1, 1, 4, 2, 0, 1, 3, 4, 2, 4, 3, 3] pubkeycol1506 = [2, 2, 3, 2, 1, 1, 2, 3, 4, 3, 4, 0, 4, 0, 1, 3, 2, 2, 0, 2, 4, 3, 4, 0, 3, 1, 3, 0, 4, 4, 2, 1, 4, 1, 4, 4, 3, 4, 0, 4, 4, 1, 3, 1, 2, 1, 4, 2, 4, 0, 4, 2, 2, 0, 0, 2, 3, 1, 2, 2, 0, 3, 4, 3, 1, 4, 0, 0, 1, 2, 2, 1, 0, 1, 0, 3, 2, 4, 1, 0, 1, 4, 1, 0, 2, 3, 0, 3, 4, 4, 3, 1, 2, 4, 4, 2, 2, 1, 1, 4, 2, 3, 4, 2, 3, 2, 4, 4, 3, 3, 3, 3, 3, 4, 3, 2, 0, 4, 2, 2, 1, 0, 2, 2, 0, 4, 1, 3, 0, 4, 2, 0, 3, 3, 4, 0, 2, 2, 4, 3, 3, 1, 3, 2, 3, 4, 2, 4, 0, 1, 3, 2, 3, 3, 0, 0, 1, 0, 4, 0, 2, 1, 0, 0, 1, 4, 2, 2, 2, 0, 2, 3, 2, 4, 1, 2, 0, 2, 3, 4, 3, 3, 2, 0, 3, 0, 3, 4, 0, 2, 4, 4, 4, 1, 0, 2, 4, 4, 0, 4, 4, 4, 2, 3, 0, 4, 1, 4, 2, 2, 3, 0, 4, 0, 4, 4, 3, 0, 4, 1, 0, 4, 3, 4, 1, 2, 2, 2, 0, 3, 0, 0, 3, 0, 4, 2, 4, 2, 3, 0, 2, 1, 4, 0, 4, 2, 3, 1, 0, 3, 2, 2, 4, 0, 4, 0, 4, 4, 4, 0, 1, 1, 0, 4, 1, 0, 0, 2, 0, 0, 1, 3, 2, 3, 4, 0, 4, 3, 3, 4, 3, 0, 2, 2, 0, 0, 4, 2, 2, 0, 3, 4, 1, 4, 4, 2, 2, 2, 2, 0, 1, 2, 4, 3, 1, 0, 4, 1, 1, 1, 0, 3, 2, 0, 2, 2, 3, 2, 4, 4, 3, 3, 4, 4, 4, 1, 3, 3, 2, 1, 4, 1, 3, 3, 0, 3, 4, 2, 0, 2, 4, 0, 3, 3, 2, 4, 1, 3, 3, 3, 3, 2, 4, 4, 4, 0, 4, 3, 3, 0, 3, 4, 0, 0, 2, 3, 2, 1, 2, 2, 3, 0, 0, 4, 3, 3, 1, 0, 4, 3, 2, 3, 4, 4, 2, 1, 4, 4, 1, 3, 1, 3, 1, 4, 0, 0, 4, 3, 0, 3] pubkeycol1507 = [1, 2, 2, 3, 4, 3, 3, 0, 3, 4, 3, 0, 1, 1, 1, 2, 4, 3, 0, 0, 0, 2, 1, 4, 3, 1, 2, 4, 1, 1, 4, 0, 4, 1, 3, 4, 1, 3, 3, 2, 3, 1, 4, 3, 2, 3, 2, 2, 0, 0, 1, 4, 3, 2, 0, 3, 3, 4, 2, 0, 2, 4, 3, 1, 1, 1, 1, 2, 4, 3, 1, 4, 3, 3, 3, 0, 2, 0, 0, 1, 0, 1, 2, 2, 3, 0, 4, 3, 1, 4, 4, 3, 2, 4, 3, 1, 1, 3, 4, 2, 3, 2, 3, 4, 2, 4, 2, 1, 4, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 4, 4, 1, 2, 0, 0, 1, 2, 0, 1, 0, 3, 4, 3, 3, 3, 2, 3, 0, 1, 0, 3, 0, 3, 0, 4, 3, 1, 2, 1, 1, 2, 1, 1, 2, 0, 4, 4, 1, 4, 2, 3, 3, 0, 2, 2, 0, 1, 3, 1, 3, 2, 2, 0, 1, 1, 0, 1, 3, 3, 1, 4, 3, 3, 1, 3, 2, 4, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 0, 3, 1, 4, 0, 0, 3, 0, 0, 2, 4, 0, 1, 1, 3, 0, 0, 2, 2, 1, 1, 3, 0, 3, 1, 0, 0, 3, 1, 3, 4, 2, 3, 0, 3, 0, 2, 0, 0, 0, 3, 2, 2, 3, 1, 2, 2, 4, 1, 4, 2, 0, 0, 2, 1, 4, 2, 1, 1, 4, 3, 3, 0, 4, 2, 4, 0, 1, 2, 2, 4, 3, 2, 3, 2, 1, 2, 3, 2, 3, 0, 3, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 2, 3, 4, 2, 4, 4, 4, 2, 0, 2, 2, 2, 4, 1, 2, 3, 1, 1, 1, 3, 0, 3, 4, 1, 3, 0, 0, 2, 0, 3, 0, 0, 1, 4, 4, 1, 0, 2, 3, 0, 4, 4, 0, 4, 2, 1, 1, 2, 3, 4, 1, 3, 3, 1, 3, 0, 0, 1, 1, 3, 2, 0, 1, 3, 3, 2, 2, 2, 1, 4, 4, 3, 2, 0, 2, 4, 4, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 2, 2, 4, 2, 3, 4, 0, 3, 3, 0, 2, 1, 1, 2, 4, 3, 1, 2, 1] pubkeycol1508 = [1, 3, 2, 1, 3, 4, 1, 0, 2, 3, 3, 4, 0, 4, 4, 4, 2, 0, 1, 0, 0, 2, 4, 4, 0, 2, 4, 4, 1, 0, 2, 2, 3, 4, 0, 2, 2, 1, 2, 1, 4, 0, 3, 3, 4, 2, 2, 3, 4, 0, 1, 0, 4, 3, 3, 0, 4, 4, 0, 3, 4, 1, 3, 3, 3, 2, 0, 1, 4, 0, 1, 3, 1, 3, 0, 0, 4, 3, 0, 2, 2, 4, 3, 1, 0, 1, 0, 0, 3, 2, 3, 0, 3, 4, 3, 1, 2, 1, 4, 4, 2, 2, 2, 4, 4, 2, 2, 3, 2, 4, 3, 2, 3, 1, 4, 0, 1, 2, 1, 3, 1, 2, 1, 2, 4, 0, 4, 3, 2, 4, 4, 3, 4, 1, 4, 3, 3, 3, 2, 4, 3, 3, 0, 0, 0, 4, 4, 0, 4, 0, 3, 2, 4, 4, 4, 4, 4, 2, 1, 4, 3, 0, 2, 4, 3, 2, 3, 4, 3, 4, 4, 3, 4, 3, 3, 2, 1, 0, 0, 0, 3, 4, 1, 0, 3, 1, 2, 1, 0, 1, 0, 3, 3, 4, 0, 2, 2, 4, 2, 4, 3, 1, 3, 1, 3, 2, 3, 2, 0, 1, 0, 0, 4, 1, 2, 1, 0, 3, 3, 2, 0, 4, 0, 2, 1, 3, 0, 2, 3, 4, 4, 3, 4, 0, 3, 1, 3, 2, 1, 4, 0, 3, 4, 2, 2, 2, 3, 0, 4, 1, 1, 2, 4, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 2, 0, 4, 3, 4, 2, 4, 3, 3, 3, 3, 2, 0, 1, 2, 2, 0, 3, 3, 1, 1, 0, 4, 0, 4, 2, 3, 4, 4, 3, 2, 1, 1, 1, 3, 3, 4, 0, 4, 4, 2, 2, 4, 4, 2, 0, 0, 3, 1, 0, 4, 0, 2, 4, 0, 2, 2, 3, 2, 4, 0, 0, 4, 3, 2, 1, 3, 4, 2, 4, 2, 0, 4, 1, 0, 1, 2, 3, 2, 3, 1, 0, 0, 2, 3, 0, 4, 1, 0, 0, 1, 2, 2, 2, 0, 4, 1, 4, 0, 2, 0, 3, 2, 3, 4, 4, 1, 3, 0, 3, 4, 4, 0, 4, 4, 3, 3, 2, 4, 2, 2, 0, 3, 0, 2, 4, 1, 4, 4, 2, 4, 3, 3, 4, 1, 1, 2] pubkeycol1509 = [4, 2, 4, 4, 2, 3, 2, 3, 0, 2, 1, 1, 3, 0, 2, 3, 0, 0, 1, 0, 1, 3, 4, 0, 0, 0, 2, 3, 0, 1, 3, 0, 0, 3, 0, 4, 1, 1, 3, 0, 4, 2, 4, 2, 2, 4, 4, 0, 2, 3, 0, 4, 2, 0, 0, 3, 1, 2, 0, 2, 1, 2, 2, 4, 2, 4, 3, 0, 4, 0, 1, 1, 3, 4, 3, 0, 1, 3, 3, 2, 0, 2, 3, 1, 1, 4, 2, 4, 1, 3, 2, 4, 2, 1, 2, 0, 3, 1, 2, 4, 0, 0, 3, 1, 0, 4, 0, 3, 2, 0, 2, 1, 3, 0, 2, 0, 2, 1, 0, 2, 2, 3, 1, 0, 4, 4, 4, 1, 2, 4, 1, 3, 1, 0, 2, 2, 3, 2, 3, 3, 2, 2, 3, 0, 1, 3, 0, 3, 3, 1, 2, 1, 0, 1, 0, 1, 2, 4, 3, 1, 3, 0, 4, 4, 1, 4, 4, 4, 2, 2, 4, 2, 1, 2, 4, 2, 0, 4, 4, 0, 3, 1, 3, 4, 0, 3, 1, 0, 0, 1, 1, 1, 4, 4, 4, 1, 2, 1, 4, 2, 0, 2, 2, 4, 4, 4, 1, 3, 3, 0, 0, 0, 4, 4, 3, 1, 1, 1, 3, 4, 3, 1, 1, 2, 2, 3, 3, 1, 4, 3, 4, 4, 0, 1, 1, 0, 0, 1, 3, 3, 3, 4, 2, 3, 4, 3, 1, 4, 1, 3, 2, 0, 0, 3, 4, 0, 4, 2, 0, 1, 0, 1, 0, 3, 1, 4, 3, 4, 0, 1, 1, 1, 2, 3, 1, 4, 3, 2, 0, 1, 2, 4, 0, 1, 2, 0, 3, 2, 0, 4, 3, 3, 2, 1, 2, 4, 3, 2, 3, 4, 0, 3, 4, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 4, 3, 0, 0, 2, 4, 4, 0, 0, 3, 4, 3, 3, 2, 2, 3, 2, 0, 4, 1, 4, 0, 0, 2, 4, 1, 4, 1, 4, 3, 2, 2, 0, 0, 1, 3, 1, 2, 0, 3, 0, 2, 4, 0, 0, 0, 4, 1, 4, 1, 3, 2, 0, 4, 0, 1, 2, 1, 3, 3, 4, 0, 4, 2, 0, 0, 4, 1, 3, 0, 4, 3, 4, 3, 4, 2, 4, 4, 2, 4, 3, 2, 2, 2, 4, 3, 0] pubkeycol1510 = [1, 4, 3, 1, 1, 4, 4, 3, 4, 2, 4, 2, 3, 2, 1, 3, 4, 4, 4, 1, 1, 4, 2, 4, 1, 4, 2, 4, 4, 0, 1, 0, 3, 2, 4, 1, 2, 1, 3, 0, 3, 4, 1, 0, 0, 1, 3, 0, 2, 0, 2, 4, 2, 2, 2, 3, 1, 1, 0, 4, 3, 4, 1, 3, 0, 4, 4, 1, 2, 4, 0, 1, 4, 0, 2, 2, 1, 1, 2, 2, 2, 1, 4, 1, 0, 0, 4, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 0, 0, 1, 1, 3, 1, 1, 2, 2, 1, 0, 3, 1, 4, 0, 3, 4, 1, 3, 4, 0, 3, 4, 3, 4, 2, 2, 1, 3, 1, 3, 4, 1, 2, 3, 0, 3, 2, 3, 0, 0, 0, 4, 1, 0, 3, 3, 4, 4, 2, 1, 4, 3, 3, 4, 3, 3, 2, 4, 1, 1, 3, 2, 3, 0, 1, 3, 2, 4, 4, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 3, 1, 1, 2, 3, 1, 2, 3, 4, 0, 2, 2, 0, 1, 3, 4, 3, 0, 4, 4, 0, 4, 0, 1, 2, 3, 1, 1, 4, 2, 1, 0, 4, 0, 2, 3, 2, 2, 4, 3, 2, 3, 4, 4, 4, 2, 4, 1, 2, 0, 3, 4, 0, 0, 2, 3, 1, 1, 0, 2, 3, 3, 3, 3, 3, 0, 4, 3, 2, 2, 1, 0, 3, 4, 4, 2, 1, 4, 1, 4, 2, 3, 1, 3, 1, 4, 2, 3, 0, 1, 1, 3, 4, 1, 1, 2, 3, 1, 2, 4, 0, 1, 1, 2, 1, 0, 3, 3, 0, 1, 4, 4, 2, 3, 2, 0, 4, 4, 4, 1, 4, 1, 2, 4, 4, 1, 1, 3, 4, 1, 2, 0, 4, 2, 4, 1, 1, 3, 4, 0, 0, 1, 0, 0, 1, 2, 3, 2, 4, 0, 0, 2, 4, 0, 4, 2, 1, 1, 4, 2, 4, 3, 2, 1, 1, 3, 1, 2, 4, 4, 0, 1, 4, 4, 2, 1, 3, 4, 0, 0, 0, 1, 0, 2, 0, 1, 4, 3, 1, 4, 0, 4, 3, 4, 3, 0, 3, 1, 0, 3, 4, 0, 0, 4, 4, 0, 4, 1, 4, 2, 1, 2, 0, 4, 4, 1, 0, 3, 1, 3, 0, 4, 3] pubkeycol1511 = [4, 3, 3, 2, 3, 4, 2, 1, 2, 2, 1, 2, 0, 3, 4, 4, 0, 0, 3, 2, 3, 0, 4, 0, 0, 3, 4, 0, 4, 2, 3, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 3, 3, 2, 1, 3, 2, 3, 1, 3, 4, 4, 3, 2, 0, 3, 3, 2, 2, 4, 1, 2, 3, 0, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 4, 1, 2, 2, 1, 4, 3, 2, 0, 1, 3, 4, 1, 3, 1, 1, 0, 3, 1, 1, 3, 3, 2, 2, 0, 1, 3, 4, 2, 0, 0, 4, 2, 0, 0, 0, 3, 2, 0, 1, 4, 1, 0, 2, 2, 4, 1, 2, 4, 4, 2, 2, 0, 2, 4, 1, 1, 2, 4, 4, 1, 2, 4, 2, 0, 2, 0, 0, 4, 4, 3, 3, 4, 1, 4, 4, 0, 1, 2, 0, 3, 3, 2, 3, 1, 0, 2, 3, 4, 1, 1, 3, 0, 4, 0, 0, 2, 2, 3, 4, 3, 1, 3, 2, 4, 1, 2, 1, 4, 2, 1, 1, 4, 2, 3, 3, 3, 2, 2, 0, 0, 4, 2, 4, 1, 2, 0, 0, 4, 4, 3, 4, 1, 4, 3, 3, 4, 4, 1, 3, 1, 3, 3, 1, 1, 2, 4, 2, 2, 0, 2, 2, 3, 0, 1, 3, 4, 3, 1, 2, 0, 4, 3, 2, 3, 4, 0, 2, 3, 2, 3, 4, 3, 0, 2, 0, 4, 2, 4, 0, 0, 4, 1, 1, 1, 0, 3, 2, 4, 4, 0, 3, 2, 3, 4, 0, 3, 2, 2, 1, 4, 2, 0, 4, 3, 2, 2, 1, 2, 3, 3, 0, 2, 1, 2, 3, 1, 3, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 4, 0, 2, 0, 1, 0, 2, 3, 1, 1, 0, 2, 3, 3, 2, 4, 4, 4, 2, 4, 2, 2, 4, 4, 1, 2, 4, 0, 4, 4, 3, 0, 3, 1, 0, 3, 0, 1, 0, 4, 3, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 3, 3, 4, 2, 2, 4, 3, 2, 3, 3, 2, 0, 0, 4, 1, 1, 0, 3, 3, 1, 1, 1, 3, 0, 3, 3, 0, 3, 2, 0, 3, 2, 4, 0, 3, 3, 3, 0, 3, 4, 1] pubkeycol1512 = [1, 2, 1, 4, 4, 3, 3, 2, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 0, 3, 3, 2, 2, 2, 2, 1, 0, 4, 3, 3, 2, 3, 1, 4, 1, 3, 0, 4, 4, 3, 3, 2, 2, 1, 2, 1, 1, 1, 4, 3, 1, 1, 3, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 4, 4, 2, 0, 0, 3, 0, 4, 1, 2, 4, 1, 2, 1, 3, 2, 3, 0, 3, 2, 3, 1, 3, 4, 3, 0, 3, 1, 0, 4, 3, 0, 3, 2, 1, 4, 3, 4, 3, 2, 2, 0, 2, 2, 4, 1, 2, 1, 3, 1, 3, 3, 1, 3, 4, 2, 2, 0, 2, 0, 1, 2, 4, 1, 4, 4, 4, 0, 3, 0, 0, 4, 4, 3, 1, 3, 4, 1, 1, 1, 3, 3, 3, 0, 1, 3, 0, 2, 1, 1, 0, 1, 0, 2, 3, 2, 1, 4, 3, 2, 0, 4, 2, 1, 3, 4, 4, 4, 2, 2, 0, 4, 3, 0, 0, 2, 4, 1, 0, 4, 4, 4, 4, 2, 4, 0, 4, 3, 3, 2, 0, 4, 2, 0, 0, 4, 4, 2, 0, 2, 1, 0, 4, 0, 0, 0, 1, 4, 1, 1, 2, 3, 2, 1, 4, 1, 3, 0, 4, 3, 1, 1, 0, 1, 4, 4, 3, 2, 0, 3, 3, 2, 1, 0, 2, 1, 0, 3, 2, 1, 3, 0, 4, 1, 3, 4, 4, 4, 4, 3, 0, 3, 2, 0, 1, 0, 4, 3, 3, 1, 1, 0, 1, 2, 3, 2, 4, 4, 0, 3, 0, 4, 1, 4, 3, 1, 4, 3, 4, 2, 2, 3, 1, 1, 2, 3, 0, 3, 4, 3, 4, 1, 4, 2, 2, 1, 2, 0, 4, 3, 4, 3, 4, 1, 3, 2, 1, 4, 4, 4, 3, 2, 1, 2, 3, 3, 1, 4, 1, 4, 4, 2, 0, 1, 0, 0, 2, 0, 2, 2, 3, 3, 2, 3, 4, 3, 3, 2, 4, 3, 3, 2, 0, 0, 0, 1, 3, 1, 4, 0, 0, 0, 3, 3, 2, 2, 2, 4, 0, 3, 2, 2, 4, 0, 3, 0, 2, 1, 3, 0, 2, 3, 2, 2, 1, 0, 3, 3, 1, 0, 0, 4, 2, 0, 4, 3, 0, 0, 2, 3, 4, 3, 1, 0] pubkeycol1513 = [3, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 4, 0, 0, 2, 0, 4, 3, 2, 2, 2, 4, 3, 4, 0, 2, 2, 0, 2, 0, 4, 4, 2, 1, 3, 3, 4, 3, 2, 4, 4, 3, 3, 2, 4, 4, 4, 4, 2, 2, 2, 1, 2, 2, 1, 4, 0, 2, 1, 3, 4, 3, 4, 2, 2, 3, 3, 2, 3, 3, 3, 1, 3, 3, 4, 4, 2, 3, 0, 4, 4, 2, 2, 3, 2, 1, 2, 3, 0, 3, 3, 1, 0, 0, 0, 1, 2, 3, 0, 3, 2, 1, 4, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 3, 3, 4, 0, 0, 0, 2, 3, 3, 3, 3, 3, 0, 0, 1, 3, 3, 1, 2, 0, 0, 3, 3, 3, 3, 3, 3, 2, 1, 4, 4, 0, 2, 2, 4, 3, 1, 3, 1, 4, 0, 1, 0, 0, 4, 4, 4, 4, 1, 0, 4, 3, 3, 1, 0, 1, 1, 4, 4, 0, 3, 2, 3, 3, 3, 1, 0, 4, 2, 4, 2, 2, 1, 2, 2, 2, 1, 3, 0, 0, 1, 4, 1, 4, 0, 0, 1, 3, 4, 2, 3, 3, 0, 0, 3, 0, 0, 2, 0, 2, 3, 1, 2, 4, 4, 0, 1, 4, 1, 4, 1, 2, 0, 0, 4, 0, 4, 2, 0, 1, 0, 0, 2, 0, 2, 2, 3, 3, 0, 2, 3, 3, 3, 0, 4, 1, 4, 3, 4, 4, 3, 1, 3, 1, 1, 2, 2, 0, 4, 1, 4, 1, 0, 0, 4, 3, 1, 3, 4, 2, 2, 1, 4, 0, 3, 1, 2, 3, 2, 2, 0, 3, 0, 2, 1, 2, 3, 4, 3, 4, 4, 0, 0, 4, 4, 1, 2, 0, 2, 0, 4, 4, 3, 0, 1, 4, 0, 0, 1, 0, 4, 2, 2, 3, 2, 3, 3, 1, 3, 2, 3, 3, 4, 2, 0, 0, 1, 0, 2, 1, 2, 1, 3, 3, 2, 0, 0, 0, 1, 1, 1, 4, 2, 4, 0, 0, 3, 3, 0, 2, 3, 0, 1, 0, 4, 3, 2, 3, 2, 1, 4, 0, 0, 0, 1, 3, 0, 2, 3, 1, 3, 1, 4, 2, 0, 1, 0, 4, 0, 4, 2, 0, 4, 2, 0, 0, 2, 0, 0, 4, 1, 0, 4, 3, 2] pubkeycol1514 = [1, 0, 2, 3, 0, 0, 3, 4, 0, 0, 1, 0, 4, 2, 2, 4, 3, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 4, 1, 3, 4, 1, 2, 3, 2, 2, 1, 0, 1, 2, 0, 4, 1, 1, 1, 3, 1, 4, 1, 3, 1, 0, 3, 4, 2, 2, 3, 0, 1, 4, 4, 2, 0, 1, 3, 0, 1, 2, 3, 0, 3, 0, 4, 1, 2, 1, 1, 4, 0, 3, 3, 2, 4, 2, 2, 4, 4, 3, 0, 2, 4, 1, 2, 1, 3, 2, 2, 1, 2, 3, 1, 3, 0, 3, 0, 3, 3, 2, 4, 2, 0, 4, 1, 2, 4, 2, 1, 1, 3, 1, 3, 3, 3, 0, 0, 3, 1, 1, 0, 0, 0, 0, 1, 4, 4, 2, 3, 0, 2, 0, 1, 4, 1, 4, 4, 4, 1, 2, 0, 0, 2, 2, 3, 4, 1, 1, 2, 2, 4, 2, 0, 0, 1, 3, 3, 1, 3, 4, 1, 0, 3, 4, 4, 2, 0, 0, 3, 0, 1, 2, 3, 3, 1, 2, 2, 2, 0, 3, 4, 3, 4, 4, 0, 0, 1, 1, 1, 1, 0, 3, 4, 1, 3, 0, 1, 3, 4, 0, 2, 2, 4, 2, 4, 1, 3, 4, 1, 4, 3, 4, 4, 0, 0, 0, 4, 1, 4, 4, 3, 1, 2, 3, 4, 3, 4, 0, 2, 3, 0, 2, 1, 1, 1, 4, 2, 4, 1, 1, 1, 3, 2, 1, 3, 2, 1, 2, 2, 2, 4, 4, 3, 4, 4, 1, 0, 1, 1, 4, 1, 0, 1, 1, 0, 1, 3, 0, 4, 2, 2, 2, 4, 2, 4, 4, 3, 1, 1, 1, 3, 2, 4, 2, 2, 2, 0, 4, 0, 2, 3, 4, 1, 3, 4, 3, 4, 1, 2, 4, 3, 1, 1, 2, 3, 0, 2, 1, 4, 0, 0, 1, 1, 1, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 2, 0, 3, 4, 3, 3, 4, 4, 0, 0, 4, 0, 1, 2, 4, 3, 3, 0, 3, 3, 0, 4, 2, 1, 4, 4, 2, 4, 0, 2, 0, 0, 2, 3, 2, 3, 4, 0, 1, 0, 4, 1, 0, 3, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 4, 1, 1, 3, 1, 3, 2, 1, 1, 3, 0, 3, 1, 1] pubkeycol1515 = [2, 4, 1, 2, 3, 1, 4, 3, 0, 0, 2, 4, 1, 4, 1, 1, 0, 1, 4, 4, 1, 4, 0, 2, 1, 1, 1, 1, 4, 3, 2, 1, 4, 2, 4, 3, 1, 1, 4, 0, 4, 4, 0, 2, 0, 4, 0, 1, 3, 0, 1, 2, 2, 2, 3, 4, 2, 1, 3, 3, 1, 1, 3, 1, 3, 4, 2, 3, 4, 1, 1, 3, 0, 4, 4, 2, 4, 3, 0, 0, 2, 0, 0, 0, 3, 4, 3, 3, 4, 4, 0, 4, 3, 3, 2, 2, 4, 0, 2, 1, 4, 0, 2, 0, 2, 4, 1, 4, 2, 1, 1, 1, 1, 0, 0, 4, 4, 1, 4, 4, 0, 0, 3, 1, 4, 4, 3, 4, 0, 2, 0, 3, 4, 0, 2, 0, 4, 2, 2, 2, 4, 0, 2, 1, 3, 1, 1, 4, 0, 0, 0, 2, 3, 1, 3, 3, 1, 3, 2, 1, 2, 0, 1, 0, 4, 4, 2, 2, 1, 2, 3, 1, 4, 0, 1, 4, 4, 4, 3, 4, 1, 1, 2, 1, 0, 2, 3, 2, 0, 0, 2, 1, 2, 1, 4, 2, 3, 1, 0, 2, 2, 4, 2, 3, 1, 2, 0, 0, 4, 0, 4, 4, 3, 1, 4, 0, 4, 0, 1, 2, 0, 1, 4, 0, 4, 4, 2, 0, 2, 1, 1, 0, 2, 3, 3, 1, 3, 2, 3, 1, 1, 2, 1, 3, 3, 2, 0, 0, 0, 0, 3, 0, 2, 1, 1, 1, 1, 4, 4, 0, 1, 3, 4, 4, 3, 0, 4, 3, 0, 4, 1, 3, 2, 4, 3, 3, 4, 0, 4, 0, 1, 0, 3, 0, 4, 1, 1, 1, 2, 1, 3, 2, 2, 0, 0, 3, 1, 3, 3, 1, 2, 0, 1, 0, 1, 3, 1, 3, 2, 3, 3, 4, 1, 4, 2, 4, 2, 1, 0, 2, 2, 2, 3, 1, 1, 0, 0, 4, 3, 4, 4, 2, 4, 2, 1, 1, 4, 0, 0, 1, 2, 2, 0, 0, 4, 1, 3, 3, 0, 2, 2, 4, 2, 4, 3, 2, 4, 2, 1, 2, 3, 1, 3, 4, 2, 0, 3, 2, 3, 0, 4, 1, 3, 4, 1, 1, 1, 4, 2, 2, 1, 4, 2, 3, 2, 4, 2, 4, 0, 4, 4, 3, 2, 2, 3, 1, 0, 3, 0, 0] pubkeycol1516 = [1, 1, 0, 2, 3, 0, 0, 1, 2, 4, 1, 1, 1, 4, 0, 2, 3, 0, 3, 4, 0, 0, 4, 0, 2, 2, 0, 0, 0, 1, 1, 3, 2, 1, 4, 2, 2, 4, 3, 3, 4, 1, 4, 3, 1, 1, 4, 4, 3, 2, 2, 1, 2, 3, 1, 1, 4, 3, 0, 1, 1, 3, 1, 2, 1, 1, 0, 3, 0, 2, 1, 0, 1, 1, 4, 2, 3, 2, 4, 1, 1, 2, 4, 0, 4, 0, 1, 0, 0, 1, 3, 3, 3, 4, 4, 4, 3, 3, 2, 3, 2, 4, 3, 4, 0, 1, 4, 4, 1, 1, 3, 0, 2, 3, 0, 0, 4, 4, 0, 1, 1, 4, 1, 1, 1, 0, 3, 0, 4, 3, 4, 0, 1, 2, 2, 4, 0, 4, 2, 2, 2, 0, 0, 3, 1, 4, 0, 2, 3, 4, 4, 0, 2, 3, 3, 1, 4, 2, 2, 0, 1, 0, 2, 3, 3, 4, 1, 0, 1, 3, 2, 1, 3, 3, 0, 2, 2, 0, 3, 0, 0, 4, 4, 3, 4, 1, 1, 0, 3, 1, 1, 4, 3, 4, 2, 3, 4, 0, 1, 1, 0, 2, 1, 3, 0, 2, 2, 0, 1, 2, 1, 2, 0, 4, 3, 1, 4, 4, 0, 0, 2, 3, 0, 0, 2, 4, 1, 4, 2, 3, 1, 1, 3, 4, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 3, 4, 1, 0, 1, 0, 2, 0, 0, 0, 2, 4, 1, 2, 4, 3, 2, 0, 3, 3, 1, 0, 3, 0, 4, 3, 1, 1, 3, 0, 4, 1, 0, 0, 3, 0, 1, 2, 3, 0, 1, 0, 1, 1, 0, 1, 4, 4, 0, 2, 0, 3, 4, 1, 1, 1, 2, 2, 4, 3, 2, 3, 1, 0, 4, 1, 1, 4, 0, 4, 0, 4, 1, 1, 1, 4, 0, 3, 1, 3, 0, 1, 3, 2, 2, 0, 2, 4, 1, 4, 3, 1, 3, 1, 0, 3, 0, 0, 3, 4, 4, 0, 0, 3, 3, 4, 3, 0, 2, 0, 2, 0, 4, 4, 1, 2, 4, 2, 1, 3, 3, 1, 1, 3, 0, 4, 3, 2, 0, 0, 0, 4, 2, 2, 1, 1, 4, 2, 1, 2, 1, 2, 0, 0, 1, 4, 2, 1, 4, 1, 2, 0, 1, 1, 0, 1] pubkeycol1517 = [2, 1, 1, 4, 2, 3, 0, 2, 0, 4, 2, 4, 3, 0, 2, 4, 3, 2, 3, 0, 4, 3, 3, 1, 1, 0, 3, 2, 3, 3, 3, 4, 2, 2, 0, 4, 0, 2, 0, 4, 1, 3, 1, 4, 1, 2, 2, 1, 4, 4, 0, 4, 2, 3, 0, 2, 2, 4, 1, 2, 2, 4, 1, 0, 2, 4, 0, 1, 2, 0, 4, 2, 1, 2, 0, 1, 0, 0, 4, 3, 2, 4, 3, 3, 2, 4, 3, 0, 0, 3, 4, 2, 3, 1, 0, 0, 3, 1, 4, 4, 2, 1, 4, 1, 4, 3, 3, 2, 2, 4, 3, 3, 0, 2, 2, 2, 2, 4, 4, 2, 3, 3, 2, 3, 1, 2, 3, 0, 0, 2, 2, 0, 3, 0, 0, 2, 4, 2, 1, 3, 2, 2, 2, 3, 0, 2, 1, 2, 4, 1, 1, 2, 4, 1, 4, 3, 2, 0, 0, 3, 2, 4, 3, 0, 0, 3, 4, 4, 4, 2, 3, 1, 3, 2, 1, 0, 2, 3, 0, 4, 1, 0, 1, 1, 1, 1, 3, 1, 0, 1, 1, 2, 0, 4, 4, 3, 4, 1, 2, 0, 3, 0, 4, 0, 2, 1, 0, 4, 0, 3, 4, 4, 4, 2, 2, 3, 0, 3, 2, 4, 2, 2, 0, 1, 4, 2, 3, 2, 2, 0, 4, 4, 3, 1, 0, 4, 1, 4, 3, 3, 3, 0, 4, 0, 3, 0, 4, 1, 3, 3, 0, 4, 1, 0, 2, 2, 3, 0, 4, 1, 0, 2, 0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 4, 1, 4, 1, 3, 3, 3, 4, 4, 2, 0, 2, 0, 4, 1, 0, 2, 4, 3, 2, 3, 3, 1, 3, 0, 3, 3, 4, 2, 3, 0, 3, 4, 1, 3, 3, 4, 3, 1, 1, 3, 3, 4, 3, 2, 3, 1, 0, 2, 1, 0, 0, 4, 3, 2, 1, 2, 1, 1, 3, 4, 4, 1, 4, 3, 1, 3, 3, 4, 0, 3, 2, 4, 4, 1, 2, 2, 1, 2, 2, 1, 3, 2, 1, 4, 3, 1, 2, 4, 2, 0, 3, 2, 0, 1, 0, 0, 1, 1, 3, 1, 2, 0, 1, 2, 2, 3, 1, 3, 3, 0, 4, 1, 4] pubkeycol1518 = [0, 3, 2, 3, 0, 3, 0, 3, 1, 4, 0, 3, 3, 0, 0, 1, 4, 1, 0, 4, 4, 1, 4, 1, 0, 4, 2, 4, 2, 0, 4, 3, 1, 1, 4, 4, 2, 3, 3, 0, 4, 1, 3, 1, 1, 3, 1, 1, 1, 2, 3, 3, 3, 3, 2, 4, 4, 2, 1, 4, 4, 3, 2, 3, 4, 3, 1, 4, 2, 1, 2, 1, 1, 3, 2, 4, 0, 0, 3, 3, 2, 4, 4, 4, 1, 3, 0, 0, 1, 2, 3, 4, 2, 1, 1, 2, 2, 1, 4, 0, 4, 0, 2, 1, 2, 0, 2, 3, 0, 3, 4, 4, 3, 3, 1, 0, 0, 1, 2, 3, 0, 2, 4, 1, 0, 1, 2, 4, 4, 3, 0, 2, 2, 4, 3, 0, 4, 3, 3, 3, 4, 0, 0, 2, 3, 4, 4, 0, 4, 3, 3, 2, 0, 1, 2, 0, 4, 0, 2, 1, 0, 0, 3, 2, 2, 0, 4, 0, 2, 4, 3, 2, 3, 1, 1, 4, 0, 1, 0, 2, 4, 3, 3, 4, 4, 2, 0, 3, 4, 3, 3, 2, 2, 3, 2, 2, 4, 1, 2, 3, 3, 2, 3, 1, 2, 2, 0, 0, 4, 2, 3, 0, 0, 1, 3, 3, 4, 4, 1, 3, 3, 1, 4, 2, 4, 0, 1, 1, 3, 2, 3, 0, 0, 1, 2, 0, 0, 1, 0, 3, 1, 2, 3, 0, 2, 4, 2, 0, 3, 4, 1, 3, 0, 1, 3, 2, 1, 1, 2, 1, 1, 2, 4, 4, 4, 1, 4, 2, 1, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 0, 2, 3, 4, 2, 1, 3, 4, 0, 4, 2, 3, 4, 1, 2, 4, 1, 2, 4, 1, 3, 0, 2, 2, 2, 4, 4, 1, 1, 3, 4, 4, 0, 1, 2, 4, 1, 2, 4, 3, 2, 4, 3, 4, 3, 2, 3, 0, 0, 4, 4, 0, 1, 2, 0, 2, 4, 0, 1, 4, 1, 4, 4, 4, 2, 0, 4, 1, 2, 2, 3, 0, 0, 2, 3, 3, 1, 1, 4, 3, 3, 2, 3, 4, 3, 0, 2, 4, 1, 1, 1, 3, 2, 3, 0, 3, 2, 0, 0, 1, 2, 2, 2, 1, 2, 3, 4, 1, 2, 1, 4, 1, 4, 3, 2, 1, 1, 2, 4, 0, 3] pubkeycol1519 = [4, 1, 0, 1, 2, 4, 3, 2, 2, 0, 2, 3, 3, 4, 1, 0, 3, 3, 0, 0, 1, 1, 2, 0, 4, 0, 3, 0, 3, 4, 3, 3, 3, 3, 4, 4, 2, 4, 0, 2, 4, 1, 2, 2, 2, 0, 1, 3, 3, 0, 2, 2, 0, 4, 1, 0, 3, 0, 2, 3, 2, 3, 3, 0, 1, 1, 3, 0, 4, 2, 0, 2, 2, 1, 4, 1, 1, 3, 0, 3, 2, 3, 3, 0, 1, 4, 3, 2, 2, 0, 0, 0, 1, 1, 4, 3, 0, 4, 4, 4, 0, 4, 1, 0, 2, 2, 2, 3, 0, 4, 1, 3, 0, 2, 1, 2, 3, 0, 3, 2, 3, 2, 4, 4, 3, 0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 0, 1, 3, 4, 4, 3, 2, 4, 4, 4, 2, 3, 2, 2, 3, 0, 0, 3, 3, 2, 1, 3, 1, 3, 0, 4, 3, 4, 3, 4, 2, 3, 0, 3, 4, 0, 3, 2, 4, 3, 4, 1, 1, 3, 4, 0, 4, 1, 4, 0, 0, 1, 3, 3, 3, 1, 4, 3, 3, 2, 3, 3, 1, 1, 1, 2, 3, 0, 3, 0, 0, 4, 4, 4, 3, 4, 2, 3, 3, 1, 2, 4, 1, 1, 3, 0, 0, 4, 2, 0, 3, 3, 2, 2, 3, 1, 1, 0, 1, 2, 0, 3, 3, 1, 4, 3, 2, 1, 1, 0, 3, 1, 2, 4, 2, 2, 4, 3, 4, 2, 0, 2, 1, 0, 4, 2, 0, 2, 2, 3, 1, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 2, 0, 3, 4, 2, 1, 2, 0, 1, 1, 0, 3, 2, 4, 2, 1, 1, 1, 2, 4, 0, 3, 4, 3, 0, 2, 4, 2, 1, 1, 3, 0, 3, 2, 0, 1, 4, 3, 1, 2, 4, 4, 2, 2, 4, 3, 0, 0, 3, 3, 0, 3, 2, 0, 2, 3, 2, 0, 3, 2, 4, 4, 4, 2, 0, 2, 0, 0, 4, 2, 4, 1, 3, 3, 3, 1, 1, 2, 3, 3, 1, 2, 3, 2, 3, 4, 1, 0, 0, 2, 0, 1, 2, 1, 4, 0, 2, 1, 0, 4, 3, 3, 1, 0, 3, 0, 2, 1, 0, 0, 2, 3, 3, 4, 3, 2, 0, 3, 2, 4, 3, 3, 0, 4] pubkeycol1520 = [4, 4, 2, 4, 1, 3, 0, 1, 3, 1, 2, 3, 3, 1, 1, 3, 4, 0, 3, 4, 3, 1, 0, 4, 1, 3, 1, 2, 2, 0, 4, 2, 2, 0, 1, 0, 4, 3, 4, 4, 2, 1, 1, 2, 3, 3, 1, 3, 4, 1, 4, 4, 3, 3, 3, 1, 0, 1, 1, 2, 1, 4, 0, 1, 3, 1, 4, 2, 2, 1, 0, 4, 2, 2, 1, 0, 1, 4, 4, 2, 3, 1, 3, 4, 1, 4, 4, 0, 2, 4, 3, 0, 0, 0, 3, 1, 4, 2, 0, 4, 0, 2, 2, 0, 0, 3, 4, 2, 0, 0, 0, 4, 2, 3, 0, 3, 2, 4, 4, 0, 2, 2, 3, 4, 4, 4, 3, 3, 1, 3, 4, 4, 0, 4, 4, 1, 0, 0, 0, 2, 4, 3, 2, 0, 1, 2, 0, 3, 0, 0, 3, 0, 1, 1, 1, 1, 3, 3, 4, 3, 4, 4, 0, 4, 1, 1, 3, 4, 1, 1, 2, 2, 1, 2, 2, 4, 1, 3, 1, 4, 1, 0, 2, 2, 0, 2, 3, 0, 2, 4, 1, 1, 4, 1, 4, 2, 3, 3, 0, 4, 4, 3, 2, 4, 0, 1, 2, 1, 1, 2, 3, 1, 1, 0, 3, 1, 4, 2, 2, 0, 3, 2, 0, 3, 2, 0, 1, 0, 1, 0, 1, 3, 3, 0, 2, 0, 4, 1, 4, 1, 1, 1, 4, 4, 4, 4, 4, 1, 0, 3, 0, 4, 0, 2, 4, 4, 2, 3, 0, 0, 2, 1, 1, 3, 2, 0, 4, 2, 1, 3, 4, 2, 0, 4, 2, 3, 2, 2, 2, 1, 2, 0, 4, 4, 1, 2, 0, 3, 0, 2, 0, 3, 0, 2, 2, 0, 0, 3, 4, 0, 3, 1, 2, 4, 0, 1, 1, 1, 1, 4, 1, 1, 3, 2, 0, 0, 4, 2, 2, 4, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 3, 4, 3, 1, 2, 0, 0, 3, 1, 4, 3, 0, 0, 3, 0, 3, 0, 2, 4, 4, 0, 0, 1, 2, 3, 1, 4, 4, 3, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 3, 4, 4, 1, 1, 1, 3, 4, 2, 0, 3, 3, 0, 0, 4, 0, 2, 3, 3, 4, 0, 0, 0, 4, 4, 4, 2, 0, 2] pubkeycol1521 = [1, 0, 3, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 4, 3, 3, 3, 0, 1, 4, 2, 3, 3, 0, 0, 1, 3, 0, 3, 1, 4, 1, 4, 2, 1, 1, 4, 0, 2, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 2, 2, 4, 4, 3, 1, 3, 4, 0, 1, 1, 0, 2, 3, 3, 0, 2, 0, 2, 0, 2, 0, 4, 4, 4, 0, 2, 1, 4, 1, 2, 2, 0, 4, 2, 4, 4, 4, 2, 4, 0, 0, 3, 4, 0, 0, 4, 2, 0, 3, 1, 2, 1, 4, 0, 1, 1, 4, 3, 1, 4, 1, 1, 3, 1, 4, 1, 2, 2, 4, 0, 1, 0, 4, 4, 0, 0, 0, 2, 0, 0, 2, 3, 3, 0, 2, 2, 0, 3, 1, 1, 4, 4, 4, 2, 1, 2, 0, 0, 4, 2, 4, 1, 0, 1, 3, 4, 2, 0, 1, 1, 3, 3, 1, 3, 4, 4, 1, 3, 2, 2, 0, 1, 2, 1, 4, 4, 4, 4, 0, 1, 4, 3, 2, 3, 4, 3, 4, 4, 0, 1, 0, 2, 0, 0, 1, 2, 3, 4, 2, 2, 4, 4, 3, 2, 2, 3, 2, 2, 4, 1, 0, 1, 3, 0, 1, 3, 1, 4, 2, 1, 1, 0, 0, 2, 4, 3, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 3, 2, 4, 1, 1, 1, 2, 3, 2, 3, 0, 3, 2, 0, 3, 0, 1, 0, 4, 0, 1, 4, 2, 3, 3, 0, 1, 0, 1, 0, 3, 2, 0, 2, 0, 2, 1, 1, 3, 3, 2, 3, 1, 2, 3, 4, 0, 4, 1, 4, 1, 0, 0, 4, 1, 3, 1, 0, 0, 2, 0, 3, 0, 1, 3, 0, 2, 4, 1, 1, 3, 4, 0, 3, 0, 2, 1, 4, 0, 0, 2, 3, 1, 1, 1, 4, 3, 2, 3, 1, 3, 4, 4, 1, 4, 2, 1, 0, 3, 4, 4, 4, 0, 1, 2, 0, 1, 4, 4, 3, 1, 0, 1, 0, 0, 3, 3, 0, 1, 4, 0, 4, 1, 1, 4, 1, 3, 3, 0, 4, 3, 2, 1, 3, 1, 3, 3, 1, 0, 1, 4, 3, 1, 4, 2, 0, 2, 3, 2, 1, 1, 3, 0, 1, 1, 2, 0, 0] pubkeycol1522 = [2, 0, 0, 4, 3, 3, 2, 3, 2, 4, 1, 1, 2, 2, 2, 1, 4, 4, 1, 3, 1, 2, 2, 4, 0, 2, 2, 2, 2, 0, 2, 3, 0, 0, 2, 3, 1, 3, 3, 0, 2, 0, 2, 3, 1, 2, 4, 1, 1, 4, 2, 4, 1, 4, 4, 0, 3, 1, 0, 2, 1, 1, 3, 0, 4, 3, 1, 0, 4, 3, 4, 1, 2, 3, 4, 3, 2, 0, 4, 2, 3, 3, 2, 4, 0, 1, 1, 0, 2, 1, 1, 2, 3, 2, 2, 4, 0, 2, 2, 3, 2, 3, 4, 1, 1, 0, 4, 4, 1, 1, 2, 2, 1, 4, 4, 3, 3, 0, 1, 3, 3, 2, 1, 4, 3, 1, 2, 3, 0, 0, 0, 2, 0, 0, 0, 3, 2, 1, 4, 0, 3, 1, 4, 4, 0, 1, 1, 3, 2, 1, 4, 2, 0, 2, 0, 4, 2, 3, 3, 4, 0, 0, 2, 2, 4, 0, 2, 3, 1, 3, 0, 4, 4, 4, 3, 2, 4, 2, 1, 0, 3, 4, 2, 2, 1, 4, 0, 2, 3, 3, 3, 4, 1, 4, 4, 3, 0, 3, 0, 2, 1, 2, 0, 0, 1, 3, 3, 4, 2, 0, 1, 1, 2, 2, 4, 3, 4, 1, 1, 2, 1, 0, 3, 4, 4, 3, 3, 3, 1, 2, 3, 4, 3, 1, 3, 3, 4, 2, 0, 1, 4, 0, 3, 2, 4, 4, 0, 3, 4, 1, 1, 3, 2, 1, 4, 4, 4, 1, 3, 0, 4, 0, 1, 2, 2, 0, 1, 1, 1, 2, 4, 3, 2, 4, 3, 2, 2, 2, 4, 1, 2, 0, 2, 1, 1, 3, 1, 2, 3, 0, 4, 1, 2, 4, 0, 0, 4, 3, 2, 3, 1, 4, 4, 0, 2, 1, 2, 4, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 4, 4, 1, 2, 2, 4, 1, 2, 3, 4, 2, 1, 2, 1, 3, 0, 3, 1, 4, 0, 3, 0, 4, 4, 1, 0, 1, 1, 3, 3, 3, 1, 2, 2, 3, 2, 1, 2, 0, 0, 0, 4, 2, 0, 0, 2, 4, 2, 0, 3, 2, 2, 2, 2, 4, 4, 4, 2, 3, 4, 4, 0, 4, 2, 1, 4, 0, 2, 3, 3, 1, 0, 2, 1, 2, 4, 2, 1, 2, 4, 1, 1] pubkeycol1523 = [0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 3, 2, 2, 0, 2, 2, 0, 2, 4, 4, 1, 0, 1, 1, 3, 3, 2, 1, 0, 4, 2, 3, 2, 4, 2, 2, 4, 1, 1, 2, 2, 0, 3, 0, 0, 0, 4, 1, 0, 0, 2, 4, 4, 0, 1, 4, 1, 0, 4, 3, 2, 4, 4, 1, 0, 1, 2, 3, 2, 4, 3, 3, 3, 4, 4, 1, 3, 4, 2, 0, 4, 4, 3, 1, 0, 3, 3, 0, 4, 1, 3, 3, 0, 4, 0, 1, 3, 2, 2, 1, 1, 3, 1, 4, 1, 3, 2, 3, 4, 1, 3, 4, 0, 3, 1, 3, 2, 1, 1, 0, 3, 0, 1, 4, 3, 4, 4, 3, 0, 3, 1, 0, 2, 3, 2, 2, 1, 4, 1, 3, 4, 2, 4, 1, 2, 1, 0, 0, 4, 3, 4, 2, 0, 3, 4, 4, 2, 1, 0, 1, 1, 0, 1, 0, 3, 4, 1, 3, 3, 4, 4, 1, 1, 1, 3, 2, 3, 0, 0, 4, 0, 2, 2, 3, 3, 2, 0, 0, 3, 2, 4, 2, 0, 0, 4, 1, 1, 2, 4, 0, 3, 2, 2, 3, 4, 2, 0, 3, 1, 4, 3, 1, 3, 1, 0, 2, 2, 3, 1, 1, 0, 0, 2, 0, 0, 1, 3, 1, 1, 0, 0, 1, 3, 1, 4, 2, 0, 0, 4, 2, 2, 0, 1, 1, 0, 4, 0, 1, 2, 3, 2, 2, 2, 3, 4, 0, 4, 4, 3, 4, 3, 1, 0, 2, 0, 4, 3, 3, 0, 1, 3, 1, 0, 4, 4, 4, 0, 3, 3, 3, 3, 1, 3, 2, 1, 4, 4, 0, 3, 0, 2, 1, 4, 0, 1, 4, 4, 1, 4, 3, 0, 2, 4, 3, 2, 0, 0, 2, 4, 4, 1, 4, 0, 1, 0, 1, 1, 1, 4, 3, 0, 4, 2, 0, 4, 4, 0, 3, 2, 3, 2, 0, 2, 0, 1, 4, 2, 2, 0, 3, 2, 2, 0, 3, 3, 0, 4, 1, 0, 3, 4, 4, 0, 3, 0, 3, 1, 1, 0, 3, 2, 1, 3, 2, 0, 1, 1, 1, 0, 1, 2, 2, 4, 4, 4, 1, 2, 4, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 3, 3, 3, 1, 4, 0, 3, 2, 3, 2, 3, 2] pubkeycol1524 = [3, 2, 0, 4, 2, 2, 0, 2, 4, 4, 3, 3, 3, 1, 0, 0, 4, 0, 3, 4, 4, 0, 4, 1, 0, 2, 3, 1, 3, 4, 1, 1, 1, 1, 2, 0, 3, 1, 4, 1, 1, 3, 1, 2, 4, 4, 3, 3, 3, 2, 3, 3, 1, 1, 3, 2, 3, 3, 1, 3, 0, 2, 3, 2, 0, 2, 2, 2, 0, 1, 3, 1, 2, 0, 2, 4, 3, 2, 4, 1, 4, 4, 1, 0, 1, 0, 2, 4, 1, 0, 0, 0, 2, 3, 0, 3, 4, 4, 2, 1, 2, 2, 2, 1, 0, 2, 4, 1, 3, 0, 1, 2, 4, 4, 4, 3, 3, 4, 3, 3, 2, 0, 4, 4, 2, 3, 2, 3, 1, 3, 0, 2, 3, 2, 2, 3, 1, 3, 0, 1, 3, 1, 4, 2, 1, 4, 0, 1, 1, 2, 4, 0, 1, 0, 0, 4, 3, 0, 3, 3, 0, 1, 0, 4, 0, 4, 1, 2, 2, 4, 2, 1, 3, 1, 0, 3, 4, 0, 4, 1, 3, 0, 1, 1, 2, 0, 0, 0, 3, 4, 0, 2, 2, 1, 0, 2, 3, 0, 3, 3, 4, 3, 1, 3, 0, 0, 1, 1, 0, 2, 1, 4, 4, 4, 0, 4, 3, 4, 0, 3, 3, 0, 4, 0, 1, 1, 0, 2, 4, 3, 0, 4, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 4, 2, 2, 4, 2, 2, 4, 3, 0, 3, 2, 2, 1, 0, 1, 4, 0, 4, 4, 3, 1, 0, 1, 2, 1, 0, 2, 3, 4, 0, 0, 1, 3, 3, 3, 0, 4, 0, 3, 1, 4, 3, 4, 1, 3, 0, 0, 2, 2, 1, 3, 2, 4, 3, 3, 3, 0, 0, 0, 3, 3, 1, 3, 3, 4, 1, 2, 2, 2, 4, 1, 1, 3, 2, 0, 3, 3, 0, 3, 3, 2, 3, 4, 3, 2, 0, 3, 3, 1, 1, 2, 1, 0, 1, 3, 1, 0, 2, 4, 0, 4, 1, 1, 1, 1, 0, 4, 3, 0, 1, 4, 0, 3, 3, 4, 4, 3, 4, 2, 1, 4, 2, 4, 3, 1, 0, 1, 4, 4, 2, 2, 1, 2, 4, 0, 4, 2, 2, 1, 1, 4, 0, 3, 1, 1, 4, 2, 4, 1, 4, 2, 4, 3, 1, 3, 2, 4] pubkeycol1525 = [1, 4, 3, 0, 0, 4, 1, 3, 1, 3, 3, 3, 2, 0, 4, 3, 4, 4, 2, 4, 4, 0, 2, 1, 4, 3, 3, 1, 3, 1, 4, 1, 1, 4, 4, 1, 2, 2, 4, 2, 3, 1, 2, 3, 4, 4, 2, 3, 2, 4, 1, 4, 0, 4, 0, 3, 0, 2, 0, 1, 1, 4, 0, 4, 0, 1, 2, 0, 1, 0, 4, 4, 0, 1, 4, 3, 1, 2, 3, 2, 4, 0, 0, 1, 1, 3, 1, 1, 1, 4, 4, 1, 3, 4, 2, 2, 0, 3, 1, 4, 4, 1, 1, 0, 3, 0, 1, 0, 0, 2, 2, 1, 0, 4, 2, 2, 2, 2, 3, 1, 0, 0, 2, 3, 1, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2, 1, 0, 3, 3, 4, 4, 3, 4, 4, 3, 4, 1, 4, 2, 3, 3, 4, 2, 1, 4, 3, 4, 4, 1, 2, 3, 3, 4, 3, 0, 0, 3, 2, 0, 0, 4, 2, 0, 2, 4, 3, 4, 1, 4, 0, 4, 1, 3, 3, 3, 3, 1, 0, 4, 3, 0, 1, 3, 0, 1, 2, 2, 3, 4, 4, 0, 4, 4, 1, 0, 4, 0, 1, 0, 2, 3, 3, 1, 4, 3, 4, 1, 3, 2, 3, 3, 0, 2, 4, 4, 4, 2, 2, 2, 3, 4, 2, 3, 4, 4, 1, 4, 4, 3, 1, 0, 1, 2, 2, 0, 1, 4, 3, 0, 4, 1, 2, 0, 0, 2, 4, 1, 3, 4, 3, 4, 4, 3, 0, 2, 3, 4, 3, 1, 2, 4, 2, 1, 1, 0, 2, 0, 1, 2, 4, 4, 4, 4, 3, 3, 2, 3, 1, 1, 1, 2, 4, 1, 0, 1, 3, 1, 2, 0, 4, 1, 4, 2, 1, 0, 4, 2, 2, 4, 4, 2, 4, 1, 3, 4, 4, 2, 1, 3, 3, 4, 4, 1, 0, 3, 0, 1, 4, 0, 2, 3, 4, 0, 3, 0, 0, 3, 3, 4, 0, 1, 4, 2, 1, 3, 2, 2, 0, 3, 2, 2, 2, 0, 0, 4, 3, 2, 3, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 0, 4, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 3, 1, 2, 1, 1, 0, 3, 2, 2, 4, 3, 0, 2, 3, 4, 2, 0, 0] pubkeycol1526 = [4, 2, 0, 2, 4, 4, 0, 3, 4, 3, 0, 1, 2, 0, 2, 2, 4, 2, 0, 4, 1, 1, 1, 0, 2, 0, 0, 2, 4, 4, 2, 4, 0, 3, 0, 1, 0, 3, 1, 3, 1, 0, 4, 0, 0, 3, 0, 3, 2, 1, 3, 3, 1, 2, 3, 0, 2, 3, 0, 4, 1, 1, 1, 2, 4, 4, 1, 3, 0, 2, 4, 2, 2, 0, 0, 0, 2, 1, 2, 2, 3, 3, 3, 4, 0, 3, 4, 1, 2, 1, 0, 4, 1, 1, 0, 0, 1, 0, 3, 2, 1, 3, 1, 0, 4, 1, 4, 2, 3, 0, 2, 4, 3, 1, 0, 2, 4, 0, 4, 4, 3, 3, 0, 3, 4, 4, 4, 1, 4, 1, 4, 1, 4, 1, 2, 1, 0, 4, 4, 0, 4, 2, 0, 1, 1, 4, 3, 2, 2, 2, 2, 2, 1, 4, 0, 0, 0, 2, 4, 1, 3, 1, 0, 2, 4, 2, 2, 4, 2, 2, 3, 0, 2, 4, 2, 3, 1, 1, 2, 2, 2, 0, 4, 1, 0, 3, 2, 0, 3, 2, 0, 2, 1, 3, 4, 3, 0, 0, 4, 1, 1, 4, 4, 1, 4, 2, 2, 3, 1, 0, 4, 4, 0, 1, 4, 2, 4, 4, 4, 2, 1, 3, 2, 1, 2, 2, 2, 3, 1, 1, 2, 4, 0, 4, 3, 0, 2, 0, 3, 2, 1, 2, 1, 1, 0, 1, 1, 0, 4, 4, 1, 3, 0, 3, 2, 3, 4, 1, 0, 1, 2, 3, 4, 2, 1, 3, 4, 4, 3, 1, 1, 3, 1, 1, 2, 4, 4, 0, 3, 4, 1, 1, 4, 0, 0, 1, 2, 0, 1, 2, 4, 4, 3, 0, 3, 4, 4, 4, 3, 0, 1, 0, 4, 1, 3, 2, 3, 1, 2, 0, 1, 2, 0, 4, 0, 1, 3, 4, 0, 2, 1, 1, 2, 0, 1, 0, 3, 4, 4, 1, 0, 1, 1, 1, 4, 4, 2, 2, 3, 0, 2, 2, 0, 2, 4, 0, 4, 1, 2, 3, 4, 1, 0, 1, 4, 3, 2, 2, 3, 1, 4, 0, 2, 4, 0, 2, 0, 2, 1, 3, 0, 1, 2, 0, 2, 4, 4, 1, 2, 4, 1, 0, 4, 1, 0, 2, 2, 0, 4, 0, 3, 0, 4, 3, 1, 1, 3, 2, 3, 0] pubkeycol1527 = [1, 0, 1, 1, 2, 2, 1, 3, 3, 1, 1, 0, 2, 0, 4, 0, 3, 4, 4, 2, 4, 0, 2, 2, 0, 1, 1, 4, 3, 2, 4, 3, 3, 0, 4, 1, 1, 4, 2, 0, 4, 0, 3, 1, 2, 2, 2, 3, 3, 3, 0, 4, 2, 2, 3, 4, 2, 0, 3, 4, 2, 2, 0, 2, 3, 4, 4, 3, 1, 4, 0, 3, 4, 4, 0, 1, 2, 1, 2, 4, 3, 1, 1, 3, 2, 0, 2, 0, 3, 4, 4, 0, 1, 1, 1, 3, 0, 4, 3, 2, 1, 3, 3, 4, 3, 2, 2, 2, 4, 2, 4, 2, 0, 3, 0, 3, 3, 3, 3, 3, 4, 1, 1, 2, 1, 2, 3, 2, 0, 0, 2, 1, 3, 1, 3, 3, 4, 3, 2, 2, 2, 4, 3, 0, 0, 3, 1, 3, 3, 4, 0, 1, 4, 4, 1, 3, 3, 0, 2, 0, 1, 3, 0, 1, 0, 3, 0, 2, 3, 1, 1, 3, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 4, 0, 3, 3, 4, 4, 0, 0, 1, 2, 2, 4, 2, 0, 4, 0, 4, 4, 4, 3, 4, 3, 2, 0, 3, 1, 0, 2, 0, 0, 1, 4, 4, 4, 1, 3, 4, 4, 1, 2, 1, 0, 0, 4, 2, 1, 1, 1, 4, 4, 4, 4, 2, 4, 3, 4, 3, 1, 2, 1, 2, 1, 0, 4, 2, 4, 2, 2, 1, 0, 1, 4, 0, 3, 3, 0, 2, 1, 4, 2, 4, 4, 4, 3, 1, 3, 2, 1, 4, 2, 1, 4, 4, 2, 0, 4, 1, 0, 2, 1, 4, 1, 3, 0, 3, 1, 0, 4, 3, 1, 3, 0, 3, 1, 4, 1, 3, 0, 4, 3, 2, 2, 4, 3, 0, 1, 3, 2, 2, 2, 0, 3, 2, 4, 1, 0, 2, 2, 1, 0, 4, 2, 4, 4, 4, 4, 2, 1, 3, 0, 1, 4, 0, 2, 3, 1, 4, 4, 1, 1, 1, 3, 4, 0, 3, 3, 0, 0, 4, 4, 3, 1, 4, 1, 4, 3, 3, 1, 2, 1, 0, 2, 2, 4, 4, 0, 1, 2, 1, 1, 4, 3, 2, 0, 0, 0, 1, 1, 4, 3, 3, 4, 3, 2, 2, 4, 0, 0, 2, 3, 2, 0, 3, 2, 0, 4, 1, 2] pubkeycol1528 = [2, 3, 3, 2, 1, 3, 0, 3, 3, 3, 3, 4, 0, 1, 3, 1, 0, 0, 3, 4, 1, 3, 0, 4, 0, 0, 0, 2, 3, 4, 1, 3, 3, 4, 4, 2, 0, 3, 4, 3, 3, 1, 0, 0, 2, 3, 2, 4, 2, 1, 1, 2, 1, 0, 0, 0, 3, 4, 0, 3, 3, 2, 0, 1, 3, 0, 3, 2, 2, 0, 2, 1, 2, 3, 4, 1, 4, 2, 3, 2, 2, 0, 2, 4, 0, 2, 4, 4, 0, 4, 1, 3, 4, 2, 4, 3, 2, 3, 0, 1, 4, 1, 2, 4, 1, 3, 4, 3, 4, 3, 0, 1, 2, 1, 4, 4, 1, 1, 3, 2, 4, 2, 1, 1, 4, 3, 1, 0, 0, 4, 1, 3, 2, 1, 3, 0, 2, 4, 2, 4, 3, 4, 2, 4, 2, 4, 2, 0, 4, 2, 3, 4, 3, 3, 3, 4, 2, 3, 1, 3, 3, 4, 2, 1, 4, 3, 4, 1, 2, 3, 2, 2, 3, 2, 3, 0, 2, 0, 3, 3, 0, 1, 4, 3, 3, 2, 2, 2, 4, 4, 1, 0, 3, 2, 2, 2, 0, 1, 2, 4, 1, 2, 1, 2, 2, 3, 0, 2, 1, 2, 2, 2, 0, 3, 1, 2, 0, 3, 1, 0, 4, 4, 3, 1, 0, 4, 1, 2, 0, 2, 4, 0, 0, 4, 3, 2, 4, 3, 1, 0, 4, 1, 3, 4, 0, 2, 2, 1, 4, 3, 3, 3, 2, 3, 1, 0, 0, 1, 3, 1, 1, 4, 1, 3, 0, 3, 0, 2, 3, 1, 2, 4, 2, 4, 0, 0, 0, 3, 1, 3, 4, 1, 0, 4, 1, 1, 0, 3, 2, 4, 1, 1, 1, 3, 0, 4, 4, 4, 2, 4, 2, 2, 3, 0, 0, 3, 1, 0, 3, 3, 4, 0, 2, 2, 2, 3, 0, 3, 1, 3, 3, 3, 3, 1, 3, 1, 2, 0, 0, 3, 4, 0, 2, 4, 2, 0, 4, 1, 3, 0, 0, 4, 2, 3, 0, 4, 3, 1, 0, 1, 4, 0, 1, 3, 1, 3, 0, 2, 2, 2, 3, 3, 0, 0, 1, 4, 0, 3, 0, 4, 4, 3, 1, 3, 0, 0, 2, 4, 1, 4, 3, 0, 1, 4, 2, 3, 1, 3, 1, 4, 3, 4, 1, 3, 3, 3, 4, 0, 4, 4] pubkeycol1529 = [3, 4, 4, 1, 1, 3, 0, 2, 3, 2, 0, 1, 3, 1, 4, 1, 0, 2, 3, 3, 2, 2, 4, 3, 4, 0, 0, 1, 2, 2, 4, 3, 3, 1, 4, 1, 2, 3, 4, 0, 2, 4, 0, 3, 0, 3, 3, 0, 1, 0, 0, 1, 4, 4, 2, 3, 4, 1, 3, 1, 4, 4, 3, 4, 2, 2, 4, 0, 0, 0, 4, 2, 0, 2, 2, 4, 1, 0, 0, 4, 4, 3, 4, 2, 4, 3, 1, 0, 4, 2, 3, 1, 2, 1, 4, 3, 1, 0, 2, 4, 1, 4, 4, 4, 4, 1, 3, 3, 3, 1, 0, 3, 4, 4, 4, 4, 2, 3, 2, 3, 2, 3, 2, 4, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 2, 1, 2, 1, 1, 2, 2, 2, 4, 2, 2, 4, 4, 1, 0, 1, 2, 1, 4, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 0, 3, 3, 3, 1, 1, 4, 2, 0, 4, 4, 0, 2, 4, 2, 0, 2, 3, 1, 4, 0, 2, 3, 3, 2, 4, 3, 4, 0, 1, 4, 1, 3, 3, 0, 0, 1, 1, 1, 2, 1, 4, 0, 0, 3, 2, 4, 3, 1, 3, 0, 3, 3, 2, 3, 1, 4, 0, 1, 2, 0, 2, 1, 3, 1, 4, 3, 1, 1, 2, 2, 3, 0, 1, 2, 1, 4, 0, 3, 4, 4, 1, 0, 1, 0, 2, 4, 1, 1, 4, 3, 1, 1, 2, 1, 1, 3, 3, 2, 1, 3, 1, 3, 1, 1, 0, 0, 4, 3, 4, 3, 1, 1, 2, 1, 3, 4, 2, 0, 2, 0, 2, 4, 3, 3, 3, 3, 1, 1, 2, 4, 1, 4, 3, 2, 4, 1, 1, 0, 0, 0, 4, 3, 1, 3, 1, 0, 4, 4, 2, 1, 0, 4, 0, 3, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 4, 1, 1, 2, 2, 2, 3, 0, 2, 4, 1, 1, 0, 2, 1, 4, 3, 1, 4, 4, 2, 3, 4, 2, 0, 1, 2, 0, 3, 4, 4, 4, 3, 0, 3, 1, 2, 2, 1, 4, 0, 2, 4, 4, 2, 3, 1, 2, 2, 4, 2, 3, 0, 3, 1, 0, 2, 3, 4, 3, 3, 0, 2, 0, 2, 2] pubkeycol1530 = [3, 4, 4, 1, 3, 2, 1, 1, 4, 4, 2, 4, 4, 4, 3, 4, 1, 3, 2, 3, 4, 0, 4, 2, 3, 1, 4, 0, 3, 2, 1, 4, 1, 0, 2, 1, 4, 3, 2, 2, 0, 0, 4, 0, 1, 1, 3, 0, 0, 3, 4, 3, 2, 3, 4, 1, 0, 1, 1, 0, 0, 3, 2, 2, 1, 3, 3, 4, 4, 3, 1, 4, 0, 4, 1, 4, 0, 1, 0, 0, 3, 0, 1, 0, 0, 1, 3, 0, 3, 3, 4, 1, 3, 1, 4, 3, 1, 3, 4, 3, 1, 3, 0, 0, 4, 0, 0, 4, 1, 4, 4, 1, 4, 0, 1, 1, 4, 3, 3, 2, 0, 0, 3, 2, 4, 0, 4, 4, 0, 3, 0, 4, 3, 3, 3, 4, 4, 4, 0, 3, 0, 1, 1, 1, 2, 2, 2, 0, 3, 3, 4, 4, 3, 2, 2, 2, 2, 3, 1, 1, 3, 4, 3, 4, 1, 4, 4, 4, 0, 4, 0, 4, 2, 3, 2, 2, 2, 3, 1, 4, 3, 2, 4, 3, 1, 1, 3, 2, 1, 0, 4, 0, 1, 0, 4, 2, 2, 2, 2, 1, 0, 4, 1, 4, 3, 1, 3, 4, 2, 3, 2, 4, 3, 3, 1, 3, 1, 1, 1, 0, 1, 2, 4, 4, 1, 4, 1, 1, 4, 0, 1, 0, 0, 2, 1, 4, 2, 2, 1, 0, 3, 1, 3, 4, 3, 4, 0, 4, 4, 3, 0, 3, 4, 4, 3, 3, 2, 2, 4, 4, 1, 4, 0, 2, 0, 0, 0, 2, 4, 2, 3, 3, 3, 3, 1, 2, 1, 1, 4, 0, 2, 3, 0, 2, 3, 4, 4, 2, 2, 3, 2, 1, 3, 0, 2, 1, 4, 2, 4, 1, 0, 2, 2, 3, 3, 2, 2, 1, 3, 4, 2, 0, 3, 1, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 3, 3, 3, 4, 4, 1, 2, 0, 0, 0, 1, 2, 3, 3, 0, 4, 1, 0, 1, 1, 3, 0, 0, 3, 1, 4, 1, 0, 2, 1, 0, 4, 4, 0, 4, 3, 3, 2, 4, 0, 2, 3, 2, 3, 3, 2, 0, 4, 0, 0, 2, 4, 1, 1, 2, 3, 1, 1, 0, 4, 1, 0, 4, 1, 0, 3, 3, 1, 1, 2, 0, 3, 4, 4, 3, 4] pubkeycol1531 = [4, 0, 2, 4, 1, 4, 3, 3, 2, 3, 1, 4, 1, 3, 1, 1, 4, 2, 3, 4, 2, 0, 1, 0, 2, 0, 3, 0, 0, 3, 4, 1, 2, 0, 3, 2, 3, 4, 3, 1, 1, 0, 3, 3, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 3, 3, 0, 2, 1, 2, 4, 4, 3, 4, 4, 0, 2, 4, 3, 2, 4, 0, 4, 4, 1, 1, 4, 2, 4, 2, 2, 0, 2, 2, 1, 4, 3, 0, 2, 1, 2, 4, 1, 0, 1, 1, 1, 1, 2, 4, 2, 3, 0, 2, 4, 2, 2, 3, 1, 2, 1, 2, 1, 0, 4, 1, 4, 0, 0, 3, 0, 2, 0, 4, 3, 4, 2, 3, 0, 3, 1, 1, 4, 0, 2, 4, 1, 1, 1, 3, 2, 0, 0, 3, 2, 3, 1, 2, 2, 3, 4, 0, 4, 1, 0, 2, 0, 3, 2, 1, 3, 4, 0, 2, 2, 0, 2, 2, 4, 1, 3, 0, 4, 2, 2, 1, 0, 3, 1, 4, 3, 4, 4, 0, 0, 4, 1, 1, 2, 0, 3, 1, 3, 0, 4, 0, 3, 1, 3, 4, 1, 0, 2, 0, 1, 2, 0, 0, 4, 1, 0, 2, 1, 2, 1, 3, 3, 1, 3, 2, 4, 2, 1, 2, 2, 3, 0, 1, 0, 4, 2, 0, 1, 3, 1, 3, 1, 0, 4, 3, 4, 1, 1, 4, 2, 1, 0, 2, 3, 3, 3, 4, 3, 0, 3, 4, 2, 4, 0, 4, 3, 2, 4, 3, 1, 1, 1, 4, 2, 3, 3, 2, 3, 4, 4, 3, 0, 3, 1, 4, 1, 2, 1, 0, 2, 2, 0, 4, 1, 3, 0, 3, 4, 4, 2, 4, 4, 2, 2, 4, 4, 3, 4, 3, 0, 2, 1, 0, 4, 1, 2, 3, 0, 3, 3, 3, 0, 3, 4, 2, 4, 4, 0, 4, 2, 2, 2, 1, 1, 1, 1, 4, 3, 2, 0, 4, 2, 4, 0, 1, 4, 1, 1, 4, 4, 2, 4, 4, 0, 4, 1, 4, 0, 3, 0, 0, 4, 2, 4, 1, 1, 4, 1, 1, 1, 2, 3, 0, 3, 3, 0, 3, 3, 1, 1, 0, 4, 4, 3, 4, 0, 0, 4, 2, 1, 0, 2, 2, 0, 3, 0, 3, 2, 0, 0, 2, 4, 1, 3] pubkeycol1532 = [4, 4, 3, 3, 4, 4, 0, 4, 0, 3, 0, 1, 1, 3, 2, 2, 3, 3, 0, 0, 1, 1, 0, 3, 1, 3, 2, 0, 4, 4, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 4, 3, 0, 0, 3, 2, 4, 2, 3, 3, 0, 1, 2, 2, 3, 2, 2, 4, 3, 3, 4, 4, 2, 1, 2, 1, 0, 4, 2, 2, 3, 3, 3, 2, 1, 0, 4, 2, 3, 4, 2, 4, 3, 4, 0, 2, 4, 4, 2, 3, 3, 4, 2, 1, 0, 4, 4, 3, 0, 1, 2, 1, 3, 4, 1, 3, 2, 1, 2, 3, 1, 0, 3, 2, 0, 3, 3, 2, 0, 1, 0, 3, 4, 2, 2, 1, 1, 2, 2, 1, 3, 0, 1, 4, 2, 4, 2, 1, 4, 0, 1, 1, 0, 2, 3, 1, 1, 4, 4, 2, 4, 2, 2, 0, 2, 1, 0, 4, 1, 0, 2, 4, 1, 0, 4, 0, 0, 3, 4, 3, 3, 2, 2, 4, 1, 4, 2, 1, 1, 3, 2, 0, 4, 2, 1, 1, 3, 1, 4, 2, 2, 2, 3, 1, 3, 3, 4, 0, 3, 0, 2, 3, 2, 2, 0, 4, 4, 0, 0, 4, 3, 0, 0, 1, 2, 4, 0, 2, 3, 1, 1, 4, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 3, 0, 4, 2, 3, 1, 0, 4, 1, 4, 3, 0, 0, 4, 1, 1, 4, 1, 2, 4, 1, 0, 1, 2, 0, 1, 4, 4, 0, 3, 2, 1, 4, 2, 0, 4, 2, 4, 0, 2, 3, 1, 3, 3, 4, 3, 1, 2, 3, 4, 3, 1, 3, 2, 4, 1, 2, 0, 1, 0, 2, 1, 4, 1, 2, 2, 4, 2, 4, 1, 3, 0, 0, 0, 0, 2, 1, 2, 3, 3, 2, 3, 4, 0, 1, 1, 4, 4, 3, 2, 1, 4, 1, 0, 3, 2, 3, 2, 3, 3, 4, 3, 3, 1, 1, 0, 3, 1, 1, 0, 4, 2, 3, 2, 2, 3, 2, 3, 4, 3, 2, 4, 1, 0, 3, 2, 4, 0, 1, 0, 4, 1, 2, 4, 2, 1, 4, 4, 2, 4, 1, 3, 2, 2, 3, 0, 2, 4, 3, 3, 1, 0, 2, 2, 0, 4, 3, 2, 1, 2, 0, 0, 4, 2, 0, 2] pubkeycol1533 = [1, 1, 0, 1, 4, 3, 4, 0, 3, 3, 2, 0, 1, 4, 3, 0, 2, 1, 1, 4, 1, 3, 1, 2, 3, 3, 3, 4, 2, 2, 2, 4, 1, 1, 2, 2, 0, 1, 0, 4, 2, 1, 4, 4, 4, 0, 0, 3, 4, 3, 0, 3, 0, 3, 1, 3, 4, 4, 2, 3, 4, 1, 0, 0, 0, 1, 4, 0, 1, 4, 3, 4, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 4, 0, 3, 0, 1, 1, 4, 0, 1, 1, 4, 4, 3, 1, 4, 3, 4, 4, 0, 1, 4, 1, 4, 2, 1, 3, 0, 4, 0, 4, 1, 1, 3, 0, 4, 4, 4, 1, 0, 4, 0, 1, 2, 4, 2, 4, 4, 2, 0, 1, 3, 0, 4, 3, 0, 0, 2, 2, 4, 1, 0, 3, 0, 3, 0, 3, 0, 1, 3, 2, 1, 0, 4, 1, 2, 1, 3, 3, 0, 1, 3, 0, 0, 0, 0, 2, 0, 0, 3, 1, 1, 3, 1, 4, 4, 3, 1, 0, 4, 1, 0, 3, 4, 4, 1, 3, 0, 2, 0, 1, 2, 1, 0, 1, 4, 2, 4, 2, 2, 3, 2, 4, 2, 3, 4, 1, 1, 1, 0, 4, 3, 4, 0, 2, 1, 0, 1, 0, 4, 1, 3, 0, 1, 2, 0, 1, 2, 3, 4, 4, 3, 0, 2, 2, 3, 1, 4, 2, 1, 3, 0, 3, 1, 3, 1, 3, 0, 2, 4, 1, 4, 1, 0, 3, 0, 1, 1, 2, 3, 2, 0, 2, 4, 0, 2, 3, 0, 2, 0, 1, 2, 1, 0, 0, 3, 1, 3, 0, 3, 4, 3, 3, 0, 2, 1, 4, 2, 3, 1, 1, 3, 4, 3, 3, 2, 1, 1, 3, 4, 2, 1, 3, 4, 0, 0, 2, 2, 0, 0, 1, 3, 2, 2, 1, 3, 2, 1, 3, 3, 0, 1, 2, 0, 2, 3, 1, 0, 0, 1, 4, 4, 1, 4, 2, 1, 2, 2, 1, 4, 4, 2, 3, 4, 4, 0, 3, 4, 1, 0, 0, 4, 4, 0, 0, 3, 1, 3, 4, 0, 0, 3, 1, 4, 0, 0, 4, 2, 1, 0, 3, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 3, 4, 2, 1, 4, 4, 4, 3, 0, 1, 2, 3, 4, 4, 4] pubkeycol1534 = [3, 4, 3, 0, 2, 2, 0, 4, 3, 0, 1, 1, 3, 1, 1, 0, 1, 2, 3, 4, 3, 0, 4, 4, 4, 0, 1, 4, 0, 4, 1, 2, 3, 3, 0, 2, 1, 4, 1, 2, 4, 3, 2, 2, 0, 3, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 3, 3, 4, 4, 0, 2, 4, 4, 1, 2, 1, 0, 4, 3, 4, 4, 2, 3, 0, 1, 1, 2, 4, 3, 4, 0, 2, 3, 3, 0, 3, 4, 4, 2, 4, 3, 4, 3, 4, 2, 0, 2, 0, 3, 3, 4, 4, 2, 1, 1, 3, 4, 3, 3, 4, 4, 2, 2, 2, 2, 1, 2, 4, 3, 3, 2, 0, 4, 3, 3, 4, 2, 4, 2, 4, 1, 0, 1, 2, 1, 0, 3, 3, 3, 4, 0, 2, 1, 4, 0, 4, 3, 2, 2, 4, 3, 0, 4, 2, 2, 1, 4, 1, 2, 2, 1, 0, 4, 0, 4, 2, 4, 1, 4, 2, 1, 3, 3, 2, 4, 2, 3, 3, 4, 4, 2, 1, 4, 2, 3, 0, 2, 4, 1, 0, 0, 0, 4, 2, 1, 1, 0, 1, 0, 4, 0, 4, 4, 0, 4, 3, 2, 4, 1, 1, 2, 1, 0, 2, 0, 3, 3, 0, 4, 4, 3, 4, 4, 1, 4, 1, 2, 0, 4, 3, 3, 3, 0, 1, 4, 4, 2, 2, 4, 2, 2, 0, 1, 3, 1, 2, 3, 2, 4, 4, 4, 0, 0, 3, 4, 2, 2, 1, 2, 2, 2, 4, 3, 2, 3, 0, 0, 0, 4, 1, 0, 4, 1, 2, 1, 1, 0, 4, 3, 4, 1, 1, 2, 1, 1, 3, 4, 0, 4, 0, 1, 3, 4, 1, 0, 1, 1, 4, 3, 2, 3, 1, 3, 3, 3, 0, 1, 3, 0, 0, 0, 4, 2, 3, 0, 2, 1, 0, 3, 2, 3, 1, 2, 3, 1, 0, 1, 3, 0, 3, 4, 2, 4, 0, 4, 0, 0, 2, 3, 3, 4, 1, 4, 4, 4, 4, 0, 3, 3, 1, 1, 3, 2, 4, 0, 1, 1, 4, 0, 3, 1, 0, 3, 0, 0, 3, 2, 1, 4, 0, 0, 4, 0, 0, 2, 2, 2, 4, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 3, 0, 2, 1, 2, 2] pubkeycol1535 = [3, 2, 4, 4, 4, 4, 3, 3, 4, 2, 4, 1, 4, 3, 2, 1, 4, 1, 0, 0, 2, 4, 3, 0, 1, 2, 2, 3, 4, 3, 4, 2, 3, 2, 3, 1, 1, 2, 2, 4, 2, 3, 2, 2, 4, 0, 3, 0, 0, 1, 3, 2, 3, 3, 1, 0, 1, 0, 4, 4, 0, 0, 0, 1, 0, 2, 4, 1, 2, 1, 3, 3, 0, 0, 0, 2, 1, 4, 0, 2, 1, 4, 0, 1, 2, 3, 0, 4, 1, 0, 3, 1, 2, 3, 4, 3, 2, 4, 3, 2, 0, 0, 1, 3, 4, 4, 4, 4, 0, 3, 1, 2, 1, 2, 0, 3, 3, 2, 3, 0, 1, 2, 3, 3, 2, 4, 2, 0, 2, 1, 2, 3, 4, 4, 4, 1, 0, 2, 4, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 4, 1, 2, 3, 4, 4, 4, 4, 0, 1, 0, 4, 3, 1, 0, 3, 1, 0, 0, 3, 0, 4, 2, 3, 1, 3, 2, 0, 3, 1, 2, 2, 2, 1, 1, 3, 3, 2, 4, 4, 1, 0, 0, 4, 2, 2, 3, 2, 0, 0, 1, 0, 1, 4, 3, 3, 0, 2, 2, 4, 1, 3, 0, 4, 4, 4, 1, 2, 4, 1, 4, 2, 3, 3, 2, 1, 0, 4, 3, 4, 2, 4, 3, 0, 1, 1, 1, 1, 1, 3, 3, 0, 1, 3, 2, 4, 1, 1, 3, 3, 1, 1, 4, 2, 3, 4, 1, 3, 1, 4, 4, 1, 2, 3, 0, 0, 4, 1, 4, 1, 0, 4, 1, 2, 3, 1, 0, 2, 4, 0, 1, 3, 1, 0, 3, 2, 1, 3, 4, 1, 0, 2, 1, 1, 3, 1, 2, 0, 2, 0, 2, 1, 3, 2, 0, 4, 3, 3, 0, 2, 2, 3, 2, 4, 1, 2, 1, 4, 3, 4, 1, 1, 3, 0, 3, 0, 2, 4, 0, 0, 0, 3, 2, 4, 4, 2, 0, 2, 3, 4, 4, 2, 1, 2, 2, 3, 3, 3, 2, 0, 1, 3, 2, 4, 1, 2, 2, 1, 1, 1, 3, 1, 3, 2, 4, 4, 3, 1, 1, 4, 3, 2, 0, 3, 0, 0, 0, 0, 4, 1, 4, 2, 4, 4, 1, 1, 2, 1, 0, 3, 1, 4, 3, 0, 0, 2, 1, 2, 2] pubkeycol1536 = [3, 0, 4, 2, 2, 3, 2, 3, 2, 0, 4, 2, 3, 0, 4, 1, 3, 4, 3, 0, 2, 2, 2, 3, 4, 2, 4, 1, 4, 2, 1, 0, 2, 4, 1, 2, 2, 0, 2, 1, 2, 1, 2, 4, 1, 4, 2, 2, 4, 2, 1, 2, 2, 4, 3, 2, 2, 3, 0, 4, 0, 0, 2, 4, 2, 3, 0, 0, 1, 3, 4, 4, 4, 4, 4, 1, 1, 0, 3, 2, 0, 1, 4, 0, 4, 1, 1, 0, 2, 3, 1, 1, 4, 1, 1, 4, 3, 2, 1, 0, 0, 3, 0, 3, 1, 3, 3, 2, 3, 2, 0, 1, 2, 3, 3, 2, 3, 0, 2, 0, 4, 0, 2, 0, 0, 0, 2, 3, 0, 3, 3, 0, 2, 2, 4, 1, 3, 1, 1, 1, 1, 1, 3, 4, 2, 0, 1, 0, 0, 2, 4, 4, 4, 4, 2, 1, 2, 0, 1, 1, 4, 1, 4, 4, 4, 2, 2, 1, 1, 0, 3, 1, 3, 3, 1, 2, 0, 3, 1, 0, 4, 0, 4, 2, 2, 2, 2, 1, 3, 1, 0, 2, 2, 3, 4, 2, 2, 2, 1, 3, 1, 3, 3, 1, 1, 3, 1, 4, 4, 3, 1, 1, 2, 2, 0, 3, 2, 2, 3, 3, 2, 0, 2, 1, 4, 2, 2, 4, 4, 1, 4, 0, 4, 4, 0, 0, 0, 1, 4, 3, 0, 0, 1, 0, 3, 3, 2, 4, 2, 1, 0, 3, 4, 4, 4, 0, 2, 4, 4, 3, 0, 3, 3, 4, 1, 1, 3, 4, 1, 1, 2, 1, 0, 4, 2, 0, 2, 0, 4, 4, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 3, 4, 4, 0, 3, 2, 1, 2, 1, 2, 0, 0, 3, 4, 4, 3, 0, 2, 3, 3, 0, 4, 1, 4, 3, 4, 0, 4, 1, 2, 2, 1, 3, 0, 3, 0, 3, 4, 4, 4, 2, 2, 4, 2, 2, 4, 1, 3, 3, 2, 4, 2, 0, 1, 0, 0, 3, 0, 0, 2, 3, 2, 1, 0, 1, 4, 0, 2, 1, 3, 2, 3, 1, 3, 4, 1, 2, 1, 2, 1, 4, 0, 3, 3, 4, 4, 0, 0, 0, 4, 1, 1, 3, 2, 3, 2, 2, 0, 0, 4, 3, 1, 1, 4, 4, 1, 3, 4, 0] pubkeycol1537 = [2, 1, 0, 1, 2, 0, 4, 3, 4, 0, 1, 0, 3, 0, 2, 3, 0, 4, 2, 2, 1, 4, 3, 4, 2, 3, 3, 1, 2, 4, 4, 3, 1, 0, 4, 4, 2, 0, 1, 3, 4, 4, 2, 2, 4, 3, 2, 1, 3, 2, 1, 1, 2, 3, 0, 3, 1, 1, 1, 2, 4, 2, 2, 4, 3, 4, 0, 3, 1, 1, 1, 2, 3, 4, 1, 4, 3, 3, 3, 1, 4, 3, 0, 1, 3, 4, 3, 2, 0, 4, 4, 2, 3, 0, 1, 3, 2, 2, 3, 2, 2, 3, 2, 1, 3, 0, 4, 1, 3, 3, 2, 1, 0, 0, 2, 1, 2, 3, 4, 2, 3, 2, 1, 1, 1, 1, 3, 3, 3, 1, 3, 1, 1, 4, 0, 2, 4, 2, 4, 3, 1, 4, 1, 3, 0, 0, 2, 3, 1, 0, 0, 1, 2, 3, 3, 4, 2, 1, 3, 1, 4, 2, 0, 3, 3, 3, 0, 1, 3, 4, 0, 2, 3, 4, 2, 0, 4, 4, 1, 0, 4, 4, 3, 4, 1, 2, 1, 3, 3, 0, 2, 3, 3, 4, 0, 4, 1, 1, 0, 0, 4, 0, 4, 4, 3, 0, 1, 3, 4, 1, 2, 0, 0, 4, 0, 3, 3, 0, 1, 3, 4, 4, 2, 3, 0, 4, 3, 1, 4, 4, 3, 0, 3, 0, 2, 3, 0, 4, 1, 2, 1, 1, 4, 2, 0, 1, 4, 0, 0, 1, 3, 4, 1, 1, 3, 0, 0, 1, 3, 4, 1, 1, 4, 3, 3, 1, 2, 0, 4, 2, 0, 4, 4, 2, 1, 0, 4, 3, 2, 2, 4, 2, 1, 4, 1, 1, 4, 1, 4, 1, 4, 2, 1, 0, 2, 2, 3, 1, 3, 3, 3, 0, 3, 3, 4, 0, 2, 0, 1, 0, 3, 1, 4, 1, 4, 3, 2, 1, 4, 1, 2, 3, 3, 3, 4, 0, 1, 0, 4, 2, 1, 1, 4, 3, 4, 2, 3, 2, 0, 1, 3, 0, 2, 2, 2, 0, 4, 0, 1, 0, 0, 2, 2, 1, 0, 4, 3, 3, 2, 4, 0, 1, 4, 1, 3, 4, 2, 0, 2, 2, 2, 3, 4, 1, 2, 1, 4, 0, 3, 4, 2, 3, 3, 2, 4, 1, 2, 2, 3, 3, 2, 3, 4, 4, 0, 2, 3, 4, 4, 0] pubkeycol1538 = [2, 1, 3, 2, 3, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 3, 4, 4, 4, 3, 3, 2, 0, 0, 1, 3, 3, 2, 4, 1, 2, 4, 4, 1, 1, 0, 0, 2, 4, 1, 4, 1, 0, 4, 3, 1, 1, 2, 4, 4, 0, 4, 4, 0, 2, 0, 4, 4, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 3, 1, 4, 1, 1, 1, 3, 3, 4, 3, 0, 0, 0, 1, 2, 1, 2, 0, 3, 1, 0, 1, 0, 2, 3, 2, 3, 2, 2, 4, 1, 0, 2, 4, 3, 2, 3, 1, 1, 2, 3, 2, 4, 0, 2, 3, 0, 3, 1, 2, 1, 1, 1, 2, 4, 2, 3, 0, 0, 4, 4, 4, 2, 4, 3, 1, 0, 0, 3, 3, 4, 2, 2, 1, 4, 1, 1, 2, 0, 2, 4, 1, 2, 2, 4, 2, 4, 2, 0, 2, 4, 3, 3, 1, 2, 0, 0, 2, 0, 1, 3, 4, 0, 1, 0, 3, 0, 3, 1, 0, 0, 4, 3, 1, 3, 2, 4, 2, 3, 2, 0, 3, 2, 2, 0, 2, 2, 3, 3, 3, 2, 4, 0, 1, 1, 3, 3, 2, 3, 4, 3, 3, 0, 3, 3, 2, 2, 0, 4, 0, 4, 1, 1, 1, 3, 0, 0, 4, 2, 2, 2, 2, 2, 1, 3, 0, 4, 1, 4, 1, 0, 0, 2, 0, 1, 3, 0, 3, 1, 3, 4, 2, 0, 2, 4, 3, 4, 1, 0, 1, 1, 2, 0, 1, 4, 3, 0, 0, 2, 2, 1, 2, 0, 0, 2, 4, 1, 3, 0, 1, 0, 3, 1, 4, 1, 4, 2, 3, 4, 4, 4, 1, 1, 3, 3, 4, 0, 3, 3, 2, 1, 4, 4, 2, 4, 2, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 0, 0, 0, 2, 2, 3, 2, 1, 4, 2, 3, 0, 4, 1, 4, 1, 1, 1, 4, 0, 1, 3, 4, 3, 1, 0, 0, 0, 4, 4, 4, 4, 0, 2, 0, 0, 0, 3, 1, 2, 3, 2, 0, 3, 0, 4, 3, 1, 0, 1, 4, 0, 2, 0, 2, 2, 2, 0, 1, 4, 1, 4, 0, 1, 3, 0, 0, 1, 2, 1, 1, 3, 0, 4, 4, 2, 0, 2, 1, 0, 2, 4] pubkeycol1539 = [1, 1, 3, 2, 1, 1, 3, 0, 2, 3, 3, 2, 0, 4, 2, 0, 0, 0, 0, 1, 1, 3, 1, 3, 2, 2, 0, 4, 3, 4, 1, 0, 3, 1, 3, 0, 3, 0, 4, 1, 2, 0, 2, 3, 3, 3, 2, 4, 3, 0, 3, 3, 4, 1, 2, 2, 1, 2, 3, 4, 3, 2, 4, 3, 0, 4, 3, 0, 3, 3, 3, 4, 0, 1, 2, 2, 3, 4, 3, 2, 2, 0, 3, 1, 0, 0, 3, 2, 4, 3, 3, 3, 3, 4, 2, 3, 0, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 3, 0, 1, 2, 1, 4, 4, 1, 0, 4, 3, 1, 1, 1, 2, 3, 2, 4, 1, 2, 3, 0, 0, 0, 4, 2, 2, 1, 1, 2, 3, 4, 4, 0, 4, 3, 3, 4, 2, 1, 2, 3, 2, 0, 3, 4, 2, 4, 3, 1, 4, 4, 4, 4, 4, 2, 0, 0, 1, 2, 1, 0, 3, 0, 2, 2, 3, 4, 4, 0, 4, 1, 4, 4, 1, 2, 0, 4, 0, 2, 3, 1, 2, 4, 1, 3, 3, 1, 4, 2, 1, 4, 0, 1, 0, 3, 1, 3, 4, 1, 0, 1, 2, 2, 0, 3, 2, 2, 4, 0, 4, 0, 0, 3, 4, 4, 1, 1, 0, 4, 0, 2, 0, 0, 4, 3, 3, 4, 0, 0, 2, 3, 1, 4, 4, 4, 2, 1, 4, 1, 3, 4, 1, 0, 1, 3, 2, 3, 2, 3, 2, 1, 0, 4, 1, 4, 0, 0, 1, 3, 3, 4, 0, 3, 4, 2, 2, 3, 1, 1, 2, 1, 1, 1, 4, 3, 1, 4, 4, 3, 1, 4, 0, 3, 0, 1, 3, 2, 0, 1, 4, 3, 3, 2, 2, 2, 0, 0, 0, 2, 1, 2, 4, 1, 3, 4, 4, 2, 0, 2, 4, 3, 4, 0, 0, 4, 4, 3, 0, 3, 0, 4, 2, 1, 3, 2, 1, 2, 3, 3, 1, 1, 3, 4, 0, 0, 1, 3, 4, 4, 3, 2, 0, 1, 0, 2, 3, 4, 4, 2, 2, 0, 4, 0, 0, 0, 3, 2, 4, 1, 3, 2, 2, 1, 2, 1, 0, 0, 1, 1, 4, 3, 2, 1, 4, 3, 1, 4, 2, 1, 0, 3, 1, 1, 1, 1, 4, 3, 1, 1, 0, 2, 2] pubkeycol1540 = [0, 3, 2, 3, 1, 0, 0, 0, 1, 0, 2, 2, 4, 2, 2, 1, 4, 2, 0, 1, 4, 0, 0, 4, 4, 4, 4, 2, 3, 4, 3, 3, 1, 2, 1, 1, 1, 0, 2, 3, 3, 4, 0, 0, 3, 2, 0, 4, 4, 4, 2, 3, 1, 4, 3, 1, 2, 1, 0, 4, 0, 0, 3, 0, 4, 0, 4, 1, 3, 0, 3, 1, 4, 0, 4, 1, 1, 2, 2, 1, 2, 3, 3, 1, 0, 3, 1, 4, 1, 3, 0, 0, 0, 3, 0, 4, 3, 2, 3, 0, 3, 1, 2, 0, 1, 0, 0, 3, 0, 0, 0, 2, 3, 4, 2, 0, 0, 3, 4, 1, 0, 0, 0, 2, 1, 1, 3, 0, 2, 2, 2, 3, 2, 4, 2, 2, 4, 0, 4, 2, 3, 0, 1, 2, 2, 2, 3, 0, 4, 3, 0, 2, 3, 4, 0, 0, 4, 3, 3, 4, 3, 4, 4, 3, 1, 1, 4, 2, 0, 2, 3, 0, 4, 0, 2, 2, 2, 4, 0, 4, 3, 4, 1, 4, 3, 4, 0, 2, 4, 4, 3, 3, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 3, 3, 0, 3, 4, 0, 0, 0, 1, 3, 3, 4, 3, 0, 0, 0, 4, 2, 4, 3, 3, 4, 0, 4, 4, 2, 4, 2, 2, 1, 2, 0, 3, 3, 3, 1, 3, 1, 2, 2, 3, 4, 2, 1, 2, 2, 1, 2, 4, 3, 4, 0, 3, 2, 1, 2, 0, 3, 0, 1, 2, 0, 0, 1, 3, 4, 3, 1, 4, 2, 1, 4, 3, 4, 4, 4, 1, 1, 1, 1, 1, 2, 0, 4, 1, 1, 2, 2, 1, 2, 3, 0, 1, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 3, 2, 1, 0, 4, 0, 4, 0, 1, 1, 4, 0, 2, 4, 1, 2, 4, 0, 3, 0, 4, 1, 4, 1, 3, 3, 1, 0, 4, 1, 1, 1, 3, 2, 1, 2, 0, 4, 0, 4, 0, 3, 0, 0, 4, 2, 1, 2, 1, 0, 1, 4, 3, 2, 0, 0, 4, 4, 1, 4, 3, 4, 3, 2, 1, 1, 1, 1, 0, 3, 0, 0, 0, 2, 2, 4, 3, 4, 0, 3, 0, 2, 4, 4, 1, 2, 3, 4, 0, 4, 2, 2, 0, 1] pubkeycol1541 = [1, 2, 2, 3, 4, 2, 4, 4, 0, 4, 0, 3, 1, 0, 2, 4, 3, 4, 0, 4, 0, 0, 2, 2, 4, 4, 0, 4, 1, 0, 2, 3, 4, 0, 3, 3, 4, 4, 4, 3, 3, 0, 0, 4, 1, 0, 3, 3, 4, 1, 0, 2, 1, 2, 2, 4, 2, 0, 3, 4, 2, 0, 2, 4, 3, 3, 4, 4, 1, 1, 4, 3, 1, 1, 3, 1, 2, 2, 3, 3, 2, 2, 3, 4, 0, 2, 1, 3, 4, 2, 0, 0, 0, 4, 3, 2, 1, 4, 3, 2, 0, 1, 0, 2, 4, 3, 3, 2, 1, 3, 2, 4, 3, 0, 1, 3, 3, 2, 0, 4, 3, 4, 0, 4, 3, 4, 4, 4, 2, 2, 3, 1, 1, 3, 4, 4, 1, 3, 4, 2, 4, 1, 0, 2, 3, 1, 2, 1, 3, 3, 0, 2, 3, 1, 2, 0, 4, 4, 4, 4, 1, 4, 4, 3, 0, 2, 1, 2, 0, 2, 3, 3, 4, 4, 0, 3, 4, 2, 3, 0, 0, 4, 3, 1, 4, 4, 2, 2, 3, 1, 2, 3, 4, 3, 4, 1, 3, 2, 2, 3, 2, 0, 1, 0, 3, 1, 3, 4, 4, 0, 4, 1, 1, 2, 0, 4, 1, 1, 0, 2, 4, 0, 2, 3, 1, 1, 2, 2, 0, 2, 4, 4, 1, 4, 1, 3, 1, 1, 0, 4, 3, 1, 0, 0, 0, 2, 3, 1, 2, 2, 4, 3, 2, 0, 1, 4, 1, 0, 2, 4, 3, 3, 3, 4, 4, 0, 1, 4, 1, 1, 1, 3, 4, 4, 1, 2, 2, 0, 3, 1, 2, 3, 0, 1, 3, 2, 3, 3, 3, 0, 1, 1, 1, 2, 0, 4, 2, 4, 3, 4, 4, 0, 1, 4, 0, 3, 3, 3, 2, 1, 3, 0, 3, 2, 2, 3, 4, 2, 3, 0, 1, 3, 1, 0, 4, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 3, 0, 2, 2, 3, 1, 3, 3, 1, 4, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 4, 2, 3, 4, 2, 3, 1, 2, 2, 4, 1, 2, 3, 4, 4, 3, 2, 4, 2, 3, 4, 3, 3, 0, 3, 4, 2, 1, 1, 1, 4, 3, 0, 0, 1, 2, 1, 0, 3, 0, 4, 1, 0, 3, 4] pubkeycol1542 = [2, 2, 0, 2, 0, 4, 0, 4, 2, 0, 3, 3, 2, 0, 0, 1, 3, 4, 4, 3, 1, 4, 3, 2, 0, 1, 4, 4, 3, 3, 1, 3, 1, 2, 4, 3, 0, 4, 2, 2, 3, 4, 2, 2, 1, 4, 3, 2, 1, 4, 4, 3, 1, 0, 3, 0, 1, 3, 3, 4, 3, 2, 1, 2, 3, 0, 1, 3, 0, 1, 1, 1, 1, 4, 3, 2, 0, 4, 0, 1, 1, 0, 4, 3, 0, 4, 1, 2, 3, 2, 2, 3, 4, 2, 1, 2, 3, 1, 2, 3, 4, 3, 0, 1, 2, 4, 4, 3, 3, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 3, 4, 1, 1, 0, 1, 0, 3, 2, 2, 4, 1, 2, 1, 1, 3, 0, 2, 2, 3, 3, 1, 2, 4, 4, 0, 3, 3, 3, 3, 4, 4, 0, 1, 2, 4, 0, 1, 4, 0, 0, 1, 1, 3, 2, 0, 0, 4, 3, 4, 3, 0, 3, 4, 2, 1, 2, 3, 2, 4, 3, 3, 3, 2, 3, 4, 4, 0, 0, 4, 2, 0, 4, 3, 3, 4, 4, 3, 0, 0, 1, 1, 2, 4, 3, 0, 0, 1, 0, 4, 0, 1, 1, 4, 2, 0, 1, 1, 0, 4, 3, 4, 1, 4, 2, 4, 3, 3, 4, 4, 0, 1, 0, 1, 4, 1, 2, 1, 0, 0, 1, 1, 4, 0, 4, 0, 1, 3, 0, 2, 2, 4, 0, 4, 0, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 3, 2, 1, 4, 3, 3, 3, 0, 0, 1, 2, 4, 0, 3, 0, 4, 3, 2, 3, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 2, 2, 4, 3, 2, 3, 3, 2, 1, 4, 3, 0, 3, 1, 0, 3, 1, 3, 3, 3, 0, 4, 0, 1, 0, 3, 0, 1, 3, 1, 2, 2, 2, 4, 4, 0, 3, 0, 1, 4, 1, 2, 1, 2, 1, 4, 2, 4, 1, 2, 2, 3, 0, 1, 2, 0, 3, 4, 2, 3, 2, 0, 3, 3, 1, 4, 1, 4, 1, 0, 2, 2, 4, 1, 1, 4, 4, 1, 0, 4, 4, 2, 0, 2, 4, 2, 0, 4, 1, 0, 4, 0, 4, 3, 1, 0, 3, 3, 4, 0, 2, 0, 3, 4, 2, 3, 0] pubkeycol1543 = [3, 3, 3, 1, 2, 4, 4, 2, 4, 3, 0, 2, 3, 4, 4, 0, 0, 0, 2, 2, 4, 0, 2, 0, 0, 2, 1, 1, 3, 0, 0, 2, 4, 2, 3, 0, 1, 4, 4, 0, 0, 2, 3, 1, 0, 1, 1, 4, 0, 0, 2, 4, 3, 0, 2, 1, 1, 1, 4, 2, 4, 0, 4, 2, 4, 4, 3, 3, 4, 3, 2, 4, 4, 0, 1, 4, 4, 3, 0, 2, 0, 2, 2, 0, 2, 1, 3, 4, 2, 0, 0, 0, 3, 1, 2, 3, 1, 2, 3, 3, 4, 3, 1, 2, 4, 3, 4, 0, 4, 3, 4, 4, 2, 4, 0, 2, 2, 1, 2, 4, 0, 3, 0, 3, 0, 2, 1, 0, 3, 1, 4, 0, 4, 3, 3, 3, 0, 4, 1, 1, 3, 1, 3, 3, 4, 0, 1, 4, 0, 4, 2, 2, 1, 4, 0, 4, 0, 0, 1, 2, 0, 0, 1, 4, 4, 0, 4, 1, 3, 2, 2, 1, 0, 4, 4, 4, 0, 2, 3, 1, 1, 0, 1, 1, 4, 4, 2, 4, 2, 2, 3, 4, 1, 1, 4, 2, 4, 0, 4, 3, 1, 4, 3, 4, 4, 2, 4, 0, 4, 0, 1, 2, 4, 4, 2, 3, 4, 4, 3, 1, 1, 0, 1, 2, 2, 0, 3, 2, 0, 3, 3, 3, 4, 3, 4, 4, 4, 0, 4, 2, 3, 1, 1, 2, 3, 2, 2, 4, 2, 4, 1, 1, 3, 0, 2, 0, 4, 3, 2, 1, 4, 0, 0, 3, 1, 4, 4, 4, 0, 2, 4, 2, 3, 3, 0, 2, 0, 3, 2, 2, 3, 1, 0, 1, 0, 3, 4, 1, 3, 0, 0, 1, 3, 2, 1, 1, 3, 0, 4, 1, 4, 4, 3, 3, 4, 0, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 4, 1, 4, 1, 2, 1, 4, 1, 2, 1, 3, 2, 0, 3, 2, 3, 0, 3, 0, 4, 0, 0, 0, 3, 2, 4, 1, 4, 0, 1, 2, 1, 1, 4, 2, 0, 1, 4, 3, 0, 3, 1, 0, 4, 2, 4, 2, 4, 0, 4, 1, 3, 3, 1, 2, 2, 2, 4, 0, 4, 4, 4, 1, 3, 3, 0, 1, 0, 2, 0, 2, 1, 4, 1, 4, 3, 4, 1, 2, 2, 0, 3, 2, 3] pubkeycol1544 = [3, 3, 1, 3, 0, 1, 4, 4, 1, 1, 4, 0, 0, 1, 4, 4, 2, 3, 3, 2, 0, 4, 0, 2, 2, 0, 1, 1, 0, 0, 3, 3, 2, 3, 1, 4, 3, 2, 1, 4, 1, 2, 3, 3, 3, 0, 2, 1, 0, 3, 2, 4, 3, 3, 0, 0, 0, 3, 3, 2, 2, 1, 3, 4, 4, 4, 2, 3, 2, 3, 0, 0, 1, 2, 4, 3, 3, 4, 4, 3, 4, 1, 2, 4, 4, 2, 3, 0, 2, 4, 0, 3, 0, 0, 1, 4, 3, 4, 4, 3, 1, 3, 0, 1, 0, 4, 0, 3, 4, 0, 3, 3, 4, 2, 3, 3, 2, 2, 4, 2, 2, 4, 0, 3, 3, 0, 3, 1, 1, 2, 4, 1, 1, 3, 3, 2, 2, 3, 2, 4, 0, 0, 3, 0, 0, 4, 2, 4, 3, 2, 3, 3, 2, 1, 0, 1, 4, 3, 1, 2, 1, 4, 4, 4, 1, 2, 1, 0, 4, 3, 0, 2, 0, 1, 0, 2, 3, 4, 4, 0, 4, 1, 2, 1, 4, 4, 4, 1, 0, 4, 2, 3, 3, 2, 3, 3, 1, 4, 0, 0, 2, 4, 0, 3, 4, 4, 0, 0, 3, 4, 0, 0, 3, 0, 3, 3, 3, 3, 1, 3, 4, 2, 1, 0, 1, 4, 2, 3, 3, 0, 0, 1, 4, 1, 4, 0, 1, 0, 3, 1, 3, 0, 4, 2, 2, 2, 1, 3, 0, 2, 0, 3, 1, 3, 3, 2, 4, 3, 1, 4, 3, 0, 1, 3, 1, 1, 2, 4, 2, 0, 4, 3, 0, 3, 3, 4, 1, 2, 4, 0, 3, 0, 2, 3, 2, 4, 1, 2, 3, 4, 3, 1, 4, 3, 2, 3, 2, 0, 1, 2, 1, 2, 3, 1, 1, 4, 1, 0, 0, 4, 2, 4, 0, 4, 0, 4, 1, 1, 2, 3, 0, 2, 4, 1, 4, 0, 4, 4, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 3, 4, 4, 0, 4, 4, 3, 4, 0, 1, 0, 0, 4, 1, 0, 4, 4, 1, 3, 0, 1, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 4, 4, 0, 3, 4, 0, 3, 2, 2, 3, 1, 3, 2, 0, 3, 2, 1, 0, 4, 1, 0, 0, 0, 2, 3, 3, 0, 2, 1, 3, 4] pubkeycol1545 = [4, 4, 2, 4, 2, 2, 1, 3, 4, 1, 1, 2, 0, 4, 0, 0, 4, 1, 1, 4, 0, 1, 0, 4, 1, 3, 3, 2, 4, 0, 1, 2, 4, 0, 0, 2, 2, 4, 1, 1, 1, 0, 1, 2, 4, 2, 2, 1, 3, 2, 1, 4, 3, 2, 3, 3, 2, 4, 2, 4, 0, 2, 2, 1, 3, 4, 3, 3, 4, 2, 1, 2, 3, 2, 4, 1, 4, 1, 1, 3, 2, 0, 3, 3, 2, 2, 2, 4, 4, 2, 0, 3, 1, 3, 3, 4, 1, 4, 1, 1, 2, 3, 2, 0, 1, 4, 0, 1, 2, 0, 4, 1, 0, 0, 4, 4, 1, 1, 0, 3, 0, 0, 4, 3, 3, 3, 3, 1, 2, 4, 0, 0, 1, 1, 3, 4, 0, 4, 0, 2, 2, 2, 0, 4, 4, 0, 4, 3, 2, 2, 4, 1, 4, 0, 1, 3, 4, 1, 2, 1, 4, 1, 0, 4, 2, 1, 0, 3, 0, 2, 3, 0, 3, 2, 0, 4, 1, 1, 0, 4, 0, 0, 1, 1, 1, 3, 2, 2, 0, 4, 2, 2, 2, 3, 2, 3, 0, 4, 3, 0, 1, 0, 1, 0, 2, 0, 4, 1, 0, 0, 3, 3, 2, 2, 3, 0, 2, 3, 1, 3, 3, 0, 3, 1, 4, 3, 1, 3, 1, 2, 3, 4, 1, 0, 4, 0, 2, 2, 0, 4, 2, 0, 1, 0, 3, 3, 1, 2, 4, 0, 4, 4, 1, 3, 0, 4, 3, 3, 2, 2, 3, 4, 1, 1, 0, 2, 3, 2, 4, 1, 3, 0, 3, 2, 3, 3, 2, 0, 1, 0, 3, 1, 2, 0, 4, 2, 1, 1, 3, 3, 1, 1, 2, 0, 0, 3, 1, 2, 4, 1, 1, 4, 4, 0, 1, 4, 0, 2, 4, 1, 3, 4, 0, 1, 4, 2, 1, 3, 1, 1, 3, 1, 2, 4, 1, 3, 0, 0, 1, 4, 4, 1, 4, 3, 2, 3, 4, 1, 4, 1, 3, 0, 4, 0, 1, 1, 0, 2, 4, 3, 3, 4, 4, 2, 4, 1, 3, 4, 2, 0, 4, 3, 3, 4, 3, 2, 2, 0, 1, 2, 1, 2, 3, 1, 2, 2, 3, 0, 2, 0, 0, 3, 1, 1, 1, 2, 1, 3, 4, 0, 0, 0, 2, 0, 1, 4, 2, 0, 3, 0] pubkeycol1546 = [4, 4, 0, 0, 4, 3, 4, 2, 3, 3, 1, 2, 2, 3, 0, 1, 2, 0, 2, 3, 0, 3, 2, 3, 1, 4, 3, 2, 0, 0, 0, 0, 4, 1, 4, 1, 4, 4, 3, 4, 1, 1, 1, 3, 4, 3, 1, 3, 1, 2, 1, 1, 4, 3, 2, 4, 0, 2, 0, 3, 1, 1, 1, 2, 2, 0, 4, 4, 4, 2, 4, 3, 3, 3, 2, 0, 3, 1, 0, 3, 2, 0, 4, 1, 2, 2, 4, 2, 2, 1, 1, 3, 3, 2, 4, 4, 2, 4, 0, 2, 4, 4, 0, 1, 0, 4, 4, 1, 4, 0, 2, 1, 3, 2, 1, 3, 0, 3, 1, 3, 4, 1, 1, 2, 3, 1, 3, 4, 1, 3, 4, 0, 3, 1, 0, 4, 3, 2, 3, 2, 1, 1, 4, 0, 3, 1, 0, 2, 4, 3, 1, 2, 3, 0, 1, 3, 0, 2, 1, 1, 3, 3, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 3, 2, 0, 1, 2, 4, 1, 4, 1, 0, 0, 4, 4, 4, 2, 3, 2, 2, 4, 3, 2, 3, 4, 4, 1, 0, 3, 3, 2, 2, 0, 3, 0, 4, 3, 1, 3, 3, 2, 0, 3, 0, 1, 3, 1, 3, 4, 1, 1, 3, 1, 2, 0, 3, 2, 1, 1, 3, 1, 3, 4, 4, 0, 1, 3, 0, 2, 0, 2, 0, 0, 4, 2, 3, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 3, 3, 1, 3, 3, 4, 2, 3, 1, 2, 1, 2, 0, 0, 2, 0, 2, 3, 3, 4, 4, 2, 2, 3, 0, 2, 4, 4, 2, 3, 0, 4, 1, 1, 3, 1, 1, 3, 0, 3, 4, 3, 1, 2, 1, 3, 3, 4, 4, 3, 4, 0, 4, 4, 1, 3, 0, 2, 3, 1, 2, 1, 2, 0, 2, 4, 1, 3, 0, 3, 3, 0, 3, 3, 2, 3, 0, 4, 2, 0, 0, 0, 3, 2, 2, 3, 3, 2, 0, 0, 2, 3, 2, 3, 2, 1, 0, 3, 2, 1, 0, 2, 4, 0, 3, 2, 1, 0, 3, 3, 1, 2, 0, 3, 1, 3, 4, 1, 3, 4, 2, 4, 4, 4, 1, 1, 0, 3, 2, 1, 2, 1, 4, 4, 0, 4, 2, 0, 1, 1, 2, 2, 3] pubkeycol1547 = [4, 4, 3, 1, 2, 2, 2, 0, 0, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 1, 1, 2, 2, 3, 2, 2, 3, 1, 0, 0, 3, 4, 3, 3, 4, 2, 4, 1, 4, 2, 4, 2, 0, 3, 2, 3, 3, 4, 1, 3, 4, 2, 1, 4, 1, 1, 0, 3, 0, 3, 1, 4, 2, 0, 0, 3, 4, 1, 4, 3, 4, 3, 4, 4, 3, 0, 1, 2, 1, 4, 1, 2, 0, 0, 3, 2, 1, 2, 4, 0, 4, 4, 4, 3, 3, 4, 4, 1, 1, 4, 4, 3, 4, 2, 0, 4, 3, 0, 3, 4, 1, 4, 4, 0, 0, 0, 3, 2, 0, 3, 0, 0, 0, 0, 3, 0, 3, 4, 4, 0, 4, 0, 0, 0, 2, 0, 1, 2, 2, 4, 0, 2, 3, 3, 1, 2, 2, 1, 3, 1, 3, 1, 0, 1, 3, 1, 2, 0, 3, 3, 1, 0, 4, 1, 0, 1, 2, 1, 3, 2, 1, 4, 2, 3, 4, 3, 1, 4, 3, 4, 3, 3, 2, 3, 1, 0, 4, 2, 3, 3, 1, 4, 1, 1, 4, 2, 2, 0, 1, 4, 4, 0, 1, 2, 0, 2, 2, 4, 4, 4, 1, 4, 1, 2, 1, 1, 4, 4, 2, 3, 2, 3, 4, 2, 1, 1, 0, 1, 0, 2, 3, 0, 0, 3, 1, 0, 3, 0, 2, 2, 4, 2, 1, 0, 0, 4, 2, 1, 1, 1, 0, 3, 4, 2, 3, 1, 3, 2, 4, 4, 3, 1, 3, 1, 2, 1, 2, 1, 0, 1, 2, 3, 0, 2, 2, 0, 4, 1, 3, 2, 3, 3, 0, 0, 1, 1, 4, 2, 3, 2, 0, 1, 4, 0, 3, 4, 0, 0, 2, 3, 2, 4, 4, 3, 0, 0, 4, 3, 4, 3, 3, 4, 2, 4, 3, 4, 0, 2, 1, 2, 1, 1, 4, 2, 4, 1, 4, 2, 1, 2, 0, 0, 4, 2, 2, 1, 4, 4, 3, 4, 3, 0, 0, 4, 0, 3, 0, 1, 1, 1, 0, 3, 0, 3, 3, 3, 0, 1, 2, 0, 1, 0, 4, 0, 2, 0, 2, 0, 2, 1, 3, 2, 0, 0, 4, 2, 3, 3, 4, 1, 0, 4, 2, 3, 4, 2, 2, 2, 3, 4, 1, 2, 1, 3, 2, 4, 2, 1, 4] pubkeycol1548 = [1, 0, 2, 3, 2, 2, 0, 0, 0, 4, 1, 3, 1, 1, 3, 4, 1, 2, 3, 4, 1, 3, 3, 2, 0, 1, 3, 1, 0, 0, 2, 4, 3, 1, 4, 3, 1, 4, 0, 0, 2, 3, 1, 4, 0, 1, 4, 1, 1, 4, 4, 1, 2, 1, 4, 2, 3, 4, 1, 4, 4, 2, 0, 2, 4, 0, 3, 4, 2, 3, 4, 0, 4, 0, 4, 3, 3, 4, 0, 3, 2, 1, 4, 3, 0, 2, 1, 0, 4, 1, 3, 4, 3, 0, 4, 2, 2, 2, 1, 2, 3, 2, 1, 2, 4, 4, 0, 4, 0, 3, 2, 4, 4, 2, 4, 0, 3, 2, 3, 2, 0, 1, 3, 1, 2, 2, 1, 2, 3, 1, 2, 0, 2, 4, 1, 0, 4, 4, 3, 1, 3, 2, 4, 3, 0, 2, 2, 2, 2, 0, 4, 1, 3, 4, 2, 3, 3, 3, 1, 0, 3, 0, 2, 1, 3, 4, 2, 2, 4, 3, 4, 1, 2, 4, 1, 4, 4, 4, 4, 0, 0, 3, 0, 1, 3, 1, 0, 2, 2, 3, 1, 0, 4, 2, 0, 2, 2, 2, 3, 0, 2, 4, 2, 2, 4, 2, 3, 1, 3, 3, 2, 1, 2, 3, 0, 4, 0, 1, 4, 3, 2, 3, 3, 4, 2, 0, 2, 0, 2, 4, 4, 1, 3, 3, 0, 4, 1, 0, 2, 1, 3, 0, 0, 2, 3, 4, 0, 1, 1, 1, 3, 3, 2, 2, 4, 1, 3, 3, 1, 1, 1, 0, 3, 2, 0, 1, 3, 0, 3, 1, 0, 0, 3, 0, 0, 4, 4, 2, 2, 3, 3, 3, 2, 0, 0, 0, 4, 4, 4, 1, 3, 0, 4, 3, 0, 0, 4, 2, 3, 1, 3, 2, 3, 0, 4, 3, 4, 2, 2, 1, 0, 2, 3, 4, 4, 4, 4, 2, 1, 3, 3, 4, 1, 1, 3, 1, 1, 1, 4, 4, 1, 0, 2, 4, 1, 3, 2, 2, 2, 4, 3, 3, 4, 4, 2, 4, 0, 4, 3, 3, 1, 0, 0, 4, 2, 4, 2, 3, 1, 0, 2, 4, 2, 2, 4, 1, 3, 0, 0, 1, 2, 2, 1, 2, 3, 3, 1, 2, 1, 1, 0, 0, 1, 3, 2, 2, 0, 3, 1, 2, 0, 3, 1, 4, 1, 3, 3, 2, 2, 3] pubkeycol1549 = [1, 1, 1, 4, 4, 3, 1, 4, 4, 4, 0, 2, 4, 4, 3, 3, 2, 4, 4, 2, 3, 1, 0, 3, 1, 4, 2, 0, 1, 2, 0, 3, 4, 2, 0, 1, 0, 4, 2, 4, 0, 3, 0, 0, 4, 1, 4, 4, 0, 3, 0, 2, 4, 2, 1, 0, 4, 2, 4, 2, 2, 0, 3, 2, 3, 2, 4, 2, 4, 2, 4, 1, 2, 0, 3, 2, 4, 1, 1, 2, 0, 0, 0, 1, 3, 1, 1, 4, 1, 4, 1, 0, 3, 0, 1, 3, 2, 4, 1, 3, 0, 2, 1, 4, 2, 3, 3, 2, 2, 3, 4, 0, 3, 1, 1, 3, 2, 0, 0, 2, 1, 4, 0, 0, 1, 3, 3, 0, 1, 4, 1, 1, 3, 3, 3, 1, 3, 3, 0, 3, 3, 1, 1, 3, 2, 4, 4, 0, 0, 0, 3, 4, 1, 2, 2, 4, 0, 2, 2, 1, 2, 4, 1, 3, 0, 4, 2, 2, 4, 1, 4, 4, 2, 2, 0, 2, 3, 4, 3, 2, 4, 2, 0, 0, 3, 0, 1, 3, 4, 3, 2, 1, 2, 4, 0, 1, 2, 0, 3, 3, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 0, 2, 1, 4, 0, 0, 3, 2, 1, 3, 1, 0, 3, 0, 0, 4, 3, 3, 1, 1, 4, 3, 4, 3, 1, 2, 0, 0, 1, 0, 1, 3, 1, 1, 0, 4, 2, 0, 1, 2, 2, 1, 1, 3, 2, 2, 4, 3, 0, 0, 3, 1, 3, 0, 1, 0, 0, 3, 3, 4, 3, 3, 2, 4, 4, 2, 0, 0, 2, 1, 3, 4, 4, 4, 1, 4, 0, 1, 0, 4, 3, 3, 0, 1, 4, 4, 3, 4, 3, 2, 1, 1, 0, 0, 1, 3, 3, 4, 0, 3, 0, 1, 0, 1, 1, 1, 3, 0, 2, 0, 0, 2, 0, 2, 0, 3, 4, 4, 4, 2, 3, 3, 4, 1, 0, 2, 0, 2, 0, 4, 2, 1, 3, 3, 2, 0, 1, 4, 0, 4, 1, 3, 2, 1, 4, 3, 3, 3, 2, 1, 2, 2, 2, 3, 1, 4, 4, 0, 0, 1, 0, 4, 0, 3, 3, 0, 3, 4, 0, 0, 1, 4, 1, 1, 0, 1, 1, 1, 1, 4, 0, 2, 3, 0, 2, 3, 1, 1, 3, 0] pubkeycol1550 = [1, 4, 1, 0, 1, 4, 1, 1, 2, 0, 2, 0, 2, 0, 4, 1, 2, 1, 3, 4, 1, 4, 2, 2, 0, 3, 4, 1, 0, 2, 4, 0, 3, 2, 2, 4, 3, 4, 1, 4, 1, 4, 4, 3, 4, 1, 3, 4, 1, 2, 0, 2, 2, 4, 2, 2, 0, 4, 1, 1, 0, 3, 4, 0, 0, 4, 1, 4, 0, 2, 0, 3, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 4, 3, 2, 0, 1, 4, 3, 1, 3, 0, 2, 3, 4, 3, 1, 3, 3, 3, 4, 4, 4, 4, 3, 0, 1, 1, 2, 4, 4, 1, 0, 0, 3, 1, 0, 2, 4, 2, 3, 2, 1, 4, 2, 3, 0, 3, 0, 1, 4, 3, 1, 4, 2, 0, 3, 1, 3, 4, 4, 2, 1, 0, 0, 0, 2, 2, 1, 3, 0, 0, 2, 1, 2, 0, 4, 4, 4, 4, 4, 3, 0, 2, 3, 2, 4, 3, 4, 0, 2, 1, 2, 1, 2, 4, 3, 4, 0, 4, 4, 2, 1, 1, 3, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 4, 0, 2, 3, 3, 0, 4, 1, 0, 2, 1, 4, 3, 3, 2, 1, 1, 4, 3, 3, 1, 2, 3, 0, 4, 1, 4, 0, 3, 0, 4, 0, 2, 2, 3, 2, 1, 3, 0, 4, 4, 2, 0, 2, 0, 0, 1, 1, 3, 0, 3, 3, 0, 0, 3, 3, 0, 4, 3, 0, 2, 2, 2, 1, 2, 3, 0, 2, 3, 1, 0, 3, 4, 2, 2, 2, 3, 0, 3, 3, 2, 2, 1, 0, 1, 3, 4, 4, 4, 1, 2, 1, 1, 1, 2, 1, 4, 1, 2, 1, 3, 2, 0, 2, 3, 1, 3, 1, 1, 2, 1, 4, 4, 0, 1, 3, 4, 0, 2, 3, 2, 1, 2, 2, 0, 4, 4, 4, 1, 0, 3, 0, 0, 0, 2, 3, 1, 3, 3, 1, 0, 2, 2, 3, 1, 1, 2, 2, 2, 4, 0, 4, 4, 0, 3, 4, 0, 4, 0, 4, 1, 0, 3, 2, 2, 3, 3, 1, 3, 2, 4, 0, 4, 2, 2, 3, 0, 0, 1, 0, 0, 2, 2, 3, 0, 1, 2, 3, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0] pubkeycol1551 = [2, 0, 2, 0, 0, 3, 3, 0, 3, 0, 2, 1, 2, 1, 0, 4, 3, 1, 3, 2, 3, 0, 3, 2, 0, 1, 4, 1, 3, 3, 3, 3, 1, 3, 2, 1, 1, 2, 3, 1, 0, 3, 3, 1, 2, 0, 1, 1, 3, 3, 4, 4, 4, 1, 4, 1, 0, 0, 0, 0, 2, 1, 1, 1, 3, 2, 1, 4, 2, 0, 4, 2, 0, 3, 4, 0, 4, 0, 4, 1, 4, 2, 2, 3, 0, 2, 2, 3, 3, 3, 1, 2, 0, 3, 4, 1, 0, 0, 1, 3, 1, 4, 3, 4, 2, 0, 4, 2, 2, 1, 4, 1, 3, 2, 3, 1, 4, 0, 1, 1, 4, 1, 4, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 3, 2, 2, 1, 3, 2, 1, 2, 1, 4, 4, 3, 0, 1, 3, 0, 2, 4, 0, 3, 3, 1, 1, 1, 4, 3, 2, 0, 2, 0, 1, 3, 2, 3, 2, 2, 3, 1, 1, 3, 3, 3, 0, 2, 3, 1, 4, 2, 2, 0, 3, 4, 2, 0, 3, 3, 2, 2, 4, 4, 0, 0, 3, 3, 1, 1, 0, 2, 1, 4, 3, 3, 4, 3, 1, 2, 0, 3, 4, 2, 2, 2, 1, 2, 0, 3, 4, 1, 2, 1, 1, 3, 3, 1, 4, 2, 3, 3, 1, 2, 1, 0, 0, 1, 4, 4, 1, 2, 0, 3, 3, 1, 4, 0, 0, 4, 2, 4, 3, 1, 0, 2, 2, 0, 0, 0, 2, 3, 0, 4, 1, 0, 1, 0, 1, 3, 4, 4, 0, 4, 0, 3, 0, 0, 2, 3, 1, 0, 1, 2, 3, 1, 4, 0, 2, 4, 2, 1, 4, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 4, 1, 4, 0, 4, 1, 1, 3, 2, 4, 2, 3, 0, 4, 2, 0, 4, 4, 3, 2, 0, 1, 3, 2, 2, 3, 2, 0, 2, 4, 0, 0, 4, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 4, 0, 4, 4, 4, 1, 0, 2, 0, 0, 1, 4, 3, 0, 1, 1, 4, 1, 2, 0, 0, 4, 4, 0, 0, 1, 2, 2, 0, 4, 1, 4, 1, 0, 3, 3, 4, 3, 1, 2, 1, 0, 3, 1] pubkeycol1552 = [4, 1, 3, 0, 2, 1, 4, 4, 3, 4, 4, 2, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4, 1, 1, 4, 3, 4, 0, 0, 4, 2, 1, 4, 3, 2, 3, 3, 0, 1, 4, 3, 0, 1, 1, 3, 2, 0, 0, 0, 1, 1, 4, 0, 2, 3, 2, 1, 1, 0, 2, 0, 0, 0, 4, 4, 2, 2, 0, 1, 1, 4, 0, 1, 1, 1, 1, 0, 2, 3, 0, 4, 0, 2, 1, 2, 4, 2, 3, 0, 2, 4, 2, 1, 4, 1, 2, 1, 4, 2, 2, 1, 1, 3, 0, 0, 3, 3, 3, 4, 2, 4, 4, 4, 4, 1, 4, 3, 1, 3, 2, 4, 4, 4, 3, 4, 3, 4, 3, 2, 0, 3, 3, 4, 4, 4, 0, 3, 2, 3, 0, 3, 0, 1, 4, 0, 4, 3, 4, 2, 0, 1, 1, 3, 2, 0, 3, 3, 2, 0, 2, 2, 1, 4, 0, 3, 2, 2, 4, 0, 4, 3, 3, 0, 1, 2, 3, 2, 3, 2, 2, 1, 0, 4, 0, 1, 0, 1, 1, 2, 0, 2, 4, 2, 0, 1, 2, 0, 3, 2, 0, 4, 4, 0, 4, 3, 2, 1, 3, 2, 0, 0, 1, 0, 0, 2, 4, 2, 2, 0, 3, 2, 2, 2, 1, 4, 1, 0, 1, 4, 0, 4, 0, 2, 3, 0, 3, 0, 0, 4, 1, 4, 4, 3, 3, 1, 1, 3, 3, 2, 3, 1, 0, 0, 1, 1, 4, 0, 2, 2, 3, 4, 4, 0, 3, 2, 0, 4, 3, 0, 2, 3, 3, 2, 3, 1, 0, 3, 4, 2, 3, 2, 0, 1, 1, 3, 0, 2, 3, 3, 4, 1, 4, 2, 0, 4, 3, 4, 2, 3, 1, 1, 1, 4, 3, 1, 1, 1, 2, 4, 0, 3, 3, 0, 4, 3, 0, 1, 2, 4, 1, 2, 3, 4, 4, 2, 3, 4, 2, 0, 4, 2, 3, 4, 3, 2, 3, 0, 0, 2, 4, 4, 3, 1, 0, 4, 0, 1, 0, 3, 2, 3, 2, 1, 0, 3, 1, 3, 2, 2, 0, 1, 1, 2, 3, 1, 4, 3, 2, 1, 2, 0, 4, 0, 0, 1, 2, 4, 1, 2, 4, 2, 2, 0, 4, 0, 1, 1, 0, 0, 0, 3, 3, 2, 1, 3, 1, 3, 3, 3, 3] pubkeycol1553 = [4, 4, 1, 2, 4, 2, 3, 4, 1, 2, 1, 3, 2, 1, 2, 1, 2, 3, 3, 1, 4, 2, 2, 4, 3, 3, 4, 2, 4, 0, 2, 3, 1, 1, 4, 0, 4, 0, 2, 0, 2, 0, 0, 1, 2, 1, 3, 0, 4, 1, 3, 2, 3, 1, 1, 1, 2, 2, 3, 1, 4, 2, 3, 2, 3, 1, 0, 4, 1, 3, 4, 1, 0, 2, 3, 1, 4, 4, 0, 2, 4, 4, 4, 0, 0, 1, 3, 2, 2, 0, 3, 1, 0, 0, 2, 2, 1, 4, 2, 0, 4, 2, 3, 3, 2, 1, 1, 2, 3, 1, 0, 0, 0, 2, 3, 3, 1, 1, 0, 3, 4, 1, 1, 3, 3, 1, 2, 2, 0, 2, 3, 1, 4, 0, 2, 4, 2, 1, 2, 4, 3, 4, 3, 2, 0, 2, 4, 3, 3, 2, 0, 4, 4, 0, 1, 2, 0, 0, 0, 0, 2, 1, 3, 4, 0, 4, 1, 3, 3, 0, 0, 4, 2, 4, 2, 2, 4, 2, 0, 3, 0, 0, 2, 1, 3, 0, 1, 0, 2, 2, 2, 4, 4, 4, 3, 3, 1, 4, 0, 1, 4, 1, 2, 4, 1, 2, 2, 3, 2, 0, 1, 1, 4, 0, 3, 2, 3, 0, 3, 4, 4, 1, 2, 0, 4, 4, 4, 2, 3, 3, 1, 2, 2, 3, 2, 1, 4, 4, 2, 0, 0, 1, 4, 3, 1, 0, 2, 3, 0, 4, 0, 1, 0, 1, 2, 1, 4, 3, 1, 4, 4, 3, 2, 4, 4, 3, 1, 4, 4, 1, 2, 3, 0, 1, 4, 4, 0, 1, 3, 3, 0, 4, 0, 2, 2, 2, 4, 1, 3, 2, 2, 0, 4, 3, 4, 4, 3, 4, 4, 2, 1, 2, 0, 3, 2, 1, 4, 0, 0, 4, 0, 1, 1, 3, 2, 0, 0, 3, 1, 0, 1, 3, 1, 0, 3, 4, 1, 1, 1, 0, 3, 3, 1, 0, 3, 4, 1, 1, 2, 3, 0, 1, 0, 4, 1, 0, 2, 0, 3, 2, 2, 4, 1, 3, 0, 2, 3, 2, 0, 2, 1, 3, 4, 1, 3, 4, 2, 0, 3, 2, 4, 3, 1, 2, 3, 0, 2, 2, 0, 2, 0, 1, 4, 4, 3, 1, 1, 1, 3, 4, 3, 1, 0, 4, 4, 1, 4, 3, 4, 1] pubkeycol1554 = [2, 2, 0, 1, 3, 1, 1, 2, 1, 0, 1, 3, 2, 0, 2, 3, 3, 1, 2, 1, 1, 3, 4, 4, 4, 2, 2, 0, 0, 3, 4, 1, 2, 2, 4, 2, 2, 4, 4, 0, 4, 0, 2, 0, 3, 4, 2, 4, 0, 0, 0, 2, 3, 1, 0, 0, 3, 0, 4, 3, 2, 1, 1, 4, 3, 4, 0, 1, 0, 0, 2, 4, 1, 2, 4, 2, 2, 1, 2, 0, 0, 3, 2, 1, 3, 1, 3, 4, 4, 3, 0, 4, 3, 4, 0, 4, 3, 0, 4, 1, 1, 3, 4, 4, 0, 2, 2, 2, 0, 2, 4, 4, 1, 4, 4, 0, 0, 2, 4, 2, 3, 2, 3, 0, 4, 4, 1, 4, 4, 1, 4, 2, 4, 0, 1, 2, 3, 3, 0, 1, 2, 1, 4, 4, 4, 1, 3, 4, 1, 1, 2, 2, 1, 2, 3, 0, 0, 4, 4, 4, 1, 0, 1, 3, 4, 2, 0, 2, 0, 2, 2, 1, 2, 4, 3, 2, 1, 4, 0, 1, 1, 3, 0, 4, 3, 2, 3, 4, 0, 1, 3, 4, 2, 3, 0, 2, 3, 1, 0, 2, 3, 0, 3, 2, 3, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 4, 3, 0, 1, 4, 2, 1, 4, 4, 2, 0, 2, 2, 3, 0, 4, 4, 4, 3, 4, 2, 3, 3, 0, 4, 2, 3, 0, 0, 4, 0, 0, 0, 1, 2, 4, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 3, 3, 0, 2, 0, 2, 4, 2, 2, 0, 2, 1, 1, 1, 3, 0, 2, 3, 4, 0, 2, 0, 2, 3, 1, 1, 3, 1, 4, 4, 1, 1, 1, 0, 4, 3, 4, 3, 0, 1, 2, 4, 0, 1, 2, 1, 3, 4, 3, 3, 2, 3, 2, 2, 3, 1, 0, 3, 0, 0, 0, 3, 4, 2, 1, 0, 2, 3, 3, 4, 2, 2, 3, 0, 4, 1, 0, 0, 4, 0, 4, 4, 2, 0, 4, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 3, 3, 1, 3, 0, 2, 4, 1, 3, 4, 0, 1, 3, 3, 0, 0, 3, 4, 1, 3, 1, 0, 4, 1, 1, 0, 4, 3, 2, 2, 0, 3, 0, 1, 4, 1, 1, 0, 4, 2, 1, 0, 2, 3] pubkeycol1555 = [4, 2, 4, 0, 0, 1, 0, 2, 3, 1, 0, 3, 4, 1, 1, 3, 4, 2, 3, 3, 4, 3, 0, 4, 0, 4, 2, 3, 2, 1, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 0, 4, 2, 2, 0, 0, 3, 4, 4, 2, 4, 2, 4, 3, 1, 1, 4, 4, 4, 2, 2, 3, 1, 3, 4, 1, 4, 0, 0, 2, 2, 2, 1, 3, 4, 1, 1, 0, 2, 4, 3, 0, 1, 2, 1, 0, 1, 2, 1, 1, 3, 3, 3, 2, 4, 3, 2, 4, 4, 0, 3, 2, 0, 0, 2, 2, 0, 3, 0, 1, 1, 2, 4, 4, 2, 3, 3, 3, 3, 1, 1, 4, 4, 3, 4, 0, 3, 1, 1, 4, 2, 4, 1, 4, 2, 1, 3, 3, 1, 1, 0, 4, 0, 3, 1, 2, 1, 1, 1, 4, 0, 2, 0, 4, 4, 2, 1, 3, 2, 2, 2, 0, 4, 2, 1, 2, 0, 4, 3, 2, 1, 0, 0, 3, 4, 4, 3, 2, 1, 0, 1, 1, 3, 1, 2, 2, 3, 1, 3, 2, 4, 3, 0, 1, 0, 4, 1, 3, 2, 0, 1, 2, 4, 3, 0, 3, 0, 4, 4, 4, 1, 0, 2, 0, 3, 1, 4, 0, 1, 0, 4, 1, 1, 2, 3, 2, 4, 1, 2, 1, 2, 4, 4, 0, 2, 3, 4, 2, 2, 4, 0, 1, 3, 1, 4, 1, 2, 2, 3, 3, 3, 1, 3, 2, 4, 3, 0, 0, 1, 1, 2, 0, 2, 3, 3, 0, 0, 0, 2, 3, 2, 4, 1, 4, 2, 1, 0, 3, 1, 1, 2, 2, 4, 0, 2, 0, 3, 1, 4, 1, 0, 2, 2, 0, 3, 0, 2, 3, 3, 4, 4, 4, 2, 2, 2, 1, 1, 4, 0, 4, 0, 2, 2, 4, 0, 1, 1, 4, 1, 0, 0, 0, 1, 3, 2, 3, 2, 0, 0, 4, 3, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 0, 1, 3, 2, 3, 0, 1, 2, 2, 4, 1, 3, 3, 1, 4, 0, 2, 2, 4, 4, 1, 4, 2, 4, 4, 0, 2, 3, 4, 4, 2, 1, 3, 3, 4, 3, 1, 0, 4, 3, 4, 0, 0, 1, 2, 4, 2, 1, 0, 2, 0, 0, 4, 3, 4, 0, 2, 2, 3] pubkeycol1556 = [1, 3, 4, 1, 1, 1, 4, 3, 2, 4, 3, 4, 2, 2, 0, 3, 1, 3, 1, 3, 1, 2, 1, 0, 0, 2, 3, 1, 3, 0, 3, 4, 2, 4, 0, 0, 0, 2, 0, 4, 0, 0, 2, 0, 2, 0, 4, 3, 0, 2, 0, 3, 4, 4, 2, 4, 4, 2, 4, 0, 2, 1, 2, 2, 1, 3, 4, 2, 0, 3, 1, 2, 0, 4, 1, 1, 0, 2, 0, 4, 4, 1, 4, 4, 0, 3, 4, 2, 3, 3, 0, 1, 4, 0, 1, 2, 3, 3, 3, 4, 1, 4, 3, 2, 3, 2, 2, 4, 1, 1, 3, 1, 4, 0, 0, 2, 4, 1, 3, 2, 1, 4, 2, 0, 4, 4, 0, 0, 0, 3, 0, 4, 0, 1, 4, 2, 1, 3, 1, 1, 3, 2, 2, 0, 0, 0, 2, 0, 2, 4, 4, 3, 4, 1, 4, 1, 3, 3, 1, 3, 4, 1, 2, 2, 1, 3, 2, 1, 2, 2, 1, 3, 4, 3, 4, 2, 2, 3, 0, 1, 0, 3, 3, 2, 1, 3, 2, 3, 4, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 3, 0, 3, 0, 0, 4, 0, 1, 0, 1, 2, 2, 4, 3, 2, 0, 0, 2, 2, 4, 1, 1, 2, 4, 3, 2, 4, 2, 2, 3, 2, 3, 0, 2, 4, 4, 2, 1, 2, 3, 2, 3, 0, 1, 0, 2, 2, 2, 3, 0, 1, 2, 3, 4, 4, 3, 3, 3, 2, 2, 1, 4, 4, 2, 2, 2, 0, 4, 2, 3, 4, 1, 1, 3, 3, 2, 1, 0, 0, 3, 0, 3, 0, 4, 0, 3, 1, 1, 2, 4, 4, 3, 4, 1, 3, 1, 0, 0, 2, 2, 2, 3, 4, 2, 2, 0, 2, 1, 0, 4, 0, 2, 4, 4, 0, 1, 3, 4, 4, 2, 4, 1, 4, 4, 1, 1, 1, 1, 1, 3, 3, 3, 4, 2, 1, 2, 0, 4, 1, 2, 1, 3, 2, 0, 3, 4, 1, 1, 1, 0, 4, 4, 2, 0, 3, 3, 4, 0, 2, 3, 2, 2, 3, 1, 3, 0, 3, 4, 4, 0, 1, 3, 4, 3, 0, 3, 0, 1, 2, 3, 2, 4, 4, 0, 2, 3, 4, 1, 3, 0, 0, 3, 0, 4, 1, 1, 4, 1, 2, 2] pubkeycol1557 = [4, 3, 3, 2, 1, 2, 2, 1, 0, 3, 1, 3, 0, 0, 0, 1, 3, 0, 2, 2, 0, 4, 0, 2, 4, 4, 1, 2, 4, 1, 0, 2, 2, 3, 0, 2, 2, 1, 3, 0, 0, 3, 0, 2, 0, 3, 2, 3, 0, 4, 1, 2, 4, 3, 0, 4, 3, 3, 2, 1, 2, 4, 1, 4, 2, 4, 2, 4, 3, 1, 3, 4, 2, 0, 4, 1, 2, 4, 1, 2, 1, 3, 2, 4, 0, 1, 1, 2, 2, 1, 1, 3, 1, 1, 4, 3, 0, 0, 0, 3, 3, 3, 4, 3, 4, 1, 2, 4, 2, 4, 1, 2, 2, 1, 1, 4, 0, 1, 0, 0, 4, 4, 1, 1, 0, 4, 1, 2, 0, 2, 0, 1, 4, 1, 1, 4, 4, 0, 0, 1, 3, 0, 3, 1, 1, 4, 4, 0, 4, 4, 0, 1, 4, 4, 2, 4, 1, 0, 4, 1, 4, 3, 0, 3, 4, 0, 3, 2, 1, 2, 1, 1, 2, 2, 2, 2, 4, 4, 4, 2, 4, 0, 2, 1, 0, 0, 3, 3, 2, 2, 0, 3, 0, 3, 2, 4, 4, 1, 2, 1, 1, 0, 4, 3, 0, 3, 0, 2, 0, 2, 0, 4, 2, 3, 0, 3, 2, 1, 1, 2, 4, 1, 4, 2, 0, 4, 2, 4, 0, 2, 0, 0, 4, 1, 1, 4, 0, 4, 1, 2, 3, 1, 1, 1, 2, 0, 3, 2, 2, 4, 1, 1, 4, 1, 4, 3, 4, 4, 3, 3, 3, 2, 4, 3, 1, 2, 0, 1, 1, 2, 4, 1, 2, 2, 1, 0, 4, 0, 2, 1, 2, 0, 3, 2, 3, 3, 2, 0, 1, 4, 2, 4, 4, 4, 2, 0, 1, 2, 0, 4, 2, 3, 2, 4, 0, 1, 2, 4, 0, 0, 2, 3, 0, 4, 3, 3, 2, 0, 2, 0, 4, 2, 4, 2, 3, 2, 1, 2, 4, 0, 0, 2, 3, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 2, 1, 0, 1, 2, 2, 0, 0, 3, 1, 3, 1, 4, 3, 1, 0, 3, 4, 2, 0, 2, 0, 3, 1, 3, 3, 4, 0, 3, 4, 2, 4, 4, 0, 0, 4, 2, 1, 2, 3, 0, 3, 2, 3, 2, 4, 4, 2, 1, 3, 4, 0, 2, 1, 1, 1, 3] pubkeycol1558 = [3, 1, 4, 1, 1, 0, 0, 1, 2, 1, 0, 4, 2, 0, 4, 4, 4, 2, 3, 1, 2, 0, 4, 1, 4, 2, 4, 3, 2, 0, 0, 1, 2, 4, 1, 4, 0, 4, 4, 2, 0, 2, 3, 1, 0, 3, 2, 1, 1, 0, 0, 4, 1, 3, 0, 1, 1, 2, 2, 4, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 3, 4, 2, 1, 3, 2, 0, 3, 3, 1, 3, 2, 3, 4, 3, 4, 2, 4, 0, 0, 0, 3, 4, 4, 0, 0, 4, 1, 4, 1, 4, 2, 1, 0, 3, 3, 4, 4, 4, 0, 2, 3, 1, 1, 2, 1, 3, 1, 1, 0, 2, 1, 3, 1, 2, 4, 4, 0, 1, 1, 0, 2, 1, 3, 4, 1, 3, 4, 1, 0, 1, 2, 1, 2, 4, 0, 3, 0, 1, 0, 3, 0, 2, 3, 1, 1, 1, 2, 3, 3, 2, 4, 1, 4, 4, 3, 1, 2, 4, 0, 0, 0, 4, 1, 3, 1, 4, 0, 4, 0, 1, 3, 0, 1, 1, 0, 4, 1, 4, 1, 2, 3, 1, 4, 3, 0, 4, 3, 2, 2, 2, 0, 3, 1, 0, 3, 4, 1, 3, 2, 2, 2, 0, 2, 2, 4, 1, 0, 4, 3, 2, 3, 1, 1, 1, 2, 3, 4, 2, 1, 0, 3, 3, 1, 3, 4, 1, 2, 3, 0, 0, 4, 0, 4, 4, 3, 1, 2, 0, 3, 3, 2, 1, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 4, 0, 3, 0, 2, 2, 0, 4, 0, 1, 1, 2, 2, 4, 2, 2, 4, 3, 1, 0, 4, 2, 0, 3, 1, 4, 0, 4, 0, 2, 1, 1, 3, 4, 0, 2, 2, 1, 3, 0, 0, 0, 1, 3, 1, 0, 0, 2, 0, 1, 3, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 4, 0, 4, 2, 1, 2, 0, 2, 2, 3, 2, 1, 2, 3, 1, 4, 1, 1, 3, 2, 1, 2, 2, 3, 1, 4, 0, 2, 4, 3, 1, 2, 2, 3, 4, 4, 2, 1, 3, 1, 0, 4, 1, 0, 0, 3, 3, 1, 0, 2, 4, 2, 0, 2, 4, 1, 2, 0, 4, 0, 2, 1, 1, 0, 3, 0, 2, 0, 4, 4, 4, 3] pubkeycol1559 = [3, 2, 3, 3, 1, 2, 4, 4, 4, 4, 3, 4, 2, 3, 0, 4, 2, 1, 0, 3, 2, 1, 3, 1, 3, 2, 4, 3, 0, 2, 1, 1, 1, 2, 4, 1, 4, 1, 0, 1, 1, 2, 0, 3, 2, 0, 0, 3, 3, 3, 0, 4, 2, 4, 2, 2, 2, 4, 1, 1, 1, 2, 0, 3, 1, 4, 0, 3, 3, 2, 4, 2, 4, 0, 3, 0, 1, 1, 2, 4, 3, 4, 4, 3, 3, 1, 2, 0, 1, 1, 3, 0, 2, 1, 0, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 4, 1, 4, 2, 2, 3, 2, 1, 2, 0, 3, 0, 4, 1, 0, 4, 0, 1, 4, 4, 3, 4, 4, 4, 2, 3, 1, 0, 4, 3, 0, 3, 1, 3, 2, 0, 3, 3, 3, 0, 1, 2, 0, 3, 4, 0, 0, 3, 4, 0, 0, 3, 3, 2, 2, 4, 4, 4, 3, 2, 3, 4, 1, 2, 1, 0, 0, 0, 4, 0, 1, 1, 2, 0, 4, 0, 4, 0, 4, 2, 1, 0, 3, 3, 4, 1, 4, 0, 1, 3, 0, 0, 3, 2, 2, 0, 4, 4, 0, 3, 1, 1, 3, 4, 3, 4, 2, 2, 1, 1, 2, 0, 3, 0, 1, 3, 2, 1, 0, 3, 3, 4, 3, 4, 4, 0, 4, 2, 1, 1, 4, 2, 0, 0, 0, 4, 1, 3, 2, 1, 0, 2, 3, 1, 1, 0, 2, 2, 2, 2, 3, 2, 1, 0, 2, 2, 4, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 4, 0, 4, 0, 2, 0, 2, 1, 4, 4, 4, 2, 2, 1, 1, 2, 1, 4, 1, 0, 2, 2, 0, 4, 2, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 2, 0, 4, 0, 4, 0, 1, 1, 3, 2, 2, 1, 2, 2, 4, 3, 1, 1, 0, 0, 4, 0, 2, 4, 4, 1, 3, 1, 0, 0, 1, 0, 3, 0, 4, 1, 1, 3, 3, 0, 3, 1, 3, 4, 1, 3, 1, 0, 2, 4, 1, 2, 4, 0, 0, 4, 0, 2, 4, 2, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 2, 2, 3, 2, 4, 4, 4, 0, 3, 2, 0, 1, 3, 0, 4] pubkeycol1560 = [1, 0, 0, 2, 0, 2, 2, 0, 3, 2, 2, 2, 3, 3, 4, 3, 0, 2, 2, 0, 4, 2, 4, 0, 4, 1, 4, 4, 1, 0, 0, 2, 0, 2, 4, 2, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 3, 0, 0, 2, 0, 1, 1, 0, 0, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 2, 2, 1, 4, 3, 1, 2, 2, 3, 0, 2, 4, 3, 1, 3, 3, 1, 3, 3, 1, 1, 3, 1, 2, 2, 3, 4, 1, 4, 1, 3, 0, 3, 3, 2, 4, 1, 2, 2, 1, 4, 1, 1, 4, 2, 2, 4, 0, 4, 4, 1, 1, 1, 0, 1, 4, 4, 4, 1, 3, 1, 1, 2, 4, 2, 3, 1, 1, 2, 4, 1, 1, 0, 1, 4, 4, 0, 1, 1, 3, 3, 0, 1, 3, 1, 3, 2, 1, 2, 2, 1, 0, 2, 3, 3, 1, 4, 4, 4, 2, 2, 3, 3, 4, 1, 2, 4, 1, 3, 2, 2, 2, 1, 4, 1, 2, 1, 4, 4, 3, 2, 1, 4, 4, 0, 3, 1, 1, 4, 3, 1, 1, 1, 2, 4, 0, 3, 4, 1, 3, 2, 4, 4, 2, 3, 1, 0, 2, 4, 1, 1, 3, 4, 3, 4, 3, 1, 3, 4, 1, 4, 2, 1, 0, 1, 1, 1, 0, 4, 1, 3, 1, 3, 0, 4, 3, 0, 2, 0, 0, 3, 2, 1, 2, 4, 4, 2, 3, 3, 0, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 0, 2, 3, 3, 1, 2, 3, 1, 0, 4, 4, 2, 4, 1, 1, 0, 2, 1, 3, 2, 0, 1, 4, 0, 4, 4, 1, 4, 1, 4, 3, 3, 0, 1, 2, 0, 0, 3, 0, 4, 3, 0, 0, 3, 0, 1, 1, 3, 4, 3, 2, 4, 3, 3, 0, 3, 1, 3, 4, 3, 2, 4, 3, 2, 1, 2, 0, 0, 4, 0, 4, 4, 1, 3, 2, 1, 1, 4, 1, 4, 3, 1, 4, 2, 4, 1, 4, 2, 4, 0, 4, 2, 0, 3, 0, 1, 1, 0, 2, 3, 2, 1, 4, 3, 1, 1, 0, 1, 4, 1, 3, 0, 3, 3, 1, 4, 2, 3, 4, 1, 3, 4, 3, 3, 0, 0, 0, 4, 1, 3, 2, 3, 4] pubkeycol1561 = [0, 0, 4, 3, 3, 4, 0, 4, 4, 0, 1, 4, 1, 1, 1, 3, 0, 3, 3, 4, 3, 3, 2, 2, 1, 1, 2, 3, 0, 0, 3, 4, 1, 3, 2, 3, 4, 1, 4, 2, 2, 3, 3, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 3, 3, 1, 1, 3, 3, 1, 2, 1, 0, 2, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 4, 4, 3, 1, 2, 4, 1, 3, 0, 3, 1, 2, 3, 2, 0, 3, 3, 1, 4, 3, 3, 3, 0, 3, 0, 1, 4, 0, 2, 0, 1, 0, 2, 1, 1, 1, 3, 4, 0, 2, 4, 1, 1, 1, 0, 2, 0, 3, 4, 0, 0, 1, 2, 0, 4, 2, 0, 1, 0, 3, 3, 4, 2, 0, 4, 0, 3, 4, 3, 3, 4, 4, 4, 4, 2, 2, 4, 1, 2, 0, 1, 4, 1, 3, 1, 0, 2, 2, 2, 1, 4, 4, 3, 0, 1, 3, 3, 1, 3, 4, 2, 3, 4, 1, 4, 3, 1, 0, 2, 3, 0, 0, 1, 3, 1, 4, 2, 3, 4, 2, 3, 3, 1, 2, 3, 4, 0, 4, 1, 1, 1, 0, 2, 3, 2, 2, 2, 3, 4, 4, 4, 2, 2, 4, 3, 1, 2, 2, 3, 1, 2, 4, 3, 3, 1, 3, 1, 1, 1, 1, 1, 0, 4, 0, 4, 2, 1, 3, 3, 1, 2, 4, 0, 0, 3, 1, 3, 2, 3, 3, 2, 4, 0, 3, 0, 3, 0, 1, 0, 2, 2, 0, 1, 1, 1, 3, 1, 4, 3, 4, 3, 2, 3, 1, 2, 3, 1, 0, 1, 3, 1, 2, 2, 1, 2, 2, 4, 3, 1, 0, 4, 4, 0, 4, 2, 4, 0, 1, 4, 3, 4, 2, 3, 1, 2, 0, 4, 4, 2, 2, 3, 0, 3, 0, 1, 2, 4, 0, 0, 3, 0, 3, 1, 3, 3, 3, 1, 3, 1, 3, 2, 4, 0, 1, 4, 0, 2, 1, 0, 3, 3, 1, 1, 1, 4, 3, 2, 0, 2, 3, 4, 0, 0, 2, 3, 1, 3, 2, 4, 4, 0, 1, 4, 4, 1, 2, 4, 4, 2, 2, 4, 4, 2, 2, 0, 4, 1, 3, 4, 2, 1, 0, 4, 4, 2, 3, 0, 0, 1, 1] pubkeycol1562 = [1, 3, 0, 1, 0, 3, 0, 2, 2, 2, 1, 2, 3, 1, 0, 4, 2, 4, 3, 3, 3, 1, 0, 4, 3, 4, 3, 4, 2, 4, 2, 0, 1, 3, 2, 2, 3, 4, 2, 4, 1, 1, 3, 4, 4, 2, 1, 1, 3, 2, 0, 2, 3, 1, 2, 2, 2, 1, 3, 4, 1, 3, 1, 4, 0, 1, 4, 4, 1, 3, 0, 2, 2, 2, 4, 2, 4, 4, 4, 4, 1, 3, 4, 3, 3, 0, 1, 4, 2, 1, 4, 3, 4, 0, 3, 1, 1, 3, 2, 0, 2, 0, 2, 3, 4, 1, 4, 4, 0, 0, 4, 4, 0, 2, 1, 0, 3, 2, 0, 0, 0, 1, 2, 0, 4, 3, 0, 2, 4, 3, 2, 1, 4, 2, 1, 2, 3, 1, 2, 3, 1, 0, 3, 4, 0, 3, 0, 2, 0, 0, 4, 2, 1, 1, 2, 4, 0, 2, 4, 1, 2, 3, 0, 1, 4, 2, 3, 0, 3, 2, 0, 3, 2, 4, 2, 2, 3, 0, 3, 4, 0, 2, 2, 4, 3, 3, 2, 3, 3, 1, 3, 3, 4, 4, 1, 4, 1, 1, 1, 4, 4, 4, 2, 2, 1, 0, 3, 0, 4, 4, 4, 0, 3, 3, 4, 3, 0, 2, 1, 3, 4, 2, 1, 0, 1, 0, 4, 2, 3, 4, 3, 0, 2, 4, 2, 3, 3, 4, 4, 0, 0, 3, 1, 4, 3, 1, 1, 0, 0, 0, 4, 1, 4, 3, 4, 1, 3, 0, 2, 2, 3, 4, 0, 4, 4, 2, 3, 3, 4, 0, 0, 1, 3, 0, 3, 3, 2, 3, 4, 1, 1, 4, 2, 3, 3, 1, 0, 4, 1, 4, 4, 3, 2, 4, 0, 1, 3, 0, 2, 1, 4, 0, 0, 0, 3, 3, 3, 2, 0, 4, 1, 4, 0, 1, 2, 1, 3, 2, 3, 0, 1, 4, 0, 4, 1, 0, 2, 1, 1, 0, 3, 2, 4, 1, 4, 2, 4, 2, 1, 0, 0, 3, 1, 1, 1, 0, 1, 2, 3, 3, 4, 2, 4, 0, 2, 2, 2, 3, 2, 4, 4, 2, 0, 4, 0, 0, 0, 4, 1, 3, 4, 1, 1, 3, 0, 4, 4, 0, 0, 1, 0, 0, 1, 3, 0, 1, 1, 2, 4, 4, 3, 3, 0, 3, 3, 3, 0, 1, 3, 3] pubkeycol1563 = [2, 2, 4, 0, 3, 0, 3, 0, 3, 4, 1, 4, 2, 0, 1, 0, 4, 1, 2, 1, 4, 4, 1, 3, 2, 2, 1, 4, 3, 0, 0, 2, 1, 1, 4, 1, 1, 0, 3, 4, 2, 2, 0, 3, 1, 4, 3, 2, 1, 4, 2, 1, 4, 4, 3, 3, 4, 1, 4, 1, 0, 1, 3, 0, 3, 3, 4, 0, 3, 0, 1, 4, 0, 4, 1, 4, 2, 2, 1, 3, 0, 4, 0, 3, 3, 0, 3, 3, 1, 2, 2, 2, 0, 1, 2, 1, 4, 1, 0, 3, 4, 3, 2, 4, 1, 0, 2, 3, 3, 3, 0, 3, 1, 1, 1, 3, 0, 0, 4, 0, 2, 3, 0, 4, 0, 1, 4, 0, 4, 1, 2, 0, 0, 0, 2, 2, 3, 4, 1, 3, 1, 0, 3, 2, 3, 2, 1, 1, 3, 2, 1, 3, 3, 3, 3, 0, 2, 3, 2, 2, 1, 2, 3, 2, 3, 0, 4, 4, 1, 2, 3, 2, 2, 4, 2, 1, 2, 0, 1, 2, 2, 4, 3, 0, 4, 2, 0, 4, 0, 3, 0, 1, 4, 4, 4, 1, 2, 1, 0, 0, 4, 3, 3, 4, 2, 1, 0, 0, 1, 3, 4, 3, 0, 2, 1, 0, 4, 2, 4, 4, 3, 4, 2, 1, 0, 4, 2, 0, 3, 1, 0, 1, 0, 1, 2, 3, 1, 2, 0, 0, 0, 2, 1, 3, 1, 4, 4, 3, 1, 4, 2, 2, 1, 0, 0, 1, 1, 4, 4, 0, 1, 3, 2, 3, 2, 3, 3, 4, 2, 3, 0, 3, 4, 3, 4, 3, 1, 2, 0, 1, 3, 2, 2, 0, 2, 2, 3, 1, 4, 4, 2, 1, 1, 4, 4, 3, 4, 3, 3, 0, 2, 2, 3, 3, 3, 4, 3, 3, 1, 4, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 3, 3, 1, 3, 3, 2, 1, 4, 1, 1, 4, 0, 0, 1, 4, 3, 3, 1, 2, 0, 1, 1, 3, 2, 3, 2, 1, 3, 3, 4, 3, 0, 3, 4, 1, 4, 2, 0, 0, 4, 0, 3, 3, 4, 3, 4, 2, 4, 3, 0, 3, 0, 1, 2, 0, 2, 0, 1, 2, 4, 4, 1, 3, 3, 1, 2, 4, 3, 2, 0, 4, 1, 1, 3, 3, 0, 2, 2, 0, 4] pubkeycol1564 = [2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 3, 2, 1, 2, 1, 3, 4, 3, 0, 4, 3, 1, 4, 4, 2, 1, 4, 2, 4, 4, 4, 4, 3, 4, 4, 1, 2, 4, 0, 3, 2, 3, 4, 0, 3, 2, 0, 0, 1, 0, 3, 1, 2, 2, 4, 1, 1, 1, 2, 4, 3, 2, 4, 2, 3, 0, 4, 3, 0, 1, 0, 1, 1, 0, 3, 4, 0, 3, 4, 2, 3, 0, 0, 4, 2, 1, 0, 4, 1, 0, 2, 4, 2, 1, 3, 3, 0, 1, 3, 1, 3, 4, 4, 3, 3, 3, 0, 1, 2, 2, 4, 3, 2, 2, 4, 2, 2, 0, 0, 1, 2, 0, 2, 3, 4, 0, 4, 0, 2, 3, 0, 4, 3, 2, 1, 1, 2, 4, 4, 3, 0, 2, 4, 0, 4, 3, 3, 3, 0, 0, 1, 2, 3, 2, 2, 4, 1, 2, 2, 1, 4, 0, 2, 0, 3, 2, 4, 0, 4, 1, 1, 1, 2, 2, 0, 4, 1, 0, 0, 4, 0, 1, 0, 1, 0, 0, 1, 1, 2, 4, 2, 0, 1, 0, 2, 2, 4, 1, 2, 1, 4, 2, 4, 1, 4, 1, 4, 3, 2, 2, 1, 0, 1, 0, 0, 0, 4, 3, 3, 3, 1, 3, 4, 1, 3, 3, 0, 3, 3, 0, 4, 2, 3, 0, 3, 2, 4, 4, 0, 0, 2, 4, 2, 3, 4, 3, 2, 0, 3, 3, 1, 1, 2, 0, 2, 0, 1, 4, 1, 3, 0, 3, 2, 1, 0, 1, 4, 1, 1, 1, 2, 4, 2, 4, 3, 4, 3, 3, 3, 2, 3, 1, 2, 2, 0, 4, 0, 4, 4, 4, 2, 3, 3, 2, 1, 4, 0, 4, 4, 1, 3, 0, 2, 0, 1, 4, 2, 3, 1, 4, 3, 2, 0, 0, 1, 0, 0, 3, 2, 3, 0, 0, 4, 0, 0, 1, 3, 3, 2, 2, 0, 2, 1, 1, 0, 1, 0, 4, 4, 2, 3, 4, 1, 3, 1, 1, 2, 1, 1, 4, 2, 1, 0, 2, 4, 2, 2, 4, 3, 4, 2, 0, 1, 0, 1, 3, 4, 4, 0, 4, 2, 2, 2, 4, 3, 4, 1, 4, 2, 2, 2, 3, 2, 0, 2, 4, 3, 4, 3, 1, 2, 3, 3, 2, 4, 0, 1, 0, 2] pubkeycol1565 = [1, 0, 0, 0, 2, 1, 1, 0, 4, 4, 0, 4, 1, 2, 4, 0, 3, 1, 3, 1, 3, 2, 0, 4, 3, 0, 0, 4, 0, 1, 0, 3, 2, 4, 0, 0, 4, 2, 4, 2, 4, 1, 1, 1, 2, 3, 3, 1, 0, 3, 2, 2, 0, 1, 2, 0, 3, 0, 1, 3, 0, 0, 1, 4, 4, 1, 4, 2, 0, 4, 4, 0, 3, 4, 4, 3, 0, 4, 1, 3, 3, 4, 3, 4, 4, 4, 2, 1, 3, 0, 1, 0, 0, 4, 3, 1, 0, 2, 0, 3, 3, 4, 4, 4, 4, 1, 0, 2, 0, 2, 2, 4, 1, 3, 4, 3, 3, 3, 1, 3, 2, 4, 3, 1, 1, 4, 4, 1, 2, 4, 4, 0, 0, 2, 0, 2, 4, 2, 0, 4, 4, 3, 3, 2, 1, 3, 4, 1, 2, 0, 3, 2, 1, 2, 1, 4, 4, 0, 0, 2, 3, 2, 1, 0, 1, 1, 0, 4, 4, 4, 0, 3, 0, 4, 2, 2, 3, 1, 3, 0, 1, 4, 0, 3, 0, 1, 3, 0, 1, 2, 3, 4, 2, 1, 3, 3, 2, 0, 0, 1, 1, 0, 1, 1, 2, 3, 4, 1, 2, 1, 1, 4, 0, 0, 3, 0, 2, 2, 2, 1, 0, 2, 3, 2, 1, 0, 3, 0, 3, 0, 3, 4, 0, 2, 4, 1, 2, 0, 0, 2, 0, 2, 3, 4, 3, 2, 1, 4, 4, 3, 1, 3, 3, 4, 2, 4, 0, 1, 0, 0, 4, 4, 0, 3, 4, 0, 0, 0, 0, 0, 4, 1, 0, 0, 4, 3, 1, 4, 4, 4, 3, 0, 2, 2, 3, 0, 1, 1, 2, 3, 1, 4, 0, 3, 1, 1, 0, 2, 0, 3, 4, 3, 1, 2, 3, 3, 0, 4, 2, 3, 4, 4, 0, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 4, 3, 4, 0, 1, 4, 4, 1, 3, 2, 2, 2, 1, 0, 2, 1, 0, 4, 2, 0, 0, 0, 1, 0, 4, 4, 2, 0, 2, 3, 4, 1, 2, 0, 3, 0, 1, 0, 3, 2, 2, 4, 3, 0, 2, 4, 2, 3, 4, 1, 1, 3, 3, 0, 1, 3, 0, 0, 2, 4, 0, 2, 4, 0, 1, 4, 1, 3, 1, 2, 2, 4, 4, 1, 4, 3, 4] pubkeycol1566 = [1, 1, 1, 4, 4, 3, 1, 0, 4, 4, 2, 4, 3, 3, 0, 4, 0, 3, 4, 0, 1, 4, 4, 1, 4, 3, 3, 1, 3, 4, 0, 1, 2, 3, 1, 1, 2, 0, 0, 1, 0, 4, 0, 3, 0, 4, 4, 2, 3, 3, 3, 2, 3, 3, 1, 2, 1, 0, 3, 2, 4, 3, 0, 0, 3, 1, 0, 3, 4, 0, 3, 3, 1, 3, 1, 3, 0, 1, 0, 0, 4, 0, 3, 2, 0, 1, 0, 1, 1, 1, 3, 3, 1, 1, 0, 0, 4, 2, 1, 0, 3, 0, 4, 1, 1, 3, 0, 3, 0, 0, 4, 3, 4, 1, 4, 4, 4, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 3, 0, 4, 3, 3, 2, 2, 2, 4, 0, 1, 3, 2, 0, 3, 1, 4, 1, 4, 1, 3, 3, 2, 0, 2, 0, 0, 3, 1, 1, 0, 2, 3, 2, 2, 1, 2, 4, 2, 0, 3, 1, 4, 4, 0, 2, 3, 2, 3, 1, 0, 4, 2, 0, 1, 2, 2, 3, 0, 2, 1, 2, 3, 4, 3, 3, 4, 2, 0, 0, 4, 0, 0, 2, 1, 0, 0, 3, 2, 2, 3, 4, 2, 1, 2, 3, 3, 4, 4, 1, 0, 3, 3, 1, 4, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 3, 0, 2, 0, 0, 1, 4, 1, 1, 4, 2, 3, 3, 4, 3, 2, 3, 2, 4, 4, 2, 2, 1, 4, 0, 3, 1, 0, 1, 2, 3, 3, 2, 2, 2, 3, 0, 3, 3, 4, 2, 4, 3, 4, 0, 0, 4, 2, 4, 1, 2, 3, 0, 1, 4, 2, 4, 0, 4, 3, 2, 1, 3, 1, 3, 4, 2, 2, 3, 1, 1, 3, 3, 3, 3, 1, 3, 1, 0, 0, 0, 4, 2, 3, 4, 0, 1, 2, 2, 0, 0, 3, 3, 3, 0, 1, 1, 0, 4, 3, 4, 0, 2, 4, 2, 4, 2, 0, 2, 0, 0, 3, 2, 2, 3, 2, 0, 4, 2, 1, 2, 0, 1, 0, 3, 0, 3, 1, 1, 4, 1, 4, 4, 4, 4, 0, 1, 3, 4, 3, 1, 4, 2, 0, 4, 1, 3, 3, 0, 2, 3, 2, 1, 0, 1, 3, 2, 2, 2, 4, 0, 0, 0, 4, 0, 0, 1, 1] pubkeycol1567 = [4, 2, 0, 2, 1, 4, 0, 4, 2, 2, 0, 1, 4, 0, 0, 2, 0, 1, 0, 4, 4, 0, 1, 3, 4, 2, 2, 4, 4, 0, 0, 2, 3, 2, 0, 0, 2, 2, 3, 0, 1, 0, 2, 3, 1, 0, 2, 3, 1, 3, 0, 0, 2, 0, 1, 4, 1, 1, 2, 0, 1, 0, 0, 2, 4, 3, 4, 0, 2, 3, 4, 1, 0, 1, 4, 2, 0, 4, 3, 2, 3, 1, 1, 2, 2, 2, 3, 3, 0, 4, 3, 1, 2, 1, 2, 4, 3, 4, 3, 3, 1, 2, 1, 4, 4, 2, 1, 2, 1, 1, 3, 3, 1, 3, 2, 0, 3, 1, 2, 1, 3, 1, 1, 1, 3, 4, 0, 3, 3, 2, 1, 3, 3, 3, 3, 4, 2, 4, 4, 1, 1, 2, 3, 1, 4, 0, 3, 0, 2, 3, 4, 3, 2, 3, 0, 4, 0, 2, 2, 4, 3, 2, 3, 2, 2, 0, 3, 3, 0, 1, 3, 0, 3, 3, 1, 3, 3, 2, 2, 1, 2, 2, 1, 3, 2, 4, 4, 3, 0, 4, 2, 0, 3, 0, 1, 3, 0, 3, 2, 3, 1, 3, 1, 1, 1, 2, 2, 0, 4, 4, 0, 3, 1, 3, 4, 2, 4, 1, 2, 0, 1, 3, 2, 0, 2, 0, 4, 2, 1, 4, 1, 4, 3, 2, 3, 4, 1, 1, 2, 4, 1, 4, 3, 1, 4, 4, 1, 4, 4, 1, 2, 4, 2, 2, 4, 2, 1, 3, 4, 0, 2, 2, 1, 1, 2, 3, 0, 2, 3, 4, 2, 3, 0, 2, 0, 0, 1, 4, 2, 4, 4, 2, 1, 0, 3, 1, 0, 2, 4, 2, 3, 2, 4, 4, 3, 2, 0, 4, 1, 0, 2, 4, 1, 1, 1, 4, 4, 3, 1, 2, 2, 4, 0, 1, 4, 0, 3, 4, 2, 1, 1, 1, 2, 1, 1, 4, 3, 4, 1, 2, 4, 3, 4, 0, 1, 4, 3, 3, 3, 4, 4, 4, 2, 2, 4, 4, 4, 0, 3, 0, 0, 4, 0, 4, 2, 3, 4, 4, 0, 1, 0, 0, 0, 3, 2, 4, 4, 0, 0, 3, 3, 3, 3, 0, 1, 4, 3, 2, 1, 3, 1, 1, 4, 3, 0, 0, 0, 4, 3, 1, 0, 1, 3, 4, 0, 2, 0, 0, 3, 2] pubkeycol1568 = [3, 1, 0, 1, 3, 3, 3, 1, 4, 3, 2, 3, 0, 3, 4, 1, 4, 0, 1, 3, 2, 4, 2, 1, 0, 3, 0, 0, 3, 2, 0, 1, 2, 0, 0, 2, 1, 4, 3, 2, 1, 1, 2, 2, 2, 2, 0, 1, 4, 0, 1, 1, 1, 1, 4, 3, 0, 2, 4, 2, 1, 1, 4, 1, 0, 0, 2, 4, 4, 0, 0, 0, 3, 2, 3, 0, 2, 2, 4, 1, 1, 1, 2, 2, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 4, 0, 0, 2, 1, 1, 0, 1, 4, 2, 4, 2, 3, 1, 3, 1, 0, 3, 3, 2, 0, 3, 3, 3, 0, 0, 3, 4, 3, 0, 3, 0, 1, 0, 2, 4, 4, 1, 3, 0, 3, 0, 3, 3, 3, 1, 0, 1, 2, 0, 0, 1, 3, 0, 1, 0, 0, 4, 4, 2, 2, 2, 1, 2, 0, 3, 1, 2, 0, 3, 2, 4, 1, 0, 1, 1, 0, 1, 0, 2, 2, 3, 4, 4, 0, 1, 4, 0, 0, 1, 3, 4, 0, 2, 3, 3, 3, 4, 2, 1, 4, 3, 2, 0, 2, 1, 1, 0, 3, 2, 3, 1, 2, 2, 4, 1, 4, 3, 1, 2, 2, 4, 2, 1, 4, 4, 1, 4, 0, 1, 0, 2, 4, 2, 1, 2, 2, 4, 4, 3, 1, 0, 4, 0, 3, 4, 4, 3, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 0, 3, 2, 4, 1, 0, 3, 3, 2, 0, 0, 4, 0, 2, 4, 2, 3, 3, 4, 0, 2, 2, 4, 4, 3, 4, 4, 1, 1, 2, 3, 2, 1, 3, 3, 1, 4, 2, 1, 3, 0, 3, 0, 1, 2, 2, 3, 4, 4, 3, 3, 3, 1, 3, 0, 2, 1, 3, 4, 1, 0, 0, 4, 2, 1, 3, 4, 1, 4, 4, 2, 3, 0, 0, 1, 3, 3, 2, 4, 4, 3, 0, 2, 4, 3, 3, 3, 1, 0, 3, 1, 1, 3, 4, 2, 4, 4, 3, 1, 1, 0, 1, 3, 0, 1, 2, 0, 3, 0, 2, 4, 0, 4, 0, 3, 0, 0, 3, 0, 3, 2, 2, 4, 4, 2, 0, 1, 3, 2, 1, 0, 1, 3, 1, 3, 0, 4, 1, 3, 4, 1] pubkeycol1569 = [2, 0, 4, 1, 4, 3, 3, 3, 1, 4, 2, 0, 4, 1, 4, 2, 1, 2, 1, 3, 1, 1, 4, 3, 3, 2, 0, 3, 3, 4, 0, 4, 2, 0, 2, 3, 0, 4, 3, 4, 3, 2, 1, 3, 1, 1, 3, 1, 1, 1, 1, 0, 3, 3, 4, 2, 0, 1, 4, 4, 1, 3, 1, 1, 1, 4, 1, 4, 1, 2, 2, 2, 3, 1, 2, 4, 0, 1, 0, 0, 3, 4, 4, 0, 0, 2, 2, 1, 4, 3, 3, 1, 1, 3, 3, 2, 2, 0, 1, 3, 0, 2, 1, 4, 0, 0, 1, 4, 4, 1, 3, 0, 2, 2, 0, 1, 3, 2, 3, 3, 2, 4, 4, 1, 4, 1, 2, 0, 3, 1, 4, 0, 0, 1, 1, 0, 3, 4, 4, 0, 1, 1, 2, 1, 3, 1, 3, 0, 2, 2, 0, 1, 1, 0, 4, 4, 3, 4, 4, 2, 1, 1, 4, 2, 2, 3, 4, 2, 1, 1, 2, 3, 3, 1, 3, 0, 3, 2, 2, 0, 1, 4, 0, 2, 3, 3, 3, 0, 4, 2, 3, 3, 2, 0, 1, 2, 0, 2, 2, 2, 0, 3, 0, 2, 0, 4, 3, 1, 3, 1, 2, 0, 2, 1, 4, 4, 0, 3, 1, 1, 3, 0, 0, 1, 0, 1, 2, 1, 1, 4, 0, 2, 2, 1, 4, 4, 3, 2, 3, 0, 0, 3, 3, 3, 1, 2, 1, 2, 0, 4, 2, 4, 4, 2, 3, 0, 4, 1, 0, 3, 4, 2, 1, 3, 3, 4, 2, 3, 3, 0, 2, 2, 3, 2, 2, 3, 4, 0, 1, 1, 2, 4, 2, 1, 2, 4, 2, 4, 1, 4, 1, 1, 1, 4, 2, 3, 2, 1, 4, 2, 2, 2, 4, 2, 0, 4, 3, 3, 0, 0, 4, 1, 1, 1, 4, 3, 0, 2, 3, 3, 4, 4, 1, 3, 1, 3, 1, 0, 4, 1, 4, 1, 1, 3, 1, 3, 3, 0, 2, 1, 1, 2, 4, 2, 2, 0, 0, 1, 3, 1, 3, 3, 4, 3, 2, 2, 2, 2, 4, 1, 4, 3, 1, 2, 4, 2, 0, 1, 2, 0, 1, 0, 2, 3, 1, 3, 1, 2, 4, 2, 4, 4, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 4, 0, 0, 2, 0, 2, 0] pubkeycol1570 = [3, 4, 1, 4, 1, 3, 4, 1, 1, 0, 3, 2, 4, 0, 1, 3, 1, 0, 0, 0, 3, 4, 0, 3, 0, 3, 0, 4, 3, 1, 1, 4, 3, 0, 0, 0, 2, 2, 3, 1, 4, 0, 1, 2, 3, 0, 0, 2, 2, 4, 3, 2, 4, 2, 2, 4, 0, 0, 0, 4, 3, 3, 3, 4, 0, 4, 0, 0, 1, 3, 2, 3, 4, 4, 4, 1, 3, 0, 3, 4, 1, 1, 3, 0, 4, 1, 1, 4, 0, 2, 3, 0, 2, 0, 3, 2, 2, 3, 0, 2, 4, 4, 0, 2, 3, 0, 0, 1, 1, 3, 3, 0, 0, 1, 4, 0, 4, 2, 3, 4, 3, 1, 2, 3, 2, 1, 3, 4, 4, 4, 3, 1, 1, 2, 2, 2, 4, 0, 2, 0, 1, 2, 4, 4, 3, 2, 4, 0, 0, 3, 0, 1, 3, 2, 2, 4, 3, 0, 4, 3, 0, 4, 2, 4, 4, 2, 3, 1, 1, 2, 0, 1, 1, 0, 1, 0, 3, 2, 1, 2, 1, 4, 2, 1, 0, 1, 0, 2, 2, 3, 3, 4, 2, 2, 0, 2, 3, 2, 1, 0, 1, 2, 1, 2, 2, 4, 1, 2, 2, 3, 1, 4, 2, 3, 4, 4, 4, 1, 0, 2, 2, 2, 3, 4, 0, 2, 4, 0, 4, 3, 0, 2, 0, 0, 0, 1, 4, 3, 1, 4, 2, 3, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 3, 3, 0, 0, 0, 3, 1, 0, 3, 4, 4, 1, 2, 4, 2, 4, 3, 1, 1, 4, 3, 1, 4, 4, 0, 4, 4, 2, 3, 3, 0, 2, 2, 0, 3, 2, 3, 0, 4, 0, 1, 0, 1, 0, 1, 1, 4, 2, 4, 1, 3, 1, 2, 0, 1, 0, 2, 4, 2, 4, 0, 3, 2, 1, 4, 0, 3, 1, 0, 2, 2, 0, 1, 1, 2, 0, 4, 1, 2, 3, 3, 1, 1, 0, 3, 2, 2, 4, 0, 0, 1, 0, 1, 0, 3, 4, 0, 1, 0, 3, 4, 4, 0, 0, 1, 0, 1, 3, 0, 2, 1, 4, 3, 4, 1, 3, 0, 1, 3, 3, 1, 3, 3, 1, 3, 0, 2, 0, 2, 2, 1, 3, 1, 2, 1, 2, 0, 3, 4, 2, 2, 3, 0, 4, 4, 4, 1] pubkeycol1571 = [3, 4, 4, 3, 0, 1, 0, 2, 4, 2, 1, 3, 3, 3, 2, 0, 1, 3, 4, 3, 3, 2, 1, 2, 0, 1, 1, 3, 2, 3, 2, 2, 3, 4, 4, 0, 3, 4, 0, 3, 1, 4, 1, 4, 2, 0, 0, 0, 0, 4, 3, 0, 0, 1, 0, 2, 2, 0, 4, 2, 1, 2, 4, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 4, 1, 4, 4, 1, 2, 4, 4, 3, 2, 0, 2, 3, 1, 1, 2, 4, 0, 3, 2, 0, 2, 0, 2, 3, 3, 1, 0, 4, 4, 3, 0, 3, 1, 3, 3, 3, 0, 3, 1, 1, 4, 3, 4, 2, 3, 3, 1, 4, 1, 1, 2, 0, 4, 4, 2, 1, 0, 2, 4, 4, 0, 0, 0, 3, 3, 2, 2, 4, 1, 2, 2, 3, 3, 0, 2, 1, 0, 3, 1, 1, 1, 2, 1, 2, 3, 3, 4, 4, 3, 0, 3, 1, 2, 3, 4, 4, 0, 1, 0, 4, 0, 0, 2, 0, 0, 1, 4, 0, 2, 0, 1, 4, 3, 3, 3, 4, 1, 4, 4, 3, 2, 2, 3, 0, 1, 4, 2, 2, 2, 2, 1, 2, 3, 4, 3, 0, 1, 4, 0, 0, 2, 4, 2, 3, 0, 2, 1, 3, 3, 2, 3, 4, 1, 3, 0, 3, 3, 0, 0, 1, 4, 0, 2, 0, 2, 4, 1, 3, 1, 3, 1, 0, 2, 0, 2, 1, 3, 2, 4, 3, 2, 2, 1, 1, 4, 3, 4, 0, 3, 4, 3, 3, 0, 0, 2, 3, 4, 3, 2, 0, 4, 4, 4, 0, 4, 1, 1, 4, 2, 0, 1, 2, 4, 4, 2, 2, 4, 2, 1, 2, 2, 4, 0, 2, 1, 0, 4, 4, 1, 1, 2, 1, 1, 0, 4, 0, 3, 0, 0, 1, 3, 4, 4, 1, 4, 0, 1, 1, 0, 4, 1, 3, 1, 1, 3, 4, 4, 3, 3, 1, 0, 0, 0, 2, 0, 2, 4, 0, 1, 3, 3, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 3, 1, 0, 4, 3, 3, 3, 3, 4, 2, 4, 0, 3, 3, 0, 1, 3, 0, 2, 1, 4, 4, 4, 0, 3, 1, 1, 2, 0, 2, 1, 3, 1, 2, 0, 2, 0, 2, 4, 1, 0] pubkeycol1572 = [2, 4, 2, 2, 1, 4, 3, 1, 3, 0, 1, 3, 3, 1, 3, 4, 0, 0, 1, 4, 1, 4, 3, 1, 3, 3, 0, 3, 4, 3, 0, 4, 4, 4, 0, 3, 1, 3, 3, 2, 3, 3, 0, 3, 2, 2, 2, 2, 3, 4, 4, 1, 2, 1, 0, 0, 4, 1, 2, 4, 2, 4, 3, 3, 2, 1, 2, 3, 0, 4, 4, 0, 4, 3, 3, 0, 2, 3, 4, 3, 3, 2, 3, 0, 3, 1, 0, 0, 1, 0, 4, 1, 0, 3, 0, 4, 3, 1, 0, 2, 3, 2, 0, 3, 0, 0, 2, 2, 0, 4, 0, 3, 0, 0, 1, 1, 2, 4, 1, 2, 0, 2, 2, 3, 2, 2, 2, 0, 0, 2, 4, 3, 0, 1, 0, 1, 4, 3, 4, 0, 0, 2, 1, 2, 4, 0, 1, 2, 0, 0, 4, 0, 4, 2, 3, 2, 1, 1, 1, 4, 4, 4, 1, 0, 1, 1, 1, 2, 4, 3, 4, 3, 4, 1, 1, 0, 4, 1, 4, 2, 3, 3, 2, 3, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 4, 2, 3, 4, 3, 1, 4, 0, 3, 4, 2, 0, 3, 0, 1, 1, 2, 4, 3, 1, 0, 0, 0, 0, 0, 4, 4, 1, 4, 3, 0, 3, 4, 1, 4, 4, 3, 3, 2, 0, 0, 3, 1, 1, 2, 4, 2, 2, 4, 1, 4, 0, 0, 2, 2, 1, 3, 0, 1, 3, 2, 1, 2, 4, 1, 1, 1, 0, 4, 3, 2, 1, 3, 1, 2, 3, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 4, 2, 0, 0, 4, 0, 0, 1, 4, 1, 1, 2, 2, 2, 3, 2, 3, 4, 1, 1, 4, 2, 0, 4, 4, 2, 0, 0, 2, 1, 1, 0, 3, 2, 1, 4, 0, 4, 1, 3, 1, 1, 1, 4, 0, 2, 3, 3, 4, 4, 2, 4, 3, 0, 4, 1, 2, 3, 1, 1, 2, 1, 3, 1, 2, 0, 4, 0, 0, 3, 4, 4, 0, 0, 1, 1, 2, 0, 3, 4, 1, 4, 1, 3, 0, 4, 4, 0, 1, 3, 4, 3, 3, 4, 0, 4, 2, 0, 4, 1, 2, 4, 3, 0, 1, 2, 0, 2, 0, 1, 0, 1, 3, 0, 3, 1, 2, 4] pubkeycol1573 = [2, 0, 4, 0, 4, 4, 2, 2, 0, 0, 2, 3, 4, 4, 1, 2, 1, 3, 1, 3, 4, 4, 4, 1, 3, 1, 2, 1, 0, 0, 2, 4, 3, 3, 0, 0, 3, 3, 2, 2, 4, 1, 1, 2, 2, 2, 2, 4, 4, 1, 2, 1, 3, 2, 4, 4, 4, 3, 0, 0, 2, 1, 1, 1, 3, 3, 4, 2, 1, 2, 0, 4, 1, 4, 1, 2, 4, 0, 3, 2, 3, 1, 3, 1, 3, 3, 1, 3, 0, 0, 4, 4, 1, 1, 2, 2, 2, 0, 0, 3, 1, 1, 4, 4, 1, 2, 1, 2, 3, 3, 0, 4, 2, 2, 3, 1, 3, 1, 1, 3, 0, 1, 1, 4, 2, 0, 4, 4, 3, 1, 0, 0, 4, 1, 0, 4, 2, 2, 4, 2, 0, 4, 1, 1, 4, 2, 1, 4, 0, 1, 0, 1, 2, 2, 1, 4, 0, 0, 2, 0, 1, 1, 1, 0, 3, 1, 3, 0, 0, 4, 3, 4, 0, 0, 3, 4, 1, 0, 4, 1, 1, 3, 2, 3, 0, 4, 4, 3, 0, 3, 3, 3, 4, 1, 2, 2, 1, 3, 3, 4, 1, 1, 1, 3, 0, 1, 4, 3, 4, 3, 2, 2, 0, 3, 4, 1, 4, 0, 1, 0, 3, 4, 0, 3, 2, 4, 3, 3, 2, 3, 3, 2, 0, 2, 0, 3, 4, 4, 3, 1, 0, 2, 0, 3, 2, 0, 4, 2, 1, 1, 1, 4, 0, 3, 3, 2, 3, 0, 2, 4, 1, 2, 2, 4, 3, 0, 3, 3, 3, 1, 4, 4, 3, 3, 1, 0, 2, 4, 4, 4, 3, 1, 4, 3, 4, 0, 3, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 3, 2, 0, 1, 0, 0, 4, 4, 1, 1, 3, 3, 1, 0, 3, 4, 4, 3, 2, 4, 2, 0, 1, 3, 0, 2, 3, 0, 3, 2, 1, 2, 2, 0, 0, 1, 4, 2, 0, 4, 0, 3, 0, 0, 4, 1, 3, 1, 1, 0, 2, 3, 4, 1, 4, 1, 0, 3, 0, 0, 2, 1, 4, 4, 1, 3, 2, 2, 1, 4, 1, 2, 3, 3, 2, 2, 2, 0, 4, 3, 3, 3, 3, 1, 3, 1, 2, 1, 0, 1, 3, 0, 4, 3, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol1574 = [2, 2, 4, 4, 2, 2, 0, 4, 0, 1, 0, 4, 0, 0, 2, 0, 4, 0, 1, 3, 1, 3, 0, 3, 4, 4, 1, 3, 2, 1, 1, 2, 3, 1, 2, 3, 2, 1, 3, 0, 0, 2, 1, 3, 1, 4, 2, 3, 1, 4, 3, 3, 0, 4, 3, 4, 4, 3, 4, 0, 3, 1, 0, 4, 4, 4, 4, 1, 4, 3, 1, 1, 2, 0, 3, 1, 1, 1, 4, 1, 3, 3, 2, 1, 0, 0, 2, 2, 3, 0, 1, 2, 2, 2, 2, 4, 4, 4, 2, 1, 3, 0, 1, 2, 1, 3, 3, 4, 0, 0, 4, 0, 0, 0, 2, 1, 1, 4, 2, 3, 2, 3, 1, 4, 2, 2, 0, 3, 0, 0, 0, 4, 1, 1, 4, 0, 4, 3, 3, 4, 0, 1, 0, 2, 4, 4, 2, 2, 0, 4, 2, 2, 3, 2, 3, 2, 0, 2, 3, 0, 0, 1, 3, 2, 3, 0, 4, 1, 4, 1, 1, 0, 4, 0, 3, 0, 3, 3, 3, 0, 0, 2, 3, 0, 0, 0, 2, 3, 3, 4, 3, 3, 4, 2, 4, 0, 2, 1, 3, 1, 0, 1, 3, 0, 3, 4, 1, 3, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 4, 1, 3, 0, 1, 3, 0, 2, 0, 4, 1, 3, 2, 3, 1, 2, 1, 4, 1, 1, 0, 4, 3, 4, 1, 3, 1, 1, 1, 4, 2, 3, 3, 0, 2, 3, 4, 3, 3, 0, 3, 3, 2, 3, 4, 3, 4, 0, 2, 1, 3, 0, 2, 2, 4, 3, 3, 2, 1, 1, 2, 0, 3, 2, 4, 3, 0, 2, 1, 2, 2, 4, 4, 1, 2, 3, 1, 4, 2, 4, 4, 2, 3, 2, 0, 3, 1, 3, 0, 4, 1, 4, 1, 0, 1, 3, 1, 0, 3, 0, 1, 1, 4, 0, 0, 3, 1, 4, 2, 4, 0, 3, 3, 2, 4, 0, 1, 4, 0, 2, 4, 4, 0, 4, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 0, 4, 2, 0, 2, 4, 0, 0, 4, 4, 4, 4, 1, 2, 0, 2, 4, 2, 1, 3, 2, 0, 1, 3, 1, 0, 2, 1, 1, 4, 2, 1, 4, 1, 1, 0, 4, 4, 1, 2, 1, 4, 1, 0, 0, 3] pubkeycol1575 = [2, 2, 0, 1, 2, 2, 1, 3, 3, 4, 4, 3, 3, 0, 3, 4, 1, 3, 1, 1, 0, 1, 1, 0, 4, 1, 0, 0, 1, 0, 1, 2, 1, 4, 1, 3, 1, 0, 4, 2, 4, 0, 1, 1, 4, 0, 4, 1, 0, 1, 3, 1, 0, 2, 0, 1, 4, 0, 1, 1, 2, 4, 0, 1, 3, 4, 1, 1, 4, 4, 4, 1, 3, 3, 3, 4, 1, 1, 1, 4, 2, 3, 2, 0, 1, 3, 1, 1, 3, 1, 1, 1, 2, 3, 2, 2, 1, 0, 4, 3, 2, 4, 4, 4, 2, 3, 2, 2, 0, 2, 3, 2, 3, 1, 2, 1, 1, 4, 0, 3, 4, 1, 3, 2, 4, 3, 1, 0, 0, 2, 2, 3, 4, 2, 0, 3, 4, 2, 1, 2, 3, 0, 2, 1, 0, 2, 2, 3, 4, 3, 4, 1, 1, 3, 4, 1, 3, 2, 1, 4, 3, 4, 1, 1, 3, 2, 1, 3, 3, 2, 4, 0, 2, 4, 1, 0, 0, 1, 1, 2, 4, 0, 0, 1, 3, 3, 3, 0, 0, 1, 3, 4, 3, 3, 3, 3, 3, 1, 4, 2, 2, 3, 3, 2, 4, 0, 0, 1, 4, 3, 2, 3, 3, 1, 2, 4, 2, 3, 0, 4, 3, 0, 1, 3, 3, 1, 0, 0, 2, 2, 0, 2, 4, 3, 1, 1, 4, 2, 1, 4, 0, 2, 0, 2, 2, 2, 2, 3, 4, 3, 2, 1, 1, 3, 0, 1, 1, 2, 0, 2, 0, 2, 0, 3, 4, 1, 3, 4, 4, 1, 4, 1, 0, 4, 4, 1, 3, 2, 0, 0, 1, 1, 0, 2, 0, 3, 2, 0, 3, 2, 2, 4, 0, 0, 0, 3, 0, 4, 3, 3, 3, 4, 2, 1, 4, 1, 1, 1, 4, 1, 1, 3, 4, 4, 3, 0, 1, 2, 0, 2, 3, 2, 4, 3, 0, 3, 0, 0, 3, 1, 3, 2, 2, 0, 1, 1, 1, 3, 4, 2, 2, 0, 3, 2, 2, 4, 3, 2, 0, 3, 3, 3, 1, 1, 4, 3, 0, 3, 0, 2, 0, 0, 3, 4, 0, 3, 3, 1, 3, 4, 2, 3, 1, 4, 4, 2, 2, 2, 4, 1, 3, 1, 1, 3, 3, 4, 4, 3, 4, 1, 4, 1, 4, 0, 2, 0, 1, 2, 1, 2] pubkeycol1576 = [1, 4, 4, 4, 0, 1, 1, 3, 3, 2, 2, 2, 0, 0, 0, 4, 4, 3, 1, 4, 1, 1, 1, 4, 3, 4, 1, 4, 4, 1, 3, 0, 3, 3, 0, 1, 2, 4, 2, 0, 0, 2, 4, 0, 1, 0, 2, 1, 2, 3, 2, 4, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 4, 2, 3, 4, 1, 4, 2, 3, 3, 2, 2, 0, 1, 2, 4, 0, 3, 1, 4, 4, 1, 4, 0, 0, 2, 4, 2, 0, 1, 1, 1, 2, 3, 3, 2, 4, 2, 4, 3, 0, 0, 4, 1, 3, 3, 3, 4, 4, 2, 1, 1, 3, 0, 3, 3, 2, 0, 0, 1, 3, 2, 2, 3, 0, 4, 4, 3, 1, 2, 2, 0, 1, 3, 3, 1, 1, 2, 3, 3, 1, 1, 4, 0, 4, 2, 0, 0, 1, 0, 0, 4, 2, 0, 4, 1, 4, 2, 3, 4, 3, 3, 3, 3, 1, 4, 0, 2, 3, 0, 2, 4, 2, 1, 3, 1, 0, 3, 1, 1, 1, 1, 0, 0, 4, 2, 1, 1, 4, 1, 4, 1, 2, 0, 0, 1, 2, 0, 3, 4, 1, 1, 1, 3, 4, 2, 3, 3, 2, 1, 4, 4, 4, 2, 4, 4, 3, 0, 0, 0, 4, 4, 4, 2, 1, 1, 0, 4, 0, 3, 4, 3, 1, 3, 1, 3, 3, 4, 4, 1, 0, 2, 3, 3, 0, 1, 2, 2, 3, 4, 4, 2, 4, 2, 3, 1, 2, 2, 0, 2, 4, 4, 4, 1, 1, 0, 1, 2, 4, 3, 3, 1, 1, 0, 0, 2, 0, 3, 4, 0, 1, 4, 4, 1, 2, 3, 3, 0, 2, 4, 4, 2, 0, 1, 2, 2, 1, 4, 1, 2, 3, 3, 3, 1, 0, 3, 0, 0, 4, 0, 1, 4, 4, 3, 1, 2, 1, 3, 3, 3, 1, 3, 0, 2, 4, 1, 3, 3, 4, 4, 3, 0, 1, 0, 4, 2, 3, 0, 3, 1, 0, 4, 2, 4, 2, 1, 0, 4, 2, 1, 3, 4, 0, 2, 3, 2, 1, 2, 3, 1, 4, 4, 0, 1, 0, 1, 3, 2, 1, 0, 1, 1, 3, 0, 1, 4, 0, 0, 1, 3, 4, 1, 3, 1, 4, 2, 3, 3, 4, 1, 0, 3, 4, 0, 3, 4, 2] pubkeycol1577 = [1, 0, 3, 1, 1, 2, 0, 1, 0, 3, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 4, 2, 0, 3, 0, 1, 1, 2, 3, 0, 1, 4, 2, 1, 4, 4, 2, 1, 4, 2, 2, 1, 0, 0, 0, 1, 0, 1, 3, 0, 3, 3, 2, 1, 2, 1, 1, 3, 4, 2, 2, 0, 1, 3, 4, 3, 4, 4, 1, 0, 3, 1, 4, 1, 0, 0, 1, 1, 4, 2, 1, 4, 2, 3, 0, 1, 3, 4, 0, 0, 3, 4, 3, 0, 1, 1, 2, 3, 0, 2, 0, 1, 4, 2, 4, 3, 2, 1, 2, 4, 0, 0, 4, 4, 4, 4, 1, 1, 4, 1, 1, 2, 3, 3, 3, 0, 1, 4, 4, 4, 2, 2, 4, 2, 4, 2, 4, 3, 0, 0, 3, 4, 1, 4, 0, 1, 2, 0, 0, 0, 3, 3, 2, 1, 3, 1, 2, 3, 0, 1, 0, 1, 0, 3, 3, 3, 4, 2, 0, 1, 2, 2, 2, 0, 1, 2, 4, 3, 0, 3, 4, 3, 1, 1, 2, 3, 2, 1, 2, 4, 4, 3, 4, 3, 3, 0, 4, 1, 4, 4, 1, 3, 3, 3, 1, 0, 0, 2, 3, 1, 2, 4, 3, 2, 4, 0, 1, 4, 3, 0, 4, 0, 3, 2, 4, 2, 3, 1, 2, 2, 0, 4, 2, 2, 1, 0, 2, 1, 4, 0, 1, 1, 3, 1, 2, 3, 0, 4, 3, 1, 2, 0, 0, 2, 1, 2, 0, 0, 3, 3, 0, 2, 2, 3, 0, 0, 0, 0, 4, 0, 3, 3, 4, 1, 2, 2, 3, 4, 4, 4, 3, 3, 4, 1, 4, 0, 2, 3, 1, 2, 0, 1, 4, 4, 1, 4, 3, 4, 2, 1, 3, 0, 1, 4, 0, 2, 4, 4, 1, 2, 4, 4, 2, 1, 1, 3, 1, 0, 1, 1, 0, 2, 2, 1, 2, 4, 0, 3, 4, 1, 0, 0, 2, 4, 0, 2, 0, 4, 1, 4, 1, 3, 4, 4, 4, 4, 3, 3, 0, 4, 3, 3, 0, 2, 3, 3, 1, 1, 3, 4, 1, 1, 4, 3, 0, 4, 0, 0, 3, 1, 3, 0, 1, 2, 0, 0, 0, 4, 3, 0, 1, 1, 1, 4, 3, 3, 3, 1, 0, 0, 2, 2, 1, 3, 4, 4, 3, 4, 0] pubkeycol1578 = [4, 0, 0, 1, 2, 2, 2, 2, 2, 1, 3, 2, 4, 4, 1, 4, 1, 4, 1, 2, 1, 0, 3, 3, 4, 2, 0, 0, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 1, 1, 0, 4, 0, 4, 0, 4, 0, 3, 2, 3, 3, 3, 3, 1, 0, 0, 2, 2, 1, 4, 0, 4, 0, 3, 3, 1, 3, 4, 1, 2, 4, 1, 1, 3, 0, 0, 1, 4, 0, 4, 4, 3, 2, 2, 0, 0, 4, 4, 3, 4, 2, 4, 3, 1, 2, 4, 1, 2, 3, 0, 4, 3, 2, 3, 4, 0, 3, 3, 2, 2, 2, 4, 3, 0, 3, 0, 4, 2, 0, 1, 3, 2, 0, 4, 4, 4, 0, 3, 4, 3, 1, 2, 1, 0, 2, 3, 1, 0, 1, 1, 3, 3, 1, 1, 2, 4, 3, 3, 4, 4, 2, 1, 1, 1, 0, 0, 4, 0, 1, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 4, 3, 3, 4, 1, 2, 4, 3, 1, 1, 0, 3, 2, 3, 4, 0, 2, 4, 3, 4, 2, 1, 4, 1, 2, 2, 4, 2, 3, 4, 3, 4, 0, 1, 2, 3, 3, 3, 1, 4, 3, 1, 4, 1, 1, 4, 2, 4, 0, 3, 2, 4, 0, 4, 1, 2, 4, 0, 2, 4, 4, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 3, 2, 4, 4, 0, 2, 1, 4, 3, 4, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 4, 3, 4, 3, 3, 4, 1, 1, 2, 0, 2, 3, 3, 1, 3, 2, 0, 2, 2, 0, 4, 0, 3, 4, 3, 2, 4, 1, 0, 0, 4, 4, 1, 1, 2, 4, 0, 4, 3, 1, 2, 0, 0, 2, 4, 4, 4, 4, 4, 2, 0, 4, 2, 0, 2, 2, 4, 4, 0, 4, 3, 3, 1, 4, 0, 3, 1, 1, 1, 0, 0, 4, 1, 0, 0, 4, 1, 3, 1, 0, 3, 4, 1, 4, 3, 1, 2, 0, 2, 2, 3, 1, 2, 4, 4, 3, 2, 4, 1, 1, 0, 3, 2, 0, 3, 2, 4, 0, 2, 1, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 3, 0, 3, 0, 1, 3, 0, 0, 1, 0, 3, 4, 2, 2, 3, 3, 1, 1, 0] pubkeycol1579 = [2, 4, 2, 2, 3, 3, 0, 3, 0, 3, 2, 4, 3, 3, 1, 2, 1, 2, 2, 3, 4, 1, 1, 2, 2, 2, 3, 2, 4, 2, 3, 2, 2, 1, 0, 1, 3, 2, 3, 4, 2, 1, 2, 0, 2, 2, 1, 3, 4, 1, 3, 0, 2, 2, 2, 4, 1, 0, 0, 3, 3, 0, 0, 4, 0, 1, 1, 4, 4, 4, 1, 2, 3, 0, 2, 0, 4, 3, 1, 2, 0, 0, 3, 2, 0, 4, 2, 1, 3, 4, 4, 4, 1, 4, 1, 0, 1, 0, 2, 4, 1, 1, 4, 4, 1, 1, 0, 4, 3, 0, 1, 3, 0, 3, 3, 1, 4, 4, 3, 3, 1, 2, 2, 2, 3, 0, 0, 3, 3, 3, 1, 0, 3, 2, 4, 4, 1, 1, 4, 3, 3, 4, 1, 2, 1, 0, 2, 2, 1, 4, 0, 0, 1, 1, 2, 2, 0, 3, 0, 0, 3, 4, 2, 3, 1, 1, 0, 1, 3, 3, 3, 4, 3, 3, 2, 4, 0, 1, 0, 4, 1, 3, 0, 3, 3, 0, 1, 1, 2, 4, 0, 1, 4, 4, 0, 4, 0, 2, 2, 0, 3, 3, 2, 0, 0, 1, 0, 2, 2, 3, 0, 4, 1, 2, 0, 4, 0, 3, 2, 4, 4, 0, 3, 1, 1, 4, 3, 2, 3, 3, 1, 0, 4, 3, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 3, 3, 3, 1, 3, 0, 2, 4, 3, 4, 1, 2, 0, 4, 1, 1, 1, 4, 0, 3, 1, 1, 3, 4, 4, 4, 4, 0, 3, 2, 3, 2, 4, 2, 0, 3, 3, 0, 3, 1, 4, 0, 3, 0, 3, 0, 3, 2, 0, 4, 2, 4, 0, 1, 2, 3, 1, 2, 0, 2, 3, 1, 1, 3, 1, 2, 4, 1, 4, 3, 4, 4, 4, 0, 2, 3, 3, 0, 1, 4, 1, 0, 2, 1, 3, 3, 4, 2, 4, 2, 1, 0, 1, 1, 0, 3, 1, 4, 0, 4, 1, 0, 3, 0, 0, 2, 2, 0, 3, 2, 0, 3, 4, 4, 3, 2, 3, 0, 0, 1, 1, 4, 0, 0, 3, 0, 4, 1, 1, 3, 0, 2, 4, 0, 0, 4, 0, 2, 1, 3, 1, 1, 0, 0, 0, 0, 3, 2, 4, 2, 1, 1, 3, 0] pubkeycol1580 = [4, 0, 1, 1, 1, 4, 4, 3, 0, 3, 4, 1, 4, 3, 2, 1, 0, 2, 1, 0, 1, 0, 1, 3, 4, 1, 4, 0, 4, 2, 4, 2, 1, 2, 3, 2, 3, 1, 1, 0, 1, 2, 3, 0, 4, 4, 2, 3, 2, 1, 3, 4, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 4, 2, 0, 4, 2, 4, 1, 2, 3, 0, 4, 2, 3, 0, 2, 3, 4, 3, 1, 0, 1, 0, 0, 4, 3, 3, 3, 2, 3, 1, 3, 1, 0, 0, 3, 4, 0, 3, 4, 2, 0, 2, 4, 2, 4, 0, 4, 3, 4, 4, 1, 0, 3, 1, 4, 4, 4, 0, 3, 3, 4, 2, 4, 2, 2, 3, 4, 2, 3, 2, 0, 3, 3, 3, 0, 0, 4, 4, 3, 3, 2, 3, 3, 3, 4, 3, 1, 0, 2, 1, 2, 2, 2, 4, 0, 0, 3, 1, 2, 4, 4, 2, 4, 4, 1, 0, 2, 2, 1, 4, 1, 1, 2, 0, 1, 2, 4, 2, 4, 2, 4, 3, 1, 4, 0, 4, 3, 1, 0, 3, 1, 4, 0, 1, 1, 3, 3, 4, 3, 3, 0, 0, 1, 1, 2, 4, 0, 2, 3, 3, 3, 1, 4, 3, 0, 2, 1, 1, 4, 3, 4, 1, 1, 2, 2, 2, 0, 3, 2, 4, 2, 4, 2, 1, 0, 0, 3, 3, 2, 4, 2, 4, 0, 4, 4, 2, 4, 0, 0, 2, 2, 4, 1, 3, 1, 3, 0, 2, 4, 1, 2, 4, 2, 1, 2, 2, 3, 0, 4, 0, 1, 1, 4, 1, 0, 1, 4, 3, 3, 1, 0, 2, 4, 3, 3, 2, 1, 1, 2, 2, 4, 3, 2, 0, 0, 3, 4, 0, 0, 0, 1, 1, 0, 2, 4, 3, 1, 4, 0, 3, 3, 2, 2, 0, 1, 3, 0, 1, 1, 4, 0, 2, 1, 2, 3, 0, 3, 1, 4, 4, 0, 1, 1, 3, 3, 1, 0, 1, 0, 3, 3, 3, 1, 2, 1, 3, 3, 2, 1, 2, 4, 1, 2, 0, 1, 4, 4, 2, 4, 0, 1, 3, 0, 1, 4, 4, 4, 0, 3, 2, 0, 3, 1, 2, 0, 3, 2, 2, 1, 1, 2, 3, 2, 0, 0, 0, 4, 4, 4, 4, 1, 2, 4, 4, 1] pubkeycol1581 = [1, 4, 4, 3, 2, 0, 2, 3, 1, 0, 1, 2, 0, 2, 2, 4, 3, 1, 0, 0, 3, 4, 2, 0, 3, 2, 3, 3, 2, 1, 1, 3, 1, 4, 4, 2, 0, 2, 0, 3, 3, 2, 3, 1, 1, 0, 2, 1, 0, 4, 2, 0, 0, 1, 3, 4, 1, 1, 2, 3, 2, 1, 3, 2, 2, 4, 1, 4, 4, 1, 4, 3, 1, 0, 1, 1, 1, 4, 0, 0, 1, 4, 4, 3, 2, 2, 2, 3, 2, 1, 1, 1, 2, 4, 2, 0, 1, 3, 1, 1, 2, 0, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 1, 1, 3, 4, 2, 2, 0, 0, 0, 1, 1, 4, 4, 0, 4, 1, 3, 0, 0, 3, 1, 3, 2, 3, 3, 2, 2, 4, 1, 3, 0, 4, 1, 4, 2, 2, 1, 4, 1, 1, 3, 3, 0, 2, 3, 3, 3, 3, 3, 0, 0, 1, 4, 4, 4, 0, 3, 2, 4, 0, 3, 2, 3, 4, 2, 1, 4, 0, 0, 3, 1, 2, 4, 2, 3, 1, 0, 2, 4, 4, 4, 2, 2, 2, 3, 0, 0, 1, 1, 1, 0, 0, 0, 4, 3, 0, 1, 1, 3, 2, 0, 2, 4, 1, 0, 1, 3, 2, 3, 4, 0, 1, 2, 4, 3, 1, 3, 1, 0, 2, 2, 1, 2, 1, 4, 0, 1, 0, 2, 3, 0, 1, 3, 0, 0, 4, 1, 4, 0, 3, 4, 4, 2, 2, 3, 4, 1, 2, 3, 2, 1, 2, 2, 0, 1, 1, 1, 1, 4, 3, 4, 4, 4, 1, 4, 4, 2, 4, 3, 0, 3, 1, 2, 0, 4, 1, 0, 2, 2, 3, 4, 4, 2, 2, 3, 0, 1, 3, 4, 2, 4, 3, 2, 3, 1, 4, 1, 2, 1, 1, 2, 0, 1, 4, 2, 4, 4, 0, 4, 0, 2, 0, 0, 4, 3, 4, 0, 1, 2, 0, 1, 0, 3, 1, 3, 3, 4, 1, 3, 1, 1, 0, 0, 2, 3, 3, 1, 2, 2, 3, 4, 0, 2, 4, 1, 0, 1, 4, 3, 3, 4, 2, 1, 1, 4, 3, 3, 3, 2, 1, 1, 2, 3, 2, 3, 1, 4, 1, 1, 0, 4, 2, 4, 2, 4, 4, 2, 0, 4, 2, 2, 2, 4, 1, 2, 4, 3, 3] pubkeycol1582 = [1, 3, 2, 4, 1, 2, 4, 2, 3, 2, 3, 2, 2, 3, 0, 1, 3, 2, 2, 2, 4, 1, 0, 0, 3, 2, 3, 0, 4, 1, 1, 1, 3, 4, 2, 3, 1, 4, 4, 4, 4, 0, 3, 2, 0, 1, 0, 3, 4, 2, 1, 0, 1, 2, 3, 0, 0, 0, 3, 0, 3, 4, 2, 1, 2, 4, 1, 4, 3, 2, 4, 2, 1, 3, 0, 1, 0, 0, 4, 3, 0, 4, 3, 4, 0, 2, 4, 2, 1, 2, 1, 0, 4, 4, 0, 1, 3, 0, 2, 2, 4, 4, 2, 1, 4, 1, 1, 1, 1, 0, 0, 2, 3, 0, 1, 4, 3, 1, 2, 3, 2, 2, 3, 0, 2, 3, 2, 1, 1, 0, 3, 3, 1, 1, 4, 0, 3, 0, 0, 1, 1, 2, 1, 0, 2, 1, 4, 4, 4, 3, 3, 4, 1, 1, 2, 4, 0, 4, 1, 4, 4, 2, 0, 2, 3, 1, 4, 2, 2, 2, 3, 1, 3, 4, 4, 4, 0, 4, 3, 4, 4, 3, 1, 0, 0, 4, 1, 2, 4, 3, 3, 2, 4, 3, 1, 3, 4, 0, 4, 2, 4, 4, 1, 2, 0, 4, 0, 0, 1, 3, 0, 2, 0, 1, 1, 4, 1, 2, 4, 1, 0, 2, 0, 2, 3, 0, 1, 4, 2, 1, 3, 2, 4, 1, 3, 1, 3, 3, 0, 4, 0, 1, 2, 3, 1, 1, 0, 4, 2, 1, 2, 0, 0, 0, 3, 2, 3, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 2, 3, 0, 4, 0, 3, 2, 2, 3, 0, 4, 2, 0, 4, 2, 2, 3, 3, 2, 2, 1, 0, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 0, 3, 2, 3, 1, 0, 2, 4, 4, 4, 1, 2, 1, 3, 4, 2, 0, 3, 1, 2, 0, 2, 3, 4, 3, 2, 2, 1, 2, 1, 1, 0, 2, 2, 3, 1, 3, 3, 4, 3, 1, 4, 2, 0, 4, 4, 4, 0, 4, 3, 3, 2, 2, 1, 1, 2, 0, 3, 4, 2, 0, 0, 0, 4, 3, 3, 3, 0, 4, 0, 0, 4, 0, 0, 3, 2, 2, 1, 2, 0, 3, 2, 4, 1, 3, 1, 2, 1, 4, 4, 0, 3, 2, 2, 3, 1, 4, 4, 4] pubkeycol1583 = [3, 0, 2, 0, 1, 1, 1, 4, 0, 4, 1, 4, 1, 1, 0, 0, 0, 3, 2, 2, 4, 0, 0, 1, 1, 0, 1, 4, 1, 3, 3, 4, 0, 4, 1, 0, 1, 4, 0, 2, 0, 2, 4, 1, 4, 2, 4, 0, 1, 2, 4, 4, 4, 4, 0, 3, 4, 3, 2, 4, 2, 4, 0, 2, 1, 4, 2, 3, 1, 3, 3, 4, 0, 2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 0, 4, 3, 4, 4, 2, 0, 1, 4, 4, 2, 3, 3, 4, 3, 2, 0, 0, 3, 4, 1, 3, 2, 2, 3, 0, 3, 0, 1, 4, 0, 1, 0, 2, 0, 0, 0, 0, 0, 4, 3, 0, 3, 3, 1, 4, 0, 2, 3, 2, 3, 3, 0, 1, 3, 2, 0, 4, 1, 4, 3, 3, 2, 2, 2, 0, 0, 3, 3, 3, 3, 1, 3, 2, 1, 4, 4, 0, 4, 0, 2, 0, 3, 4, 3, 1, 4, 3, 4, 1, 1, 3, 1, 1, 2, 1, 3, 0, 3, 1, 3, 3, 4, 0, 1, 1, 0, 3, 1, 3, 4, 2, 2, 1, 2, 3, 3, 4, 2, 2, 3, 4, 1, 0, 3, 1, 0, 3, 0, 3, 4, 0, 2, 3, 0, 2, 1, 4, 2, 3, 1, 0, 1, 1, 1, 2, 1, 1, 4, 1, 2, 0, 2, 4, 2, 0, 3, 3, 4, 3, 0, 2, 1, 3, 3, 2, 0, 4, 2, 0, 1, 0, 0, 2, 0, 4, 4, 4, 3, 3, 0, 4, 1, 0, 2, 2, 0, 1, 0, 3, 1, 3, 4, 2, 2, 1, 0, 2, 1, 3, 4, 4, 3, 3, 0, 0, 1, 4, 4, 4, 1, 4, 0, 2, 0, 2, 1, 1, 0, 4, 3, 4, 1, 2, 4, 4, 4, 4, 3, 4, 4, 0, 3, 0, 1, 1, 1, 1, 2, 2, 0, 3, 3, 2, 2, 1, 4, 4, 0, 4, 3, 2, 2, 0, 1, 3, 4, 0, 1, 3, 1, 4, 0, 4, 0, 2, 3, 4, 2, 2, 4, 0, 0, 3, 3, 1, 1, 4, 2, 1, 4, 3, 4, 4, 2, 2, 3, 2, 3, 4, 4, 0, 1, 0, 0, 3, 0, 3, 3, 3, 0, 3, 2, 3, 0, 3, 0, 4, 4, 3, 4, 4, 1, 4, 3] pubkeycol1584 = [4, 2, 2, 0, 2, 2, 3, 3, 0, 1, 3, 3, 3, 1, 3, 4, 1, 0, 2, 1, 1, 4, 3, 4, 4, 0, 3, 4, 1, 3, 0, 0, 3, 4, 0, 4, 1, 3, 1, 0, 2, 0, 4, 1, 0, 0, 4, 4, 2, 3, 2, 3, 2, 1, 2, 4, 2, 1, 2, 0, 1, 3, 4, 2, 2, 0, 4, 4, 4, 4, 1, 1, 0, 0, 2, 2, 0, 3, 4, 4, 1, 1, 4, 4, 2, 1, 3, 1, 1, 2, 2, 4, 2, 1, 4, 4, 1, 0, 3, 1, 4, 0, 1, 2, 4, 4, 0, 2, 1, 3, 4, 2, 4, 3, 0, 1, 2, 2, 1, 4, 0, 3, 3, 0, 1, 3, 4, 2, 4, 3, 3, 4, 2, 4, 2, 0, 1, 0, 1, 2, 4, 4, 2, 2, 4, 2, 3, 2, 2, 3, 1, 0, 1, 0, 2, 1, 4, 4, 1, 2, 3, 4, 0, 2, 2, 1, 3, 3, 2, 4, 2, 1, 0, 0, 4, 0, 3, 1, 1, 3, 4, 0, 1, 4, 1, 1, 3, 1, 3, 1, 0, 2, 2, 4, 3, 3, 2, 1, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 0, 3, 4, 4, 1, 3, 3, 0, 1, 4, 1, 4, 3, 0, 4, 4, 1, 2, 3, 0, 4, 1, 3, 4, 2, 2, 0, 3, 0, 2, 2, 2, 3, 0, 1, 3, 2, 3, 1, 2, 3, 1, 2, 3, 0, 3, 2, 3, 0, 2, 4, 3, 0, 0, 2, 2, 0, 0, 1, 0, 3, 4, 3, 2, 2, 0, 2, 4, 2, 4, 3, 2, 1, 4, 3, 3, 2, 0, 0, 1, 1, 2, 0, 3, 4, 3, 4, 0, 2, 2, 1, 1, 0, 3, 1, 0, 2, 3, 3, 0, 0, 0, 1, 1, 4, 4, 2, 1, 0, 3, 2, 0, 1, 1, 2, 0, 1, 1, 0, 3, 4, 4, 1, 1, 2, 1, 1, 1, 3, 2, 1, 4, 0, 3, 0, 0, 1, 1, 2, 3, 3, 2, 0, 4, 3, 4, 4, 2, 3, 2, 4, 1, 4, 1, 3, 2, 0, 0, 4, 3, 3, 1, 2, 0, 0, 2, 0, 2, 4, 2, 4, 1, 3, 3, 3, 0, 3, 4, 3, 0, 3, 1, 0, 0, 1, 2, 1, 4, 3, 0, 4] pubkeycol1585 = [0, 2, 1, 0, 1, 2, 4, 0, 4, 3, 4, 2, 3, 1, 4, 2, 1, 0, 0, 1, 0, 1, 4, 4, 1, 4, 2, 0, 4, 0, 2, 3, 0, 4, 4, 0, 1, 0, 4, 0, 3, 4, 3, 3, 4, 3, 4, 2, 3, 4, 0, 3, 0, 0, 3, 1, 1, 4, 4, 4, 4, 0, 1, 3, 3, 0, 0, 2, 1, 4, 1, 2, 4, 1, 1, 4, 1, 4, 0, 2, 2, 4, 4, 2, 4, 3, 0, 3, 0, 1, 0, 0, 2, 1, 0, 4, 4, 3, 4, 0, 0, 4, 1, 1, 4, 1, 1, 0, 1, 3, 3, 2, 0, 0, 1, 0, 4, 0, 4, 2, 2, 3, 1, 1, 3, 1, 3, 3, 0, 3, 4, 0, 4, 4, 1, 3, 0, 2, 3, 3, 0, 0, 4, 1, 3, 0, 0, 1, 4, 0, 3, 1, 1, 3, 4, 0, 2, 4, 1, 0, 1, 4, 4, 0, 4, 4, 4, 4, 0, 0, 3, 1, 0, 1, 3, 3, 0, 2, 4, 4, 2, 0, 1, 1, 0, 1, 4, 0, 2, 4, 2, 2, 3, 2, 0, 4, 4, 1, 1, 1, 3, 4, 3, 4, 2, 3, 3, 4, 4, 1, 0, 3, 1, 3, 3, 3, 2, 1, 2, 3, 1, 2, 1, 3, 1, 1, 0, 3, 0, 4, 4, 4, 0, 2, 4, 0, 3, 4, 1, 1, 2, 4, 0, 1, 2, 2, 4, 3, 3, 3, 1, 1, 3, 3, 1, 0, 1, 4, 1, 0, 4, 1, 1, 4, 0, 1, 4, 2, 0, 3, 0, 0, 3, 2, 3, 2, 1, 1, 2, 4, 1, 4, 2, 1, 4, 1, 2, 2, 1, 3, 4, 1, 2, 1, 1, 2, 1, 2, 2, 4, 3, 3, 4, 4, 0, 2, 3, 3, 2, 1, 1, 0, 1, 1, 4, 4, 3, 3, 1, 2, 1, 0, 0, 0, 1, 1, 3, 3, 1, 3, 1, 2, 4, 2, 0, 1, 4, 4, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 3, 4, 0, 1, 1, 2, 3, 1, 4, 4, 4, 1, 1, 2, 4, 0, 0, 3, 1, 0, 0, 1, 2, 3, 1, 1, 4, 2, 4, 2, 4, 2, 3, 0, 2, 4, 3, 0, 2, 2, 2, 3, 2, 3, 1, 4, 4, 0, 2, 1, 0, 1] pubkeycol1586 = [3, 2, 0, 2, 3, 0, 2, 1, 0, 0, 3, 0, 4, 3, 2, 1, 2, 0, 4, 0, 0, 1, 2, 0, 3, 1, 4, 0, 1, 0, 0, 0, 4, 0, 0, 4, 4, 0, 1, 1, 1, 4, 2, 0, 0, 1, 0, 3, 3, 0, 4, 4, 2, 2, 4, 0, 1, 3, 4, 2, 1, 0, 1, 1, 3, 2, 4, 4, 0, 1, 3, 2, 4, 1, 0, 2, 1, 3, 4, 1, 1, 4, 4, 0, 1, 4, 0, 2, 0, 3, 2, 3, 4, 4, 4, 0, 1, 4, 0, 2, 2, 2, 4, 3, 1, 4, 2, 1, 2, 4, 0, 0, 2, 2, 4, 3, 4, 4, 4, 2, 2, 1, 0, 0, 4, 1, 3, 0, 1, 4, 1, 1, 0, 4, 1, 0, 0, 1, 2, 1, 0, 2, 4, 4, 4, 2, 0, 0, 3, 2, 2, 2, 1, 2, 4, 2, 3, 3, 0, 1, 2, 1, 3, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 2, 0, 3, 0, 3, 2, 4, 4, 1, 3, 2, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 3, 4, 2, 3, 1, 3, 2, 0, 4, 0, 2, 4, 3, 2, 3, 0, 2, 0, 1, 2, 1, 2, 2, 3, 4, 3, 1, 1, 0, 3, 1, 1, 0, 4, 1, 2, 2, 4, 3, 1, 0, 1, 4, 3, 0, 0, 4, 3, 0, 2, 3, 1, 2, 1, 4, 2, 3, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 4, 0, 2, 3, 0, 1, 1, 4, 0, 1, 2, 4, 4, 4, 0, 4, 2, 1, 4, 4, 1, 3, 1, 0, 4, 1, 3, 4, 3, 3, 2, 3, 3, 2, 1, 0, 2, 2, 4, 4, 3, 3, 1, 4, 4, 4, 2, 0, 1, 2, 2, 3, 0, 3, 1, 2, 4, 2, 1, 2, 4, 0, 1, 1, 0, 3, 1, 0, 2, 3, 1, 4, 2, 0, 4, 0, 4, 1, 1, 2, 2, 4, 4, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 0, 1, 4, 3, 2, 2, 4, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 3, 3, 4, 0, 4, 4, 2, 4, 0, 2, 4, 2, 4, 1, 4, 3] pubkeycol1587 = [1, 0, 0, 0, 3, 3, 2, 1, 3, 2, 4, 2, 1, 4, 0, 4, 0, 0, 0, 2, 3, 4, 1, 0, 1, 3, 4, 0, 3, 1, 4, 2, 3, 3, 1, 1, 1, 2, 0, 3, 0, 0, 2, 0, 1, 2, 3, 1, 3, 4, 3, 2, 4, 3, 2, 4, 3, 3, 0, 1, 1, 3, 1, 4, 0, 4, 1, 0, 3, 3, 1, 2, 3, 2, 3, 0, 3, 0, 2, 0, 2, 1, 0, 2, 4, 2, 3, 0, 1, 4, 3, 4, 2, 2, 1, 1, 2, 0, 2, 3, 1, 1, 4, 3, 4, 0, 1, 0, 4, 4, 0, 1, 3, 0, 1, 1, 4, 3, 3, 1, 3, 0, 1, 0, 1, 1, 4, 4, 0, 0, 2, 3, 0, 2, 4, 0, 3, 0, 4, 3, 3, 0, 2, 2, 3, 2, 0, 4, 3, 3, 0, 0, 2, 2, 3, 3, 1, 0, 4, 3, 0, 3, 3, 3, 1, 4, 1, 4, 1, 0, 4, 0, 2, 1, 4, 2, 3, 4, 0, 2, 3, 2, 1, 3, 0, 1, 2, 4, 2, 3, 4, 4, 1, 1, 4, 3, 2, 2, 0, 4, 4, 3, 1, 0, 2, 3, 1, 2, 2, 2, 4, 4, 3, 1, 3, 3, 4, 3, 2, 3, 2, 2, 3, 2, 4, 3, 1, 0, 3, 2, 3, 3, 4, 4, 0, 2, 3, 1, 3, 0, 0, 2, 3, 3, 4, 3, 2, 3, 3, 0, 4, 4, 1, 1, 2, 0, 2, 4, 2, 2, 3, 2, 0, 0, 3, 2, 0, 3, 1, 3, 2, 4, 3, 4, 3, 1, 4, 0, 1, 4, 3, 1, 0, 3, 2, 3, 4, 2, 4, 3, 2, 3, 1, 2, 1, 3, 0, 0, 4, 3, 1, 0, 0, 4, 0, 2, 3, 2, 2, 3, 3, 1, 0, 0, 2, 3, 2, 1, 4, 1, 3, 4, 0, 4, 0, 2, 3, 1, 4, 2, 4, 2, 4, 0, 0, 3, 1, 4, 2, 4, 0, 2, 3, 4, 4, 1, 3, 2, 0, 0, 4, 2, 0, 3, 4, 3, 0, 4, 3, 2, 1, 2, 2, 0, 2, 4, 3, 1, 1, 2, 2, 2, 4, 2, 1, 1, 3, 0, 2, 0, 2, 4, 0, 0, 2, 1, 2, 3, 0, 4, 3, 1, 1, 3, 2, 2, 4, 0, 0, 3] pubkeycol1588 = [3, 0, 3, 1, 3, 3, 4, 4, 3, 0, 2, 0, 3, 0, 1, 3, 1, 3, 2, 3, 2, 1, 3, 1, 3, 3, 2, 2, 4, 2, 3, 4, 0, 0, 3, 4, 2, 3, 1, 1, 2, 3, 0, 0, 4, 3, 2, 0, 1, 2, 3, 1, 3, 1, 1, 1, 0, 0, 2, 3, 1, 2, 4, 3, 0, 1, 2, 3, 0, 2, 2, 0, 2, 0, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 2, 4, 2, 3, 1, 3, 3, 4, 4, 4, 3, 3, 3, 2, 0, 0, 0, 2, 1, 4, 1, 1, 1, 4, 1, 3, 0, 2, 0, 4, 0, 3, 2, 2, 2, 4, 4, 0, 3, 2, 2, 2, 2, 0, 4, 2, 1, 2, 0, 1, 1, 3, 2, 4, 4, 0, 1, 1, 1, 4, 3, 1, 2, 3, 3, 3, 0, 4, 1, 0, 3, 1, 1, 4, 2, 2, 0, 1, 4, 3, 0, 4, 3, 3, 0, 0, 2, 2, 3, 2, 3, 4, 1, 2, 4, 2, 2, 3, 3, 1, 3, 1, 0, 4, 1, 2, 4, 2, 3, 3, 4, 0, 2, 4, 3, 1, 1, 4, 3, 1, 2, 0, 3, 3, 1, 1, 0, 2, 2, 2, 4, 3, 2, 4, 4, 2, 4, 4, 0, 3, 2, 2, 0, 1, 4, 2, 0, 2, 4, 0, 2, 2, 4, 0, 1, 3, 2, 3, 3, 1, 4, 0, 3, 3, 1, 4, 0, 4, 0, 3, 3, 0, 4, 1, 4, 4, 3, 4, 4, 2, 0, 0, 1, 2, 3, 3, 0, 2, 1, 4, 4, 2, 3, 3, 2, 3, 4, 0, 1, 2, 3, 2, 2, 0, 1, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 3, 1, 2, 1, 1, 4, 4, 0, 3, 0, 1, 0, 2, 1, 3, 0, 0, 1, 4, 3, 1, 4, 4, 1, 0, 4, 1, 1, 3, 3, 4, 0, 4, 2, 3, 4, 3, 1, 2, 0, 4, 4, 0, 4, 3, 1, 1, 4, 2, 3, 0, 3, 1, 2, 1, 3, 2, 4, 3, 2, 3, 0, 2, 2, 3, 3, 1, 3, 4, 4, 1, 1, 0, 0, 1, 3, 2, 4, 2, 3, 0, 3, 1, 1, 3, 1, 4, 2, 1, 2, 1, 0, 1, 2, 1, 3, 1, 4, 1] pubkeycol1589 = [1, 0, 4, 0, 0, 4, 3, 1, 2, 2, 2, 3, 2, 1, 4, 3, 1, 4, 3, 1, 4, 4, 0, 4, 4, 0, 2, 1, 2, 2, 2, 1, 2, 0, 3, 1, 4, 1, 4, 3, 2, 4, 0, 1, 4, 1, 3, 4, 2, 2, 1, 0, 1, 1, 4, 0, 1, 0, 0, 3, 1, 0, 2, 4, 1, 4, 1, 3, 0, 4, 1, 1, 3, 2, 1, 1, 1, 0, 3, 4, 4, 2, 3, 2, 3, 3, 1, 3, 1, 1, 4, 4, 3, 4, 0, 4, 2, 4, 3, 0, 1, 4, 3, 2, 2, 4, 0, 3, 2, 0, 1, 4, 0, 0, 0, 2, 3, 2, 2, 2, 3, 4, 3, 0, 4, 4, 4, 3, 0, 3, 0, 1, 2, 0, 1, 0, 4, 4, 1, 4, 2, 0, 3, 4, 0, 0, 4, 1, 4, 2, 1, 2, 1, 2, 2, 4, 0, 4, 2, 2, 0, 0, 2, 1, 1, 1, 4, 2, 4, 3, 1, 4, 3, 1, 0, 2, 3, 0, 4, 3, 4, 2, 2, 3, 2, 4, 1, 2, 2, 2, 0, 3, 1, 1, 3, 3, 2, 2, 0, 3, 2, 0, 3, 0, 3, 0, 0, 3, 3, 3, 2, 0, 2, 4, 0, 4, 4, 1, 0, 0, 3, 3, 1, 1, 4, 1, 1, 4, 0, 3, 3, 0, 2, 4, 3, 2, 2, 3, 3, 0, 3, 0, 3, 2, 3, 4, 1, 0, 3, 1, 1, 2, 0, 1, 3, 0, 2, 0, 1, 3, 2, 4, 0, 1, 1, 2, 0, 1, 1, 1, 4, 3, 0, 4, 2, 2, 3, 4, 4, 3, 4, 2, 4, 4, 4, 3, 2, 1, 1, 0, 3, 2, 3, 0, 4, 2, 0, 0, 0, 3, 0, 4, 2, 4, 4, 4, 3, 1, 3, 4, 3, 4, 2, 4, 4, 1, 0, 1, 2, 2, 1, 2, 0, 1, 3, 4, 0, 4, 2, 0, 1, 3, 0, 4, 0, 4, 0, 0, 0, 1, 2, 3, 2, 3, 4, 1, 3, 2, 4, 2, 0, 0, 2, 1, 3, 2, 1, 1, 4, 0, 3, 0, 0, 4, 3, 4, 1, 4, 1, 4, 4, 3, 3, 3, 2, 3, 0, 3, 3, 2, 4, 2, 2, 1, 2, 1, 0, 3, 1, 2, 0, 1, 3, 4, 1, 4, 4, 3, 3, 1] pubkeycol1590 = [3, 3, 1, 0, 2, 4, 3, 4, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 3, 0, 1, 0, 0, 4, 3, 3, 3, 0, 3, 1, 0, 2, 0, 4, 4, 1, 3, 3, 1, 3, 3, 2, 0, 4, 4, 3, 1, 2, 1, 4, 0, 3, 0, 0, 0, 2, 3, 1, 0, 4, 4, 4, 4, 4, 2, 1, 2, 3, 4, 2, 1, 3, 0, 0, 0, 1, 2, 0, 4, 4, 4, 1, 2, 3, 0, 2, 1, 3, 4, 4, 3, 3, 3, 3, 4, 2, 4, 2, 3, 4, 0, 2, 3, 3, 3, 2, 0, 4, 0, 0, 4, 3, 4, 3, 4, 0, 4, 0, 3, 0, 3, 4, 0, 0, 2, 3, 0, 2, 2, 1, 4, 3, 3, 4, 2, 4, 1, 4, 2, 1, 2, 3, 3, 2, 0, 4, 3, 2, 3, 3, 2, 2, 4, 2, 0, 4, 4, 4, 4, 1, 0, 0, 2, 4, 2, 3, 3, 2, 4, 3, 4, 4, 3, 1, 2, 4, 2, 3, 2, 2, 2, 4, 4, 3, 1, 3, 3, 3, 0, 4, 0, 1, 0, 3, 4, 1, 2, 4, 1, 4, 4, 3, 3, 0, 0, 3, 3, 3, 0, 1, 4, 2, 3, 2, 4, 3, 3, 0, 0, 0, 2, 0, 0, 4, 4, 2, 3, 4, 4, 3, 3, 4, 4, 2, 2, 1, 3, 3, 1, 4, 1, 0, 1, 3, 1, 0, 4, 2, 4, 4, 0, 0, 2, 1, 4, 4, 2, 0, 0, 2, 1, 3, 4, 3, 0, 0, 1, 3, 0, 1, 2, 4, 1, 2, 1, 1, 1, 3, 3, 4, 3, 2, 4, 2, 0, 3, 2, 3, 1, 4, 3, 4, 1, 0, 4, 2, 4, 2, 4, 4, 4, 1, 3, 3, 0, 1, 4, 3, 4, 1, 1, 4, 2, 1, 0, 2, 1, 4, 3, 1, 2, 1, 4, 1, 1, 4, 2, 3, 1, 1, 1, 4, 4, 4, 1, 0, 1, 3, 2, 2, 2, 0, 1, 1, 2, 4, 0, 0, 2, 2, 2, 3, 2, 3, 4, 2, 3, 0, 3, 1, 1, 4, 1, 3, 3, 2, 0, 4, 3, 0, 0, 2, 3, 3, 4, 0, 4, 0, 1, 2, 0, 0, 4, 3, 0, 0, 0, 2, 2, 0, 0, 3, 0, 2, 0, 1, 0, 3] pubkeycol1591 = [2, 4, 4, 1, 3, 4, 1, 3, 1, 2, 3, 1, 1, 2, 1, 1, 4, 1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 2, 0, 0, 1, 2, 3, 0, 1, 1, 0, 0, 0, 1, 4, 4, 2, 4, 0, 0, 2, 1, 3, 4, 0, 0, 1, 3, 3, 4, 4, 1, 0, 0, 2, 4, 3, 0, 1, 4, 2, 4, 1, 1, 0, 0, 4, 1, 0, 2, 2, 4, 4, 4, 4, 0, 4, 2, 2, 4, 2, 2, 2, 4, 2, 4, 3, 4, 0, 2, 3, 3, 1, 4, 2, 0, 0, 4, 1, 0, 3, 4, 3, 3, 2, 4, 3, 2, 4, 4, 2, 1, 1, 3, 3, 1, 0, 0, 0, 0, 1, 4, 4, 2, 3, 3, 4, 1, 4, 1, 1, 3, 4, 3, 2, 0, 3, 4, 3, 1, 4, 4, 4, 2, 4, 4, 4, 0, 0, 2, 1, 1, 1, 3, 0, 4, 0, 2, 3, 1, 4, 1, 1, 1, 0, 3, 0, 0, 3, 3, 1, 4, 0, 0, 1, 3, 3, 1, 2, 0, 3, 4, 1, 1, 4, 4, 1, 3, 3, 4, 1, 4, 4, 4, 4, 4, 0, 1, 3, 2, 3, 1, 2, 0, 1, 3, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 4, 1, 4, 2, 0, 2, 2, 0, 1, 2, 4, 3, 4, 3, 3, 0, 1, 3, 0, 3, 0, 0, 4, 3, 2, 1, 1, 4, 1, 3, 4, 3, 3, 4, 2, 4, 1, 0, 1, 4, 3, 3, 0, 4, 0, 4, 1, 3, 4, 2, 1, 2, 4, 3, 4, 1, 0, 2, 1, 3, 2, 3, 1, 1, 4, 0, 0, 3, 2, 3, 4, 0, 3, 0, 2, 4, 3, 1, 1, 3, 0, 4, 4, 2, 4, 0, 3, 2, 1, 2, 4, 4, 1, 2, 3, 4, 2, 3, 0, 2, 0, 3, 4, 0, 2, 0, 2, 4, 1, 0, 4, 3, 2, 1, 1, 4, 1, 1, 1, 1, 4, 4, 1, 4, 0, 3, 0, 3, 1, 2, 2, 2, 4, 1, 1, 4, 3, 2, 1, 4, 4, 1, 0, 2, 4, 1, 4, 0, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 3, 1, 2, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 0, 4, 0] pubkeycol1592 = [2, 1, 2, 2, 1, 1, 1, 1, 4, 2, 2, 4, 1, 4, 4, 3, 0, 2, 2, 0, 3, 0, 1, 4, 1, 2, 3, 0, 1, 1, 0, 0, 2, 4, 3, 0, 2, 4, 0, 0, 2, 0, 4, 2, 1, 4, 2, 3, 4, 1, 0, 4, 4, 3, 3, 2, 2, 4, 1, 3, 4, 2, 3, 0, 4, 1, 1, 4, 3, 3, 4, 0, 4, 4, 0, 2, 0, 2, 2, 3, 2, 4, 0, 2, 0, 4, 1, 4, 2, 3, 4, 1, 2, 3, 1, 0, 1, 0, 4, 1, 2, 0, 4, 4, 3, 2, 2, 3, 0, 2, 1, 4, 2, 4, 3, 4, 1, 0, 4, 3, 1, 0, 0, 2, 4, 0, 3, 0, 2, 4, 4, 3, 1, 4, 2, 1, 1, 4, 2, 1, 3, 4, 0, 1, 1, 0, 0, 0, 2, 0, 2, 3, 4, 3, 1, 4, 3, 4, 2, 3, 0, 2, 3, 2, 3, 1, 3, 0, 3, 0, 3, 2, 0, 1, 0, 1, 0, 4, 1, 3, 4, 4, 2, 0, 1, 1, 3, 4, 3, 4, 2, 1, 4, 1, 1, 1, 2, 1, 4, 2, 3, 1, 1, 4, 4, 4, 0, 4, 4, 1, 0, 4, 3, 1, 4, 2, 4, 1, 1, 3, 4, 3, 2, 0, 0, 2, 4, 2, 2, 3, 3, 1, 1, 0, 4, 3, 0, 0, 4, 1, 4, 0, 1, 2, 1, 0, 1, 4, 4, 1, 4, 1, 4, 4, 4, 3, 1, 4, 2, 0, 4, 4, 1, 4, 0, 0, 3, 1, 0, 4, 3, 2, 4, 0, 4, 3, 1, 4, 2, 4, 3, 2, 1, 3, 2, 3, 1, 3, 0, 1, 1, 4, 1, 2, 0, 2, 0, 2, 2, 2, 4, 2, 3, 4, 4, 2, 1, 0, 0, 2, 2, 4, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 4, 1, 0, 1, 0, 1, 1, 0, 4, 3, 2, 4, 3, 1, 4, 2, 0, 4, 0, 4, 4, 2, 0, 3, 4, 3, 4, 1, 3, 4, 2, 3, 4, 0, 4, 2, 4, 0, 1, 2, 0, 0, 4, 2, 4, 1, 3, 4, 1, 2, 0, 2, 1, 0, 4, 2, 2, 1, 0, 4, 0, 4, 2, 0, 1, 0, 4, 0, 3, 0, 4, 1, 1, 3, 4, 3, 3, 3] pubkeycol1593 = [0, 2, 0, 4, 2, 3, 1, 2, 1, 3, 4, 2, 3, 1, 2, 2, 1, 1, 0, 2, 4, 1, 1, 4, 1, 3, 4, 4, 4, 3, 3, 4, 3, 3, 2, 3, 0, 2, 3, 2, 0, 4, 4, 0, 2, 3, 2, 1, 1, 1, 1, 0, 0, 4, 1, 3, 3, 3, 4, 4, 3, 1, 0, 4, 0, 0, 3, 0, 0, 2, 0, 2, 2, 4, 1, 0, 4, 1, 1, 4, 0, 2, 0, 1, 2, 3, 2, 3, 3, 2, 2, 0, 3, 4, 2, 4, 0, 0, 3, 0, 2, 1, 2, 0, 1, 0, 3, 2, 0, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 0, 4, 2, 2, 3, 3, 4, 3, 2, 0, 4, 2, 2, 3, 2, 4, 4, 4, 3, 4, 3, 2, 2, 4, 3, 1, 1, 3, 3, 2, 3, 0, 0, 4, 3, 3, 3, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 4, 0, 1, 2, 1, 1, 0, 4, 4, 4, 4, 1, 3, 3, 0, 1, 3, 0, 0, 3, 2, 0, 2, 2, 1, 3, 1, 1, 1, 4, 4, 3, 2, 0, 0, 0, 4, 4, 0, 4, 0, 4, 1, 1, 2, 3, 4, 0, 3, 4, 2, 1, 4, 3, 2, 4, 1, 1, 3, 1, 0, 3, 2, 2, 2, 1, 2, 2, 3, 1, 3, 4, 2, 4, 0, 3, 2, 1, 4, 4, 0, 3, 1, 0, 1, 2, 4, 1, 1, 3, 1, 2, 1, 4, 2, 1, 1, 4, 3, 0, 3, 0, 4, 2, 0, 1, 1, 1, 0, 3, 4, 4, 3, 0, 0, 3, 0, 3, 1, 0, 4, 0, 4, 4, 0, 1, 0, 4, 1, 1, 1, 4, 3, 3, 0, 0, 2, 2, 1, 3, 1, 1, 3, 1, 0, 3, 0, 4, 3, 0, 2, 0, 4, 2, 3, 0, 4, 2, 2, 1, 1, 1, 2, 4, 1, 1, 3, 4, 1, 4, 1, 4, 4, 2, 3, 1, 3, 3, 0, 3, 3, 3, 0, 4, 3, 2, 3, 0, 1, 1, 0, 4, 2, 2, 1, 3, 0, 2, 1, 3, 0, 0, 0, 2, 1, 0, 2, 1, 1, 3, 4, 4, 3, 0, 0, 4, 0, 0, 4, 0, 2, 2, 3, 1, 1, 0, 2, 2, 2, 3] pubkeycol1594 = [1, 1, 3, 2, 4, 3, 3, 0, 4, 3, 4, 2, 1, 1, 0, 0, 1, 1, 0, 1, 4, 4, 2, 2, 4, 4, 1, 4, 0, 0, 4, 0, 2, 2, 2, 3, 4, 0, 3, 4, 3, 2, 4, 2, 0, 4, 4, 0, 2, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 1, 0, 1, 4, 3, 2, 4, 0, 3, 1, 2, 4, 4, 0, 4, 0, 4, 4, 3, 0, 4, 4, 1, 1, 0, 3, 2, 0, 4, 3, 4, 3, 2, 3, 0, 3, 2, 0, 3, 0, 0, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 4, 2, 1, 1, 4, 2, 1, 1, 3, 4, 1, 1, 3, 1, 1, 0, 3, 4, 2, 0, 3, 4, 3, 1, 0, 0, 1, 3, 0, 3, 4, 3, 3, 2, 2, 0, 4, 0, 2, 0, 1, 1, 2, 3, 4, 1, 3, 1, 1, 2, 0, 0, 4, 3, 1, 1, 0, 0, 3, 1, 3, 0, 2, 3, 0, 4, 4, 4, 4, 3, 3, 0, 1, 3, 3, 4, 4, 3, 2, 2, 3, 0, 1, 4, 0, 4, 0, 3, 0, 4, 2, 3, 4, 1, 1, 4, 0, 1, 0, 1, 3, 2, 3, 3, 2, 0, 1, 4, 0, 0, 3, 3, 4, 4, 0, 1, 1, 0, 0, 1, 0, 1, 4, 4, 3, 4, 2, 2, 2, 1, 3, 4, 4, 3, 1, 1, 4, 1, 0, 3, 1, 0, 1, 1, 2, 0, 1, 2, 2, 3, 1, 4, 0, 0, 3, 2, 2, 1, 3, 0, 0, 3, 1, 3, 3, 2, 4, 3, 4, 0, 2, 4, 0, 3, 2, 3, 3, 1, 4, 2, 2, 2, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 2, 3, 4, 0, 1, 2, 0, 4, 2, 3, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 4, 0, 3, 4, 3, 2, 2, 0, 3, 1, 2, 0, 4, 3, 2, 2, 3, 2, 2, 0, 0, 1, 1, 2, 4, 2, 4, 4, 4, 2, 1, 4, 2, 3, 0, 4, 3, 3, 0, 2, 4, 3, 0, 1, 0, 4, 3, 4, 1, 1, 4, 4, 2, 3, 1, 2, 1, 4, 1, 2, 3, 2, 2, 0, 4, 4, 1, 0, 2, 2, 3, 4, 3, 2, 2, 0] pubkeycol1595 = [4, 3, 3, 2, 1, 0, 4, 4, 3, 4, 1, 2, 2, 3, 2, 2, 0, 3, 0, 2, 2, 1, 0, 1, 3, 2, 4, 0, 2, 2, 4, 2, 3, 3, 0, 2, 1, 3, 3, 4, 2, 4, 0, 1, 2, 2, 2, 3, 2, 1, 3, 1, 1, 2, 3, 3, 1, 3, 1, 2, 3, 0, 4, 4, 3, 0, 4, 0, 3, 2, 3, 2, 3, 1, 2, 1, 3, 1, 2, 3, 4, 1, 3, 4, 3, 1, 4, 3, 1, 0, 2, 2, 0, 3, 2, 4, 1, 0, 4, 3, 4, 4, 3, 2, 4, 2, 3, 4, 2, 0, 2, 4, 0, 2, 2, 3, 2, 4, 1, 1, 0, 4, 0, 2, 4, 3, 3, 2, 3, 1, 0, 0, 1, 2, 3, 3, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 3, 0, 0, 4, 1, 3, 0, 0, 2, 2, 3, 2, 4, 3, 2, 3, 1, 1, 2, 1, 0, 0, 3, 4, 0, 3, 3, 1, 0, 2, 2, 3, 2, 4, 4, 4, 2, 4, 1, 1, 0, 2, 0, 0, 1, 4, 2, 3, 2, 0, 2, 3, 1, 4, 2, 0, 1, 3, 0, 3, 2, 2, 1, 4, 0, 2, 3, 2, 2, 4, 1, 4, 2, 1, 1, 3, 1, 3, 0, 1, 2, 4, 2, 0, 2, 3, 1, 2, 0, 4, 4, 0, 4, 0, 0, 1, 1, 2, 2, 4, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 4, 4, 2, 2, 4, 0, 0, 1, 0, 0, 2, 0, 2, 4, 4, 3, 0, 3, 0, 1, 2, 4, 4, 0, 0, 0, 2, 1, 3, 3, 3, 0, 2, 1, 3, 0, 3, 2, 1, 1, 0, 4, 1, 4, 2, 4, 3, 3, 1, 4, 0, 4, 1, 3, 2, 0, 0, 2, 0, 2, 1, 4, 0, 1, 4, 1, 1, 1, 0, 0, 1, 3, 3, 3, 1, 4, 4, 4, 4, 0, 2, 2, 2, 3, 3, 4, 1, 0, 3, 4, 3, 0, 2, 4, 0, 0, 1, 2, 0, 3, 4, 0, 1, 1, 1, 3, 0, 3, 1, 0, 3, 2, 0, 0, 3, 3, 3, 1, 2, 1, 2, 2, 1, 1, 4, 4, 1, 3, 1, 0, 1, 2, 3, 3, 3, 1, 3, 4, 4, 3, 2, 3, 2] pubkeycol1596 = [0, 4, 0, 0, 4, 3, 1, 4, 3, 4, 4, 3, 1, 3, 4, 1, 1, 4, 1, 4, 0, 1, 3, 1, 0, 3, 4, 4, 0, 0, 3, 1, 0, 2, 2, 3, 1, 4, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 2, 3, 1, 0, 3, 1, 1, 0, 4, 3, 4, 3, 0, 3, 1, 3, 0, 1, 1, 1, 4, 4, 1, 2, 0, 3, 0, 2, 0, 1, 1, 4, 3, 4, 2, 4, 4, 3, 1, 1, 0, 3, 2, 1, 1, 1, 3, 2, 1, 1, 3, 3, 3, 4, 0, 4, 1, 2, 4, 3, 3, 0, 0, 1, 4, 1, 2, 2, 0, 3, 2, 1, 1, 4, 1, 2, 0, 0, 3, 1, 1, 1, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 3, 4, 4, 4, 2, 1, 3, 1, 2, 4, 3, 4, 2, 1, 0, 0, 1, 2, 3, 3, 0, 3, 4, 0, 1, 2, 4, 2, 0, 2, 2, 2, 0, 4, 4, 3, 3, 1, 2, 2, 1, 1, 2, 3, 4, 4, 4, 3, 2, 3, 0, 0, 2, 1, 0, 3, 2, 4, 1, 4, 0, 2, 1, 1, 1, 0, 2, 3, 2, 0, 3, 2, 2, 1, 3, 2, 0, 3, 4, 3, 4, 4, 2, 3, 4, 4, 2, 1, 4, 0, 1, 1, 3, 0, 3, 4, 3, 1, 3, 2, 4, 0, 4, 4, 3, 2, 1, 0, 1, 4, 2, 2, 1, 1, 0, 4, 0, 2, 2, 0, 3, 0, 3, 2, 3, 1, 0, 3, 2, 0, 0, 0, 2, 4, 4, 1, 4, 2, 3, 1, 1, 4, 4, 3, 4, 4, 2, 4, 3, 4, 2, 1, 1, 1, 4, 2, 0, 1, 3, 4, 1, 4, 4, 4, 3, 3, 3, 4, 0, 0, 4, 1, 0, 4, 4, 2, 3, 0, 0, 4, 1, 1, 2, 1, 0, 1, 0, 4, 1, 3, 1, 3, 3, 4, 0, 1, 3, 3, 3, 0, 4, 0, 0, 1, 3, 0, 2, 2, 1, 1, 2, 4, 3, 0, 2, 3, 4, 0, 0, 3, 4, 4, 4, 0, 4, 1, 1, 1, 3, 0, 4, 3, 1, 4, 0, 4, 4, 1, 2, 2, 0, 3, 3, 0, 0, 3, 0, 2, 1, 0, 3, 0, 3, 3, 2, 0, 1, 0, 4, 4] pubkeycol1597 = [3, 0, 2, 2, 3, 3, 4, 2, 0, 1, 1, 4, 1, 2, 2, 3, 0, 0, 4, 2, 4, 2, 3, 3, 4, 2, 1, 0, 1, 0, 0, 3, 3, 4, 3, 4, 3, 2, 1, 0, 0, 0, 0, 2, 2, 4, 1, 2, 0, 0, 2, 3, 1, 0, 2, 3, 3, 1, 0, 4, 3, 0, 3, 0, 1, 3, 2, 2, 2, 0, 4, 3, 1, 2, 1, 2, 0, 4, 4, 2, 4, 3, 1, 2, 1, 3, 4, 4, 0, 3, 4, 0, 4, 4, 4, 4, 4, 3, 2, 2, 3, 1, 4, 1, 0, 1, 4, 1, 2, 2, 3, 3, 3, 1, 0, 4, 1, 4, 3, 3, 4, 0, 2, 4, 3, 0, 1, 0, 3, 3, 4, 4, 2, 0, 1, 3, 4, 0, 2, 3, 0, 0, 4, 0, 2, 3, 4, 2, 4, 0, 3, 3, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 4, 2, 3, 4, 4, 2, 4, 2, 1, 0, 4, 0, 3, 2, 1, 1, 3, 3, 4, 1, 3, 0, 3, 1, 1, 2, 0, 4, 3, 2, 0, 3, 0, 1, 4, 4, 0, 4, 0, 2, 0, 0, 3, 1, 0, 1, 4, 2, 0, 3, 1, 2, 2, 3, 0, 1, 4, 2, 1, 3, 3, 0, 3, 4, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 4, 0, 0, 2, 0, 4, 3, 3, 3, 0, 4, 2, 0, 1, 1, 2, 3, 0, 4, 4, 2, 1, 2, 0, 4, 3, 0, 3, 1, 1, 3, 0, 3, 4, 1, 3, 4, 2, 3, 0, 4, 1, 0, 4, 2, 0, 1, 0, 2, 4, 4, 1, 1, 4, 0, 1, 0, 4, 2, 2, 0, 0, 4, 4, 0, 3, 2, 0, 0, 1, 0, 4, 0, 0, 1, 1, 4, 3, 2, 3, 3, 2, 2, 2, 4, 3, 2, 2, 3, 1, 0, 4, 4, 4, 3, 2, 3, 0, 4, 4, 2, 3, 2, 3, 4, 3, 1, 4, 1, 4, 2, 4, 0, 3, 4, 4, 3, 1, 2, 1, 3, 0, 3, 0, 2, 4, 4, 0, 2, 2, 1, 2, 3, 4, 1, 2, 4, 2, 1, 3, 4, 2, 2, 2, 4, 3, 3, 1, 4, 2, 0, 4, 2, 4, 3, 2, 4, 2, 3, 0, 4, 3] pubkeycol1598 = [4, 0, 4, 3, 3, 2, 1, 1, 2, 0, 2, 3, 0, 3, 2, 4, 4, 0, 4, 3, 4, 1, 2, 0, 2, 1, 2, 0, 2, 1, 3, 0, 2, 0, 1, 3, 4, 3, 3, 4, 1, 2, 3, 0, 4, 0, 1, 0, 0, 4, 2, 4, 2, 3, 0, 1, 0, 1, 3, 4, 0, 0, 0, 3, 2, 0, 1, 2, 4, 2, 2, 4, 0, 3, 2, 3, 2, 3, 3, 4, 4, 2, 2, 4, 1, 3, 1, 1, 4, 0, 2, 3, 3, 0, 2, 1, 2, 4, 0, 4, 3, 4, 4, 1, 2, 3, 4, 2, 0, 1, 2, 2, 4, 0, 0, 0, 4, 3, 2, 3, 2, 2, 2, 1, 3, 2, 2, 2, 1, 3, 0, 3, 2, 1, 4, 3, 0, 2, 4, 1, 1, 3, 2, 2, 3, 0, 2, 1, 4, 1, 0, 1, 4, 3, 1, 0, 4, 4, 4, 2, 2, 3, 4, 2, 2, 2, 4, 4, 4, 3, 0, 1, 1, 4, 1, 3, 0, 2, 0, 4, 4, 3, 0, 3, 1, 1, 3, 2, 1, 4, 1, 0, 2, 3, 1, 3, 3, 1, 0, 2, 0, 0, 1, 4, 0, 0, 3, 0, 1, 1, 2, 2, 3, 2, 0, 4, 0, 2, 2, 2, 0, 4, 0, 2, 4, 2, 3, 4, 4, 0, 1, 3, 2, 0, 2, 3, 3, 4, 4, 2, 1, 4, 4, 2, 2, 4, 3, 3, 4, 2, 2, 0, 2, 0, 3, 0, 0, 2, 4, 4, 0, 1, 1, 1, 4, 0, 1, 1, 0, 0, 3, 2, 4, 0, 3, 2, 2, 0, 0, 3, 4, 1, 0, 4, 1, 0, 2, 0, 2, 3, 1, 4, 4, 0, 2, 3, 2, 2, 1, 1, 2, 3, 0, 0, 3, 3, 3, 2, 1, 3, 0, 4, 2, 3, 0, 4, 4, 0, 3, 0, 3, 4, 4, 2, 0, 3, 2, 1, 4, 3, 0, 4, 2, 1, 3, 2, 3, 0, 3, 2, 0, 0, 4, 0, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 4, 0, 4, 1, 0, 3, 0, 4, 4, 4, 1, 3, 0, 0, 4, 1, 3, 0, 0, 3, 2, 4, 0, 1, 2, 2, 0, 3, 2, 0, 0, 2, 0, 2, 4, 0, 1, 3, 0, 3, 2] pubkeycol1599 = [0, 1, 1, 1, 2, 4, 1, 2, 3, 2, 2, 2, 0, 1, 4, 0, 3, 3, 1, 1, 4, 2, 2, 1, 0, 4, 0, 0, 0, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 4, 0, 1, 0, 0, 2, 1, 1, 0, 1, 3, 2, 3, 0, 2, 2, 3, 3, 2, 4, 3, 1, 2, 2, 3, 2, 3, 0, 0, 0, 4, 2, 3, 3, 3, 0, 4, 4, 4, 2, 0, 1, 2, 0, 0, 3, 1, 2, 1, 2, 0, 0, 3, 2, 1, 1, 3, 2, 1, 2, 3, 3, 2, 4, 2, 1, 0, 4, 0, 4, 3, 4, 4, 2, 2, 3, 0, 0, 1, 1, 2, 3, 4, 2, 1, 4, 2, 4, 1, 4, 3, 4, 0, 3, 0, 2, 4, 2, 1, 4, 3, 4, 2, 2, 4, 2, 0, 2, 3, 3, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 3, 0, 0, 0, 0, 0, 2, 1, 3, 4, 4, 1, 4, 1, 3, 0, 0, 0, 3, 1, 1, 1, 2, 2, 1, 3, 3, 3, 2, 2, 1, 0, 2, 4, 1, 0, 1, 2, 3, 3, 0, 0, 3, 0, 2, 2, 1, 4, 3, 4, 2, 1, 0, 2, 0, 4, 3, 0, 4, 1, 1, 3, 1, 2, 3, 2, 0, 4, 0, 0, 0, 4, 4, 1, 2, 4, 0, 0, 1, 0, 0, 3, 2, 1, 1, 0, 1, 4, 1, 0, 1, 3, 3, 3, 1, 3, 1, 1, 3, 3, 1, 2, 4, 3, 2, 2, 4, 2, 4, 0, 4, 4, 0, 3, 0, 3, 1, 0, 3, 2, 2, 3, 0, 2, 1, 0, 1, 3, 4, 1, 4, 3, 0, 4, 2, 0, 2, 1, 1, 4, 4, 4, 1, 2, 4, 2, 1, 0, 2, 3, 0, 3, 4, 2, 0, 4, 0, 2, 2, 0, 2, 4, 4, 0, 1, 2, 0, 0, 0, 4, 1, 4, 1, 2, 0, 1, 4, 1, 0, 0, 4, 3, 4, 4, 3, 3, 1, 3, 2, 0, 2, 4, 3, 2, 4, 4, 3, 3, 0, 4, 4, 0, 2, 0, 2, 2, 3, 2, 2, 3, 4, 4, 4, 0, 4, 2, 4, 3, 0, 2, 0, 2, 1, 3, 1, 3, 3, 2, 4, 3, 0, 4, 0, 1, 3, 3, 0] pubkeycol1600 = [2, 4, 4, 0, 4, 3, 4, 1, 2, 4, 3, 2, 3, 3, 0, 3, 4, 1, 1, 1, 3, 1, 4, 2, 2, 2, 0, 1, 4, 2, 1, 2, 3, 1, 0, 3, 0, 3, 3, 2, 2, 1, 1, 1, 3, 2, 2, 3, 0, 0, 1, 0, 2, 0, 1, 3, 0, 1, 4, 0, 3, 1, 4, 1, 0, 0, 4, 1, 4, 3, 4, 3, 2, 1, 0, 4, 4, 1, 4, 0, 1, 0, 0, 4, 0, 1, 0, 0, 4, 3, 2, 0, 1, 1, 1, 4, 3, 2, 0, 4, 2, 1, 2, 3, 3, 3, 1, 4, 1, 2, 4, 3, 4, 4, 1, 2, 4, 3, 1, 3, 4, 4, 2, 2, 2, 0, 0, 4, 4, 1, 0, 4, 1, 0, 4, 0, 3, 1, 1, 1, 3, 0, 4, 0, 2, 3, 2, 1, 1, 4, 1, 2, 2, 4, 4, 0, 0, 4, 1, 2, 4, 4, 0, 3, 3, 3, 1, 3, 1, 0, 1, 4, 0, 4, 4, 4, 3, 4, 1, 4, 3, 2, 0, 1, 3, 3, 0, 2, 3, 3, 1, 1, 4, 4, 4, 2, 2, 0, 2, 4, 0, 0, 3, 2, 3, 1, 1, 1, 0, 4, 4, 1, 1, 3, 1, 1, 4, 1, 4, 2, 1, 3, 2, 3, 3, 0, 0, 1, 4, 1, 3, 4, 2, 3, 3, 2, 1, 4, 4, 3, 0, 4, 2, 4, 0, 0, 0, 2, 2, 3, 2, 4, 0, 2, 1, 1, 1, 3, 1, 4, 3, 1, 0, 1, 4, 3, 1, 4, 2, 0, 0, 1, 2, 4, 4, 0, 0, 1, 0, 3, 3, 1, 1, 2, 0, 0, 4, 3, 1, 4, 1, 2, 0, 1, 2, 0, 3, 1, 4, 3, 4, 1, 4, 1, 4, 2, 4, 1, 4, 1, 3, 4, 1, 3, 0, 4, 4, 4, 4, 1, 1, 1, 3, 3, 2, 0, 4, 0, 3, 0, 3, 3, 0, 3, 4, 3, 1, 1, 2, 4, 2, 0, 0, 2, 3, 2, 0, 1, 1, 3, 3, 0, 3, 2, 2, 2, 0, 1, 1, 0, 3, 2, 0, 0, 0, 2, 3, 1, 1, 2, 3, 4, 4, 2, 2, 2, 1, 4, 4, 1, 4, 4, 2, 4, 3, 2, 3, 1, 4, 4, 0, 4, 3, 4, 0, 2, 3, 0, 3, 2] pubkeycol1601 = [1, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 1, 1, 2, 2, 4, 3, 1, 2, 0, 4, 3, 0, 2, 1, 4, 1, 0, 2, 1, 2, 4, 2, 0, 3, 0, 2, 1, 0, 2, 2, 2, 4, 3, 4, 2, 1, 4, 1, 3, 4, 3, 3, 4, 0, 3, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 0, 1, 0, 3, 1, 1, 3, 4, 3, 4, 2, 3, 3, 3, 2, 1, 1, 1, 2, 1, 3, 4, 2, 2, 2, 4, 4, 1, 2, 0, 1, 0, 4, 4, 4, 2, 0, 1, 0, 4, 2, 1, 2, 3, 1, 0, 2, 4, 2, 4, 1, 2, 0, 4, 4, 4, 3, 4, 1, 3, 3, 4, 1, 1, 4, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 4, 3, 1, 0, 1, 3, 4, 3, 3, 4, 3, 4, 0, 4, 3, 1, 2, 0, 1, 0, 0, 4, 3, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 4, 2, 1, 2, 2, 3, 2, 1, 4, 4, 0, 2, 3, 3, 0, 0, 4, 1, 4, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 0, 1, 1, 2, 1, 1, 4, 2, 4, 1, 0, 0, 4, 0, 4, 4, 2, 2, 1, 4, 4, 2, 1, 4, 2, 0, 0, 0, 1, 2, 3, 0, 4, 0, 3, 4, 0, 4, 3, 2, 0, 4, 3, 4, 4, 0, 4, 3, 0, 0, 0, 3, 0, 1, 1, 0, 4, 2, 3, 1, 4, 3, 3, 0, 4, 3, 0, 1, 1, 0, 3, 0, 1, 3, 2, 4, 0, 1, 1, 3, 0, 3, 3, 3, 0, 2, 4, 1, 4, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 0, 2, 1, 1, 3, 0, 1, 1, 4, 1, 3, 3, 3, 1, 1, 0, 1, 2, 4, 0, 1, 3, 0, 0, 3, 1, 3, 1, 4, 1, 1, 3, 4, 2, 1, 1, 3, 3, 3, 3, 4, 1, 1, 0, 3, 0, 4, 1, 1, 3, 2, 2, 1, 3, 1, 1, 0, 4, 2, 0, 1, 3, 1, 1, 3, 2, 1, 0, 4, 4, 2, 0, 2, 2, 3, 3, 4, 2, 2, 3, 1, 2, 3, 4, 1, 0, 1, 3, 2, 1, 2, 4, 4, 0, 1] pubkeycol1602 = [4, 2, 0, 3, 3, 1, 0, 2, 4, 3, 3, 1, 0, 2, 3, 3, 1, 1, 0, 4, 3, 0, 0, 2, 2, 0, 1, 4, 1, 0, 2, 1, 4, 1, 1, 0, 2, 2, 4, 2, 4, 3, 2, 2, 2, 2, 1, 0, 2, 2, 4, 0, 3, 4, 3, 1, 1, 3, 0, 4, 4, 0, 1, 3, 3, 2, 0, 3, 3, 0, 0, 2, 1, 1, 4, 4, 3, 0, 3, 4, 2, 2, 0, 4, 4, 3, 3, 2, 1, 3, 3, 0, 1, 4, 0, 2, 1, 2, 0, 4, 4, 2, 4, 2, 1, 2, 4, 0, 3, 2, 2, 4, 1, 2, 3, 3, 2, 3, 0, 3, 3, 4, 2, 1, 0, 4, 2, 3, 2, 4, 1, 3, 1, 1, 4, 2, 4, 4, 4, 1, 0, 3, 0, 1, 3, 2, 0, 4, 4, 2, 1, 3, 1, 4, 0, 1, 0, 4, 2, 4, 3, 3, 1, 0, 3, 1, 0, 0, 4, 4, 2, 1, 3, 1, 1, 0, 0, 3, 0, 4, 4, 0, 2, 1, 3, 4, 2, 0, 4, 0, 2, 2, 1, 0, 3, 1, 1, 4, 4, 4, 4, 0, 3, 3, 0, 2, 1, 3, 3, 0, 1, 1, 4, 4, 2, 4, 0, 2, 1, 4, 4, 2, 1, 1, 2, 0, 0, 0, 3, 4, 4, 0, 4, 4, 2, 1, 2, 3, 2, 1, 1, 0, 0, 4, 3, 1, 4, 1, 1, 2, 4, 4, 2, 4, 1, 1, 4, 4, 1, 3, 0, 1, 3, 2, 1, 1, 3, 1, 4, 3, 0, 3, 2, 0, 1, 4, 3, 1, 0, 2, 2, 4, 1, 1, 3, 2, 0, 1, 4, 4, 0, 4, 3, 4, 2, 1, 3, 4, 1, 1, 3, 3, 1, 2, 4, 3, 4, 0, 0, 1, 1, 3, 3, 3, 1, 1, 4, 4, 3, 2, 3, 0, 3, 4, 0, 3, 0, 2, 1, 0, 1, 1, 0, 2, 0, 3, 3, 2, 4, 4, 3, 4, 0, 2, 3, 3, 1, 4, 4, 3, 1, 2, 1, 2, 4, 4, 3, 0, 1, 2, 3, 4, 2, 4, 4, 0, 4, 0, 1, 1, 2, 3, 1, 1, 0, 4, 1, 0, 1, 2, 1, 4, 2, 4, 0, 3, 2, 1, 1, 3, 0, 1, 2, 3, 1, 3, 2, 3, 1, 3] pubkeycol1603 = [0, 4, 1, 4, 4, 0, 0, 4, 1, 2, 2, 4, 3, 1, 2, 4, 0, 4, 2, 3, 0, 0, 2, 4, 0, 4, 4, 1, 2, 2, 0, 3, 2, 4, 4, 1, 4, 0, 1, 4, 3, 3, 1, 1, 0, 1, 2, 0, 2, 2, 0, 4, 0, 3, 0, 4, 0, 0, 4, 4, 1, 0, 4, 0, 0, 0, 1, 0, 2, 4, 0, 3, 0, 4, 4, 1, 1, 4, 4, 1, 2, 3, 1, 4, 4, 4, 1, 3, 2, 4, 1, 0, 0, 1, 3, 0, 0, 4, 2, 0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 4, 4, 1, 2, 2, 0, 4, 4, 1, 2, 3, 4, 4, 0, 1, 0, 2, 0, 3, 4, 4, 0, 1, 2, 2, 3, 4, 2, 2, 3, 2, 4, 1, 3, 4, 3, 0, 0, 2, 1, 2, 1, 3, 2, 4, 4, 2, 4, 0, 0, 3, 1, 1, 4, 3, 2, 4, 2, 0, 0, 2, 0, 4, 2, 4, 0, 3, 4, 1, 4, 2, 0, 2, 4, 0, 4, 1, 2, 3, 0, 0, 0, 2, 4, 2, 3, 0, 0, 3, 0, 1, 4, 2, 3, 4, 0, 0, 2, 1, 4, 3, 4, 4, 1, 0, 3, 4, 1, 4, 2, 4, 4, 4, 0, 3, 1, 4, 4, 0, 1, 0, 0, 1, 0, 0, 3, 0, 2, 1, 1, 1, 3, 0, 4, 2, 2, 2, 3, 2, 0, 2, 0, 0, 3, 4, 3, 0, 0, 3, 0, 3, 1, 4, 3, 1, 2, 3, 2, 1, 0, 0, 1, 2, 4, 0, 0, 2, 4, 0, 4, 4, 3, 2, 2, 1, 2, 3, 4, 4, 0, 1, 4, 2, 2, 0, 1, 4, 2, 1, 2, 3, 1, 0, 4, 0, 2, 3, 0, 0, 1, 2, 1, 2, 0, 1, 3, 4, 3, 0, 3, 0, 3, 1, 3, 3, 0, 3, 0, 2, 4, 3, 1, 1, 4, 3, 2, 2, 4, 2, 4, 3, 3, 1, 0, 0, 2, 4, 3, 1, 4, 2, 0, 2, 4, 0, 2, 4, 2, 4, 0, 3, 2, 2, 4, 3, 4, 1, 1, 0, 0, 3, 0, 0, 3, 1, 4, 3, 3, 0, 3, 2, 4, 2, 1, 1, 0, 0, 0, 3, 3, 0, 4, 1, 4, 1, 4, 2, 3, 3, 2, 3] pubkeycol1604 = [3, 2, 0, 2, 2, 3, 3, 4, 0, 4, 0, 0, 2, 0, 2, 4, 2, 3, 1, 4, 2, 3, 2, 3, 3, 2, 3, 1, 4, 3, 0, 2, 4, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 0, 1, 0, 0, 1, 1, 2, 1, 4, 0, 1, 0, 4, 0, 0, 3, 1, 2, 3, 2, 2, 3, 3, 4, 3, 3, 0, 4, 0, 1, 3, 0, 0, 0, 2, 4, 3, 4, 0, 1, 0, 0, 0, 1, 1, 0, 3, 1, 2, 3, 3, 4, 2, 1, 3, 0, 2, 3, 4, 2, 0, 1, 2, 4, 2, 2, 3, 4, 4, 0, 4, 4, 0, 2, 2, 4, 2, 0, 3, 2, 4, 1, 0, 2, 1, 2, 3, 2, 1, 2, 3, 0, 0, 1, 1, 3, 4, 0, 1, 4, 4, 2, 3, 1, 4, 3, 3, 2, 3, 4, 0, 1, 3, 3, 2, 0, 0, 0, 3, 2, 0, 2, 4, 2, 3, 3, 0, 2, 1, 1, 4, 0, 1, 2, 0, 1, 3, 2, 0, 4, 4, 2, 4, 4, 3, 0, 4, 2, 0, 0, 3, 2, 3, 2, 4, 2, 2, 1, 2, 1, 4, 4, 1, 2, 2, 2, 3, 4, 0, 2, 0, 2, 3, 0, 1, 4, 4, 4, 2, 1, 2, 0, 0, 1, 3, 0, 4, 0, 4, 1, 3, 0, 0, 3, 3, 3, 2, 2, 3, 4, 4, 1, 0, 3, 4, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 4, 4, 3, 1, 0, 2, 3, 3, 4, 3, 4, 0, 0, 3, 3, 3, 4, 2, 3, 0, 0, 4, 0, 2, 2, 3, 4, 3, 0, 0, 0, 0, 3, 2, 1, 1, 3, 4, 4, 2, 0, 4, 2, 0, 3, 2, 2, 4, 3, 1, 3, 4, 3, 1, 2, 2, 0, 4, 0, 3, 0, 3, 1, 4, 0, 3, 1, 0, 2, 1, 3, 1, 3, 0, 1, 0, 4, 4, 3, 3, 2, 2, 2, 1, 0, 1, 2, 4, 4, 0, 4, 2, 4, 1, 2, 4, 0, 2, 2, 4, 0, 4, 0, 3, 3, 2, 1, 3, 0, 3, 2, 2, 2, 0, 3, 2, 4, 3, 0, 1, 0, 2, 0, 3, 4, 1, 1, 0, 3, 3, 2, 3, 1, 4, 4, 0, 2, 1, 1] pubkeycol1605 = [3, 1, 0, 4, 0, 3, 2, 3, 4, 2, 2, 0, 1, 0, 1, 4, 1, 1, 0, 1, 3, 1, 4, 1, 1, 4, 0, 0, 0, 3, 0, 1, 4, 3, 4, 2, 1, 3, 4, 1, 1, 2, 0, 3, 1, 0, 1, 1, 4, 3, 2, 0, 4, 3, 0, 0, 0, 2, 2, 2, 1, 3, 4, 4, 3, 4, 4, 4, 4, 3, 0, 1, 1, 4, 3, 1, 3, 3, 3, 4, 3, 1, 4, 1, 4, 2, 2, 0, 1, 0, 0, 1, 1, 4, 4, 1, 4, 1, 3, 3, 3, 4, 2, 3, 3, 4, 0, 1, 0, 0, 0, 3, 3, 2, 1, 1, 3, 4, 0, 4, 3, 3, 3, 4, 1, 3, 2, 1, 2, 2, 4, 0, 4, 4, 1, 2, 0, 2, 0, 4, 4, 2, 1, 0, 0, 1, 4, 4, 3, 1, 3, 0, 4, 4, 3, 1, 2, 4, 1, 1, 4, 3, 4, 1, 1, 0, 3, 0, 0, 3, 2, 3, 3, 3, 4, 0, 1, 3, 0, 4, 1, 2, 0, 4, 4, 2, 1, 0, 0, 2, 3, 4, 1, 0, 1, 4, 1, 0, 2, 0, 1, 0, 4, 3, 0, 0, 4, 0, 2, 1, 4, 4, 2, 1, 2, 4, 1, 2, 1, 0, 1, 2, 4, 0, 3, 3, 3, 0, 0, 4, 3, 2, 0, 1, 1, 0, 4, 3, 4, 1, 4, 0, 4, 2, 1, 2, 2, 4, 0, 4, 3, 4, 1, 2, 3, 3, 4, 4, 0, 4, 4, 2, 3, 1, 0, 2, 4, 1, 4, 3, 0, 1, 4, 2, 2, 1, 2, 2, 0, 2, 3, 3, 3, 2, 2, 2, 1, 1, 4, 0, 1, 0, 2, 1, 0, 3, 3, 4, 4, 2, 3, 2, 0, 0, 2, 1, 4, 0, 0, 4, 3, 2, 0, 1, 0, 3, 0, 0, 0, 3, 2, 2, 1, 1, 0, 0, 1, 3, 1, 4, 1, 3, 0, 1, 4, 0, 0, 2, 2, 3, 0, 0, 0, 4, 2, 3, 4, 3, 0, 1, 4, 1, 4, 0, 0, 3, 3, 1, 0, 3, 2, 1, 4, 0, 3, 2, 3, 1, 2, 3, 0, 3, 1, 1, 4, 1, 3, 4, 3, 2, 1, 3, 3, 3, 3, 1, 2, 3, 4, 4, 2, 4, 3, 0, 0, 2, 4, 2, 0, 4] pubkeycol1606 = [1, 2, 4, 2, 1, 0, 0, 4, 1, 4, 4, 4, 2, 3, 2, 3, 3, 3, 4, 0, 2, 3, 2, 4, 1, 4, 3, 4, 3, 4, 1, 3, 2, 1, 0, 2, 0, 4, 3, 4, 0, 4, 3, 4, 3, 1, 2, 2, 2, 0, 1, 4, 1, 2, 2, 1, 0, 3, 1, 4, 2, 2, 2, 4, 4, 4, 4, 4, 2, 1, 4, 4, 1, 4, 1, 4, 2, 3, 0, 1, 4, 4, 0, 1, 2, 0, 4, 4, 1, 3, 0, 4, 1, 2, 4, 3, 0, 3, 4, 3, 4, 0, 1, 1, 1, 4, 4, 4, 0, 2, 4, 2, 3, 2, 4, 4, 3, 4, 2, 4, 2, 3, 3, 4, 1, 4, 2, 4, 3, 0, 4, 4, 1, 0, 3, 0, 4, 2, 2, 4, 0, 1, 4, 0, 2, 3, 2, 3, 1, 0, 0, 3, 2, 2, 3, 4, 3, 1, 2, 0, 4, 0, 4, 2, 4, 3, 1, 1, 2, 3, 4, 4, 3, 0, 1, 4, 0, 2, 1, 0, 1, 3, 2, 1, 0, 4, 0, 4, 2, 3, 1, 2, 0, 3, 3, 3, 4, 0, 1, 4, 4, 2, 1, 2, 4, 4, 1, 0, 2, 1, 1, 3, 4, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1, 0, 1, 0, 0, 0, 4, 1, 1, 4, 1, 3, 3, 3, 2, 2, 4, 2, 3, 2, 3, 2, 4, 4, 4, 2, 2, 1, 1, 2, 4, 1, 4, 4, 3, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 3, 3, 1, 0, 4, 4, 0, 4, 1, 4, 0, 2, 3, 1, 1, 0, 2, 1, 0, 1, 4, 3, 0, 2, 2, 0, 1, 0, 3, 1, 1, 1, 2, 3, 2, 0, 1, 3, 2, 1, 3, 4, 3, 0, 3, 1, 4, 1, 4, 4, 4, 2, 2, 2, 1, 3, 4, 1, 3, 3, 1, 3, 0, 4, 2, 0, 2, 4, 2, 2, 1, 0, 3, 0, 1, 1, 2, 2, 4, 2, 2, 0, 4, 2, 4, 4, 0, 4, 2, 1, 1, 4, 3, 3, 0, 0, 3, 4, 3, 0, 0, 3, 2, 1, 0, 2, 3, 0, 1, 4, 3, 0, 1, 1, 4, 1, 3, 4, 1, 2, 2, 1, 3, 0, 3, 1, 0, 0, 1, 3, 0, 2, 3] pubkeycol1607 = [2, 4, 0, 2, 4, 1, 0, 3, 3, 0, 1, 2, 4, 0, 4, 1, 2, 1, 1, 3, 0, 4, 0, 1, 1, 4, 2, 4, 0, 2, 1, 3, 0, 4, 4, 2, 0, 3, 4, 3, 3, 0, 4, 0, 4, 1, 4, 3, 4, 2, 3, 2, 4, 1, 4, 0, 4, 1, 3, 2, 0, 2, 1, 0, 1, 2, 2, 2, 3, 3, 0, 2, 4, 0, 1, 1, 0, 3, 3, 2, 4, 4, 4, 1, 2, 2, 2, 3, 3, 2, 2, 2, 4, 1, 4, 3, 3, 4, 3, 4, 0, 0, 4, 4, 4, 2, 0, 1, 0, 4, 2, 4, 1, 1, 0, 3, 3, 2, 4, 1, 4, 3, 3, 0, 2, 3, 4, 2, 1, 4, 4, 0, 0, 2, 4, 1, 1, 4, 0, 4, 0, 3, 4, 4, 1, 4, 4, 3, 1, 3, 4, 4, 1, 4, 2, 2, 4, 3, 4, 2, 2, 1, 3, 1, 0, 4, 3, 0, 3, 1, 4, 2, 3, 0, 0, 4, 2, 0, 0, 3, 0, 0, 2, 1, 4, 4, 0, 0, 3, 1, 4, 1, 0, 4, 3, 0, 0, 2, 1, 1, 4, 4, 4, 0, 3, 1, 1, 2, 2, 4, 3, 1, 0, 2, 3, 2, 3, 2, 1, 0, 4, 4, 1, 4, 0, 2, 1, 2, 3, 3, 0, 2, 1, 2, 1, 3, 2, 2, 3, 2, 1, 2, 0, 4, 2, 4, 2, 1, 4, 3, 2, 1, 3, 1, 4, 3, 2, 0, 2, 4, 4, 1, 4, 3, 0, 3, 1, 4, 0, 0, 1, 4, 3, 3, 0, 2, 3, 1, 2, 0, 4, 1, 0, 1, 1, 4, 2, 3, 1, 0, 0, 2, 4, 3, 3, 3, 0, 3, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 3, 2, 3, 0, 1, 4, 4, 4, 3, 0, 2, 2, 2, 4, 2, 3, 3, 2, 0, 2, 2, 0, 0, 3, 1, 2, 1, 3, 1, 4, 0, 4, 1, 0, 2, 0, 2, 4, 2, 4, 1, 3, 3, 1, 4, 1, 2, 4, 4, 3, 2, 4, 0, 2, 4, 3, 1, 2, 0, 2, 3, 0, 2, 0, 4, 0, 1, 0, 0, 3, 1, 3, 4, 4, 0, 4, 2, 1, 4, 4, 0, 0, 4, 1, 4, 4, 3, 0, 1, 4, 1, 2] pubkeycol1608 = [4, 4, 0, 0, 1, 2, 2, 4, 3, 1, 1, 3, 4, 2, 0, 3, 3, 1, 0, 4, 4, 1, 0, 0, 0, 4, 3, 0, 2, 0, 4, 0, 4, 3, 4, 1, 4, 1, 0, 1, 3, 0, 2, 2, 2, 2, 4, 1, 4, 2, 2, 4, 4, 2, 2, 4, 0, 0, 2, 0, 3, 2, 1, 4, 0, 0, 2, 1, 4, 3, 0, 0, 0, 4, 3, 4, 4, 0, 1, 3, 2, 4, 2, 2, 4, 1, 2, 3, 3, 3, 1, 2, 3, 4, 1, 1, 4, 0, 4, 1, 3, 4, 3, 2, 2, 0, 2, 1, 2, 1, 3, 4, 1, 4, 0, 4, 1, 4, 1, 0, 0, 4, 4, 4, 0, 4, 2, 2, 1, 0, 3, 4, 2, 0, 2, 3, 4, 3, 1, 3, 3, 0, 1, 4, 4, 4, 1, 1, 0, 0, 2, 0, 0, 4, 4, 0, 1, 0, 0, 2, 1, 3, 2, 4, 0, 0, 1, 2, 4, 4, 0, 4, 1, 4, 2, 1, 0, 3, 2, 0, 2, 0, 2, 4, 1, 0, 4, 2, 0, 0, 0, 2, 4, 1, 1, 4, 0, 3, 1, 4, 1, 0, 2, 1, 2, 0, 3, 0, 4, 1, 3, 3, 3, 2, 2, 3, 1, 1, 3, 0, 0, 3, 3, 0, 4, 1, 4, 3, 0, 3, 3, 0, 2, 2, 0, 4, 0, 3, 4, 2, 2, 4, 2, 4, 1, 1, 1, 1, 4, 4, 2, 4, 0, 4, 1, 4, 0, 4, 2, 0, 1, 4, 4, 3, 0, 0, 1, 3, 2, 0, 2, 4, 2, 0, 3, 3, 4, 1, 0, 4, 4, 0, 2, 2, 3, 2, 0, 3, 2, 4, 0, 2, 2, 2, 3, 1, 3, 4, 0, 4, 3, 2, 2, 0, 2, 0, 0, 0, 2, 1, 4, 2, 4, 3, 0, 3, 3, 1, 4, 0, 4, 0, 4, 3, 1, 1, 2, 4, 2, 3, 0, 4, 1, 1, 0, 0, 0, 4, 1, 4, 1, 2, 2, 0, 1, 2, 1, 4, 4, 2, 2, 3, 1, 2, 2, 4, 0, 3, 1, 4, 3, 2, 3, 3, 3, 3, 1, 0, 0, 0, 1, 2, 1, 3, 3, 3, 0, 1, 0, 0, 4, 2, 1, 2, 4, 0, 3, 2, 4, 3, 1, 3, 0, 4, 4, 4, 1, 3, 1, 4] pubkeycol1609 = [0, 0, 0, 0, 4, 4, 0, 3, 1, 3, 0, 0, 1, 2, 3, 4, 3, 1, 1, 0, 4, 3, 3, 2, 2, 1, 4, 4, 0, 3, 2, 0, 1, 0, 3, 3, 0, 0, 0, 1, 2, 2, 1, 3, 1, 1, 1, 0, 2, 1, 3, 1, 4, 2, 2, 4, 2, 2, 4, 3, 2, 1, 3, 4, 0, 0, 3, 2, 4, 4, 2, 1, 3, 4, 1, 0, 4, 3, 2, 4, 4, 3, 0, 1, 2, 1, 3, 4, 0, 4, 1, 2, 2, 2, 2, 1, 3, 1, 0, 1, 0, 3, 2, 4, 1, 1, 0, 3, 2, 1, 2, 1, 3, 4, 2, 4, 1, 1, 1, 3, 1, 2, 3, 3, 0, 4, 1, 4, 0, 3, 2, 4, 2, 0, 3, 2, 3, 1, 2, 0, 1, 3, 4, 2, 2, 2, 3, 1, 2, 4, 3, 3, 4, 2, 3, 2, 3, 1, 4, 1, 0, 1, 0, 1, 4, 1, 2, 3, 0, 1, 0, 4, 2, 1, 4, 1, 4, 4, 2, 1, 3, 3, 0, 1, 1, 1, 0, 0, 2, 2, 4, 4, 4, 1, 3, 1, 1, 1, 0, 2, 3, 0, 3, 3, 0, 2, 0, 0, 4, 3, 2, 3, 2, 2, 1, 3, 0, 4, 0, 3, 0, 0, 4, 3, 3, 4, 2, 2, 1, 4, 3, 3, 2, 4, 4, 0, 3, 0, 4, 1, 2, 4, 1, 3, 1, 0, 3, 1, 0, 1, 1, 0, 2, 1, 1, 4, 1, 1, 3, 0, 1, 4, 2, 3, 0, 1, 4, 0, 4, 2, 0, 1, 3, 1, 3, 4, 0, 3, 3, 1, 1, 0, 3, 4, 1, 0, 3, 2, 0, 1, 3, 3, 4, 3, 1, 1, 2, 1, 2, 0, 2, 4, 3, 4, 4, 0, 4, 0, 4, 1, 3, 2, 2, 4, 1, 2, 2, 3, 2, 4, 2, 3, 4, 3, 2, 1, 1, 3, 4, 0, 3, 3, 2, 2, 3, 0, 2, 1, 4, 0, 3, 4, 1, 1, 0, 1, 3, 0, 0, 3, 3, 1, 1, 4, 1, 3, 4, 0, 0, 0, 3, 4, 4, 2, 1, 1, 0, 4, 4, 1, 2, 3, 2, 2, 3, 3, 2, 0, 1, 4, 0, 1, 4, 3, 1, 4, 0, 1, 3, 0, 2, 4, 3, 4, 3, 3, 2, 2, 1, 0] pubkeycol1610 = [1, 2, 3, 0, 4, 0, 1, 2, 0, 4, 4, 2, 2, 2, 4, 3, 1, 1, 2, 0, 1, 1, 3, 0, 4, 0, 3, 4, 3, 0, 0, 2, 4, 3, 1, 3, 1, 1, 1, 2, 4, 2, 2, 0, 2, 0, 0, 2, 0, 3, 2, 1, 0, 0, 4, 1, 2, 2, 0, 4, 3, 3, 1, 3, 2, 3, 1, 1, 3, 0, 4, 0, 4, 4, 0, 2, 2, 1, 4, 2, 2, 3, 1, 4, 0, 2, 2, 3, 3, 2, 2, 4, 1, 4, 2, 1, 1, 4, 2, 3, 1, 0, 1, 3, 4, 3, 1, 2, 2, 1, 4, 2, 2, 4, 3, 4, 4, 1, 2, 3, 4, 0, 4, 3, 0, 3, 4, 0, 4, 1, 3, 2, 2, 4, 1, 1, 3, 0, 0, 3, 1, 2, 2, 4, 1, 1, 1, 1, 3, 3, 4, 3, 3, 2, 2, 2, 3, 1, 0, 1, 1, 1, 4, 3, 0, 4, 3, 2, 3, 2, 0, 4, 3, 4, 4, 4, 2, 3, 2, 0, 3, 2, 1, 1, 1, 4, 3, 0, 1, 2, 3, 3, 4, 1, 0, 0, 3, 3, 4, 4, 2, 2, 3, 2, 4, 0, 0, 0, 4, 4, 2, 4, 3, 2, 4, 4, 0, 1, 0, 2, 1, 2, 4, 1, 2, 4, 3, 2, 3, 0, 1, 4, 3, 1, 2, 4, 0, 1, 0, 0, 4, 2, 2, 4, 0, 4, 1, 0, 1, 1, 2, 0, 3, 1, 1, 1, 3, 0, 0, 2, 3, 1, 0, 0, 0, 0, 2, 0, 4, 4, 2, 4, 3, 2, 2, 4, 2, 0, 0, 4, 2, 4, 4, 1, 1, 4, 3, 1, 4, 0, 0, 4, 0, 2, 3, 1, 3, 4, 0, 1, 3, 3, 3, 0, 2, 1, 1, 3, 1, 1, 2, 4, 0, 4, 3, 3, 1, 4, 2, 1, 1, 3, 2, 0, 3, 2, 2, 1, 0, 4, 3, 4, 0, 2, 0, 0, 2, 3, 1, 1, 1, 3, 1, 2, 3, 2, 3, 4, 3, 0, 3, 0, 0, 0, 0, 1, 3, 2, 4, 4, 2, 4, 1, 2, 1, 4, 2, 3, 2, 1, 1, 2, 3, 3, 2, 4, 0, 4, 0, 1, 1, 3, 0, 4, 3, 1, 3, 2, 0, 1, 0, 1, 4, 4, 2, 3, 0, 3, 0, 2] pubkeycol1611 = [2, 1, 1, 0, 1, 1, 4, 3, 1, 0, 4, 4, 2, 1, 4, 1, 3, 3, 4, 2, 3, 1, 3, 0, 2, 3, 3, 1, 2, 4, 0, 0, 1, 3, 3, 3, 3, 2, 1, 1, 1, 0, 0, 0, 2, 2, 4, 3, 1, 0, 3, 4, 3, 4, 1, 3, 3, 1, 2, 3, 2, 3, 0, 2, 3, 1, 3, 3, 3, 1, 2, 0, 2, 2, 1, 1, 2, 4, 1, 3, 0, 4, 2, 3, 3, 0, 2, 3, 2, 4, 2, 0, 1, 1, 3, 0, 1, 4, 3, 4, 3, 3, 1, 2, 4, 3, 4, 0, 4, 0, 4, 3, 4, 1, 2, 3, 2, 0, 3, 4, 0, 3, 2, 0, 1, 2, 3, 1, 4, 2, 0, 2, 4, 3, 4, 0, 1, 3, 0, 4, 4, 1, 2, 1, 4, 0, 1, 1, 3, 3, 4, 1, 3, 2, 0, 4, 1, 1, 4, 2, 3, 0, 2, 4, 0, 3, 4, 0, 0, 1, 1, 1, 1, 4, 0, 1, 2, 1, 3, 0, 3, 2, 2, 2, 0, 2, 3, 0, 1, 2, 4, 0, 3, 3, 3, 3, 4, 3, 4, 2, 4, 1, 2, 0, 2, 2, 0, 1, 4, 1, 1, 3, 0, 4, 4, 1, 4, 3, 4, 1, 4, 1, 3, 1, 2, 2, 1, 0, 4, 3, 1, 4, 4, 4, 4, 1, 0, 0, 1, 4, 4, 4, 2, 2, 1, 4, 0, 1, 0, 1, 1, 0, 4, 4, 2, 3, 4, 2, 1, 3, 3, 2, 4, 3, 3, 2, 0, 2, 2, 4, 1, 0, 0, 2, 1, 0, 1, 1, 3, 1, 1, 1, 4, 2, 2, 0, 4, 3, 1, 2, 3, 3, 4, 4, 2, 1, 4, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 4, 2, 2, 1, 0, 0, 2, 4, 1, 2, 4, 2, 3, 2, 1, 1, 3, 2, 4, 0, 3, 1, 4, 4, 3, 0, 2, 2, 0, 2, 3, 2, 1, 3, 4, 0, 0, 4, 3, 2, 3, 0, 4, 0, 2, 4, 3, 2, 1, 3, 4, 1, 0, 0, 4, 1, 3, 4, 4, 3, 2, 2, 2, 1, 1, 3, 1, 3, 2, 1, 2, 1, 0, 4, 3, 4, 2, 3, 1, 3, 0, 0, 3, 0, 0, 4, 4, 1, 0, 1, 0, 4, 4] pubkeycol1612 = [0, 3, 0, 3, 2, 3, 2, 4, 1, 4, 4, 0, 2, 2, 0, 4, 0, 3, 3, 1, 0, 4, 4, 2, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 4, 3, 2, 3, 0, 1, 3, 1, 1, 0, 3, 3, 2, 2, 4, 2, 4, 4, 3, 2, 4, 4, 0, 4, 2, 3, 2, 3, 4, 1, 4, 1, 4, 4, 1, 2, 3, 1, 2, 1, 3, 1, 3, 0, 3, 0, 3, 4, 2, 2, 1, 2, 1, 3, 4, 2, 4, 2, 4, 2, 2, 3, 2, 0, 4, 4, 3, 2, 3, 4, 2, 4, 3, 2, 1, 4, 1, 2, 1, 2, 3, 1, 4, 3, 2, 3, 0, 0, 4, 0, 4, 0, 2, 4, 4, 3, 0, 2, 0, 3, 2, 1, 4, 0, 3, 4, 2, 0, 4, 3, 0, 1, 2, 2, 4, 3, 2, 2, 1, 0, 3, 3, 3, 0, 0, 4, 1, 1, 1, 4, 4, 4, 3, 3, 0, 2, 3, 0, 2, 0, 0, 2, 0, 3, 1, 0, 4, 0, 0, 3, 4, 3, 2, 4, 0, 0, 3, 1, 4, 4, 3, 0, 4, 4, 2, 0, 1, 0, 2, 1, 4, 2, 2, 1, 2, 1, 1, 4, 4, 4, 4, 1, 2, 4, 0, 4, 1, 0, 3, 1, 1, 2, 0, 4, 3, 4, 2, 0, 0, 3, 1, 1, 2, 1, 1, 1, 4, 1, 3, 2, 1, 2, 2, 3, 2, 3, 2, 4, 2, 2, 2, 1, 4, 1, 3, 2, 2, 1, 1, 3, 4, 0, 3, 2, 2, 1, 3, 0, 1, 0, 2, 1, 4, 1, 2, 0, 3, 0, 2, 1, 4, 0, 2, 4, 1, 2, 4, 4, 4, 0, 3, 1, 0, 3, 4, 4, 0, 4, 0, 3, 4, 4, 1, 1, 4, 4, 0, 2, 2, 4, 2, 0, 4, 2, 2, 1, 3, 3, 4, 3, 4, 1, 1, 4, 4, 2, 0, 2, 4, 4, 0, 1, 3, 4, 3, 4, 0, 1, 4, 0, 2, 1, 3, 2, 3, 3, 4, 2, 3, 4, 2, 4, 1, 4, 4, 0, 1, 1, 2, 0, 1, 4, 3, 0, 4, 1, 2, 3, 0, 1, 1, 4, 1, 0, 1, 4, 3, 4, 3, 4, 2, 3, 1, 3, 4, 1, 2, 3, 4, 2, 1, 2, 1, 4, 3] pubkeycol1613 = [1, 3, 1, 1, 4, 2, 2, 2, 0, 4, 1, 2, 1, 4, 3, 2, 1, 4, 2, 2, 4, 4, 4, 0, 0, 1, 3, 2, 0, 1, 4, 4, 2, 0, 1, 3, 3, 3, 2, 4, 3, 1, 3, 2, 2, 2, 1, 4, 0, 2, 1, 3, 4, 4, 0, 4, 1, 3, 4, 4, 2, 1, 0, 0, 1, 3, 2, 3, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 0, 1, 1, 0, 3, 4, 2, 2, 4, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 2, 4, 1, 3, 2, 3, 0, 2, 0, 4, 4, 4, 3, 2, 0, 0, 3, 4, 0, 0, 2, 4, 4, 2, 3, 3, 0, 0, 3, 4, 0, 1, 2, 4, 4, 4, 0, 0, 3, 1, 1, 0, 4, 4, 2, 1, 3, 1, 2, 2, 4, 3, 3, 3, 4, 4, 0, 2, 2, 4, 3, 2, 1, 3, 2, 1, 2, 1, 0, 3, 2, 0, 3, 2, 0, 1, 4, 1, 2, 4, 1, 1, 0, 2, 3, 1, 3, 3, 0, 2, 2, 1, 2, 4, 3, 1, 4, 4, 2, 0, 4, 4, 3, 4, 1, 3, 1, 3, 1, 1, 3, 2, 1, 3, 4, 4, 4, 3, 4, 2, 3, 1, 0, 1, 0, 1, 0, 1, 1, 4, 1, 2, 1, 2, 1, 0, 1, 0, 2, 3, 4, 2, 0, 0, 3, 0, 1, 4, 0, 3, 2, 1, 1, 1, 3, 3, 2, 1, 2, 4, 4, 4, 2, 1, 1, 3, 0, 0, 2, 3, 4, 1, 1, 0, 2, 1, 1, 0, 0, 3, 2, 3, 3, 3, 0, 1, 3, 2, 1, 3, 0, 1, 0, 3, 1, 2, 4, 3, 2, 3, 4, 0, 1, 0, 4, 1, 1, 0, 0, 1, 1, 0, 1, 4, 4, 4, 0, 4, 4, 1, 4, 2, 3, 1, 1, 1, 3, 2, 1, 2, 0, 0, 4, 1, 2, 1, 1, 3, 2, 1, 0, 3, 4, 4, 3, 0, 1, 4, 2, 1, 0, 2, 3, 0, 0, 3, 0, 4, 3, 1, 4, 0, 2, 0, 1, 1, 4, 3, 4, 2, 0, 4, 2, 0, 1, 0, 4, 0, 1, 4, 4, 3, 1, 1, 4, 0, 2, 4, 1, 2, 1, 2, 1, 4, 1, 2, 4, 2] pubkeycol1614 = [2, 4, 3, 2, 2, 1, 1, 0, 4, 3, 1, 1, 2, 1, 1, 3, 2, 3, 1, 2, 2, 3, 3, 2, 3, 2, 4, 3, 3, 4, 0, 2, 0, 0, 1, 2, 0, 0, 1, 4, 3, 0, 3, 1, 3, 3, 3, 4, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 4, 3, 4, 1, 3, 2, 1, 3, 4, 2, 0, 2, 1, 1, 4, 0, 1, 2, 2, 3, 4, 0, 0, 1, 0, 0, 0, 1, 1, 3, 3, 2, 0, 2, 2, 2, 4, 1, 1, 4, 0, 0, 4, 2, 1, 0, 1, 0, 3, 4, 0, 0, 1, 1, 4, 2, 3, 2, 2, 4, 3, 0, 3, 1, 1, 2, 4, 1, 4, 0, 0, 4, 4, 3, 4, 1, 3, 2, 3, 0, 2, 1, 1, 0, 2, 4, 4, 4, 1, 2, 3, 1, 2, 2, 2, 3, 0, 3, 4, 2, 4, 3, 1, 3, 0, 0, 3, 4, 0, 1, 2, 1, 2, 3, 4, 1, 1, 4, 1, 1, 4, 1, 4, 2, 2, 0, 0, 3, 3, 1, 2, 2, 3, 1, 0, 1, 2, 3, 1, 4, 3, 2, 4, 1, 3, 2, 4, 3, 2, 0, 1, 1, 4, 1, 4, 0, 0, 0, 2, 1, 4, 4, 3, 2, 4, 1, 1, 2, 1, 0, 0, 0, 4, 2, 4, 2, 3, 2, 1, 3, 0, 1, 4, 0, 0, 3, 3, 2, 4, 2, 3, 3, 4, 0, 0, 3, 1, 4, 1, 4, 4, 0, 2, 4, 1, 4, 3, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 4, 0, 0, 1, 2, 1, 1, 1, 2, 1, 3, 4, 0, 1, 1, 3, 0, 2, 2, 2, 2, 3, 4, 1, 2, 0, 0, 2, 3, 0, 0, 0, 4, 3, 3, 4, 4, 3, 1, 4, 3, 3, 0, 2, 2, 2, 2, 2, 0, 1, 2, 3, 1, 3, 0, 2, 2, 3, 0, 2, 0, 1, 0, 0, 1, 3, 4, 1, 0, 0, 4, 4, 1, 4, 0, 4, 3, 2, 4, 4, 0, 4, 2, 4, 4, 4, 1, 0, 1, 0, 2, 1, 4, 3, 4, 1, 4, 1, 4, 0, 2, 1, 1, 0, 0, 0, 1, 4, 3, 0, 4, 4, 2, 0, 1, 0, 1, 1, 3, 1, 4, 2] pubkeycol1615 = [1, 3, 3, 1, 2, 4, 3, 4, 3, 2, 1, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 4, 0, 2, 1, 1, 1, 4, 1, 1, 3, 2, 1, 3, 0, 4, 2, 1, 4, 0, 4, 0, 2, 0, 4, 2, 0, 0, 2, 4, 0, 3, 1, 0, 0, 4, 1, 0, 4, 1, 2, 2, 3, 2, 4, 4, 1, 2, 2, 0, 2, 1, 0, 1, 4, 3, 3, 4, 4, 1, 1, 2, 3, 3, 4, 4, 4, 2, 1, 2, 1, 1, 2, 2, 3, 4, 0, 3, 1, 4, 1, 1, 1, 2, 1, 0, 3, 3, 4, 2, 3, 2, 4, 2, 0, 3, 0, 0, 2, 3, 4, 1, 2, 4, 0, 3, 3, 2, 4, 2, 3, 4, 1, 2, 1, 0, 4, 4, 4, 3, 0, 3, 3, 2, 0, 0, 4, 3, 0, 3, 0, 0, 3, 2, 2, 2, 3, 1, 2, 1, 4, 2, 1, 2, 2, 3, 0, 4, 2, 4, 2, 4, 2, 3, 4, 3, 0, 4, 1, 0, 1, 4, 4, 4, 2, 3, 3, 1, 1, 2, 1, 3, 0, 1, 0, 0, 1, 4, 3, 1, 2, 0, 3, 2, 4, 2, 0, 1, 4, 1, 2, 2, 2, 1, 0, 2, 4, 1, 0, 4, 3, 0, 2, 1, 4, 1, 1, 0, 2, 3, 3, 2, 3, 1, 1, 1, 3, 4, 2, 3, 4, 2, 3, 2, 1, 1, 4, 3, 4, 1, 4, 0, 3, 1, 4, 1, 1, 0, 1, 1, 1, 4, 1, 2, 3, 0, 0, 0, 3, 3, 3, 1, 2, 0, 3, 1, 1, 3, 3, 0, 1, 3, 1, 3, 3, 1, 0, 1, 3, 0, 1, 1, 0, 1, 1, 4, 4, 4, 0, 1, 2, 4, 1, 1, 1, 4, 4, 4, 3, 4, 3, 2, 3, 2, 2, 1, 4, 0, 1, 4, 3, 2, 2, 3, 1, 3, 1, 4, 2, 2, 2, 1, 3, 3, 0, 1, 1, 4, 2, 1, 3, 2, 3, 2, 3, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 1, 3, 0, 1, 4, 1, 1, 1, 0, 2, 2, 3, 4, 0, 2, 3, 0, 0, 2, 0, 4, 2, 4, 2, 4, 3, 1, 1, 0, 3, 4, 2, 1, 2, 0, 1, 4, 4, 0, 3, 4, 0, 1] pubkeycol1616 = [0, 4, 1, 4, 2, 4, 3, 4, 1, 1, 3, 3, 2, 2, 3, 3, 0, 2, 0, 1, 0, 3, 2, 0, 2, 2, 1, 4, 0, 2, 3, 1, 3, 4, 0, 3, 4, 4, 1, 1, 1, 2, 4, 4, 1, 0, 0, 4, 4, 2, 4, 4, 1, 0, 4, 1, 1, 1, 0, 4, 4, 3, 0, 1, 4, 1, 3, 2, 4, 1, 2, 1, 2, 0, 4, 3, 0, 1, 3, 0, 0, 0, 0, 0, 2, 1, 4, 1, 0, 3, 0, 0, 4, 0, 1, 2, 3, 4, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 3, 4, 3, 0, 2, 1, 2, 4, 4, 3, 1, 3, 0, 3, 2, 2, 1, 1, 1, 4, 2, 3, 1, 4, 3, 4, 3, 1, 4, 3, 4, 3, 2, 2, 2, 2, 3, 2, 4, 2, 2, 1, 3, 4, 3, 0, 2, 4, 1, 0, 0, 4, 0, 1, 1, 2, 4, 4, 1, 2, 3, 1, 3, 0, 0, 3, 3, 4, 0, 1, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 0, 2, 2, 2, 2, 1, 3, 3, 3, 0, 2, 4, 4, 3, 4, 0, 3, 3, 4, 0, 1, 1, 2, 3, 4, 2, 0, 3, 4, 3, 1, 2, 1, 0, 3, 4, 1, 3, 1, 4, 3, 3, 4, 1, 0, 0, 0, 4, 0, 4, 2, 1, 0, 4, 1, 2, 1, 1, 1, 1, 4, 3, 1, 2, 4, 3, 3, 2, 2, 2, 4, 3, 0, 4, 1, 3, 2, 3, 1, 0, 2, 1, 4, 4, 4, 3, 4, 0, 0, 2, 1, 0, 0, 3, 2, 0, 2, 1, 1, 3, 0, 3, 2, 1, 3, 0, 1, 1, 4, 3, 2, 0, 1, 2, 4, 1, 3, 4, 2, 3, 0, 3, 3, 3, 2, 0, 3, 1, 4, 2, 0, 3, 3, 1, 2, 3, 0, 1, 1, 1, 1, 0, 2, 0, 0, 4, 0, 4, 4, 3, 1, 3, 2, 4, 4, 0, 3, 4, 0, 3, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 4, 1, 2, 3, 3, 4, 3, 2, 1, 0, 0, 4, 3, 2, 3, 0, 1, 4, 0, 4, 2, 4, 0, 2, 0, 4, 4, 2, 4, 1, 2, 3, 1, 2, 0, 3, 3, 2, 2, 4] pubkeycol1617 = [2, 3, 3, 0, 3, 1, 1, 2, 4, 1, 1, 1, 0, 1, 3, 3, 4, 1, 1, 3, 4, 2, 0, 4, 1, 2, 2, 3, 1, 4, 3, 2, 1, 2, 4, 0, 1, 4, 3, 1, 3, 1, 3, 4, 4, 2, 0, 1, 4, 0, 4, 2, 0, 1, 0, 4, 4, 1, 4, 4, 0, 3, 1, 0, 2, 2, 2, 1, 1, 3, 3, 4, 3, 4, 0, 3, 0, 2, 1, 3, 3, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 4, 1, 4, 0, 4, 1, 1, 1, 2, 4, 4, 2, 2, 4, 0, 0, 3, 3, 2, 3, 2, 2, 4, 1, 1, 0, 4, 4, 2, 3, 2, 3, 2, 2, 4, 4, 1, 0, 2, 3, 0, 4, 2, 4, 0, 3, 4, 4, 0, 4, 1, 3, 4, 1, 3, 3, 3, 4, 1, 2, 4, 3, 4, 4, 0, 0, 0, 2, 3, 3, 0, 4, 4, 1, 0, 1, 3, 4, 0, 2, 4, 0, 2, 4, 4, 0, 2, 1, 2, 3, 0, 4, 3, 3, 2, 2, 0, 0, 1, 3, 3, 3, 1, 0, 4, 1, 0, 3, 2, 4, 4, 2, 1, 2, 4, 1, 0, 3, 3, 3, 3, 3, 1, 4, 1, 2, 4, 0, 1, 1, 0, 0, 0, 4, 4, 3, 0, 1, 4, 1, 0, 2, 0, 3, 3, 3, 3, 2, 0, 4, 4, 3, 2, 2, 3, 3, 4, 0, 4, 2, 1, 3, 4, 3, 3, 0, 0, 1, 3, 2, 4, 4, 4, 0, 2, 3, 3, 1, 0, 3, 2, 3, 4, 1, 2, 4, 0, 4, 1, 0, 3, 3, 3, 1, 0, 2, 3, 4, 3, 0, 4, 4, 3, 3, 2, 4, 4, 2, 0, 3, 3, 4, 1, 2, 1, 2, 3, 4, 0, 2, 3, 4, 2, 1, 3, 2, 3, 0, 2, 4, 0, 1, 1, 3, 2, 2, 2, 0, 4, 1, 2, 0, 4, 1, 3, 1, 2, 4, 4, 3, 3, 4, 1, 0, 0, 3, 0, 0, 2, 4, 1, 3, 4, 0, 2, 0, 2, 1, 0, 0, 1, 3, 0, 1, 4, 4, 3, 1, 2, 3, 0, 4, 2, 0, 0, 0, 1, 1, 3, 2, 4, 0, 3, 4, 3, 3, 2, 0, 1, 3, 0, 4, 1, 2, 3, 3, 3, 0, 4] pubkeycol1618 = [2, 2, 0, 3, 3, 1, 3, 3, 0, 1, 3, 3, 4, 2, 2, 1, 2, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 3, 2, 0, 1, 3, 2, 3, 3, 1, 3, 1, 2, 1, 0, 2, 3, 4, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 4, 3, 4, 1, 2, 1, 4, 3, 0, 1, 4, 2, 1, 4, 1, 0, 1, 0, 3, 1, 3, 0, 1, 3, 2, 0, 1, 1, 2, 4, 1, 1, 4, 1, 0, 1, 2, 2, 2, 3, 1, 0, 3, 3, 4, 2, 1, 0, 3, 0, 3, 2, 1, 0, 0, 4, 4, 1, 2, 3, 0, 2, 1, 2, 4, 1, 4, 4, 1, 1, 3, 4, 2, 2, 4, 2, 0, 0, 2, 4, 4, 2, 2, 0, 3, 3, 2, 2, 1, 2, 2, 0, 3, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 4, 2, 2, 2, 1, 0, 1, 2, 0, 3, 3, 4, 0, 3, 1, 1, 0, 0, 1, 4, 0, 0, 3, 3, 1, 0, 0, 0, 1, 2, 0, 3, 4, 1, 0, 3, 3, 4, 1, 3, 0, 2, 4, 1, 2, 1, 3, 3, 1, 2, 0, 2, 0, 2, 4, 2, 0, 0, 0, 0, 4, 1, 2, 2, 1, 4, 2, 0, 1, 3, 1, 2, 0, 3, 4, 2, 1, 0, 4, 4, 3, 0, 1, 4, 3, 0, 2, 3, 3, 4, 0, 2, 2, 2, 3, 3, 3, 1, 1, 3, 0, 4, 1, 3, 1, 1, 0, 2, 4, 3, 4, 1, 0, 1, 1, 4, 3, 2, 1, 0, 4, 1, 3, 1, 3, 4, 2, 1, 3, 3, 4, 4, 3, 0, 3, 1, 0, 0, 4, 3, 3, 3, 0, 2, 0, 4, 3, 1, 4, 2, 1, 1, 0, 2, 0, 4, 2, 3, 0, 2, 1, 2, 4, 4, 4, 3, 3, 0, 4, 3, 0, 2, 3, 1, 2, 4, 0, 2, 2, 3, 2, 2, 4, 2, 1, 2, 1, 0, 3, 2, 1, 4, 3, 3, 1, 3, 3, 0, 2, 0, 3, 0, 2, 0, 3, 2, 4, 4, 1, 2, 1, 2, 1, 0, 3, 2, 4, 4, 3, 4, 4, 0, 2, 3, 0, 3, 3, 3, 3, 4, 4, 3, 2, 2, 0, 2, 0, 4, 3, 2, 2, 3] pubkeycol1619 = [4, 3, 3, 3, 1, 0, 0, 1, 1, 1, 0, 1, 3, 0, 4, 1, 2, 4, 3, 2, 4, 1, 2, 1, 2, 0, 2, 3, 4, 0, 3, 4, 1, 4, 0, 3, 0, 0, 2, 2, 0, 1, 4, 3, 3, 4, 3, 3, 2, 3, 0, 2, 2, 4, 4, 1, 1, 3, 2, 3, 0, 3, 1, 1, 3, 4, 4, 4, 4, 1, 0, 3, 0, 1, 3, 4, 2, 1, 3, 4, 2, 3, 0, 1, 2, 2, 3, 4, 1, 3, 0, 2, 0, 1, 2, 4, 4, 0, 2, 4, 4, 4, 0, 1, 0, 3, 1, 2, 1, 4, 4, 4, 0, 3, 1, 3, 3, 1, 0, 1, 0, 0, 1, 1, 1, 4, 0, 0, 4, 1, 3, 0, 4, 3, 4, 3, 2, 2, 3, 3, 1, 3, 2, 2, 0, 3, 0, 1, 3, 3, 1, 4, 2, 1, 0, 1, 2, 0, 2, 1, 4, 1, 4, 1, 3, 0, 2, 3, 4, 0, 3, 4, 2, 0, 2, 3, 2, 3, 1, 4, 1, 2, 3, 4, 1, 4, 1, 1, 3, 2, 0, 3, 2, 2, 2, 1, 2, 0, 2, 0, 1, 4, 3, 4, 0, 2, 2, 2, 3, 0, 0, 2, 1, 2, 4, 2, 4, 0, 4, 3, 1, 3, 0, 4, 0, 0, 0, 1, 4, 3, 1, 1, 1, 2, 1, 2, 2, 0, 3, 1, 0, 2, 4, 4, 3, 0, 4, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 1, 0, 4, 3, 2, 3, 3, 3, 1, 3, 0, 1, 0, 1, 0, 4, 4, 4, 4, 4, 3, 2, 0, 2, 1, 2, 1, 1, 4, 1, 0, 4, 0, 2, 0, 0, 1, 3, 1, 3, 4, 0, 3, 4, 4, 3, 2, 2, 4, 4, 2, 3, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 4, 3, 3, 3, 0, 0, 3, 0, 3, 4, 0, 0, 1, 2, 1, 0, 4, 1, 4, 2, 0, 2, 0, 0, 4, 1, 1, 0, 0, 1, 3, 2, 3, 1, 3, 0, 0, 1, 2, 1, 2, 1, 1, 3, 3, 3, 1, 1, 4, 3, 0, 1, 0, 0, 2, 4, 1, 3, 2, 2, 1, 2, 3, 4, 2, 1, 3, 3, 3, 0, 0, 3, 0, 1, 4, 2, 3, 3, 2] pubkeycol1620 = [0, 2, 4, 1, 3, 1, 4, 2, 4, 3, 0, 2, 0, 4, 3, 3, 3, 0, 3, 2, 1, 4, 4, 4, 0, 3, 0, 0, 4, 0, 4, 4, 4, 4, 0, 3, 4, 0, 0, 3, 4, 1, 4, 1, 0, 4, 4, 0, 1, 0, 2, 0, 2, 4, 3, 3, 0, 4, 3, 4, 3, 4, 0, 1, 2, 3, 3, 2, 3, 1, 3, 2, 0, 4, 4, 2, 1, 3, 1, 4, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4, 2, 1, 3, 0, 4, 1, 3, 2, 1, 3, 3, 1, 4, 3, 1, 3, 3, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 3, 1, 4, 3, 2, 3, 1, 4, 1, 2, 1, 1, 0, 4, 1, 4, 2, 3, 0, 1, 0, 1, 0, 0, 0, 2, 3, 2, 3, 4, 3, 0, 4, 2, 3, 1, 1, 2, 3, 0, 3, 4, 0, 0, 2, 1, 4, 0, 2, 3, 4, 1, 3, 1, 4, 4, 4, 4, 3, 4, 1, 2, 3, 1, 0, 1, 0, 0, 3, 1, 4, 4, 2, 1, 4, 4, 1, 3, 2, 2, 1, 2, 2, 4, 2, 3, 4, 4, 0, 1, 4, 3, 4, 1, 2, 3, 4, 3, 0, 1, 1, 4, 2, 2, 1, 3, 4, 3, 2, 3, 3, 1, 4, 3, 2, 4, 3, 4, 4, 3, 3, 2, 1, 4, 3, 4, 3, 1, 2, 3, 2, 0, 0, 0, 1, 3, 4, 0, 2, 0, 0, 1, 2, 4, 2, 0, 0, 0, 3, 3, 1, 0, 0, 4, 1, 2, 1, 2, 4, 1, 0, 4, 2, 3, 1, 3, 0, 4, 4, 4, 3, 1, 3, 1, 2, 2, 4, 0, 0, 1, 3, 1, 0, 4, 2, 2, 3, 4, 0, 2, 2, 1, 4, 3, 4, 2, 0, 2, 2, 1, 0, 1, 0, 1, 3, 3, 0, 0, 2, 4, 3, 2, 3, 0, 4, 4, 0, 2, 1, 3, 4, 3, 3, 2, 3, 3, 1, 2, 2, 1, 4, 0, 4, 1, 4, 0, 3, 4, 2, 1, 3, 4, 1, 2, 3, 0, 2, 0, 2, 4, 0, 4, 2, 2, 1, 2, 3, 4, 1, 0, 1, 2, 4, 4, 4, 2, 3, 3, 2, 1, 1, 1, 2, 4, 2, 2, 4, 1, 0, 0, 4] pubkeycol1621 = [1, 1, 3, 3, 0, 4, 0, 1, 2, 4, 4, 2, 2, 0, 0, 0, 0, 0, 3, 4, 2, 4, 4, 0, 0, 4, 4, 4, 3, 4, 2, 0, 0, 0, 1, 2, 0, 4, 3, 4, 3, 2, 2, 2, 1, 2, 0, 2, 1, 0, 4, 3, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 4, 0, 2, 2, 0, 1, 0, 1, 2, 3, 2, 3, 3, 4, 0, 4, 3, 1, 1, 0, 3, 2, 0, 0, 1, 4, 2, 1, 4, 2, 0, 3, 1, 4, 1, 2, 1, 0, 2, 1, 4, 4, 0, 2, 0, 1, 0, 4, 3, 2, 1, 0, 2, 4, 1, 2, 3, 0, 2, 4, 2, 3, 3, 1, 0, 1, 2, 1, 1, 0, 4, 0, 1, 4, 2, 0, 3, 2, 3, 4, 3, 2, 1, 4, 0, 1, 4, 0, 2, 3, 4, 4, 1, 4, 0, 2, 0, 2, 1, 3, 1, 0, 4, 2, 1, 0, 4, 3, 1, 2, 3, 3, 3, 1, 1, 0, 1, 2, 4, 0, 2, 2, 2, 2, 0, 3, 2, 0, 0, 1, 4, 2, 0, 3, 2, 4, 0, 2, 4, 4, 1, 4, 2, 3, 2, 4, 1, 0, 0, 4, 1, 4, 1, 2, 4, 3, 0, 1, 3, 2, 2, 2, 0, 2, 0, 1, 1, 2, 3, 3, 0, 0, 0, 3, 4, 2, 2, 0, 2, 3, 0, 4, 2, 4, 0, 3, 4, 3, 3, 3, 4, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 4, 1, 0, 1, 0, 3, 1, 2, 1, 0, 3, 4, 0, 4, 1, 4, 4, 4, 3, 4, 3, 3, 3, 0, 4, 1, 3, 3, 1, 2, 4, 3, 0, 3, 0, 3, 2, 3, 3, 0, 0, 1, 0, 3, 0, 2, 1, 4, 4, 3, 1, 0, 2, 0, 4, 0, 4, 3, 4, 0, 4, 0, 4, 0, 0, 1, 2, 4, 2, 2, 0, 3, 1, 1, 2, 0, 4, 4, 2, 1, 1, 2, 0, 4, 3, 0, 1, 4, 1, 2, 0, 0, 1, 1, 0, 2, 3, 2, 4, 3, 3, 2, 1, 3, 2, 0, 2, 3, 3, 1, 0, 4, 4, 2, 2, 0, 3, 0, 4, 4, 2, 4, 4, 1, 3, 2, 0, 0, 3, 1, 2, 2, 1, 3, 1, 0] pubkeycol1622 = [2, 0, 0, 0, 4, 4, 2, 0, 4, 0, 2, 1, 0, 4, 2, 0, 3, 4, 3, 1, 1, 0, 4, 2, 1, 0, 0, 3, 1, 3, 0, 2, 3, 3, 2, 1, 4, 2, 4, 0, 3, 3, 4, 2, 4, 0, 4, 0, 1, 3, 4, 3, 1, 0, 4, 2, 4, 0, 1, 3, 2, 1, 3, 2, 4, 2, 0, 1, 1, 0, 1, 0, 3, 4, 1, 3, 3, 0, 4, 3, 4, 2, 1, 0, 0, 4, 2, 1, 3, 2, 0, 3, 1, 1, 4, 1, 2, 3, 1, 2, 3, 1, 2, 0, 4, 4, 4, 0, 0, 3, 2, 4, 1, 4, 2, 2, 4, 2, 1, 3, 1, 3, 3, 3, 4, 0, 0, 1, 4, 0, 3, 1, 4, 1, 0, 4, 0, 4, 0, 0, 2, 2, 4, 4, 3, 3, 4, 1, 2, 1, 1, 1, 1, 3, 4, 2, 4, 2, 2, 3, 1, 2, 1, 0, 2, 3, 2, 1, 0, 3, 4, 3, 2, 1, 4, 2, 2, 0, 3, 3, 4, 0, 3, 1, 4, 3, 3, 1, 3, 3, 0, 3, 2, 4, 3, 0, 0, 0, 1, 2, 0, 2, 3, 1, 0, 3, 4, 3, 0, 2, 4, 3, 3, 2, 0, 1, 0, 2, 1, 2, 3, 2, 4, 3, 2, 3, 4, 3, 2, 3, 0, 3, 4, 2, 0, 3, 3, 2, 1, 4, 1, 2, 2, 2, 4, 1, 4, 4, 4, 2, 2, 1, 2, 1, 2, 0, 3, 1, 1, 0, 2, 1, 2, 4, 2, 0, 2, 4, 2, 4, 1, 4, 4, 1, 2, 0, 3, 4, 2, 0, 1, 4, 3, 3, 1, 2, 3, 4, 3, 2, 0, 0, 1, 3, 2, 0, 1, 0, 3, 3, 2, 3, 0, 0, 4, 2, 1, 1, 4, 0, 4, 4, 1, 3, 2, 2, 3, 4, 0, 2, 1, 3, 4, 4, 2, 3, 1, 0, 3, 1, 0, 1, 3, 1, 3, 1, 3, 3, 3, 0, 0, 2, 2, 1, 0, 2, 2, 3, 0, 3, 0, 4, 2, 4, 3, 1, 1, 0, 3, 1, 4, 1, 0, 2, 1, 1, 1, 0, 1, 1, 4, 2, 4, 0, 0, 3, 3, 4, 2, 2, 0, 2, 4, 1, 3, 4, 1, 1, 1, 1, 4, 2, 0, 2, 4, 4, 0, 2, 3, 3] pubkeycol1623 = [3, 0, 2, 3, 0, 4, 3, 2, 2, 2, 3, 3, 3, 1, 3, 2, 1, 4, 0, 1, 0, 0, 0, 0, 1, 2, 0, 3, 4, 3, 4, 2, 3, 3, 1, 4, 4, 0, 4, 2, 2, 3, 1, 0, 0, 0, 0, 3, 2, 0, 0, 4, 3, 0, 2, 2, 0, 0, 0, 3, 4, 0, 0, 3, 4, 0, 2, 0, 2, 1, 4, 1, 1, 3, 0, 1, 0, 1, 3, 4, 0, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 4, 0, 1, 3, 2, 1, 0, 1, 2, 0, 0, 0, 4, 0, 4, 3, 4, 1, 1, 3, 2, 0, 0, 3, 1, 1, 3, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 2, 4, 4, 4, 3, 1, 4, 3, 2, 3, 2, 3, 1, 1, 0, 1, 3, 2, 0, 4, 2, 1, 0, 1, 3, 4, 3, 3, 3, 2, 3, 4, 1, 2, 2, 4, 4, 4, 3, 0, 3, 4, 2, 0, 4, 1, 3, 1, 3, 0, 4, 1, 1, 0, 4, 3, 3, 4, 3, 3, 0, 2, 1, 1, 2, 3, 4, 1, 3, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 3, 1, 3, 1, 2, 2, 4, 2, 0, 1, 1, 4, 3, 3, 2, 4, 3, 3, 3, 2, 3, 3, 1, 3, 4, 2, 0, 4, 4, 1, 1, 3, 3, 4, 4, 1, 4, 1, 2, 1, 3, 3, 0, 3, 1, 1, 4, 4, 0, 1, 0, 0, 2, 1, 4, 1, 1, 3, 1, 0, 3, 0, 2, 4, 1, 2, 4, 0, 2, 2, 1, 3, 2, 2, 4, 1, 0, 4, 4, 3, 2, 4, 2, 4, 0, 4, 3, 2, 4, 4, 4, 3, 0, 4, 1, 2, 2, 0, 2, 3, 3, 1, 1, 3, 1, 3, 0, 3, 3, 0, 0, 1, 3, 0, 1, 2, 1, 1, 1, 0, 2, 4, 0, 1, 2, 4, 0, 3, 4, 3, 3, 3, 3, 0, 2, 3, 3, 2, 3, 1, 2, 3, 1, 4, 4, 4, 4, 1, 4, 4, 2, 2, 1, 3, 3, 4, 1, 2, 1, 4, 0, 2, 2, 1, 1, 0, 3, 2, 0, 4, 1, 2, 2, 4, 3, 4, 3, 3, 3, 2, 4, 1] pubkeycol1624 = [3, 2, 1, 3, 4, 1, 3, 1, 3, 2, 2, 1, 0, 3, 2, 2, 0, 3, 0, 3, 4, 1, 4, 2, 3, 3, 4, 4, 4, 4, 3, 1, 4, 4, 3, 2, 0, 0, 4, 2, 4, 3, 3, 4, 4, 0, 4, 4, 2, 3, 2, 3, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 4, 3, 1, 0, 1, 0, 1, 1, 4, 1, 4, 1, 0, 3, 2, 2, 4, 0, 4, 4, 4, 4, 0, 3, 1, 2, 1, 2, 2, 2, 1, 3, 1, 0, 2, 0, 4, 0, 2, 3, 0, 2, 4, 0, 0, 1, 2, 3, 0, 4, 4, 3, 1, 0, 0, 1, 1, 4, 3, 1, 3, 0, 4, 0, 0, 0, 0, 4, 4, 4, 2, 0, 4, 2, 2, 4, 3, 1, 2, 3, 3, 4, 3, 4, 1, 0, 4, 0, 0, 4, 0, 1, 0, 1, 3, 2, 4, 0, 1, 0, 4, 3, 2, 2, 0, 0, 3, 1, 4, 1, 4, 2, 2, 1, 0, 2, 4, 3, 0, 3, 0, 4, 4, 3, 4, 1, 1, 2, 2, 0, 4, 0, 3, 4, 2, 3, 2, 2, 3, 0, 4, 2, 4, 0, 3, 1, 3, 3, 3, 4, 0, 1, 0, 4, 0, 3, 4, 4, 2, 1, 2, 3, 2, 1, 3, 1, 2, 1, 2, 2, 0, 1, 0, 3, 2, 0, 0, 4, 1, 4, 3, 4, 1, 0, 3, 1, 3, 3, 1, 1, 1, 1, 2, 2, 2, 4, 2, 4, 1, 2, 0, 2, 3, 2, 2, 1, 2, 3, 0, 0, 4, 3, 0, 3, 4, 3, 2, 3, 0, 0, 1, 2, 3, 3, 3, 2, 3, 2, 0, 0, 3, 1, 1, 3, 3, 3, 2, 4, 4, 1, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 4, 4, 0, 2, 2, 3, 3, 1, 3, 2, 3, 0, 4, 4, 4, 1, 0, 1, 1, 4, 3, 4, 4, 2, 1, 4, 2, 0, 3, 2, 1, 2, 0, 3, 4, 3, 4, 3, 4, 4, 0, 4, 3, 4, 1, 2, 1, 1, 3, 1, 2, 3, 2, 0, 0, 0, 3, 2, 3, 1, 0, 2, 2, 0, 0, 4, 1, 0, 2, 4, 0, 2, 4, 4, 3, 0, 4, 2, 1, 3, 2, 2] pubkeycol1625 = [1, 1, 3, 4, 1, 4, 3, 3, 1, 4, 2, 1, 1, 3, 4, 1, 4, 0, 4, 0, 4, 1, 4, 4, 4, 1, 2, 2, 1, 3, 0, 4, 4, 2, 4, 0, 4, 2, 3, 0, 3, 0, 1, 2, 3, 4, 3, 3, 1, 2, 3, 2, 0, 2, 2, 4, 3, 4, 4, 4, 4, 0, 2, 4, 4, 3, 3, 1, 1, 3, 2, 0, 2, 0, 2, 2, 4, 3, 2, 4, 1, 3, 1, 4, 1, 0, 0, 2, 1, 3, 2, 3, 1, 4, 0, 0, 4, 2, 2, 4, 1, 2, 0, 0, 3, 3, 0, 0, 3, 4, 1, 1, 3, 3, 4, 2, 4, 0, 4, 4, 3, 1, 0, 0, 2, 2, 4, 4, 2, 1, 4, 4, 0, 1, 4, 3, 3, 2, 1, 3, 1, 2, 0, 2, 3, 0, 4, 4, 2, 1, 4, 2, 3, 2, 0, 2, 0, 3, 4, 2, 1, 2, 0, 4, 4, 2, 1, 1, 2, 1, 4, 2, 0, 0, 2, 3, 0, 0, 0, 1, 3, 0, 4, 1, 3, 1, 1, 1, 3, 1, 0, 1, 2, 3, 1, 3, 0, 3, 0, 3, 4, 4, 4, 0, 0, 0, 4, 0, 1, 4, 4, 4, 0, 2, 3, 3, 2, 2, 0, 0, 1, 4, 0, 0, 3, 2, 4, 0, 4, 2, 4, 3, 0, 4, 3, 4, 2, 0, 0, 4, 3, 2, 2, 2, 3, 0, 3, 3, 4, 2, 4, 4, 2, 4, 1, 4, 3, 4, 1, 1, 2, 1, 3, 3, 4, 3, 4, 4, 4, 0, 4, 3, 3, 1, 0, 3, 3, 0, 4, 0, 0, 4, 4, 3, 4, 2, 0, 3, 1, 4, 4, 3, 3, 2, 1, 2, 3, 1, 0, 2, 3, 1, 0, 2, 1, 3, 0, 3, 1, 0, 1, 0, 0, 0, 3, 2, 0, 1, 4, 0, 3, 4, 0, 3, 1, 4, 0, 2, 4, 3, 3, 0, 2, 0, 3, 4, 1, 1, 2, 3, 0, 1, 1, 4, 1, 1, 1, 4, 2, 4, 1, 0, 1, 2, 1, 4, 1, 4, 1, 1, 0, 1, 2, 0, 3, 3, 1, 1, 1, 2, 2, 0, 3, 2, 2, 1, 2, 2, 3, 1, 2, 4, 3, 3, 1, 1, 2, 2, 0, 4, 2, 3, 2, 4, 0, 0, 2, 1, 4, 4] pubkeycol1626 = [2, 4, 0, 3, 0, 1, 1, 4, 2, 2, 4, 0, 0, 0, 2, 0, 3, 2, 2, 1, 0, 0, 4, 0, 3, 3, 4, 4, 1, 2, 1, 1, 4, 0, 3, 3, 2, 0, 0, 1, 1, 4, 4, 2, 1, 3, 1, 0, 2, 2, 3, 2, 2, 0, 1, 0, 2, 4, 2, 1, 4, 4, 4, 0, 0, 2, 1, 2, 4, 2, 1, 4, 1, 1, 3, 1, 3, 1, 2, 3, 3, 3, 0, 1, 4, 1, 1, 1, 1, 2, 1, 0, 3, 1, 0, 4, 0, 4, 4, 1, 0, 1, 2, 4, 2, 2, 0, 2, 1, 2, 0, 4, 2, 2, 4, 0, 2, 4, 4, 4, 2, 0, 0, 3, 3, 2, 3, 0, 4, 2, 2, 2, 3, 0, 1, 4, 4, 3, 4, 1, 3, 1, 1, 2, 2, 2, 2, 2, 3, 0, 1, 4, 0, 0, 4, 1, 0, 3, 1, 0, 4, 1, 0, 4, 0, 3, 4, 4, 2, 0, 1, 4, 2, 3, 2, 4, 0, 1, 0, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 1, 0, 2, 2, 1, 3, 4, 2, 2, 1, 3, 1, 4, 1, 1, 2, 1, 3, 3, 4, 3, 2, 0, 1, 0, 3, 0, 4, 0, 1, 2, 3, 2, 3, 0, 2, 1, 4, 4, 0, 2, 1, 3, 4, 0, 2, 1, 1, 3, 3, 2, 3, 4, 2, 0, 3, 0, 0, 2, 1, 0, 0, 1, 2, 4, 2, 2, 3, 2, 0, 1, 3, 2, 2, 3, 0, 4, 0, 3, 0, 2, 0, 4, 1, 0, 2, 1, 0, 3, 3, 4, 3, 0, 0, 4, 4, 0, 2, 4, 2, 4, 1, 4, 2, 3, 1, 2, 1, 1, 4, 0, 4, 0, 0, 0, 2, 4, 0, 2, 4, 1, 1, 4, 0, 2, 1, 4, 1, 2, 1, 3, 1, 1, 3, 0, 3, 1, 1, 3, 4, 0, 3, 1, 3, 2, 3, 4, 0, 2, 0, 0, 3, 2, 3, 2, 1, 1, 0, 0, 0, 1, 4, 2, 1, 0, 4, 3, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 4, 3, 3, 1, 0, 3, 3, 0, 3, 1, 1, 4, 1, 1, 3, 3, 2, 0, 0, 1, 4, 1, 0, 1, 1, 4, 4, 4, 3, 3, 0] pubkeycol1627 = [4, 0, 2, 2, 3, 1, 1, 0, 2, 1, 4, 2, 4, 2, 4, 3, 4, 4, 4, 3, 1, 2, 1, 3, 3, 1, 3, 4, 1, 1, 3, 1, 1, 4, 0, 4, 4, 1, 1, 2, 3, 1, 4, 4, 0, 3, 0, 4, 3, 1, 3, 3, 1, 4, 4, 1, 0, 1, 1, 2, 3, 0, 4, 3, 0, 3, 0, 3, 3, 3, 3, 4, 3, 4, 1, 2, 1, 3, 1, 4, 2, 2, 0, 2, 3, 2, 4, 3, 4, 1, 4, 3, 3, 3, 0, 4, 3, 0, 4, 0, 3, 0, 4, 3, 2, 1, 2, 3, 0, 4, 1, 2, 3, 3, 2, 3, 2, 4, 1, 2, 0, 2, 4, 2, 3, 3, 3, 1, 2, 2, 3, 1, 4, 1, 2, 1, 4, 1, 2, 4, 4, 1, 3, 2, 2, 2, 2, 4, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 2, 4, 1, 3, 1, 3, 1, 1, 3, 2, 4, 0, 2, 1, 4, 1, 1, 3, 1, 1, 3, 3, 1, 2, 4, 0, 3, 1, 3, 2, 2, 1, 1, 3, 4, 1, 2, 2, 0, 0, 4, 4, 1, 3, 0, 0, 4, 2, 4, 0, 4, 1, 3, 2, 1, 0, 4, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 4, 0, 0, 1, 0, 4, 3, 2, 4, 2, 0, 2, 1, 3, 0, 3, 0, 3, 1, 1, 1, 1, 4, 3, 1, 2, 3, 0, 1, 2, 2, 4, 2, 1, 4, 4, 4, 0, 2, 3, 0, 0, 1, 0, 1, 1, 4, 2, 4, 1, 2, 1, 0, 1, 2, 1, 3, 1, 0, 2, 1, 4, 0, 3, 3, 3, 1, 1, 0, 3, 1, 3, 2, 4, 3, 0, 1, 1, 2, 3, 4, 2, 4, 3, 4, 3, 0, 3, 1, 0, 1, 1, 1, 4, 0, 2, 0, 4, 0, 2, 3, 2, 3, 4, 0, 0, 0, 2, 4, 2, 3, 0, 2, 3, 2, 0, 4, 4, 2, 2, 4, 2, 1, 0, 3, 4, 1, 1, 0, 0, 1, 1, 3, 0, 3, 3, 2, 3, 0, 2, 4, 0, 1, 3, 0, 3, 3, 2, 1, 4, 2, 4, 0, 3, 2, 4, 4, 3, 0, 2, 1, 2, 1, 4, 4, 4, 0, 1, 3, 4, 3] pubkeycol1628 = [0, 3, 3, 3, 1, 1, 0, 3, 3, 2, 1, 4, 3, 1, 3, 2, 2, 0, 0, 2, 0, 1, 1, 2, 4, 3, 0, 4, 0, 0, 3, 0, 2, 1, 2, 4, 4, 4, 2, 4, 2, 0, 0, 1, 2, 1, 1, 4, 3, 1, 3, 0, 3, 4, 2, 1, 4, 3, 3, 2, 0, 2, 3, 2, 3, 2, 0, 2, 1, 3, 1, 4, 4, 0, 2, 3, 2, 2, 0, 3, 3, 0, 4, 1, 3, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 3, 2, 4, 2, 2, 2, 0, 3, 0, 0, 0, 1, 3, 3, 1, 2, 2, 3, 1, 3, 3, 3, 0, 4, 3, 4, 1, 2, 3, 3, 2, 1, 0, 3, 1, 3, 0, 0, 2, 3, 1, 4, 1, 4, 4, 0, 3, 0, 1, 2, 3, 4, 3, 4, 2, 2, 2, 4, 3, 2, 1, 1, 2, 4, 4, 3, 0, 2, 3, 3, 3, 0, 2, 3, 2, 1, 2, 4, 2, 3, 4, 1, 4, 3, 4, 1, 4, 0, 2, 4, 2, 3, 0, 3, 2, 4, 1, 1, 0, 0, 3, 1, 1, 2, 4, 4, 4, 4, 0, 3, 4, 2, 1, 4, 2, 0, 1, 4, 0, 4, 0, 4, 2, 1, 3, 4, 3, 1, 1, 4, 1, 2, 0, 2, 0, 4, 3, 0, 2, 1, 1, 1, 0, 3, 4, 4, 2, 4, 3, 3, 0, 1, 0, 3, 2, 2, 0, 1, 1, 3, 0, 0, 3, 1, 2, 4, 3, 1, 4, 1, 3, 3, 4, 2, 3, 2, 0, 0, 2, 1, 1, 1, 3, 1, 3, 1, 1, 3, 4, 3, 2, 2, 3, 4, 4, 4, 0, 3, 1, 2, 3, 0, 3, 1, 4, 1, 3, 4, 2, 4, 1, 3, 3, 4, 1, 1, 3, 4, 1, 0, 3, 3, 0, 0, 0, 3, 1, 0, 4, 0, 3, 3, 1, 1, 1, 2, 3, 2, 0, 4, 4, 1, 2, 2, 2, 0, 4, 1, 2, 0, 2, 0, 1, 2, 0, 4, 2, 3, 4, 0, 0, 2, 3, 0, 0, 3, 3, 2, 0, 1, 2, 3, 1, 2, 4, 4, 2, 3, 0, 4, 3, 1, 0, 0, 0, 1, 0, 3, 3, 1, 1, 1, 4, 2, 4, 4, 2, 3, 4, 0, 3, 2] pubkeycol1629 = [3, 4, 1, 1, 3, 2, 1, 2, 1, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 0, 3, 2, 1, 3, 4, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 3, 3, 0, 1, 1, 4, 4, 4, 1, 2, 3, 1, 4, 1, 0, 1, 0, 2, 3, 1, 0, 1, 1, 4, 0, 0, 3, 2, 0, 2, 3, 2, 4, 3, 2, 3, 3, 3, 4, 2, 1, 3, 2, 1, 0, 3, 3, 3, 0, 3, 1, 4, 1, 1, 3, 0, 0, 4, 0, 2, 0, 1, 4, 3, 2, 3, 2, 3, 0, 3, 0, 0, 1, 3, 2, 3, 0, 3, 1, 2, 2, 0, 4, 3, 3, 2, 1, 0, 0, 2, 0, 1, 4, 2, 3, 1, 1, 4, 4, 0, 2, 4, 3, 0, 3, 2, 3, 3, 4, 4, 1, 0, 1, 4, 1, 3, 0, 4, 1, 4, 2, 2, 4, 3, 1, 0, 3, 4, 2, 4, 4, 1, 2, 2, 4, 3, 2, 3, 1, 1, 4, 3, 3, 4, 4, 4, 1, 4, 0, 3, 3, 2, 3, 0, 0, 4, 0, 2, 0, 2, 3, 0, 1, 1, 3, 3, 4, 4, 3, 0, 4, 0, 3, 4, 2, 2, 2, 0, 0, 4, 0, 1, 4, 3, 3, 3, 0, 4, 0, 4, 1, 2, 4, 4, 0, 3, 2, 3, 2, 4, 4, 2, 4, 1, 0, 1, 0, 3, 1, 3, 3, 0, 1, 2, 1, 0, 1, 0, 1, 4, 3, 2, 3, 4, 1, 1, 2, 4, 2, 0, 3, 3, 0, 0, 3, 2, 2, 3, 2, 3, 0, 3, 4, 3, 4, 4, 4, 3, 1, 2, 1, 3, 1, 3, 3, 4, 0, 1, 0, 2, 2, 3, 1, 0, 3, 0, 4, 4, 2, 1, 3, 3, 3, 2, 1, 3, 4, 4, 4, 1, 0, 2, 1, 0, 2, 3, 3, 2, 4, 0, 0, 4, 3, 1, 2, 4, 1, 0, 2, 3, 1, 2, 3, 0, 3, 4, 3, 4, 4, 1, 4, 4, 2, 1, 1, 1, 3, 3, 4, 4, 4, 3, 3, 0, 1, 0, 2, 0, 2, 3, 0, 2, 4, 4, 0, 3, 2, 4, 4, 2, 0, 0, 3, 0, 0, 4, 4, 2, 4, 0, 4, 3, 1, 0, 3, 2, 1, 4, 2, 1, 0, 1, 3, 2] pubkeycol1630 = [3, 3, 0, 3, 0, 2, 3, 3, 4, 0, 0, 0, 2, 3, 1, 2, 3, 2, 4, 4, 0, 1, 0, 2, 1, 3, 3, 0, 4, 3, 3, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 4, 2, 2, 3, 4, 3, 4, 1, 0, 3, 3, 3, 2, 4, 0, 4, 1, 2, 3, 0, 4, 2, 4, 2, 1, 1, 2, 1, 0, 2, 0, 0, 4, 1, 0, 1, 1, 0, 4, 0, 4, 4, 0, 4, 2, 2, 2, 0, 1, 4, 0, 3, 1, 4, 4, 1, 3, 2, 4, 4, 4, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 4, 1, 3, 0, 2, 4, 3, 4, 4, 3, 3, 2, 3, 4, 1, 1, 1, 1, 3, 2, 1, 3, 2, 3, 4, 4, 1, 4, 3, 0, 4, 3, 3, 3, 4, 3, 3, 2, 1, 3, 0, 3, 2, 4, 0, 0, 4, 1, 4, 1, 3, 0, 4, 1, 1, 0, 3, 0, 3, 4, 1, 4, 4, 4, 1, 3, 2, 2, 2, 4, 2, 4, 3, 2, 3, 4, 0, 1, 4, 3, 0, 0, 4, 2, 3, 0, 2, 3, 0, 4, 2, 4, 3, 3, 4, 3, 3, 2, 0, 3, 2, 3, 4, 1, 3, 2, 1, 2, 1, 1, 4, 4, 3, 0, 1, 3, 0, 0, 3, 1, 2, 4, 0, 2, 3, 1, 2, 0, 4, 4, 2, 2, 0, 2, 1, 4, 3, 0, 3, 1, 0, 2, 3, 2, 4, 1, 4, 4, 1, 3, 4, 1, 3, 0, 0, 2, 0, 4, 4, 1, 1, 2, 3, 1, 4, 4, 4, 4, 0, 1, 1, 0, 2, 4, 4, 1, 3, 1, 4, 3, 0, 1, 0, 2, 4, 3, 0, 1, 3, 0, 4, 3, 2, 1, 4, 0, 1, 4, 3, 1, 2, 1, 4, 0, 1, 0, 3, 1, 2, 1, 4, 3, 3, 1, 3, 2, 2, 1, 0, 2, 2, 4, 3, 3, 0, 3, 2, 3, 3, 1, 3, 3, 1, 0, 0, 3, 4, 3, 0, 3, 2, 1, 0, 0, 4, 1, 3, 4, 4, 2, 4, 0, 2, 4, 4, 3, 1, 0, 2, 1, 3, 1, 4, 3, 4, 0, 1, 1, 2, 3, 4, 1, 3, 2, 3, 4, 2, 4, 3, 4, 0, 4, 0, 0, 2, 3] pubkeycol1631 = [3, 3, 3, 4, 1, 1, 3, 3, 0, 3, 0, 0, 3, 4, 4, 2, 4, 0, 1, 0, 3, 3, 0, 3, 3, 4, 1, 3, 1, 4, 0, 4, 2, 1, 4, 2, 0, 3, 4, 4, 4, 0, 2, 0, 2, 0, 1, 4, 1, 2, 0, 4, 3, 2, 4, 3, 2, 4, 0, 1, 1, 3, 0, 1, 2, 0, 2, 3, 2, 3, 3, 1, 1, 2, 1, 4, 3, 4, 3, 1, 2, 2, 0, 1, 0, 1, 3, 0, 3, 1, 3, 3, 0, 1, 3, 3, 0, 4, 2, 4, 4, 2, 1, 2, 3, 4, 3, 3, 3, 4, 0, 4, 3, 3, 4, 3, 3, 4, 3, 4, 3, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 4, 4, 0, 2, 1, 3, 4, 1, 2, 0, 0, 1, 3, 1, 2, 0, 3, 4, 0, 2, 4, 2, 4, 1, 2, 4, 3, 0, 1, 0, 3, 4, 2, 0, 2, 1, 2, 3, 0, 0, 4, 3, 1, 1, 1, 3, 0, 1, 0, 1, 2, 4, 0, 1, 4, 0, 4, 4, 0, 1, 3, 4, 3, 2, 2, 2, 4, 3, 0, 3, 3, 0, 2, 2, 1, 0, 4, 0, 0, 3, 0, 4, 1, 1, 2, 3, 1, 1, 0, 0, 2, 3, 2, 0, 4, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 4, 2, 3, 0, 2, 2, 1, 4, 0, 3, 1, 0, 3, 2, 4, 4, 3, 4, 4, 1, 2, 0, 1, 3, 1, 4, 1, 4, 1, 3, 0, 4, 4, 1, 0, 3, 0, 1, 1, 3, 2, 0, 0, 2, 4, 3, 3, 0, 2, 3, 4, 1, 1, 4, 0, 1, 4, 1, 3, 4, 1, 2, 2, 3, 1, 0, 2, 1, 3, 1, 3, 2, 3, 1, 0, 1, 0, 3, 1, 2, 0, 0, 2, 0, 3, 0, 1, 4, 0, 4, 2, 0, 3, 0, 1, 2, 0, 1, 0, 3, 3, 1, 4, 2, 1, 4, 2, 3, 1, 0, 1, 3, 3, 1, 4, 2, 0, 3, 2, 3, 2, 3, 0, 1, 1, 2, 2, 3, 3, 0, 4, 0, 4, 4, 3, 2, 2, 2, 0, 4, 2, 3, 0, 0, 2, 4, 1, 3, 4, 4, 2, 4, 0, 2, 3, 3, 2, 4, 0, 1, 3, 1] pubkeycol1632 = [3, 2, 3, 0, 4, 0, 3, 4, 3, 4, 3, 4, 3, 3, 0, 3, 2, 4, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 4, 1, 1, 4, 2, 4, 3, 4, 4, 1, 2, 2, 4, 3, 1, 4, 1, 2, 0, 4, 2, 3, 1, 0, 3, 1, 3, 0, 2, 0, 4, 0, 3, 1, 3, 2, 2, 4, 0, 1, 1, 4, 2, 2, 3, 3, 4, 1, 0, 0, 3, 1, 3, 2, 4, 4, 3, 3, 3, 1, 2, 1, 0, 0, 3, 0, 0, 2, 1, 3, 2, 2, 1, 1, 1, 3, 4, 4, 2, 2, 4, 1, 4, 4, 1, 1, 0, 0, 0, 4, 0, 1, 2, 3, 1, 0, 4, 2, 1, 0, 3, 3, 3, 1, 1, 1, 3, 2, 1, 0, 0, 3, 1, 0, 4, 3, 2, 4, 1, 3, 1, 0, 4, 3, 3, 3, 2, 0, 4, 2, 0, 1, 2, 4, 2, 2, 2, 2, 4, 3, 2, 1, 3, 2, 3, 3, 3, 0, 3, 2, 3, 1, 0, 4, 3, 3, 4, 3, 1, 0, 3, 3, 4, 1, 1, 3, 0, 3, 2, 3, 4, 1, 4, 2, 0, 3, 1, 1, 1, 4, 0, 1, 3, 2, 0, 1, 1, 4, 1, 4, 2, 0, 3, 4, 2, 1, 0, 1, 2, 2, 0, 2, 3, 3, 3, 3, 3, 1, 4, 2, 0, 4, 2, 0, 0, 1, 1, 3, 1, 2, 1, 1, 2, 4, 1, 2, 2, 0, 4, 3, 1, 4, 3, 3, 4, 3, 1, 0, 0, 3, 3, 0, 0, 3, 2, 4, 1, 0, 2, 0, 2, 4, 3, 3, 0, 4, 3, 1, 3, 1, 4, 3, 2, 1, 3, 0, 4, 4, 1, 1, 3, 2, 0, 1, 2, 4, 1, 4, 2, 1, 3, 1, 4, 3, 0, 3, 3, 2, 2, 0, 0, 4, 0, 1, 2, 2, 2, 4, 3, 2, 3, 1, 2, 1, 2, 4, 0, 2, 3, 3, 3, 1, 2, 2, 4, 3, 2, 3, 3, 1, 2, 4, 3, 1, 4, 4, 3, 2, 4, 4, 2, 2, 4, 3, 2, 0, 4, 1, 1, 2, 2, 0, 2, 0, 1, 3, 4, 2, 3, 3, 0, 3, 1, 1, 1, 4, 4, 0, 3, 0, 2, 4, 3, 3, 2, 2, 0, 4, 3, 4, 0] pubkeycol1633 = [3, 2, 4, 1, 4, 0, 3, 1, 0, 1, 4, 2, 3, 2, 0, 4, 1, 4, 0, 0, 2, 0, 3, 2, 2, 3, 4, 1, 4, 1, 4, 3, 1, 1, 1, 3, 1, 2, 2, 4, 2, 1, 0, 3, 1, 1, 1, 3, 4, 4, 4, 0, 1, 0, 0, 3, 2, 4, 4, 4, 4, 2, 4, 1, 0, 4, 4, 4, 4, 4, 3, 1, 2, 0, 1, 0, 2, 0, 3, 2, 2, 1, 1, 3, 2, 3, 0, 0, 0, 1, 3, 0, 0, 1, 1, 2, 1, 4, 1, 4, 0, 2, 4, 3, 0, 1, 3, 2, 0, 4, 1, 1, 3, 1, 3, 3, 4, 3, 1, 1, 2, 2, 4, 0, 1, 2, 1, 0, 1, 4, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 4, 1, 2, 2, 3, 1, 4, 1, 3, 4, 1, 1, 3, 2, 0, 2, 3, 0, 2, 4, 1, 0, 1, 1, 3, 1, 3, 4, 2, 3, 3, 2, 3, 2, 1, 3, 2, 4, 3, 3, 1, 0, 4, 0, 3, 1, 4, 2, 4, 4, 4, 0, 0, 4, 0, 0, 1, 0, 1, 2, 3, 2, 0, 4, 1, 0, 3, 2, 3, 1, 4, 4, 2, 3, 1, 3, 3, 1, 4, 2, 2, 2, 2, 2, 4, 1, 3, 1, 4, 3, 2, 0, 4, 4, 2, 2, 3, 3, 0, 0, 0, 3, 4, 1, 4, 4, 2, 1, 4, 4, 3, 1, 2, 4, 1, 2, 1, 2, 2, 4, 0, 2, 0, 1, 2, 2, 0, 3, 1, 1, 4, 3, 0, 3, 2, 4, 1, 2, 2, 1, 4, 4, 2, 3, 0, 3, 3, 2, 1, 4, 3, 1, 0, 4, 3, 0, 0, 4, 4, 3, 3, 4, 2, 2, 3, 0, 1, 1, 1, 4, 0, 2, 4, 3, 0, 0, 0, 0, 1, 0, 4, 4, 4, 2, 1, 3, 4, 2, 4, 3, 4, 0, 1, 0, 4, 1, 3, 3, 2, 1, 3, 1, 3, 0, 0, 4, 2, 4, 2, 0, 3, 1, 2, 0, 4, 2, 3, 0, 2, 3, 2, 0, 2, 0, 1, 0, 3, 2, 4, 3, 0, 1, 2, 1, 0, 2, 2, 2, 2, 3, 0, 1, 0, 0, 1, 1, 4, 1, 3, 1, 2, 2, 2, 1, 3, 0, 4, 3, 1, 1] pubkeycol1634 = [3, 3, 2, 3, 1, 3, 2, 2, 0, 2, 2, 3, 2, 2, 0, 3, 2, 3, 1, 2, 1, 3, 4, 2, 0, 2, 4, 0, 4, 2, 0, 3, 4, 1, 2, 3, 1, 0, 3, 4, 1, 2, 3, 4, 0, 1, 0, 4, 0, 0, 4, 2, 0, 4, 0, 3, 1, 0, 4, 4, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 4, 0, 3, 3, 4, 0, 4, 3, 1, 1, 2, 4, 4, 2, 2, 1, 2, 4, 3, 4, 3, 4, 3, 3, 1, 1, 1, 2, 1, 1, 2, 4, 4, 3, 2, 1, 2, 2, 1, 4, 2, 0, 2, 4, 1, 3, 4, 0, 1, 2, 1, 2, 3, 3, 0, 2, 3, 4, 3, 2, 0, 4, 0, 1, 3, 2, 2, 3, 0, 2, 1, 0, 2, 3, 4, 3, 1, 3, 4, 1, 0, 0, 3, 0, 1, 0, 4, 4, 4, 1, 3, 2, 2, 2, 1, 4, 4, 3, 0, 2, 3, 3, 4, 0, 4, 3, 4, 0, 4, 1, 2, 2, 4, 0, 4, 3, 2, 3, 4, 1, 3, 2, 0, 4, 3, 1, 4, 4, 0, 2, 1, 4, 4, 3, 4, 0, 1, 3, 2, 0, 0, 2, 0, 2, 4, 2, 2, 1, 2, 3, 3, 4, 0, 0, 1, 0, 4, 3, 1, 1, 1, 1, 4, 3, 1, 1, 1, 2, 1, 0, 3, 2, 2, 4, 0, 0, 0, 4, 0, 3, 4, 1, 3, 0, 4, 1, 4, 1, 0, 0, 4, 1, 3, 3, 1, 1, 2, 1, 3, 4, 2, 1, 1, 4, 3, 4, 4, 1, 3, 1, 2, 3, 4, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 3, 4, 2, 0, 2, 0, 4, 2, 2, 0, 2, 3, 3, 4, 3, 4, 0, 2, 1, 4, 4, 0, 2, 3, 3, 0, 1, 2, 3, 1, 3, 1, 2, 0, 2, 3, 2, 2, 0, 1, 3, 0, 1, 4, 3, 1, 3, 2, 0, 3, 0, 1, 1, 0, 2, 1, 3, 3, 1, 2, 1, 0, 0, 4, 3, 3, 3, 0, 1, 3, 3, 2, 3, 0, 1, 2, 2, 0, 4, 0, 4, 1, 1, 3, 3, 0, 0, 1, 2, 0, 1, 3, 0, 2, 2, 2, 2, 0, 4, 1, 1, 3, 2] pubkeycol1635 = [3, 1, 3, 4, 0, 3, 1, 2, 2, 3, 3, 1, 2, 2, 4, 0, 3, 0, 2, 3, 0, 2, 0, 4, 2, 2, 2, 3, 3, 2, 1, 1, 0, 3, 4, 3, 2, 3, 2, 3, 4, 0, 4, 0, 0, 1, 2, 4, 3, 4, 0, 1, 3, 2, 3, 2, 1, 4, 1, 3, 1, 0, 4, 3, 1, 1, 3, 3, 2, 2, 0, 1, 4, 3, 4, 1, 4, 0, 1, 4, 3, 2, 4, 4, 4, 0, 2, 4, 4, 1, 4, 3, 2, 3, 3, 4, 2, 2, 2, 1, 4, 4, 1, 4, 3, 0, 1, 4, 2, 4, 4, 0, 0, 1, 0, 3, 4, 2, 0, 1, 1, 0, 3, 3, 1, 1, 3, 2, 3, 4, 0, 2, 1, 1, 2, 4, 0, 0, 3, 0, 3, 4, 0, 3, 0, 4, 3, 1, 0, 3, 0, 0, 3, 4, 0, 4, 3, 0, 1, 2, 4, 3, 3, 2, 3, 4, 4, 3, 2, 1, 1, 0, 2, 3, 3, 4, 3, 4, 1, 3, 3, 2, 4, 2, 2, 0, 0, 0, 2, 4, 3, 4, 0, 2, 4, 0, 4, 3, 3, 1, 3, 0, 3, 0, 0, 2, 0, 1, 4, 2, 3, 4, 2, 4, 4, 4, 3, 4, 2, 0, 3, 2, 4, 1, 1, 0, 1, 0, 4, 4, 1, 4, 1, 4, 4, 0, 3, 0, 1, 3, 2, 4, 2, 2, 0, 1, 4, 0, 2, 4, 3, 4, 3, 0, 2, 3, 2, 1, 1, 0, 0, 1, 0, 4, 0, 4, 2, 4, 0, 4, 1, 4, 4, 1, 4, 1, 1, 2, 0, 3, 2, 3, 1, 3, 4, 1, 0, 1, 2, 4, 2, 3, 3, 2, 4, 1, 0, 3, 3, 3, 4, 3, 0, 2, 2, 0, 3, 1, 0, 4, 2, 0, 0, 0, 2, 3, 4, 2, 3, 2, 0, 0, 3, 4, 0, 0, 0, 0, 2, 4, 4, 4, 0, 0, 4, 3, 0, 4, 2, 0, 4, 3, 1, 2, 4, 2, 0, 1, 0, 4, 3, 1, 3, 0, 0, 4, 1, 3, 4, 0, 0, 2, 4, 3, 3, 3, 4, 1, 1, 1, 0, 3, 2, 4, 4, 3, 3, 0, 1, 3, 3, 1, 3, 0, 1, 1, 2, 3, 2, 4, 2, 4, 0, 2, 3, 1, 3, 0, 0, 1] pubkeycol1636 = [2, 1, 3, 0, 4, 4, 4, 2, 2, 4, 4, 1, 2, 1, 4, 1, 2, 0, 3, 3, 1, 4, 2, 4, 4, 2, 2, 0, 3, 1, 3, 3, 2, 0, 4, 4, 3, 0, 4, 3, 2, 1, 2, 4, 4, 0, 1, 3, 2, 3, 4, 2, 3, 1, 3, 1, 4, 3, 3, 4, 0, 0, 4, 3, 2, 4, 0, 3, 3, 3, 2, 3, 3, 0, 2, 2, 4, 2, 1, 1, 4, 2, 3, 0, 4, 4, 3, 3, 0, 0, 4, 3, 2, 4, 1, 3, 1, 4, 4, 4, 0, 4, 4, 2, 1, 3, 2, 2, 4, 3, 4, 4, 4, 0, 3, 1, 2, 4, 1, 0, 3, 3, 2, 1, 4, 4, 3, 2, 0, 2, 1, 1, 4, 1, 1, 0, 4, 0, 0, 2, 3, 2, 1, 2, 1, 0, 3, 1, 0, 0, 3, 3, 0, 2, 2, 2, 1, 4, 2, 1, 3, 4, 4, 2, 4, 1, 2, 0, 2, 4, 2, 1, 3, 3, 4, 3, 4, 0, 3, 0, 1, 4, 3, 4, 2, 1, 0, 4, 2, 4, 1, 1, 3, 1, 1, 4, 4, 1, 3, 1, 3, 0, 0, 1, 2, 2, 4, 0, 1, 0, 0, 0, 0, 3, 2, 2, 0, 2, 2, 1, 0, 3, 1, 1, 1, 0, 2, 1, 4, 0, 2, 1, 3, 2, 2, 1, 1, 0, 2, 4, 1, 1, 1, 4, 2, 0, 3, 4, 3, 1, 0, 0, 1, 2, 1, 4, 1, 2, 4, 0, 3, 2, 4, 1, 3, 4, 0, 3, 1, 0, 4, 4, 2, 1, 3, 2, 4, 1, 0, 4, 1, 3, 4, 4, 1, 2, 4, 2, 2, 3, 4, 3, 4, 4, 0, 0, 3, 0, 2, 2, 0, 1, 1, 4, 3, 3, 3, 2, 0, 4, 3, 1, 3, 1, 3, 2, 1, 1, 2, 4, 0, 4, 3, 3, 0, 4, 3, 0, 0, 4, 3, 4, 2, 4, 0, 1, 1, 3, 2, 3, 3, 4, 3, 0, 1, 3, 2, 0, 4, 1, 0, 4, 4, 2, 4, 4, 0, 1, 1, 4, 2, 0, 1, 4, 4, 1, 2, 3, 2, 4, 4, 4, 2, 2, 4, 4, 1, 3, 3, 4, 0, 4, 3, 0, 4, 1, 3, 0, 3, 1, 4, 0, 4, 1, 4, 1, 2, 2, 0, 1] pubkeycol1637 = [2, 4, 1, 1, 1, 4, 4, 4, 3, 2, 0, 0, 0, 1, 1, 0, 3, 4, 3, 3, 4, 2, 4, 0, 2, 0, 1, 2, 1, 3, 3, 2, 1, 1, 0, 2, 2, 4, 4, 4, 3, 3, 0, 3, 3, 1, 4, 0, 2, 2, 0, 2, 4, 2, 2, 0, 4, 2, 0, 4, 2, 2, 4, 2, 4, 0, 1, 4, 2, 2, 2, 0, 3, 4, 2, 1, 0, 3, 2, 4, 3, 3, 3, 0, 3, 2, 3, 2, 3, 1, 4, 3, 4, 0, 3, 1, 3, 0, 2, 3, 2, 3, 3, 0, 4, 4, 1, 4, 4, 2, 0, 1, 4, 0, 4, 2, 2, 1, 2, 2, 3, 1, 1, 4, 2, 3, 1, 3, 1, 3, 2, 2, 4, 3, 2, 0, 4, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 4, 0, 0, 4, 3, 1, 1, 3, 1, 2, 3, 3, 3, 3, 0, 4, 0, 2, 0, 4, 3, 4, 0, 2, 1, 2, 1, 3, 2, 2, 3, 2, 0, 3, 0, 1, 1, 4, 1, 2, 4, 3, 1, 3, 1, 0, 2, 0, 4, 0, 1, 3, 0, 4, 1, 3, 0, 4, 4, 1, 1, 2, 1, 3, 2, 3, 2, 0, 2, 4, 3, 2, 3, 4, 4, 4, 3, 3, 2, 1, 4, 3, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 4, 1, 2, 2, 2, 3, 2, 2, 1, 4, 0, 4, 0, 3, 2, 0, 2, 0, 1, 4, 3, 2, 3, 2, 0, 4, 2, 0, 3, 2, 1, 3, 3, 0, 2, 0, 3, 3, 0, 2, 1, 3, 4, 3, 4, 3, 0, 3, 2, 3, 3, 1, 3, 0, 4, 0, 1, 4, 1, 4, 3, 4, 1, 2, 3, 4, 1, 2, 4, 0, 3, 0, 0, 4, 1, 4, 0, 0, 3, 2, 3, 3, 4, 1, 2, 3, 3, 3, 4, 4, 2, 0, 3, 1, 2, 1, 1, 3, 2, 1, 1, 2, 4, 3, 4, 0, 3, 3, 3, 0, 1, 1, 0, 0, 4, 3, 3, 0, 4, 2, 0, 0, 1, 3, 4, 4, 0, 2, 1, 0, 4, 1, 1, 3, 3, 3, 1, 4, 4, 4, 3, 4, 3, 1, 3, 1, 0, 1, 3, 3, 2, 3, 3, 2, 0, 2, 4] pubkeycol1638 = [0, 2, 1, 1, 3, 0, 4, 0, 3, 4, 2, 3, 3, 2, 3, 3, 1, 3, 1, 0, 4, 0, 3, 0, 1, 1, 2, 4, 3, 3, 1, 3, 2, 4, 3, 4, 1, 2, 4, 2, 4, 2, 2, 2, 2, 4, 2, 1, 4, 2, 2, 4, 2, 4, 0, 0, 0, 4, 0, 2, 3, 0, 0, 2, 1, 1, 2, 4, 4, 0, 1, 4, 2, 1, 1, 1, 3, 0, 4, 2, 4, 2, 2, 0, 1, 0, 4, 4, 1, 4, 2, 1, 4, 0, 1, 4, 0, 3, 4, 0, 1, 2, 4, 1, 4, 0, 3, 3, 2, 1, 2, 2, 2, 4, 2, 3, 0, 4, 2, 2, 4, 2, 0, 4, 4, 2, 1, 3, 2, 2, 0, 2, 3, 4, 0, 0, 4, 1, 1, 3, 3, 1, 3, 4, 3, 1, 2, 0, 2, 0, 4, 3, 3, 0, 2, 2, 4, 4, 0, 3, 4, 3, 0, 1, 3, 3, 0, 3, 0, 0, 0, 2, 3, 0, 0, 2, 3, 0, 1, 3, 4, 0, 4, 4, 3, 2, 1, 0, 1, 3, 0, 1, 0, 3, 3, 0, 4, 1, 4, 4, 3, 1, 3, 4, 0, 2, 3, 4, 4, 0, 3, 4, 0, 0, 0, 1, 0, 3, 2, 1, 0, 1, 3, 3, 1, 3, 2, 2, 0, 0, 4, 1, 1, 3, 2, 4, 1, 2, 4, 3, 4, 2, 0, 2, 3, 0, 0, 1, 4, 1, 3, 2, 4, 3, 2, 0, 4, 3, 1, 0, 4, 3, 3, 4, 0, 3, 0, 4, 1, 1, 0, 1, 1, 1, 2, 2, 4, 0, 1, 3, 4, 2, 0, 0, 1, 0, 2, 3, 0, 2, 1, 4, 1, 3, 4, 3, 3, 3, 4, 4, 3, 4, 1, 2, 3, 1, 0, 3, 2, 2, 2, 3, 3, 1, 1, 4, 1, 4, 0, 2, 2, 4, 4, 1, 1, 4, 0, 4, 3, 3, 2, 4, 0, 0, 1, 1, 1, 2, 0, 3, 1, 0, 0, 3, 0, 2, 1, 0, 2, 0, 3, 3, 3, 1, 3, 0, 1, 1, 0, 4, 4, 2, 2, 2, 1, 2, 3, 1, 3, 0, 1, 3, 2, 2, 4, 1, 1, 4, 0, 1, 4, 3, 2, 2, 2, 1, 4, 0, 2, 1, 0, 1, 2, 4, 3, 3, 2, 3, 1, 2] pubkeycol1639 = [1, 1, 4, 0, 1, 4, 2, 3, 0, 1, 3, 1, 1, 1, 0, 2, 2, 3, 1, 2, 2, 2, 4, 2, 1, 3, 2, 2, 0, 1, 4, 4, 2, 0, 3, 4, 4, 4, 2, 1, 0, 4, 4, 1, 2, 2, 2, 1, 1, 0, 3, 1, 2, 2, 1, 3, 4, 3, 3, 4, 1, 1, 2, 4, 3, 2, 2, 0, 2, 0, 0, 2, 2, 0, 3, 0, 1, 0, 0, 3, 3, 2, 3, 1, 4, 2, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 0, 3, 4, 4, 2, 4, 3, 1, 3, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 3, 2, 1, 0, 1, 0, 4, 4, 1, 3, 0, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 1, 0, 4, 4, 4, 4, 2, 0, 0, 1, 1, 0, 0, 3, 3, 3, 2, 2, 0, 0, 1, 0, 4, 3, 0, 1, 1, 2, 2, 3, 1, 3, 0, 4, 4, 4, 4, 0, 3, 0, 1, 0, 1, 4, 1, 3, 1, 2, 4, 3, 0, 3, 4, 2, 1, 0, 0, 3, 2, 1, 1, 2, 4, 3, 0, 0, 0, 0, 2, 3, 2, 1, 1, 0, 4, 4, 0, 3, 3, 2, 3, 0, 0, 1, 2, 3, 1, 3, 4, 0, 3, 3, 2, 2, 0, 3, 1, 0, 4, 3, 1, 4, 0, 4, 0, 2, 2, 2, 0, 2, 0, 0, 3, 2, 2, 3, 3, 3, 4, 0, 0, 0, 3, 1, 1, 0, 2, 4, 1, 4, 0, 2, 1, 3, 3, 0, 2, 0, 4, 4, 2, 2, 1, 0, 3, 4, 4, 1, 3, 2, 1, 4, 4, 0, 2, 4, 3, 2, 3, 3, 4, 1, 2, 2, 4, 3, 2, 3, 3, 4, 4, 4, 0, 4, 3, 4, 2, 3, 3, 0, 3, 0, 3, 3, 4, 3, 1, 0, 4, 1, 1, 2, 3, 2, 1, 1, 1, 2, 2, 1, 3, 1, 3, 0, 4, 1, 2, 3, 0, 0, 3, 1, 4, 0, 1, 0, 1, 4, 0, 0, 2, 4, 4, 1, 2, 0, 0, 3, 1, 0, 2, 2, 1, 3, 2, 1, 3, 2, 2, 4, 1, 4, 1, 3, 0, 0, 3, 2, 1, 2, 3, 2, 1, 2, 3, 3, 2, 3, 2, 3, 4, 2, 0] pubkeycol1640 = [0, 2, 2, 0, 3, 0, 0, 0, 4, 3, 0, 0, 1, 3, 2, 2, 4, 1, 0, 2, 0, 0, 4, 3, 3, 3, 2, 0, 2, 1, 1, 1, 2, 3, 0, 3, 4, 4, 0, 2, 3, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 4, 0, 1, 4, 2, 3, 2, 1, 4, 1, 4, 0, 0, 2, 0, 4, 4, 4, 3, 0, 3, 3, 0, 2, 0, 3, 0, 0, 2, 4, 3, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 3, 4, 3, 1, 0, 2, 2, 0, 2, 0, 1, 2, 3, 2, 0, 2, 4, 2, 2, 4, 2, 1, 0, 1, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 2, 0, 0, 1, 1, 4, 4, 1, 1, 4, 1, 3, 0, 1, 3, 3, 2, 3, 3, 3, 2, 2, 3, 4, 3, 3, 1, 0, 1, 3, 2, 1, 1, 4, 0, 0, 3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 3, 3, 0, 4, 2, 0, 4, 0, 4, 0, 0, 0, 1, 3, 2, 0, 2, 4, 0, 3, 0, 0, 1, 2, 2, 2, 0, 0, 2, 4, 1, 1, 0, 1, 1, 0, 4, 0, 3, 3, 2, 1, 1, 0, 4, 0, 1, 1, 2, 2, 1, 0, 0, 0, 3, 1, 0, 4, 4, 4, 1, 3, 4, 4, 1, 1, 4, 0, 3, 2, 0, 0, 2, 3, 4, 3, 1, 4, 0, 4, 4, 0, 3, 1, 2, 4, 1, 2, 2, 1, 2, 2, 1, 1, 3, 2, 2, 3, 0, 3, 0, 2, 2, 4, 1, 4, 2, 3, 3, 1, 4, 3, 0, 0, 0, 0, 3, 3, 1, 0, 3, 2, 1, 1, 4, 2, 2, 2, 2, 2, 2, 0, 0, 3, 0, 1, 3, 3, 0, 4, 0, 0, 0, 1, 2, 3, 1, 0, 3, 3, 0, 3, 2, 0, 1, 2, 0, 4, 3, 1, 2, 0, 3, 3, 0, 1, 3, 4, 2, 1, 3, 2, 3, 1, 0, 1, 3, 3, 2, 2, 1, 3, 2, 1, 1, 3, 1, 4, 0, 0, 2, 0, 0, 4, 1, 2, 0, 4, 4, 3, 2, 0, 3, 2, 4, 2, 1, 3, 0, 3, 2, 0, 1, 4, 2, 2, 1, 1] pubkeycol1641 = [0, 1, 3, 4, 0, 0, 4, 0, 2, 0, 0, 0, 1, 0, 4, 4, 2, 4, 3, 4, 3, 1, 1, 2, 3, 2, 1, 4, 0, 3, 0, 0, 1, 0, 2, 2, 2, 4, 3, 4, 3, 3, 1, 2, 2, 2, 4, 3, 2, 1, 4, 2, 4, 1, 1, 3, 0, 3, 4, 4, 3, 4, 3, 1, 3, 2, 3, 1, 2, 2, 4, 0, 1, 2, 3, 3, 1, 3, 4, 2, 4, 2, 3, 2, 1, 4, 1, 0, 0, 0, 0, 0, 4, 1, 1, 4, 2, 1, 3, 1, 4, 2, 0, 1, 3, 1, 1, 1, 2, 0, 0, 2, 3, 3, 4, 4, 2, 3, 2, 4, 2, 4, 2, 2, 4, 0, 0, 2, 2, 3, 4, 3, 1, 0, 3, 1, 1, 0, 1, 0, 4, 4, 0, 3, 3, 1, 1, 1, 4, 4, 4, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 4, 3, 4, 1, 3, 4, 0, 2, 4, 4, 3, 3, 0, 1, 4, 2, 3, 3, 4, 3, 1, 0, 0, 4, 4, 3, 1, 0, 3, 1, 3, 1, 2, 4, 2, 1, 1, 0, 4, 2, 3, 0, 2, 3, 4, 4, 3, 2, 0, 4, 1, 0, 0, 0, 4, 0, 1, 0, 0, 1, 1, 3, 2, 1, 4, 3, 0, 1, 3, 3, 2, 3, 3, 1, 2, 3, 3, 1, 4, 1, 2, 0, 4, 3, 2, 0, 0, 2, 3, 1, 3, 1, 4, 1, 0, 4, 4, 0, 3, 3, 0, 1, 2, 1, 4, 1, 1, 1, 3, 2, 2, 4, 2, 1, 1, 1, 3, 0, 4, 3, 2, 3, 2, 2, 4, 2, 3, 2, 0, 3, 4, 0, 1, 0, 4, 2, 4, 4, 4, 0, 3, 0, 3, 2, 4, 3, 3, 3, 2, 3, 3, 2, 2, 1, 4, 3, 3, 3, 0, 2, 3, 1, 4, 3, 0, 0, 2, 3, 0, 3, 2, 2, 4, 2, 1, 1, 1, 2, 1, 0, 3, 3, 3, 4, 4, 1, 1, 2, 2, 2, 2, 4, 0, 0, 0, 4, 2, 3, 2, 4, 0, 1, 0, 3, 4, 0, 1, 2, 3, 2, 4, 0, 1, 3, 0, 4, 3, 3, 2, 1, 3, 2, 3, 3, 2, 1, 4, 4, 3, 0, 0, 1, 1, 1, 3, 1, 3] pubkeycol1642 = [3, 0, 2, 4, 4, 0, 1, 1, 0, 0, 3, 2, 3, 3, 4, 2, 2, 3, 1, 2, 0, 3, 2, 2, 4, 4, 0, 3, 1, 0, 4, 3, 0, 4, 4, 1, 0, 1, 0, 1, 1, 4, 2, 1, 2, 4, 2, 2, 2, 4, 1, 3, 3, 3, 4, 1, 0, 1, 0, 4, 0, 4, 2, 2, 0, 2, 1, 2, 4, 0, 1, 3, 3, 0, 4, 4, 2, 3, 3, 3, 4, 0, 2, 1, 3, 4, 1, 4, 1, 2, 3, 2, 2, 3, 2, 2, 4, 3, 0, 4, 0, 1, 4, 3, 0, 3, 2, 2, 3, 0, 2, 4, 1, 1, 4, 0, 1, 3, 3, 2, 2, 1, 0, 4, 4, 3, 2, 1, 4, 4, 3, 4, 4, 1, 4, 4, 1, 2, 2, 2, 1, 4, 1, 1, 1, 0, 2, 0, 4, 1, 4, 0, 3, 3, 1, 3, 2, 1, 3, 4, 3, 0, 4, 4, 0, 3, 0, 3, 4, 4, 1, 4, 3, 0, 1, 2, 3, 1, 2, 0, 4, 1, 2, 0, 1, 3, 1, 1, 1, 4, 3, 1, 4, 4, 2, 1, 3, 4, 4, 2, 2, 3, 3, 1, 3, 1, 3, 1, 4, 3, 2, 2, 3, 0, 0, 2, 3, 0, 3, 4, 4, 1, 1, 3, 0, 0, 4, 4, 3, 1, 3, 0, 4, 2, 2, 4, 0, 0, 4, 0, 1, 3, 0, 0, 3, 2, 3, 1, 3, 3, 3, 0, 0, 0, 1, 3, 0, 4, 3, 1, 3, 2, 2, 4, 2, 4, 3, 0, 3, 3, 4, 4, 3, 0, 1, 2, 4, 3, 1, 0, 2, 2, 3, 2, 3, 1, 2, 2, 4, 3, 4, 1, 1, 2, 4, 1, 1, 1, 0, 3, 2, 3, 4, 2, 2, 3, 1, 0, 2, 4, 2, 4, 0, 1, 2, 4, 1, 4, 3, 4, 1, 1, 4, 2, 0, 4, 0, 3, 4, 2, 1, 3, 0, 3, 4, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 3, 1, 0, 1, 4, 4, 2, 2, 2, 1, 2, 1, 1, 3, 0, 4, 3, 2, 2, 0, 1, 0, 2, 2, 0, 3, 0, 1, 2, 0, 4, 1, 2, 4, 2, 3, 0, 1, 1, 1, 2, 0, 3, 3, 2, 4, 0, 2, 0] pubkeycol1643 = [0, 1, 3, 2, 3, 3, 2, 0, 4, 1, 0, 0, 4, 1, 3, 3, 2, 3, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 3, 0, 2, 1, 3, 3, 4, 2, 0, 0, 1, 0, 0, 4, 4, 4, 2, 3, 2, 4, 1, 3, 2, 0, 1, 1, 1, 4, 4, 3, 3, 1, 4, 3, 1, 3, 0, 0, 2, 4, 3, 3, 3, 0, 1, 4, 1, 0, 0, 2, 3, 0, 4, 0, 1, 4, 1, 2, 4, 1, 2, 0, 1, 0, 0, 3, 2, 1, 2, 1, 3, 3, 4, 3, 3, 4, 4, 2, 0, 0, 0, 2, 1, 1, 4, 3, 0, 2, 1, 4, 0, 0, 0, 2, 2, 0, 3, 0, 1, 3, 2, 1, 2, 1, 1, 2, 1, 3, 4, 4, 2, 2, 0, 0, 3, 4, 0, 2, 1, 2, 0, 4, 2, 4, 2, 4, 3, 1, 4, 4, 2, 2, 0, 4, 1, 4, 3, 4, 1, 1, 1, 4, 3, 1, 3, 1, 2, 2, 4, 2, 4, 0, 0, 1, 0, 4, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 4, 1, 4, 0, 0, 1, 3, 2, 3, 1, 3, 3, 2, 4, 3, 3, 0, 0, 2, 1, 2, 4, 4, 2, 2, 2, 1, 1, 2, 0, 1, 0, 3, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 3, 4, 0, 2, 4, 2, 3, 0, 1, 2, 4, 0, 4, 2, 4, 2, 1, 3, 2, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 3, 1, 3, 2, 4, 3, 1, 3, 2, 3, 0, 4, 1, 2, 4, 4, 0, 2, 0, 1, 2, 2, 3, 1, 2, 0, 4, 2, 4, 0, 3, 4, 1, 2, 0, 1, 0, 0, 4, 1, 4, 0, 1, 2, 0, 4, 0, 3, 4, 1, 4, 3, 4, 3, 1, 1, 4, 2, 4, 0, 4, 1, 1, 0, 0, 1, 2, 3, 4, 4, 3, 3, 2, 2, 2, 4, 2, 3, 4, 0, 0, 3, 4, 4, 2, 1, 0, 3, 1, 1, 2, 0, 1, 1, 4, 0, 2, 0, 4, 2, 1, 1, 2, 2, 1, 0, 3, 2, 4, 3, 0, 4, 3, 2, 4, 3, 3, 3, 2, 0, 0, 4, 3, 4, 3, 1, 3, 3, 1, 0] pubkeycol1644 = [4, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 3, 2, 2, 2, 2, 0, 4, 0, 0, 4, 0, 1, 2, 2, 1, 3, 1, 3, 2, 1, 3, 2, 0, 4, 1, 1, 4, 3, 0, 4, 3, 2, 3, 0, 2, 1, 1, 4, 0, 1, 3, 0, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 0, 4, 0, 3, 2, 1, 2, 1, 3, 0, 3, 0, 3, 2, 3, 0, 3, 4, 3, 0, 2, 3, 1, 4, 2, 2, 0, 2, 1, 1, 1, 0, 3, 3, 3, 4, 1, 0, 3, 4, 3, 4, 3, 3, 0, 3, 2, 2, 3, 4, 2, 0, 1, 2, 0, 1, 4, 0, 0, 2, 1, 2, 2, 4, 2, 0, 4, 2, 4, 4, 2, 0, 2, 3, 0, 0, 4, 1, 0, 3, 0, 2, 0, 1, 1, 3, 4, 3, 4, 4, 1, 0, 2, 3, 4, 1, 3, 1, 2, 3, 3, 4, 0, 0, 0, 3, 4, 1, 0, 1, 4, 4, 1, 4, 1, 1, 4, 2, 4, 2, 1, 1, 4, 4, 2, 1, 0, 3, 4, 1, 4, 1, 2, 3, 2, 0, 1, 1, 3, 2, 3, 0, 3, 1, 0, 3, 3, 0, 3, 2, 4, 2, 0, 4, 4, 3, 4, 4, 4, 1, 2, 4, 3, 1, 0, 0, 0, 4, 2, 2, 4, 4, 4, 0, 2, 0, 3, 3, 0, 2, 3, 4, 0, 1, 1, 2, 4, 2, 2, 3, 0, 4, 4, 0, 2, 2, 4, 1, 2, 0, 2, 1, 3, 1, 2, 0, 2, 1, 1, 4, 0, 0, 2, 0, 4, 4, 4, 1, 4, 0, 0, 3, 0, 0, 0, 1, 2, 0, 4, 2, 2, 0, 4, 4, 2, 2, 0, 4, 4, 0, 1, 0, 3, 0, 3, 2, 3, 2, 1, 0, 4, 0, 4, 2, 0, 4, 4, 4, 1, 1, 0, 0, 1, 3, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 3, 1, 4, 3, 0, 2, 1, 0, 3, 0, 2, 3, 0, 2, 2, 1, 2, 2, 2, 3, 3, 3, 1, 3, 0, 1, 0, 3, 1, 4, 0, 0, 2, 0, 0, 4, 0, 4, 2, 1, 3, 0, 2, 4, 3, 3, 4] pubkeycol1645 = [4, 3, 0, 4, 3, 1, 1, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 4, 2, 3, 4, 3, 0, 4, 2, 0, 4, 1, 2, 0, 3, 4, 3, 0, 3, 4, 3, 1, 1, 0, 2, 1, 3, 0, 4, 3, 2, 1, 4, 3, 1, 0, 4, 3, 4, 4, 0, 1, 4, 3, 2, 2, 2, 1, 1, 2, 0, 1, 4, 3, 2, 3, 1, 2, 4, 3, 1, 2, 3, 1, 3, 3, 0, 1, 2, 0, 0, 0, 3, 2, 4, 3, 4, 0, 3, 2, 4, 2, 2, 4, 4, 2, 4, 1, 2, 2, 0, 1, 2, 3, 4, 2, 0, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 4, 1, 2, 1, 4, 2, 4, 4, 0, 3, 0, 2, 1, 2, 4, 0, 0, 2, 2, 2, 0, 4, 4, 0, 1, 1, 3, 1, 3, 1, 3, 3, 0, 1, 3, 3, 4, 2, 1, 4, 0, 0, 4, 2, 3, 0, 2, 1, 0, 0, 2, 4, 1, 4, 3, 4, 4, 3, 3, 2, 0, 4, 3, 1, 1, 0, 1, 4, 0, 2, 0, 0, 0, 4, 2, 4, 2, 2, 4, 4, 4, 2, 1, 4, 3, 0, 0, 3, 4, 0, 1, 1, 2, 0, 1, 3, 3, 1, 4, 0, 2, 0, 0, 1, 1, 2, 2, 0, 3, 1, 1, 3, 1, 3, 4, 4, 4, 4, 1, 2, 1, 4, 0, 2, 1, 1, 2, 1, 0, 1, 3, 4, 4, 2, 4, 0, 3, 4, 4, 3, 4, 3, 1, 2, 2, 0, 2, 3, 3, 1, 3, 3, 4, 1, 0, 2, 1, 2, 3, 3, 2, 1, 0, 4, 3, 3, 1, 4, 4, 4, 2, 0, 2, 1, 1, 3, 3, 3, 0, 3, 1, 4, 1, 0, 1, 4, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 3, 2, 2, 1, 1, 4, 2, 4, 0, 4, 0, 3, 2, 3, 4, 3, 1, 3, 0, 3, 4, 3, 0, 0, 3, 3, 4, 3, 0, 0, 2, 0, 3, 0, 4, 3, 3, 4, 0, 2, 4, 3, 2, 1, 1, 2, 0, 3, 0, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 2, 4, 4, 4, 1, 4, 1, 4, 1, 0, 3, 1, 0, 3, 4] pubkeycol1646 = [1, 1, 1, 0, 1, 1, 1, 1, 3, 4, 3, 1, 4, 0, 4, 0, 1, 3, 2, 3, 0, 0, 2, 2, 0, 0, 3, 3, 0, 2, 1, 1, 4, 0, 0, 0, 2, 1, 4, 0, 3, 1, 3, 0, 1, 0, 1, 4, 0, 2, 0, 3, 2, 0, 3, 0, 3, 4, 0, 3, 0, 0, 0, 2, 1, 0, 2, 3, 1, 0, 2, 4, 1, 3, 1, 1, 0, 0, 1, 1, 3, 1, 0, 1, 1, 3, 4, 3, 4, 3, 1, 0, 3, 3, 1, 2, 2, 0, 4, 4, 1, 2, 3, 2, 4, 3, 2, 3, 3, 3, 3, 2, 4, 2, 0, 1, 3, 1, 3, 2, 2, 2, 3, 0, 1, 3, 3, 1, 4, 3, 1, 2, 2, 3, 4, 2, 2, 2, 3, 0, 4, 4, 3, 1, 0, 3, 3, 3, 4, 2, 1, 4, 4, 0, 3, 1, 4, 0, 4, 0, 3, 0, 1, 3, 1, 1, 0, 3, 0, 1, 2, 2, 1, 2, 4, 3, 3, 1, 1, 4, 1, 0, 1, 0, 0, 3, 0, 1, 0, 1, 4, 2, 1, 4, 4, 0, 0, 4, 4, 3, 0, 3, 4, 4, 1, 1, 0, 4, 4, 2, 4, 3, 4, 4, 0, 0, 4, 1, 2, 3, 3, 3, 3, 0, 3, 1, 4, 3, 4, 1, 4, 2, 4, 4, 3, 1, 4, 1, 1, 2, 4, 1, 3, 3, 4, 0, 0, 2, 3, 1, 2, 0, 0, 1, 0, 2, 4, 3, 1, 1, 3, 2, 4, 3, 1, 2, 0, 0, 4, 4, 2, 0, 1, 0, 3, 2, 3, 2, 2, 4, 4, 3, 4, 3, 2, 1, 0, 2, 3, 0, 0, 2, 3, 3, 1, 1, 2, 1, 3, 2, 3, 1, 4, 1, 3, 0, 1, 2, 4, 0, 1, 1, 0, 0, 2, 2, 2, 4, 2, 3, 3, 2, 0, 3, 3, 0, 2, 0, 2, 3, 3, 3, 2, 0, 2, 3, 2, 3, 2, 3, 4, 1, 3, 2, 4, 4, 1, 2, 0, 0, 4, 2, 3, 1, 2, 3, 0, 4, 0, 3, 1, 0, 1, 4, 0, 4, 3, 0, 3, 2, 4, 4, 3, 3, 0, 3, 4, 2, 3, 2, 4, 2, 4, 2, 3, 3, 4, 0, 4, 1, 3, 4, 1, 1, 4, 2, 2, 0, 2, 3] pubkeycol1647 = [3, 4, 1, 4, 2, 3, 2, 1, 3, 1, 2, 3, 3, 2, 4, 4, 2, 0, 4, 3, 0, 3, 1, 2, 4, 4, 3, 1, 1, 3, 2, 0, 4, 1, 4, 3, 3, 3, 2, 0, 0, 0, 2, 0, 0, 3, 1, 2, 1, 4, 1, 3, 3, 3, 2, 3, 4, 0, 0, 0, 2, 2, 4, 2, 2, 0, 3, 4, 2, 3, 2, 4, 0, 3, 1, 4, 4, 0, 1, 4, 1, 3, 3, 2, 4, 2, 1, 0, 1, 2, 0, 3, 1, 4, 0, 2, 4, 2, 1, 2, 4, 1, 0, 2, 3, 2, 3, 0, 0, 3, 3, 4, 2, 0, 1, 1, 4, 0, 4, 0, 0, 3, 3, 0, 1, 2, 3, 4, 4, 2, 4, 4, 2, 4, 1, 2, 1, 2, 2, 0, 4, 0, 2, 2, 3, 1, 3, 2, 0, 3, 1, 0, 2, 2, 1, 2, 2, 0, 4, 2, 0, 0, 4, 2, 2, 4, 2, 1, 0, 0, 0, 0, 0, 3, 0, 3, 1, 2, 1, 4, 1, 3, 4, 4, 2, 0, 3, 0, 1, 3, 2, 2, 0, 0, 4, 3, 1, 0, 3, 4, 2, 3, 3, 2, 1, 3, 3, 1, 4, 4, 1, 2, 1, 0, 1, 2, 1, 2, 3, 2, 2, 0, 3, 3, 1, 3, 0, 2, 4, 1, 4, 1, 0, 0, 4, 0, 1, 0, 3, 2, 1, 0, 2, 4, 4, 4, 1, 0, 0, 3, 3, 1, 3, 0, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 3, 0, 2, 4, 1, 0, 3, 0, 2, 4, 1, 2, 4, 2, 0, 4, 2, 2, 3, 3, 0, 1, 0, 3, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 3, 1, 1, 2, 2, 4, 1, 1, 2, 0, 3, 4, 2, 2, 0, 1, 0, 2, 4, 1, 2, 1, 2, 3, 2, 4, 0, 4, 1, 3, 1, 2, 4, 0, 4, 4, 2, 4, 4, 1, 0, 3, 4, 3, 2, 3, 2, 2, 1, 0, 0, 1, 0, 2, 3, 2, 0, 4, 0, 2, 1, 4, 1, 1, 1, 0, 3, 1, 0, 1, 4, 0, 4, 4, 3, 2, 3, 2, 3, 2, 4, 1, 2, 1, 4, 1, 4, 3, 0, 0, 2, 3, 0, 3, 1, 3, 2, 1, 2, 3, 2, 0] pubkeycol1648 = [4, 2, 3, 3, 0, 3, 0, 1, 1, 3, 4, 3, 3, 2, 2, 3, 1, 0, 0, 2, 1, 4, 1, 3, 4, 2, 3, 2, 4, 3, 1, 3, 4, 2, 1, 1, 0, 1, 1, 0, 1, 0, 3, 4, 3, 2, 3, 0, 4, 1, 3, 1, 2, 3, 4, 4, 2, 0, 0, 0, 1, 1, 0, 0, 4, 1, 1, 1, 1, 4, 2, 1, 0, 2, 3, 4, 1, 1, 3, 1, 4, 1, 1, 4, 2, 4, 3, 2, 0, 3, 0, 4, 4, 4, 2, 3, 2, 1, 2, 0, 2, 4, 0, 1, 1, 4, 0, 4, 2, 0, 4, 2, 2, 1, 4, 1, 3, 1, 1, 2, 1, 4, 0, 3, 0, 2, 2, 4, 2, 1, 3, 4, 0, 0, 4, 1, 3, 1, 0, 4, 0, 1, 1, 3, 4, 0, 4, 0, 2, 0, 2, 4, 3, 4, 0, 1, 1, 2, 2, 4, 1, 4, 1, 2, 1, 0, 2, 2, 0, 4, 4, 3, 0, 2, 1, 3, 1, 3, 2, 1, 2, 4, 0, 0, 2, 3, 3, 2, 3, 2, 2, 2, 2, 4, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 4, 0, 1, 1, 4, 2, 1, 4, 2, 0, 2, 2, 4, 2, 1, 2, 1, 0, 1, 0, 1, 3, 0, 2, 2, 2, 4, 2, 0, 2, 0, 3, 1, 4, 1, 3, 0, 1, 3, 4, 3, 2, 3, 3, 1, 0, 3, 2, 0, 2, 1, 0, 0, 0, 2, 0, 4, 4, 4, 3, 4, 4, 3, 0, 3, 3, 0, 1, 4, 4, 3, 4, 0, 4, 3, 4, 4, 2, 4, 2, 2, 1, 2, 0, 4, 4, 1, 4, 2, 4, 1, 2, 2, 3, 2, 0, 2, 0, 4, 2, 2, 1, 1, 3, 3, 0, 0, 2, 0, 1, 2, 4, 4, 0, 1, 2, 3, 1, 0, 2, 1, 3, 0, 3, 1, 2, 2, 1, 4, 4, 4, 3, 1, 4, 3, 0, 1, 3, 4, 1, 1, 3, 2, 3, 2, 2, 0, 3, 3, 4, 2, 2, 3, 4, 2, 0, 1, 3, 3, 0, 1, 2, 2, 2, 0, 1, 2, 1, 3, 3, 3, 2, 4, 4, 3, 4, 3, 2, 3, 2, 3, 1, 0, 2, 4, 4, 4, 1, 4, 1, 0, 0, 0, 2, 0, 3] pubkeycol1649 = [3, 0, 3, 3, 0, 4, 3, 0, 0, 2, 4, 1, 4, 2, 4, 4, 3, 0, 4, 2, 1, 0, 4, 2, 3, 2, 0, 3, 0, 2, 2, 4, 1, 1, 2, 3, 1, 4, 4, 3, 4, 2, 0, 2, 1, 3, 1, 4, 3, 0, 2, 4, 4, 1, 4, 2, 2, 0, 1, 4, 3, 1, 3, 3, 1, 3, 2, 4, 4, 3, 1, 2, 2, 3, 4, 4, 4, 1, 2, 1, 2, 2, 4, 2, 3, 4, 2, 3, 0, 1, 0, 4, 4, 4, 2, 0, 2, 3, 3, 1, 3, 4, 3, 3, 3, 3, 4, 0, 3, 3, 2, 1, 4, 2, 3, 0, 2, 4, 4, 3, 1, 0, 4, 3, 4, 1, 2, 2, 1, 0, 3, 1, 4, 4, 2, 4, 0, 4, 0, 2, 1, 3, 2, 3, 3, 2, 2, 0, 1, 3, 4, 3, 4, 1, 4, 2, 3, 3, 2, 1, 4, 0, 3, 3, 3, 1, 1, 3, 2, 3, 0, 3, 1, 3, 2, 0, 1, 4, 3, 0, 2, 0, 0, 2, 4, 4, 2, 3, 3, 1, 1, 2, 1, 0, 2, 4, 4, 0, 1, 4, 0, 2, 4, 4, 0, 2, 3, 1, 2, 0, 2, 4, 1, 0, 1, 1, 2, 1, 0, 3, 0, 0, 1, 1, 0, 0, 2, 2, 3, 3, 3, 2, 3, 4, 2, 2, 0, 3, 1, 0, 1, 1, 1, 0, 4, 0, 3, 1, 3, 4, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 4, 0, 2, 3, 2, 4, 1, 1, 2, 4, 0, 1, 0, 3, 4, 4, 2, 0, 0, 0, 4, 3, 4, 3, 1, 4, 1, 1, 0, 4, 4, 4, 0, 2, 0, 3, 0, 4, 4, 1, 0, 4, 2, 2, 3, 2, 2, 3, 3, 2, 2, 4, 2, 0, 3, 4, 0, 3, 4, 1, 4, 1, 1, 0, 0, 3, 1, 4, 4, 1, 4, 0, 2, 4, 0, 1, 0, 3, 4, 0, 1, 2, 1, 3, 0, 4, 0, 1, 1, 1, 0, 3, 4, 2, 0, 1, 4, 3, 0, 0, 3, 1, 3, 0, 2, 2, 0, 3, 3, 0, 3, 4, 0, 1, 1, 4, 3, 3, 1, 0, 4, 1, 4, 0, 3, 3, 3, 4, 2, 2, 1, 1, 2, 3, 1] pubkeycol1650 = [1, 4, 0, 3, 1, 1, 0, 2, 4, 0, 0, 1, 1, 1, 1, 3, 2, 2, 4, 3, 2, 1, 1, 0, 0, 0, 3, 1, 3, 4, 3, 3, 4, 3, 3, 3, 2, 1, 0, 4, 2, 4, 2, 1, 3, 2, 3, 4, 2, 3, 0, 1, 4, 2, 2, 1, 4, 4, 3, 2, 1, 2, 1, 0, 3, 0, 3, 3, 1, 3, 1, 1, 2, 0, 1, 4, 2, 4, 3, 2, 3, 4, 1, 0, 1, 3, 4, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 3, 1, 0, 0, 3, 1, 2, 2, 1, 3, 1, 4, 4, 4, 2, 1, 0, 1, 0, 1, 0, 3, 3, 3, 2, 3, 3, 3, 0, 2, 4, 1, 2, 4, 2, 3, 1, 3, 3, 2, 4, 1, 3, 4, 0, 4, 3, 2, 1, 1, 3, 3, 3, 3, 2, 4, 1, 0, 4, 4, 4, 3, 0, 0, 0, 1, 4, 1, 3, 1, 3, 4, 4, 3, 2, 2, 1, 0, 3, 1, 2, 1, 1, 3, 3, 3, 4, 3, 1, 3, 2, 3, 1, 3, 0, 2, 0, 4, 4, 1, 2, 1, 1, 0, 2, 3, 0, 2, 3, 3, 1, 2, 0, 0, 0, 1, 0, 0, 4, 4, 3, 0, 2, 2, 3, 0, 0, 0, 2, 0, 3, 2, 3, 2, 0, 2, 3, 1, 2, 1, 3, 0, 1, 1, 0, 1, 4, 1, 3, 1, 3, 0, 0, 0, 0, 2, 3, 0, 0, 4, 0, 2, 4, 0, 4, 0, 3, 4, 1, 0, 4, 1, 3, 2, 4, 4, 1, 2, 4, 1, 4, 3, 4, 4, 2, 3, 3, 2, 3, 1, 1, 2, 1, 0, 4, 2, 3, 2, 4, 0, 2, 2, 1, 0, 0, 3, 3, 2, 0, 0, 2, 0, 4, 0, 4, 1, 1, 1, 3, 4, 0, 0, 4, 2, 3, 1, 1, 4, 4, 4, 4, 2, 4, 3, 3, 0, 4, 4, 0, 0, 2, 0, 4, 1, 1, 1, 4, 0, 2, 1, 0, 4, 4, 2, 0, 4, 3, 3, 3, 0, 2, 3, 1, 2, 0, 1, 1, 4, 1, 1, 4, 3, 3, 1, 3, 4, 4, 0, 2, 0, 0, 2, 1, 3, 0, 2, 1, 3, 4, 0, 3, 1, 2, 0, 0, 3, 0, 0, 2, 4, 4, 3, 2] pubkeycol1651 = [2, 4, 1, 0, 1, 0, 1, 0, 4, 1, 0, 3, 1, 3, 4, 3, 1, 2, 2, 4, 0, 0, 0, 0, 1, 4, 3, 3, 4, 2, 1, 0, 4, 1, 4, 0, 4, 3, 4, 1, 2, 3, 4, 4, 0, 3, 0, 0, 0, 3, 0, 4, 3, 3, 2, 3, 2, 4, 0, 3, 3, 3, 2, 0, 3, 4, 4, 1, 2, 1, 1, 2, 4, 3, 0, 3, 2, 2, 3, 0, 2, 4, 0, 1, 4, 4, 0, 0, 3, 2, 0, 4, 3, 3, 2, 0, 0, 1, 0, 2, 3, 1, 0, 1, 2, 3, 1, 1, 4, 1, 3, 0, 4, 0, 1, 3, 4, 4, 1, 3, 4, 2, 0, 0, 3, 4, 2, 3, 3, 1, 3, 1, 3, 3, 3, 2, 3, 4, 4, 4, 0, 4, 0, 0, 2, 1, 3, 2, 4, 0, 2, 1, 0, 1, 1, 4, 3, 0, 4, 2, 1, 3, 3, 0, 0, 3, 1, 1, 3, 1, 0, 1, 1, 2, 4, 0, 1, 4, 4, 0, 0, 3, 0, 2, 3, 4, 3, 2, 0, 1, 2, 0, 2, 1, 1, 4, 3, 1, 1, 0, 0, 1, 3, 3, 4, 0, 0, 3, 1, 4, 4, 0, 4, 2, 0, 4, 2, 4, 4, 1, 1, 2, 3, 4, 4, 0, 0, 3, 1, 4, 2, 4, 0, 3, 4, 0, 0, 3, 4, 1, 3, 2, 3, 3, 1, 2, 2, 3, 4, 2, 4, 3, 2, 4, 4, 3, 4, 4, 4, 1, 3, 0, 4, 4, 4, 3, 3, 1, 1, 2, 3, 0, 0, 2, 1, 0, 3, 0, 3, 1, 2, 0, 0, 0, 0, 4, 1, 0, 1, 0, 4, 0, 4, 4, 3, 2, 0, 3, 1, 3, 1, 0, 2, 3, 0, 4, 1, 4, 3, 1, 3, 4, 2, 0, 1, 1, 3, 0, 3, 1, 4, 3, 1, 0, 2, 2, 3, 2, 2, 4, 3, 0, 2, 0, 1, 1, 1, 1, 1, 2, 4, 2, 1, 0, 4, 4, 3, 0, 2, 4, 0, 4, 4, 4, 3, 2, 0, 2, 3, 4, 3, 1, 1, 2, 1, 1, 0, 4, 0, 0, 4, 0, 2, 2, 1, 1, 1, 2, 2, 4, 0, 1, 3, 0, 2, 3, 2, 0, 2, 4, 3, 1, 0, 2, 0, 3, 2, 4, 1, 4] pubkeycol1652 = [1, 2, 3, 3, 1, 4, 2, 0, 4, 2, 2, 1, 2, 2, 2, 0, 2, 4, 0, 0, 3, 2, 3, 0, 3, 3, 1, 0, 2, 4, 2, 0, 1, 4, 3, 0, 3, 3, 1, 4, 0, 1, 4, 3, 1, 0, 1, 0, 1, 0, 2, 3, 0, 3, 1, 1, 3, 1, 2, 4, 4, 1, 1, 4, 3, 3, 4, 2, 0, 0, 2, 1, 4, 4, 3, 1, 3, 2, 2, 1, 2, 4, 4, 0, 3, 2, 2, 3, 1, 3, 4, 4, 0, 1, 0, 1, 1, 4, 4, 4, 3, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 4, 0, 0, 2, 4, 4, 1, 3, 3, 4, 0, 4, 2, 4, 3, 4, 4, 2, 2, 1, 2, 4, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 3, 0, 2, 3, 4, 0, 2, 1, 2, 4, 0, 1, 3, 1, 3, 3, 0, 2, 3, 1, 0, 0, 0, 4, 1, 2, 4, 3, 3, 3, 0, 4, 4, 0, 1, 0, 3, 0, 4, 3, 3, 4, 3, 0, 2, 1, 2, 0, 1, 4, 1, 0, 2, 2, 2, 1, 3, 1, 0, 0, 3, 0, 1, 4, 0, 2, 2, 4, 0, 1, 0, 1, 4, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 4, 1, 2, 0, 1, 1, 0, 3, 3, 2, 1, 0, 3, 2, 0, 4, 0, 4, 0, 3, 0, 4, 0, 0, 1, 1, 1, 3, 1, 0, 0, 1, 0, 4, 3, 1, 2, 2, 4, 3, 4, 4, 0, 2, 2, 0, 3, 4, 1, 1, 0, 2, 1, 0, 3, 0, 0, 0, 2, 3, 2, 4, 3, 4, 4, 0, 3, 4, 0, 3, 2, 2, 0, 4, 1, 4, 4, 3, 1, 1, 4, 3, 4, 2, 0, 1, 2, 3, 2, 2, 4, 4, 1, 3, 1, 3, 2, 4, 4, 0, 0, 0, 0, 1, 0, 3, 2, 0, 3, 1, 1, 0, 0, 4, 0, 1, 3, 4, 3, 1, 1, 3, 2, 1, 2, 1, 3, 3, 1, 1, 1, 0, 3, 2, 2, 4, 3, 4, 1, 1, 1, 3, 1, 2, 3, 4, 2, 3, 2, 2, 1, 3, 4, 3, 3, 0, 4, 2, 0, 3, 1, 2, 0, 4, 4, 1, 3, 1, 4, 2] pubkeycol1653 = [2, 0, 4, 3, 1, 2, 0, 0, 0, 3, 3, 0, 0, 2, 0, 1, 2, 4, 1, 0, 4, 3, 3, 3, 0, 3, 4, 0, 0, 0, 1, 0, 0, 4, 0, 2, 1, 1, 0, 1, 3, 4, 4, 4, 2, 1, 2, 4, 4, 4, 0, 0, 2, 1, 1, 0, 4, 2, 3, 4, 2, 4, 0, 3, 3, 0, 3, 4, 1, 2, 2, 3, 4, 4, 1, 3, 0, 3, 1, 1, 4, 2, 4, 1, 4, 0, 1, 2, 2, 4, 3, 4, 1, 1, 3, 1, 4, 1, 2, 4, 0, 0, 4, 4, 2, 4, 2, 2, 2, 3, 1, 4, 2, 2, 1, 1, 1, 4, 4, 0, 4, 2, 0, 4, 0, 2, 1, 4, 3, 4, 2, 3, 2, 3, 4, 4, 0, 0, 4, 1, 1, 1, 4, 3, 2, 4, 4, 1, 4, 0, 2, 0, 0, 4, 0, 4, 4, 0, 3, 4, 0, 4, 0, 1, 1, 3, 0, 1, 0, 4, 4, 1, 3, 1, 0, 4, 4, 3, 2, 2, 4, 0, 1, 0, 1, 2, 2, 0, 2, 4, 3, 0, 0, 2, 3, 1, 1, 3, 1, 2, 1, 2, 4, 0, 0, 3, 2, 3, 4, 2, 1, 1, 4, 2, 0, 4, 3, 1, 3, 0, 0, 3, 4, 2, 1, 4, 1, 4, 1, 2, 1, 3, 4, 3, 4, 3, 1, 0, 0, 1, 2, 0, 2, 1, 1, 4, 4, 0, 3, 0, 0, 1, 2, 2, 0, 3, 2, 1, 2, 0, 0, 4, 3, 3, 4, 0, 1, 1, 2, 3, 1, 0, 4, 1, 0, 4, 2, 4, 4, 1, 0, 1, 0, 3, 2, 3, 1, 1, 4, 3, 4, 0, 0, 1, 0, 3, 3, 1, 3, 4, 0, 1, 4, 4, 3, 4, 3, 0, 1, 3, 0, 4, 0, 1, 4, 0, 4, 2, 2, 1, 4, 1, 0, 3, 4, 3, 0, 1, 3, 0, 4, 3, 2, 4, 4, 0, 0, 4, 0, 0, 1, 3, 0, 4, 2, 2, 0, 1, 0, 0, 2, 1, 3, 4, 1, 2, 4, 1, 3, 0, 3, 0, 4, 0, 1, 4, 3, 2, 0, 1, 1, 1, 4, 4, 3, 1, 3, 3, 1, 0, 2, 0, 1, 3, 4, 1, 4, 2, 3, 3, 3, 0, 4, 2, 2, 1, 1, 4, 1, 0] pubkeycol1654 = [4, 4, 4, 3, 3, 3, 4, 3, 2, 4, 3, 4, 1, 0, 2, 4, 3, 3, 2, 1, 3, 2, 2, 1, 2, 0, 1, 3, 0, 4, 0, 0, 2, 2, 2, 3, 0, 4, 1, 4, 4, 2, 4, 0, 3, 0, 1, 2, 2, 0, 3, 4, 0, 3, 4, 4, 1, 0, 1, 0, 0, 0, 1, 2, 4, 1, 3, 4, 3, 3, 2, 3, 0, 3, 2, 0, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 2, 4, 1, 3, 4, 1, 0, 1, 3, 3, 0, 1, 4, 3, 1, 2, 0, 1, 2, 3, 0, 4, 3, 4, 4, 2, 2, 3, 4, 3, 2, 3, 4, 0, 2, 0, 2, 4, 1, 1, 3, 4, 0, 0, 4, 2, 2, 1, 3, 3, 0, 0, 3, 4, 3, 3, 3, 3, 4, 0, 0, 0, 4, 4, 1, 0, 1, 3, 1, 4, 4, 2, 0, 0, 1, 1, 0, 2, 4, 1, 4, 2, 0, 3, 4, 0, 4, 3, 0, 1, 2, 2, 4, 0, 3, 0, 2, 4, 2, 4, 3, 3, 3, 3, 1, 0, 3, 0, 0, 4, 0, 1, 4, 2, 4, 3, 4, 3, 2, 0, 0, 2, 2, 4, 2, 2, 3, 3, 2, 4, 2, 4, 4, 0, 1, 3, 2, 0, 2, 0, 1, 0, 2, 4, 2, 2, 0, 4, 1, 0, 4, 0, 4, 3, 0, 3, 1, 1, 4, 3, 2, 1, 0, 0, 4, 0, 3, 4, 4, 3, 4, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 4, 4, 0, 3, 0, 3, 1, 4, 3, 1, 0, 0, 0, 4, 2, 0, 1, 3, 3, 0, 1, 4, 1, 1, 3, 0, 0, 0, 1, 1, 4, 1, 4, 1, 2, 4, 0, 3, 3, 3, 0, 4, 2, 4, 3, 3, 2, 0, 2, 4, 4, 0, 4, 1, 2, 3, 1, 0, 4, 4, 0, 0, 4, 0, 3, 4, 2, 1, 2, 4, 3, 3, 1, 0, 4, 3, 2, 0, 3, 3, 2, 2, 3, 4, 3, 4, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 4, 0, 4, 3, 1, 2, 3, 0, 4, 1, 0, 4, 2, 3, 1, 1, 2, 0, 1, 3, 2, 0, 0, 1, 2, 0, 1, 3, 1, 3, 1, 2, 0] pubkeycol1655 = [2, 1, 3, 4, 0, 2, 4, 1, 1, 2, 1, 4, 3, 0, 1, 0, 2, 2, 2, 0, 0, 3, 1, 1, 4, 1, 3, 2, 0, 4, 0, 1, 2, 3, 3, 2, 4, 3, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 2, 2, 4, 1, 2, 2, 3, 4, 1, 1, 1, 0, 3, 4, 0, 2, 1, 1, 3, 2, 0, 1, 4, 1, 3, 3, 2, 4, 4, 1, 4, 4, 2, 3, 4, 1, 1, 4, 0, 4, 1, 3, 4, 2, 1, 3, 0, 3, 1, 1, 3, 4, 4, 1, 0, 4, 0, 1, 0, 0, 2, 0, 3, 2, 4, 4, 0, 4, 4, 0, 4, 1, 2, 4, 1, 1, 1, 0, 4, 3, 0, 3, 3, 1, 3, 3, 1, 0, 0, 3, 3, 1, 2, 4, 3, 4, 4, 2, 2, 1, 4, 2, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 3, 2, 3, 0, 2, 4, 4, 3, 1, 2, 0, 4, 0, 4, 2, 4, 2, 4, 0, 3, 4, 1, 2, 1, 0, 3, 3, 3, 2, 3, 2, 0, 1, 3, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 4, 3, 3, 4, 3, 2, 3, 4, 1, 2, 3, 1, 1, 0, 0, 0, 1, 1, 1, 4, 1, 1, 3, 0, 4, 0, 0, 0, 4, 4, 4, 3, 1, 4, 1, 1, 3, 3, 0, 3, 0, 0, 3, 2, 0, 0, 4, 4, 1, 1, 3, 1, 0, 4, 2, 1, 4, 3, 3, 3, 0, 0, 3, 0, 2, 1, 4, 0, 3, 2, 3, 1, 3, 1, 2, 3, 0, 3, 2, 4, 0, 1, 1, 2, 1, 2, 4, 4, 3, 0, 3, 4, 0, 0, 0, 3, 2, 2, 2, 1, 4, 0, 4, 0, 3, 4, 4, 2, 2, 2, 4, 3, 0, 2, 0, 0, 2, 4, 3, 2, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 4, 0, 4, 4, 0, 1, 3, 4, 3, 4, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 4, 2, 4, 1, 3, 4, 3, 4, 3, 2, 2, 3, 4, 2, 4, 4, 2, 3, 2, 4, 3, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 3, 2, 2, 4, 2, 3, 3, 2, 0, 3, 4] pubkeycol1656 = [0, 3, 0, 4, 2, 2, 4, 2, 4, 4, 0, 2, 2, 3, 0, 2, 3, 1, 1, 2, 1, 0, 3, 3, 1, 0, 3, 1, 2, 4, 3, 1, 3, 2, 0, 0, 1, 0, 3, 3, 2, 4, 2, 4, 0, 4, 1, 2, 3, 3, 4, 3, 0, 3, 4, 1, 4, 3, 2, 1, 0, 4, 4, 4, 3, 0, 3, 1, 4, 2, 2, 2, 2, 2, 3, 4, 2, 2, 2, 3, 0, 4, 1, 2, 3, 0, 0, 0, 2, 2, 2, 3, 2, 2, 0, 4, 4, 0, 4, 1, 3, 3, 1, 1, 3, 0, 2, 0, 1, 1, 3, 2, 0, 2, 2, 0, 4, 2, 2, 4, 1, 3, 4, 2, 1, 1, 2, 2, 0, 0, 0, 4, 2, 4, 3, 4, 1, 0, 4, 3, 0, 0, 2, 3, 4, 1, 1, 4, 4, 0, 2, 3, 4, 2, 0, 4, 2, 3, 0, 4, 1, 0, 1, 3, 4, 3, 2, 1, 2, 3, 3, 2, 3, 2, 3, 1, 4, 0, 3, 4, 2, 1, 3, 1, 1, 0, 1, 4, 1, 0, 4, 3, 0, 4, 4, 1, 2, 1, 2, 4, 2, 1, 0, 1, 4, 1, 4, 4, 4, 2, 4, 3, 0, 0, 2, 1, 4, 0, 4, 0, 1, 0, 4, 0, 0, 3, 4, 1, 1, 1, 1, 1, 3, 1, 0, 4, 0, 3, 3, 1, 3, 1, 2, 1, 1, 4, 2, 0, 1, 3, 4, 2, 2, 2, 4, 2, 1, 0, 0, 2, 3, 4, 4, 4, 2, 4, 0, 3, 0, 3, 4, 1, 1, 4, 2, 2, 0, 0, 2, 2, 0, 3, 0, 3, 3, 0, 0, 3, 3, 4, 0, 2, 1, 0, 1, 4, 3, 1, 0, 0, 1, 2, 2, 3, 4, 4, 2, 3, 2, 4, 4, 1, 1, 0, 3, 4, 2, 1, 0, 0, 2, 0, 4, 4, 3, 4, 4, 4, 1, 1, 4, 2, 2, 2, 0, 3, 4, 4, 0, 3, 2, 2, 3, 3, 3, 1, 0, 0, 1, 0, 0, 0, 4, 4, 4, 1, 0, 2, 1, 4, 0, 3, 3, 0, 0, 1, 4, 2, 4, 3, 2, 2, 0, 2, 3, 1, 3, 1, 2, 2, 0, 1, 4, 1, 1, 1, 1, 3, 4, 4, 3, 3, 2, 1, 1, 0, 2, 4, 2, 2] pubkeycol1657 = [3, 4, 3, 4, 4, 1, 4, 0, 4, 1, 2, 3, 1, 4, 2, 3, 4, 2, 0, 3, 2, 1, 4, 1, 2, 2, 0, 0, 3, 4, 0, 3, 2, 1, 3, 4, 3, 4, 4, 2, 4, 2, 0, 2, 3, 4, 2, 3, 1, 1, 2, 3, 4, 4, 1, 3, 1, 0, 3, 3, 3, 1, 2, 4, 2, 0, 4, 4, 3, 4, 1, 2, 0, 2, 1, 1, 3, 1, 0, 1, 3, 3, 3, 1, 4, 0, 3, 0, 0, 4, 2, 2, 3, 2, 1, 2, 2, 3, 4, 4, 1, 4, 0, 3, 0, 1, 4, 4, 3, 1, 2, 0, 4, 3, 4, 2, 4, 3, 4, 2, 4, 4, 4, 2, 2, 1, 2, 3, 3, 0, 0, 1, 1, 2, 3, 3, 3, 3, 2, 0, 4, 4, 0, 3, 0, 3, 1, 1, 4, 1, 0, 1, 1, 3, 0, 0, 1, 0, 2, 0, 4, 0, 2, 2, 4, 3, 0, 4, 4, 4, 3, 2, 1, 1, 4, 2, 4, 4, 0, 3, 3, 0, 0, 0, 2, 1, 4, 3, 2, 3, 2, 1, 0, 1, 0, 0, 0, 3, 3, 0, 1, 3, 0, 2, 0, 0, 3, 0, 0, 2, 2, 0, 4, 2, 2, 4, 0, 4, 1, 4, 2, 3, 3, 1, 4, 1, 0, 2, 0, 4, 0, 0, 2, 4, 1, 0, 2, 4, 1, 1, 0, 2, 0, 4, 3, 3, 3, 3, 2, 0, 3, 4, 3, 1, 4, 1, 0, 1, 1, 4, 2, 4, 0, 4, 3, 1, 3, 4, 1, 3, 3, 0, 3, 3, 4, 0, 2, 4, 4, 3, 4, 0, 2, 4, 1, 4, 3, 3, 2, 1, 4, 4, 4, 1, 2, 2, 3, 3, 1, 2, 1, 0, 4, 3, 1, 2, 4, 0, 2, 3, 4, 4, 2, 1, 0, 4, 3, 3, 1, 2, 2, 4, 3, 3, 0, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 3, 0, 0, 2, 1, 3, 3, 4, 3, 2, 0, 0, 2, 4, 2, 4, 1, 2, 4, 2, 2, 2, 3, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 4, 4, 4, 0, 1, 0, 0, 4, 3, 3, 1, 3, 4, 3, 4, 4, 3, 2, 0, 4, 0, 2, 3, 3, 0, 2, 4, 4, 1, 3, 4] pubkeycol1658 = [3, 4, 2, 3, 4, 2, 1, 0, 4, 3, 2, 4, 1, 1, 4, 1, 2, 1, 0, 0, 4, 3, 4, 2, 4, 1, 2, 0, 3, 4, 3, 1, 0, 1, 0, 2, 2, 3, 1, 4, 1, 0, 3, 4, 1, 1, 3, 4, 1, 2, 3, 0, 0, 1, 1, 1, 2, 4, 3, 0, 0, 4, 3, 0, 1, 0, 1, 1, 2, 4, 0, 2, 2, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 3, 1, 4, 0, 1, 3, 1, 1, 1, 1, 1, 4, 2, 4, 4, 0, 1, 1, 2, 2, 3, 0, 4, 4, 1, 0, 2, 4, 2, 2, 1, 0, 2, 3, 1, 0, 2, 2, 0, 3, 4, 2, 0, 3, 2, 1, 0, 3, 3, 0, 1, 0, 0, 1, 4, 2, 0, 4, 2, 4, 1, 2, 2, 4, 1, 2, 0, 4, 1, 3, 4, 0, 0, 1, 3, 3, 3, 1, 0, 2, 0, 0, 4, 2, 4, 0, 4, 1, 0, 0, 4, 1, 0, 1, 4, 1, 0, 4, 0, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 3, 4, 1, 3, 4, 0, 0, 4, 0, 2, 3, 0, 3, 1, 4, 4, 2, 4, 0, 0, 0, 1, 4, 2, 0, 2, 0, 4, 3, 4, 2, 3, 1, 3, 1, 0, 0, 0, 3, 1, 3, 0, 3, 0, 1, 2, 4, 2, 0, 0, 3, 1, 1, 2, 3, 1, 2, 4, 2, 0, 4, 0, 1, 1, 1, 2, 4, 1, 3, 1, 3, 2, 2, 3, 0, 2, 4, 3, 4, 1, 1, 4, 1, 0, 2, 0, 4, 4, 1, 3, 3, 4, 0, 2, 3, 3, 2, 1, 0, 1, 2, 1, 1, 3, 4, 2, 1, 4, 3, 0, 0, 3, 0, 3, 3, 0, 1, 1, 1, 1, 0, 1, 2, 4, 4, 1, 4, 4, 3, 1, 4, 4, 4, 0, 4, 1, 1, 4, 1, 1, 1, 2, 2, 2, 4, 4, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 1, 3, 2, 1, 4, 3, 3, 0, 1, 4, 1, 1, 2, 2, 3, 0, 2, 0, 0, 4, 4, 0, 4, 2, 2, 4, 3, 4, 2, 2, 0, 3, 3, 3, 4, 2, 2, 4, 1, 3, 3, 4, 0, 1, 0, 2, 3, 3, 3, 2, 4] pubkeycol1659 = [4, 3, 2, 3, 0, 3, 2, 0, 0, 2, 0, 1, 2, 1, 0, 3, 2, 0, 3, 4, 3, 1, 4, 0, 0, 3, 1, 1, 1, 3, 2, 0, 3, 2, 0, 4, 2, 2, 4, 0, 2, 3, 4, 3, 3, 4, 4, 2, 4, 0, 1, 3, 2, 3, 2, 4, 0, 4, 1, 1, 3, 0, 1, 3, 4, 4, 3, 1, 0, 1, 1, 4, 0, 3, 2, 3, 1, 2, 4, 1, 1, 3, 2, 0, 2, 3, 4, 3, 0, 3, 0, 4, 3, 4, 2, 0, 0, 0, 0, 4, 4, 0, 1, 0, 2, 4, 3, 3, 1, 4, 3, 2, 3, 2, 1, 2, 0, 4, 0, 1, 3, 1, 3, 1, 3, 2, 1, 1, 3, 3, 2, 4, 2, 1, 1, 3, 0, 1, 0, 4, 3, 4, 2, 2, 1, 2, 3, 3, 0, 4, 1, 4, 4, 1, 3, 3, 1, 2, 2, 1, 4, 2, 4, 3, 4, 0, 0, 4, 3, 0, 2, 1, 2, 1, 1, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 0, 0, 3, 3, 4, 2, 1, 4, 4, 2, 0, 0, 4, 4, 3, 2, 1, 4, 3, 1, 3, 2, 4, 3, 0, 3, 3, 0, 1, 1, 3, 0, 1, 3, 3, 1, 2, 0, 0, 3, 3, 4, 1, 3, 0, 0, 1, 3, 3, 2, 3, 4, 3, 0, 4, 3, 2, 1, 4, 1, 1, 4, 1, 3, 2, 4, 3, 2, 1, 4, 2, 2, 2, 0, 1, 3, 3, 2, 1, 4, 2, 4, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 3, 4, 4, 0, 3, 3, 0, 3, 3, 2, 1, 1, 0, 2, 1, 3, 1, 3, 1, 2, 0, 4, 1, 1, 3, 1, 4, 2, 1, 2, 3, 4, 3, 1, 2, 3, 3, 0, 4, 0, 3, 2, 1, 4, 3, 1, 1, 0, 3, 1, 4, 1, 2, 2, 3, 4, 4, 2, 1, 2, 3, 4, 2, 3, 3, 3, 2, 4, 3, 3, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 1, 4, 3, 0, 1, 4, 2, 0, 3, 2, 3, 2, 1, 1, 0, 4, 3, 2, 2, 4, 4, 3, 0, 2, 2, 0, 4, 2, 0, 3, 3, 3, 3, 4, 2, 2, 4, 2, 1, 4, 4] pubkeycol1660 = [3, 1, 3, 0, 1, 2, 4, 4, 1, 2, 0, 1, 3, 4, 4, 4, 3, 2, 3, 2, 4, 1, 4, 3, 2, 4, 2, 2, 2, 0, 0, 1, 0, 4, 1, 3, 3, 2, 1, 0, 0, 2, 0, 2, 4, 2, 2, 2, 2, 2, 4, 4, 3, 0, 2, 4, 1, 1, 0, 2, 0, 2, 1, 1, 3, 3, 2, 2, 0, 4, 4, 2, 3, 2, 3, 2, 2, 1, 4, 4, 0, 1, 1, 0, 4, 1, 3, 3, 0, 0, 1, 0, 3, 1, 1, 2, 1, 4, 0, 0, 3, 3, 1, 4, 2, 0, 2, 0, 2, 3, 3, 2, 3, 1, 4, 1, 3, 4, 2, 2, 4, 0, 3, 1, 3, 4, 1, 1, 2, 3, 1, 3, 2, 4, 0, 3, 1, 4, 4, 3, 2, 3, 3, 2, 3, 3, 2, 4, 3, 0, 1, 4, 2, 0, 2, 1, 1, 3, 3, 0, 2, 0, 2, 4, 2, 1, 4, 2, 4, 2, 0, 4, 4, 2, 3, 4, 4, 1, 2, 4, 1, 0, 1, 3, 3, 1, 3, 1, 0, 0, 2, 3, 2, 0, 2, 2, 1, 1, 4, 0, 0, 0, 2, 1, 4, 1, 1, 2, 2, 4, 1, 3, 4, 4, 1, 0, 3, 0, 0, 1, 2, 1, 2, 4, 4, 4, 4, 1, 0, 1, 4, 3, 1, 2, 2, 4, 2, 1, 3, 4, 1, 0, 4, 2, 3, 0, 2, 0, 1, 2, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 3, 2, 0, 2, 0, 4, 1, 4, 3, 0, 2, 3, 1, 2, 0, 4, 1, 3, 0, 1, 0, 2, 4, 0, 0, 3, 2, 2, 4, 2, 3, 2, 0, 1, 4, 3, 1, 2, 4, 2, 0, 0, 1, 0, 4, 3, 4, 0, 3, 1, 4, 0, 4, 3, 3, 2, 2, 3, 1, 1, 1, 2, 1, 0, 2, 4, 4, 2, 3, 0, 1, 1, 3, 1, 4, 1, 3, 1, 3, 2, 2, 0, 1, 4, 1, 0, 2, 0, 0, 3, 2, 0, 2, 0, 2, 4, 2, 4, 3, 0, 4, 2, 4, 1, 0, 4, 3, 0, 0, 2, 0, 2, 0, 3, 0, 1, 2, 3, 0, 4, 1, 3, 3, 2, 4, 0, 1, 2, 2, 4, 4, 2, 3, 2, 3, 4, 2, 4, 1, 1] pubkeycol1661 = [3, 3, 1, 3, 0, 1, 3, 3, 2, 4, 0, 2, 2, 1, 3, 4, 4, 4, 0, 3, 0, 3, 1, 4, 1, 1, 4, 2, 0, 3, 0, 1, 4, 2, 2, 2, 1, 2, 2, 4, 0, 1, 0, 2, 0, 1, 0, 4, 3, 1, 1, 1, 4, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 4, 2, 4, 3, 4, 3, 1, 3, 2, 4, 3, 3, 2, 0, 1, 4, 2, 3, 2, 1, 1, 4, 1, 2, 3, 0, 4, 2, 1, 1, 1, 4, 3, 2, 0, 0, 0, 0, 4, 2, 4, 3, 0, 1, 3, 3, 4, 3, 4, 2, 3, 3, 3, 2, 2, 4, 4, 4, 3, 1, 3, 3, 4, 3, 1, 1, 0, 3, 3, 4, 4, 3, 1, 3, 0, 2, 3, 0, 1, 1, 1, 3, 1, 0, 2, 2, 3, 2, 2, 3, 1, 1, 2, 0, 1, 4, 1, 3, 4, 1, 2, 2, 3, 4, 0, 2, 1, 1, 4, 2, 4, 4, 4, 0, 4, 3, 1, 3, 0, 2, 2, 3, 4, 2, 1, 4, 0, 4, 4, 4, 3, 2, 2, 3, 3, 1, 3, 2, 0, 4, 0, 0, 0, 1, 3, 3, 1, 0, 0, 3, 3, 3, 1, 3, 3, 1, 3, 1, 2, 4, 2, 0, 4, 2, 3, 0, 4, 4, 0, 0, 1, 0, 0, 4, 2, 0, 3, 3, 1, 2, 2, 2, 2, 3, 0, 4, 1, 3, 0, 3, 0, 1, 3, 3, 2, 4, 1, 1, 1, 4, 4, 2, 4, 2, 4, 4, 3, 1, 4, 4, 2, 4, 3, 0, 3, 4, 4, 2, 2, 3, 4, 4, 2, 4, 3, 1, 4, 0, 3, 3, 1, 2, 4, 0, 3, 4, 3, 4, 1, 3, 2, 3, 4, 0, 3, 1, 1, 4, 1, 0, 4, 0, 3, 4, 2, 4, 0, 3, 4, 4, 2, 0, 0, 3, 1, 0, 4, 2, 3, 1, 1, 3, 4, 1, 0, 3, 1, 4, 0, 4, 2, 1, 3, 3, 0, 3, 2, 0, 0, 4, 4, 4, 4, 0, 1, 3, 4, 0, 4, 2, 2, 3, 2, 2, 2, 1, 2, 4, 1, 0, 0, 2, 4, 0, 1, 1, 2, 0, 3, 3, 2, 4, 4, 2, 3, 0, 4, 0, 3, 1, 3, 3, 2, 1, 3] pubkeycol1662 = [3, 2, 4, 1, 4, 3, 4, 1, 4, 3, 3, 3, 0, 3, 0, 0, 2, 4, 0, 0, 0, 3, 1, 2, 1, 1, 1, 2, 3, 0, 2, 4, 0, 3, 0, 1, 1, 4, 0, 0, 3, 4, 2, 3, 2, 0, 0, 4, 0, 4, 3, 1, 1, 1, 2, 2, 2, 0, 0, 1, 3, 4, 4, 1, 2, 2, 1, 4, 2, 3, 2, 1, 3, 4, 2, 0, 2, 4, 0, 0, 0, 0, 3, 2, 4, 1, 0, 2, 4, 1, 2, 3, 1, 1, 3, 0, 1, 4, 3, 4, 2, 0, 1, 2, 3, 2, 0, 2, 4, 4, 3, 4, 1, 1, 1, 3, 2, 4, 0, 4, 1, 4, 2, 4, 4, 3, 4, 4, 2, 0, 2, 3, 3, 2, 0, 1, 4, 1, 1, 1, 0, 4, 3, 1, 1, 3, 1, 3, 0, 4, 3, 1, 4, 4, 2, 2, 3, 1, 0, 3, 0, 3, 1, 0, 3, 4, 2, 0, 2, 1, 0, 0, 2, 1, 3, 0, 4, 3, 4, 2, 2, 4, 0, 3, 2, 2, 1, 3, 3, 0, 1, 2, 3, 0, 4, 0, 2, 4, 1, 2, 0, 3, 2, 2, 0, 1, 0, 2, 0, 0, 3, 1, 1, 2, 3, 1, 4, 0, 1, 4, 4, 2, 3, 1, 0, 4, 1, 2, 4, 2, 1, 3, 3, 4, 2, 1, 2, 1, 2, 3, 0, 0, 3, 0, 0, 2, 3, 3, 2, 3, 4, 0, 3, 3, 2, 3, 4, 2, 3, 3, 0, 4, 3, 1, 1, 1, 4, 4, 2, 1, 3, 1, 3, 0, 3, 0, 1, 3, 2, 0, 0, 3, 1, 1, 0, 0, 0, 4, 2, 3, 3, 3, 1, 2, 4, 3, 3, 2, 0, 4, 2, 3, 3, 0, 3, 0, 4, 3, 3, 3, 1, 1, 4, 1, 3, 1, 2, 1, 4, 3, 1, 3, 0, 2, 2, 0, 4, 3, 3, 1, 0, 2, 0, 2, 0, 0, 2, 4, 3, 0, 3, 0, 1, 4, 2, 4, 1, 4, 3, 3, 4, 4, 1, 4, 1, 2, 0, 3, 4, 0, 4, 3, 3, 0, 3, 1, 4, 1, 1, 4, 3, 3, 2, 1, 2, 3, 4, 1, 4, 1, 1, 3, 3, 0, 0, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4] pubkeycol1663 = [0, 4, 1, 4, 1, 3, 1, 2, 4, 3, 0, 1, 0, 2, 1, 0, 1, 4, 2, 1, 2, 2, 1, 1, 0, 0, 2, 3, 4, 2, 0, 2, 0, 3, 2, 4, 2, 4, 4, 2, 1, 3, 3, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 4, 1, 4, 1, 0, 2, 4, 2, 2, 4, 2, 1, 0, 4, 4, 2, 1, 0, 1, 2, 4, 1, 2, 4, 0, 2, 4, 2, 4, 1, 4, 0, 1, 1, 2, 2, 3, 0, 0, 4, 2, 2, 0, 4, 0, 4, 0, 1, 2, 2, 4, 4, 1, 3, 0, 3, 2, 3, 2, 4, 3, 2, 2, 1, 1, 3, 1, 0, 1, 4, 4, 4, 4, 3, 3, 4, 2, 3, 4, 3, 2, 4, 2, 4, 1, 4, 1, 0, 4, 0, 0, 3, 3, 0, 2, 3, 2, 1, 0, 2, 3, 3, 3, 0, 1, 2, 4, 4, 2, 3, 0, 1, 1, 2, 2, 2, 3, 4, 3, 1, 1, 4, 1, 4, 4, 1, 0, 2, 2, 0, 2, 4, 3, 4, 3, 4, 0, 4, 4, 1, 4, 2, 3, 2, 1, 0, 3, 3, 3, 0, 1, 3, 4, 3, 4, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 3, 3, 2, 1, 0, 2, 3, 3, 3, 2, 0, 2, 4, 4, 0, 3, 3, 3, 3, 1, 0, 4, 2, 3, 2, 1, 1, 2, 3, 0, 1, 1, 4, 4, 4, 2, 4, 1, 2, 4, 0, 0, 2, 0, 4, 2, 1, 3, 3, 0, 4, 0, 4, 2, 2, 0, 1, 4, 3, 3, 2, 4, 0, 3, 0, 3, 2, 3, 1, 3, 1, 2, 4, 2, 1, 1, 3, 3, 1, 2, 3, 2, 0, 2, 1, 0, 4, 2, 1, 3, 2, 1, 3, 0, 4, 2, 4, 3, 3, 0, 4, 4, 2, 3, 4, 1, 0, 0, 4, 3, 2, 4, 3, 4, 2, 2, 1, 2, 4, 4, 2, 2, 0, 2, 3, 2, 2, 3, 0, 3, 0, 4, 0, 0, 4, 0, 1, 1, 4, 3, 3, 4, 4, 3, 0, 2, 0, 1, 0, 1, 3, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 3, 4, 0, 4, 1, 0, 3, 0, 0, 2, 1, 0, 4, 1, 4, 3, 2] pubkeycol1664 = [1, 3, 1, 2, 1, 4, 1, 1, 0, 1, 1, 4, 0, 3, 1, 0, 2, 4, 3, 2, 0, 1, 1, 1, 1, 4, 0, 3, 0, 1, 4, 0, 1, 2, 0, 2, 3, 1, 1, 4, 2, 0, 3, 3, 1, 3, 3, 2, 2, 3, 1, 3, 0, 1, 1, 4, 0, 4, 1, 3, 3, 2, 1, 3, 2, 3, 1, 3, 0, 2, 0, 4, 4, 2, 3, 1, 1, 4, 3, 4, 2, 3, 1, 3, 2, 1, 4, 1, 1, 2, 1, 4, 1, 2, 2, 2, 4, 2, 4, 4, 2, 0, 0, 0, 0, 2, 1, 3, 4, 4, 1, 1, 0, 0, 4, 0, 1, 2, 4, 4, 2, 2, 2, 3, 1, 0, 4, 4, 3, 4, 4, 3, 2, 1, 3, 4, 4, 3, 1, 4, 4, 4, 2, 3, 2, 0, 4, 1, 1, 3, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 4, 1, 4, 2, 4, 3, 3, 1, 3, 2, 4, 1, 3, 3, 2, 4, 3, 2, 0, 0, 3, 4, 1, 0, 3, 0, 2, 0, 0, 3, 4, 1, 1, 0, 1, 2, 3, 4, 2, 0, 0, 2, 1, 4, 3, 4, 0, 4, 1, 0, 1, 4, 2, 3, 3, 3, 1, 1, 3, 0, 1, 3, 2, 0, 2, 1, 4, 0, 2, 1, 4, 1, 3, 3, 0, 4, 1, 1, 4, 1, 4, 1, 4, 0, 3, 2, 4, 3, 2, 0, 0, 3, 3, 0, 1, 3, 2, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 4, 1, 0, 3, 0, 2, 1, 1, 2, 1, 4, 3, 2, 0, 4, 0, 3, 0, 4, 4, 4, 2, 3, 3, 2, 2, 3, 3, 4, 3, 4, 4, 0, 1, 0, 4, 3, 0, 4, 3, 2, 3, 2, 2, 1, 4, 0, 4, 1, 2, 2, 3, 2, 1, 3, 2, 1, 0, 1, 3, 3, 3, 1, 2, 4, 3, 0, 4, 1, 4, 0, 2, 3, 4, 0, 3, 3, 4, 4, 2, 3, 1, 4, 2, 1, 0, 0, 2, 4, 2, 3, 4, 2, 0, 4, 3, 3, 4, 2, 2, 0, 0, 1, 3, 1, 1, 2, 4, 1, 1, 4, 0, 3, 2, 2, 0, 3, 0, 0, 2] pubkeycol1665 = [1, 3, 2, 1, 3, 2, 3, 2, 2, 3, 4, 3, 1, 2, 2, 0, 1, 1, 3, 2, 1, 4, 3, 0, 1, 3, 3, 2, 2, 1, 3, 3, 4, 2, 0, 1, 3, 0, 3, 3, 2, 0, 4, 1, 2, 0, 1, 4, 2, 2, 3, 4, 2, 2, 4, 1, 1, 0, 0, 3, 2, 2, 4, 2, 3, 3, 0, 1, 3, 1, 0, 1, 1, 2, 1, 0, 1, 3, 0, 2, 4, 3, 4, 1, 3, 1, 3, 1, 2, 4, 0, 3, 3, 4, 1, 3, 0, 0, 4, 4, 4, 0, 0, 4, 4, 2, 3, 0, 3, 2, 4, 4, 4, 2, 0, 4, 3, 3, 0, 2, 1, 4, 4, 1, 2, 0, 4, 1, 4, 2, 1, 4, 1, 3, 4, 1, 4, 1, 4, 2, 2, 0, 3, 2, 1, 4, 0, 3, 0, 3, 0, 2, 0, 0, 3, 4, 0, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 1, 3, 0, 1, 2, 0, 1, 3, 4, 4, 4, 3, 2, 2, 2, 4, 4, 3, 1, 1, 0, 1, 4, 0, 1, 0, 3, 0, 3, 2, 1, 4, 0, 2, 1, 0, 4, 2, 3, 3, 0, 1, 4, 4, 1, 3, 2, 1, 4, 1, 4, 3, 3, 1, 2, 0, 1, 3, 2, 4, 1, 3, 1, 0, 1, 3, 3, 3, 2, 3, 2, 2, 3, 1, 4, 3, 3, 0, 1, 0, 3, 4, 2, 2, 1, 4, 0, 3, 4, 3, 4, 0, 1, 0, 3, 4, 2, 1, 1, 3, 3, 4, 4, 1, 4, 3, 0, 2, 3, 0, 4, 1, 0, 1, 3, 4, 4, 3, 2, 0, 3, 4, 2, 1, 1, 3, 2, 1, 1, 2, 0, 3, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 0, 2, 4, 1, 0, 1, 2, 1, 1, 2, 0, 2, 4, 0, 3, 0, 0, 1, 3, 2, 2, 2, 4, 4, 4, 2, 3, 3, 0, 1, 2, 3, 1, 4, 4, 3, 3, 4, 3, 2, 2, 2, 3, 1, 1, 1, 4, 3, 4, 3, 1, 0, 0, 0, 3, 4, 0, 2, 4, 4, 4, 0, 1, 2, 4, 1, 4, 1, 3, 0, 0, 1, 1, 4, 4, 3, 0, 4, 1, 0, 3, 4, 1, 1, 4, 4, 4, 2, 1] pubkeycol1666 = [3, 4, 3, 0, 4, 3, 1, 3, 0, 4, 4, 2, 1, 2, 3, 0, 1, 4, 3, 4, 2, 4, 4, 1, 4, 1, 1, 3, 0, 2, 0, 1, 1, 2, 4, 4, 2, 1, 2, 3, 2, 1, 1, 1, 4, 1, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 2, 1, 0, 4, 2, 3, 4, 0, 4, 4, 4, 1, 0, 4, 0, 1, 2, 1, 1, 3, 0, 3, 3, 1, 3, 0, 3, 0, 4, 3, 4, 2, 3, 1, 1, 4, 4, 1, 2, 2, 1, 3, 0, 1, 1, 4, 2, 0, 0, 0, 0, 1, 3, 4, 3, 1, 4, 2, 4, 1, 2, 0, 3, 2, 2, 2, 0, 3, 2, 2, 3, 4, 1, 0, 2, 1, 0, 0, 3, 2, 3, 3, 1, 0, 3, 2, 3, 1, 3, 4, 0, 4, 2, 2, 4, 2, 3, 2, 0, 4, 3, 0, 1, 0, 4, 4, 3, 3, 0, 1, 2, 2, 0, 0, 3, 0, 1, 3, 3, 0, 2, 4, 2, 4, 1, 3, 2, 3, 3, 1, 2, 3, 3, 1, 2, 1, 3, 4, 4, 1, 4, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 1, 1, 3, 2, 2, 1, 0, 3, 0, 2, 4, 1, 1, 2, 3, 4, 4, 3, 2, 0, 3, 3, 0, 4, 1, 0, 3, 2, 3, 3, 4, 1, 4, 0, 4, 3, 0, 0, 0, 4, 3, 0, 1, 3, 2, 1, 4, 1, 3, 1, 3, 0, 4, 3, 4, 1, 4, 3, 4, 4, 4, 1, 1, 4, 4, 1, 4, 4, 4, 1, 1, 2, 4, 0, 4, 2, 4, 4, 1, 2, 0, 0, 4, 4, 1, 0, 4, 3, 0, 1, 2, 4, 1, 1, 4, 0, 4, 4, 0, 0, 0, 1, 1, 3, 1, 1, 4, 4, 0, 1, 3, 2, 4, 1, 0, 4, 1, 4, 3, 4, 4, 3, 0, 0, 1, 2, 3, 3, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 4, 1, 0, 2, 4, 2, 0, 1, 4, 3, 3, 0, 3, 2, 2, 0, 2, 4, 0, 1, 0, 4, 1, 4, 0, 2, 1, 2, 2, 4, 1, 1, 4, 0, 1, 1, 0, 0, 0, 3, 2, 2, 0, 0, 2, 4, 3, 2, 2, 4] pubkeycol1667 = [1, 0, 1, 4, 2, 2, 2, 2, 3, 4, 4, 3, 4, 2, 0, 0, 0, 3, 0, 1, 0, 2, 2, 1, 4, 0, 1, 3, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 4, 1, 2, 1, 2, 3, 3, 0, 2, 4, 4, 4, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 4, 4, 4, 1, 0, 1, 2, 1, 1, 1, 3, 1, 2, 1, 1, 4, 0, 4, 3, 0, 2, 3, 0, 1, 1, 3, 2, 3, 0, 4, 2, 0, 1, 4, 2, 4, 0, 0, 2, 0, 0, 3, 4, 0, 2, 4, 2, 1, 4, 2, 1, 1, 2, 4, 4, 3, 0, 1, 1, 3, 2, 0, 0, 4, 0, 3, 1, 4, 4, 1, 0, 1, 4, 4, 2, 1, 3, 1, 4, 4, 4, 0, 4, 2, 4, 0, 0, 3, 0, 1, 2, 2, 4, 3, 1, 2, 3, 4, 4, 4, 0, 0, 1, 3, 2, 1, 2, 3, 0, 2, 0, 1, 2, 0, 1, 2, 4, 2, 3, 0, 3, 3, 0, 2, 1, 0, 0, 4, 4, 1, 2, 1, 4, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 4, 1, 3, 3, 4, 0, 1, 3, 4, 0, 4, 4, 1, 2, 1, 2, 3, 4, 3, 1, 3, 3, 2, 2, 3, 1, 1, 3, 4, 3, 3, 1, 1, 0, 2, 1, 0, 2, 1, 2, 3, 0, 0, 4, 2, 0, 1, 3, 2, 0, 4, 2, 4, 2, 3, 0, 4, 0, 1, 1, 2, 1, 2, 1, 4, 1, 2, 0, 4, 2, 1, 4, 0, 4, 2, 3, 1, 4, 2, 1, 0, 4, 0, 4, 0, 1, 3, 0, 2, 4, 0, 4, 4, 1, 1, 4, 3, 1, 2, 3, 4, 4, 2, 4, 2, 0, 0, 4, 0, 4, 0, 3, 3, 0, 2, 1, 3, 1, 1, 4, 3, 4, 4, 4, 2, 3, 0, 2, 3, 4, 2, 1, 3, 1, 0, 0, 0, 0, 3, 3, 4, 4, 3, 2, 3, 4, 1, 1, 2, 2, 2, 4, 3, 0, 3, 4, 4, 0, 1, 1, 3, 0, 1, 4, 3, 2, 1, 3, 4, 3, 0, 0, 1, 3, 0, 2, 1, 2, 0, 4, 4, 4, 2, 0, 2, 3, 1, 2, 1, 0, 0, 3, 1] pubkeycol1668 = [3, 3, 3, 4, 2, 4, 2, 1, 4, 1, 1, 1, 1, 3, 0, 4, 4, 3, 2, 0, 3, 4, 4, 2, 0, 2, 2, 4, 4, 4, 2, 4, 0, 0, 2, 4, 4, 3, 1, 2, 0, 2, 0, 3, 0, 4, 1, 0, 1, 4, 1, 1, 4, 0, 2, 4, 1, 0, 4, 2, 1, 4, 1, 2, 3, 0, 2, 4, 4, 1, 2, 1, 0, 3, 4, 3, 0, 2, 4, 0, 0, 0, 3, 4, 3, 2, 1, 2, 1, 4, 2, 1, 4, 4, 3, 4, 1, 1, 4, 2, 1, 2, 2, 4, 4, 4, 2, 3, 1, 3, 3, 0, 4, 0, 0, 2, 4, 4, 2, 3, 4, 0, 0, 0, 0, 4, 0, 4, 3, 2, 1, 3, 4, 3, 3, 3, 4, 4, 4, 3, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 3, 0, 4, 4, 2, 4, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 3, 0, 1, 0, 2, 4, 2, 4, 2, 0, 3, 3, 0, 2, 1, 2, 1, 3, 0, 2, 1, 3, 0, 2, 2, 2, 0, 4, 3, 3, 1, 3, 0, 0, 1, 4, 3, 0, 3, 3, 4, 0, 2, 2, 4, 0, 1, 0, 3, 1, 4, 2, 0, 0, 2, 0, 4, 0, 3, 4, 1, 3, 3, 0, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 3, 4, 2, 0, 2, 2, 1, 0, 4, 0, 2, 3, 2, 1, 2, 0, 3, 4, 0, 1, 1, 0, 3, 1, 3, 3, 2, 0, 4, 4, 1, 4, 1, 1, 3, 2, 3, 2, 1, 4, 3, 4, 1, 4, 0, 0, 3, 3, 4, 3, 0, 4, 3, 3, 3, 3, 3, 2, 4, 2, 3, 4, 3, 2, 3, 1, 4, 1, 4, 4, 4, 3, 0, 1, 2, 2, 4, 1, 3, 2, 4, 0, 4, 1, 4, 0, 3, 1, 2, 0, 2, 1, 0, 2, 2, 1, 3, 1, 3, 2, 0, 0, 1, 1, 3, 1, 2, 4, 2, 0, 0, 3, 1, 2, 2, 0, 4, 1, 0, 4, 1, 4, 3, 1, 3, 3, 4, 3, 2, 4, 4, 1, 1, 3, 4, 3, 2, 4, 3, 2, 0, 1, 2, 0, 3, 3, 2, 1, 0, 2, 3, 4, 1, 0, 0, 4, 3, 2, 3] pubkeycol1669 = [0, 1, 0, 3, 4, 3, 4, 4, 4, 3, 3, 2, 1, 1, 0, 4, 0, 3, 2, 2, 0, 2, 0, 4, 2, 2, 1, 4, 2, 0, 2, 2, 4, 0, 1, 3, 2, 3, 0, 0, 2, 1, 3, 0, 4, 3, 2, 3, 1, 1, 0, 4, 1, 0, 1, 3, 4, 2, 0, 3, 3, 0, 3, 3, 3, 0, 3, 4, 4, 2, 0, 3, 2, 0, 0, 3, 3, 2, 4, 2, 3, 1, 3, 4, 2, 4, 3, 4, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 4, 4, 2, 1, 1, 2, 2, 2, 1, 2, 0, 3, 4, 4, 2, 0, 4, 2, 2, 0, 0, 3, 1, 2, 0, 1, 2, 1, 1, 2, 4, 1, 2, 0, 0, 2, 3, 2, 2, 4, 3, 0, 0, 4, 0, 4, 2, 2, 4, 0, 2, 3, 3, 1, 1, 0, 3, 1, 0, 0, 1, 0, 4, 2, 1, 0, 4, 3, 2, 0, 2, 1, 3, 1, 3, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 3, 1, 1, 1, 3, 0, 3, 2, 2, 4, 1, 4, 0, 1, 3, 2, 2, 1, 4, 4, 1, 4, 2, 3, 4, 0, 3, 4, 2, 1, 3, 0, 2, 3, 3, 1, 4, 3, 0, 3, 1, 4, 1, 4, 0, 0, 2, 4, 1, 3, 4, 2, 1, 3, 3, 2, 4, 3, 4, 4, 1, 0, 1, 2, 2, 2, 3, 1, 4, 2, 2, 2, 2, 4, 3, 3, 3, 4, 1, 3, 2, 4, 2, 0, 3, 2, 1, 3, 3, 4, 2, 2, 3, 0, 3, 0, 3, 3, 4, 0, 1, 3, 2, 0, 0, 2, 4, 4, 1, 1, 2, 0, 3, 1, 1, 4, 3, 1, 2, 3, 0, 0, 4, 4, 4, 1, 1, 2, 2, 4, 2, 1, 4, 1, 0, 1, 3, 0, 3, 1, 0, 1, 1, 4, 0, 1, 1, 4, 2, 4, 0, 4, 4, 3, 1, 2, 2, 0, 0, 1, 4, 4, 3, 2, 4, 2, 4, 2, 0, 4, 3, 2, 0, 1, 0, 2, 2, 4, 4, 4, 1, 1, 1, 3, 4, 3, 2, 2, 3, 0, 1, 1, 1, 2, 0, 2, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 1, 3, 3, 4, 2, 3, 2, 4] pubkeycol1670 = [0, 4, 1, 4, 2, 3, 4, 1, 0, 4, 1, 1, 0, 3, 2, 1, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 4, 1, 4, 0, 4, 3, 4, 1, 4, 4, 4, 4, 0, 4, 3, 0, 0, 2, 4, 3, 1, 0, 1, 2, 0, 4, 1, 1, 2, 2, 3, 0, 4, 4, 4, 2, 3, 0, 1, 3, 4, 4, 0, 1, 2, 4, 1, 1, 1, 4, 3, 0, 0, 3, 1, 1, 0, 3, 2, 1, 3, 2, 3, 1, 4, 4, 0, 4, 2, 1, 1, 3, 2, 1, 0, 4, 3, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 4, 1, 0, 3, 3, 0, 0, 4, 4, 0, 1, 1, 4, 1, 0, 0, 4, 2, 1, 1, 3, 3, 3, 3, 4, 0, 4, 2, 2, 4, 3, 0, 3, 3, 4, 1, 2, 1, 2, 3, 2, 1, 1, 3, 4, 1, 3, 0, 1, 3, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 2, 0, 4, 0, 4, 0, 3, 1, 0, 4, 1, 2, 1, 3, 1, 2, 4, 3, 2, 0, 0, 3, 1, 1, 1, 1, 1, 4, 4, 0, 3, 3, 0, 1, 1, 2, 1, 4, 2, 3, 3, 0, 1, 3, 2, 2, 0, 3, 4, 4, 0, 1, 1, 0, 2, 4, 2, 0, 3, 4, 1, 4, 1, 1, 3, 1, 3, 1, 3, 0, 1, 1, 4, 1, 1, 2, 4, 4, 3, 0, 1, 4, 0, 3, 0, 0, 2, 0, 3, 1, 3, 4, 0, 2, 2, 4, 4, 2, 1, 2, 0, 4, 4, 3, 2, 4, 3, 3, 3, 3, 4, 3, 0, 3, 2, 2, 2, 2, 2, 2, 4, 0, 2, 4, 2, 4, 4, 0, 4, 2, 3, 2, 4, 1, 0, 1, 3, 0, 4, 0, 1, 3, 3, 4, 3, 4, 0, 4, 4, 2, 2, 2, 2, 2, 2, 3, 2, 4, 2, 1, 0, 4, 4, 1, 2, 1, 1, 2, 4, 2, 1, 0, 0, 0, 2, 4, 3, 3, 1, 1, 1, 4, 1, 4, 3, 0, 1, 3, 0, 0, 1, 0, 3, 0, 4, 3, 4, 1, 3, 3, 4, 3, 1, 2, 2, 2, 3, 3, 1, 3, 0, 0, 3, 4, 1, 1, 4, 2, 3, 3, 1, 1, 2, 4] pubkeycol1671 = [0, 1, 4, 1, 3, 4, 2, 3, 0, 1, 2, 0, 2, 0, 1, 1, 3, 0, 2, 2, 2, 2, 3, 3, 0, 1, 0, 1, 3, 1, 3, 4, 1, 0, 3, 2, 0, 2, 2, 3, 4, 1, 1, 2, 3, 1, 3, 2, 1, 3, 4, 4, 4, 2, 3, 2, 2, 3, 0, 2, 3, 1, 3, 0, 4, 0, 0, 0, 0, 2, 3, 2, 3, 1, 1, 1, 3, 0, 0, 2, 4, 4, 1, 1, 3, 4, 4, 2, 2, 0, 4, 1, 2, 0, 2, 3, 4, 0, 2, 0, 1, 3, 3, 1, 3, 4, 2, 2, 4, 4, 1, 3, 0, 3, 1, 0, 3, 1, 1, 4, 1, 4, 4, 1, 0, 2, 1, 3, 0, 0, 3, 4, 2, 3, 0, 2, 2, 4, 4, 4, 4, 3, 1, 0, 4, 0, 1, 2, 0, 1, 3, 1, 0, 1, 3, 4, 3, 4, 2, 4, 2, 1, 3, 1, 2, 0, 4, 0, 1, 2, 2, 0, 3, 1, 1, 1, 1, 2, 3, 3, 0, 4, 3, 1, 1, 1, 0, 4, 4, 0, 2, 2, 3, 3, 1, 1, 1, 1, 3, 0, 0, 2, 2, 3, 4, 4, 1, 4, 4, 3, 0, 3, 3, 3, 4, 1, 4, 4, 3, 1, 1, 0, 1, 0, 1, 3, 0, 0, 1, 2, 3, 4, 0, 4, 3, 4, 2, 2, 2, 4, 4, 4, 1, 1, 4, 2, 2, 4, 1, 4, 3, 0, 1, 3, 2, 0, 3, 2, 4, 2, 2, 0, 0, 1, 3, 2, 2, 2, 0, 0, 0, 4, 3, 4, 1, 3, 4, 4, 1, 0, 4, 2, 2, 3, 1, 3, 3, 1, 2, 1, 3, 0, 0, 2, 1, 3, 4, 4, 3, 0, 0, 4, 3, 3, 1, 1, 1, 4, 3, 4, 3, 0, 0, 4, 1, 3, 2, 3, 0, 4, 2, 4, 1, 3, 3, 2, 0, 4, 2, 4, 3, 3, 4, 3, 3, 1, 4, 4, 3, 4, 1, 1, 2, 2, 2, 2, 2, 1, 4, 0, 0, 1, 4, 3, 0, 2, 4, 2, 4, 0, 4, 2, 1, 1, 2, 0, 0, 0, 4, 4, 1, 4, 4, 0, 3, 4, 2, 3, 1, 4, 4, 3, 3, 2, 0, 4, 1, 3, 4, 3, 2, 0, 1, 2, 0, 0, 1, 2, 3, 0] pubkeycol1672 = [3, 1, 3, 1, 1, 0, 2, 0, 3, 4, 0, 1, 1, 4, 1, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 4, 2, 0, 1, 2, 0, 2, 4, 4, 4, 4, 0, 2, 1, 2, 2, 4, 0, 4, 3, 0, 4, 2, 1, 3, 0, 4, 1, 0, 0, 0, 3, 3, 3, 2, 3, 4, 2, 2, 4, 2, 0, 2, 4, 1, 2, 1, 1, 3, 1, 4, 3, 1, 0, 2, 3, 0, 2, 2, 0, 2, 4, 1, 3, 4, 2, 2, 3, 1, 0, 3, 3, 4, 0, 3, 4, 2, 4, 0, 1, 3, 3, 4, 4, 2, 4, 2, 3, 0, 2, 0, 2, 0, 2, 1, 4, 0, 4, 0, 2, 2, 2, 0, 3, 1, 4, 2, 2, 4, 2, 1, 4, 4, 2, 1, 4, 3, 3, 1, 3, 3, 1, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 4, 2, 2, 2, 1, 0, 3, 2, 3, 2, 4, 4, 2, 0, 4, 3, 3, 2, 4, 1, 1, 2, 3, 1, 2, 2, 2, 4, 1, 1, 0, 3, 2, 3, 1, 0, 2, 3, 0, 4, 0, 3, 2, 0, 3, 2, 4, 1, 4, 2, 1, 2, 3, 0, 1, 0, 1, 2, 1, 2, 0, 0, 3, 3, 4, 1, 0, 3, 2, 4, 4, 2, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 0, 1, 3, 1, 0, 0, 1, 2, 4, 4, 0, 2, 2, 4, 0, 0, 0, 2, 3, 3, 3, 3, 0, 1, 0, 4, 0, 4, 4, 0, 0, 0, 3, 3, 3, 0, 0, 1, 3, 4, 2, 1, 2, 1, 4, 0, 4, 4, 2, 0, 2, 1, 4, 3, 4, 4, 2, 1, 2, 4, 3, 4, 1, 0, 0, 1, 2, 2, 0, 0, 3, 3, 0, 0, 3, 1, 4, 2, 3, 0, 3, 4, 2, 3, 4, 2, 2, 2, 1, 4, 1, 4, 0, 2, 0, 1, 3, 1, 0, 1, 2, 0, 0, 0, 3, 3, 3, 0, 4, 3, 3, 4, 1, 1, 2, 1, 1, 4, 2, 1, 2, 3, 4, 2, 2, 3, 4, 0, 3, 0, 3, 1, 3, 1, 1, 4, 2, 2, 4, 2, 2, 3, 2, 3, 3, 0, 1, 3, 4, 4, 2, 4, 2, 1, 2, 1] pubkeycol1673 = [3, 2, 1, 0, 4, 4, 4, 3, 3, 0, 4, 2, 3, 3, 2, 1, 4, 1, 0, 1, 3, 3, 1, 3, 1, 2, 4, 4, 2, 2, 0, 0, 1, 0, 0, 1, 0, 3, 4, 2, 3, 1, 3, 1, 0, 3, 1, 4, 4, 1, 1, 3, 3, 3, 2, 4, 4, 3, 3, 4, 3, 0, 4, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 4, 0, 1, 3, 1, 0, 0, 4, 1, 2, 0, 4, 2, 0, 4, 2, 3, 0, 0, 3, 2, 0, 3, 4, 0, 3, 1, 1, 2, 0, 0, 0, 3, 1, 1, 4, 3, 1, 2, 2, 1, 0, 3, 3, 0, 3, 4, 2, 4, 1, 0, 3, 0, 2, 1, 3, 3, 0, 0, 2, 3, 3, 0, 4, 4, 0, 0, 0, 1, 3, 2, 3, 0, 4, 4, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 3, 0, 4, 1, 1, 1, 4, 0, 3, 1, 3, 3, 4, 1, 3, 2, 3, 3, 2, 2, 3, 3, 4, 0, 1, 2, 2, 4, 3, 0, 0, 4, 4, 4, 1, 4, 2, 1, 4, 0, 0, 3, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 3, 2, 2, 3, 2, 0, 1, 4, 1, 1, 0, 1, 3, 4, 4, 0, 1, 1, 3, 0, 2, 3, 1, 3, 1, 0, 2, 1, 4, 4, 3, 0, 0, 3, 2, 3, 4, 0, 3, 0, 3, 2, 1, 0, 1, 2, 4, 2, 0, 2, 2, 1, 1, 1, 0, 4, 2, 0, 0, 2, 1, 4, 4, 4, 3, 1, 3, 3, 0, 4, 1, 3, 2, 2, 2, 0, 4, 0, 4, 4, 3, 1, 0, 1, 0, 3, 0, 1, 2, 2, 4, 4, 2, 3, 2, 4, 3, 3, 1, 4, 0, 3, 3, 4, 3, 0, 0, 0, 1, 4, 2, 4, 4, 2, 1, 1, 2, 0, 3, 0, 0, 2, 3, 0, 0, 2, 1, 1, 4, 1, 0, 3, 3, 0, 2, 2, 3, 1, 3, 2, 4, 2, 4, 3, 1, 3, 0, 0, 2, 2, 4, 0, 1, 1, 0, 0, 4, 1, 4, 1, 2, 3, 1, 0, 4, 3, 2, 4, 2, 4, 1, 4, 1, 3, 2, 1, 0, 0, 1, 0, 1, 4, 4, 4, 1, 1, 2, 3] pubkeycol1674 = [4, 4, 4, 3, 3, 4, 2, 4, 3, 4, 1, 4, 3, 1, 0, 3, 2, 4, 4, 1, 2, 4, 4, 2, 0, 4, 1, 0, 1, 3, 3, 4, 2, 1, 0, 1, 4, 0, 1, 2, 4, 4, 2, 0, 2, 3, 4, 4, 1, 1, 4, 3, 1, 2, 0, 4, 0, 1, 0, 2, 4, 1, 0, 1, 2, 2, 4, 1, 0, 3, 3, 2, 3, 4, 3, 2, 2, 2, 1, 1, 0, 0, 4, 1, 1, 2, 4, 0, 1, 2, 0, 4, 1, 3, 2, 0, 3, 4, 0, 1, 0, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 1, 0, 3, 1, 1, 2, 1, 3, 2, 4, 1, 1, 1, 0, 0, 0, 2, 3, 2, 4, 3, 0, 3, 4, 4, 2, 4, 0, 4, 1, 0, 1, 1, 2, 2, 4, 3, 4, 3, 1, 1, 4, 2, 2, 2, 4, 2, 0, 3, 0, 3, 0, 0, 1, 1, 1, 1, 3, 4, 4, 0, 4, 3, 2, 3, 0, 2, 4, 2, 0, 2, 4, 2, 1, 3, 3, 3, 0, 3, 2, 3, 2, 4, 3, 4, 3, 4, 0, 1, 4, 2, 1, 4, 0, 1, 3, 2, 0, 0, 4, 3, 3, 2, 0, 3, 3, 3, 2, 3, 3, 2, 0, 1, 4, 1, 3, 3, 2, 4, 0, 3, 4, 0, 0, 1, 3, 2, 4, 1, 0, 3, 1, 4, 2, 1, 1, 3, 4, 0, 0, 4, 2, 2, 4, 1, 1, 0, 0, 1, 1, 0, 3, 3, 0, 3, 0, 2, 2, 4, 4, 1, 3, 3, 3, 4, 2, 1, 3, 2, 1, 0, 2, 2, 0, 2, 1, 3, 3, 3, 3, 2, 0, 1, 3, 3, 3, 3, 3, 2, 3, 4, 1, 3, 1, 4, 2, 0, 2, 3, 3, 3, 3, 1, 4, 1, 0, 1, 4, 2, 4, 4, 4, 4, 0, 0, 2, 4, 1, 4, 4, 4, 3, 4, 2, 4, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 3, 0, 2, 2, 1, 0, 0, 2, 1, 0, 4, 2, 4, 1, 4, 0, 0, 1, 1, 2, 4, 4, 0, 4, 2, 0, 3, 0, 0, 1, 3, 1, 0, 0, 2, 3, 0, 4, 0, 2, 4, 0, 2, 4, 2, 0, 2, 0, 1, 4, 0, 1, 4, 0] pubkeycol1675 = [2, 4, 2, 4, 2, 3, 2, 2, 0, 1, 3, 0, 4, 0, 3, 0, 4, 1, 1, 2, 0, 2, 2, 4, 3, 0, 1, 1, 4, 2, 2, 3, 2, 3, 4, 0, 1, 0, 1, 4, 0, 0, 3, 4, 0, 3, 2, 3, 3, 4, 3, 4, 4, 1, 1, 4, 3, 3, 2, 2, 4, 1, 4, 1, 3, 3, 0, 0, 3, 1, 2, 3, 1, 0, 0, 3, 0, 4, 0, 2, 3, 4, 1, 3, 3, 2, 3, 4, 3, 1, 1, 3, 0, 1, 0, 2, 0, 0, 3, 0, 1, 3, 4, 0, 1, 0, 4, 2, 1, 4, 3, 2, 3, 4, 4, 0, 4, 2, 2, 1, 0, 0, 2, 3, 2, 3, 2, 1, 4, 2, 1, 0, 0, 4, 2, 0, 0, 4, 4, 2, 2, 1, 1, 4, 1, 2, 2, 3, 4, 1, 0, 3, 2, 4, 4, 0, 0, 1, 3, 3, 0, 0, 0, 2, 0, 4, 0, 1, 2, 1, 3, 0, 0, 1, 0, 3, 0, 3, 2, 2, 3, 0, 2, 2, 0, 3, 3, 4, 0, 3, 3, 0, 2, 1, 1, 3, 4, 0, 4, 3, 3, 0, 1, 1, 0, 3, 3, 1, 3, 4, 1, 1, 2, 4, 2, 3, 0, 0, 2, 1, 4, 3, 2, 4, 3, 0, 0, 0, 2, 2, 3, 3, 4, 3, 4, 0, 3, 4, 0, 4, 0, 0, 2, 3, 0, 1, 1, 1, 0, 0, 3, 0, 4, 0, 4, 3, 0, 2, 4, 1, 0, 4, 4, 2, 3, 4, 3, 4, 3, 3, 1, 4, 4, 1, 0, 0, 0, 3, 0, 1, 4, 3, 3, 4, 3, 4, 3, 0, 2, 3, 2, 1, 0, 1, 0, 3, 4, 1, 1, 1, 0, 3, 3, 0, 2, 0, 3, 3, 1, 1, 0, 3, 2, 3, 1, 1, 1, 0, 1, 1, 2, 3, 4, 3, 4, 1, 3, 4, 4, 4, 1, 4, 2, 2, 0, 1, 2, 0, 2, 3, 4, 2, 3, 3, 1, 3, 0, 2, 2, 0, 3, 1, 2, 0, 1, 3, 3, 1, 3, 1, 1, 0, 0, 0, 0, 1, 4, 1, 1, 1, 0, 4, 0, 4, 2, 1, 3, 4, 0, 3, 2, 1, 4, 1, 3, 2, 1, 4, 2, 4, 1, 1, 4, 0, 3, 0, 4, 2, 1, 3] pubkeycol1676 = [3, 1, 3, 0, 0, 1, 0, 3, 0, 0, 2, 2, 1, 1, 4, 3, 0, 2, 3, 3, 2, 2, 2, 3, 3, 1, 1, 1, 2, 4, 1, 2, 2, 2, 2, 1, 0, 4, 0, 4, 4, 1, 1, 1, 0, 3, 0, 2, 1, 0, 2, 4, 4, 1, 2, 3, 4, 0, 2, 4, 0, 3, 0, 1, 4, 2, 2, 1, 4, 3, 0, 3, 0, 4, 4, 1, 4, 3, 0, 4, 0, 2, 1, 2, 4, 3, 3, 0, 0, 3, 2, 3, 2, 1, 3, 1, 3, 0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 0, 2, 0, 1, 4, 3, 0, 0, 0, 4, 2, 0, 2, 2, 0, 4, 2, 2, 3, 2, 3, 3, 2, 1, 2, 1, 1, 3, 3, 2, 4, 2, 2, 1, 1, 3, 0, 0, 1, 2, 0, 4, 1, 2, 2, 3, 1, 4, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 0, 1, 2, 2, 0, 1, 1, 4, 0, 4, 1, 0, 1, 1, 2, 4, 2, 1, 4, 2, 4, 0, 4, 1, 4, 3, 3, 1, 3, 4, 4, 4, 4, 4, 1, 3, 2, 1, 2, 1, 3, 3, 3, 4, 1, 4, 1, 3, 4, 2, 2, 0, 2, 3, 1, 1, 4, 3, 3, 0, 4, 0, 0, 0, 1, 1, 2, 3, 0, 3, 0, 3, 0, 2, 2, 4, 4, 2, 0, 2, 0, 3, 4, 2, 0, 0, 4, 4, 4, 2, 0, 1, 2, 3, 0, 4, 1, 2, 0, 2, 1, 4, 0, 0, 1, 4, 1, 0, 1, 2, 0, 2, 2, 4, 2, 0, 1, 3, 1, 4, 2, 4, 0, 2, 0, 2, 2, 4, 2, 2, 1, 2, 0, 3, 4, 2, 1, 4, 4, 4, 4, 2, 1, 0, 1, 0, 0, 3, 4, 0, 1, 1, 4, 2, 2, 0, 4, 3, 0, 3, 2, 1, 3, 0, 0, 4, 3, 4, 2, 2, 3, 2, 2, 0, 2, 0, 3, 1, 0, 0, 2, 2, 1, 2, 2, 3, 4, 0, 0, 2, 0, 1, 0, 2, 1, 4, 0, 0, 3, 3, 4, 4, 2, 0, 2, 0, 1, 1, 2, 1, 0, 3, 2, 4, 0, 1, 2, 3, 2, 2, 0, 3, 3, 3, 0, 1, 3, 4, 1, 0, 2, 1, 1, 1, 3] pubkeycol1677 = [3, 4, 3, 4, 2, 2, 4, 3, 0, 1, 1, 4, 0, 0, 2, 3, 3, 4, 4, 0, 2, 0, 4, 1, 3, 2, 0, 0, 4, 1, 0, 0, 3, 1, 2, 3, 2, 0, 0, 1, 2, 3, 4, 0, 2, 3, 0, 3, 0, 2, 2, 2, 1, 2, 0, 4, 1, 2, 1, 0, 2, 3, 3, 0, 2, 4, 4, 3, 0, 2, 3, 3, 0, 3, 3, 1, 3, 1, 0, 0, 2, 0, 4, 2, 1, 3, 2, 0, 2, 3, 3, 1, 2, 0, 3, 0, 2, 2, 4, 2, 3, 1, 2, 2, 2, 0, 1, 3, 0, 2, 0, 0, 3, 2, 1, 1, 4, 0, 4, 0, 2, 0, 2, 2, 0, 0, 3, 3, 2, 4, 4, 1, 4, 4, 0, 1, 2, 2, 0, 3, 2, 2, 2, 0, 4, 1, 4, 1, 0, 2, 1, 1, 1, 4, 0, 2, 1, 3, 3, 3, 4, 1, 4, 4, 0, 4, 0, 3, 2, 4, 4, 1, 3, 1, 4, 3, 4, 1, 0, 0, 1, 3, 3, 0, 2, 2, 3, 4, 1, 2, 0, 4, 4, 2, 1, 1, 1, 1, 0, 1, 4, 4, 1, 0, 3, 0, 0, 1, 3, 1, 4, 4, 2, 1, 4, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 3, 3, 1, 4, 2, 2, 2, 3, 2, 1, 2, 4, 1, 4, 4, 2, 4, 1, 0, 3, 4, 4, 3, 3, 3, 3, 4, 0, 0, 0, 3, 0, 1, 2, 0, 1, 3, 1, 3, 4, 0, 1, 2, 0, 3, 2, 4, 1, 2, 0, 1, 1, 4, 0, 0, 1, 4, 2, 3, 3, 4, 2, 2, 2, 4, 0, 4, 4, 1, 4, 0, 4, 3, 1, 2, 1, 3, 3, 2, 0, 2, 2, 1, 0, 4, 0, 3, 2, 0, 1, 4, 4, 2, 3, 2, 3, 2, 3, 0, 4, 3, 0, 2, 2, 1, 1, 4, 0, 2, 3, 1, 1, 4, 1, 0, 2, 0, 4, 4, 0, 2, 3, 2, 3, 3, 2, 0, 3, 1, 4, 3, 3, 4, 2, 3, 0, 1, 3, 1, 3, 2, 1, 3, 2, 4, 3, 3, 1, 3, 1, 3, 4, 4, 3, 3, 2, 1, 4, 3, 0, 4, 4, 1, 1, 4, 2, 4, 4, 0, 1, 4, 1, 2, 1, 4] pubkeycol1678 = [1, 3, 0, 0, 2, 3, 0, 4, 4, 4, 3, 1, 4, 3, 0, 0, 0, 3, 3, 4, 4, 0, 2, 2, 1, 4, 3, 3, 0, 4, 3, 4, 1, 3, 0, 2, 1, 1, 2, 4, 0, 0, 0, 3, 4, 4, 0, 4, 4, 0, 2, 1, 2, 0, 2, 3, 2, 0, 3, 2, 0, 2, 2, 1, 1, 4, 4, 3, 3, 4, 2, 4, 2, 3, 0, 0, 3, 1, 0, 2, 2, 2, 3, 1, 0, 1, 2, 2, 4, 3, 0, 2, 1, 3, 0, 2, 3, 2, 2, 2, 1, 0, 2, 2, 0, 0, 3, 3, 4, 0, 0, 3, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 3, 3, 4, 3, 4, 4, 1, 4, 4, 3, 2, 2, 4, 3, 1, 3, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 4, 3, 2, 3, 3, 1, 4, 3, 2, 4, 2, 2, 0, 2, 4, 3, 2, 1, 2, 0, 4, 0, 2, 3, 2, 1, 1, 2, 4, 1, 1, 1, 3, 1, 1, 4, 2, 4, 1, 4, 4, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 4, 0, 2, 0, 3, 2, 1, 0, 1, 3, 0, 2, 2, 4, 4, 3, 4, 4, 4, 1, 4, 3, 0, 4, 3, 3, 3, 2, 2, 4, 1, 4, 1, 1, 2, 2, 4, 0, 2, 1, 4, 0, 1, 0, 2, 4, 3, 4, 2, 1, 3, 3, 3, 3, 4, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 4, 3, 3, 2, 3, 0, 1, 2, 2, 0, 1, 3, 3, 1, 0, 3, 3, 4, 1, 3, 1, 0, 0, 4, 2, 0, 4, 4, 2, 3, 2, 4, 2, 2, 2, 1, 2, 1, 1, 0, 2, 3, 4, 1, 4, 3, 4, 1, 2, 3, 0, 2, 3, 2, 1, 4, 4, 2, 3, 1, 2, 2, 3, 0, 2, 4, 4, 1, 2, 0, 4, 4, 1, 0, 1, 3, 0, 3, 0, 3, 2, 3, 1, 3, 4, 2, 4, 0, 2, 4, 2, 4, 0, 0, 1, 0, 2, 4, 0, 2, 2, 3, 1, 3, 0, 4, 3, 2, 0, 2, 3, 3, 4, 1, 0, 1, 0, 2, 4, 3, 1, 4, 4, 4, 2] pubkeycol1679 = [2, 0, 2, 1, 3, 2, 4, 4, 4, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 4, 1, 4, 0, 3, 2, 0, 0, 1, 4, 2, 3, 1, 0, 0, 4, 0, 3, 0, 1, 3, 1, 3, 4, 0, 0, 0, 4, 2, 4, 1, 2, 2, 3, 4, 1, 1, 2, 2, 0, 1, 1, 3, 1, 0, 1, 1, 3, 4, 3, 0, 0, 1, 4, 1, 1, 2, 3, 2, 2, 4, 4, 0, 1, 0, 0, 0, 2, 4, 0, 0, 2, 3, 4, 4, 0, 4, 0, 3, 3, 1, 1, 4, 4, 2, 0, 3, 4, 4, 0, 1, 4, 3, 2, 2, 3, 2, 4, 2, 1, 0, 3, 2, 0, 0, 4, 4, 2, 2, 4, 3, 2, 4, 3, 2, 0, 4, 4, 3, 3, 4, 1, 4, 4, 0, 3, 3, 1, 2, 0, 3, 4, 3, 4, 2, 3, 3, 0, 2, 0, 4, 3, 0, 2, 2, 3, 4, 2, 0, 0, 2, 0, 1, 3, 4, 4, 0, 3, 4, 0, 4, 0, 2, 4, 1, 1, 3, 3, 1, 0, 2, 4, 4, 3, 0, 0, 4, 0, 4, 3, 1, 1, 3, 4, 3, 0, 2, 3, 0, 2, 1, 1, 2, 3, 2, 4, 0, 1, 0, 0, 1, 1, 3, 2, 1, 4, 0, 3, 2, 3, 3, 4, 3, 3, 2, 4, 3, 2, 1, 2, 0, 1, 3, 4, 2, 3, 0, 4, 2, 2, 4, 1, 4, 3, 4, 3, 3, 0, 1, 0, 3, 0, 4, 0, 1, 1, 4, 0, 2, 0, 2, 0, 1, 4, 2, 3, 0, 4, 1, 0, 2, 3, 1, 4, 1, 4, 4, 4, 3, 0, 1, 3, 4, 0, 2, 4, 0, 1, 0, 0, 2, 4, 0, 2, 4, 4, 0, 0, 4, 3, 3, 1, 2, 4, 3, 4, 3, 4, 1, 2, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 1, 1, 3, 2, 3, 2, 2, 0, 1, 4, 0, 4, 3, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 4, 3, 3, 3, 4, 3, 1, 4, 2, 3, 3, 0, 4, 0, 3, 4, 0, 0, 1, 1, 3, 2, 4, 0, 3, 1, 2, 0, 0, 0, 0, 3, 4, 1, 3, 3, 4, 4, 0, 2, 0, 1, 0, 0, 0, 1, 4, 1] pubkeycol1680 = [0, 3, 0, 4, 1, 1, 2, 1, 0, 2, 4, 4, 3, 4, 3, 3, 1, 4, 3, 3, 2, 3, 0, 2, 3, 1, 4, 2, 4, 4, 2, 0, 2, 2, 2, 3, 0, 2, 0, 0, 4, 1, 1, 2, 2, 1, 0, 2, 3, 1, 1, 2, 3, 2, 4, 1, 4, 1, 4, 0, 1, 4, 1, 1, 4, 3, 1, 2, 0, 2, 1, 2, 4, 1, 1, 3, 2, 3, 1, 1, 2, 4, 1, 2, 4, 4, 1, 4, 2, 2, 0, 2, 2, 2, 4, 2, 3, 1, 3, 4, 2, 3, 0, 3, 1, 1, 2, 2, 1, 4, 0, 4, 0, 2, 4, 1, 2, 1, 4, 4, 0, 2, 4, 0, 2, 4, 0, 3, 4, 2, 2, 4, 1, 0, 4, 3, 3, 3, 1, 1, 0, 0, 2, 0, 3, 4, 4, 0, 4, 2, 1, 0, 4, 1, 2, 0, 4, 2, 4, 1, 3, 1, 3, 4, 2, 1, 4, 1, 0, 1, 1, 2, 0, 1, 3, 4, 1, 2, 4, 1, 1, 1, 0, 3, 1, 2, 1, 2, 2, 3, 1, 0, 1, 0, 4, 2, 3, 2, 1, 2, 1, 0, 3, 0, 3, 0, 3, 1, 3, 4, 1, 4, 4, 4, 2, 0, 3, 4, 3, 0, 1, 1, 2, 1, 2, 1, 4, 4, 0, 1, 4, 4, 2, 3, 1, 3, 0, 4, 2, 0, 0, 1, 3, 1, 2, 4, 0, 2, 3, 0, 1, 3, 0, 3, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 3, 3, 1, 1, 3, 3, 4, 4, 4, 1, 1, 0, 1, 4, 3, 0, 2, 3, 1, 4, 1, 4, 1, 4, 0, 4, 3, 1, 1, 1, 3, 1, 1, 3, 3, 0, 3, 3, 1, 1, 3, 3, 2, 0, 0, 1, 0, 1, 4, 1, 2, 2, 4, 0, 1, 0, 2, 4, 0, 1, 2, 3, 1, 3, 1, 2, 1, 0, 3, 3, 0, 2, 0, 0, 3, 2, 4, 0, 1, 2, 2, 1, 0, 3, 3, 0, 3, 0, 2, 2, 3, 4, 4, 4, 0, 1, 2, 4, 2, 3, 2, 0, 4, 1, 2, 3, 4, 3, 3, 3, 4, 1, 1, 1, 2, 3, 2, 4, 1, 2, 4, 4, 0, 2, 1, 2, 3, 2, 1, 3] pubkeycol1681 = [1, 3, 1, 4, 3, 2, 0, 0, 4, 4, 3, 3, 2, 4, 1, 2, 3, 3, 2, 3, 2, 0, 0, 1, 1, 1, 2, 4, 4, 2, 2, 4, 2, 4, 1, 4, 3, 1, 1, 3, 0, 1, 0, 1, 4, 1, 3, 0, 2, 3, 3, 3, 1, 3, 4, 4, 2, 4, 3, 2, 2, 1, 2, 0, 1, 4, 3, 1, 0, 0, 2, 1, 1, 2, 2, 4, 0, 1, 1, 0, 4, 3, 0, 4, 4, 0, 1, 1, 1, 4, 0, 3, 0, 3, 3, 2, 0, 3, 1, 1, 0, 2, 3, 0, 3, 3, 4, 3, 2, 1, 4, 1, 0, 2, 3, 0, 1, 4, 0, 1, 0, 2, 0, 0, 3, 3, 0, 4, 0, 4, 4, 1, 2, 1, 3, 2, 0, 2, 1, 1, 3, 1, 1, 2, 0, 2, 2, 2, 4, 0, 3, 2, 0, 3, 0, 2, 4, 2, 0, 0, 1, 2, 1, 4, 4, 2, 2, 0, 1, 1, 1, 4, 1, 2, 1, 3, 1, 0, 1, 0, 0, 4, 4, 0, 2, 1, 2, 1, 0, 2, 1, 0, 4, 3, 3, 0, 2, 4, 1, 4, 4, 0, 2, 4, 2, 0, 1, 3, 1, 4, 0, 4, 0, 4, 4, 3, 0, 2, 1, 1, 2, 2, 3, 2, 3, 4, 0, 3, 2, 1, 3, 4, 2, 4, 4, 0, 4, 1, 1, 1, 0, 0, 3, 4, 1, 0, 1, 0, 3, 1, 3, 2, 2, 0, 4, 4, 1, 2, 3, 1, 0, 2, 0, 3, 2, 0, 3, 2, 3, 3, 4, 3, 1, 4, 1, 3, 0, 2, 1, 4, 0, 3, 0, 1, 3, 3, 4, 2, 2, 0, 2, 3, 4, 3, 1, 1, 0, 2, 3, 3, 0, 2, 2, 3, 2, 3, 4, 0, 4, 3, 3, 1, 3, 2, 3, 0, 3, 4, 3, 0, 4, 0, 2, 1, 0, 3, 3, 0, 4, 0, 2, 0, 1, 3, 0, 1, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 3, 3, 4, 4, 0, 0, 1, 3, 1, 0, 4, 2, 3, 2, 0, 4, 0, 3, 1, 2, 3, 4, 2, 3, 1, 3, 2, 3, 0, 0, 4, 1, 0, 0, 4, 4, 0, 4, 1, 2, 3, 4, 2, 3, 0, 4, 3, 0, 0, 4, 0, 1, 3, 4] pubkeycol1682 = [3, 4, 2, 3, 2, 0, 3, 3, 3, 0, 3, 0, 1, 0, 4, 0, 4, 3, 2, 4, 3, 0, 0, 1, 4, 3, 4, 0, 1, 0, 3, 4, 1, 1, 3, 3, 3, 2, 1, 3, 2, 2, 1, 3, 4, 1, 0, 3, 1, 4, 3, 3, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 4, 1, 1, 1, 4, 0, 4, 0, 1, 3, 2, 0, 3, 3, 1, 1, 4, 2, 2, 2, 1, 1, 4, 0, 0, 3, 0, 4, 3, 3, 3, 3, 0, 0, 1, 1, 1, 2, 4, 3, 0, 1, 3, 4, 3, 2, 0, 3, 3, 0, 4, 0, 4, 3, 0, 2, 4, 2, 1, 3, 4, 2, 4, 4, 3, 2, 0, 1, 1, 2, 4, 4, 1, 2, 1, 4, 0, 1, 0, 4, 3, 4, 4, 0, 4, 0, 4, 0, 1, 2, 3, 2, 3, 0, 4, 1, 4, 3, 3, 0, 4, 2, 0, 2, 2, 0, 3, 0, 4, 1, 4, 1, 3, 3, 1, 4, 0, 4, 1, 4, 0, 0, 0, 1, 4, 1, 1, 1, 4, 1, 2, 1, 2, 0, 0, 0, 3, 1, 3, 0, 0, 1, 4, 2, 0, 0, 1, 1, 0, 3, 1, 1, 2, 3, 3, 1, 3, 0, 1, 4, 3, 3, 2, 0, 2, 3, 2, 4, 3, 2, 2, 0, 1, 3, 0, 3, 3, 4, 3, 3, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 3, 4, 3, 1, 4, 0, 1, 0, 3, 1, 0, 4, 0, 0, 3, 2, 0, 1, 2, 1, 1, 3, 2, 2, 1, 2, 2, 2, 3, 1, 1, 0, 1, 4, 1, 4, 2, 3, 3, 3, 3, 1, 1, 3, 4, 2, 2, 2, 4, 3, 0, 4, 0, 4, 1, 3, 0, 3, 1, 1, 1, 3, 4, 4, 3, 2, 1, 0, 2, 0, 1, 1, 3, 1, 1, 3, 3, 3, 2, 2, 0, 3, 0, 0, 1, 2, 4, 1, 1, 2, 4, 0, 2, 4, 3, 3, 4, 3, 4, 3, 0, 4, 0, 2, 0, 3, 4, 3, 1, 0, 3, 0, 0, 3, 3, 2, 0, 4, 0, 0, 1, 4, 3, 2, 0, 4, 3, 0, 3, 2, 4, 4, 2, 2, 1, 4, 1, 2, 1, 2, 3, 2] pubkeycol1683 = [1, 3, 2, 2, 0, 3, 1, 1, 0, 4, 2, 0, 0, 1, 4, 4, 0, 4, 1, 2, 2, 4, 2, 0, 1, 4, 0, 2, 0, 2, 1, 1, 2, 2, 4, 0, 2, 3, 3, 2, 1, 4, 1, 3, 2, 4, 2, 2, 3, 2, 2, 4, 2, 4, 4, 2, 3, 0, 2, 1, 4, 0, 0, 3, 4, 4, 3, 4, 2, 0, 0, 0, 1, 2, 0, 1, 0, 3, 3, 1, 0, 1, 0, 3, 1, 3, 1, 3, 0, 1, 1, 4, 4, 1, 2, 4, 2, 2, 1, 2, 1, 3, 3, 4, 4, 3, 2, 2, 3, 3, 0, 1, 3, 2, 2, 4, 3, 0, 4, 1, 3, 2, 4, 2, 3, 0, 1, 2, 1, 2, 4, 0, 0, 4, 2, 3, 0, 1, 2, 4, 2, 3, 0, 2, 0, 4, 1, 3, 1, 1, 1, 2, 0, 4, 0, 2, 0, 3, 3, 3, 0, 2, 2, 3, 0, 3, 0, 2, 1, 3, 0, 3, 2, 2, 2, 4, 0, 3, 1, 1, 3, 3, 3, 0, 0, 4, 0, 3, 1, 1, 4, 2, 3, 2, 0, 4, 3, 3, 1, 0, 1, 0, 1, 0, 0, 4, 3, 1, 1, 1, 0, 4, 2, 4, 1, 2, 3, 0, 2, 2, 1, 4, 2, 3, 4, 0, 4, 0, 4, 3, 2, 2, 0, 2, 2, 4, 2, 4, 1, 3, 3, 3, 2, 4, 0, 1, 1, 2, 4, 1, 1, 0, 0, 4, 0, 3, 3, 4, 0, 2, 3, 3, 4, 1, 2, 4, 1, 2, 2, 2, 2, 1, 3, 3, 0, 4, 3, 3, 4, 1, 0, 3, 2, 1, 4, 3, 2, 2, 1, 4, 2, 2, 3, 2, 0, 4, 0, 4, 1, 0, 4, 1, 4, 1, 4, 4, 0, 2, 0, 4, 3, 0, 4, 4, 3, 1, 1, 0, 2, 1, 4, 2, 3, 1, 2, 0, 1, 0, 2, 3, 4, 2, 2, 3, 2, 1, 0, 0, 2, 1, 4, 2, 2, 4, 2, 1, 0, 1, 2, 0, 4, 4, 2, 0, 3, 1, 1, 2, 1, 3, 0, 4, 2, 0, 4, 2, 1, 2, 4, 4, 0, 1, 0, 1, 4, 0, 4, 0, 4, 2, 2, 0, 1, 3, 2, 0, 2, 3, 1, 0, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2] pubkeycol1684 = [2, 2, 2, 1, 0, 3, 2, 2, 3, 4, 1, 1, 1, 4, 0, 4, 3, 2, 0, 3, 4, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 0, 4, 2, 4, 2, 2, 3, 2, 2, 0, 1, 4, 4, 3, 2, 4, 1, 0, 1, 1, 0, 0, 0, 4, 1, 0, 1, 2, 2, 4, 4, 2, 4, 3, 4, 0, 0, 0, 4, 2, 3, 2, 0, 0, 1, 1, 3, 2, 4, 3, 2, 0, 1, 1, 4, 4, 1, 1, 4, 4, 2, 0, 2, 4, 0, 3, 1, 4, 1, 3, 0, 1, 4, 3, 4, 2, 2, 2, 1, 2, 2, 0, 4, 1, 4, 4, 2, 1, 4, 2, 1, 4, 3, 1, 0, 0, 3, 2, 3, 2, 4, 4, 0, 1, 2, 3, 3, 1, 2, 4, 4, 0, 2, 0, 3, 1, 0, 2, 2, 3, 0, 2, 3, 0, 4, 4, 2, 3, 0, 1, 3, 3, 4, 2, 3, 0, 1, 2, 4, 0, 3, 0, 1, 4, 1, 3, 4, 4, 1, 2, 3, 4, 0, 0, 3, 2, 3, 2, 2, 1, 3, 4, 3, 2, 2, 3, 2, 1, 1, 4, 1, 1, 4, 0, 1, 1, 3, 3, 4, 3, 1, 1, 1, 2, 0, 0, 4, 0, 0, 0, 0, 2, 2, 3, 4, 4, 4, 3, 4, 3, 3, 0, 0, 3, 4, 0, 0, 0, 3, 2, 2, 4, 4, 2, 2, 4, 0, 0, 1, 1, 0, 4, 3, 1, 0, 0, 0, 3, 0, 0, 2, 2, 2, 0, 1, 0, 3, 1, 2, 3, 4, 3, 1, 0, 0, 4, 0, 0, 0, 2, 0, 2, 4, 3, 1, 2, 0, 4, 1, 1, 0, 0, 0, 1, 0, 0, 3, 3, 3, 3, 0, 2, 0, 0, 4, 4, 0, 1, 1, 2, 1, 1, 3, 3, 4, 4, 0, 4, 0, 3, 2, 2, 1, 2, 2, 0, 4, 3, 1, 3, 3, 3, 1, 3, 4, 3, 2, 4, 0, 0, 4, 3, 3, 0, 4, 2, 1, 1, 3, 0, 3, 0, 2, 4, 2, 1, 4, 1, 2, 0, 1, 2, 1, 0, 4, 3, 2, 0, 3, 2, 3, 1, 0, 4, 3, 2, 3, 4, 2, 1, 0, 3, 2, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 3, 3, 1, 2] pubkeycol1685 = [1, 3, 0, 0, 2, 4, 1, 1, 0, 4, 2, 4, 3, 1, 2, 3, 3, 4, 4, 0, 0, 1, 0, 4, 1, 1, 0, 4, 4, 0, 3, 2, 1, 4, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 3, 2, 2, 2, 3, 3, 4, 4, 1, 2, 1, 4, 2, 0, 1, 4, 0, 0, 0, 3, 0, 0, 4, 3, 3, 1, 1, 0, 1, 3, 2, 4, 2, 2, 4, 1, 4, 2, 1, 4, 4, 0, 4, 4, 3, 0, 3, 0, 2, 4, 3, 0, 2, 2, 1, 0, 3, 0, 0, 0, 3, 4, 2, 0, 4, 3, 2, 1, 1, 0, 1, 0, 4, 4, 2, 1, 3, 2, 4, 2, 2, 1, 1, 2, 4, 4, 1, 4, 4, 0, 3, 2, 3, 0, 0, 2, 2, 1, 3, 1, 0, 1, 4, 1, 4, 0, 2, 3, 4, 0, 0, 1, 2, 1, 0, 3, 1, 2, 0, 0, 4, 1, 3, 3, 0, 3, 0, 3, 2, 2, 1, 0, 0, 0, 1, 3, 2, 2, 0, 4, 3, 1, 0, 2, 3, 1, 2, 0, 4, 2, 4, 2, 3, 3, 2, 1, 4, 3, 2, 4, 4, 3, 0, 0, 2, 1, 3, 4, 3, 0, 2, 1, 0, 3, 0, 0, 3, 3, 0, 4, 4, 1, 2, 2, 3, 0, 0, 3, 4, 0, 1, 3, 2, 4, 0, 4, 2, 1, 4, 4, 3, 0, 0, 3, 0, 4, 1, 1, 1, 0, 0, 4, 3, 2, 1, 3, 1, 2, 3, 0, 1, 3, 1, 0, 3, 0, 4, 4, 1, 3, 1, 4, 0, 2, 0, 1, 2, 2, 0, 3, 3, 3, 1, 3, 4, 0, 1, 0, 2, 3, 4, 4, 0, 0, 4, 1, 3, 3, 1, 1, 3, 2, 2, 1, 3, 4, 2, 4, 1, 2, 1, 4, 3, 1, 2, 1, 4, 4, 1, 4, 0, 4, 4, 3, 2, 3, 1, 1, 2, 0, 4, 1, 0, 0, 0, 4, 4, 1, 3, 0, 3, 0, 0, 3, 1, 0, 1, 1, 0, 4, 3, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 3, 1, 2, 3, 0, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 4, 2, 4, 4, 0, 0, 3, 4, 0, 1, 3, 0, 2, 1, 1, 1, 2, 1, 3, 4] pubkeycol1686 = [4, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 3, 4, 0, 0, 4, 1, 1, 1, 2, 4, 3, 4, 2, 1, 3, 1, 2, 3, 3, 1, 4, 1, 1, 3, 1, 1, 4, 3, 3, 3, 0, 2, 3, 4, 1, 2, 3, 4, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 4, 0, 4, 2, 0, 3, 0, 4, 4, 3, 1, 0, 4, 1, 1, 4, 4, 2, 1, 2, 2, 4, 4, 2, 4, 3, 2, 4, 1, 1, 3, 1, 4, 4, 1, 4, 1, 1, 0, 1, 3, 2, 4, 4, 2, 2, 4, 0, 0, 3, 4, 3, 3, 0, 0, 4, 0, 4, 3, 0, 3, 2, 3, 3, 4, 4, 4, 4, 3, 0, 2, 1, 1, 0, 4, 3, 2, 2, 4, 0, 1, 4, 3, 1, 3, 0, 1, 1, 3, 1, 1, 2, 0, 4, 1, 0, 2, 3, 0, 0, 1, 2, 2, 3, 0, 3, 3, 4, 1, 1, 2, 1, 4, 1, 1, 1, 3, 2, 4, 0, 2, 0, 3, 1, 4, 2, 1, 0, 3, 1, 3, 0, 1, 1, 3, 3, 0, 0, 1, 3, 0, 2, 2, 2, 1, 0, 1, 1, 3, 1, 4, 1, 4, 3, 3, 4, 3, 0, 1, 2, 4, 1, 3, 2, 2, 2, 4, 4, 1, 3, 0, 3, 1, 3, 0, 2, 3, 1, 3, 4, 0, 2, 4, 2, 2, 1, 2, 1, 4, 2, 4, 1, 4, 2, 1, 2, 0, 2, 4, 1, 2, 1, 0, 1, 0, 3, 1, 2, 0, 4, 1, 2, 0, 4, 2, 2, 3, 1, 1, 2, 1, 2, 2, 1, 4, 4, 0, 3, 0, 4, 0, 4, 1, 2, 4, 0, 4, 0, 2, 0, 2, 3, 1, 4, 1, 3, 3, 1, 2, 0, 4, 0, 0, 4, 2, 3, 0, 2, 3, 0, 1, 2, 3, 0, 3, 4, 1, 2, 0, 4, 3, 1, 0, 1, 0, 1, 2, 4, 0, 0, 1, 0, 1, 0, 3, 1, 2, 3, 3, 4, 4, 4, 3, 2, 3, 0, 3, 0, 1, 3, 3, 2, 4, 2, 4, 0, 4, 3, 0, 3, 4, 3, 1, 4, 4, 3, 2, 1, 2, 4, 3, 4, 1, 1, 0, 3, 0, 0, 3, 1, 1, 4, 1, 4, 3, 3, 0, 3, 2] pubkeycol1687 = [0, 4, 4, 0, 1, 3, 4, 4, 2, 1, 4, 1, 4, 4, 0, 4, 4, 4, 3, 2, 4, 3, 0, 0, 3, 2, 3, 3, 2, 0, 4, 4, 3, 3, 1, 0, 4, 2, 3, 1, 2, 1, 2, 4, 2, 2, 4, 1, 0, 1, 0, 1, 3, 2, 4, 0, 1, 2, 4, 4, 4, 2, 4, 0, 3, 1, 2, 4, 4, 1, 3, 4, 1, 2, 3, 2, 0, 0, 4, 4, 1, 3, 1, 4, 4, 3, 4, 1, 1, 4, 2, 1, 2, 1, 0, 3, 1, 4, 0, 3, 0, 0, 1, 0, 0, 4, 3, 3, 0, 3, 0, 4, 2, 2, 4, 0, 3, 1, 1, 2, 3, 3, 0, 0, 3, 4, 0, 4, 1, 1, 0, 4, 0, 4, 4, 4, 1, 0, 4, 4, 4, 3, 0, 4, 0, 0, 0, 1, 0, 2, 3, 4, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 3, 0, 3, 2, 0, 3, 4, 1, 0, 0, 1, 0, 3, 0, 0, 3, 1, 1, 1, 1, 3, 4, 0, 3, 4, 0, 2, 2, 1, 3, 2, 3, 4, 2, 0, 1, 0, 2, 0, 4, 3, 2, 3, 4, 4, 4, 0, 2, 2, 2, 3, 4, 2, 1, 2, 4, 4, 0, 1, 3, 1, 4, 3, 1, 2, 4, 4, 2, 1, 4, 1, 0, 0, 4, 0, 3, 0, 4, 3, 1, 1, 1, 1, 3, 3, 0, 3, 4, 1, 2, 1, 4, 3, 2, 3, 3, 0, 2, 0, 1, 3, 0, 2, 1, 3, 0, 3, 0, 4, 4, 4, 3, 0, 0, 3, 2, 4, 0, 0, 0, 4, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 3, 4, 3, 2, 0, 1, 1, 0, 0, 0, 2, 4, 4, 1, 2, 0, 4, 4, 2, 4, 1, 4, 2, 4, 0, 4, 2, 4, 4, 4, 0, 1, 4, 4, 1, 4, 2, 0, 0, 3, 1, 2, 3, 4, 2, 2, 0, 0, 2, 1, 4, 2, 3, 3, 2, 0, 3, 0, 0, 1, 2, 1, 4, 3, 0, 3, 4, 4, 0, 2, 2, 1, 3, 4, 0, 3, 1, 4, 0, 3, 3, 0, 2, 0, 4, 3, 0, 2, 0, 0, 4, 2, 4, 3, 1, 1, 0, 2] pubkeycol1688 = [4, 1, 1, 2, 4, 1, 0, 0, 1, 2, 2, 1, 1, 3, 2, 4, 4, 3, 2, 4, 3, 4, 1, 2, 1, 2, 4, 4, 0, 0, 1, 4, 2, 3, 1, 0, 4, 0, 1, 2, 2, 3, 4, 3, 1, 1, 1, 0, 2, 0, 1, 3, 4, 3, 2, 1, 0, 1, 2, 3, 2, 4, 0, 0, 4, 2, 2, 2, 0, 4, 2, 2, 4, 2, 4, 2, 3, 4, 1, 4, 2, 1, 3, 2, 0, 3, 1, 2, 1, 1, 3, 1, 2, 2, 3, 0, 3, 0, 3, 0, 1, 3, 0, 0, 3, 0, 0, 2, 1, 4, 4, 0, 0, 1, 4, 3, 3, 2, 4, 2, 2, 4, 2, 1, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 1, 0, 0, 2, 2, 3, 2, 0, 1, 1, 2, 2, 4, 2, 2, 0, 3, 0, 2, 0, 1, 4, 3, 3, 4, 4, 2, 4, 3, 3, 1, 3, 3, 2, 1, 2, 0, 0, 4, 0, 0, 0, 2, 1, 4, 4, 2, 2, 2, 4, 1, 2, 2, 0, 4, 1, 3, 0, 2, 0, 0, 3, 1, 4, 4, 4, 1, 0, 2, 3, 4, 2, 2, 2, 0, 3, 4, 3, 2, 3, 4, 0, 2, 4, 1, 3, 0, 3, 3, 2, 2, 4, 1, 1, 1, 4, 1, 1, 0, 4, 0, 0, 3, 4, 0, 4, 3, 3, 1, 4, 2, 0, 3, 2, 1, 3, 0, 0, 4, 1, 2, 0, 2, 1, 4, 0, 3, 1, 1, 1, 0, 3, 3, 0, 0, 0, 0, 4, 0, 2, 3, 1, 0, 4, 1, 1, 3, 1, 2, 0, 4, 1, 2, 3, 3, 2, 2, 4, 3, 4, 4, 3, 1, 3, 0, 2, 2, 2, 4, 0, 1, 4, 0, 0, 2, 4, 0, 4, 1, 3, 0, 3, 4, 1, 4, 3, 1, 2, 1, 3, 0, 0, 4, 2, 1, 4, 0, 0, 3, 4, 2, 0, 3, 3, 3, 4, 0, 1, 3, 2, 3, 1, 3, 1, 3, 0, 3, 3, 4, 4, 2, 1, 2, 0, 4, 3, 1, 0, 3, 4, 4, 1, 0, 0, 3, 2, 1, 2, 4, 2, 1, 0, 4, 1, 2, 4, 3, 2, 3, 3, 0, 2, 4, 3, 3, 4, 1, 2, 1, 2, 4, 3, 2, 2, 1, 0] pubkeycol1689 = [1, 4, 2, 0, 3, 4, 2, 4, 3, 2, 0, 1, 1, 2, 1, 3, 4, 1, 2, 3, 0, 2, 1, 2, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 2, 2, 3, 1, 3, 4, 1, 1, 3, 3, 4, 2, 0, 3, 0, 0, 4, 3, 1, 0, 2, 1, 1, 4, 0, 3, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 4, 1, 3, 4, 2, 0, 0, 3, 2, 4, 3, 1, 0, 4, 1, 3, 1, 3, 0, 4, 2, 3, 3, 2, 1, 2, 4, 3, 2, 2, 2, 0, 1, 1, 4, 0, 0, 1, 4, 3, 2, 0, 3, 3, 3, 3, 0, 2, 4, 0, 4, 2, 4, 3, 3, 1, 3, 4, 0, 3, 3, 4, 0, 3, 1, 0, 2, 0, 3, 4, 3, 2, 0, 0, 2, 3, 0, 2, 2, 1, 3, 1, 3, 2, 0, 0, 1, 0, 3, 4, 1, 2, 0, 0, 2, 0, 2, 1, 4, 0, 2, 0, 1, 3, 1, 1, 4, 2, 3, 0, 0, 4, 4, 2, 0, 2, 2, 4, 1, 0, 1, 1, 1, 0, 2, 3, 2, 3, 2, 1, 1, 2, 4, 4, 1, 4, 0, 0, 2, 3, 4, 2, 4, 0, 4, 0, 3, 1, 1, 0, 4, 3, 1, 2, 3, 0, 2, 0, 2, 3, 4, 0, 2, 0, 1, 3, 1, 0, 4, 1, 3, 4, 2, 4, 1, 1, 2, 2, 3, 4, 1, 0, 0, 0, 2, 1, 1, 3, 4, 0, 2, 3, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 3, 2, 3, 0, 2, 4, 3, 4, 4, 0, 1, 4, 2, 2, 3, 0, 2, 3, 4, 3, 3, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 4, 3, 2, 2, 0, 0, 0, 2, 2, 0, 2, 3, 3, 4, 3, 0, 4, 3, 3, 4, 1, 2, 0, 0, 2, 3, 1, 4, 1, 3, 4, 4, 4, 0, 4, 3, 3, 0, 4, 1, 1, 4, 3, 0, 2, 2, 4, 0, 1, 3, 3, 1, 3, 3, 4, 1, 0, 1, 1, 1, 0, 0, 2, 1, 4, 3, 4, 3, 1, 0, 3, 4, 3, 1, 2, 4, 3, 0, 2, 1, 0, 2, 0, 4, 2, 2, 1, 3, 0, 1, 3, 3] pubkeycol1690 = [1, 0, 0, 4, 3, 3, 3, 3, 2, 0, 1, 3, 1, 2, 0, 2, 1, 2, 0, 0, 4, 3, 0, 1, 0, 3, 2, 4, 2, 2, 1, 1, 3, 3, 0, 0, 1, 2, 4, 3, 3, 1, 2, 4, 4, 3, 0, 4, 3, 0, 4, 4, 0, 1, 1, 3, 0, 4, 4, 3, 1, 0, 0, 3, 4, 2, 3, 4, 3, 0, 3, 2, 4, 3, 3, 2, 2, 4, 1, 0, 0, 0, 3, 0, 2, 4, 2, 4, 3, 2, 2, 1, 0, 2, 3, 0, 2, 3, 4, 1, 3, 2, 0, 1, 0, 4, 3, 4, 3, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 3, 1, 4, 1, 2, 4, 2, 0, 4, 2, 4, 3, 3, 2, 3, 3, 0, 2, 1, 1, 1, 0, 4, 1, 3, 1, 1, 1, 4, 3, 3, 0, 0, 4, 1, 4, 0, 2, 4, 2, 4, 4, 3, 3, 1, 3, 2, 0, 1, 2, 1, 3, 1, 2, 2, 4, 0, 3, 0, 2, 1, 4, 2, 3, 4, 2, 1, 0, 0, 4, 4, 1, 2, 2, 4, 1, 2, 2, 0, 1, 3, 2, 3, 0, 4, 4, 4, 3, 2, 0, 4, 3, 3, 3, 3, 2, 0, 2, 3, 2, 1, 3, 4, 1, 2, 3, 3, 4, 0, 1, 1, 3, 1, 4, 1, 3, 4, 0, 4, 3, 1, 1, 4, 1, 0, 3, 4, 2, 3, 1, 0, 1, 1, 0, 3, 4, 1, 0, 3, 4, 0, 4, 1, 2, 1, 2, 1, 4, 2, 0, 4, 1, 4, 2, 4, 2, 4, 4, 3, 1, 1, 3, 4, 0, 2, 0, 4, 1, 2, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 4, 4, 4, 3, 1, 4, 2, 2, 3, 1, 4, 2, 3, 1, 2, 1, 3, 2, 4, 3, 1, 3, 3, 2, 0, 1, 3, 0, 4, 2, 1, 3, 3, 0, 2, 0, 2, 1, 4, 4, 2, 4, 1, 0, 3, 1, 3, 1, 3, 4, 4, 0, 0, 4, 4, 2, 0, 2, 2, 4, 1, 1, 3, 3, 0, 1, 4, 0, 3, 1, 4, 1, 0, 4, 3, 0, 4, 2, 1, 3, 2, 2, 0, 4, 3, 0, 3, 3, 3, 1, 2, 2] pubkeycol1691 = [0, 3, 2, 4, 4, 0, 3, 4, 1, 1, 2, 4, 2, 3, 3, 3, 2, 0, 2, 1, 2, 4, 1, 0, 1, 1, 1, 3, 0, 0, 0, 0, 0, 0, 1, 0, 3, 3, 4, 0, 3, 3, 4, 4, 4, 0, 0, 4, 0, 4, 2, 4, 4, 0, 1, 1, 1, 0, 3, 0, 4, 1, 3, 0, 4, 0, 3, 3, 0, 4, 0, 0, 1, 0, 1, 0, 3, 2, 2, 4, 2, 2, 1, 1, 0, 3, 1, 0, 4, 0, 1, 4, 3, 2, 1, 1, 0, 1, 2, 0, 0, 4, 2, 3, 3, 3, 0, 0, 2, 4, 0, 2, 2, 2, 1, 2, 3, 2, 3, 1, 4, 3, 1, 3, 1, 2, 0, 0, 1, 2, 2, 0, 1, 3, 4, 3, 2, 3, 4, 4, 3, 1, 3, 1, 1, 2, 0, 0, 1, 3, 2, 3, 2, 4, 0, 4, 3, 4, 4, 2, 1, 4, 4, 1, 1, 3, 4, 4, 2, 2, 3, 2, 4, 4, 1, 0, 4, 4, 1, 0, 1, 1, 4, 4, 0, 0, 4, 2, 1, 0, 4, 2, 2, 2, 0, 4, 2, 1, 3, 4, 1, 1, 1, 4, 1, 3, 2, 3, 3, 4, 2, 2, 3, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 4, 2, 4, 0, 0, 4, 0, 0, 4, 0, 1, 3, 4, 4, 3, 1, 1, 3, 2, 3, 3, 0, 2, 3, 2, 1, 3, 3, 0, 2, 1, 2, 4, 2, 2, 4, 3, 1, 3, 4, 4, 2, 0, 0, 4, 4, 4, 0, 0, 0, 3, 2, 0, 2, 3, 2, 4, 4, 2, 1, 0, 3, 2, 3, 1, 4, 2, 0, 3, 4, 4, 0, 4, 0, 3, 3, 0, 1, 0, 1, 3, 4, 1, 2, 2, 3, 1, 1, 1, 2, 0, 3, 4, 1, 3, 3, 3, 4, 3, 1, 1, 4, 4, 3, 4, 4, 3, 3, 1, 3, 3, 4, 2, 3, 0, 3, 1, 0, 4, 3, 4, 2, 2, 0, 0, 3, 3, 1, 3, 3, 4, 3, 2, 4, 3, 2, 1, 2, 2, 3, 0, 1, 2, 1, 4, 4, 1, 0, 1, 3, 0, 1, 2, 1, 0, 4, 0, 3, 2, 3, 3, 3, 1, 3, 2, 2, 2, 4, 0, 1, 0, 2, 3, 3, 3] pubkeycol1692 = [3, 3, 3, 2, 1, 0, 3, 4, 2, 4, 3, 2, 2, 1, 0, 0, 2, 2, 3, 3, 0, 1, 1, 3, 1, 4, 1, 3, 3, 0, 4, 3, 4, 0, 2, 4, 1, 2, 3, 0, 4, 3, 3, 0, 2, 2, 3, 0, 0, 3, 3, 3, 1, 1, 3, 0, 2, 1, 2, 4, 0, 2, 1, 1, 1, 2, 0, 2, 4, 1, 3, 3, 2, 0, 3, 0, 0, 4, 0, 0, 2, 3, 1, 3, 3, 1, 0, 1, 2, 4, 0, 2, 1, 2, 0, 4, 0, 0, 3, 4, 1, 2, 1, 4, 1, 3, 4, 0, 2, 3, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 3, 3, 1, 2, 4, 3, 3, 1, 4, 2, 4, 2, 0, 4, 1, 3, 4, 2, 1, 4, 3, 1, 3, 0, 0, 4, 2, 4, 1, 0, 1, 2, 1, 0, 3, 1, 4, 0, 0, 2, 4, 1, 0, 4, 4, 2, 1, 0, 1, 0, 3, 3, 0, 0, 1, 4, 0, 3, 2, 1, 2, 1, 1, 1, 2, 0, 3, 2, 4, 2, 3, 3, 3, 1, 0, 0, 0, 0, 3, 0, 0, 1, 4, 0, 0, 1, 3, 3, 3, 3, 1, 2, 1, 4, 1, 3, 1, 0, 3, 2, 4, 1, 0, 4, 3, 4, 4, 2, 3, 1, 1, 0, 0, 4, 0, 1, 0, 4, 0, 0, 3, 3, 2, 3, 1, 4, 0, 0, 2, 3, 1, 2, 2, 1, 4, 2, 0, 2, 1, 3, 2, 3, 0, 0, 0, 2, 3, 0, 3, 0, 0, 0, 4, 0, 3, 1, 0, 0, 2, 1, 3, 2, 3, 4, 3, 1, 4, 0, 2, 1, 0, 4, 3, 3, 2, 3, 3, 4, 4, 4, 3, 1, 1, 3, 0, 4, 3, 0, 4, 1, 2, 4, 0, 4, 3, 3, 2, 1, 0, 4, 2, 3, 0, 3, 3, 3, 2, 2, 0, 0, 1, 0, 2, 4, 4, 0, 4, 4, 1, 3, 3, 1, 1, 0, 2, 2, 3, 0, 3, 2, 1, 1, 0, 4, 3, 2, 3, 1, 3, 2, 0, 1, 2, 0, 0, 3, 0, 2, 1, 1, 1, 4, 4, 1, 4, 0, 4, 3, 2, 4, 2, 3, 2, 0, 4, 1, 0, 3, 2, 3, 0, 4, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol1693 = [3, 3, 1, 1, 1, 4, 3, 2, 4, 1, 0, 2, 0, 4, 4, 0, 3, 1, 0, 2, 4, 3, 3, 0, 4, 3, 4, 2, 1, 1, 3, 0, 4, 4, 4, 0, 1, 1, 3, 4, 0, 4, 1, 4, 0, 4, 3, 1, 4, 2, 3, 4, 3, 1, 4, 4, 0, 1, 1, 2, 3, 3, 4, 3, 1, 1, 2, 3, 4, 4, 1, 0, 1, 1, 2, 2, 0, 4, 4, 2, 2, 3, 3, 2, 1, 3, 1, 0, 0, 1, 4, 3, 1, 2, 0, 1, 2, 0, 1, 1, 2, 3, 3, 4, 2, 3, 4, 4, 1, 1, 3, 2, 4, 4, 1, 1, 0, 2, 2, 0, 3, 0, 0, 3, 2, 2, 0, 3, 0, 3, 2, 0, 2, 2, 3, 3, 3, 3, 1, 2, 0, 0, 0, 4, 4, 4, 3, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 3, 3, 4, 0, 1, 0, 3, 2, 1, 1, 2, 1, 1, 4, 3, 2, 0, 1, 0, 4, 1, 2, 1, 0, 0, 0, 0, 0, 4, 4, 2, 1, 4, 3, 0, 4, 4, 1, 1, 4, 3, 4, 4, 3, 3, 2, 0, 1, 0, 2, 2, 0, 2, 0, 4, 1, 2, 0, 0, 3, 2, 3, 3, 2, 1, 3, 1, 3, 3, 3, 3, 0, 2, 2, 1, 0, 1, 4, 2, 2, 0, 1, 3, 2, 4, 3, 1, 4, 1, 0, 3, 4, 2, 0, 1, 3, 3, 3, 4, 0, 4, 3, 0, 4, 2, 0, 1, 4, 3, 3, 1, 2, 1, 3, 0, 1, 2, 2, 4, 1, 2, 3, 1, 4, 2, 3, 2, 1, 2, 2, 1, 4, 2, 0, 2, 0, 3, 1, 0, 1, 4, 4, 3, 2, 4, 1, 2, 4, 3, 3, 2, 2, 3, 0, 3, 1, 3, 0, 3, 2, 4, 4, 2, 4, 0, 4, 4, 1, 2, 1, 2, 3, 3, 3, 0, 0, 2, 1, 4, 1, 0, 3, 2, 1, 3, 1, 4, 4, 3, 3, 4, 2, 0, 0, 1, 4, 4, 4, 0, 4, 3, 1, 0, 0, 2, 0, 4, 3, 3, 0, 4, 1, 0, 2, 1, 2, 0, 0, 3, 1, 3, 1, 3, 2, 2, 4, 3, 4, 4, 3, 0, 0, 3, 2, 1, 4, 0, 2, 0, 3, 1, 0, 3] pubkeycol1694 = [0, 4, 1, 3, 4, 0, 0, 2, 0, 1, 0, 2, 2, 0, 3, 2, 0, 3, 3, 4, 2, 3, 1, 0, 1, 3, 4, 1, 3, 0, 2, 4, 3, 0, 3, 4, 3, 1, 4, 4, 0, 0, 1, 0, 3, 2, 4, 4, 2, 2, 1, 0, 2, 1, 2, 0, 0, 4, 0, 1, 2, 3, 4, 3, 1, 2, 0, 4, 1, 4, 0, 4, 0, 4, 3, 0, 0, 1, 3, 4, 4, 1, 4, 4, 1, 2, 1, 2, 3, 4, 3, 2, 4, 0, 3, 1, 3, 1, 3, 0, 0, 0, 0, 4, 3, 0, 3, 3, 4, 4, 1, 4, 1, 1, 1, 0, 3, 1, 3, 1, 2, 4, 3, 4, 2, 4, 1, 0, 2, 3, 3, 0, 3, 3, 3, 4, 3, 0, 0, 1, 1, 0, 0, 4, 0, 2, 3, 1, 0, 2, 1, 0, 0, 4, 0, 4, 2, 4, 4, 3, 4, 0, 4, 2, 1, 4, 4, 1, 3, 3, 1, 4, 4, 2, 3, 2, 0, 2, 1, 1, 2, 2, 1, 3, 4, 4, 2, 1, 1, 4, 3, 1, 2, 1, 3, 4, 4, 2, 3, 1, 2, 0, 0, 1, 2, 3, 2, 0, 2, 2, 4, 0, 1, 3, 0, 3, 3, 2, 4, 0, 4, 3, 2, 4, 4, 3, 3, 1, 0, 4, 0, 4, 3, 4, 3, 1, 0, 1, 4, 1, 0, 3, 0, 4, 3, 3, 1, 2, 4, 1, 3, 4, 4, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 3, 0, 1, 3, 1, 0, 3, 1, 0, 0, 2, 1, 2, 4, 2, 1, 0, 3, 1, 3, 4, 2, 1, 1, 4, 4, 2, 4, 1, 3, 3, 0, 3, 0, 0, 3, 3, 2, 3, 0, 2, 3, 4, 0, 4, 1, 1, 0, 1, 4, 4, 4, 1, 4, 0, 0, 4, 2, 3, 3, 3, 3, 0, 1, 1, 2, 0, 4, 0, 0, 4, 3, 4, 1, 3, 4, 2, 4, 4, 0, 3, 2, 2, 2, 3, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 4, 3, 4, 2, 1, 4, 4, 4, 3, 0, 2, 1, 3, 1, 3, 1, 3, 1, 4, 2, 2, 3, 2, 0, 1, 2, 4, 0, 0, 0, 3, 2, 1, 4, 1] pubkeycol1695 = [2, 4, 3, 0, 0, 1, 3, 0, 4, 3, 0, 3, 2, 2, 2, 0, 2, 0, 1, 0, 2, 3, 1, 1, 4, 4, 2, 3, 3, 2, 3, 0, 4, 2, 2, 2, 4, 2, 1, 1, 2, 1, 2, 4, 1, 4, 4, 2, 1, 2, 3, 1, 0, 0, 3, 4, 0, 4, 0, 0, 3, 4, 3, 3, 1, 1, 3, 1, 2, 0, 3, 2, 1, 2, 4, 1, 2, 0, 4, 0, 3, 4, 1, 4, 3, 4, 2, 1, 0, 3, 3, 3, 2, 4, 1, 2, 1, 0, 2, 0, 0, 4, 2, 4, 4, 0, 2, 0, 3, 4, 3, 2, 3, 2, 1, 1, 4, 2, 2, 4, 0, 4, 2, 1, 1, 3, 2, 4, 4, 4, 4, 2, 0, 1, 1, 1, 3, 4, 1, 4, 2, 1, 2, 3, 4, 0, 1, 0, 3, 2, 1, 0, 4, 1, 0, 4, 2, 2, 2, 2, 0, 3, 2, 2, 3, 2, 3, 3, 1, 0, 1, 4, 4, 4, 3, 3, 2, 1, 0, 4, 0, 1, 1, 3, 4, 2, 1, 0, 4, 4, 3, 3, 0, 2, 4, 4, 4, 4, 3, 1, 3, 0, 2, 4, 2, 2, 4, 4, 3, 1, 1, 0, 4, 1, 0, 2, 1, 2, 2, 4, 2, 3, 3, 0, 1, 1, 4, 1, 3, 2, 4, 3, 1, 4, 1, 0, 3, 3, 4, 1, 0, 4, 1, 3, 2, 3, 4, 4, 2, 2, 4, 3, 2, 0, 3, 4, 4, 4, 2, 1, 4, 0, 0, 3, 2, 2, 2, 3, 0, 4, 0, 2, 4, 3, 0, 3, 3, 1, 3, 0, 3, 0, 2, 4, 3, 4, 2, 1, 0, 0, 4, 1, 0, 2, 3, 0, 0, 0, 0, 2, 1, 3, 4, 2, 3, 2, 1, 1, 3, 2, 3, 4, 1, 2, 1, 2, 4, 4, 3, 1, 0, 1, 3, 0, 2, 4, 4, 1, 3, 1, 2, 3, 4, 0, 4, 2, 3, 0, 4, 1, 0, 1, 0, 1, 3, 3, 1, 4, 4, 3, 4, 0, 2, 4, 1, 2, 0, 0, 3, 1, 1, 4, 4, 0, 1, 4, 3, 2, 2, 1, 2, 1, 0, 4, 2, 2, 4, 2, 2, 2, 2, 0, 0, 1, 4, 4, 4, 2, 3, 2, 4, 3, 4, 3, 2, 1, 2, 0, 4, 3] pubkeycol1696 = [3, 0, 3, 2, 4, 2, 4, 4, 1, 4, 3, 0, 4, 3, 1, 2, 1, 2, 2, 2, 0, 4, 3, 0, 2, 1, 1, 1, 4, 0, 3, 3, 4, 1, 3, 4, 4, 4, 2, 3, 1, 4, 1, 2, 2, 0, 2, 2, 2, 1, 1, 3, 2, 4, 3, 4, 3, 4, 1, 1, 2, 1, 1, 2, 2, 3, 1, 0, 1, 4, 0, 2, 3, 1, 4, 2, 3, 4, 3, 2, 0, 4, 4, 3, 1, 4, 1, 2, 4, 1, 2, 4, 0, 2, 1, 3, 4, 1, 2, 3, 4, 3, 3, 4, 3, 0, 3, 3, 0, 2, 2, 4, 3, 3, 4, 1, 0, 1, 3, 0, 2, 1, 0, 4, 2, 3, 4, 1, 2, 1, 4, 2, 4, 0, 4, 2, 0, 3, 1, 3, 4, 4, 2, 4, 1, 2, 1, 4, 4, 1, 1, 3, 3, 1, 3, 2, 4, 3, 3, 0, 4, 0, 0, 1, 4, 2, 2, 4, 1, 2, 3, 1, 1, 3, 3, 2, 3, 2, 0, 2, 1, 3, 3, 2, 1, 3, 0, 0, 2, 4, 2, 3, 1, 0, 0, 1, 0, 0, 1, 1, 3, 3, 0, 2, 1, 1, 4, 0, 2, 4, 0, 0, 0, 2, 1, 3, 4, 0, 0, 0, 3, 4, 4, 1, 2, 0, 1, 2, 3, 4, 4, 1, 3, 0, 1, 3, 1, 0, 0, 1, 2, 0, 3, 4, 3, 2, 0, 4, 2, 2, 0, 2, 2, 3, 3, 0, 0, 3, 1, 4, 3, 3, 2, 4, 2, 0, 0, 0, 1, 1, 2, 0, 4, 4, 2, 3, 1, 4, 0, 1, 4, 3, 4, 4, 4, 4, 2, 0, 4, 2, 4, 4, 3, 2, 1, 3, 0, 4, 2, 3, 0, 2, 0, 2, 3, 4, 2, 4, 1, 3, 0, 1, 1, 3, 4, 3, 4, 3, 4, 1, 3, 3, 4, 0, 1, 2, 1, 3, 2, 0, 4, 1, 4, 1, 2, 2, 2, 1, 1, 3, 1, 3, 0, 2, 1, 1, 0, 3, 4, 0, 4, 1, 3, 2, 2, 2, 1, 3, 1, 2, 0, 3, 4, 3, 2, 1, 2, 4, 4, 2, 0, 4, 1, 4, 3, 4, 2, 1, 4, 1, 2, 0, 0, 4, 0, 4, 2, 0, 3, 2, 2, 4, 3, 2, 0, 0, 1, 1, 2, 4] pubkeycol1697 = [4, 2, 3, 1, 1, 4, 3, 3, 0, 0, 1, 3, 0, 3, 4, 3, 4, 2, 0, 4, 0, 0, 0, 2, 4, 4, 4, 3, 2, 4, 1, 4, 1, 4, 2, 2, 2, 1, 1, 1, 1, 3, 4, 2, 3, 0, 2, 0, 0, 1, 2, 0, 4, 0, 2, 0, 3, 2, 3, 2, 3, 2, 3, 2, 0, 3, 3, 3, 0, 4, 2, 3, 3, 3, 0, 2, 2, 3, 4, 1, 4, 0, 3, 0, 1, 0, 1, 2, 1, 0, 3, 4, 0, 1, 2, 0, 3, 2, 4, 3, 0, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 4, 3, 1, 2, 4, 2, 2, 0, 0, 3, 0, 3, 1, 2, 1, 4, 4, 0, 3, 4, 4, 3, 1, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 2, 1, 0, 3, 1, 2, 1, 3, 2, 1, 0, 1, 1, 2, 3, 4, 2, 1, 0, 3, 3, 2, 1, 2, 4, 2, 1, 2, 4, 1, 1, 4, 3, 3, 1, 1, 2, 0, 0, 4, 3, 3, 2, 3, 1, 2, 2, 0, 1, 2, 2, 4, 0, 1, 3, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 3, 4, 3, 2, 3, 4, 1, 4, 4, 3, 3, 0, 0, 4, 3, 1, 0, 3, 1, 4, 3, 1, 2, 4, 1, 1, 0, 4, 3, 1, 4, 1, 0, 1, 4, 2, 0, 0, 3, 1, 3, 3, 2, 3, 2, 3, 3, 2, 1, 1, 4, 4, 3, 2, 0, 2, 2, 1, 2, 3, 3, 0, 4, 2, 4, 2, 3, 3, 4, 1, 0, 3, 0, 2, 0, 3, 1, 2, 1, 4, 1, 2, 3, 1, 1, 1, 2, 0, 3, 0, 1, 3, 2, 2, 0, 0, 0, 2, 1, 1, 2, 3, 4, 4, 0, 4, 3, 3, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 3, 3, 4, 4, 0, 1, 0, 3, 0, 1, 4, 4, 1, 2, 4, 0, 1, 4, 0, 2, 0, 3, 1, 0, 4, 0, 0, 1, 4, 4, 3, 2, 2, 0, 0, 1, 4, 4, 1, 3, 4, 4, 4, 3, 3, 0, 2, 0, 2, 3, 1, 1, 4, 4, 4, 4, 4, 1, 4, 4, 4, 3, 0, 2, 3, 0, 1, 4, 3, 1] pubkeycol1698 = [2, 2, 4, 2, 4, 0, 1, 3, 3, 2, 3, 0, 4, 3, 4, 2, 4, 1, 4, 1, 3, 0, 0, 3, 2, 4, 4, 1, 4, 4, 3, 1, 0, 1, 1, 2, 4, 1, 3, 3, 1, 1, 2, 4, 0, 4, 4, 0, 3, 0, 1, 1, 3, 1, 2, 1, 3, 3, 2, 2, 0, 1, 4, 2, 0, 4, 2, 0, 0, 4, 4, 4, 3, 4, 3, 4, 0, 0, 1, 0, 2, 0, 1, 0, 1, 3, 3, 2, 0, 3, 4, 3, 0, 4, 3, 1, 4, 0, 1, 0, 4, 0, 2, 2, 2, 4, 0, 0, 0, 0, 1, 3, 2, 3, 0, 3, 4, 3, 2, 1, 3, 3, 0, 4, 1, 0, 4, 3, 4, 0, 2, 2, 1, 4, 2, 0, 4, 1, 1, 4, 2, 4, 3, 4, 2, 4, 0, 1, 2, 2, 0, 1, 3, 4, 3, 4, 4, 3, 1, 3, 2, 4, 4, 0, 0, 4, 4, 3, 4, 1, 2, 4, 1, 1, 0, 0, 0, 0, 4, 2, 2, 0, 0, 2, 0, 1, 4, 4, 0, 4, 2, 1, 1, 2, 4, 1, 2, 4, 4, 0, 1, 0, 3, 0, 2, 4, 0, 3, 3, 4, 3, 1, 2, 2, 2, 4, 3, 1, 3, 0, 0, 1, 1, 0, 2, 1, 3, 1, 3, 4, 0, 0, 3, 1, 2, 0, 1, 3, 2, 1, 4, 0, 2, 1, 1, 2, 2, 3, 3, 1, 0, 1, 0, 4, 1, 4, 0, 2, 1, 1, 0, 2, 3, 0, 2, 4, 2, 3, 1, 3, 1, 4, 4, 4, 1, 2, 3, 3, 2, 4, 3, 3, 4, 1, 4, 0, 0, 2, 4, 0, 2, 3, 4, 0, 0, 1, 3, 2, 4, 0, 4, 4, 3, 1, 0, 1, 4, 2, 0, 1, 1, 4, 1, 4, 3, 1, 1, 3, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 4, 2, 4, 3, 4, 3, 4, 0, 3, 1, 1, 4, 0, 1, 3, 0, 0, 2, 1, 4, 2, 3, 4, 0, 0, 4, 3, 4, 3, 0, 3, 2, 1, 3, 0, 2, 0, 4, 0, 4, 3, 1, 3, 4, 1, 1, 3, 0, 0, 4, 2, 2, 3, 0, 1, 3, 0, 3, 2, 4, 4, 4, 4, 3, 0, 1, 0, 4, 3, 1] pubkeycol1699 = [4, 2, 1, 2, 2, 3, 4, 4, 4, 4, 3, 0, 4, 4, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 3, 1, 1, 1, 0, 0, 4, 4, 3, 2, 3, 2, 0, 4, 2, 3, 2, 1, 4, 1, 0, 3, 1, 3, 2, 4, 4, 1, 2, 0, 0, 4, 3, 0, 2, 2, 1, 1, 0, 2, 1, 1, 4, 2, 2, 1, 4, 2, 3, 4, 2, 4, 0, 0, 0, 3, 0, 4, 1, 0, 3, 1, 2, 0, 0, 2, 4, 0, 3, 2, 4, 1, 1, 2, 1, 4, 2, 1, 2, 2, 3, 0, 0, 0, 2, 4, 0, 1, 0, 4, 4, 4, 1, 4, 3, 1, 0, 0, 3, 4, 2, 4, 4, 2, 1, 0, 2, 0, 1, 3, 2, 3, 0, 2, 2, 0, 4, 0, 0, 1, 2, 1, 3, 1, 1, 0, 4, 2, 3, 2, 0, 2, 1, 3, 2, 4, 1, 3, 2, 2, 0, 1, 1, 3, 3, 2, 0, 4, 1, 0, 1, 0, 2, 1, 3, 2, 1, 4, 1, 0, 0, 2, 4, 2, 2, 2, 0, 3, 2, 0, 4, 3, 2, 4, 4, 1, 3, 1, 0, 2, 2, 1, 0, 1, 3, 4, 4, 3, 1, 0, 1, 3, 4, 3, 0, 1, 4, 3, 4, 4, 1, 2, 4, 0, 1, 4, 0, 0, 2, 3, 1, 4, 4, 0, 0, 0, 1, 4, 2, 3, 0, 0, 4, 3, 4, 4, 4, 2, 0, 3, 1, 3, 4, 1, 2, 2, 1, 1, 0, 2, 1, 1, 3, 4, 3, 1, 2, 3, 0, 2, 1, 2, 3, 1, 0, 4, 2, 0, 2, 1, 2, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 3, 0, 2, 3, 0, 3, 4, 0, 1, 2, 0, 2, 2, 0, 1, 4, 0, 0, 3, 4, 2, 0, 1, 3, 3, 1, 2, 2, 0, 3, 4, 2, 3, 0, 1, 4, 0, 1, 2, 3, 0, 4, 2, 3, 4, 4, 0, 0, 2, 4, 4, 4, 2, 2, 4, 4, 0, 3, 4, 1, 1, 3, 4, 4, 0, 0, 1, 0, 1, 1, 2, 3, 4, 3, 0, 1, 3, 2, 3, 4, 2, 1, 4, 1, 0, 4, 3, 0, 3, 2, 0, 0, 1, 4, 4, 2, 1, 1, 1, 0, 0, 2] pubkeycol1700 = [1, 0, 2, 3, 1, 3, 0, 3, 2, 2, 3, 4, 4, 4, 4, 1, 1, 2, 0, 2, 1, 1, 3, 3, 2, 1, 2, 0, 4, 2, 2, 2, 2, 3, 2, 3, 0, 4, 4, 3, 3, 1, 0, 3, 4, 1, 1, 0, 0, 3, 2, 2, 4, 2, 4, 2, 4, 0, 0, 2, 3, 2, 0, 4, 4, 2, 2, 1, 3, 2, 3, 2, 4, 1, 4, 2, 4, 1, 2, 1, 2, 4, 3, 2, 4, 0, 4, 1, 4, 3, 1, 4, 1, 0, 1, 1, 0, 3, 3, 3, 2, 1, 2, 3, 1, 3, 0, 3, 1, 2, 0, 1, 1, 4, 4, 0, 3, 2, 0, 1, 2, 3, 2, 4, 2, 0, 3, 0, 4, 3, 1, 4, 1, 0, 4, 4, 2, 0, 1, 1, 3, 0, 4, 0, 1, 1, 1, 0, 0, 3, 1, 3, 2, 0, 0, 2, 3, 2, 1, 0, 1, 4, 0, 0, 2, 3, 2, 3, 1, 3, 2, 4, 4, 4, 3, 1, 2, 1, 0, 4, 2, 2, 2, 1, 3, 1, 2, 3, 4, 3, 0, 4, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 3, 4, 3, 3, 2, 1, 2, 4, 4, 2, 1, 4, 1, 1, 3, 4, 0, 2, 3, 2, 0, 4, 3, 2, 2, 0, 4, 2, 1, 2, 3, 0, 1, 2, 3, 2, 3, 4, 2, 2, 3, 2, 3, 0, 0, 2, 0, 4, 2, 4, 4, 1, 4, 1, 4, 3, 1, 3, 0, 4, 2, 4, 4, 2, 1, 4, 3, 1, 2, 4, 3, 0, 2, 2, 2, 0, 3, 1, 2, 3, 4, 1, 4, 1, 1, 2, 2, 1, 3, 3, 1, 3, 4, 0, 2, 1, 3, 3, 0, 1, 4, 4, 4, 1, 3, 1, 0, 0, 0, 3, 1, 1, 3, 2, 2, 1, 2, 4, 1, 2, 3, 0, 1, 2, 4, 1, 4, 3, 1, 4, 0, 2, 2, 2, 4, 3, 1, 4, 2, 2, 4, 1, 4, 0, 3, 0, 3, 4, 2, 3, 1, 4, 4, 2, 1, 1, 2, 1, 1, 2, 0, 0, 4, 1, 4, 2, 3, 2, 0, 3, 1, 4, 0, 1, 1, 0, 0, 4, 1, 2, 4, 2, 2, 3, 0, 3, 2, 2, 3, 2, 3, 3, 3, 0, 3] pubkeycol1701 = [3, 3, 4, 1, 4, 2, 1, 2, 4, 4, 0, 4, 2, 3, 0, 0, 2, 1, 1, 4, 1, 4, 4, 2, 4, 4, 4, 3, 1, 3, 1, 4, 2, 0, 1, 4, 0, 2, 4, 4, 2, 2, 3, 0, 1, 1, 2, 4, 3, 3, 2, 3, 1, 1, 0, 2, 4, 2, 2, 3, 2, 2, 0, 4, 2, 3, 0, 4, 2, 2, 1, 3, 3, 4, 2, 4, 4, 2, 0, 3, 4, 1, 0, 3, 0, 0, 2, 3, 4, 0, 1, 4, 0, 0, 0, 1, 4, 1, 0, 0, 0, 4, 2, 0, 3, 1, 1, 2, 3, 0, 1, 0, 2, 0, 1, 1, 2, 3, 0, 1, 4, 2, 3, 1, 3, 4, 3, 0, 0, 3, 3, 3, 1, 1, 2, 3, 1, 3, 3, 0, 2, 4, 1, 1, 0, 4, 3, 3, 1, 0, 1, 3, 0, 1, 4, 0, 1, 2, 3, 3, 1, 0, 1, 2, 3, 3, 1, 0, 3, 4, 0, 3, 0, 2, 4, 4, 2, 1, 1, 0, 2, 3, 2, 0, 2, 3, 4, 1, 3, 4, 2, 2, 1, 0, 1, 4, 3, 1, 1, 0, 4, 0, 3, 4, 4, 3, 0, 0, 3, 1, 1, 0, 3, 2, 2, 3, 4, 4, 2, 2, 4, 4, 1, 2, 3, 0, 2, 4, 2, 4, 2, 1, 3, 4, 4, 2, 4, 4, 0, 0, 3, 0, 0, 0, 1, 1, 1, 4, 1, 4, 4, 4, 4, 1, 1, 0, 2, 4, 0, 4, 0, 3, 3, 3, 1, 3, 1, 1, 2, 3, 3, 1, 1, 4, 0, 4, 0, 4, 3, 2, 2, 4, 2, 1, 3, 1, 4, 3, 4, 4, 1, 2, 2, 4, 1, 4, 2, 2, 2, 4, 0, 4, 3, 1, 1, 4, 2, 3, 1, 0, 1, 4, 2, 0, 1, 2, 4, 0, 3, 0, 4, 3, 1, 4, 2, 4, 4, 3, 4, 0, 0, 4, 4, 4, 1, 4, 3, 3, 3, 3, 0, 2, 0, 1, 0, 4, 4, 2, 3, 4, 1, 1, 0, 3, 4, 1, 2, 0, 0, 2, 4, 3, 4, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 4, 3, 1, 1, 4, 4, 0, 0, 0, 1, 1, 3, 1, 4, 0, 4, 3, 4, 2, 2, 3, 4, 1, 1, 2, 3] pubkeycol1702 = [3, 4, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 4, 0, 2, 0, 3, 1, 4, 0, 2, 0, 3, 2, 4, 3, 0, 4, 0, 1, 2, 3, 3, 4, 2, 0, 4, 2, 3, 0, 2, 0, 2, 3, 0, 0, 3, 1, 2, 2, 0, 1, 4, 1, 4, 4, 1, 2, 1, 4, 1, 2, 1, 1, 4, 1, 1, 0, 3, 0, 2, 2, 4, 0, 4, 1, 1, 4, 0, 1, 4, 0, 2, 2, 0, 3, 2, 0, 0, 0, 2, 3, 4, 3, 2, 3, 0, 1, 4, 4, 0, 1, 2, 3, 3, 1, 1, 0, 1, 2, 0, 2, 0, 3, 2, 2, 0, 4, 4, 4, 2, 4, 0, 4, 3, 0, 3, 2, 4, 3, 4, 0, 2, 4, 2, 2, 2, 4, 2, 3, 2, 1, 4, 0, 3, 3, 0, 2, 2, 2, 0, 3, 2, 3, 3, 2, 4, 4, 2, 0, 4, 3, 2, 2, 3, 3, 4, 2, 2, 4, 4, 3, 3, 4, 2, 2, 4, 2, 1, 4, 4, 2, 3, 3, 0, 2, 3, 0, 1, 3, 0, 3, 2, 2, 0, 1, 2, 2, 3, 2, 0, 2, 3, 0, 4, 3, 3, 4, 4, 4, 1, 0, 0, 3, 3, 4, 4, 3, 0, 1, 1, 1, 2, 0, 3, 0, 1, 4, 3, 1, 3, 2, 0, 0, 2, 2, 3, 3, 0, 3, 3, 4, 4, 0, 4, 3, 0, 3, 2, 3, 3, 2, 4, 3, 3, 2, 3, 3, 1, 0, 1, 4, 4, 1, 3, 0, 4, 3, 4, 4, 2, 1, 1, 4, 1, 3, 3, 4, 2, 4, 4, 2, 3, 4, 1, 0, 4, 1, 2, 4, 2, 1, 4, 0, 1, 3, 3, 3, 0, 0, 0, 4, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 4, 3, 0, 0, 1, 4, 2, 0, 0, 4, 3, 0, 1, 2, 1, 3, 0, 0, 4, 4, 0, 2, 4, 4, 2, 2, 4, 3, 3, 3, 2, 3, 3, 4, 1, 3, 0, 0, 1, 0, 4, 4, 1, 0, 3, 0, 0, 1, 2, 1, 1, 3, 1, 1, 3, 2, 2, 4, 4, 2, 2, 2, 0, 0, 1, 1, 0, 4, 1, 0, 4, 1, 1, 0, 3, 4, 2, 0, 2, 2, 0, 3, 4, 0, 1] pubkeycol1703 = [1, 4, 1, 2, 1, 3, 1, 3, 2, 2, 3, 2, 4, 2, 3, 2, 1, 1, 4, 4, 4, 3, 0, 1, 2, 3, 0, 1, 4, 1, 4, 3, 0, 4, 1, 3, 0, 3, 3, 3, 4, 3, 4, 4, 1, 2, 1, 4, 4, 2, 4, 0, 4, 1, 3, 3, 1, 3, 2, 4, 1, 1, 1, 2, 3, 1, 0, 4, 1, 2, 4, 3, 0, 1, 2, 1, 0, 4, 3, 3, 3, 2, 4, 1, 1, 1, 2, 4, 0, 0, 2, 2, 2, 0, 3, 3, 2, 2, 1, 3, 1, 1, 3, 3, 0, 2, 0, 3, 1, 0, 1, 2, 1, 2, 2, 0, 0, 4, 1, 1, 3, 3, 4, 0, 0, 3, 1, 4, 1, 1, 4, 3, 4, 2, 4, 0, 4, 0, 1, 4, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 4, 0, 3, 3, 4, 2, 3, 3, 3, 1, 4, 4, 4, 1, 1, 2, 4, 1, 3, 1, 3, 0, 0, 4, 3, 4, 0, 1, 4, 2, 1, 2, 3, 2, 1, 4, 4, 0, 2, 3, 4, 0, 4, 4, 2, 4, 3, 3, 4, 3, 3, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 4, 2, 4, 0, 4, 4, 1, 2, 4, 0, 0, 4, 3, 0, 3, 4, 4, 0, 0, 1, 3, 3, 0, 2, 4, 4, 4, 2, 3, 2, 0, 0, 3, 3, 3, 4, 3, 0, 0, 0, 3, 1, 2, 1, 0, 0, 4, 4, 2, 2, 1, 4, 0, 1, 3, 2, 0, 4, 0, 2, 4, 3, 3, 0, 0, 0, 4, 0, 2, 2, 2, 2, 3, 3, 2, 1, 4, 0, 0, 2, 0, 4, 4, 3, 0, 4, 3, 4, 1, 0, 2, 3, 0, 3, 4, 3, 2, 2, 2, 4, 3, 1, 4, 1, 1, 4, 3, 2, 0, 4, 0, 3, 1, 3, 1, 4, 2, 1, 3, 4, 4, 4, 3, 2, 0, 2, 0, 4, 2, 1, 3, 1, 4, 0, 3, 3, 3, 4, 3, 3, 1, 0, 0, 4, 4, 3, 1, 1, 0, 3, 0, 4, 0, 4, 1, 1, 4, 1, 2, 4, 0, 1, 2, 0, 4, 0, 3, 1, 1, 4, 3, 4, 0, 0, 0, 4, 1, 0, 1, 1, 0, 3, 0, 0, 1, 0, 4] pubkeycol1704 = [1, 3, 1, 0, 2, 4, 3, 1, 0, 1, 4, 4, 1, 2, 3, 2, 0, 2, 4, 4, 4, 3, 4, 1, 3, 0, 1, 0, 2, 1, 0, 1, 3, 3, 3, 1, 0, 3, 4, 1, 1, 0, 0, 2, 3, 0, 3, 0, 1, 3, 1, 2, 2, 1, 1, 2, 3, 0, 2, 0, 0, 4, 2, 0, 2, 4, 4, 2, 1, 3, 1, 4, 3, 3, 4, 2, 1, 0, 0, 3, 2, 3, 2, 0, 4, 3, 1, 4, 0, 2, 4, 3, 0, 3, 1, 2, 0, 1, 1, 0, 1, 3, 1, 1, 1, 4, 4, 4, 0, 3, 3, 3, 1, 1, 2, 3, 1, 3, 2, 0, 0, 2, 2, 3, 3, 2, 4, 1, 3, 2, 1, 3, 3, 4, 4, 1, 1, 3, 3, 3, 4, 3, 3, 2, 4, 1, 1, 2, 1, 3, 4, 0, 3, 0, 0, 2, 4, 2, 4, 2, 1, 3, 4, 0, 1, 0, 3, 3, 2, 1, 1, 3, 1, 2, 4, 3, 3, 3, 3, 0, 4, 4, 2, 1, 0, 1, 1, 0, 2, 1, 2, 3, 0, 1, 4, 2, 3, 0, 1, 0, 0, 1, 4, 1, 1, 2, 1, 2, 0, 1, 3, 2, 0, 3, 4, 0, 3, 2, 3, 0, 2, 0, 0, 4, 1, 0, 4, 3, 3, 4, 3, 4, 2, 2, 4, 4, 1, 3, 2, 1, 2, 3, 3, 3, 3, 0, 4, 2, 3, 4, 0, 2, 2, 4, 2, 0, 2, 1, 3, 2, 0, 1, 1, 3, 2, 0, 0, 2, 3, 0, 2, 4, 3, 2, 4, 2, 0, 2, 2, 2, 4, 4, 0, 1, 0, 0, 3, 4, 0, 1, 0, 1, 4, 1, 1, 2, 4, 2, 4, 4, 1, 3, 0, 3, 0, 2, 1, 0, 4, 0, 1, 0, 0, 0, 0, 3, 2, 3, 4, 3, 4, 3, 0, 2, 4, 3, 1, 0, 4, 3, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 3, 3, 4, 2, 2, 0, 1, 0, 1, 1, 0, 0, 3, 2, 2, 2, 2, 3, 4, 1, 4, 0, 1, 1, 4, 3, 0, 1, 1, 0, 0, 2, 3, 2, 4, 0, 2, 2, 3, 1, 3, 3, 3, 1, 1, 4, 0, 2, 1, 3, 2, 3, 3, 0, 0, 0, 4, 4, 0, 4] pubkeycol1705 = [1, 2, 1, 4, 2, 4, 4, 2, 3, 3, 2, 4, 0, 0, 2, 3, 2, 2, 0, 1, 1, 2, 1, 2, 4, 4, 0, 4, 2, 0, 2, 1, 0, 1, 1, 3, 3, 2, 0, 1, 1, 0, 1, 2, 3, 2, 2, 3, 1, 3, 3, 0, 1, 1, 1, 2, 0, 4, 1, 1, 4, 1, 4, 4, 2, 1, 3, 3, 0, 2, 0, 1, 1, 2, 0, 0, 0, 4, 0, 1, 4, 2, 2, 4, 0, 3, 2, 0, 2, 0, 3, 3, 4, 3, 0, 0, 2, 4, 1, 2, 3, 4, 2, 4, 0, 2, 0, 1, 1, 2, 4, 3, 0, 4, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 4, 3, 0, 4, 4, 1, 4, 0, 0, 3, 4, 2, 4, 2, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 3, 1, 2, 1, 2, 1, 4, 2, 0, 0, 0, 3, 0, 3, 2, 1, 2, 4, 4, 4, 4, 1, 3, 0, 1, 2, 3, 3, 2, 3, 0, 3, 2, 0, 1, 1, 2, 1, 4, 2, 3, 3, 4, 2, 4, 0, 3, 2, 4, 2, 3, 4, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 0, 3, 2, 1, 2, 1, 3, 1, 3, 2, 0, 1, 4, 3, 0, 3, 2, 3, 4, 1, 2, 3, 0, 4, 2, 3, 1, 4, 0, 3, 2, 2, 4, 1, 1, 4, 3, 3, 3, 1, 3, 0, 1, 3, 3, 4, 2, 1, 4, 1, 4, 3, 3, 3, 4, 1, 2, 4, 3, 1, 2, 2, 2, 0, 3, 1, 1, 4, 3, 3, 2, 2, 2, 4, 2, 3, 4, 3, 4, 0, 2, 1, 2, 1, 1, 0, 3, 2, 4, 0, 1, 4, 2, 3, 1, 0, 2, 4, 2, 1, 2, 2, 2, 1, 2, 4, 2, 0, 4, 1, 1, 3, 4, 1, 3, 2, 0, 4, 2, 1, 3, 2, 1, 1, 4, 1, 2, 0, 1, 1, 3, 1, 3, 3, 0, 4, 1, 1, 0, 4, 0, 0, 0, 2, 3, 1, 2, 4, 3, 2, 0, 0, 0, 4, 3, 3, 0, 4, 2, 4, 0, 0, 3, 0, 0, 3, 3, 4, 1, 0, 2, 0, 3, 1, 4, 2, 3, 0, 3, 2, 2, 0, 3, 1, 2, 1, 0, 4, 1] pubkeycol1706 = [0, 3, 3, 0, 3, 4, 2, 3, 1, 4, 0, 1, 3, 1, 4, 1, 2, 3, 1, 3, 4, 0, 0, 4, 1, 0, 2, 1, 3, 3, 4, 4, 0, 1, 3, 4, 1, 2, 1, 0, 2, 2, 1, 2, 3, 1, 1, 0, 1, 3, 1, 0, 3, 4, 3, 1, 0, 2, 3, 4, 3, 1, 4, 0, 2, 0, 2, 4, 2, 3, 4, 1, 0, 2, 0, 2, 3, 0, 0, 4, 3, 1, 3, 3, 4, 2, 0, 1, 1, 0, 4, 2, 2, 3, 4, 0, 1, 1, 3, 0, 3, 1, 2, 1, 0, 1, 0, 1, 2, 4, 3, 0, 2, 1, 3, 0, 1, 3, 4, 3, 1, 2, 1, 4, 0, 4, 1, 1, 0, 4, 1, 0, 0, 3, 0, 0, 0, 0, 1, 4, 3, 2, 0, 0, 2, 3, 3, 3, 2, 4, 3, 3, 4, 1, 3, 0, 3, 0, 4, 1, 0, 3, 3, 1, 0, 2, 2, 1, 3, 3, 4, 1, 2, 0, 2, 1, 0, 3, 4, 0, 1, 1, 0, 4, 3, 3, 1, 0, 2, 2, 4, 3, 0, 4, 4, 1, 1, 3, 1, 4, 4, 3, 4, 2, 2, 0, 4, 3, 0, 3, 3, 4, 3, 4, 4, 4, 4, 1, 0, 0, 1, 1, 3, 4, 2, 4, 1, 0, 1, 0, 3, 3, 2, 4, 0, 4, 1, 4, 3, 1, 3, 3, 0, 2, 3, 0, 3, 1, 0, 4, 4, 2, 4, 2, 2, 3, 4, 3, 2, 4, 0, 4, 1, 1, 3, 2, 0, 3, 2, 4, 4, 2, 1, 1, 3, 3, 1, 2, 0, 3, 1, 1, 0, 3, 4, 1, 1, 0, 4, 4, 3, 1, 2, 3, 4, 3, 0, 1, 1, 1, 4, 4, 4, 1, 3, 4, 4, 2, 4, 2, 0, 0, 3, 4, 4, 2, 1, 4, 1, 0, 4, 4, 3, 1, 2, 1, 4, 4, 1, 1, 2, 3, 2, 4, 0, 1, 2, 4, 4, 3, 3, 3, 1, 2, 2, 0, 3, 0, 2, 2, 1, 0, 4, 1, 2, 4, 2, 3, 4, 1, 4, 4, 0, 4, 3, 4, 4, 0, 3, 3, 3, 1, 2, 4, 0, 2, 1, 2, 0, 4, 0, 4, 2, 0, 4, 4, 4, 3, 4, 1, 4, 3, 0, 2, 1, 0, 2, 3, 3, 0] pubkeycol1707 = [1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 3, 4, 4, 3, 4, 2, 2, 2, 4, 4, 0, 3, 3, 1, 1, 0, 0, 4, 3, 2, 3, 3, 3, 1, 0, 3, 0, 3, 3, 0, 3, 0, 0, 2, 2, 4, 1, 3, 3, 2, 3, 1, 4, 2, 3, 1, 1, 3, 2, 1, 1, 1, 1, 1, 0, 4, 0, 4, 2, 1, 2, 2, 2, 4, 3, 2, 1, 3, 3, 4, 1, 3, 2, 4, 4, 3, 3, 1, 1, 1, 2, 3, 3, 3, 0, 4, 1, 2, 4, 0, 1, 4, 4, 4, 4, 1, 1, 2, 0, 1, 4, 0, 4, 0, 2, 0, 3, 1, 1, 1, 2, 2, 4, 3, 4, 0, 3, 3, 1, 0, 0, 4, 0, 0, 2, 3, 2, 3, 4, 3, 3, 1, 2, 1, 2, 2, 1, 1, 0, 4, 1, 4, 2, 4, 4, 2, 2, 2, 1, 2, 4, 0, 2, 3, 1, 3, 4, 2, 4, 3, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 3, 4, 3, 1, 2, 1, 2, 1, 2, 0, 4, 3, 2, 4, 3, 2, 1, 0, 4, 1, 4, 0, 3, 0, 4, 4, 0, 4, 2, 3, 4, 1, 3, 0, 4, 4, 2, 2, 4, 0, 0, 0, 0, 3, 4, 2, 3, 0, 1, 2, 1, 0, 4, 4, 1, 3, 3, 2, 1, 3, 0, 2, 4, 3, 2, 3, 1, 4, 4, 2, 1, 3, 0, 0, 2, 3, 3, 2, 0, 4, 2, 2, 4, 2, 2, 0, 0, 1, 3, 3, 3, 1, 0, 4, 4, 2, 0, 1, 2, 0, 4, 2, 1, 3, 4, 4, 0, 4, 2, 0, 1, 2, 3, 0, 1, 2, 0, 1, 3, 1, 3, 3, 0, 1, 0, 1, 4, 2, 2, 3, 1, 2, 2, 0, 2, 0, 3, 4, 3, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 4, 0, 4, 1, 4, 0, 2, 4, 4, 1, 2, 3, 4, 2, 2, 3, 1, 2, 2, 1, 1, 2, 3, 4, 1, 2, 2, 1, 4, 0, 3, 4, 3, 4, 1, 0, 4, 0, 2, 3, 0, 2, 1, 0, 4, 2, 2, 1, 2, 0, 0, 2, 2, 4, 4, 2, 0, 0, 0, 3, 4, 3, 0] pubkeycol1708 = [1, 0, 2, 1, 0, 2, 2, 3, 3, 3, 1, 3, 3, 2, 2, 0, 4, 2, 2, 3, 4, 1, 0, 0, 1, 1, 0, 0, 2, 1, 4, 0, 1, 0, 4, 0, 4, 1, 0, 2, 2, 2, 0, 2, 4, 3, 1, 1, 2, 3, 3, 4, 3, 1, 1, 0, 1, 4, 4, 4, 2, 4, 4, 0, 3, 0, 0, 0, 4, 2, 0, 2, 1, 2, 4, 3, 2, 4, 1, 1, 4, 2, 1, 2, 2, 1, 3, 3, 3, 0, 2, 3, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 3, 1, 4, 1, 1, 1, 2, 2, 0, 3, 0, 0, 4, 4, 4, 1, 3, 4, 2, 0, 4, 3, 4, 3, 2, 0, 0, 3, 3, 4, 0, 2, 4, 3, 1, 3, 3, 4, 0, 0, 0, 0, 0, 4, 2, 1, 0, 3, 1, 0, 1, 2, 4, 1, 3, 3, 1, 1, 3, 2, 4, 1, 2, 2, 4, 2, 1, 4, 3, 2, 1, 1, 3, 0, 3, 0, 1, 0, 2, 0, 4, 0, 3, 1, 0, 0, 1, 4, 2, 3, 2, 0, 4, 0, 3, 2, 2, 1, 0, 1, 3, 4, 4, 4, 3, 4, 2, 2, 4, 0, 0, 3, 3, 3, 3, 1, 1, 0, 1, 3, 3, 4, 4, 4, 0, 0, 4, 3, 4, 0, 2, 3, 3, 4, 0, 3, 0, 3, 0, 0, 3, 0, 0, 2, 0, 4, 2, 0, 2, 2, 2, 0, 3, 0, 0, 1, 4, 4, 2, 2, 3, 2, 0, 2, 1, 2, 0, 2, 0, 3, 3, 3, 3, 0, 0, 4, 1, 0, 3, 2, 4, 3, 1, 1, 3, 4, 2, 4, 3, 3, 1, 0, 2, 0, 1, 0, 4, 0, 2, 0, 1, 4, 3, 3, 3, 0, 3, 0, 3, 4, 4, 0, 4, 0, 1, 3, 3, 3, 4, 1, 3, 1, 3, 1, 0, 1, 2, 0, 4, 2, 4, 0, 0, 2, 0, 3, 1, 4, 1, 2, 4, 3, 1, 0, 4, 1, 0, 0, 2, 4, 1, 0, 1, 4, 4, 3, 4, 4, 1, 4, 1, 0, 3, 3, 2, 2, 3, 1, 3, 3, 0, 2, 4, 4, 4, 4, 4, 2, 4, 2, 1, 4, 1, 4, 4, 0, 2, 3, 4, 0, 3, 2, 1, 3, 0] pubkeycol1709 = [3, 2, 2, 3, 2, 1, 3, 2, 3, 0, 2, 3, 0, 3, 4, 3, 4, 3, 0, 3, 0, 0, 2, 0, 1, 3, 1, 4, 2, 3, 3, 1, 0, 1, 4, 0, 4, 3, 1, 1, 2, 0, 0, 1, 1, 3, 1, 1, 3, 3, 2, 1, 3, 1, 3, 1, 4, 2, 4, 2, 3, 3, 3, 0, 3, 4, 3, 4, 1, 4, 1, 2, 0, 2, 3, 2, 0, 3, 4, 3, 3, 2, 0, 2, 1, 1, 3, 2, 1, 1, 4, 0, 0, 0, 2, 4, 3, 1, 4, 3, 0, 3, 2, 3, 4, 0, 4, 3, 2, 2, 0, 0, 2, 1, 4, 1, 0, 0, 2, 4, 2, 4, 3, 2, 3, 4, 0, 4, 4, 1, 1, 1, 1, 4, 0, 1, 2, 0, 0, 3, 2, 2, 4, 4, 2, 4, 3, 0, 1, 3, 1, 3, 2, 3, 3, 1, 3, 2, 0, 0, 4, 2, 1, 4, 0, 1, 0, 0, 0, 4, 0, 4, 3, 2, 4, 3, 2, 0, 1, 0, 4, 1, 4, 3, 0, 1, 2, 4, 3, 2, 3, 2, 3, 4, 3, 1, 2, 2, 3, 1, 0, 4, 2, 2, 0, 2, 4, 4, 0, 3, 4, 2, 2, 0, 4, 0, 3, 1, 0, 3, 4, 4, 2, 1, 4, 0, 2, 4, 3, 3, 1, 2, 4, 1, 3, 4, 0, 1, 1, 2, 3, 0, 0, 4, 0, 2, 3, 2, 4, 3, 4, 0, 0, 0, 4, 0, 4, 1, 0, 3, 3, 2, 3, 0, 0, 0, 2, 0, 2, 4, 0, 0, 1, 2, 4, 2, 3, 2, 1, 1, 0, 4, 4, 2, 2, 0, 3, 3, 2, 0, 3, 1, 3, 0, 2, 1, 2, 2, 1, 4, 3, 2, 3, 3, 1, 2, 2, 3, 3, 0, 4, 1, 4, 4, 2, 2, 4, 4, 2, 4, 2, 4, 2, 2, 3, 1, 2, 2, 3, 3, 4, 2, 2, 3, 1, 1, 0, 4, 4, 0, 0, 0, 1, 3, 3, 3, 2, 0, 0, 0, 3, 3, 2, 3, 2, 0, 2, 4, 2, 1, 0, 2, 3, 0, 0, 2, 1, 0, 2, 0, 4, 4, 4, 2, 3, 1, 2, 1, 0, 4, 1, 3, 1, 4, 0, 0, 3, 3, 4, 0, 0, 4, 0, 3, 4, 0, 3, 4, 4, 3] pubkeycol1710 = [4, 2, 2, 1, 0, 3, 1, 4, 0, 3, 1, 0, 4, 0, 1, 2, 2, 0, 3, 3, 3, 2, 0, 4, 2, 3, 4, 2, 4, 3, 0, 0, 1, 4, 2, 3, 4, 1, 4, 1, 3, 3, 0, 3, 3, 1, 0, 0, 3, 4, 4, 0, 1, 3, 2, 4, 2, 3, 0, 4, 4, 3, 0, 0, 2, 0, 4, 0, 1, 0, 2, 0, 3, 1, 1, 3, 3, 3, 2, 0, 4, 3, 3, 4, 4, 0, 3, 3, 1, 4, 4, 3, 1, 2, 3, 2, 1, 2, 2, 2, 4, 4, 4, 2, 0, 0, 4, 2, 1, 2, 3, 2, 0, 1, 1, 4, 2, 2, 2, 1, 4, 4, 0, 3, 2, 1, 1, 1, 4, 1, 1, 4, 3, 3, 3, 0, 0, 0, 0, 3, 3, 1, 0, 2, 0, 0, 3, 2, 3, 4, 3, 3, 2, 0, 1, 3, 1, 3, 0, 4, 0, 4, 1, 1, 0, 2, 1, 4, 3, 4, 3, 3, 2, 4, 4, 3, 4, 4, 1, 3, 0, 0, 0, 0, 4, 2, 1, 2, 1, 2, 2, 3, 1, 1, 2, 4, 0, 1, 2, 1, 3, 2, 3, 4, 4, 2, 1, 4, 2, 2, 3, 4, 1, 0, 1, 4, 3, 0, 4, 2, 1, 0, 4, 4, 3, 3, 1, 3, 2, 0, 4, 1, 0, 1, 1, 2, 3, 0, 0, 3, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 4, 0, 0, 0, 2, 2, 4, 1, 2, 4, 3, 4, 0, 0, 4, 1, 1, 3, 1, 3, 2, 2, 1, 4, 0, 3, 2, 3, 2, 2, 3, 1, 0, 4, 4, 1, 3, 2, 2, 3, 0, 0, 4, 1, 0, 2, 4, 4, 1, 2, 0, 1, 3, 1, 1, 4, 2, 0, 3, 0, 3, 2, 4, 4, 4, 3, 3, 3, 0, 1, 3, 1, 1, 0, 0, 3, 4, 1, 0, 3, 0, 2, 0, 0, 0, 1, 4, 4, 3, 4, 4, 1, 2, 4, 4, 3, 0, 3, 2, 1, 3, 1, 2, 0, 1, 4, 3, 0, 4, 1, 0, 4, 4, 4, 1, 2, 4, 1, 1, 1, 2, 0, 1, 3, 3, 1, 3, 4, 4, 2, 0, 4, 2, 2, 0, 1, 1, 2, 0, 3, 1, 2, 0, 1, 4, 3] pubkeycol1711 = [1, 0, 2, 2, 4, 4, 0, 3, 2, 1, 3, 0, 0, 0, 0, 1, 3, 0, 4, 3, 3, 4, 2, 4, 4, 4, 1, 2, 4, 1, 2, 0, 0, 4, 2, 3, 1, 3, 4, 4, 2, 2, 2, 3, 3, 4, 2, 0, 0, 1, 0, 0, 1, 2, 3, 1, 0, 0, 0, 0, 0, 0, 1, 4, 0, 4, 1, 3, 2, 4, 2, 2, 0, 3, 3, 2, 4, 3, 1, 2, 0, 0, 0, 4, 2, 1, 1, 2, 0, 0, 1, 2, 1, 3, 1, 2, 3, 2, 2, 4, 1, 2, 0, 4, 2, 2, 2, 0, 4, 4, 0, 1, 0, 0, 0, 2, 4, 3, 4, 4, 1, 3, 0, 4, 1, 0, 0, 3, 0, 1, 2, 0, 4, 2, 2, 0, 1, 3, 4, 2, 0, 4, 0, 4, 1, 4, 2, 3, 3, 4, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 3, 1, 0, 2, 0, 2, 2, 2, 0, 4, 4, 1, 1, 0, 4, 4, 2, 1, 3, 2, 3, 0, 3, 0, 2, 0, 3, 0, 0, 0, 4, 3, 2, 4, 2, 4, 1, 4, 1, 3, 4, 2, 1, 2, 2, 4, 1, 1, 1, 2, 1, 4, 2, 0, 4, 2, 0, 3, 3, 2, 2, 3, 3, 3, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 4, 0, 3, 2, 3, 1, 4, 2, 2, 3, 3, 4, 4, 2, 3, 1, 2, 4, 0, 1, 0, 3, 4, 2, 1, 0, 3, 0, 1, 4, 4, 2, 4, 4, 2, 2, 1, 3, 4, 3, 1, 3, 4, 3, 1, 4, 0, 2, 4, 1, 3, 1, 1, 4, 2, 0, 3, 4, 2, 2, 2, 1, 0, 1, 4, 4, 2, 1, 3, 0, 1, 0, 2, 1, 4, 2, 0, 0, 1, 2, 4, 0, 4, 4, 3, 0, 0, 4, 3, 4, 1, 0, 3, 2, 1, 4, 1, 4, 4, 0, 0, 0, 3, 1, 3, 0, 2, 3, 4, 4, 1, 2, 2, 0, 3, 3, 4, 1, 2, 2, 2, 2, 4, 0, 0, 2, 0, 0, 0, 0, 4, 4, 1, 3, 1, 0, 1, 4, 3, 0, 0, 3, 3, 1, 3, 2, 1, 4, 4, 1, 3, 3, 3, 0] pubkeycol1712 = [0, 3, 2, 2, 0, 1, 3, 4, 1, 1, 2, 0, 3, 4, 4, 4, 2, 0, 0, 1, 1, 3, 2, 4, 0, 4, 4, 4, 2, 1, 4, 1, 0, 4, 1, 4, 1, 3, 4, 0, 2, 3, 4, 1, 1, 4, 2, 3, 4, 2, 4, 4, 1, 1, 3, 4, 2, 4, 0, 2, 4, 0, 3, 4, 3, 0, 4, 0, 2, 2, 4, 1, 4, 1, 3, 3, 2, 2, 0, 4, 0, 4, 3, 4, 1, 1, 1, 1, 1, 2, 4, 1, 3, 0, 1, 4, 0, 2, 0, 3, 2, 2, 1, 0, 1, 1, 4, 4, 3, 0, 2, 1, 1, 4, 0, 2, 3, 1, 2, 2, 1, 1, 4, 4, 4, 1, 3, 4, 4, 3, 1, 0, 1, 4, 0, 0, 0, 1, 1, 1, 2, 3, 2, 2, 3, 2, 1, 0, 3, 4, 4, 2, 2, 4, 0, 1, 3, 4, 3, 2, 0, 0, 3, 0, 4, 4, 0, 1, 1, 0, 3, 0, 0, 4, 2, 0, 2, 3, 1, 3, 1, 4, 1, 0, 0, 2, 4, 1, 1, 2, 2, 2, 3, 2, 2, 1, 2, 3, 4, 1, 1, 2, 3, 2, 0, 0, 1, 3, 3, 1, 3, 1, 4, 0, 2, 4, 0, 3, 1, 1, 4, 4, 0, 3, 1, 4, 4, 0, 0, 1, 3, 1, 2, 0, 3, 3, 1, 2, 1, 0, 3, 4, 1, 0, 3, 4, 2, 2, 4, 0, 4, 0, 1, 4, 0, 0, 2, 0, 3, 4, 1, 0, 0, 4, 2, 0, 2, 1, 4, 3, 1, 4, 4, 1, 2, 1, 1, 4, 2, 2, 1, 3, 4, 3, 2, 1, 3, 0, 2, 3, 1, 3, 0, 2, 3, 4, 1, 1, 4, 2, 3, 0, 1, 4, 3, 3, 4, 3, 2, 1, 2, 1, 3, 1, 0, 3, 0, 4, 4, 1, 3, 1, 2, 2, 0, 2, 4, 0, 0, 1, 2, 1, 2, 4, 3, 0, 2, 0, 2, 4, 4, 0, 3, 4, 4, 3, 1, 4, 1, 2, 4, 2, 2, 1, 1, 2, 2, 3, 2, 0, 0, 3, 2, 2, 2, 0, 1, 4, 0, 2, 0, 2, 3, 3, 1, 0, 1, 0, 0, 3, 1, 0, 0, 1, 0, 1, 2, 4, 1, 4, 0, 4, 0, 2, 3, 4, 1, 2, 2, 3] pubkeycol1713 = [1, 1, 3, 2, 4, 2, 1, 2, 4, 0, 2, 2, 1, 1, 1, 1, 3, 4, 0, 1, 4, 3, 2, 2, 4, 4, 2, 1, 3, 4, 4, 3, 0, 1, 4, 1, 0, 0, 4, 3, 1, 1, 4, 4, 0, 3, 2, 4, 4, 4, 2, 4, 3, 2, 1, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 0, 2, 4, 1, 3, 2, 3, 2, 0, 4, 0, 0, 3, 1, 3, 3, 1, 3, 4, 1, 2, 0, 0, 2, 2, 1, 3, 0, 1, 0, 2, 2, 0, 4, 0, 2, 0, 3, 2, 2, 1, 3, 2, 4, 4, 4, 3, 0, 4, 1, 2, 4, 1, 0, 3, 3, 0, 1, 0, 1, 2, 4, 3, 0, 4, 4, 0, 1, 2, 1, 1, 0, 3, 0, 2, 0, 2, 1, 2, 0, 3, 0, 4, 3, 0, 4, 0, 4, 3, 4, 0, 4, 3, 0, 3, 2, 0, 0, 3, 2, 2, 2, 2, 4, 0, 4, 2, 4, 0, 0, 4, 3, 3, 2, 3, 3, 0, 3, 1, 1, 3, 2, 4, 3, 3, 3, 3, 4, 3, 3, 1, 4, 4, 1, 3, 3, 3, 4, 2, 4, 4, 4, 0, 4, 0, 2, 0, 2, 1, 3, 4, 1, 3, 4, 1, 1, 1, 4, 0, 0, 0, 4, 2, 4, 3, 3, 4, 1, 1, 4, 4, 2, 1, 1, 3, 3, 2, 2, 4, 3, 4, 1, 1, 1, 2, 0, 1, 1, 1, 2, 4, 4, 3, 0, 2, 3, 3, 2, 3, 4, 2, 0, 1, 1, 3, 2, 3, 1, 4, 0, 1, 0, 3, 1, 0, 1, 4, 1, 4, 0, 3, 0, 2, 4, 0, 2, 3, 3, 3, 4, 4, 0, 3, 3, 1, 1, 0, 1, 2, 0, 3, 1, 4, 4, 4, 2, 3, 2, 3, 0, 0, 1, 2, 1, 2, 4, 2, 3, 2, 0, 1, 4, 0, 1, 2, 3, 4, 0, 0, 4, 2, 0, 4, 2, 0, 2, 2, 0, 0, 0, 3, 2, 2, 1, 0, 0, 1, 1, 2, 3, 0, 3, 0, 4, 3, 2, 3, 4, 2, 2, 2, 1, 0, 4, 1, 4, 2, 1, 0, 2, 0, 0, 2, 2, 2, 4, 3, 1, 0, 2, 4, 1, 1, 0, 3, 3, 4, 4, 3, 2, 2, 4, 4] pubkeycol1714 = [1, 4, 4, 2, 2, 4, 3, 2, 2, 3, 4, 4, 1, 4, 0, 4, 4, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 4, 0, 0, 4, 2, 3, 4, 3, 3, 4, 0, 0, 3, 3, 2, 3, 2, 3, 4, 2, 4, 3, 2, 3, 1, 3, 0, 0, 4, 3, 0, 3, 0, 4, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 3, 4, 3, 1, 0, 0, 4, 3, 2, 0, 0, 1, 3, 2, 0, 0, 0, 1, 0, 4, 0, 1, 1, 0, 4, 0, 3, 3, 2, 1, 1, 1, 1, 4, 3, 1, 0, 2, 4, 2, 4, 1, 3, 2, 2, 2, 3, 3, 4, 4, 3, 4, 2, 4, 4, 1, 3, 1, 2, 4, 4, 2, 4, 2, 0, 2, 2, 4, 1, 2, 1, 3, 2, 2, 2, 2, 2, 4, 3, 0, 1, 0, 4, 0, 0, 3, 2, 0, 3, 2, 3, 3, 2, 3, 2, 0, 2, 2, 1, 1, 4, 0, 0, 4, 4, 1, 0, 0, 2, 3, 4, 0, 4, 0, 3, 0, 2, 0, 1, 2, 0, 4, 3, 0, 3, 1, 4, 4, 1, 0, 1, 3, 0, 0, 3, 4, 2, 2, 2, 1, 4, 2, 0, 4, 1, 3, 1, 4, 4, 2, 4, 3, 0, 0, 2, 2, 3, 3, 1, 4, 2, 0, 0, 2, 1, 3, 3, 2, 2, 0, 2, 4, 0, 1, 1, 0, 4, 4, 3, 3, 0, 0, 0, 2, 4, 2, 2, 3, 0, 4, 0, 2, 0, 4, 4, 4, 3, 4, 2, 0, 4, 3, 2, 0, 2, 1, 1, 3, 3, 3, 4, 0, 0, 2, 4, 1, 2, 2, 2, 3, 2, 3, 1, 2, 1, 1, 3, 4, 3, 4, 0, 0, 1, 3, 4, 0, 1, 0, 3, 3, 1, 1, 2, 2, 3, 4, 0, 0, 4, 0, 3, 3, 4, 4, 3, 1, 0, 3, 4, 4, 3, 0, 3, 2, 1, 3, 0, 4, 2, 1, 3, 3, 1, 2, 1, 0, 4, 1, 4, 3, 2, 0, 2, 4, 0, 1, 4, 1, 4, 2, 1, 3, 4, 4, 0, 1, 3, 4, 3, 4, 3, 4, 0, 4, 1, 2, 4, 4, 4, 3, 4, 2, 4, 0, 0, 1, 1, 0, 4, 2, 3, 3, 2, 2, 3, 2, 4] pubkeycol1715 = [0, 0, 4, 2, 4, 3, 0, 4, 2, 2, 3, 3, 2, 2, 1, 4, 4, 4, 1, 2, 1, 4, 0, 0, 1, 4, 3, 3, 2, 1, 4, 2, 0, 2, 4, 0, 0, 2, 0, 2, 1, 3, 0, 4, 2, 1, 4, 2, 3, 2, 1, 3, 0, 4, 1, 4, 0, 1, 1, 0, 2, 1, 1, 4, 4, 1, 3, 0, 3, 1, 1, 4, 2, 1, 2, 0, 2, 4, 0, 2, 0, 1, 0, 3, 3, 2, 1, 2, 4, 4, 4, 1, 1, 4, 0, 2, 3, 3, 3, 3, 3, 2, 4, 0, 3, 1, 4, 4, 4, 0, 2, 3, 3, 1, 2, 0, 3, 4, 0, 2, 3, 4, 2, 1, 1, 2, 2, 4, 4, 3, 4, 1, 2, 1, 1, 3, 2, 2, 0, 1, 2, 3, 3, 4, 4, 4, 3, 4, 2, 3, 0, 1, 4, 0, 4, 2, 3, 2, 1, 1, 4, 2, 4, 0, 0, 0, 0, 3, 2, 3, 0, 3, 0, 3, 0, 4, 3, 4, 3, 1, 2, 3, 3, 2, 2, 4, 0, 2, 0, 0, 2, 1, 4, 3, 0, 4, 0, 3, 4, 2, 2, 1, 4, 1, 4, 0, 3, 2, 4, 1, 2, 1, 0, 3, 0, 1, 4, 4, 0, 3, 1, 1, 1, 2, 4, 1, 3, 0, 4, 2, 4, 3, 2, 3, 4, 0, 4, 4, 4, 2, 1, 3, 1, 3, 0, 4, 0, 2, 4, 3, 3, 0, 0, 0, 3, 0, 4, 3, 4, 2, 1, 2, 3, 1, 0, 1, 1, 3, 2, 0, 3, 2, 1, 4, 2, 3, 3, 0, 0, 2, 4, 4, 0, 4, 0, 3, 3, 2, 3, 0, 4, 4, 1, 2, 4, 2, 4, 0, 3, 0, 1, 3, 4, 3, 0, 0, 2, 3, 2, 2, 1, 3, 4, 4, 0, 3, 0, 4, 1, 0, 3, 2, 2, 0, 1, 4, 1, 3, 3, 4, 0, 0, 1, 1, 1, 4, 2, 2, 4, 4, 2, 3, 4, 2, 0, 0, 3, 3, 3, 2, 3, 1, 2, 0, 1, 0, 4, 1, 0, 0, 3, 2, 2, 2, 3, 2, 3, 4, 3, 3, 1, 1, 1, 0, 3, 3, 2, 2, 4, 2, 4, 3, 4, 3, 4, 0, 0, 4, 3, 1, 0, 4, 0, 4, 3, 1, 0, 0, 2, 1] pubkeycol1716 = [1, 4, 3, 2, 3, 2, 3, 4, 3, 0, 3, 2, 2, 0, 0, 0, 3, 2, 4, 1, 1, 1, 3, 2, 1, 3, 3, 3, 0, 2, 1, 3, 4, 0, 4, 3, 3, 0, 4, 3, 1, 1, 0, 0, 2, 3, 1, 4, 3, 2, 4, 3, 2, 1, 4, 0, 1, 0, 2, 2, 2, 4, 1, 4, 4, 4, 0, 3, 2, 1, 4, 2, 4, 0, 1, 0, 0, 4, 4, 3, 1, 2, 3, 1, 4, 1, 2, 0, 4, 0, 2, 2, 0, 1, 1, 1, 2, 3, 0, 3, 0, 0, 1, 1, 2, 2, 3, 0, 3, 4, 1, 1, 3, 0, 1, 3, 3, 3, 2, 2, 4, 2, 2, 3, 3, 4, 3, 0, 2, 2, 3, 0, 0, 0, 2, 4, 0, 4, 2, 4, 2, 0, 0, 1, 1, 2, 0, 3, 0, 1, 2, 1, 0, 1, 0, 0, 4, 3, 4, 4, 1, 4, 4, 3, 4, 3, 2, 3, 1, 4, 2, 2, 2, 3, 0, 3, 3, 0, 0, 0, 1, 0, 3, 2, 3, 3, 3, 3, 4, 0, 2, 0, 1, 2, 1, 4, 2, 2, 3, 1, 1, 0, 1, 0, 1, 1, 3, 2, 2, 0, 0, 2, 1, 2, 0, 2, 3, 3, 1, 2, 4, 2, 1, 4, 0, 2, 1, 4, 0, 1, 3, 3, 4, 2, 0, 0, 1, 1, 2, 0, 3, 3, 2, 3, 1, 2, 2, 4, 4, 4, 2, 4, 3, 2, 3, 2, 4, 1, 1, 4, 1, 0, 0, 3, 2, 2, 4, 1, 3, 4, 3, 2, 4, 2, 3, 0, 1, 4, 3, 2, 0, 2, 1, 2, 0, 1, 0, 4, 4, 4, 4, 1, 0, 0, 1, 4, 0, 3, 4, 4, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 3, 3, 1, 2, 2, 4, 1, 0, 3, 3, 2, 4, 0, 2, 4, 4, 2, 1, 3, 4, 2, 1, 2, 1, 0, 2, 1, 4, 0, 4, 0, 2, 3, 0, 1, 1, 0, 3, 1, 3, 2, 2, 3, 0, 1, 1, 3, 0, 4, 3, 1, 1, 4, 2, 3, 2, 2, 1, 1, 1, 4, 4, 4, 3, 4, 2, 4, 0, 3, 3, 0, 3, 1, 4, 4, 0, 1, 1, 0, 4, 1, 0, 0, 0, 2, 0, 4, 4, 1] pubkeycol1717 = [0, 4, 4, 0, 1, 4, 0, 2, 2, 2, 2, 0, 1, 4, 3, 4, 4, 2, 2, 4, 2, 3, 1, 2, 1, 0, 3, 0, 4, 2, 2, 1, 2, 4, 1, 4, 3, 0, 0, 2, 1, 3, 4, 2, 3, 0, 4, 3, 0, 1, 3, 0, 0, 1, 4, 1, 3, 1, 0, 0, 4, 1, 4, 0, 3, 4, 3, 1, 1, 2, 4, 1, 1, 4, 4, 3, 4, 0, 3, 0, 0, 4, 2, 4, 3, 0, 2, 0, 3, 4, 1, 0, 3, 3, 4, 4, 0, 0, 0, 2, 1, 4, 0, 2, 4, 3, 0, 4, 1, 4, 1, 0, 0, 4, 1, 2, 1, 2, 1, 4, 4, 1, 4, 4, 1, 4, 3, 3, 2, 1, 2, 2, 2, 0, 2, 1, 4, 0, 0, 3, 1, 1, 3, 2, 0, 1, 1, 3, 3, 3, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 3, 4, 4, 1, 2, 1, 2, 0, 4, 0, 0, 2, 0, 4, 1, 4, 1, 2, 4, 2, 1, 0, 0, 4, 1, 2, 2, 0, 4, 3, 1, 2, 0, 3, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 3, 3, 1, 0, 1, 0, 2, 4, 1, 4, 2, 1, 0, 2, 1, 4, 4, 2, 0, 2, 2, 1, 0, 3, 3, 2, 4, 1, 2, 4, 3, 3, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 4, 4, 4, 0, 2, 1, 2, 1, 0, 3, 4, 0, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 4, 3, 3, 0, 1, 4, 1, 4, 2, 0, 4, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 3, 2, 2, 1, 4, 4, 2, 3, 2, 4, 2, 1, 3, 1, 4, 2, 2, 4, 1, 2, 1, 4, 0, 2, 3, 3, 2, 2, 3, 3, 0, 2, 0, 0, 2, 2, 3, 0, 1, 1, 0, 4, 3, 3, 4, 0, 0, 0, 2, 2, 4, 0, 3, 2, 3, 0, 1, 0, 2, 3, 3, 0, 0, 4, 1, 0, 2, 1, 0, 2, 3, 3, 4, 0, 2, 4, 2, 3, 4, 2, 3, 1, 3, 1, 4, 2, 3, 4, 2, 1, 4, 1, 4, 3, 3] pubkeycol1718 = [0, 1, 4, 2, 0, 0, 2, 0, 1, 3, 3, 3, 4, 0, 3, 3, 4, 2, 1, 3, 1, 3, 2, 4, 2, 1, 3, 2, 4, 0, 1, 1, 2, 2, 0, 1, 2, 3, 4, 2, 4, 1, 1, 3, 4, 3, 1, 3, 3, 0, 3, 0, 3, 3, 3, 2, 1, 0, 0, 4, 3, 3, 1, 2, 0, 1, 1, 0, 4, 4, 3, 1, 3, 1, 3, 1, 2, 0, 2, 3, 2, 2, 0, 0, 4, 3, 0, 1, 1, 3, 0, 3, 1, 4, 0, 1, 1, 3, 1, 4, 2, 2, 1, 1, 1, 1, 3, 0, 0, 3, 4, 1, 1, 3, 2, 0, 4, 4, 1, 4, 2, 0, 1, 4, 4, 0, 0, 1, 2, 0, 4, 3, 3, 4, 0, 2, 3, 3, 1, 0, 1, 0, 0, 1, 2, 3, 2, 1, 1, 3, 0, 0, 1, 3, 3, 1, 4, 2, 3, 4, 0, 2, 2, 2, 4, 2, 2, 3, 3, 2, 2, 4, 2, 3, 0, 1, 4, 4, 1, 4, 4, 1, 0, 4, 2, 4, 2, 3, 0, 1, 4, 4, 3, 0, 1, 1, 3, 4, 4, 4, 2, 3, 4, 3, 0, 3, 1, 2, 1, 2, 0, 4, 4, 3, 1, 1, 2, 0, 3, 2, 0, 3, 0, 1, 0, 1, 1, 3, 4, 1, 3, 0, 3, 1, 1, 2, 2, 1, 4, 0, 3, 1, 3, 3, 0, 3, 1, 0, 1, 4, 1, 2, 0, 2, 2, 0, 1, 0, 4, 3, 1, 1, 4, 0, 2, 0, 4, 3, 1, 2, 1, 1, 4, 2, 1, 3, 3, 2, 0, 1, 4, 4, 2, 1, 1, 4, 3, 1, 4, 2, 3, 2, 1, 3, 1, 3, 0, 1, 3, 1, 1, 0, 3, 2, 4, 0, 4, 1, 0, 1, 2, 1, 4, 1, 4, 1, 0, 0, 4, 1, 0, 4, 3, 3, 2, 0, 2, 0, 4, 1, 1, 4, 2, 4, 4, 3, 3, 4, 2, 4, 0, 2, 2, 0, 4, 4, 2, 4, 1, 4, 3, 1, 1, 0, 0, 3, 4, 2, 3, 1, 0, 2, 2, 1, 1, 0, 2, 3, 4, 2, 2, 2, 2, 0, 0, 2, 0, 1, 3, 3, 4, 1, 1, 4, 4, 4, 2, 3, 0, 3, 3, 2, 4, 4, 3, 4, 2, 4, 0, 1] pubkeycol1719 = [0, 1, 0, 2, 2, 1, 1, 0, 4, 1, 0, 3, 1, 0, 4, 3, 0, 3, 3, 3, 2, 3, 1, 4, 1, 0, 0, 1, 1, 2, 1, 3, 1, 3, 0, 4, 0, 3, 2, 1, 2, 4, 4, 0, 1, 4, 1, 2, 4, 0, 4, 1, 1, 2, 2, 1, 3, 0, 1, 2, 0, 3, 4, 1, 4, 4, 4, 4, 0, 3, 3, 3, 2, 3, 0, 3, 1, 1, 3, 4, 3, 2, 4, 0, 1, 3, 4, 0, 1, 4, 3, 0, 3, 0, 4, 4, 2, 4, 4, 0, 4, 1, 2, 3, 2, 3, 0, 3, 2, 4, 3, 4, 4, 0, 2, 2, 1, 2, 4, 4, 0, 0, 4, 1, 4, 4, 3, 1, 2, 0, 2, 4, 2, 3, 0, 3, 4, 1, 3, 1, 4, 1, 3, 3, 4, 1, 1, 4, 4, 3, 3, 2, 4, 2, 2, 1, 1, 0, 4, 4, 1, 0, 2, 1, 4, 4, 2, 2, 0, 4, 4, 1, 0, 0, 2, 0, 4, 3, 4, 4, 3, 1, 3, 0, 2, 1, 3, 2, 1, 2, 1, 3, 2, 0, 3, 0, 0, 2, 2, 1, 3, 4, 3, 4, 3, 2, 1, 1, 4, 2, 0, 0, 2, 2, 4, 3, 4, 2, 2, 4, 4, 0, 1, 2, 4, 3, 1, 0, 2, 4, 1, 2, 0, 1, 3, 1, 0, 4, 4, 2, 3, 0, 3, 0, 2, 1, 2, 3, 2, 1, 3, 1, 3, 1, 2, 3, 4, 1, 4, 4, 3, 3, 0, 1, 3, 1, 4, 0, 3, 4, 4, 4, 0, 4, 3, 4, 4, 1, 3, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 3, 0, 4, 0, 1, 3, 4, 1, 4, 2, 1, 0, 4, 1, 4, 1, 2, 1, 3, 1, 1, 3, 0, 4, 4, 2, 3, 0, 4, 3, 3, 2, 3, 0, 2, 1, 4, 2, 2, 2, 1, 4, 3, 3, 3, 2, 0, 0, 3, 2, 4, 1, 2, 3, 3, 0, 4, 1, 2, 2, 3, 2, 4, 1, 3, 3, 1, 0, 3, 4, 1, 3, 3, 2, 1, 2, 1, 0, 4, 3, 1, 3, 2, 1, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 0, 0, 2, 3, 0, 0, 3, 0, 1, 2, 4, 0, 0, 2, 4, 4] pubkeycol1720 = [1, 4, 3, 0, 2, 2, 0, 2, 2, 3, 1, 2, 1, 2, 2, 4, 3, 1, 1, 0, 4, 4, 3, 2, 0, 1, 2, 0, 4, 1, 1, 4, 4, 0, 0, 2, 0, 3, 0, 3, 4, 1, 2, 2, 4, 4, 3, 1, 3, 2, 2, 0, 2, 1, 3, 3, 3, 0, 0, 1, 4, 0, 0, 0, 1, 3, 4, 2, 3, 3, 1, 3, 1, 4, 4, 1, 4, 3, 3, 4, 3, 2, 1, 1, 2, 4, 3, 2, 3, 4, 3, 1, 1, 3, 2, 1, 3, 2, 3, 3, 4, 3, 0, 2, 2, 0, 4, 2, 0, 0, 1, 4, 1, 4, 3, 2, 4, 4, 3, 3, 2, 2, 2, 4, 2, 4, 2, 3, 3, 4, 3, 1, 4, 2, 0, 0, 3, 4, 1, 4, 1, 2, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 4, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 4, 0, 4, 1, 3, 1, 0, 4, 4, 1, 0, 1, 0, 0, 1, 3, 0, 4, 1, 1, 1, 0, 0, 2, 2, 1, 4, 3, 3, 0, 2, 4, 0, 0, 4, 1, 3, 3, 3, 0, 1, 0, 4, 2, 0, 0, 3, 3, 0, 4, 0, 0, 3, 4, 3, 4, 2, 4, 0, 4, 0, 3, 2, 4, 2, 0, 3, 3, 2, 3, 4, 0, 3, 3, 0, 3, 3, 2, 4, 3, 4, 4, 2, 0, 1, 0, 1, 0, 2, 4, 3, 4, 3, 3, 1, 4, 1, 4, 0, 3, 1, 0, 3, 2, 4, 2, 3, 4, 4, 4, 3, 3, 0, 4, 3, 0, 3, 2, 1, 3, 1, 1, 0, 1, 4, 0, 3, 2, 0, 1, 0, 0, 4, 2, 3, 2, 3, 4, 1, 2, 2, 3, 2, 1, 4, 2, 0, 1, 0, 2, 4, 4, 2, 4, 1, 4, 3, 4, 1, 3, 2, 0, 1, 3, 0, 3, 3, 1, 3, 2, 0, 4, 1, 4, 4, 3, 2, 2, 3, 2, 2, 1, 4, 2, 4, 1, 1, 2, 1, 4, 0, 0, 3, 0, 0, 2, 0, 4, 1, 0, 3, 2, 0, 0, 1, 3, 3, 4, 3, 3, 3, 3, 3, 0, 3, 4, 0, 0, 3, 2, 4, 0, 2, 4, 1, 4, 4, 3, 2, 2, 3, 3, 0, 4, 0] pubkeycol1721 = [3, 1, 2, 2, 4, 4, 3, 0, 3, 2, 1, 3, 0, 2, 4, 2, 0, 1, 2, 3, 3, 1, 1, 0, 2, 1, 3, 1, 0, 4, 2, 4, 3, 4, 3, 1, 3, 2, 0, 4, 1, 2, 3, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 4, 2, 2, 2, 4, 1, 0, 0, 0, 4, 0, 1, 0, 1, 4, 0, 3, 4, 4, 3, 2, 2, 3, 1, 4, 3, 2, 2, 4, 0, 0, 0, 4, 2, 4, 3, 3, 2, 4, 2, 0, 0, 1, 1, 1, 1, 3, 2, 4, 0, 2, 4, 4, 1, 2, 3, 3, 1, 4, 2, 4, 1, 2, 3, 3, 3, 4, 0, 4, 3, 2, 4, 4, 4, 4, 3, 2, 2, 4, 0, 2, 2, 4, 0, 1, 0, 0, 3, 2, 2, 2, 0, 1, 3, 1, 3, 4, 1, 4, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 3, 0, 3, 0, 0, 3, 3, 1, 0, 2, 0, 4, 1, 1, 0, 4, 3, 3, 2, 4, 0, 3, 0, 1, 2, 3, 1, 3, 4, 2, 0, 0, 1, 0, 2, 4, 3, 4, 1, 3, 3, 1, 4, 4, 2, 2, 4, 0, 4, 0, 4, 2, 2, 3, 4, 0, 3, 0, 4, 4, 4, 2, 0, 2, 0, 4, 4, 4, 1, 1, 0, 0, 3, 3, 2, 3, 0, 4, 2, 2, 1, 1, 3, 3, 3, 4, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 4, 0, 1, 1, 0, 0, 3, 0, 4, 4, 4, 2, 0, 0, 2, 1, 2, 4, 1, 3, 0, 4, 3, 1, 2, 2, 2, 2, 4, 3, 1, 1, 0, 2, 0, 0, 4, 0, 4, 3, 2, 2, 4, 2, 3, 4, 2, 2, 4, 2, 3, 2, 3, 2, 0, 4, 4, 3, 4, 4, 3, 0, 3, 0, 2, 4, 2, 2, 4, 0, 2, 4, 4, 0, 4, 1, 1, 2, 1, 3, 4, 0, 1, 4, 1, 3, 2, 4, 2, 1, 1, 3, 2, 1, 2, 2, 4, 1, 0, 2, 1, 1, 3, 0, 1, 2, 3, 2, 1, 3, 0, 2, 1, 0, 2, 2, 4, 3, 1, 2, 1, 4, 4, 2, 0, 2, 0, 0, 0, 0, 4, 0, 1, 2, 3, 4, 3] pubkeycol1722 = [2, 2, 4, 2, 4, 0, 4, 1, 4, 0, 0, 3, 2, 4, 1, 3, 1, 4, 0, 2, 4, 0, 4, 0, 1, 2, 4, 4, 4, 2, 2, 1, 1, 2, 0, 4, 3, 1, 0, 1, 1, 0, 1, 0, 2, 1, 3, 3, 2, 4, 0, 0, 4, 2, 4, 1, 2, 3, 4, 0, 4, 2, 4, 1, 0, 0, 4, 0, 2, 1, 3, 4, 3, 0, 2, 0, 2, 4, 0, 3, 4, 4, 1, 2, 4, 3, 1, 2, 2, 1, 2, 0, 1, 0, 3, 4, 4, 2, 3, 4, 0, 2, 2, 4, 2, 0, 2, 1, 2, 1, 4, 4, 0, 3, 1, 3, 4, 4, 1, 4, 1, 1, 2, 0, 2, 1, 4, 2, 0, 0, 0, 0, 0, 2, 1, 1, 3, 0, 0, 3, 3, 1, 1, 3, 1, 1, 4, 2, 3, 2, 0, 2, 4, 3, 3, 3, 1, 0, 1, 0, 0, 3, 4, 3, 2, 3, 3, 0, 3, 3, 2, 1, 3, 3, 1, 0, 4, 2, 2, 3, 1, 0, 2, 0, 0, 3, 1, 3, 3, 0, 0, 4, 4, 0, 4, 0, 3, 3, 2, 4, 0, 0, 3, 4, 3, 1, 0, 2, 0, 4, 4, 0, 2, 3, 4, 1, 4, 0, 2, 2, 1, 3, 4, 0, 1, 3, 3, 2, 2, 1, 0, 3, 1, 2, 4, 0, 3, 1, 2, 2, 4, 4, 1, 2, 0, 3, 2, 3, 3, 3, 4, 1, 3, 3, 0, 1, 4, 3, 2, 3, 4, 4, 4, 0, 4, 4, 1, 4, 2, 1, 4, 0, 2, 0, 0, 3, 0, 1, 4, 1, 0, 1, 1, 1, 2, 3, 3, 3, 2, 0, 1, 2, 0, 4, 0, 0, 4, 4, 3, 0, 1, 3, 2, 2, 4, 0, 2, 1, 0, 0, 0, 1, 3, 1, 4, 2, 1, 3, 3, 4, 0, 3, 2, 2, 4, 2, 2, 2, 3, 3, 2, 1, 3, 2, 4, 3, 1, 1, 0, 0, 4, 1, 4, 1, 4, 2, 4, 1, 4, 4, 3, 0, 0, 3, 0, 1, 2, 1, 1, 4, 1, 3, 2, 1, 0, 4, 4, 0, 3, 2, 3, 3, 0, 3, 0, 1, 4, 0, 0, 4, 1, 2, 2, 0, 4, 3, 4, 0, 0, 4, 3, 0, 3, 1, 3, 2, 2, 1, 1, 1] pubkeycol1723 = [0, 4, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 3, 3, 0, 3, 2, 4, 0, 1, 3, 4, 3, 4, 0, 2, 4, 1, 2, 2, 0, 3, 4, 2, 2, 3, 2, 2, 4, 4, 2, 3, 2, 4, 2, 0, 0, 1, 3, 3, 2, 4, 0, 4, 0, 3, 1, 3, 1, 4, 1, 2, 0, 0, 4, 4, 0, 4, 1, 4, 4, 0, 4, 0, 4, 3, 1, 3, 4, 0, 0, 1, 4, 3, 2, 1, 3, 0, 3, 2, 0, 2, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 0, 1, 4, 0, 2, 0, 4, 2, 1, 0, 4, 0, 3, 0, 3, 3, 4, 3, 1, 0, 2, 0, 0, 0, 2, 0, 3, 0, 4, 2, 3, 3, 2, 0, 4, 3, 1, 0, 2, 0, 1, 0, 1, 1, 1, 4, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 3, 0, 3, 0, 1, 1, 4, 2, 1, 4, 2, 0, 2, 2, 2, 3, 1, 2, 1, 4, 2, 0, 3, 2, 2, 4, 2, 0, 4, 2, 4, 0, 0, 0, 3, 2, 2, 3, 2, 4, 4, 0, 2, 3, 3, 0, 0, 2, 4, 4, 3, 0, 4, 4, 3, 4, 2, 0, 1, 3, 3, 0, 0, 0, 1, 0, 3, 2, 4, 4, 0, 0, 0, 2, 3, 4, 1, 4, 0, 1, 3, 3, 2, 3, 4, 1, 1, 1, 3, 2, 1, 2, 0, 3, 0, 0, 4, 4, 1, 1, 3, 0, 1, 3, 0, 4, 3, 2, 2, 0, 0, 1, 2, 2, 1, 3, 3, 2, 4, 1, 2, 1, 3, 0, 1, 4, 2, 0, 3, 3, 4, 1, 2, 4, 0, 2, 3, 0, 1, 2, 4, 2, 4, 3, 4, 1, 0, 2, 0, 1, 1, 4, 3, 1, 0, 2, 1, 2, 3, 0, 0, 0, 0, 4, 2, 0, 2, 1, 2, 4, 4, 4, 4, 2, 2, 2, 2, 3, 4, 0, 3, 3, 2, 4, 4, 4, 1, 1, 3, 1, 3, 0, 1, 3, 0, 1, 2, 4, 4, 2, 1, 0, 4, 3, 3, 4, 0, 0, 1, 1, 2, 1, 4, 1, 4, 4, 1, 2, 1, 1, 1, 4, 3, 2, 2, 4, 4, 1, 0, 4, 1, 1, 2, 2, 0, 3, 4, 4, 1, 4, 2] pubkeycol1724 = [1, 3, 0, 4, 0, 1, 1, 1, 1, 4, 0, 1, 0, 3, 1, 1, 4, 1, 1, 4, 3, 2, 4, 4, 4, 0, 1, 4, 0, 3, 1, 1, 2, 1, 1, 2, 1, 2, 3, 3, 4, 1, 0, 0, 2, 0, 3, 3, 2, 0, 2, 0, 1, 2, 3, 3, 1, 0, 3, 1, 4, 2, 1, 4, 2, 0, 0, 3, 2, 1, 2, 4, 4, 3, 1, 4, 1, 0, 4, 0, 2, 2, 0, 1, 2, 1, 1, 0, 4, 2, 4, 1, 3, 3, 0, 0, 3, 4, 0, 1, 3, 4, 0, 0, 3, 0, 4, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 3, 0, 2, 2, 2, 4, 4, 0, 2, 1, 0, 3, 3, 0, 1, 0, 0, 2, 0, 2, 2, 0, 3, 0, 3, 3, 1, 3, 0, 1, 4, 3, 0, 2, 4, 0, 4, 2, 3, 0, 4, 1, 2, 3, 2, 4, 1, 0, 2, 2, 4, 2, 2, 0, 2, 2, 3, 3, 4, 0, 4, 4, 0, 4, 0, 0, 2, 0, 4, 3, 3, 4, 4, 2, 4, 4, 2, 1, 0, 4, 4, 4, 2, 1, 3, 0, 0, 3, 1, 4, 1, 1, 3, 3, 1, 3, 0, 2, 3, 2, 2, 2, 1, 4, 2, 4, 2, 3, 0, 3, 2, 0, 0, 1, 4, 1, 2, 0, 3, 2, 4, 2, 2, 2, 3, 2, 0, 3, 2, 4, 2, 1, 0, 4, 2, 0, 3, 0, 3, 0, 3, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 3, 1, 3, 2, 3, 3, 4, 2, 2, 4, 1, 4, 4, 1, 2, 0, 4, 2, 0, 2, 3, 3, 3, 2, 0, 4, 3, 0, 3, 3, 0, 2, 3, 0, 1, 4, 3, 3, 0, 0, 3, 4, 2, 4, 4, 3, 3, 4, 4, 1, 2, 2, 0, 4, 3, 1, 0, 2, 0, 3, 4, 0, 4, 2, 3, 2, 0, 2, 3, 0, 0, 0, 0, 2, 4, 2, 0, 1, 2, 0, 3, 1, 3, 3, 4, 2, 0, 1, 4, 0, 1, 3, 0, 4, 2, 2, 4, 3, 2, 1, 1, 0, 2, 2, 3, 4, 3, 3, 4, 0, 1, 1, 2, 3, 2, 1, 0, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 3, 1, 3, 4] pubkeycol1725 = [2, 3, 2, 3, 4, 4, 3, 4, 4, 2, 0, 0, 0, 2, 3, 0, 3, 3, 1, 1, 2, 2, 3, 1, 4, 2, 2, 1, 1, 3, 3, 3, 2, 3, 4, 2, 1, 4, 3, 4, 0, 1, 3, 0, 2, 4, 4, 0, 2, 0, 3, 2, 3, 2, 1, 1, 0, 3, 3, 1, 0, 4, 3, 3, 0, 0, 4, 1, 4, 2, 2, 3, 4, 2, 2, 2, 0, 3, 2, 0, 1, 3, 1, 3, 4, 2, 2, 0, 4, 2, 0, 3, 3, 1, 2, 4, 2, 1, 4, 0, 3, 0, 0, 4, 1, 3, 2, 0, 3, 4, 0, 1, 3, 1, 1, 0, 4, 2, 3, 3, 1, 3, 3, 4, 4, 1, 2, 2, 3, 3, 0, 3, 0, 4, 0, 0, 0, 0, 1, 1, 3, 1, 2, 3, 3, 1, 1, 4, 1, 4, 1, 1, 0, 2, 3, 2, 2, 2, 1, 0, 0, 0, 2, 4, 3, 0, 4, 3, 4, 1, 1, 0, 0, 4, 1, 0, 4, 3, 3, 0, 3, 0, 4, 2, 1, 3, 2, 4, 2, 1, 2, 4, 1, 0, 3, 3, 4, 2, 0, 3, 2, 0, 1, 1, 1, 3, 3, 3, 2, 3, 3, 0, 0, 4, 3, 4, 4, 3, 1, 2, 4, 3, 3, 3, 2, 3, 2, 2, 3, 3, 0, 2, 1, 1, 3, 0, 2, 3, 4, 4, 0, 0, 2, 2, 3, 2, 2, 4, 2, 2, 4, 0, 2, 2, 0, 4, 1, 1, 0, 3, 3, 2, 0, 3, 4, 3, 3, 4, 0, 0, 3, 1, 3, 0, 0, 0, 3, 1, 1, 1, 1, 2, 2, 4, 4, 0, 3, 3, 1, 3, 3, 4, 4, 4, 1, 3, 1, 2, 3, 0, 0, 1, 1, 4, 0, 0, 0, 3, 2, 0, 1, 4, 4, 3, 4, 3, 4, 3, 4, 1, 0, 2, 3, 0, 2, 4, 1, 3, 2, 0, 2, 4, 1, 4, 2, 0, 0, 0, 0, 0, 2, 1, 0, 3, 4, 3, 2, 0, 1, 1, 3, 1, 2, 3, 1, 2, 2, 4, 4, 1, 4, 1, 2, 3, 1, 0, 0, 2, 3, 2, 3, 2, 1, 2, 0, 4, 4, 2, 0, 3, 1, 3, 2, 4, 3, 1, 0, 0, 2, 0, 4, 3, 3, 0, 0, 1, 2, 0, 0, 4] pubkeycol1726 = [4, 0, 3, 0, 0, 3, 1, 3, 1, 2, 4, 0, 2, 4, 1, 1, 4, 1, 3, 4, 1, 0, 3, 4, 0, 0, 0, 3, 3, 3, 3, 4, 0, 1, 1, 3, 0, 2, 1, 2, 1, 1, 0, 1, 3, 4, 3, 4, 1, 2, 4, 0, 0, 4, 1, 3, 1, 1, 3, 4, 4, 3, 3, 1, 1, 3, 4, 4, 4, 2, 2, 3, 3, 1, 3, 3, 0, 3, 4, 2, 4, 3, 4, 1, 2, 4, 2, 4, 3, 2, 3, 0, 3, 1, 0, 3, 0, 4, 4, 0, 3, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 3, 1, 2, 1, 0, 2, 4, 4, 4, 0, 4, 2, 2, 1, 4, 2, 3, 3, 0, 0, 0, 4, 1, 4, 0, 1, 3, 1, 4, 0, 1, 1, 2, 4, 3, 2, 0, 2, 0, 4, 3, 2, 1, 2, 0, 0, 4, 2, 2, 2, 2, 2, 3, 0, 0, 0, 4, 3, 2, 4, 4, 2, 4, 3, 0, 0, 2, 0, 4, 4, 0, 1, 2, 4, 0, 0, 1, 0, 2, 1, 3, 3, 3, 4, 3, 0, 0, 1, 1, 4, 2, 3, 2, 1, 2, 3, 3, 2, 3, 2, 3, 3, 1, 1, 4, 0, 0, 0, 4, 2, 2, 2, 0, 2, 2, 4, 1, 4, 2, 0, 4, 2, 4, 4, 2, 4, 0, 0, 1, 3, 4, 0, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 4, 1, 3, 1, 4, 4, 4, 1, 3, 1, 3, 0, 2, 0, 1, 1, 2, 2, 4, 2, 4, 3, 3, 1, 2, 2, 1, 2, 2, 0, 0, 3, 4, 4, 1, 3, 1, 4, 2, 4, 1, 4, 0, 3, 1, 1, 0, 1, 3, 1, 1, 4, 0, 1, 3, 0, 2, 0, 1, 2, 1, 4, 2, 0, 0, 4, 1, 3, 3, 3, 0, 2, 2, 1, 0, 4, 2, 0, 1, 1, 4, 3, 0, 1, 4, 4, 1, 3, 4, 4, 1, 3, 0, 3, 3, 2, 4, 3, 0, 0, 4, 3, 0, 0, 1, 3, 3, 2, 2, 0, 0, 0, 0, 0, 4, 1, 0, 1, 0, 1, 4, 2, 1, 3, 0, 1, 2, 4, 4, 2, 0, 2, 1, 1, 0, 4, 4, 3, 3, 1, 1, 4, 1, 0] pubkeycol1727 = [2, 2, 0, 0, 4, 0, 0, 3, 4, 0, 1, 2, 3, 3, 3, 0, 3, 1, 4, 0, 3, 3, 2, 0, 1, 2, 2, 0, 3, 0, 2, 4, 3, 4, 0, 1, 0, 2, 2, 4, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 0, 3, 3, 1, 2, 1, 4, 2, 2, 1, 4, 0, 3, 1, 4, 1, 3, 2, 4, 3, 3, 1, 0, 2, 0, 3, 2, 1, 1, 0, 1, 1, 0, 2, 1, 3, 2, 3, 3, 4, 0, 0, 3, 1, 2, 3, 0, 3, 4, 0, 1, 0, 4, 2, 3, 2, 4, 3, 2, 4, 1, 2, 1, 4, 2, 1, 1, 2, 4, 0, 2, 0, 4, 4, 2, 2, 1, 0, 3, 1, 4, 1, 0, 1, 1, 2, 3, 3, 2, 3, 0, 0, 2, 3, 1, 0, 1, 4, 2, 3, 2, 2, 4, 2, 1, 0, 2, 0, 4, 4, 2, 0, 2, 3, 1, 2, 4, 0, 2, 2, 1, 4, 1, 2, 1, 4, 0, 1, 0, 0, 4, 0, 1, 0, 1, 1, 0, 4, 1, 3, 2, 3, 0, 1, 2, 4, 2, 2, 3, 3, 4, 4, 3, 3, 1, 0, 0, 1, 1, 3, 3, 1, 0, 0, 0, 3, 1, 1, 1, 2, 1, 1, 3, 4, 2, 3, 3, 3, 0, 3, 0, 2, 2, 1, 3, 4, 0, 0, 1, 4, 0, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 0, 4, 2, 3, 0, 0, 3, 3, 4, 2, 1, 2, 4, 4, 4, 1, 1, 0, 0, 2, 4, 4, 4, 4, 2, 3, 0, 1, 3, 3, 0, 1, 1, 3, 0, 4, 1, 4, 3, 1, 0, 2, 4, 4, 0, 3, 1, 4, 4, 0, 3, 2, 4, 2, 2, 1, 4, 4, 2, 0, 0, 3, 1, 0, 4, 1, 2, 4, 2, 4, 0, 2, 2, 3, 4, 3, 0, 4, 1, 3, 2, 0, 2, 4, 1, 3, 3, 0, 4, 2, 4, 4, 0, 2, 2, 2, 3, 3, 4, 4, 0, 0, 2, 0, 2, 4, 2, 4, 0, 3, 2, 4, 2, 4, 4, 1, 3, 3, 4, 1, 3, 4, 2, 0, 1, 2, 0, 4, 3, 1, 4, 2, 2, 2, 3, 3, 0, 0, 1, 3, 2, 4, 2, 0, 0, 0, 2, 0, 4] pubkeycol1728 = [3, 4, 2, 2, 1, 2, 3, 0, 0, 1, 2, 2, 1, 4, 0, 0, 1, 1, 2, 2, 1, 1, 4, 0, 1, 0, 0, 1, 0, 1, 3, 0, 1, 2, 3, 3, 2, 3, 2, 2, 0, 2, 1, 2, 1, 3, 1, 0, 4, 1, 4, 2, 1, 4, 1, 3, 3, 3, 0, 4, 3, 4, 4, 2, 0, 2, 3, 0, 0, 4, 0, 1, 4, 2, 1, 2, 4, 1, 0, 0, 2, 0, 0, 0, 1, 2, 3, 3, 2, 4, 1, 0, 0, 1, 1, 1, 1, 4, 2, 0, 1, 2, 4, 2, 3, 0, 1, 3, 4, 1, 3, 2, 4, 0, 0, 3, 4, 3, 3, 0, 2, 1, 1, 1, 1, 2, 4, 3, 1, 1, 2, 2, 2, 2, 4, 0, 3, 2, 3, 3, 0, 0, 1, 0, 1, 0, 4, 0, 0, 2, 3, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 4, 2, 3, 3, 4, 1, 2, 0, 0, 0, 4, 4, 3, 3, 4, 4, 3, 0, 2, 1, 0, 0, 2, 4, 1, 3, 0, 3, 0, 0, 1, 4, 1, 1, 3, 0, 3, 4, 1, 1, 4, 2, 0, 1, 0, 3, 3, 4, 1, 0, 2, 1, 1, 3, 3, 4, 3, 4, 4, 3, 1, 4, 1, 1, 1, 1, 0, 1, 3, 2, 1, 3, 3, 2, 0, 0, 4, 0, 3, 4, 2, 2, 0, 2, 3, 2, 2, 0, 4, 4, 2, 0, 0, 4, 3, 2, 2, 1, 4, 3, 3, 1, 2, 1, 4, 2, 3, 2, 3, 4, 0, 3, 0, 2, 3, 2, 2, 3, 0, 2, 4, 0, 3, 3, 2, 2, 2, 2, 0, 4, 1, 1, 2, 0, 3, 3, 4, 1, 3, 4, 2, 4, 3, 0, 1, 4, 1, 1, 4, 1, 4, 4, 0, 1, 1, 1, 0, 2, 2, 4, 4, 3, 2, 0, 4, 3, 4, 2, 4, 2, 0, 1, 4, 3, 0, 0, 4, 3, 3, 3, 3, 3, 4, 0, 0, 4, 0, 3, 0, 4, 4, 2, 0, 0, 4, 4, 0, 4, 4, 2, 2, 2, 4, 3, 3, 3, 4, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 4, 1, 1, 4, 2, 0, 1, 1, 1, 2, 0, 3, 2, 4, 2, 1, 0] pubkeycol1729 = [1, 3, 3, 0, 1, 3, 4, 1, 3, 1, 1, 4, 4, 2, 3, 2, 3, 4, 1, 0, 0, 4, 2, 1, 2, 0, 0, 4, 3, 4, 4, 3, 2, 3, 3, 2, 0, 1, 3, 1, 0, 2, 3, 0, 0, 1, 3, 0, 0, 4, 4, 3, 3, 3, 2, 1, 0, 3, 1, 3, 3, 2, 3, 2, 0, 0, 0, 4, 3, 3, 2, 0, 3, 3, 1, 4, 0, 4, 2, 0, 3, 0, 4, 3, 3, 4, 1, 3, 1, 1, 4, 1, 0, 3, 0, 3, 1, 3, 2, 4, 3, 2, 1, 3, 3, 0, 1, 4, 0, 2, 4, 0, 3, 4, 4, 0, 1, 1, 3, 4, 3, 2, 3, 3, 4, 4, 2, 2, 2, 0, 1, 0, 2, 3, 0, 0, 4, 1, 0, 2, 2, 2, 0, 3, 0, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 0, 3, 0, 3, 4, 4, 3, 3, 3, 4, 2, 4, 4, 4, 0, 0, 4, 4, 1, 0, 1, 0, 1, 2, 0, 3, 2, 1, 4, 4, 1, 3, 3, 3, 4, 0, 1, 3, 2, 0, 4, 1, 2, 0, 1, 4, 4, 2, 3, 3, 2, 3, 2, 2, 1, 0, 3, 4, 1, 4, 2, 4, 3, 3, 3, 0, 2, 3, 4, 0, 0, 4, 1, 0, 1, 2, 3, 3, 1, 1, 3, 4, 2, 2, 2, 4, 1, 2, 2, 2, 0, 0, 4, 4, 3, 2, 4, 1, 4, 3, 2, 1, 4, 4, 1, 2, 4, 4, 3, 3, 4, 2, 2, 2, 4, 3, 2, 1, 0, 3, 3, 0, 0, 4, 3, 1, 2, 4, 1, 1, 1, 0, 2, 2, 4, 3, 3, 0, 3, 3, 0, 0, 2, 2, 0, 0, 3, 2, 1, 2, 3, 4, 3, 4, 0, 0, 0, 0, 1, 3, 4, 1, 0, 2, 2, 2, 1, 1, 3, 3, 1, 4, 3, 2, 1, 0, 4, 1, 1, 1, 1, 3, 4, 3, 3, 4, 2, 0, 3, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 4, 3, 4, 3, 2, 0, 4, 1, 4, 0, 1, 0, 0, 2, 4, 2, 2, 3, 4, 1, 4, 2, 2, 4, 0, 3, 4, 3, 0, 3, 4, 4, 0, 0, 4, 1, 1, 4, 4, 4, 3, 3, 0, 1] pubkeycol1730 = [1, 2, 3, 4, 2, 4, 0, 4, 3, 1, 1, 0, 4, 4, 4, 4, 4, 3, 1, 1, 0, 1, 3, 2, 1, 1, 1, 4, 3, 1, 0, 3, 2, 1, 3, 2, 1, 0, 3, 3, 0, 2, 1, 3, 1, 0, 0, 4, 2, 4, 2, 0, 2, 4, 4, 0, 1, 1, 0, 1, 4, 2, 3, 2, 2, 3, 3, 2, 1, 0, 4, 3, 1, 4, 2, 3, 0, 0, 4, 3, 3, 3, 3, 4, 4, 2, 4, 0, 4, 1, 3, 1, 2, 3, 3, 0, 2, 0, 1, 4, 2, 4, 3, 0, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, 3, 3, 4, 3, 4, 2, 3, 0, 0, 2, 0, 1, 3, 0, 4, 3, 1, 4, 0, 3, 3, 2, 1, 0, 3, 1, 3, 0, 3, 4, 4, 2, 4, 1, 4, 2, 2, 0, 1, 4, 4, 0, 4, 1, 0, 4, 4, 3, 2, 3, 3, 1, 2, 3, 1, 1, 3, 1, 2, 2, 3, 1, 0, 3, 4, 0, 1, 3, 3, 2, 0, 0, 2, 4, 1, 4, 1, 0, 2, 2, 4, 1, 0, 3, 1, 0, 2, 3, 4, 4, 0, 1, 4, 4, 0, 4, 2, 1, 2, 2, 0, 0, 0, 2, 3, 0, 4, 1, 1, 0, 2, 1, 0, 1, 1, 3, 4, 2, 4, 2, 4, 1, 0, 1, 0, 1, 1, 3, 3, 3, 4, 3, 3, 2, 4, 2, 1, 4, 0, 2, 2, 4, 3, 3, 2, 1, 4, 0, 3, 2, 1, 1, 4, 4, 1, 3, 2, 1, 2, 2, 4, 3, 0, 0, 0, 1, 0, 2, 4, 3, 2, 0, 1, 0, 2, 4, 2, 3, 4, 2, 3, 0, 3, 1, 3, 2, 1, 3, 4, 2, 1, 4, 1, 2, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 1, 0, 0, 1, 2, 3, 1, 3, 4, 0, 1, 4, 0, 4, 3, 4, 0, 3, 0, 3, 1, 1, 2, 0, 3, 3, 4, 3, 0, 2, 4, 1, 3, 4, 4, 0, 2, 3, 3, 2, 0, 4, 3, 1, 1, 0, 1, 1, 2, 0, 4, 4, 4, 4, 1, 4, 3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 1, 3, 1, 4, 1, 0, 2, 0, 4, 4, 4, 2, 1, 0, 2, 1] pubkeycol1731 = [0, 0, 3, 4, 2, 4, 1, 4, 0, 2, 0, 2, 4, 0, 3, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 4, 0, 4, 0, 0, 3, 2, 3, 1, 0, 2, 2, 1, 2, 4, 2, 3, 0, 3, 2, 1, 4, 0, 0, 3, 2, 3, 2, 1, 0, 0, 4, 1, 4, 1, 4, 3, 0, 3, 4, 2, 4, 2, 4, 3, 3, 1, 3, 2, 2, 1, 1, 0, 4, 2, 4, 3, 0, 1, 0, 4, 1, 4, 4, 3, 1, 4, 3, 3, 4, 3, 3, 2, 4, 3, 4, 4, 3, 3, 3, 1, 3, 2, 1, 2, 0, 4, 1, 1, 1, 3, 2, 2, 3, 2, 2, 2, 0, 2, 3, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 2, 2, 0, 4, 2, 2, 0, 2, 1, 4, 3, 4, 0, 1, 0, 4, 1, 3, 4, 0, 2, 3, 2, 3, 2, 2, 4, 4, 4, 4, 4, 2, 1, 0, 0, 0, 4, 3, 2, 0, 4, 3, 1, 0, 0, 3, 3, 1, 1, 1, 4, 3, 4, 2, 1, 4, 3, 1, 4, 3, 1, 3, 1, 0, 0, 3, 1, 2, 0, 1, 2, 0, 3, 3, 0, 0, 4, 3, 4, 1, 4, 2, 2, 3, 4, 0, 0, 1, 4, 0, 3, 4, 4, 0, 2, 0, 4, 0, 3, 4, 1, 4, 0, 1, 0, 3, 1, 2, 0, 4, 4, 3, 3, 4, 2, 4, 1, 1, 4, 0, 0, 2, 2, 2, 0, 1, 1, 3, 2, 2, 1, 3, 4, 3, 0, 4, 2, 1, 1, 1, 3, 2, 2, 2, 3, 2, 3, 0, 0, 1, 2, 0, 1, 3, 0, 2, 3, 4, 4, 0, 0, 0, 4, 3, 2, 1, 3, 3, 1, 1, 2, 2, 3, 0, 4, 1, 4, 4, 3, 1, 3, 2, 3, 3, 1, 4, 1, 1, 3, 2, 1, 2, 2, 2, 1, 3, 2, 2, 0, 2, 1, 3, 2, 1, 4, 0, 4, 1, 0, 4, 1, 0, 3, 4, 1, 0, 0, 4, 2, 2, 2, 0, 3, 0, 4, 3, 4, 1, 1, 1, 0, 4, 3, 3, 4, 0, 4, 4, 0, 0, 3, 2, 4, 4, 3, 2, 3, 2, 3, 4, 2, 0, 0, 3, 4, 3, 0, 0, 2, 2] pubkeycol1732 = [3, 3, 2, 3, 2, 2, 4, 4, 1, 3, 0, 0, 4, 3, 1, 0, 0, 1, 3, 1, 0, 0, 4, 1, 1, 1, 3, 0, 4, 3, 4, 4, 4, 3, 4, 3, 4, 3, 4, 1, 2, 3, 3, 3, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 1, 3, 0, 2, 2, 0, 2, 1, 0, 2, 0, 3, 3, 0, 2, 3, 2, 4, 4, 1, 2, 3, 4, 2, 1, 4, 0, 3, 2, 4, 4, 0, 1, 3, 1, 4, 3, 1, 4, 2, 4, 1, 1, 2, 1, 0, 3, 3, 3, 0, 2, 0, 0, 1, 2, 2, 4, 4, 4, 1, 1, 1, 4, 4, 4, 4, 4, 0, 1, 1, 0, 4, 0, 2, 3, 4, 1, 3, 0, 2, 3, 0, 3, 1, 1, 0, 4, 0, 1, 2, 4, 4, 0, 0, 3, 3, 1, 3, 0, 1, 1, 2, 1, 1, 4, 4, 2, 0, 3, 1, 0, 2, 1, 0, 2, 4, 3, 0, 1, 2, 0, 1, 1, 0, 4, 4, 1, 3, 4, 4, 2, 1, 4, 3, 1, 1, 1, 2, 0, 0, 0, 4, 4, 2, 1, 0, 0, 2, 3, 4, 4, 1, 1, 1, 2, 2, 0, 1, 3, 2, 2, 1, 4, 0, 4, 3, 4, 2, 1, 0, 4, 2, 3, 1, 2, 4, 2, 0, 3, 3, 0, 1, 2, 1, 3, 1, 2, 3, 3, 2, 4, 4, 0, 1, 1, 3, 0, 0, 2, 3, 4, 3, 3, 1, 2, 4, 1, 2, 4, 4, 0, 1, 0, 3, 1, 1, 3, 3, 0, 4, 2, 4, 4, 1, 0, 2, 4, 4, 4, 1, 2, 1, 0, 2, 2, 4, 1, 0, 0, 4, 0, 4, 3, 1, 2, 0, 0, 3, 3, 3, 4, 2, 0, 2, 3, 2, 4, 1, 3, 0, 3, 2, 3, 2, 2, 2, 2, 4, 0, 1, 4, 2, 3, 3, 1, 2, 0, 3, 0, 3, 1, 1, 4, 1, 2, 4, 2, 1, 3, 3, 4, 0, 2, 4, 4, 1, 3, 2, 3, 0, 2, 1, 1, 3, 3, 0, 4, 1, 1, 1, 3, 0, 0, 4, 3, 4, 3, 4, 0, 3, 2, 1, 2, 3, 3, 4, 3, 1, 1, 2, 4, 3, 0, 1, 4, 0, 1, 4, 2, 0, 4, 0, 4, 4, 1] pubkeycol1733 = [2, 4, 0, 4, 0, 2, 3, 2, 4, 2, 2, 3, 4, 1, 2, 2, 1, 4, 0, 2, 4, 2, 3, 0, 3, 3, 3, 4, 4, 2, 3, 0, 4, 2, 2, 1, 0, 3, 3, 2, 4, 2, 3, 3, 3, 2, 4, 4, 0, 2, 0, 3, 3, 3, 3, 2, 0, 2, 2, 3, 3, 1, 4, 2, 3, 1, 4, 2, 3, 3, 3, 2, 0, 3, 0, 0, 0, 4, 1, 4, 1, 3, 3, 2, 4, 2, 4, 3, 1, 0, 1, 1, 4, 2, 1, 3, 1, 0, 0, 1, 4, 1, 4, 4, 3, 2, 1, 3, 2, 3, 2, 1, 3, 4, 1, 2, 4, 1, 2, 1, 2, 3, 2, 3, 2, 0, 0, 2, 4, 1, 1, 3, 2, 3, 0, 0, 1, 1, 3, 0, 0, 0, 0, 0, 0, 2, 4, 2, 2, 3, 4, 0, 2, 3, 2, 4, 2, 0, 3, 3, 2, 1, 0, 3, 4, 3, 4, 2, 2, 4, 2, 0, 1, 4, 1, 3, 3, 3, 2, 1, 3, 2, 0, 2, 4, 1, 4, 4, 3, 3, 4, 2, 3, 2, 4, 3, 3, 4, 3, 1, 0, 3, 3, 2, 3, 2, 3, 1, 1, 3, 4, 0, 3, 3, 3, 4, 0, 4, 1, 1, 0, 4, 3, 2, 3, 1, 1, 2, 1, 1, 0, 3, 2, 3, 1, 3, 3, 2, 2, 2, 0, 4, 1, 3, 3, 1, 2, 0, 3, 1, 1, 3, 3, 3, 4, 4, 1, 2, 3, 0, 3, 4, 1, 0, 1, 3, 4, 3, 1, 2, 2, 0, 0, 1, 4, 2, 2, 0, 4, 2, 3, 1, 1, 2, 3, 4, 2, 4, 4, 2, 4, 2, 3, 0, 2, 3, 0, 1, 1, 0, 4, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 0, 2, 0, 3, 4, 1, 2, 1, 3, 1, 3, 2, 1, 0, 3, 4, 4, 4, 1, 4, 4, 3, 3, 2, 2, 1, 0, 4, 3, 3, 3, 0, 4, 2, 2, 2, 4, 3, 4, 3, 3, 3, 0, 3, 2, 2, 2, 1, 3, 1, 3, 4, 3, 0, 3, 0, 0, 1, 0, 2, 1, 3, 0, 4, 2, 1, 1, 2, 1, 0, 3, 2, 1, 1, 3, 1, 2, 2, 2, 2, 1, 3, 1, 1, 1, 3, 4, 0, 3] pubkeycol1734 = [1, 3, 0, 2, 3, 2, 0, 4, 2, 2, 0, 1, 0, 3, 0, 1, 3, 0, 1, 2, 4, 1, 2, 3, 3, 2, 2, 3, 0, 2, 3, 3, 2, 1, 0, 3, 0, 0, 4, 0, 1, 1, 0, 2, 4, 1, 4, 2, 0, 3, 1, 4, 1, 1, 4, 2, 0, 0, 1, 2, 3, 4, 0, 3, 4, 3, 4, 3, 0, 0, 0, 1, 3, 3, 2, 1, 1, 1, 2, 4, 1, 4, 0, 3, 0, 2, 2, 0, 0, 1, 0, 4, 4, 1, 1, 3, 0, 1, 4, 1, 0, 0, 4, 0, 3, 4, 4, 0, 4, 1, 3, 4, 3, 2, 0, 3, 2, 0, 0, 0, 3, 4, 2, 3, 4, 1, 2, 2, 0, 4, 0, 3, 0, 1, 1, 3, 2, 0, 4, 2, 2, 1, 0, 0, 0, 0, 2, 3, 1, 0, 0, 3, 3, 2, 3, 0, 0, 2, 1, 3, 1, 2, 2, 3, 1, 3, 1, 4, 3, 1, 4, 4, 0, 1, 3, 3, 1, 1, 4, 2, 1, 4, 3, 0, 3, 0, 1, 0, 0, 3, 3, 4, 3, 2, 0, 2, 1, 2, 2, 0, 4, 2, 1, 3, 4, 2, 0, 2, 2, 1, 1, 1, 4, 0, 4, 1, 4, 0, 1, 0, 0, 2, 4, 1, 0, 2, 4, 0, 0, 2, 2, 0, 0, 4, 3, 4, 0, 1, 3, 2, 0, 1, 0, 0, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1, 2, 3, 3, 1, 4, 0, 1, 3, 3, 4, 3, 2, 1, 4, 3, 4, 2, 2, 0, 4, 3, 0, 3, 1, 0, 2, 2, 0, 4, 1, 3, 3, 2, 0, 2, 1, 1, 2, 0, 0, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 2, 3, 2, 4, 0, 0, 0, 0, 3, 4, 2, 0, 2, 4, 3, 2, 3, 3, 0, 3, 3, 3, 0, 0, 4, 1, 4, 2, 4, 3, 3, 4, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 2, 1, 1, 2, 4, 3, 4, 0, 1, 4, 0, 3, 2, 2, 1, 4, 3, 3, 4, 0, 3, 0, 2, 3, 1, 0, 4, 0, 4, 4, 0, 2, 0, 2, 3, 1, 3, 3, 2, 1, 4, 1, 4, 0, 0, 2, 0, 2, 0, 3, 4, 0, 1, 0] pubkeycol1735 = [3, 4, 4, 1, 0, 2, 2, 2, 4, 3, 4, 3, 3, 3, 2, 3, 3, 1, 3, 2, 0, 4, 0, 4, 2, 0, 4, 3, 2, 3, 2, 1, 4, 4, 2, 2, 0, 1, 4, 3, 0, 3, 3, 4, 4, 2, 2, 3, 4, 4, 1, 1, 2, 2, 3, 3, 4, 0, 1, 4, 1, 1, 0, 3, 1, 0, 4, 0, 3, 1, 2, 4, 1, 0, 4, 2, 1, 2, 0, 4, 2, 0, 2, 0, 4, 1, 0, 3, 3, 2, 4, 3, 4, 4, 1, 4, 1, 2, 3, 0, 1, 0, 4, 4, 3, 3, 4, 3, 4, 4, 3, 0, 4, 1, 3, 3, 2, 2, 3, 0, 0, 4, 3, 1, 1, 2, 4, 1, 3, 3, 2, 2, 0, 4, 3, 3, 2, 4, 4, 3, 0, 1, 3, 0, 4, 3, 1, 4, 0, 2, 4, 3, 1, 1, 0, 0, 2, 4, 2, 4, 1, 4, 3, 1, 4, 3, 3, 3, 3, 2, 2, 2, 3, 4, 3, 1, 1, 0, 3, 0, 0, 3, 3, 2, 4, 0, 1, 2, 3, 4, 4, 3, 2, 4, 3, 4, 2, 0, 3, 2, 1, 3, 4, 1, 4, 3, 4, 4, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 0, 2, 0, 0, 0, 3, 1, 4, 4, 3, 1, 4, 4, 0, 2, 4, 0, 3, 0, 1, 1, 2, 1, 3, 4, 2, 2, 0, 4, 0, 3, 3, 3, 0, 3, 4, 4, 2, 3, 2, 3, 0, 3, 3, 4, 4, 2, 4, 4, 4, 4, 2, 1, 3, 1, 1, 2, 3, 0, 0, 2, 0, 2, 3, 3, 4, 3, 2, 3, 3, 0, 1, 4, 3, 2, 3, 4, 0, 0, 1, 3, 4, 2, 0, 2, 4, 4, 4, 4, 4, 3, 2, 2, 0, 0, 4, 1, 3, 4, 1, 0, 1, 3, 2, 2, 3, 3, 4, 4, 2, 0, 4, 1, 3, 3, 3, 0, 0, 0, 1, 4, 0, 3, 2, 3, 0, 0, 3, 2, 2, 0, 4, 0, 3, 1, 4, 4, 4, 3, 4, 2, 2, 4, 2, 1, 4, 0, 2, 0, 0, 1, 3, 1, 4, 4, 4, 3, 3, 3, 0, 2, 1, 3, 4, 0, 0, 1, 0, 1, 2, 2, 1, 0, 4, 0, 3, 0, 3, 0, 1, 2, 3] pubkeycol1736 = [1, 1, 4, 4, 4, 2, 4, 0, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 1, 0, 4, 4, 3, 2, 4, 0, 1, 3, 2, 2, 4, 4, 3, 1, 4, 0, 4, 3, 1, 1, 4, 2, 4, 4, 3, 0, 2, 1, 0, 4, 2, 2, 1, 1, 3, 4, 2, 0, 3, 4, 2, 1, 2, 0, 2, 3, 3, 3, 1, 3, 2, 3, 4, 0, 3, 4, 0, 3, 3, 4, 2, 2, 0, 3, 2, 2, 1, 0, 3, 3, 3, 1, 4, 1, 3, 0, 0, 3, 1, 3, 3, 4, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 3, 4, 2, 0, 4, 1, 2, 3, 3, 0, 1, 4, 1, 1, 2, 1, 0, 4, 0, 0, 3, 1, 2, 3, 1, 4, 2, 2, 2, 3, 4, 1, 3, 1, 0, 1, 4, 0, 1, 3, 4, 1, 2, 0, 2, 2, 3, 1, 2, 4, 4, 4, 3, 0, 2, 0, 3, 2, 2, 4, 4, 0, 3, 0, 1, 4, 0, 3, 3, 3, 0, 4, 4, 4, 2, 0, 4, 4, 0, 1, 2, 3, 4, 0, 0, 2, 4, 1, 4, 3, 1, 0, 2, 1, 3, 1, 0, 0, 1, 0, 1, 4, 0, 4, 0, 0, 0, 1, 2, 3, 0, 3, 0, 1, 0, 2, 1, 0, 2, 4, 4, 2, 0, 2, 1, 4, 3, 0, 2, 0, 1, 1, 4, 0, 1, 1, 3, 1, 0, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 4, 2, 4, 4, 4, 1, 3, 2, 4, 2, 2, 4, 4, 4, 2, 2, 0, 4, 3, 1, 0, 1, 0, 1, 2, 4, 4, 3, 1, 0, 0, 0, 1, 4, 4, 1, 3, 3, 4, 1, 3, 1, 3, 3, 3, 3, 1, 1, 3, 0, 0, 0, 0, 0, 3, 2, 3, 0, 3, 1, 3, 0, 3, 4, 0, 2, 2, 2, 3, 0, 0, 3, 0, 2, 3, 3, 2, 1, 3, 4, 1, 0, 0, 3, 3, 2, 0, 1, 4, 4, 0, 1, 2, 2, 0, 2, 0, 3, 3, 2, 3, 4, 0, 1, 4, 0, 1, 2, 0, 3, 0, 3, 2, 4, 2, 0, 4, 1, 2, 1, 3, 3, 2, 0, 4, 4, 1, 1, 2, 0, 1, 4, 1, 2, 0, 2] pubkeycol1737 = [0, 1, 1, 2, 4, 2, 0, 3, 2, 0, 3, 4, 1, 2, 2, 4, 1, 4, 0, 1, 1, 1, 1, 3, 3, 3, 4, 2, 2, 0, 1, 4, 0, 2, 2, 1, 1, 4, 1, 4, 1, 3, 4, 4, 2, 2, 0, 2, 4, 1, 2, 0, 3, 0, 2, 1, 2, 1, 1, 2, 0, 4, 4, 2, 1, 1, 3, 1, 2, 0, 0, 2, 2, 4, 4, 3, 4, 1, 0, 3, 1, 1, 1, 0, 0, 3, 3, 4, 1, 2, 4, 1, 4, 2, 2, 1, 0, 4, 1, 1, 2, 2, 0, 3, 1, 0, 0, 4, 3, 0, 3, 3, 0, 0, 2, 4, 1, 4, 1, 3, 2, 3, 2, 4, 4, 1, 2, 3, 4, 0, 0, 1, 1, 4, 3, 2, 3, 0, 0, 3, 2, 3, 0, 0, 0, 4, 4, 1, 4, 2, 4, 3, 4, 1, 0, 4, 1, 1, 1, 4, 4, 4, 0, 3, 2, 2, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 0, 1, 2, 1, 2, 2, 4, 1, 3, 0, 2, 3, 1, 2, 2, 1, 0, 1, 3, 0, 1, 2, 2, 1, 3, 4, 1, 3, 3, 3, 4, 4, 4, 3, 0, 3, 2, 4, 0, 0, 0, 0, 1, 2, 3, 3, 2, 4, 0, 0, 1, 3, 3, 3, 2, 0, 2, 4, 1, 4, 1, 0, 1, 3, 0, 1, 0, 2, 4, 2, 3, 2, 1, 1, 4, 3, 0, 4, 2, 3, 2, 0, 4, 4, 4, 0, 2, 4, 0, 1, 1, 0, 1, 3, 0, 0, 3, 1, 1, 1, 1, 4, 1, 4, 2, 1, 0, 0, 0, 0, 4, 3, 1, 1, 0, 0, 2, 2, 1, 0, 0, 4, 0, 2, 0, 4, 1, 1, 4, 0, 3, 1, 1, 3, 2, 0, 4, 2, 2, 1, 0, 0, 4, 3, 3, 4, 1, 3, 3, 0, 0, 1, 4, 2, 2, 3, 2, 2, 0, 4, 3, 3, 4, 4, 2, 4, 0, 1, 2, 1, 4, 1, 0, 4, 3, 2, 1, 4, 4, 0, 3, 2, 4, 1, 0, 2, 1, 1, 2, 0, 3, 2, 0, 1, 1, 1, 4, 4, 0, 3, 3, 0, 4, 4, 2, 1, 0, 4, 2, 0, 1, 0, 4, 2, 1, 4, 3, 0, 0, 4, 4, 1] pubkeycol1738 = [1, 2, 3, 4, 1, 0, 0, 4, 4, 2, 2, 3, 1, 4, 1, 1, 2, 3, 3, 3, 3, 4, 1, 4, 4, 3, 1, 0, 4, 2, 0, 3, 2, 3, 0, 2, 0, 1, 0, 1, 3, 4, 0, 3, 4, 1, 2, 0, 0, 0, 0, 0, 1, 4, 1, 2, 3, 2, 3, 2, 4, 0, 1, 4, 2, 0, 1, 3, 3, 3, 3, 1, 3, 1, 0, 4, 1, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 4, 2, 0, 0, 2, 0, 3, 1, 1, 1, 1, 4, 2, 4, 2, 4, 3, 3, 1, 0, 2, 0, 0, 3, 2, 1, 2, 3, 4, 4, 3, 1, 4, 0, 4, 1, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 4, 2, 3, 2, 0, 4, 2, 3, 0, 4, 0, 4, 0, 1, 0, 4, 4, 0, 3, 2, 0, 4, 3, 3, 0, 1, 4, 4, 3, 3, 3, 2, 0, 2, 4, 2, 4, 2, 1, 0, 1, 1, 1, 3, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 3, 3, 3, 0, 1, 0, 0, 0, 1, 3, 1, 3, 0, 1, 0, 4, 2, 3, 3, 1, 1, 4, 3, 2, 0, 0, 4, 3, 1, 4, 3, 3, 2, 3, 0, 3, 4, 3, 2, 2, 3, 4, 3, 2, 2, 4, 1, 2, 2, 1, 3, 3, 0, 0, 3, 2, 3, 3, 4, 0, 0, 0, 1, 2, 1, 0, 4, 4, 0, 2, 0, 0, 1, 3, 3, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 3, 1, 3, 3, 1, 4, 0, 1, 3, 1, 3, 4, 1, 3, 2, 2, 0, 0, 3, 2, 1, 0, 0, 0, 4, 2, 1, 3, 0, 3, 3, 1, 4, 0, 1, 2, 1, 4, 3, 4, 3, 2, 0, 1, 3, 1, 2, 4, 4, 0, 3, 0, 1, 1, 0, 3, 1, 3, 2, 3, 4, 2, 4, 2, 2, 2, 0, 1, 0, 4, 3, 1, 1, 2, 2, 1, 0, 3, 0, 4, 1, 4, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 4, 1, 2, 0, 2, 4, 4, 1, 4, 4, 3, 1, 3, 0, 3, 3, 1, 3, 1, 2, 1, 2, 4, 3, 3, 2, 2, 4, 3, 1, 1] pubkeycol1739 = [4, 0, 4, 0, 1, 2, 3, 0, 3, 0, 1, 2, 1, 2, 2, 4, 3, 1, 0, 4, 2, 1, 0, 3, 3, 1, 4, 4, 2, 1, 4, 4, 4, 4, 2, 0, 3, 2, 1, 3, 1, 3, 4, 0, 4, 2, 1, 3, 4, 1, 1, 2, 1, 1, 1, 3, 0, 1, 3, 0, 3, 4, 1, 0, 3, 0, 3, 4, 3, 4, 4, 2, 1, 2, 2, 2, 0, 3, 1, 2, 2, 3, 1, 1, 0, 4, 2, 3, 0, 2, 2, 4, 3, 3, 3, 4, 0, 4, 2, 2, 3, 3, 4, 4, 1, 4, 1, 3, 2, 2, 3, 4, 1, 2, 3, 4, 1, 3, 3, 2, 1, 3, 0, 0, 1, 4, 3, 1, 0, 3, 0, 0, 1, 4, 0, 0, 3, 3, 0, 0, 0, 3, 2, 3, 4, 2, 3, 4, 2, 0, 2, 4, 3, 3, 2, 2, 1, 4, 2, 3, 2, 4, 2, 1, 3, 0, 2, 0, 2, 1, 1, 4, 0, 3, 1, 2, 1, 2, 0, 0, 1, 4, 3, 2, 2, 0, 1, 0, 2, 4, 2, 1, 1, 3, 0, 0, 2, 3, 3, 2, 4, 4, 2, 1, 1, 4, 3, 2, 4, 2, 2, 0, 1, 3, 3, 1, 0, 3, 4, 0, 0, 2, 4, 3, 1, 4, 0, 0, 2, 0, 4, 2, 3, 1, 1, 0, 4, 2, 0, 0, 1, 1, 1, 4, 0, 1, 4, 2, 0, 0, 3, 1, 2, 2, 0, 4, 2, 0, 3, 0, 1, 2, 0, 2, 1, 1, 3, 1, 0, 2, 3, 0, 0, 2, 1, 3, 2, 2, 3, 3, 1, 1, 1, 0, 4, 1, 1, 2, 0, 1, 2, 1, 0, 3, 2, 4, 2, 3, 1, 2, 2, 4, 1, 1, 3, 3, 2, 3, 3, 1, 4, 3, 0, 1, 4, 1, 1, 3, 4, 3, 3, 0, 1, 0, 0, 4, 3, 1, 1, 1, 2, 4, 0, 3, 4, 0, 1, 4, 2, 1, 1, 2, 0, 3, 3, 3, 3, 2, 1, 2, 1, 0, 4, 1, 2, 1, 3, 2, 1, 1, 4, 0, 2, 3, 4, 2, 1, 0, 4, 2, 3, 0, 0, 4, 0, 2, 3, 3, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 3, 0, 0, 1, 4, 3, 2, 0, 4, 1, 0, 4] pubkeycol1740 = [1, 2, 1, 0, 4, 0, 1, 2, 4, 0, 1, 2, 3, 2, 2, 4, 2, 2, 1, 0, 1, 4, 4, 1, 2, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 0, 2, 4, 0, 4, 4, 1, 0, 0, 0, 1, 1, 0, 3, 3, 4, 3, 2, 0, 0, 3, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 4, 4, 3, 1, 2, 3, 3, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 4, 1, 3, 1, 1, 2, 4, 3, 0, 0, 3, 1, 4, 1, 3, 3, 0, 1, 2, 4, 4, 2, 1, 1, 3, 4, 1, 2, 1, 2, 4, 4, 2, 4, 4, 1, 0, 3, 2, 4, 0, 4, 4, 1, 0, 4, 2, 1, 4, 4, 4, 2, 1, 0, 4, 1, 0, 0, 0, 3, 1, 2, 0, 2, 3, 3, 0, 2, 2, 2, 1, 1, 3, 4, 4, 4, 1, 0, 4, 4, 1, 0, 0, 0, 3, 3, 1, 2, 1, 1, 1, 4, 4, 3, 4, 0, 4, 4, 1, 2, 2, 1, 3, 3, 1, 4, 4, 2, 4, 1, 0, 2, 0, 2, 2, 1, 2, 3, 4, 3, 1, 2, 0, 0, 1, 4, 2, 3, 0, 0, 2, 1, 2, 4, 0, 4, 2, 2, 1, 2, 4, 2, 0, 4, 4, 1, 2, 3, 3, 4, 4, 0, 0, 1, 4, 0, 1, 0, 1, 3, 1, 2, 3, 1, 4, 0, 2, 4, 2, 4, 4, 2, 1, 0, 2, 0, 3, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 3, 1, 2, 4, 2, 1, 0, 2, 4, 2, 2, 0, 3, 2, 3, 4, 1, 0, 4, 3, 1, 1, 0, 2, 4, 2, 4, 0, 0, 3, 2, 0, 3, 1, 1, 1, 2, 2, 4, 2, 4, 0, 3, 3, 4, 4, 1, 3, 3, 1, 4, 4, 3, 0, 4, 2, 1, 4, 3, 3, 4, 2, 1, 4, 1, 0, 3, 2, 2, 2, 3, 3, 4, 2, 0, 0, 4, 1, 0, 3, 3, 2, 1, 1, 4, 0, 3, 1, 0, 1, 0, 2, 0, 2, 3, 0, 0, 3, 4, 2, 2, 2, 0, 3, 2, 0, 4, 3, 3, 0, 1, 3, 3, 1, 0, 3, 4, 2, 4, 3, 0, 3, 3, 3, 4] pubkeycol1741 = [4, 4, 0, 4, 0, 3, 0, 0, 2, 1, 2, 0, 0, 2, 3, 4, 2, 0, 3, 0, 1, 3, 1, 1, 1, 1, 1, 4, 4, 3, 2, 4, 3, 1, 2, 0, 2, 1, 2, 4, 2, 4, 1, 4, 3, 3, 4, 3, 3, 2, 0, 2, 2, 0, 2, 1, 2, 4, 0, 0, 3, 1, 1, 2, 1, 2, 0, 0, 2, 3, 4, 4, 1, 1, 4, 4, 1, 2, 2, 0, 2, 3, 4, 0, 0, 0, 4, 1, 3, 4, 2, 2, 3, 3, 2, 1, 4, 0, 0, 0, 3, 4, 1, 2, 3, 0, 4, 3, 4, 2, 1, 1, 1, 3, 4, 2, 4, 3, 1, 2, 0, 1, 1, 3, 0, 1, 1, 1, 1, 2, 3, 1, 2, 3, 2, 4, 1, 0, 0, 1, 4, 1, 1, 2, 4, 2, 2, 0, 0, 4, 2, 0, 0, 2, 3, 0, 1, 3, 2, 1, 2, 1, 1, 1, 3, 2, 3, 0, 1, 0, 1, 3, 3, 4, 0, 3, 1, 4, 2, 2, 1, 4, 2, 1, 1, 2, 2, 1, 3, 2, 2, 0, 0, 1, 4, 0, 1, 4, 0, 3, 1, 4, 0, 3, 2, 0, 1, 0, 4, 4, 0, 3, 2, 4, 0, 0, 2, 3, 2, 2, 2, 2, 0, 4, 3, 4, 1, 0, 0, 1, 2, 3, 1, 4, 0, 0, 3, 1, 2, 4, 3, 3, 1, 0, 4, 2, 2, 3, 3, 2, 0, 1, 0, 0, 3, 0, 2, 4, 2, 2, 0, 2, 1, 2, 4, 2, 4, 4, 2, 0, 2, 3, 3, 2, 1, 3, 1, 3, 0, 0, 2, 3, 2, 2, 3, 0, 0, 3, 0, 4, 2, 4, 3, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 4, 4, 0, 0, 1, 4, 0, 3, 4, 2, 4, 1, 1, 1, 0, 3, 2, 1, 0, 3, 2, 4, 3, 3, 3, 0, 4, 4, 1, 3, 2, 0, 0, 0, 3, 1, 4, 3, 0, 4, 0, 0, 4, 1, 0, 2, 2, 2, 0, 4, 4, 0, 4, 0, 2, 1, 2, 2, 1, 4, 3, 0, 4, 2, 4, 1, 2, 2, 2, 3, 1, 3, 0, 0, 0, 2, 3, 0, 2, 0, 0, 1, 1, 2, 0, 2] pubkeycol1742 = [3, 1, 4, 4, 1, 0, 1, 3, 0, 4, 1, 3, 3, 1, 3, 0, 0, 2, 2, 3, 2, 2, 0, 4, 0, 0, 0, 3, 0, 3, 2, 3, 3, 3, 2, 1, 2, 4, 3, 0, 1, 1, 4, 3, 0, 2, 2, 1, 3, 3, 4, 3, 1, 4, 0, 4, 1, 4, 2, 1, 1, 4, 1, 3, 2, 3, 0, 1, 2, 4, 2, 0, 2, 1, 2, 1, 0, 4, 0, 4, 2, 3, 3, 3, 0, 3, 1, 1, 2, 1, 0, 2, 1, 2, 3, 2, 2, 0, 3, 2, 3, 0, 3, 0, 3, 4, 2, 1, 4, 1, 3, 2, 4, 0, 3, 4, 3, 0, 2, 3, 1, 0, 1, 1, 0, 3, 0, 2, 3, 3, 1, 3, 4, 1, 4, 1, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 3, 4, 4, 3, 4, 2, 2, 0, 2, 2, 1, 1, 1, 2, 3, 4, 2, 1, 1, 4, 4, 3, 2, 0, 4, 1, 2, 2, 1, 2, 4, 3, 3, 2, 3, 4, 3, 0, 0, 3, 0, 3, 2, 3, 1, 4, 4, 2, 3, 3, 3, 1, 4, 4, 1, 0, 2, 1, 3, 3, 2, 4, 0, 4, 0, 3, 1, 3, 3, 3, 4, 0, 1, 1, 4, 2, 4, 0, 0, 0, 2, 3, 0, 0, 0, 2, 1, 2, 4, 4, 1, 2, 2, 1, 2, 1, 1, 4, 4, 0, 0, 3, 0, 1, 4, 0, 0, 1, 1, 0, 2, 4, 3, 2, 2, 2, 3, 2, 1, 1, 0, 4, 3, 4, 4, 3, 0, 2, 3, 4, 3, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 3, 4, 3, 4, 0, 2, 4, 0, 3, 1, 0, 4, 4, 3, 2, 2, 2, 3, 4, 3, 4, 0, 4, 3, 1, 4, 2, 1, 3, 3, 3, 1, 4, 0, 3, 1, 4, 2, 1, 4, 2, 0, 2, 0, 1, 3, 2, 0, 3, 0, 4, 1, 2, 3, 3, 3, 1, 0, 3, 2, 3, 0, 3, 0, 2, 0, 0, 2, 3, 1, 4, 3, 3, 0, 3, 3, 1, 4, 3, 4, 2, 2, 4, 1, 4, 2, 0, 3, 3, 1, 0, 3, 1, 0, 2, 0, 0, 3, 1, 4, 2, 3, 2, 0, 2, 4, 3, 0, 4, 1] pubkeycol1743 = [0, 4, 3, 4, 3, 2, 2, 1, 4, 3, 1, 1, 3, 3, 0, 4, 0, 0, 0, 2, 3, 1, 2, 2, 0, 1, 3, 3, 4, 1, 1, 0, 1, 2, 2, 3, 2, 3, 2, 2, 2, 0, 2, 2, 2, 3, 3, 2, 3, 2, 0, 3, 2, 4, 0, 2, 0, 1, 4, 3, 4, 1, 3, 1, 3, 0, 0, 3, 0, 2, 4, 0, 2, 4, 4, 0, 0, 2, 3, 4, 0, 1, 4, 3, 3, 3, 4, 4, 2, 1, 1, 4, 4, 0, 0, 3, 3, 4, 3, 0, 0, 4, 1, 2, 3, 2, 3, 0, 4, 1, 2, 3, 2, 4, 1, 4, 4, 3, 2, 2, 2, 1, 2, 1, 0, 3, 2, 1, 0, 2, 4, 1, 3, 2, 0, 4, 4, 4, 4, 4, 1, 3, 3, 0, 3, 2, 0, 3, 1, 3, 1, 3, 2, 3, 0, 2, 2, 4, 1, 4, 4, 3, 2, 2, 3, 4, 4, 2, 0, 3, 1, 3, 0, 2, 3, 1, 0, 3, 4, 4, 2, 2, 1, 3, 4, 2, 2, 4, 1, 2, 1, 3, 3, 2, 4, 1, 4, 1, 0, 4, 0, 2, 2, 2, 0, 1, 4, 0, 4, 3, 3, 2, 3, 4, 1, 0, 1, 4, 1, 1, 1, 4, 4, 3, 1, 0, 1, 0, 0, 3, 4, 0, 0, 2, 3, 1, 1, 0, 4, 2, 3, 0, 4, 1, 3, 2, 1, 2, 3, 0, 4, 4, 1, 2, 3, 4, 4, 0, 1, 4, 2, 3, 3, 0, 4, 1, 0, 4, 2, 3, 3, 1, 0, 0, 0, 1, 3, 3, 2, 2, 3, 3, 0, 4, 4, 0, 1, 4, 1, 1, 1, 4, 4, 2, 0, 0, 2, 1, 1, 3, 1, 1, 2, 1, 1, 3, 2, 0, 1, 1, 2, 1, 4, 3, 1, 4, 0, 1, 0, 2, 1, 4, 1, 4, 3, 0, 4, 3, 2, 3, 4, 0, 2, 3, 2, 2, 3, 3, 3, 3, 4, 3, 0, 3, 3, 3, 0, 2, 3, 0, 0, 1, 1, 1, 0, 3, 2, 1, 1, 1, 0, 1, 0, 0, 0, 3, 2, 0, 4, 1, 0, 2, 4, 2, 1, 1, 0, 0, 2, 2, 4, 3, 1, 1, 3, 1, 1, 0, 0, 1, 2, 4, 1, 0, 4, 0, 0, 4, 2, 1] pubkeycol1744 = [3, 2, 3, 0, 3, 1, 4, 4, 0, 0, 4, 2, 2, 2, 4, 2, 4, 0, 0, 3, 4, 1, 1, 1, 3, 4, 2, 2, 3, 2, 1, 3, 0, 2, 2, 1, 0, 3, 1, 3, 2, 0, 4, 0, 3, 3, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 3, 2, 0, 4, 1, 2, 0, 1, 4, 0, 0, 0, 2, 4, 4, 1, 0, 1, 4, 2, 3, 4, 2, 4, 1, 2, 1, 4, 2, 2, 0, 3, 0, 2, 3, 4, 4, 4, 0, 4, 1, 0, 1, 1, 4, 4, 1, 4, 1, 3, 1, 0, 1, 2, 1, 4, 0, 2, 1, 4, 0, 0, 4, 4, 3, 3, 4, 2, 2, 1, 2, 4, 0, 0, 4, 4, 4, 2, 0, 4, 3, 0, 2, 4, 1, 3, 4, 1, 2, 4, 2, 3, 4, 1, 1, 3, 3, 2, 4, 3, 4, 3, 2, 4, 3, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 3, 0, 1, 0, 3, 2, 3, 3, 1, 3, 1, 2, 0, 3, 0, 1, 3, 3, 3, 4, 3, 0, 4, 0, 1, 0, 2, 1, 4, 1, 1, 1, 4, 4, 4, 1, 3, 0, 3, 4, 2, 2, 1, 3, 4, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 3, 0, 0, 0, 0, 4, 3, 3, 4, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 4, 0, 1, 1, 1, 1, 1, 0, 3, 3, 2, 1, 2, 0, 3, 0, 4, 3, 3, 3, 4, 0, 2, 1, 4, 4, 2, 2, 4, 1, 3, 3, 3, 3, 1, 4, 4, 4, 3, 3, 0, 1, 0, 0, 3, 1, 4, 0, 1, 3, 2, 0, 4, 2, 0, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 1, 2, 0, 3, 0, 4, 2, 0, 2, 0, 4, 3, 0, 2, 2, 1, 3, 4, 1, 0, 1, 1, 4, 2, 0, 3, 0, 4, 3, 1, 4, 4, 4, 4, 1, 3, 4, 1, 2, 3, 2, 2, 4, 2, 0, 0, 0, 3, 1, 0, 1, 4, 2, 4, 2, 1, 0, 1, 3, 2, 4, 2, 0, 2, 1, 1, 0, 3, 0, 0, 0, 1, 3, 1, 1, 3, 4, 2, 3, 2, 2, 4, 3] pubkeycol1745 = [2, 0, 4, 1, 2, 3, 2, 4, 0, 1, 4, 2, 4, 1, 4, 1, 2, 0, 4, 4, 2, 3, 3, 2, 2, 1, 4, 0, 3, 0, 3, 4, 2, 2, 0, 0, 1, 4, 0, 4, 2, 2, 4, 0, 1, 4, 0, 0, 0, 1, 2, 1, 3, 1, 3, 4, 1, 1, 1, 3, 2, 3, 1, 4, 4, 4, 3, 1, 4, 1, 0, 3, 2, 4, 0, 1, 3, 4, 0, 1, 2, 3, 2, 4, 1, 1, 2, 1, 3, 4, 1, 0, 1, 2, 2, 0, 2, 2, 3, 1, 4, 2, 3, 4, 3, 4, 2, 4, 3, 0, 3, 0, 4, 0, 1, 1, 4, 0, 2, 3, 1, 0, 3, 0, 0, 0, 4, 3, 1, 4, 2, 0, 2, 3, 0, 3, 4, 4, 3, 1, 4, 1, 0, 1, 3, 0, 2, 4, 0, 3, 1, 1, 2, 2, 0, 4, 1, 1, 2, 4, 3, 4, 2, 2, 0, 4, 2, 1, 0, 0, 1, 2, 0, 4, 2, 1, 2, 1, 3, 1, 2, 2, 1, 4, 1, 3, 0, 0, 1, 0, 1, 4, 2, 0, 1, 4, 2, 1, 1, 2, 3, 1, 3, 3, 0, 3, 2, 1, 1, 1, 3, 4, 4, 4, 4, 1, 3, 4, 0, 2, 3, 2, 1, 3, 4, 2, 3, 2, 1, 1, 2, 4, 0, 3, 2, 0, 4, 2, 4, 4, 4, 3, 1, 2, 2, 4, 1, 1, 4, 2, 3, 0, 1, 1, 2, 3, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 4, 0, 1, 4, 3, 0, 2, 3, 4, 2, 3, 4, 3, 4, 4, 0, 4, 0, 3, 3, 0, 1, 3, 2, 4, 2, 2, 1, 3, 0, 3, 2, 0, 2, 0, 4, 2, 0, 0, 0, 3, 0, 4, 0, 0, 4, 3, 2, 1, 3, 1, 0, 2, 0, 0, 0, 3, 0, 4, 1, 0, 0, 1, 2, 0, 2, 3, 4, 3, 2, 3, 1, 4, 2, 4, 4, 1, 2, 4, 2, 3, 2, 3, 2, 1, 2, 1, 3, 3, 0, 0, 1, 0, 3, 3, 1, 4, 4, 2, 0, 1, 0, 4, 3, 3, 0, 0, 1, 2, 1, 2, 4, 0, 1, 2, 0, 3, 1, 1, 4, 3, 4, 1, 2, 4, 1, 2, 1, 4, 1, 2, 0, 4, 2] pubkeycol1746 = [4, 1, 0, 4, 2, 1, 2, 4, 4, 4, 3, 2, 1, 0, 1, 4, 0, 1, 1, 2, 2, 2, 1, 4, 2, 3, 1, 0, 1, 4, 1, 2, 3, 0, 2, 3, 0, 4, 3, 2, 4, 1, 1, 2, 2, 1, 2, 3, 2, 1, 4, 1, 1, 3, 4, 4, 0, 2, 4, 1, 1, 2, 4, 4, 4, 3, 0, 1, 0, 3, 2, 2, 2, 4, 4, 2, 3, 1, 1, 1, 2, 4, 2, 2, 1, 0, 0, 0, 1, 3, 4, 1, 2, 4, 4, 3, 4, 4, 0, 2, 3, 2, 2, 4, 2, 0, 3, 4, 4, 0, 1, 3, 2, 4, 3, 1, 3, 4, 4, 4, 0, 3, 2, 2, 1, 1, 1, 0, 4, 0, 2, 1, 2, 2, 0, 1, 2, 4, 3, 2, 2, 2, 0, 0, 4, 3, 3, 1, 2, 3, 0, 4, 1, 1, 3, 2, 4, 3, 0, 2, 0, 4, 3, 2, 1, 0, 3, 4, 0, 4, 2, 4, 4, 1, 0, 2, 3, 3, 3, 1, 3, 3, 4, 4, 3, 2, 2, 3, 4, 2, 0, 3, 3, 0, 3, 3, 1, 1, 0, 0, 1, 3, 2, 3, 0, 2, 2, 4, 1, 2, 3, 1, 1, 0, 2, 0, 1, 0, 3, 0, 2, 0, 1, 1, 1, 4, 0, 4, 0, 2, 3, 2, 1, 1, 2, 1, 4, 4, 4, 4, 1, 3, 1, 0, 2, 3, 3, 1, 3, 1, 3, 1, 2, 0, 4, 1, 3, 4, 1, 1, 0, 2, 4, 1, 0, 1, 4, 2, 4, 1, 3, 1, 2, 3, 4, 3, 1, 3, 0, 2, 0, 1, 3, 4, 0, 1, 2, 1, 3, 4, 2, 0, 1, 1, 0, 4, 3, 0, 4, 0, 3, 4, 2, 3, 0, 1, 3, 2, 3, 4, 3, 2, 1, 3, 1, 1, 4, 1, 0, 2, 0, 2, 0, 3, 0, 2, 1, 2, 4, 3, 1, 3, 0, 2, 4, 4, 2, 4, 1, 1, 1, 0, 1, 3, 4, 2, 4, 1, 3, 3, 3, 2, 3, 3, 4, 2, 0, 4, 1, 3, 4, 0, 2, 1, 2, 1, 4, 0, 1, 1, 4, 0, 3, 3, 0, 0, 1, 4, 4, 1, 0, 3, 1, 3, 3, 3, 1, 3, 3, 0, 4, 1, 0, 0, 0, 2, 2, 2, 4, 1] pubkeycol1747 = [2, 3, 2, 4, 2, 2, 3, 1, 3, 2, 4, 3, 4, 2, 2, 2, 2, 4, 3, 3, 0, 2, 2, 2, 0, 2, 2, 0, 3, 0, 1, 2, 4, 3, 1, 4, 2, 0, 0, 0, 4, 0, 1, 3, 2, 3, 2, 1, 0, 1, 0, 4, 3, 4, 0, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 4, 1, 0, 4, 3, 0, 0, 0, 4, 0, 0, 0, 1, 1, 0, 4, 1, 1, 2, 1, 2, 3, 1, 0, 0, 4, 0, 1, 3, 3, 1, 1, 2, 3, 1, 2, 2, 0, 4, 0, 1, 4, 2, 4, 2, 3, 2, 0, 2, 1, 0, 1, 1, 3, 0, 4, 4, 3, 4, 3, 0, 3, 4, 0, 1, 4, 2, 3, 3, 4, 0, 1, 2, 3, 3, 1, 1, 3, 3, 1, 4, 4, 4, 2, 0, 2, 1, 1, 4, 4, 3, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 4, 2, 4, 1, 1, 2, 0, 2, 0, 1, 1, 4, 2, 3, 2, 1, 1, 4, 3, 3, 1, 4, 3, 2, 4, 3, 2, 2, 0, 4, 4, 1, 3, 1, 0, 3, 1, 3, 2, 3, 0, 4, 0, 4, 3, 1, 1, 1, 3, 2, 1, 2, 4, 2, 2, 0, 0, 3, 1, 0, 1, 2, 4, 1, 4, 0, 0, 0, 1, 0, 1, 0, 4, 1, 3, 2, 4, 4, 0, 0, 2, 2, 3, 1, 1, 1, 0, 2, 2, 0, 2, 3, 4, 0, 3, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 4, 0, 4, 4, 4, 1, 1, 1, 0, 2, 4, 2, 4, 0, 4, 1, 0, 0, 4, 4, 0, 2, 4, 0, 0, 1, 2, 4, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 0, 0, 4, 2, 4, 1, 1, 0, 4, 4, 4, 1, 4, 1, 2, 0, 0, 3, 4, 0, 2, 4, 0, 4, 3, 4, 0, 3, 0, 3, 4, 2, 1, 0, 0, 4, 4, 4, 1, 2, 4, 3, 3, 1, 2, 4, 3, 2, 1, 0, 2, 2, 2, 3, 1, 0, 3, 2, 1, 0, 1, 0, 1, 3, 0, 2, 1, 3, 3, 0, 0, 4, 1, 0, 2, 3, 4, 0, 4, 1, 4, 3, 4, 1, 3, 2, 3, 1] pubkeycol1748 = [3, 4, 2, 1, 0, 3, 2, 1, 4, 1, 4, 4, 4, 1, 0, 3, 1, 0, 2, 3, 0, 3, 3, 0, 1, 3, 0, 3, 4, 2, 2, 1, 1, 0, 1, 2, 3, 0, 0, 3, 4, 0, 0, 0, 2, 0, 2, 1, 1, 3, 4, 3, 0, 4, 4, 4, 1, 3, 4, 4, 2, 1, 3, 2, 4, 3, 2, 4, 3, 2, 4, 1, 2, 1, 0, 1, 0, 2, 2, 4, 3, 1, 4, 2, 0, 0, 0, 1, 4, 1, 2, 2, 4, 2, 2, 0, 4, 4, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 3, 1, 1, 4, 0, 2, 1, 2, 2, 3, 2, 0, 3, 0, 1, 2, 2, 3, 1, 0, 0, 1, 4, 2, 2, 3, 0, 4, 0, 1, 2, 0, 0, 4, 4, 3, 4, 3, 2, 1, 2, 3, 4, 0, 1, 2, 1, 2, 4, 2, 3, 0, 1, 2, 3, 1, 3, 0, 0, 3, 0, 3, 1, 3, 1, 0, 2, 4, 3, 2, 0, 3, 1, 0, 4, 1, 4, 1, 0, 1, 4, 2, 0, 2, 0, 4, 4, 1, 2, 3, 2, 3, 2, 3, 0, 2, 2, 0, 3, 1, 2, 0, 1, 4, 1, 0, 3, 1, 2, 4, 0, 2, 3, 0, 1, 4, 4, 2, 2, 1, 3, 3, 3, 2, 1, 3, 0, 1, 4, 3, 3, 0, 4, 4, 2, 4, 1, 2, 3, 1, 3, 4, 1, 3, 1, 3, 2, 1, 4, 0, 4, 0, 4, 1, 2, 2, 1, 2, 3, 2, 1, 3, 0, 0, 3, 0, 1, 0, 1, 3, 1, 1, 0, 3, 1, 0, 4, 3, 4, 3, 3, 1, 4, 0, 3, 3, 3, 4, 3, 3, 1, 1, 2, 4, 0, 3, 4, 3, 2, 2, 3, 2, 4, 4, 3, 1, 3, 4, 1, 3, 0, 4, 4, 3, 0, 3, 0, 1, 1, 0, 4, 4, 2, 0, 2, 4, 2, 4, 3, 2, 4, 1, 0, 4, 2, 1, 1, 2, 3, 1, 1, 0, 0, 2, 4, 0, 2, 3, 4, 2, 3, 3, 4, 2, 4, 1, 4, 3, 2, 1, 2, 0, 0, 2, 1, 3, 4, 0, 3, 2, 0, 3, 1, 1, 1, 3, 0, 4, 0, 4, 0, 0, 2, 0, 3, 1, 4, 2, 3, 1, 0] pubkeycol1749 = [0, 1, 2, 0, 1, 3, 3, 2, 0, 0, 0, 4, 2, 4, 2, 1, 0, 1, 0, 0, 4, 3, 2, 4, 4, 2, 0, 3, 0, 3, 3, 1, 2, 1, 1, 4, 4, 3, 1, 1, 3, 0, 0, 2, 2, 0, 2, 2, 0, 0, 4, 2, 4, 2, 0, 1, 1, 4, 3, 1, 0, 4, 1, 0, 4, 3, 3, 2, 1, 2, 4, 0, 0, 4, 2, 3, 1, 3, 2, 2, 4, 2, 2, 2, 4, 2, 1, 3, 4, 4, 3, 3, 4, 2, 3, 1, 4, 2, 2, 0, 2, 0, 4, 3, 1, 2, 2, 4, 4, 0, 0, 4, 4, 1, 0, 0, 3, 0, 2, 3, 2, 4, 2, 2, 0, 3, 2, 2, 2, 2, 0, 3, 4, 0, 3, 4, 0, 4, 0, 0, 2, 0, 0, 0, 1, 4, 0, 0, 0, 2, 4, 0, 0, 0, 4, 0, 4, 2, 3, 0, 2, 1, 3, 4, 1, 4, 4, 4, 4, 1, 2, 2, 0, 1, 4, 0, 2, 3, 2, 2, 0, 3, 2, 4, 0, 1, 3, 3, 2, 2, 0, 2, 3, 3, 4, 1, 1, 0, 0, 4, 4, 4, 3, 0, 1, 4, 3, 1, 3, 0, 4, 1, 1, 4, 4, 3, 3, 2, 1, 2, 0, 0, 1, 3, 4, 1, 2, 3, 3, 0, 0, 2, 4, 1, 1, 4, 4, 1, 1, 0, 0, 3, 3, 3, 4, 2, 4, 4, 1, 2, 4, 2, 4, 2, 2, 4, 1, 4, 4, 0, 3, 1, 0, 0, 2, 2, 4, 0, 0, 3, 4, 3, 2, 3, 4, 0, 3, 4, 0, 0, 1, 2, 0, 0, 2, 3, 3, 0, 2, 1, 1, 2, 3, 2, 2, 1, 0, 4, 3, 0, 4, 4, 0, 4, 3, 2, 0, 2, 3, 3, 2, 4, 3, 1, 3, 1, 1, 4, 0, 2, 3, 3, 2, 3, 0, 2, 1, 3, 4, 3, 3, 3, 4, 4, 4, 0, 4, 3, 3, 0, 4, 1, 3, 3, 4, 3, 3, 3, 4, 3, 3, 0, 1, 3, 1, 2, 3, 0, 2, 2, 1, 4, 2, 1, 0, 0, 4, 2, 0, 0, 3, 3, 4, 0, 3, 3, 3, 2, 4, 2, 2, 0, 2, 0, 3, 0, 0, 0, 4, 2, 2, 1, 2, 0, 0, 3, 1, 4, 0, 0] pubkeycol1750 = [3, 0, 0, 1, 3, 4, 4, 3, 0, 0, 1, 1, 4, 0, 3, 1, 0, 0, 2, 3, 1, 1, 3, 3, 0, 1, 0, 4, 0, 0, 4, 2, 0, 2, 0, 1, 0, 3, 2, 2, 1, 0, 3, 4, 4, 3, 4, 1, 2, 0, 3, 0, 4, 2, 2, 4, 4, 0, 4, 4, 2, 1, 3, 0, 1, 3, 4, 4, 1, 3, 4, 1, 4, 0, 1, 4, 4, 0, 3, 4, 2, 2, 0, 4, 3, 2, 4, 3, 1, 0, 0, 3, 1, 4, 0, 0, 1, 0, 1, 2, 1, 2, 0, 4, 3, 1, 1, 0, 1, 3, 0, 1, 4, 1, 1, 4, 0, 1, 4, 2, 4, 3, 3, 3, 3, 4, 1, 3, 4, 1, 2, 4, 0, 2, 0, 1, 2, 3, 0, 3, 2, 4, 0, 3, 2, 3, 3, 0, 2, 3, 3, 1, 2, 0, 1, 4, 0, 2, 3, 1, 1, 1, 1, 3, 1, 4, 1, 0, 2, 3, 2, 3, 1, 0, 1, 2, 1, 2, 3, 1, 3, 1, 0, 2, 2, 1, 1, 3, 3, 4, 0, 3, 4, 3, 2, 4, 1, 2, 1, 0, 3, 1, 0, 3, 4, 2, 1, 0, 1, 3, 2, 3, 2, 1, 0, 4, 0, 0, 2, 1, 4, 1, 4, 2, 3, 1, 0, 1, 3, 4, 2, 2, 1, 4, 4, 2, 2, 3, 4, 4, 0, 0, 2, 1, 4, 3, 3, 4, 1, 2, 4, 2, 4, 3, 1, 3, 3, 3, 4, 4, 4, 0, 3, 0, 2, 4, 1, 2, 0, 4, 4, 1, 3, 3, 4, 4, 1, 2, 0, 2, 4, 2, 1, 3, 3, 1, 0, 3, 0, 1, 4, 3, 2, 2, 0, 4, 0, 3, 2, 0, 1, 2, 0, 1, 0, 4, 4, 2, 3, 2, 2, 2, 0, 3, 1, 0, 0, 3, 3, 4, 2, 1, 3, 2, 0, 1, 4, 3, 1, 2, 2, 0, 2, 3, 3, 3, 1, 2, 3, 4, 0, 1, 1, 1, 4, 1, 0, 4, 3, 4, 1, 1, 2, 0, 3, 3, 0, 1, 1, 3, 0, 2, 0, 2, 1, 0, 3, 2, 0, 3, 0, 0, 1, 0, 0, 0, 4, 2, 4, 0, 0, 1, 2, 0, 2, 4, 2, 3, 3, 3, 0, 1, 0, 4, 2, 2, 0, 3, 0, 2] pubkeycol1751 = [3, 2, 4, 0, 0, 3, 2, 4, 2, 4, 1, 4, 1, 1, 4, 2, 3, 2, 3, 3, 4, 3, 1, 2, 3, 1, 1, 0, 4, 0, 3, 0, 4, 0, 3, 3, 0, 3, 3, 0, 0, 4, 2, 1, 4, 4, 3, 1, 1, 4, 3, 4, 0, 2, 0, 4, 1, 3, 3, 4, 3, 4, 2, 1, 1, 1, 1, 4, 1, 0, 3, 2, 2, 3, 1, 2, 4, 0, 4, 1, 2, 3, 0, 0, 2, 2, 4, 1, 4, 0, 1, 2, 4, 3, 0, 3, 4, 3, 3, 0, 2, 3, 1, 0, 1, 4, 4, 3, 2, 4, 1, 1, 2, 4, 1, 3, 0, 0, 2, 1, 3, 3, 2, 2, 2, 3, 0, 1, 0, 0, 3, 2, 2, 2, 3, 2, 2, 0, 2, 4, 1, 1, 1, 1, 3, 3, 1, 2, 3, 1, 1, 4, 2, 2, 2, 2, 3, 1, 0, 1, 0, 3, 1, 4, 0, 2, 1, 2, 0, 2, 4, 1, 1, 1, 0, 3, 1, 3, 3, 4, 2, 3, 0, 2, 4, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 4, 2, 4, 1, 4, 0, 3, 4, 2, 4, 4, 2, 4, 3, 3, 0, 1, 2, 3, 0, 4, 1, 2, 2, 2, 0, 4, 1, 3, 0, 2, 2, 0, 0, 4, 3, 0, 4, 4, 0, 0, 1, 3, 1, 3, 4, 0, 4, 3, 1, 3, 4, 1, 0, 1, 4, 3, 3, 1, 0, 3, 0, 2, 4, 3, 0, 4, 3, 1, 2, 0, 0, 4, 0, 1, 3, 1, 0, 3, 3, 4, 1, 1, 1, 1, 3, 1, 3, 0, 4, 0, 0, 4, 1, 1, 4, 3, 2, 2, 4, 4, 2, 4, 4, 3, 3, 3, 0, 0, 2, 4, 4, 2, 2, 4, 2, 4, 0, 4, 3, 0, 1, 3, 1, 4, 3, 4, 0, 4, 0, 2, 1, 0, 4, 0, 4, 1, 3, 2, 4, 0, 0, 4, 0, 3, 2, 2, 0, 2, 4, 3, 0, 0, 4, 4, 2, 0, 1, 1, 4, 3, 3, 0, 3, 1, 1, 4, 3, 3, 4, 1, 4, 4, 1, 0, 3, 4, 3, 0, 4, 4, 2, 3, 4, 3, 1, 4, 3, 0, 3, 0, 0, 1, 1, 3, 4, 3, 0, 2, 4, 1, 4, 4] pubkeycol1752 = [4, 2, 0, 1, 0, 1, 4, 3, 1, 0, 3, 1, 3, 1, 3, 4, 3, 4, 0, 2, 3, 2, 3, 4, 2, 1, 4, 1, 1, 1, 4, 1, 2, 4, 3, 0, 3, 4, 3, 4, 0, 0, 0, 0, 3, 0, 3, 4, 4, 3, 3, 4, 3, 0, 1, 2, 4, 2, 3, 1, 2, 4, 0, 2, 2, 3, 0, 4, 2, 4, 2, 0, 0, 3, 2, 4, 3, 1, 0, 3, 0, 0, 2, 2, 2, 1, 2, 4, 3, 4, 3, 1, 1, 0, 2, 0, 0, 1, 3, 2, 1, 3, 4, 0, 1, 2, 0, 0, 2, 1, 4, 1, 1, 3, 0, 2, 0, 3, 4, 2, 2, 1, 3, 1, 0, 0, 2, 4, 2, 0, 2, 4, 3, 3, 0, 0, 2, 0, 4, 0, 4, 4, 3, 4, 0, 1, 4, 0, 4, 3, 1, 1, 1, 2, 3, 3, 1, 0, 4, 4, 0, 2, 4, 0, 2, 2, 3, 4, 1, 1, 4, 0, 4, 0, 0, 0, 3, 2, 2, 4, 4, 3, 0, 4, 2, 2, 4, 3, 0, 1, 3, 0, 1, 1, 1, 3, 1, 4, 2, 3, 3, 2, 0, 0, 1, 0, 3, 1, 1, 4, 2, 2, 2, 3, 0, 1, 4, 0, 2, 3, 1, 4, 0, 1, 1, 0, 0, 3, 3, 4, 3, 1, 4, 1, 0, 1, 1, 3, 3, 4, 1, 3, 3, 1, 3, 2, 1, 1, 3, 4, 3, 0, 0, 4, 4, 4, 2, 0, 3, 4, 3, 4, 0, 0, 3, 2, 1, 4, 4, 1, 2, 4, 2, 3, 2, 3, 1, 2, 1, 2, 3, 4, 4, 2, 4, 1, 2, 1, 0, 3, 4, 0, 4, 2, 2, 1, 3, 0, 1, 3, 4, 3, 4, 2, 2, 3, 0, 2, 0, 4, 0, 4, 3, 2, 2, 2, 1, 0, 4, 4, 3, 0, 1, 4, 4, 0, 2, 0, 1, 0, 1, 3, 1, 4, 2, 3, 3, 4, 4, 2, 1, 2, 2, 0, 3, 0, 0, 0, 1, 1, 1, 1, 3, 3, 2, 2, 0, 0, 0, 3, 4, 4, 2, 2, 2, 1, 4, 0, 0, 1, 0, 1, 4, 2, 1, 2, 0, 1, 0, 4, 2, 0, 2, 2, 3, 4, 4, 4, 3, 1, 2, 3, 2, 0, 3, 4, 3, 0, 1, 2] pubkeycol1753 = [1, 1, 3, 2, 3, 2, 0, 4, 1, 2, 1, 4, 1, 4, 1, 4, 4, 0, 0, 3, 1, 0, 4, 3, 0, 3, 1, 0, 3, 3, 1, 4, 1, 2, 2, 3, 3, 2, 3, 2, 1, 3, 0, 4, 3, 4, 0, 3, 0, 0, 2, 4, 2, 3, 1, 4, 4, 4, 2, 4, 1, 1, 0, 1, 3, 0, 4, 2, 4, 0, 2, 3, 2, 3, 2, 3, 3, 4, 4, 1, 3, 2, 3, 1, 2, 0, 2, 4, 2, 2, 4, 1, 4, 2, 3, 1, 0, 0, 0, 0, 4, 3, 2, 3, 1, 3, 3, 3, 2, 2, 4, 3, 4, 4, 0, 2, 0, 0, 1, 3, 4, 4, 2, 1, 1, 0, 1, 4, 0, 0, 0, 4, 3, 2, 1, 2, 1, 0, 4, 4, 0, 2, 1, 3, 1, 2, 4, 3, 2, 3, 1, 3, 0, 2, 3, 0, 2, 0, 2, 1, 1, 3, 3, 3, 0, 1, 3, 3, 1, 3, 4, 1, 1, 0, 0, 1, 4, 4, 2, 0, 2, 4, 2, 3, 2, 1, 0, 0, 3, 4, 3, 2, 4, 0, 2, 1, 1, 0, 4, 0, 2, 3, 2, 4, 4, 4, 0, 2, 1, 3, 3, 3, 0, 3, 0, 0, 1, 3, 3, 0, 1, 3, 0, 1, 0, 0, 1, 3, 0, 0, 2, 0, 1, 3, 4, 3, 0, 3, 3, 4, 2, 1, 1, 3, 1, 4, 2, 0, 4, 3, 1, 2, 0, 1, 0, 1, 1, 2, 4, 2, 3, 3, 0, 1, 1, 3, 3, 4, 4, 4, 1, 3, 2, 1, 1, 4, 4, 1, 4, 4, 0, 2, 0, 4, 2, 3, 4, 1, 2, 1, 2, 4, 4, 0, 2, 3, 2, 2, 3, 0, 2, 0, 1, 4, 2, 4, 1, 1, 4, 1, 3, 4, 0, 2, 0, 2, 3, 2, 1, 2, 0, 4, 3, 4, 1, 1, 2, 2, 2, 0, 4, 1, 0, 2, 4, 0, 0, 0, 0, 4, 2, 0, 3, 2, 3, 2, 1, 1, 0, 2, 0, 3, 2, 1, 0, 3, 0, 2, 1, 1, 3, 2, 2, 0, 4, 2, 0, 2, 3, 2, 2, 0, 4, 0, 0, 4, 3, 4, 3, 4, 1, 4, 1, 1, 1, 1, 2, 0, 4, 3, 0, 4, 3, 1, 0, 4, 1, 1, 1, 3] pubkeycol1754 = [3, 2, 1, 1, 2, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 0, 3, 2, 0, 4, 1, 0, 3, 4, 0, 4, 4, 3, 4, 3, 1, 1, 0, 3, 2, 1, 4, 2, 4, 4, 1, 3, 3, 3, 0, 2, 4, 2, 3, 1, 4, 2, 3, 2, 1, 3, 3, 4, 2, 4, 2, 4, 4, 0, 0, 1, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0, 1, 4, 3, 3, 1, 2, 0, 0, 4, 4, 1, 2, 0, 1, 1, 3, 0, 0, 1, 0, 2, 1, 3, 3, 0, 4, 2, 4, 0, 0, 1, 0, 0, 2, 4, 4, 3, 0, 4, 1, 2, 4, 1, 0, 2, 1, 4, 2, 0, 2, 3, 4, 4, 4, 1, 4, 2, 4, 3, 3, 4, 0, 2, 2, 1, 0, 3, 0, 0, 1, 0, 4, 1, 4, 3, 4, 3, 4, 4, 3, 0, 4, 1, 0, 2, 4, 2, 3, 2, 4, 4, 2, 3, 4, 4, 4, 0, 4, 0, 4, 1, 1, 1, 0, 0, 0, 1, 3, 3, 4, 2, 3, 2, 3, 2, 1, 4, 2, 4, 3, 2, 3, 1, 4, 4, 4, 1, 0, 2, 1, 1, 2, 3, 2, 4, 0, 2, 2, 3, 2, 1, 2, 2, 0, 3, 4, 2, 3, 4, 1, 0, 2, 2, 3, 3, 1, 0, 1, 4, 4, 2, 4, 0, 3, 0, 2, 2, 4, 2, 4, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 4, 0, 4, 3, 2, 4, 0, 3, 4, 1, 4, 4, 3, 2, 3, 3, 0, 2, 0, 3, 3, 2, 4, 3, 3, 0, 1, 1, 2, 0, 2, 4, 4, 2, 3, 2, 3, 3, 2, 0, 3, 0, 4, 1, 2, 3, 3, 0, 4, 0, 4, 1, 4, 0, 3, 1, 1, 4, 3, 3, 3, 2, 4, 3, 3, 2, 2, 0, 2, 3, 0, 3, 4, 2, 2, 2, 1, 3, 2, 1, 3, 0, 2, 4, 3, 2, 1, 3, 1, 2, 4, 3, 4, 1, 4, 2, 2, 0, 0, 1, 0, 1, 4, 4, 3, 1, 0, 4, 1, 0, 2, 4, 2, 0, 4, 2, 2, 0, 4, 4, 1, 3, 2, 0, 0, 4, 2, 0, 4, 3, 0, 4, 2, 3, 2, 1, 3, 2, 1, 2, 2, 0, 0] pubkeycol1755 = [4, 3, 3, 1, 4, 4, 2, 1, 0, 0, 2, 1, 2, 0, 3, 0, 1, 2, 2, 0, 3, 1, 2, 0, 2, 1, 0, 4, 1, 4, 3, 0, 2, 0, 2, 2, 1, 1, 4, 2, 0, 3, 2, 2, 3, 2, 4, 1, 4, 4, 3, 4, 3, 0, 4, 0, 2, 1, 2, 1, 2, 4, 3, 1, 3, 1, 1, 3, 3, 0, 3, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 3, 4, 0, 0, 0, 4, 4, 4, 4, 4, 3, 2, 4, 0, 3, 3, 3, 2, 1, 1, 1, 2, 1, 2, 0, 1, 4, 4, 2, 1, 3, 2, 3, 0, 2, 3, 3, 3, 1, 2, 2, 0, 0, 0, 2, 3, 1, 4, 1, 4, 4, 1, 1, 0, 4, 3, 4, 3, 1, 3, 1, 0, 1, 3, 0, 2, 1, 4, 2, 1, 1, 3, 3, 2, 0, 4, 1, 0, 4, 1, 4, 3, 3, 2, 1, 0, 1, 4, 3, 3, 2, 0, 3, 4, 0, 3, 2, 4, 0, 2, 2, 1, 2, 4, 2, 1, 0, 2, 3, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 3, 4, 3, 3, 3, 2, 3, 0, 1, 2, 4, 4, 1, 2, 4, 1, 2, 0, 2, 0, 1, 0, 1, 3, 2, 2, 2, 3, 4, 0, 2, 1, 3, 1, 0, 4, 2, 2, 2, 0, 4, 0, 3, 3, 1, 2, 3, 3, 0, 3, 4, 3, 1, 1, 4, 1, 1, 1, 4, 4, 2, 2, 3, 0, 3, 0, 3, 2, 4, 4, 1, 0, 3, 1, 2, 4, 1, 2, 1, 1, 0, 3, 4, 3, 2, 2, 3, 3, 3, 0, 0, 0, 3, 4, 1, 3, 3, 2, 3, 2, 0, 4, 4, 2, 1, 2, 4, 4, 1, 2, 4, 4, 3, 2, 3, 3, 3, 1, 0, 1, 1, 2, 2, 4, 0, 2, 1, 0, 4, 1, 3, 1, 2, 2, 3, 0, 0, 0, 2, 4, 1, 1, 1, 1, 0, 0, 3, 1, 4, 0, 1, 4, 4, 3, 0, 2, 4, 2, 0, 4, 1, 0, 1, 2, 4, 1, 3, 0, 2, 4, 0, 0, 2, 4, 4, 2, 4, 1, 0, 3, 0, 0, 2, 3, 0, 0, 2, 1, 3, 0, 3, 0, 3, 0, 4, 2] pubkeycol1756 = [4, 4, 2, 1, 4, 0, 1, 2, 1, 2, 4, 3, 1, 4, 2, 3, 1, 0, 2, 4, 3, 0, 3, 1, 1, 1, 3, 0, 1, 4, 4, 4, 2, 0, 0, 1, 0, 4, 4, 3, 0, 4, 2, 3, 2, 3, 1, 3, 1, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 4, 3, 3, 4, 4, 4, 0, 1, 1, 2, 1, 3, 4, 4, 4, 2, 4, 1, 2, 2, 2, 0, 3, 0, 0, 3, 1, 0, 0, 0, 4, 0, 0, 0, 3, 0, 4, 3, 3, 2, 1, 3, 0, 1, 1, 4, 3, 0, 2, 2, 1, 4, 3, 4, 2, 3, 1, 3, 2, 0, 4, 2, 4, 4, 2, 0, 3, 1, 1, 3, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 4, 0, 0, 2, 3, 2, 3, 3, 4, 4, 0, 4, 1, 4, 4, 1, 4, 4, 1, 3, 3, 0, 0, 1, 0, 0, 3, 1, 2, 0, 4, 1, 3, 4, 0, 3, 2, 4, 2, 0, 2, 2, 4, 1, 3, 3, 4, 2, 0, 4, 0, 2, 2, 1, 3, 0, 2, 3, 0, 4, 0, 1, 2, 1, 1, 0, 3, 3, 1, 2, 0, 4, 3, 3, 4, 0, 4, 0, 0, 1, 0, 1, 3, 4, 2, 0, 4, 1, 0, 0, 3, 2, 4, 2, 1, 0, 1, 1, 1, 4, 3, 3, 0, 1, 0, 1, 0, 1, 2, 4, 4, 1, 1, 3, 2, 4, 2, 2, 3, 2, 2, 3, 0, 0, 4, 1, 4, 3, 4, 4, 2, 1, 4, 3, 3, 3, 4, 2, 0, 3, 3, 4, 1, 0, 0, 4, 4, 3, 4, 4, 1, 0, 0, 3, 3, 2, 1, 0, 0, 1, 4, 4, 4, 0, 0, 0, 4, 4, 2, 1, 3, 1, 1, 1, 2, 0, 3, 1, 4, 2, 0, 4, 0, 2, 3, 3, 3, 3, 2, 0, 3, 0, 0, 0, 2, 0, 2, 4, 4, 0, 3, 0, 1, 3, 1, 3, 3, 2, 1, 2, 0, 1, 1, 4, 4, 2, 3, 0, 4, 1, 1, 3, 4, 2, 3, 3, 2, 0, 0, 0, 4, 3, 0, 3, 3, 1, 1, 0, 4, 0, 1, 0, 1, 2, 0, 2, 0, 1, 3, 0, 4, 4, 0, 2, 3, 4, 3] pubkeycol1757 = [4, 0, 2, 4, 3, 4, 4, 2, 1, 0, 3, 2, 3, 3, 0, 3, 2, 3, 3, 1, 2, 2, 4, 4, 4, 4, 4, 0, 3, 1, 4, 1, 3, 3, 4, 4, 0, 0, 2, 1, 0, 4, 0, 3, 2, 3, 2, 0, 2, 2, 3, 0, 0, 3, 3, 2, 0, 1, 4, 0, 3, 2, 1, 1, 1, 4, 2, 2, 1, 0, 1, 2, 3, 1, 2, 1, 1, 2, 4, 1, 0, 3, 1, 1, 3, 3, 4, 0, 4, 1, 2, 4, 4, 0, 0, 3, 1, 0, 4, 1, 4, 1, 2, 2, 1, 1, 0, 0, 0, 2, 4, 3, 0, 3, 0, 4, 1, 3, 4, 3, 1, 0, 3, 2, 3, 1, 4, 2, 2, 2, 1, 2, 0, 4, 2, 1, 3, 1, 0, 3, 2, 3, 2, 3, 3, 0, 0, 0, 2, 3, 1, 0, 0, 2, 3, 4, 0, 0, 4, 2, 4, 3, 3, 2, 2, 2, 3, 2, 0, 4, 4, 0, 3, 3, 3, 4, 2, 3, 1, 0, 3, 0, 0, 4, 3, 2, 4, 1, 4, 1, 0, 1, 0, 0, 0, 4, 4, 4, 3, 3, 3, 0, 1, 4, 2, 0, 0, 0, 3, 4, 4, 4, 1, 0, 1, 3, 4, 0, 3, 0, 1, 1, 4, 4, 4, 0, 2, 1, 4, 1, 4, 2, 4, 1, 0, 0, 1, 0, 4, 0, 3, 2, 4, 4, 0, 2, 3, 1, 0, 4, 3, 1, 4, 4, 3, 4, 3, 4, 0, 1, 2, 0, 1, 0, 4, 3, 4, 2, 3, 0, 4, 0, 1, 2, 3, 1, 2, 2, 3, 1, 1, 0, 1, 3, 1, 2, 0, 2, 0, 2, 2, 4, 0, 4, 4, 1, 3, 2, 2, 2, 0, 3, 1, 3, 4, 0, 2, 3, 0, 3, 1, 4, 1, 2, 2, 1, 2, 2, 2, 2, 2, 4, 0, 4, 3, 4, 0, 4, 3, 0, 1, 4, 3, 3, 1, 4, 4, 0, 2, 4, 1, 1, 2, 0, 4, 4, 3, 0, 1, 2, 4, 0, 2, 4, 3, 2, 2, 4, 0, 4, 3, 2, 4, 1, 0, 4, 4, 3, 2, 2, 3, 0, 3, 3, 2, 2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 3, 1, 0, 2, 3, 3, 4, 4, 2] pubkeycol1758 = [3, 0, 2, 1, 0, 1, 1, 1, 1, 4, 2, 0, 4, 4, 2, 4, 2, 2, 1, 2, 1, 1, 2, 1, 3, 0, 4, 3, 4, 2, 2, 2, 1, 2, 2, 4, 4, 1, 3, 1, 2, 4, 1, 1, 1, 0, 0, 2, 3, 4, 2, 0, 3, 2, 4, 3, 2, 3, 3, 2, 4, 0, 3, 1, 0, 0, 3, 3, 0, 2, 3, 3, 3, 3, 0, 2, 2, 0, 4, 3, 2, 3, 4, 2, 0, 3, 4, 2, 0, 0, 0, 3, 3, 0, 1, 0, 0, 4, 2, 0, 3, 1, 2, 0, 2, 0, 0, 2, 3, 0, 0, 3, 0, 0, 3, 4, 0, 1, 4, 0, 2, 2, 1, 3, 1, 3, 4, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 3, 4, 4, 4, 2, 3, 4, 0, 2, 1, 3, 3, 1, 4, 2, 4, 4, 4, 2, 0, 0, 3, 3, 2, 4, 3, 3, 4, 0, 2, 1, 1, 0, 0, 0, 3, 0, 3, 4, 0, 3, 2, 2, 0, 3, 0, 0, 2, 0, 3, 3, 1, 4, 4, 0, 3, 2, 0, 2, 3, 0, 0, 3, 0, 2, 1, 0, 1, 0, 2, 2, 4, 1, 4, 3, 0, 4, 0, 1, 4, 3, 2, 2, 1, 4, 4, 1, 4, 0, 3, 3, 4, 3, 2, 1, 0, 0, 4, 1, 3, 2, 4, 1, 0, 3, 3, 2, 0, 4, 0, 2, 3, 3, 4, 3, 4, 4, 1, 1, 3, 2, 3, 1, 0, 1, 0, 3, 2, 2, 2, 1, 3, 2, 2, 2, 4, 0, 1, 3, 0, 1, 0, 4, 0, 0, 2, 3, 4, 0, 1, 1, 0, 3, 2, 3, 4, 2, 4, 3, 3, 1, 2, 1, 1, 3, 0, 1, 0, 2, 2, 4, 1, 3, 2, 0, 2, 4, 2, 1, 2, 4, 3, 0, 4, 3, 1, 0, 3, 4, 2, 2, 3, 0, 4, 0, 0, 0, 1, 1, 0, 2, 3, 1, 0, 1, 0, 3, 3, 1, 0, 4, 3, 1, 0, 0, 4, 4, 4, 2, 1, 2, 0, 3, 2, 2, 2, 2, 4, 2, 1, 1, 3, 0, 3, 0, 4, 1, 0, 1, 2, 0, 0, 0, 0, 2, 3, 0, 4, 0, 3, 2, 3, 2, 0, 4, 4, 3, 4] pubkeycol1759 = [0, 1, 1, 2, 1, 2, 3, 1, 2, 0, 4, 2, 2, 2, 3, 2, 3, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 3, 4, 1, 3, 0, 0, 1, 3, 3, 0, 0, 2, 1, 4, 3, 3, 4, 2, 3, 4, 0, 0, 1, 0, 3, 2, 0, 4, 0, 2, 3, 2, 4, 0, 0, 0, 4, 0, 2, 4, 1, 4, 2, 0, 2, 1, 3, 0, 0, 2, 2, 3, 3, 0, 4, 2, 2, 0, 1, 1, 1, 0, 2, 0, 4, 0, 0, 3, 4, 0, 0, 4, 3, 2, 1, 4, 0, 1, 0, 0, 1, 4, 2, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 3, 0, 4, 2, 3, 1, 1, 3, 3, 2, 4, 1, 1, 4, 4, 2, 2, 1, 2, 1, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 0, 1, 2, 0, 3, 4, 3, 2, 4, 2, 4, 0, 4, 2, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 0, 0, 1, 4, 3, 0, 0, 4, 1, 0, 2, 2, 4, 3, 1, 2, 3, 4, 4, 2, 0, 4, 0, 2, 1, 3, 0, 3, 1, 2, 2, 0, 3, 4, 1, 2, 2, 0, 4, 2, 2, 2, 2, 2, 1, 2, 4, 1, 2, 2, 3, 2, 3, 1, 2, 3, 1, 4, 2, 0, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 4, 2, 1, 0, 4, 4, 0, 3, 4, 1, 0, 1, 3, 3, 0, 4, 4, 0, 1, 2, 0, 4, 3, 4, 0, 2, 3, 4, 2, 1, 0, 3, 0, 0, 2, 3, 0, 2, 4, 2, 1, 4, 1, 4, 3, 4, 0, 3, 1, 1, 0, 1, 0, 2, 0, 3, 2, 2, 3, 2, 1, 2, 0, 0, 4, 1, 1, 1, 3, 1, 4, 3, 4, 1, 2, 2, 4, 1, 1, 1, 4, 1, 2, 4, 4, 3, 2, 0, 2, 4, 1, 4, 2, 3, 2, 1, 1, 0, 3, 1, 1, 4, 4, 1, 3, 4, 2, 1, 4, 2, 0, 1, 1, 0, 0, 4, 4, 0, 0, 0, 1, 0, 3, 2, 2, 2, 0, 4, 0, 1, 3, 0, 4, 2, 4, 3, 4, 1, 3, 3, 1, 2, 4, 0, 1, 0, 3] pubkeycol1760 = [0, 4, 3, 2, 4, 3, 0, 1, 0, 3, 1, 0, 1, 4, 3, 2, 1, 0, 3, 3, 3, 4, 0, 3, 1, 3, 4, 1, 0, 4, 4, 2, 1, 2, 2, 4, 0, 2, 4, 0, 0, 4, 2, 1, 3, 4, 0, 4, 2, 4, 2, 3, 3, 2, 2, 1, 2, 4, 3, 3, 3, 3, 0, 1, 1, 4, 4, 2, 2, 1, 4, 4, 3, 0, 2, 1, 3, 4, 3, 1, 0, 2, 1, 1, 4, 2, 1, 2, 0, 3, 4, 4, 1, 2, 2, 4, 4, 0, 0, 2, 3, 2, 3, 4, 1, 3, 0, 2, 4, 1, 2, 2, 3, 2, 0, 4, 1, 0, 1, 2, 4, 4, 4, 1, 2, 3, 4, 4, 3, 4, 1, 0, 1, 3, 0, 0, 4, 2, 4, 4, 2, 3, 0, 1, 4, 3, 0, 1, 4, 4, 3, 0, 1, 2, 0, 1, 0, 4, 3, 1, 2, 2, 3, 2, 1, 0, 4, 0, 2, 0, 2, 2, 2, 4, 0, 0, 0, 4, 2, 1, 4, 0, 2, 4, 4, 1, 0, 2, 2, 0, 4, 4, 3, 0, 1, 3, 0, 1, 0, 0, 1, 2, 1, 4, 0, 4, 1, 2, 3, 4, 2, 4, 1, 0, 4, 2, 3, 1, 3, 3, 0, 4, 4, 2, 0, 4, 1, 2, 4, 1, 2, 3, 4, 3, 1, 0, 3, 3, 4, 0, 3, 1, 4, 1, 4, 2, 4, 3, 4, 1, 4, 4, 0, 2, 4, 0, 0, 1, 4, 4, 1, 4, 0, 1, 3, 4, 2, 1, 0, 3, 1, 0, 4, 4, 3, 1, 0, 4, 4, 1, 3, 3, 4, 0, 0, 3, 1, 2, 1, 0, 1, 3, 0, 4, 3, 1, 1, 2, 2, 4, 1, 2, 1, 4, 2, 3, 4, 3, 4, 1, 1, 2, 4, 4, 0, 3, 0, 4, 3, 0, 0, 4, 0, 2, 0, 3, 3, 4, 0, 0, 1, 4, 3, 4, 4, 2, 4, 1, 3, 0, 0, 4, 4, 2, 4, 4, 2, 3, 4, 3, 0, 4, 3, 0, 0, 0, 4, 3, 4, 3, 4, 1, 1, 0, 1, 4, 3, 1, 3, 4, 2, 0, 1, 2, 3, 3, 0, 0, 3, 0, 4, 0, 2, 3, 1, 4, 0, 3, 1, 0, 4, 3, 2, 0, 0, 0, 4, 3, 3, 1] pubkeycol1761 = [4, 2, 2, 4, 0, 0, 1, 0, 2, 4, 0, 2, 2, 1, 3, 3, 0, 3, 0, 0, 0, 0, 3, 4, 0, 1, 3, 2, 3, 1, 3, 0, 1, 1, 4, 4, 4, 2, 3, 1, 4, 1, 1, 1, 1, 0, 4, 1, 3, 1, 2, 1, 4, 4, 4, 4, 2, 3, 2, 4, 1, 3, 3, 1, 1, 1, 4, 0, 1, 3, 2, 3, 2, 4, 1, 4, 0, 4, 3, 4, 2, 3, 4, 0, 2, 3, 4, 4, 2, 3, 0, 1, 3, 4, 0, 2, 1, 1, 4, 0, 2, 4, 4, 2, 0, 0, 1, 1, 0, 4, 2, 3, 0, 2, 1, 2, 2, 0, 1, 2, 4, 1, 3, 3, 1, 0, 2, 0, 1, 4, 4, 2, 0, 0, 0, 0, 0, 1, 4, 2, 0, 0, 0, 2, 2, 1, 3, 1, 0, 3, 1, 0, 0, 3, 2, 2, 3, 0, 3, 2, 2, 1, 4, 2, 1, 3, 0, 4, 0, 4, 3, 4, 0, 2, 1, 1, 1, 0, 4, 0, 3, 4, 1, 0, 1, 1, 1, 4, 2, 2, 1, 0, 3, 4, 3, 2, 2, 4, 1, 1, 0, 1, 1, 4, 1, 4, 3, 1, 3, 0, 4, 0, 4, 1, 4, 1, 3, 3, 4, 4, 3, 4, 1, 4, 1, 2, 4, 2, 2, 1, 1, 1, 4, 2, 3, 4, 1, 3, 3, 2, 2, 2, 3, 4, 1, 4, 2, 0, 1, 0, 0, 0, 3, 3, 2, 0, 0, 1, 2, 1, 0, 3, 0, 3, 3, 3, 1, 1, 1, 2, 0, 4, 0, 4, 0, 2, 1, 0, 0, 1, 3, 4, 2, 2, 4, 3, 2, 2, 4, 0, 1, 3, 2, 4, 2, 4, 3, 3, 0, 2, 4, 2, 3, 4, 2, 3, 3, 4, 0, 2, 3, 3, 3, 3, 3, 1, 4, 1, 3, 4, 1, 4, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 3, 0, 4, 0, 3, 4, 3, 3, 2, 0, 3, 2, 4, 2, 0, 2, 3, 1, 3, 4, 0, 2, 4, 2, 1, 2, 1, 4, 2, 2, 3, 2, 0, 2, 0, 3, 0, 0, 2, 2, 0, 0, 0, 3, 1, 0, 2, 4, 2, 2, 4, 2, 4, 1, 2, 2, 2, 2, 4, 3, 0, 0, 0, 0] pubkeycol1762 = [0, 2, 0, 3, 2, 3, 0, 0, 0, 3, 1, 3, 3, 4, 4, 0, 0, 0, 1, 1, 3, 1, 2, 2, 4, 4, 4, 2, 2, 3, 1, 1, 2, 1, 0, 4, 3, 3, 3, 2, 4, 2, 4, 0, 4, 3, 2, 1, 4, 0, 0, 3, 4, 2, 0, 0, 2, 4, 3, 2, 0, 1, 2, 0, 4, 2, 0, 3, 2, 2, 0, 1, 4, 3, 0, 4, 0, 3, 4, 4, 1, 3, 3, 4, 4, 2, 1, 3, 2, 3, 3, 2, 2, 0, 1, 3, 1, 1, 4, 4, 2, 2, 3, 2, 1, 4, 4, 2, 0, 2, 3, 0, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 4, 3, 2, 2, 4, 3, 1, 4, 4, 1, 0, 4, 1, 2, 3, 4, 2, 4, 0, 2, 4, 3, 3, 4, 1, 3, 4, 1, 3, 3, 2, 4, 3, 3, 3, 2, 4, 2, 1, 2, 2, 0, 4, 2, 1, 4, 3, 0, 2, 4, 3, 0, 0, 4, 0, 1, 3, 4, 0, 0, 0, 4, 0, 4, 1, 4, 2, 3, 2, 3, 1, 3, 2, 2, 4, 2, 0, 1, 3, 1, 1, 2, 4, 0, 4, 4, 0, 2, 1, 1, 0, 4, 0, 0, 0, 0, 2, 0, 1, 3, 0, 4, 2, 0, 4, 4, 0, 0, 4, 3, 2, 1, 2, 4, 3, 4, 2, 3, 4, 4, 1, 1, 1, 0, 0, 2, 1, 4, 0, 3, 2, 4, 2, 3, 2, 0, 3, 4, 2, 4, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 3, 2, 3, 1, 2, 1, 1, 4, 3, 4, 4, 1, 4, 1, 1, 4, 3, 3, 3, 4, 4, 4, 1, 1, 1, 0, 1, 3, 0, 3, 3, 1, 0, 3, 3, 1, 3, 1, 0, 3, 4, 0, 4, 2, 4, 1, 2, 2, 2, 4, 3, 4, 2, 0, 1, 1, 0, 1, 0, 3, 1, 4, 4, 0, 4, 0, 1, 0, 0, 0, 3, 1, 2, 3, 2, 4, 2, 2, 0, 4, 2, 1, 0, 2, 1, 1, 1, 2, 4, 4, 3, 3, 2, 2, 0, 4, 2, 4, 4, 4, 0, 3, 3, 0, 3, 4, 1, 3, 3, 3, 3, 1, 0, 0, 1, 1, 1, 4, 1, 2, 3, 3, 3, 3, 4, 2] pubkeycol1763 = [4, 2, 3, 4, 1, 4, 0, 1, 0, 0, 4, 1, 0, 2, 4, 1, 4, 1, 4, 2, 1, 3, 3, 1, 1, 3, 0, 0, 2, 0, 1, 3, 1, 3, 1, 0, 1, 4, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 0, 0, 1, 4, 4, 3, 0, 0, 3, 4, 0, 3, 0, 3, 4, 0, 1, 0, 1, 1, 3, 2, 2, 0, 3, 1, 1, 3, 4, 3, 2, 3, 0, 3, 3, 3, 2, 2, 2, 1, 0, 2, 4, 4, 1, 2, 1, 1, 4, 1, 2, 0, 3, 3, 4, 4, 1, 0, 4, 2, 2, 2, 2, 3, 4, 1, 4, 3, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 3, 2, 1, 4, 1, 1, 2, 4, 0, 1, 1, 1, 2, 3, 0, 3, 3, 3, 0, 1, 4, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 4, 3, 3, 3, 2, 3, 0, 2, 2, 4, 4, 2, 4, 4, 3, 4, 0, 0, 3, 2, 2, 2, 0, 3, 4, 4, 2, 2, 1, 4, 3, 4, 0, 4, 4, 3, 0, 1, 1, 4, 3, 3, 2, 1, 0, 4, 2, 0, 4, 0, 1, 0, 1, 0, 4, 2, 3, 2, 0, 4, 0, 3, 1, 1, 4, 4, 1, 2, 3, 1, 4, 4, 4, 4, 0, 2, 3, 2, 0, 4, 2, 2, 4, 0, 2, 0, 3, 4, 2, 2, 2, 2, 1, 1, 4, 0, 1, 0, 2, 3, 2, 1, 4, 4, 1, 2, 0, 3, 1, 1, 0, 3, 3, 3, 1, 4, 2, 4, 3, 3, 2, 2, 4, 4, 0, 4, 1, 4, 3, 1, 3, 3, 2, 1, 2, 2, 1, 4, 1, 1, 4, 4, 3, 4, 0, 0, 0, 3, 2, 0, 2, 4, 0, 4, 2, 3, 0, 4, 1, 3, 4, 4, 2, 4, 1, 1, 0, 1, 2, 1, 0, 4, 4, 0, 3, 3, 0, 4, 2, 4, 1, 0, 4, 3, 0, 0, 1, 4, 0, 3, 3, 0, 2, 2, 0, 2, 3, 0, 1, 2, 0, 4, 1, 1, 3, 0, 4, 2, 4, 2, 1, 3, 2, 4, 0, 2, 3, 0, 2, 0, 1, 0, 2, 3, 2, 1, 1, 4, 3, 2, 4, 1, 1, 3, 4] pubkeycol1764 = [4, 3, 3, 2, 4, 2, 4, 4, 1, 1, 4, 1, 0, 2, 4, 4, 4, 0, 2, 4, 4, 2, 4, 2, 4, 4, 2, 3, 4, 3, 2, 3, 2, 0, 3, 1, 3, 3, 0, 0, 2, 2, 1, 3, 2, 1, 4, 3, 0, 2, 3, 1, 1, 4, 2, 1, 0, 1, 1, 2, 2, 2, 1, 4, 2, 1, 0, 1, 4, 4, 4, 3, 1, 4, 1, 1, 4, 3, 3, 2, 4, 2, 4, 4, 1, 2, 1, 4, 4, 2, 2, 1, 3, 2, 2, 1, 0, 2, 3, 3, 2, 1, 4, 0, 0, 0, 3, 4, 2, 2, 4, 2, 0, 2, 0, 3, 2, 4, 4, 3, 0, 3, 1, 3, 0, 2, 4, 4, 2, 2, 3, 4, 3, 2, 4, 2, 0, 4, 2, 3, 3, 0, 1, 3, 3, 3, 0, 1, 4, 4, 4, 0, 4, 0, 1, 2, 1, 4, 3, 2, 1, 4, 2, 0, 1, 2, 0, 0, 3, 2, 0, 0, 0, 4, 1, 1, 4, 4, 1, 1, 2, 0, 1, 3, 0, 2, 1, 0, 4, 3, 1, 1, 3, 3, 4, 4, 1, 1, 0, 1, 0, 0, 3, 3, 3, 0, 2, 3, 4, 2, 4, 0, 3, 1, 4, 3, 1, 0, 4, 0, 1, 3, 3, 3, 0, 2, 1, 3, 1, 0, 3, 2, 0, 0, 1, 0, 4, 3, 0, 0, 1, 3, 0, 4, 0, 3, 3, 2, 3, 2, 4, 1, 1, 1, 3, 3, 0, 0, 1, 1, 0, 3, 1, 0, 3, 2, 2, 1, 2, 3, 2, 4, 0, 0, 2, 3, 1, 0, 2, 2, 0, 4, 1, 4, 3, 0, 2, 3, 2, 1, 3, 3, 4, 4, 0, 3, 2, 1, 4, 3, 2, 2, 1, 4, 2, 1, 3, 1, 3, 4, 1, 0, 2, 3, 2, 3, 4, 0, 0, 3, 2, 1, 1, 0, 3, 2, 4, 3, 1, 0, 3, 0, 2, 0, 3, 1, 2, 1, 2, 0, 3, 0, 1, 1, 2, 4, 0, 1, 1, 1, 2, 1, 3, 3, 0, 0, 3, 4, 4, 3, 4, 2, 1, 0, 2, 4, 0, 1, 3, 3, 4, 0, 0, 2, 2, 1, 0, 4, 2, 4, 3, 0, 2, 3, 3, 1, 3, 4, 1, 4, 3, 0, 2, 0, 0, 2, 1, 4, 2, 2] pubkeycol1765 = [4, 0, 3, 2, 2, 3, 2, 3, 1, 0, 2, 3, 0, 3, 4, 3, 0, 2, 4, 2, 1, 2, 4, 1, 1, 3, 2, 4, 0, 1, 2, 1, 2, 4, 4, 3, 4, 1, 1, 3, 3, 0, 1, 4, 0, 3, 2, 2, 4, 3, 1, 3, 0, 4, 2, 3, 0, 1, 0, 3, 3, 4, 3, 1, 0, 4, 2, 2, 0, 1, 2, 4, 2, 0, 0, 3, 1, 4, 1, 1, 1, 0, 2, 3, 4, 2, 2, 2, 2, 2, 3, 4, 0, 0, 1, 3, 4, 1, 1, 0, 3, 3, 3, 0, 4, 1, 3, 0, 3, 3, 2, 0, 3, 0, 4, 4, 0, 3, 1, 4, 0, 3, 4, 1, 1, 3, 2, 1, 4, 2, 2, 1, 0, 3, 2, 4, 0, 0, 4, 2, 1, 3, 3, 2, 1, 1, 3, 0, 1, 3, 2, 3, 1, 1, 4, 1, 3, 1, 1, 4, 1, 2, 4, 3, 1, 1, 2, 1, 2, 2, 4, 2, 1, 3, 3, 2, 4, 2, 4, 4, 0, 4, 4, 3, 2, 4, 3, 1, 0, 1, 4, 0, 0, 2, 3, 1, 2, 0, 4, 1, 3, 1, 2, 1, 2, 3, 4, 1, 0, 4, 1, 4, 2, 2, 0, 1, 0, 2, 3, 0, 3, 4, 1, 4, 4, 4, 2, 3, 4, 0, 4, 3, 3, 2, 2, 1, 4, 3, 1, 4, 4, 0, 1, 0, 1, 1, 4, 1, 0, 3, 0, 4, 4, 0, 1, 1, 0, 2, 1, 3, 1, 3, 1, 2, 3, 2, 3, 2, 0, 3, 4, 1, 4, 2, 1, 2, 1, 0, 3, 0, 4, 3, 0, 1, 3, 1, 1, 0, 4, 4, 4, 1, 1, 0, 3, 1, 1, 1, 1, 0, 4, 1, 1, 0, 2, 1, 1, 3, 4, 1, 1, 3, 4, 4, 3, 2, 1, 2, 1, 0, 3, 1, 3, 2, 0, 1, 2, 3, 0, 0, 1, 2, 0, 2, 1, 0, 1, 4, 4, 2, 0, 4, 1, 1, 0, 0, 1, 0, 2, 4, 2, 2, 0, 0, 3, 3, 3, 4, 3, 0, 2, 0, 3, 4, 2, 3, 3, 3, 0, 1, 2, 3, 4, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 4, 0, 0, 4, 3, 1, 0, 2, 1, 2, 1, 3, 0, 4, 0, 1, 0] pubkeycol1766 = [3, 1, 0, 2, 3, 3, 1, 0, 1, 1, 0, 2, 4, 1, 2, 1, 4, 0, 0, 2, 0, 2, 3, 4, 0, 4, 4, 2, 3, 2, 4, 3, 4, 4, 2, 4, 0, 4, 4, 0, 1, 3, 1, 2, 4, 4, 1, 0, 3, 2, 4, 4, 0, 1, 1, 0, 3, 1, 0, 1, 4, 1, 2, 4, 0, 4, 0, 3, 2, 4, 0, 2, 0, 2, 2, 4, 2, 0, 2, 1, 4, 4, 1, 2, 0, 0, 2, 3, 1, 0, 0, 2, 2, 0, 1, 0, 3, 1, 0, 4, 4, 4, 2, 4, 2, 2, 0, 0, 0, 4, 1, 0, 2, 4, 2, 3, 2, 3, 1, 4, 1, 1, 4, 2, 2, 4, 1, 2, 4, 3, 1, 1, 0, 1, 2, 2, 4, 2, 2, 4, 1, 2, 3, 3, 2, 1, 1, 2, 2, 1, 2, 3, 3, 0, 2, 2, 0, 4, 1, 1, 0, 4, 0, 0, 3, 3, 3, 0, 2, 0, 0, 1, 2, 4, 4, 1, 4, 3, 1, 3, 2, 0, 2, 3, 3, 0, 3, 4, 3, 1, 1, 1, 4, 1, 3, 3, 2, 3, 2, 0, 4, 3, 3, 1, 1, 3, 0, 4, 1, 0, 1, 2, 2, 3, 1, 1, 3, 3, 4, 4, 4, 3, 2, 3, 2, 3, 1, 1, 4, 4, 0, 1, 3, 2, 4, 2, 0, 4, 2, 0, 2, 0, 2, 1, 2, 2, 3, 1, 3, 4, 4, 1, 4, 1, 0, 2, 2, 0, 1, 4, 2, 1, 1, 2, 4, 0, 1, 3, 4, 4, 4, 1, 4, 2, 3, 4, 0, 3, 1, 4, 0, 2, 4, 1, 0, 3, 1, 2, 3, 3, 4, 4, 4, 0, 3, 0, 2, 3, 2, 1, 0, 2, 4, 1, 2, 3, 2, 0, 0, 0, 3, 4, 0, 0, 3, 0, 3, 4, 1, 1, 4, 4, 0, 1, 3, 3, 1, 4, 2, 3, 4, 3, 4, 0, 4, 3, 0, 3, 2, 0, 4, 2, 1, 4, 1, 1, 0, 2, 4, 0, 4, 4, 2, 1, 0, 4, 3, 3, 3, 4, 1, 3, 4, 0, 1, 0, 1, 3, 4, 2, 1, 3, 3, 2, 1, 2, 1, 3, 0, 4, 0, 1, 1, 3, 0, 1, 2, 1, 1, 3, 2, 1, 4, 3, 2, 1, 3, 1, 4, 2] pubkeycol1767 = [4, 2, 2, 3, 0, 1, 2, 1, 4, 2, 3, 2, 3, 1, 4, 3, 0, 4, 4, 4, 1, 3, 0, 4, 1, 0, 1, 3, 2, 2, 2, 2, 4, 3, 2, 3, 2, 3, 3, 4, 2, 3, 1, 4, 0, 3, 0, 0, 0, 0, 2, 0, 3, 4, 2, 1, 0, 1, 4, 0, 3, 2, 4, 1, 2, 3, 3, 1, 1, 1, 1, 4, 2, 4, 0, 2, 2, 0, 0, 4, 0, 1, 2, 2, 3, 0, 3, 4, 1, 4, 4, 4, 3, 0, 2, 0, 3, 2, 4, 3, 1, 4, 2, 1, 1, 4, 3, 2, 2, 2, 1, 1, 4, 2, 1, 2, 0, 3, 0, 0, 3, 4, 1, 2, 3, 2, 2, 3, 4, 2, 0, 1, 2, 3, 3, 1, 4, 1, 4, 2, 2, 2, 4, 4, 3, 2, 2, 4, 1, 3, 3, 4, 1, 3, 4, 0, 4, 3, 1, 0, 1, 4, 2, 3, 0, 4, 0, 0, 2, 1, 2, 4, 3, 4, 4, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 3, 2, 0, 0, 1, 0, 0, 0, 2, 3, 0, 2, 1, 1, 0, 4, 2, 3, 2, 1, 0, 0, 4, 1, 3, 0, 3, 1, 1, 4, 3, 1, 3, 0, 3, 3, 2, 2, 3, 2, 2, 4, 3, 1, 2, 4, 2, 1, 4, 2, 2, 0, 4, 3, 2, 4, 0, 4, 1, 2, 2, 4, 3, 2, 3, 1, 4, 2, 3, 4, 3, 2, 0, 1, 2, 3, 4, 3, 1, 4, 0, 3, 3, 4, 1, 2, 3, 2, 1, 4, 2, 1, 2, 1, 2, 4, 4, 1, 3, 1, 1, 3, 2, 1, 4, 3, 4, 2, 3, 2, 3, 2, 3, 2, 4, 1, 2, 2, 1, 1, 3, 1, 3, 4, 0, 0, 3, 3, 4, 1, 4, 4, 1, 2, 2, 4, 3, 1, 1, 0, 2, 1, 1, 3, 4, 4, 4, 1, 0, 0, 3, 3, 4, 2, 3, 1, 4, 1, 2, 2, 4, 0, 1, 3, 1, 1, 4, 3, 1, 1, 3, 1, 4, 0, 0, 3, 0, 4, 4, 2, 0, 1, 0, 0, 3, 3, 3, 3, 4, 2, 0, 4, 4, 3, 0, 4, 1, 2, 1, 4, 4, 4, 1, 3, 0, 1, 3, 3, 1, 3, 4, 3, 0, 4, 4] pubkeycol1768 = [0, 2, 3, 2, 0, 1, 2, 4, 3, 0, 0, 4, 1, 0, 0, 2, 0, 4, 3, 1, 2, 3, 0, 1, 4, 4, 2, 4, 3, 3, 4, 2, 0, 3, 1, 4, 4, 0, 1, 4, 0, 0, 4, 3, 4, 4, 3, 4, 0, 2, 3, 4, 0, 0, 2, 1, 4, 0, 4, 1, 3, 1, 4, 3, 0, 2, 1, 1, 4, 0, 4, 3, 3, 4, 4, 2, 4, 2, 1, 1, 3, 1, 1, 1, 4, 0, 0, 4, 1, 4, 0, 0, 1, 1, 3, 4, 1, 3, 0, 3, 2, 4, 4, 2, 1, 3, 1, 4, 0, 4, 1, 2, 0, 2, 4, 3, 4, 2, 3, 0, 2, 2, 3, 3, 0, 0, 1, 1, 0, 2, 3, 0, 2, 0, 0, 4, 4, 0, 3, 4, 3, 3, 0, 4, 1, 0, 1, 0, 2, 2, 0, 0, 0, 3, 3, 1, 4, 2, 3, 3, 2, 1, 4, 0, 4, 0, 4, 4, 3, 2, 0, 3, 4, 0, 4, 2, 1, 2, 4, 2, 1, 3, 0, 1, 0, 2, 2, 2, 3, 3, 2, 1, 3, 1, 0, 1, 2, 0, 3, 0, 4, 2, 2, 1, 4, 2, 2, 0, 0, 2, 2, 0, 1, 0, 3, 3, 1, 2, 0, 4, 1, 2, 3, 3, 3, 3, 4, 4, 0, 2, 1, 4, 1, 4, 2, 4, 0, 0, 4, 3, 2, 2, 3, 1, 4, 3, 3, 3, 3, 2, 0, 4, 1, 0, 2, 1, 1, 4, 4, 3, 1, 4, 0, 2, 0, 3, 3, 3, 4, 3, 0, 0, 0, 4, 2, 3, 1, 2, 0, 2, 4, 0, 2, 3, 2, 1, 2, 0, 3, 4, 3, 1, 4, 0, 2, 2, 2, 1, 4, 1, 4, 1, 3, 3, 3, 1, 4, 1, 3, 2, 0, 2, 2, 2, 0, 2, 4, 3, 3, 0, 1, 1, 3, 1, 3, 2, 0, 3, 1, 4, 3, 2, 4, 0, 4, 1, 1, 4, 1, 3, 2, 3, 0, 4, 0, 4, 4, 2, 2, 1, 0, 2, 2, 4, 0, 2, 0, 2, 3, 4, 3, 0, 4, 3, 2, 4, 3, 4, 4, 4, 3, 1, 4, 0, 2, 2, 1, 1, 2, 3, 0, 3, 3, 1, 0, 0, 1, 4, 1, 0, 1, 2, 0, 4, 0, 0, 2, 1, 3, 1] pubkeycol1769 = [3, 1, 2, 1, 3, 4, 2, 0, 3, 3, 3, 0, 1, 1, 1, 4, 2, 0, 2, 3, 0, 2, 3, 3, 2, 1, 0, 2, 2, 1, 0, 3, 4, 1, 0, 2, 3, 4, 3, 0, 1, 2, 3, 0, 3, 4, 0, 2, 1, 1, 1, 2, 2, 3, 0, 2, 2, 4, 4, 2, 0, 3, 3, 0, 1, 0, 0, 0, 4, 4, 4, 0, 4, 1, 4, 0, 0, 1, 1, 1, 1, 2, 1, 4, 2, 3, 4, 4, 1, 1, 4, 2, 2, 0, 2, 2, 4, 4, 1, 4, 1, 0, 3, 2, 3, 1, 1, 2, 4, 3, 1, 1, 4, 0, 0, 1, 4, 4, 2, 1, 4, 0, 1, 4, 1, 0, 2, 1, 3, 1, 3, 3, 3, 2, 4, 0, 0, 3, 1, 1, 1, 4, 0, 2, 1, 4, 1, 0, 3, 2, 4, 0, 0, 3, 0, 3, 4, 1, 1, 4, 0, 0, 4, 2, 2, 4, 3, 2, 0, 3, 1, 0, 2, 4, 1, 4, 4, 3, 2, 3, 4, 4, 2, 1, 2, 1, 1, 2, 4, 0, 4, 1, 3, 3, 1, 0, 1, 2, 3, 4, 0, 2, 4, 4, 2, 4, 3, 1, 1, 4, 4, 4, 1, 0, 3, 2, 0, 3, 4, 0, 3, 4, 2, 0, 3, 4, 0, 4, 3, 2, 1, 1, 2, 4, 2, 1, 0, 1, 4, 2, 2, 0, 3, 1, 3, 0, 1, 3, 0, 4, 1, 0, 1, 0, 2, 1, 1, 3, 4, 1, 3, 0, 1, 2, 3, 3, 1, 4, 3, 4, 1, 3, 3, 2, 3, 4, 0, 0, 2, 3, 3, 2, 2, 1, 1, 0, 1, 1, 3, 0, 1, 3, 4, 2, 3, 4, 0, 4, 3, 1, 4, 4, 4, 3, 1, 1, 3, 0, 1, 3, 0, 4, 2, 1, 1, 4, 0, 1, 3, 3, 2, 1, 1, 2, 2, 1, 4, 2, 1, 4, 1, 2, 3, 4, 0, 0, 0, 2, 2, 3, 1, 4, 3, 2, 2, 3, 1, 4, 4, 3, 2, 3, 2, 0, 0, 0, 3, 3, 3, 0, 2, 1, 4, 4, 2, 0, 1, 4, 3, 0, 3, 2, 0, 0, 0, 1, 3, 4, 0, 4, 3, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 3, 0, 1, 0, 4] pubkeycol1770 = [2, 4, 2, 3, 4, 0, 3, 4, 1, 1, 4, 0, 4, 3, 1, 0, 2, 3, 4, 4, 1, 0, 1, 4, 4, 4, 0, 0, 2, 0, 2, 0, 4, 1, 4, 4, 0, 0, 2, 4, 1, 3, 3, 3, 1, 3, 2, 4, 0, 3, 2, 0, 3, 1, 3, 2, 3, 1, 1, 0, 2, 0, 3, 3, 3, 2, 0, 4, 2, 0, 3, 2, 0, 1, 0, 4, 0, 0, 0, 4, 1, 1, 4, 2, 4, 2, 0, 4, 2, 0, 1, 1, 4, 3, 3, 4, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 3, 4, 4, 3, 2, 4, 4, 4, 2, 4, 3, 3, 3, 4, 1, 1, 4, 1, 3, 0, 0, 2, 4, 2, 0, 4, 3, 3, 4, 2, 0, 0, 0, 1, 4, 0, 2, 3, 4, 3, 2, 1, 3, 2, 2, 3, 1, 3, 4, 0, 2, 1, 3, 2, 1, 0, 0, 3, 2, 3, 4, 2, 1, 2, 3, 2, 2, 2, 0, 1, 0, 3, 3, 3, 1, 4, 2, 3, 1, 0, 4, 3, 4, 4, 1, 0, 2, 0, 4, 0, 2, 3, 0, 4, 4, 2, 3, 3, 3, 0, 3, 0, 4, 1, 2, 4, 1, 1, 2, 4, 1, 3, 4, 2, 4, 2, 4, 2, 2, 1, 2, 2, 4, 0, 2, 1, 0, 3, 0, 2, 2, 2, 0, 2, 0, 4, 4, 4, 4, 1, 3, 4, 1, 3, 2, 4, 3, 4, 4, 3, 2, 3, 1, 2, 4, 0, 2, 0, 2, 4, 2, 0, 1, 4, 4, 1, 0, 0, 0, 4, 2, 4, 1, 0, 3, 3, 2, 2, 3, 1, 1, 4, 3, 4, 2, 1, 4, 3, 3, 3, 1, 3, 0, 3, 2, 3, 1, 2, 3, 0, 2, 2, 3, 0, 2, 0, 3, 2, 4, 1, 4, 3, 4, 2, 0, 2, 0, 2, 0, 4, 0, 1, 1, 3, 0, 3, 0, 4, 1, 2, 2, 4, 3, 4, 2, 3, 0, 0, 4, 2, 4, 0, 1, 1, 0, 0, 2, 4, 2, 3, 0, 4, 0, 2, 3, 2, 4, 1, 4, 2, 0, 4, 1, 2, 0, 2, 4, 2, 3, 1, 0, 3, 3, 0, 2, 3, 1, 0, 0, 2, 4, 1, 4, 0, 4, 4, 3, 3, 2, 1, 0, 2, 4, 0] pubkeycol1771 = [1, 4, 2, 0, 4, 0, 4, 2, 4, 0, 4, 2, 0, 3, 0, 3, 4, 2, 3, 1, 1, 3, 0, 3, 1, 4, 3, 1, 0, 1, 4, 4, 0, 2, 2, 0, 2, 4, 4, 3, 4, 4, 0, 4, 4, 4, 3, 1, 1, 2, 0, 4, 2, 2, 3, 4, 2, 1, 2, 1, 0, 2, 0, 3, 1, 3, 4, 1, 2, 3, 2, 1, 0, 2, 3, 0, 4, 4, 3, 1, 0, 0, 1, 1, 3, 1, 0, 4, 2, 3, 0, 3, 3, 1, 1, 3, 0, 0, 3, 1, 1, 2, 2, 4, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 0, 1, 4, 0, 3, 1, 1, 1, 2, 0, 2, 4, 1, 4, 4, 2, 0, 0, 3, 4, 3, 1, 4, 0, 2, 1, 0, 1, 2, 4, 1, 4, 4, 4, 4, 1, 4, 4, 3, 1, 1, 0, 0, 3, 3, 3, 0, 2, 3, 0, 3, 1, 0, 4, 1, 3, 2, 4, 2, 4, 0, 1, 4, 3, 4, 2, 1, 4, 2, 4, 3, 4, 0, 0, 2, 2, 0, 4, 2, 3, 3, 3, 4, 2, 3, 0, 3, 4, 0, 2, 1, 3, 2, 2, 2, 3, 2, 1, 1, 3, 2, 3, 4, 3, 2, 0, 2, 0, 2, 2, 4, 0, 0, 1, 4, 4, 2, 3, 3, 1, 1, 2, 0, 4, 2, 1, 2, 2, 1, 2, 4, 1, 3, 2, 0, 2, 1, 3, 0, 4, 1, 2, 1, 2, 4, 1, 4, 1, 2, 0, 3, 1, 1, 0, 0, 3, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 3, 1, 2, 3, 1, 2, 2, 3, 1, 0, 4, 2, 4, 0, 4, 4, 3, 0, 2, 0, 1, 0, 1, 4, 3, 2, 1, 2, 4, 1, 2, 4, 1, 1, 3, 1, 0, 4, 2, 3, 1, 4, 2, 2, 2, 2, 0, 1, 4, 1, 2, 3, 4, 0, 4, 0, 0, 1, 3, 3, 0, 0, 1, 4, 4, 1, 3, 0, 1, 1, 0, 3, 3, 2, 2, 1, 4, 1, 2, 4, 4, 0, 2, 4, 2, 0, 3, 0, 2, 2, 3, 2, 2, 2, 1, 0, 0, 1, 0, 3, 3, 3, 4, 2, 3, 0, 0, 1, 3, 0, 3, 2, 3, 4, 0, 1, 4, 3, 3] pubkeycol1772 = [4, 3, 2, 1, 1, 0, 3, 0, 3, 2, 3, 2, 2, 2, 2, 3, 1, 2, 1, 3, 0, 1, 0, 4, 1, 0, 0, 1, 4, 0, 0, 4, 1, 3, 2, 0, 4, 0, 2, 1, 3, 0, 3, 1, 3, 3, 0, 2, 1, 0, 1, 2, 1, 3, 0, 0, 0, 0, 2, 2, 1, 4, 2, 1, 4, 2, 4, 1, 3, 0, 1, 3, 1, 2, 3, 4, 4, 0, 4, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 4, 1, 0, 3, 4, 4, 1, 1, 4, 3, 1, 4, 4, 0, 3, 1, 2, 0, 4, 4, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 3, 2, 2, 2, 4, 3, 0, 4, 0, 3, 0, 3, 3, 0, 0, 2, 2, 1, 0, 4, 4, 1, 1, 3, 2, 1, 1, 2, 3, 3, 3, 4, 1, 1, 3, 2, 4, 4, 3, 2, 3, 4, 3, 2, 1, 4, 4, 3, 3, 1, 0, 1, 2, 4, 4, 4, 0, 3, 4, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 3, 3, 2, 4, 3, 2, 0, 2, 3, 1, 4, 2, 3, 4, 2, 2, 1, 1, 0, 4, 1, 2, 1, 0, 2, 1, 3, 3, 4, 4, 4, 0, 3, 3, 3, 1, 4, 0, 0, 4, 1, 3, 1, 2, 4, 4, 3, 1, 1, 4, 3, 1, 3, 4, 4, 4, 1, 0, 3, 2, 2, 0, 2, 4, 0, 1, 2, 3, 4, 0, 0, 3, 0, 2, 2, 4, 4, 1, 0, 1, 0, 2, 3, 1, 1, 2, 3, 1, 1, 4, 4, 1, 1, 3, 2, 2, 0, 0, 4, 3, 3, 4, 1, 0, 2, 4, 0, 1, 2, 3, 3, 0, 0, 2, 4, 1, 3, 4, 1, 4, 2, 4, 3, 2, 0, 0, 1, 4, 4, 3, 2, 2, 2, 3, 3, 3, 4, 1, 3, 4, 0, 4, 4, 3, 0, 2, 3, 4, 4, 3, 0, 4, 0, 3, 2, 2, 1, 3, 4, 2, 2, 0, 0, 2, 2, 1, 1, 1, 3, 0, 4, 0, 0, 2, 3, 3, 4, 1, 4, 1, 3, 2, 0, 4, 3, 1, 3, 2, 3, 0, 1, 3, 1, 2, 0, 1, 2, 0, 1, 4, 4, 2, 1, 1, 3, 3, 1, 0] pubkeycol1773 = [2, 0, 2, 4, 4, 3, 0, 4, 2, 4, 2, 0, 0, 2, 3, 4, 2, 0, 4, 1, 1, 2, 3, 4, 2, 4, 4, 2, 1, 2, 4, 1, 2, 4, 0, 1, 0, 4, 1, 3, 4, 3, 2, 2, 3, 0, 3, 0, 2, 1, 3, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 4, 1, 1, 4, 4, 4, 2, 0, 4, 1, 4, 2, 4, 4, 0, 2, 0, 3, 0, 1, 0, 0, 2, 3, 2, 2, 4, 3, 1, 4, 1, 2, 0, 3, 4, 0, 2, 1, 3, 1, 1, 2, 4, 0, 2, 3, 2, 4, 0, 2, 1, 0, 2, 3, 1, 0, 4, 4, 0, 3, 0, 2, 2, 2, 0, 3, 0, 0, 2, 3, 2, 2, 3, 1, 4, 0, 3, 3, 2, 0, 0, 4, 0, 1, 0, 0, 1, 1, 0, 3, 0, 4, 0, 4, 2, 3, 3, 4, 2, 2, 0, 3, 1, 0, 2, 1, 3, 3, 4, 4, 3, 4, 0, 2, 0, 3, 4, 1, 4, 1, 4, 1, 3, 0, 4, 3, 4, 0, 0, 3, 0, 0, 1, 2, 4, 2, 0, 3, 2, 0, 1, 4, 3, 0, 2, 3, 2, 3, 0, 4, 2, 1, 1, 3, 0, 2, 3, 4, 0, 4, 0, 4, 2, 2, 0, 2, 2, 0, 1, 3, 1, 0, 4, 1, 0, 3, 2, 1, 3, 2, 2, 0, 0, 4, 2, 3, 1, 3, 4, 2, 0, 2, 3, 4, 2, 4, 3, 2, 3, 0, 4, 0, 3, 3, 4, 2, 2, 2, 2, 0, 4, 3, 2, 1, 1, 1, 1, 1, 4, 3, 3, 1, 1, 2, 3, 3, 1, 2, 1, 2, 4, 0, 3, 2, 0, 1, 4, 0, 3, 2, 1, 3, 0, 1, 2, 2, 4, 2, 4, 3, 4, 3, 0, 2, 1, 4, 4, 1, 0, 0, 2, 0, 1, 2, 2, 2, 4, 0, 0, 3, 1, 0, 0, 0, 1, 0, 2, 4, 0, 3, 1, 2, 4, 2, 1, 1, 3, 0, 2, 0, 3, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 4, 0, 3, 3, 4, 1, 0, 2, 4, 1, 3, 1, 4, 4, 3, 4, 0, 4, 1, 0, 4, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 4, 3, 1, 0, 2, 4, 0] pubkeycol1774 = [0, 4, 3, 2, 4, 0, 0, 4, 3, 3, 2, 4, 1, 0, 4, 3, 2, 3, 2, 4, 3, 1, 4, 0, 3, 4, 2, 2, 0, 2, 2, 2, 4, 0, 1, 3, 4, 3, 2, 1, 1, 1, 4, 2, 4, 1, 2, 1, 0, 0, 4, 4, 3, 4, 2, 3, 1, 0, 3, 4, 3, 3, 3, 3, 4, 0, 3, 1, 2, 0, 1, 2, 2, 0, 0, 3, 0, 3, 1, 4, 2, 2, 4, 3, 2, 4, 2, 0, 4, 2, 1, 3, 0, 2, 0, 1, 3, 0, 0, 1, 2, 0, 3, 3, 4, 0, 1, 3, 3, 2, 0, 1, 0, 1, 4, 0, 0, 3, 2, 1, 3, 0, 1, 0, 2, 2, 4, 3, 4, 1, 3, 2, 2, 3, 2, 4, 4, 1, 4, 2, 4, 3, 0, 4, 0, 3, 2, 1, 2, 3, 1, 2, 3, 2, 0, 1, 0, 0, 1, 4, 1, 1, 1, 4, 0, 3, 3, 0, 0, 4, 1, 3, 3, 4, 3, 2, 0, 2, 0, 3, 4, 4, 1, 0, 4, 2, 2, 0, 3, 1, 1, 3, 3, 0, 0, 0, 3, 3, 1, 1, 1, 2, 4, 4, 3, 3, 2, 2, 4, 4, 1, 2, 0, 4, 4, 0, 2, 4, 1, 2, 3, 1, 3, 2, 2, 3, 4, 2, 1, 1, 2, 0, 0, 0, 0, 2, 3, 0, 1, 0, 4, 4, 0, 4, 2, 4, 0, 0, 3, 3, 1, 0, 1, 2, 4, 2, 4, 0, 0, 1, 3, 3, 4, 2, 2, 2, 4, 2, 1, 1, 4, 0, 3, 0, 1, 0, 3, 3, 4, 4, 4, 4, 4, 2, 4, 3, 1, 1, 4, 4, 1, 2, 0, 4, 2, 3, 1, 3, 0, 4, 3, 4, 3, 4, 1, 3, 2, 0, 4, 2, 1, 3, 3, 3, 2, 1, 3, 0, 0, 4, 3, 3, 4, 4, 3, 0, 2, 4, 0, 2, 2, 1, 4, 3, 3, 3, 1, 1, 3, 0, 4, 4, 4, 0, 2, 1, 3, 4, 3, 4, 2, 2, 0, 1, 4, 4, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 3, 0, 0, 3, 3, 4, 3, 4, 3, 0, 4, 0, 4, 0, 2, 4, 4, 2, 0, 0, 4, 3, 3, 2, 4, 3, 3, 0, 1, 4, 3, 1, 1] pubkeycol1775 = [2, 0, 1, 3, 3, 3, 3, 0, 4, 2, 0, 4, 4, 4, 1, 1, 0, 4, 3, 1, 3, 3, 2, 3, 2, 1, 1, 2, 3, 0, 0, 2, 1, 4, 3, 2, 2, 1, 4, 0, 3, 3, 4, 0, 1, 2, 4, 4, 0, 1, 0, 1, 2, 2, 3, 0, 3, 4, 2, 2, 4, 1, 1, 1, 3, 0, 3, 3, 4, 0, 4, 3, 0, 4, 0, 2, 4, 2, 3, 2, 4, 4, 2, 3, 1, 4, 3, 0, 1, 0, 1, 3, 2, 4, 2, 0, 1, 4, 1, 0, 3, 0, 1, 4, 0, 1, 2, 0, 3, 4, 2, 0, 3, 1, 3, 1, 3, 2, 3, 3, 4, 1, 4, 4, 1, 1, 4, 2, 1, 2, 1, 4, 2, 3, 1, 2, 3, 1, 2, 1, 1, 1, 0, 1, 2, 4, 3, 1, 2, 0, 0, 2, 4, 1, 3, 2, 2, 2, 3, 0, 2, 3, 0, 2, 4, 3, 0, 0, 3, 4, 0, 4, 2, 1, 4, 3, 3, 0, 1, 3, 3, 1, 1, 3, 1, 3, 1, 0, 0, 4, 2, 0, 3, 0, 2, 3, 4, 0, 1, 1, 0, 2, 3, 3, 3, 2, 1, 3, 3, 2, 4, 4, 1, 1, 2, 0, 1, 3, 3, 0, 0, 2, 3, 2, 4, 0, 0, 4, 2, 2, 2, 4, 1, 2, 1, 4, 1, 0, 3, 2, 2, 3, 2, 2, 2, 2, 1, 1, 0, 4, 4, 1, 4, 0, 0, 2, 1, 1, 3, 2, 1, 3, 0, 2, 4, 1, 2, 0, 3, 0, 0, 2, 4, 1, 2, 0, 3, 0, 0, 1, 3, 1, 0, 2, 0, 2, 3, 3, 0, 0, 3, 3, 4, 1, 0, 2, 0, 1, 2, 0, 3, 0, 1, 1, 3, 4, 2, 3, 2, 3, 3, 4, 1, 3, 2, 2, 4, 4, 1, 1, 0, 3, 0, 1, 1, 3, 2, 3, 4, 4, 3, 2, 1, 2, 4, 3, 2, 1, 0, 3, 4, 0, 4, 3, 3, 0, 0, 2, 0, 2, 0, 1, 0, 0, 3, 4, 0, 4, 3, 2, 0, 0, 1, 1, 0, 4, 0, 0, 0, 0, 3, 0, 1, 3, 3, 1, 3, 1, 1, 1, 4, 1, 0, 1, 3, 4, 3, 0, 4, 4, 2, 1, 3, 0, 4, 4, 1, 0, 4, 1] pubkeycol1776 = [2, 3, 3, 2, 3, 4, 0, 2, 2, 2, 4, 0, 0, 3, 4, 2, 4, 4, 1, 3, 1, 4, 3, 1, 1, 2, 0, 0, 0, 1, 4, 3, 4, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 3, 1, 2, 0, 2, 0, 4, 2, 0, 4, 3, 2, 3, 3, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 3, 0, 4, 4, 4, 2, 3, 0, 4, 0, 2, 4, 4, 4, 1, 0, 1, 0, 0, 3, 0, 0, 0, 4, 0, 1, 0, 3, 4, 0, 4, 0, 2, 0, 4, 0, 4, 0, 4, 3, 2, 3, 2, 4, 1, 4, 3, 4, 1, 3, 4, 1, 2, 4, 3, 4, 1, 3, 3, 1, 4, 0, 4, 2, 3, 2, 1, 0, 0, 4, 1, 3, 0, 4, 0, 1, 0, 0, 1, 4, 0, 3, 2, 2, 3, 3, 2, 0, 2, 1, 1, 1, 4, 2, 2, 3, 0, 3, 3, 4, 0, 1, 4, 3, 0, 1, 0, 3, 3, 3, 1, 4, 2, 3, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 4, 3, 1, 0, 1, 1, 1, 1, 1, 4, 2, 4, 1, 3, 1, 3, 3, 1, 3, 0, 0, 1, 4, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 1, 3, 0, 1, 1, 4, 2, 1, 4, 3, 0, 3, 1, 3, 4, 3, 4, 4, 2, 3, 0, 3, 2, 0, 0, 3, 1, 2, 1, 0, 4, 1, 4, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 3, 4, 0, 0, 1, 3, 1, 4, 1, 2, 3, 2, 2, 3, 4, 1, 3, 3, 4, 2, 3, 3, 2, 0, 1, 0, 3, 4, 0, 2, 3, 3, 2, 1, 3, 1, 0, 4, 0, 0, 1, 4, 2, 4, 1, 4, 3, 4, 1, 4, 3, 1, 1, 4, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 3, 2, 0, 0, 2, 2, 3, 3, 3, 4, 2, 4, 3, 1, 2, 0, 3, 4, 4, 2, 3, 2, 2, 2, 4, 4, 3, 2, 2, 1, 0, 4, 4, 3, 4, 0, 4, 3, 4, 3, 1, 1, 1, 3, 3, 2, 1, 3, 2, 3, 2, 4, 2, 0, 1, 1, 4] pubkeycol1777 = [0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 1, 1, 3, 0, 2, 2, 2, 3, 1, 4, 2, 3, 0, 1, 0, 3, 4, 2, 0, 0, 3, 3, 0, 4, 0, 4, 3, 4, 0, 4, 4, 2, 2, 4, 2, 0, 2, 1, 3, 0, 4, 4, 2, 4, 0, 2, 4, 4, 0, 4, 1, 3, 0, 3, 1, 0, 3, 2, 3, 3, 4, 1, 1, 3, 2, 2, 2, 4, 1, 3, 0, 2, 4, 2, 2, 1, 4, 1, 1, 0, 4, 4, 4, 1, 1, 4, 2, 0, 0, 2, 3, 1, 1, 0, 3, 1, 4, 0, 2, 2, 4, 3, 2, 0, 2, 3, 2, 2, 3, 4, 0, 1, 3, 4, 3, 0, 0, 0, 4, 1, 2, 2, 4, 2, 1, 1, 3, 2, 3, 3, 1, 0, 4, 1, 0, 1, 3, 4, 2, 3, 4, 0, 1, 0, 3, 1, 4, 3, 1, 0, 0, 1, 3, 0, 3, 3, 3, 0, 1, 4, 2, 3, 4, 1, 0, 1, 0, 2, 4, 4, 0, 2, 3, 2, 1, 0, 4, 2, 0, 1, 4, 4, 1, 2, 3, 2, 1, 2, 3, 3, 0, 4, 1, 4, 4, 4, 3, 3, 1, 4, 2, 1, 0, 2, 0, 4, 3, 2, 1, 2, 2, 4, 0, 0, 2, 0, 1, 4, 4, 1, 3, 3, 3, 1, 4, 0, 3, 1, 0, 3, 0, 1, 4, 3, 0, 1, 4, 0, 2, 3, 3, 1, 0, 1, 4, 1, 2, 1, 3, 0, 3, 0, 3, 4, 0, 3, 4, 0, 1, 1, 4, 4, 0, 3, 2, 4, 3, 1, 3, 0, 2, 4, 4, 0, 1, 3, 2, 1, 2, 1, 0, 3, 1, 0, 2, 1, 1, 0, 3, 0, 1, 4, 4, 2, 1, 2, 3, 3, 2, 2, 2, 0, 1, 3, 0, 4, 4, 2, 2, 2, 1, 0, 1, 0, 4, 0, 3, 2, 0, 3, 4, 2, 0, 2, 3, 3, 3, 2, 2, 4, 2, 1, 1, 1, 0, 3, 3, 3, 0, 0, 2, 2, 3, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 3, 2, 2, 0, 0, 3, 1, 0, 1, 2, 2, 1, 3, 0, 2, 0, 2, 0, 2, 3, 3, 2, 1, 2, 3, 1, 3, 4, 0, 0, 3, 1, 2, 1, 0, 3, 1] pubkeycol1778 = [2, 3, 3, 1, 3, 3, 0, 0, 4, 0, 4, 2, 4, 2, 3, 1, 0, 4, 0, 3, 1, 0, 3, 3, 3, 1, 1, 2, 4, 3, 4, 2, 1, 0, 4, 3, 1, 3, 0, 2, 4, 0, 0, 1, 3, 1, 3, 4, 0, 1, 3, 4, 0, 2, 0, 4, 3, 3, 2, 3, 1, 1, 0, 4, 1, 1, 2, 0, 3, 3, 4, 0, 1, 3, 3, 2, 0, 4, 4, 4, 4, 0, 4, 3, 2, 3, 1, 0, 1, 3, 2, 2, 1, 3, 3, 0, 3, 3, 1, 2, 0, 4, 0, 1, 3, 2, 1, 0, 4, 1, 2, 1, 3, 4, 3, 0, 4, 3, 3, 1, 0, 0, 0, 1, 1, 0, 3, 0, 4, 2, 4, 0, 3, 4, 3, 3, 4, 3, 1, 2, 3, 3, 2, 2, 0, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 3, 0, 0, 2, 2, 1, 1, 0, 0, 3, 4, 2, 2, 4, 4, 4, 1, 0, 2, 1, 2, 3, 0, 4, 3, 4, 1, 0, 2, 3, 2, 2, 3, 2, 2, 3, 1, 1, 2, 0, 4, 2, 2, 3, 0, 3, 1, 1, 4, 4, 2, 0, 3, 1, 2, 1, 4, 4, 2, 4, 3, 1, 4, 0, 3, 2, 4, 3, 4, 4, 0, 0, 4, 0, 3, 3, 3, 0, 1, 4, 1, 2, 3, 1, 0, 1, 1, 3, 1, 0, 0, 3, 0, 4, 3, 1, 3, 1, 4, 2, 0, 3, 1, 4, 3, 4, 2, 1, 2, 4, 2, 3, 4, 3, 2, 1, 2, 1, 0, 3, 0, 1, 2, 3, 4, 2, 1, 2, 1, 0, 3, 3, 1, 2, 0, 2, 3, 4, 1, 1, 2, 0, 0, 3, 1, 0, 0, 3, 3, 2, 1, 2, 2, 2, 4, 3, 0, 1, 1, 1, 4, 1, 0, 3, 0, 4, 1, 4, 0, 4, 3, 2, 1, 1, 1, 2, 0, 4, 1, 0, 3, 0, 2, 0, 2, 0, 3, 2, 2, 4, 1, 2, 4, 1, 2, 4, 4, 4, 2, 0, 0, 3, 2, 2, 0, 2, 0, 3, 2, 2, 4, 1, 0, 1, 4, 2, 2, 4, 0, 1, 2, 2, 1, 0, 0, 2, 4, 4, 3, 1, 3, 3, 4, 2, 2, 4, 3, 3, 2, 3] pubkeycol1779 = [0, 0, 1, 2, 3, 2, 1, 0, 4, 4, 1, 4, 1, 3, 3, 2, 4, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 3, 2, 0, 1, 2, 4, 3, 3, 2, 3, 3, 0, 1, 4, 4, 0, 0, 1, 1, 2, 0, 0, 4, 4, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 3, 0, 2, 3, 0, 2, 1, 3, 4, 4, 0, 0, 4, 0, 3, 3, 3, 1, 3, 1, 1, 3, 2, 1, 3, 4, 4, 0, 2, 2, 3, 1, 3, 3, 1, 2, 2, 0, 4, 2, 0, 3, 1, 1, 2, 4, 1, 0, 1, 1, 1, 3, 4, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 4, 3, 4, 0, 3, 3, 3, 0, 4, 0, 2, 4, 4, 0, 3, 1, 2, 3, 0, 3, 2, 3, 4, 2, 2, 3, 0, 4, 3, 1, 3, 1, 4, 0, 3, 0, 3, 1, 4, 4, 1, 3, 2, 0, 3, 2, 2, 0, 2, 2, 0, 4, 2, 1, 1, 2, 0, 0, 0, 0, 2, 4, 1, 1, 4, 4, 4, 2, 2, 3, 2, 1, 0, 0, 1, 4, 3, 4, 1, 3, 4, 4, 2, 2, 0, 4, 4, 0, 0, 2, 1, 2, 3, 1, 0, 3, 4, 1, 3, 4, 1, 3, 4, 0, 3, 1, 3, 4, 3, 4, 0, 0, 3, 4, 3, 0, 0, 2, 3, 3, 3, 3, 4, 0, 2, 3, 4, 0, 1, 0, 3, 3, 2, 1, 3, 1, 2, 4, 1, 3, 2, 2, 1, 1, 3, 2, 3, 0, 2, 0, 3, 1, 4, 2, 2, 3, 1, 4, 4, 2, 1, 0, 3, 0, 0, 2, 3, 2, 0, 1, 0, 4, 2, 4, 4, 3, 4, 2, 2, 4, 1, 2, 0, 1, 4, 2, 1, 1, 3, 1, 3, 1, 2, 1, 0, 2, 4, 4, 0, 0, 2, 0, 1, 3, 2, 1, 3, 1, 3, 1, 2, 1, 0, 3, 1, 4, 1, 1, 4, 1, 4, 1, 2, 1, 3, 1, 4, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 0, 0, 1, 4, 4, 4, 4, 2, 4, 0, 4, 4, 3, 1, 2, 4, 3, 3, 0, 3, 0, 2, 0, 4, 0, 0, 1, 1, 4, 0] pubkeycol1780 = [3, 3, 3, 4, 0, 4, 3, 1, 2, 3, 4, 1, 3, 0, 1, 1, 1, 2, 4, 2, 2, 4, 1, 3, 2, 0, 2, 3, 1, 2, 2, 1, 0, 1, 4, 3, 2, 3, 0, 2, 1, 0, 0, 0, 4, 2, 4, 4, 3, 0, 0, 1, 1, 2, 0, 4, 4, 4, 1, 2, 2, 0, 1, 2, 3, 0, 4, 0, 1, 3, 3, 0, 2, 1, 1, 2, 0, 0, 4, 4, 1, 3, 1, 0, 3, 1, 2, 4, 2, 4, 3, 0, 3, 4, 3, 2, 3, 1, 3, 3, 2, 3, 4, 1, 1, 2, 4, 2, 4, 4, 4, 3, 2, 1, 0, 4, 2, 1, 2, 3, 2, 1, 3, 3, 4, 4, 3, 3, 2, 1, 3, 4, 2, 1, 2, 0, 3, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 3, 3, 3, 3, 4, 3, 4, 0, 4, 1, 0, 4, 3, 3, 3, 0, 0, 4, 2, 0, 4, 2, 3, 4, 4, 3, 0, 0, 2, 1, 0, 3, 3, 0, 3, 0, 0, 0, 4, 2, 1, 4, 2, 3, 2, 1, 2, 4, 1, 3, 3, 3, 0, 2, 2, 2, 0, 3, 2, 4, 4, 2, 2, 4, 1, 2, 1, 0, 3, 1, 0, 2, 0, 2, 3, 3, 2, 2, 4, 2, 0, 3, 2, 1, 2, 1, 1, 0, 0, 0, 3, 2, 2, 4, 1, 3, 4, 4, 0, 2, 1, 4, 4, 3, 0, 0, 4, 3, 3, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 3, 2, 2, 1, 1, 1, 4, 2, 3, 2, 0, 0, 0, 3, 0, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 0, 2, 2, 2, 4, 4, 3, 2, 0, 4, 3, 0, 2, 0, 1, 2, 1, 4, 2, 2, 4, 4, 3, 3, 4, 0, 2, 2, 4, 0, 1, 3, 3, 0, 0, 4, 1, 1, 4, 0, 3, 0, 1, 0, 2, 3, 3, 4, 4, 4, 0, 4, 3, 4, 1, 2, 4, 1, 1, 1, 0, 0, 3, 3, 3, 2, 4, 0, 0, 1, 1, 2, 3, 3, 2, 3, 4, 4, 4, 0, 4, 3, 3, 0, 1, 2, 4, 4, 3, 1, 3, 2, 3, 1, 1, 3, 0, 1, 3, 3, 4, 1, 0, 2, 0, 4, 0, 0] pubkeycol1781 = [4, 1, 0, 3, 2, 0, 4, 4, 2, 3, 2, 1, 3, 3, 4, 2, 4, 0, 1, 4, 0, 2, 1, 3, 4, 1, 4, 0, 0, 4, 1, 2, 3, 1, 2, 0, 0, 3, 2, 2, 3, 4, 2, 1, 1, 4, 1, 0, 1, 4, 4, 4, 1, 4, 2, 2, 0, 3, 4, 1, 2, 1, 3, 3, 4, 3, 3, 1, 1, 2, 2, 1, 4, 2, 3, 0, 0, 2, 4, 4, 4, 0, 1, 0, 3, 2, 3, 2, 2, 1, 3, 0, 2, 4, 4, 1, 0, 4, 2, 3, 0, 3, 3, 2, 3, 1, 0, 1, 0, 2, 0, 4, 3, 1, 3, 0, 0, 2, 4, 4, 4, 2, 0, 4, 2, 1, 3, 0, 1, 0, 2, 3, 4, 2, 2, 0, 0, 2, 4, 1, 1, 1, 0, 3, 3, 2, 2, 3, 3, 1, 4, 4, 0, 3, 3, 2, 1, 2, 0, 3, 2, 3, 4, 0, 4, 0, 0, 3, 4, 2, 4, 4, 3, 0, 4, 4, 4, 3, 4, 4, 0, 1, 4, 1, 2, 1, 1, 4, 3, 3, 2, 1, 3, 0, 2, 2, 2, 2, 3, 0, 1, 2, 4, 2, 0, 2, 2, 4, 1, 0, 2, 2, 1, 2, 4, 0, 4, 2, 0, 3, 2, 3, 1, 3, 1, 4, 1, 1, 3, 3, 0, 0, 2, 1, 2, 2, 1, 1, 3, 4, 1, 3, 3, 2, 0, 0, 4, 4, 4, 1, 3, 3, 4, 4, 3, 4, 0, 1, 0, 0, 3, 1, 2, 2, 2, 0, 3, 2, 2, 4, 4, 3, 1, 1, 4, 1, 3, 3, 4, 2, 2, 3, 1, 4, 1, 1, 4, 4, 1, 1, 2, 4, 4, 2, 3, 4, 0, 3, 0, 3, 1, 0, 3, 4, 1, 0, 0, 1, 3, 0, 3, 4, 1, 3, 0, 2, 2, 1, 3, 1, 2, 4, 1, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 3, 2, 1, 4, 0, 4, 3, 0, 4, 2, 1, 4, 0, 3, 1, 1, 2, 4, 1, 4, 4, 1, 4, 1, 2, 0, 3, 1, 0, 0, 1, 1, 4, 1, 1, 1, 4, 1, 3, 3, 3, 3, 2, 4, 3, 2, 4, 1, 1, 3, 0, 3, 2, 4, 4, 1, 4, 2, 0, 3, 4, 1, 1, 0, 2, 2, 1] pubkeycol1782 = [4, 3, 4, 4, 1, 2, 3, 3, 4, 2, 0, 4, 0, 2, 4, 1, 2, 0, 0, 0, 0, 3, 4, 1, 0, 4, 2, 4, 0, 1, 2, 3, 2, 3, 0, 4, 2, 2, 0, 0, 4, 2, 1, 0, 3, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 4, 2, 4, 2, 4, 3, 1, 0, 2, 0, 3, 0, 0, 0, 0, 1, 0, 2, 2, 2, 4, 0, 1, 2, 2, 4, 1, 0, 1, 2, 3, 0, 3, 2, 0, 4, 0, 4, 3, 4, 1, 2, 1, 0, 0, 1, 3, 1, 3, 4, 2, 1, 3, 3, 0, 3, 4, 0, 2, 0, 4, 3, 0, 4, 1, 4, 3, 0, 3, 3, 3, 2, 0, 3, 4, 2, 3, 0, 0, 3, 0, 2, 0, 0, 4, 4, 0, 2, 1, 0, 1, 0, 4, 4, 1, 0, 1, 4, 0, 4, 2, 0, 0, 4, 0, 0, 1, 1, 1, 1, 2, 3, 1, 0, 2, 0, 1, 0, 3, 3, 3, 4, 3, 4, 4, 4, 2, 2, 0, 2, 1, 3, 3, 0, 2, 0, 2, 2, 4, 3, 4, 3, 2, 4, 4, 0, 2, 1, 2, 3, 1, 3, 4, 3, 0, 2, 2, 2, 4, 2, 1, 0, 1, 1, 1, 3, 0, 4, 0, 1, 0, 0, 2, 3, 1, 1, 1, 4, 1, 2, 3, 3, 1, 2, 0, 3, 4, 2, 4, 0, 0, 3, 3, 1, 3, 0, 4, 3, 1, 2, 0, 4, 3, 2, 2, 4, 4, 4, 2, 2, 1, 2, 3, 2, 3, 0, 2, 3, 3, 0, 3, 4, 2, 2, 3, 1, 3, 3, 2, 1, 3, 0, 3, 1, 2, 3, 3, 0, 0, 1, 2, 0, 3, 1, 4, 1, 2, 2, 4, 4, 3, 1, 3, 3, 4, 0, 0, 4, 1, 2, 2, 2, 2, 0, 3, 4, 0, 4, 2, 4, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 2, 4, 2, 4, 1, 4, 4, 2, 0, 0, 3, 0, 1, 0, 1, 1, 1, 2, 3, 3, 2, 4, 0, 0, 3, 1, 2, 2, 3, 0, 1, 2, 2, 1, 2, 4, 0, 2, 3, 1, 0, 4, 4, 0, 0, 3, 0, 4, 1, 2, 2, 3, 2, 2, 1, 3, 4, 4, 1, 1, 3, 1] pubkeycol1783 = [2, 1, 3, 1, 3, 1, 4, 2, 4, 0, 4, 3, 0, 4, 4, 1, 1, 4, 3, 4, 2, 3, 1, 0, 0, 2, 2, 4, 3, 0, 2, 1, 2, 0, 4, 1, 4, 2, 2, 4, 4, 0, 0, 0, 4, 3, 4, 1, 3, 1, 4, 2, 4, 2, 0, 2, 4, 4, 1, 1, 3, 0, 2, 2, 2, 2, 3, 2, 0, 1, 2, 2, 4, 4, 1, 3, 4, 1, 1, 2, 1, 4, 0, 3, 3, 1, 3, 4, 2, 4, 2, 0, 3, 2, 2, 3, 2, 2, 1, 3, 4, 3, 3, 3, 4, 0, 3, 2, 0, 4, 0, 1, 3, 4, 4, 4, 2, 2, 2, 3, 4, 3, 1, 4, 2, 0, 1, 2, 4, 0, 0, 4, 1, 0, 2, 4, 2, 0, 3, 1, 2, 2, 3, 4, 1, 2, 3, 1, 3, 4, 1, 0, 3, 2, 2, 2, 4, 1, 3, 4, 2, 1, 2, 0, 0, 3, 3, 1, 2, 3, 4, 3, 3, 0, 1, 3, 2, 1, 2, 4, 2, 0, 4, 3, 4, 1, 1, 1, 2, 2, 4, 1, 1, 2, 2, 4, 2, 0, 4, 0, 4, 0, 3, 2, 4, 0, 2, 2, 2, 2, 2, 3, 2, 0, 0, 3, 1, 1, 0, 3, 3, 1, 2, 0, 2, 3, 3, 1, 4, 0, 3, 0, 0, 0, 3, 3, 3, 1, 4, 4, 4, 4, 1, 3, 2, 0, 0, 3, 0, 0, 4, 2, 2, 2, 3, 1, 0, 2, 0, 4, 2, 3, 0, 4, 3, 4, 1, 3, 1, 1, 4, 0, 4, 0, 2, 2, 0, 2, 2, 1, 3, 2, 2, 3, 2, 4, 1, 3, 3, 1, 4, 0, 1, 2, 0, 2, 1, 3, 0, 4, 2, 4, 3, 1, 4, 1, 0, 1, 0, 4, 3, 3, 1, 0, 2, 1, 4, 0, 0, 1, 1, 0, 4, 3, 0, 3, 0, 1, 1, 3, 2, 2, 1, 4, 0, 0, 2, 4, 3, 1, 0, 2, 0, 4, 0, 2, 2, 4, 3, 3, 2, 3, 3, 2, 3, 0, 1, 3, 0, 2, 1, 3, 0, 4, 2, 1, 0, 2, 0, 4, 0, 1, 3, 3, 2, 0, 3, 3, 2, 3, 2, 4, 0, 3, 1, 0, 0, 3, 3, 1, 2, 4, 3, 2, 2, 2, 3, 2, 2, 4] pubkeycol1784 = [0, 1, 3, 4, 0, 1, 1, 4, 2, 0, 1, 1, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 4, 3, 0, 1, 1, 2, 2, 0, 4, 1, 3, 0, 1, 3, 2, 3, 2, 0, 0, 3, 3, 0, 4, 0, 4, 1, 0, 0, 3, 4, 2, 0, 1, 3, 0, 0, 0, 0, 2, 4, 4, 2, 2, 3, 4, 4, 0, 3, 3, 3, 0, 2, 0, 3, 2, 3, 1, 4, 3, 4, 0, 3, 3, 2, 2, 2, 3, 2, 4, 3, 0, 1, 4, 3, 0, 0, 0, 4, 4, 1, 4, 4, 4, 2, 0, 0, 0, 2, 0, 2, 0, 1, 4, 2, 0, 1, 2, 2, 2, 4, 3, 3, 4, 3, 0, 1, 4, 3, 3, 0, 4, 3, 2, 1, 3, 1, 0, 2, 4, 2, 3, 3, 4, 4, 3, 4, 1, 1, 0, 0, 2, 3, 2, 0, 2, 1, 0, 2, 2, 0, 0, 4, 1, 0, 1, 3, 2, 3, 1, 4, 0, 2, 2, 1, 4, 4, 2, 1, 3, 0, 0, 2, 4, 2, 0, 0, 1, 4, 4, 4, 3, 2, 0, 0, 3, 0, 2, 3, 4, 1, 1, 1, 1, 4, 2, 2, 1, 0, 0, 1, 3, 0, 0, 4, 4, 3, 2, 0, 0, 4, 0, 2, 4, 3, 4, 2, 4, 2, 2, 4, 4, 0, 0, 3, 2, 1, 4, 0, 3, 0, 1, 2, 4, 4, 1, 1, 4, 3, 3, 2, 4, 1, 0, 2, 0, 2, 1, 1, 2, 3, 4, 3, 4, 3, 1, 0, 4, 2, 2, 2, 3, 3, 3, 4, 2, 1, 4, 0, 4, 2, 0, 0, 1, 0, 3, 1, 2, 2, 4, 0, 2, 3, 3, 3, 1, 2, 2, 0, 1, 3, 1, 2, 4, 3, 2, 4, 3, 3, 1, 3, 4, 0, 4, 1, 2, 1, 1, 2, 4, 4, 3, 3, 1, 4, 3, 0, 1, 0, 0, 3, 4, 3, 1, 4, 4, 0, 4, 1, 2, 3, 4, 4, 1, 1, 1, 1, 3, 0, 3, 1, 1, 4, 4, 2, 4, 4, 4, 0, 2, 3, 0, 1, 3, 1, 1, 4, 1, 1, 1, 4, 1, 0, 0, 4, 2, 1, 3, 1, 0, 1, 0, 1, 2, 2, 2, 4, 0, 0, 2, 4, 2, 1, 3, 0, 3, 4, 4, 0] pubkeycol1785 = [2, 3, 2, 1, 0, 0, 4, 3, 0, 3, 4, 4, 3, 4, 2, 4, 0, 0, 3, 1, 3, 0, 2, 0, 4, 2, 4, 0, 1, 2, 4, 1, 1, 0, 4, 1, 0, 2, 4, 1, 2, 1, 3, 0, 4, 0, 0, 4, 0, 1, 3, 4, 1, 4, 3, 2, 1, 0, 2, 3, 3, 3, 4, 2, 2, 1, 0, 4, 4, 4, 1, 3, 0, 3, 3, 0, 3, 4, 0, 3, 2, 3, 2, 4, 0, 2, 0, 3, 3, 2, 0, 1, 2, 3, 4, 3, 0, 1, 1, 4, 4, 0, 0, 3, 4, 3, 2, 1, 3, 1, 4, 0, 0, 4, 2, 0, 1, 2, 0, 2, 1, 0, 4, 2, 2, 3, 0, 0, 0, 2, 1, 4, 1, 1, 0, 1, 2, 2, 4, 3, 4, 4, 2, 1, 4, 4, 3, 2, 3, 3, 3, 0, 2, 2, 0, 3, 2, 1, 0, 3, 2, 4, 4, 3, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 3, 2, 4, 2, 1, 1, 4, 4, 3, 4, 4, 2, 3, 1, 1, 4, 1, 3, 0, 2, 2, 2, 1, 4, 4, 2, 2, 3, 1, 0, 0, 1, 3, 1, 4, 1, 2, 4, 4, 0, 3, 2, 2, 2, 4, 4, 0, 4, 0, 4, 4, 0, 3, 4, 1, 2, 2, 3, 2, 0, 2, 1, 3, 0, 3, 3, 0, 1, 0, 1, 3, 2, 3, 2, 3, 2, 3, 0, 0, 3, 1, 3, 4, 2, 0, 1, 2, 3, 1, 1, 1, 2, 2, 4, 1, 0, 0, 1, 0, 2, 1, 0, 3, 4, 2, 2, 4, 0, 3, 1, 1, 2, 0, 3, 2, 4, 1, 2, 0, 4, 2, 4, 4, 3, 4, 4, 4, 2, 3, 0, 2, 2, 2, 4, 2, 2, 3, 3, 3, 1, 2, 3, 1, 0, 2, 3, 2, 1, 1, 4, 3, 1, 1, 1, 4, 1, 2, 1, 1, 3, 4, 1, 3, 2, 0, 0, 2, 1, 3, 1, 1, 2, 4, 3, 1, 2, 4, 2, 3, 4, 2, 1, 4, 3, 1, 4, 2, 4, 2, 0, 2, 1, 3, 2, 0, 1, 3, 3, 1, 2, 0, 1, 4, 4, 1, 4, 1, 3, 4, 1, 2, 2, 4, 3, 0, 4, 1, 1, 3, 1, 0, 1, 0, 4, 4, 2] pubkeycol1786 = [4, 3, 1, 3, 2, 0, 3, 0, 1, 1, 4, 1, 0, 2, 1, 2, 2, 1, 1, 4, 0, 1, 3, 1, 1, 2, 0, 2, 3, 2, 2, 1, 4, 1, 3, 1, 0, 0, 1, 1, 0, 2, 2, 4, 0, 4, 4, 1, 1, 2, 2, 4, 4, 1, 4, 3, 3, 1, 3, 0, 3, 1, 4, 3, 0, 1, 1, 0, 4, 4, 1, 0, 0, 0, 0, 3, 4, 2, 3, 3, 0, 1, 1, 4, 4, 1, 4, 1, 2, 1, 2, 0, 4, 3, 4, 1, 4, 1, 1, 0, 2, 1, 3, 4, 0, 2, 3, 3, 3, 2, 3, 1, 4, 0, 2, 1, 0, 3, 0, 2, 4, 3, 3, 2, 2, 4, 2, 0, 0, 3, 3, 3, 1, 3, 2, 3, 4, 4, 0, 3, 0, 4, 1, 3, 3, 0, 3, 1, 0, 4, 1, 1, 0, 1, 1, 3, 0, 4, 0, 4, 1, 0, 4, 2, 4, 4, 2, 2, 0, 1, 4, 3, 4, 4, 3, 2, 3, 4, 0, 2, 4, 1, 3, 4, 2, 2, 1, 1, 0, 1, 4, 3, 1, 4, 4, 1, 3, 1, 1, 1, 4, 3, 3, 3, 1, 2, 3, 4, 2, 2, 4, 0, 4, 3, 1, 1, 4, 2, 4, 4, 4, 2, 3, 4, 3, 0, 3, 2, 1, 3, 1, 4, 1, 0, 1, 0, 2, 2, 3, 4, 2, 1, 3, 2, 4, 2, 1, 4, 4, 3, 4, 4, 0, 3, 2, 4, 4, 0, 1, 1, 3, 4, 2, 4, 4, 2, 4, 0, 3, 0, 3, 1, 1, 4, 2, 1, 0, 2, 1, 0, 0, 4, 2, 2, 1, 3, 2, 0, 2, 2, 3, 4, 2, 3, 1, 0, 1, 4, 1, 0, 0, 1, 0, 3, 3, 0, 2, 3, 3, 4, 3, 4, 0, 2, 4, 0, 0, 4, 1, 3, 4, 1, 0, 1, 3, 3, 3, 2, 4, 0, 1, 2, 2, 3, 4, 1, 1, 4, 3, 3, 0, 2, 2, 4, 4, 4, 4, 4, 2, 0, 0, 2, 3, 3, 0, 0, 3, 2, 0, 4, 3, 1, 0, 0, 4, 3, 1, 0, 3, 0, 2, 1, 2, 0, 0, 3, 1, 0, 4, 2, 3, 0, 1, 3, 0, 2, 3, 3, 3, 1, 1, 0, 1, 3, 4, 0, 2, 2, 0, 2] pubkeycol1787 = [3, 1, 0, 3, 1, 0, 1, 3, 2, 4, 2, 3, 1, 3, 3, 4, 2, 2, 3, 1, 3, 2, 4, 2, 1, 4, 1, 3, 3, 4, 1, 3, 1, 4, 3, 1, 1, 1, 3, 3, 2, 3, 0, 1, 2, 4, 1, 4, 3, 2, 1, 2, 0, 4, 2, 3, 2, 2, 0, 3, 3, 4, 2, 0, 3, 3, 1, 0, 0, 3, 1, 1, 2, 1, 1, 4, 0, 2, 1, 2, 0, 2, 2, 0, 1, 4, 4, 4, 0, 4, 0, 1, 3, 0, 2, 2, 2, 1, 2, 1, 0, 0, 3, 3, 0, 3, 4, 2, 1, 4, 0, 4, 1, 3, 2, 2, 0, 2, 1, 1, 4, 1, 0, 4, 0, 0, 3, 2, 0, 0, 2, 0, 1, 4, 3, 3, 4, 1, 4, 4, 1, 2, 3, 1, 3, 4, 2, 3, 1, 4, 4, 0, 1, 4, 1, 1, 4, 4, 1, 4, 4, 0, 4, 1, 0, 0, 2, 0, 1, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 2, 4, 1, 2, 3, 1, 4, 1, 4, 0, 0, 4, 4, 2, 2, 3, 3, 3, 4, 3, 1, 1, 2, 0, 4, 3, 4, 1, 0, 3, 1, 1, 1, 1, 0, 2, 0, 2, 3, 3, 4, 1, 1, 1, 4, 3, 3, 3, 3, 1, 1, 1, 3, 2, 3, 0, 2, 2, 3, 3, 0, 1, 0, 4, 0, 0, 1, 1, 1, 3, 3, 3, 3, 0, 4, 1, 3, 2, 4, 4, 4, 4, 1, 3, 4, 3, 2, 2, 0, 3, 1, 2, 0, 0, 2, 0, 3, 1, 3, 3, 0, 0, 2, 3, 0, 0, 2, 0, 0, 0, 4, 3, 1, 0, 0, 2, 1, 3, 2, 2, 3, 1, 3, 3, 2, 2, 0, 2, 4, 3, 3, 3, 3, 2, 0, 3, 2, 3, 2, 3, 1, 0, 1, 1, 0, 2, 2, 1, 1, 3, 4, 3, 0, 2, 4, 1, 4, 3, 4, 1, 0, 4, 0, 1, 1, 0, 1, 3, 2, 0, 4, 1, 2, 4, 3, 2, 2, 2, 0, 2, 3, 0, 3, 4, 3, 4, 0, 3, 1, 4, 2, 4, 1, 4, 3, 1, 4, 4, 1, 3, 4, 4, 2, 3, 0, 3, 1, 0, 3, 3, 4, 1, 3, 2, 3, 4, 1, 2, 0, 0, 1] pubkeycol1788 = [2, 0, 3, 0, 2, 4, 2, 1, 2, 4, 1, 3, 2, 0, 4, 2, 4, 2, 3, 2, 3, 2, 3, 1, 1, 3, 2, 1, 4, 1, 4, 3, 4, 4, 2, 4, 3, 2, 1, 4, 4, 3, 3, 4, 3, 0, 1, 4, 1, 4, 1, 3, 4, 4, 4, 0, 4, 2, 2, 1, 4, 4, 2, 1, 4, 1, 0, 3, 4, 2, 1, 3, 3, 1, 2, 0, 1, 1, 4, 1, 2, 0, 0, 0, 3, 0, 3, 1, 0, 1, 1, 2, 1, 2, 3, 4, 3, 1, 0, 0, 0, 1, 4, 2, 0, 2, 2, 2, 2, 4, 1, 3, 0, 4, 1, 0, 4, 0, 1, 4, 2, 0, 3, 4, 1, 3, 3, 2, 3, 1, 3, 4, 3, 4, 1, 2, 4, 1, 0, 0, 4, 1, 2, 1, 1, 1, 4, 1, 3, 0, 0, 3, 4, 2, 1, 3, 0, 3, 3, 4, 2, 2, 4, 0, 0, 4, 3, 2, 0, 1, 0, 0, 1, 3, 0, 0, 3, 1, 1, 4, 4, 3, 0, 3, 0, 2, 4, 0, 4, 0, 3, 0, 0, 2, 3, 4, 2, 0, 2, 2, 4, 4, 4, 0, 3, 1, 1, 2, 0, 1, 2, 1, 4, 3, 2, 2, 1, 1, 0, 3, 4, 0, 2, 0, 2, 0, 1, 2, 3, 0, 1, 3, 4, 4, 1, 1, 4, 2, 0, 1, 1, 3, 1, 0, 3, 2, 1, 2, 0, 0, 4, 3, 0, 4, 3, 1, 4, 0, 4, 2, 2, 3, 2, 4, 3, 1, 2, 2, 1, 4, 3, 2, 2, 2, 3, 4, 3, 2, 4, 0, 0, 2, 3, 3, 0, 0, 4, 1, 2, 2, 0, 2, 0, 3, 1, 1, 4, 1, 4, 4, 1, 3, 3, 4, 3, 0, 1, 4, 4, 1, 2, 0, 0, 2, 2, 0, 0, 4, 2, 0, 2, 2, 3, 3, 2, 0, 0, 3, 4, 3, 2, 1, 2, 0, 0, 4, 3, 4, 1, 3, 3, 1, 3, 3, 4, 3, 1, 2, 1, 2, 2, 0, 0, 2, 4, 0, 3, 4, 0, 3, 4, 4, 2, 4, 1, 1, 1, 0, 1, 4, 4, 0, 1, 4, 3, 1, 2, 2, 1, 3, 3, 1, 4, 4, 2, 1, 4, 3, 0, 1, 3, 4, 4, 0, 3, 2, 0, 4, 0, 4] pubkeycol1789 = [3, 2, 3, 0, 2, 4, 2, 1, 4, 2, 1, 2, 2, 2, 1, 2, 4, 4, 3, 1, 0, 1, 1, 2, 3, 3, 1, 0, 4, 1, 3, 3, 1, 0, 0, 2, 1, 4, 1, 3, 4, 4, 3, 2, 0, 3, 2, 3, 2, 2, 3, 3, 3, 1, 3, 1, 4, 4, 4, 2, 1, 3, 0, 1, 1, 0, 4, 0, 3, 1, 0, 3, 3, 1, 4, 0, 0, 1, 4, 4, 4, 1, 1, 2, 3, 1, 0, 0, 3, 4, 3, 3, 0, 3, 3, 0, 2, 4, 2, 4, 4, 0, 4, 4, 0, 4, 2, 4, 4, 0, 3, 1, 4, 2, 2, 1, 1, 3, 0, 4, 0, 2, 4, 3, 1, 3, 0, 2, 2, 0, 4, 1, 3, 3, 2, 2, 3, 4, 4, 3, 1, 4, 3, 1, 3, 4, 4, 2, 4, 2, 3, 4, 4, 2, 4, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 4, 2, 0, 3, 3, 2, 4, 4, 3, 1, 1, 1, 1, 4, 2, 3, 1, 3, 0, 4, 1, 3, 0, 2, 2, 4, 1, 4, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 1, 1, 2, 2, 2, 2, 1, 2, 0, 4, 2, 0, 4, 3, 1, 4, 0, 3, 0, 2, 1, 2, 1, 0, 0, 4, 0, 0, 3, 3, 0, 2, 1, 1, 4, 2, 4, 0, 3, 4, 4, 1, 3, 2, 0, 4, 0, 3, 4, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 3, 3, 2, 3, 4, 2, 4, 3, 2, 0, 3, 0, 2, 2, 4, 1, 0, 4, 0, 1, 1, 4, 2, 0, 1, 4, 0, 1, 1, 1, 3, 4, 2, 0, 0, 0, 1, 4, 4, 2, 4, 3, 1, 3, 4, 4, 4, 2, 3, 0, 4, 1, 3, 3, 1, 1, 3, 1, 4, 2, 3, 0, 2, 0, 2, 2, 0, 3, 4, 2, 4, 1, 3, 4, 2, 3, 3, 1, 4, 2, 2, 0, 3, 0, 2, 2, 2, 0, 1, 2, 1, 1, 4, 1, 2, 1, 4, 3, 2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 4, 2, 2, 0, 1, 2, 3, 3, 2, 1, 2, 1, 3, 3, 4, 3, 2, 1, 1, 2, 4, 3, 3, 4, 1, 3, 0, 0, 0] pubkeycol1790 = [2, 2, 2, 1, 1, 1, 0, 2, 0, 4, 1, 2, 1, 0, 3, 4, 2, 2, 2, 4, 1, 2, 0, 0, 1, 4, 1, 3, 2, 2, 4, 2, 4, 1, 4, 3, 1, 4, 4, 0, 2, 4, 0, 3, 2, 4, 0, 1, 4, 1, 0, 4, 0, 4, 3, 4, 2, 3, 1, 3, 3, 0, 1, 1, 4, 2, 3, 1, 4, 3, 2, 0, 3, 1, 0, 4, 4, 1, 3, 0, 0, 1, 1, 4, 3, 0, 4, 2, 0, 0, 0, 4, 0, 2, 2, 4, 3, 0, 3, 0, 0, 4, 3, 4, 2, 3, 3, 0, 2, 4, 3, 0, 3, 4, 2, 4, 1, 1, 3, 1, 2, 4, 1, 2, 2, 4, 1, 0, 2, 0, 3, 3, 1, 2, 2, 4, 3, 2, 1, 3, 1, 0, 2, 3, 0, 1, 3, 1, 2, 2, 0, 3, 4, 3, 0, 3, 3, 3, 4, 3, 4, 3, 4, 1, 4, 2, 4, 3, 4, 2, 2, 4, 1, 4, 4, 1, 2, 4, 3, 0, 0, 0, 4, 2, 2, 1, 0, 1, 4, 3, 3, 4, 4, 3, 0, 3, 2, 3, 1, 4, 1, 0, 3, 3, 3, 2, 2, 2, 0, 3, 3, 3, 1, 0, 0, 4, 1, 1, 4, 3, 4, 1, 4, 4, 2, 2, 4, 4, 2, 3, 1, 1, 4, 3, 1, 1, 3, 0, 4, 1, 1, 2, 2, 3, 3, 0, 1, 1, 4, 3, 3, 4, 4, 0, 2, 0, 1, 3, 0, 1, 2, 0, 2, 4, 1, 2, 3, 4, 3, 0, 3, 3, 0, 1, 1, 4, 2, 2, 1, 3, 3, 0, 3, 0, 1, 2, 2, 2, 4, 4, 4, 4, 4, 1, 3, 1, 4, 0, 2, 3, 2, 1, 4, 4, 2, 2, 1, 3, 2, 2, 3, 3, 4, 1, 1, 4, 0, 4, 2, 3, 1, 1, 1, 2, 2, 4, 1, 2, 3, 4, 1, 3, 4, 4, 1, 2, 2, 3, 3, 4, 3, 3, 1, 2, 2, 2, 4, 3, 0, 1, 0, 0, 4, 4, 0, 4, 3, 4, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 3, 4, 0, 3, 1, 1, 0, 2, 3, 4, 1, 1, 3, 0, 2, 3, 3, 3, 1, 2, 4, 2, 1, 4, 1, 2, 1, 1, 1, 0] pubkeycol1791 = [1, 0, 4, 2, 3, 2, 3, 4, 0, 1, 4, 1, 1, 1, 4, 4, 4, 2, 3, 2, 0, 1, 0, 4, 1, 0, 4, 0, 1, 3, 2, 4, 2, 2, 4, 4, 0, 4, 1, 0, 4, 4, 2, 2, 2, 3, 0, 3, 0, 1, 0, 1, 0, 3, 3, 0, 0, 0, 4, 3, 2, 0, 1, 4, 1, 3, 4, 3, 4, 2, 2, 1, 2, 2, 0, 0, 4, 0, 2, 1, 4, 4, 2, 4, 0, 4, 4, 3, 3, 4, 0, 3, 1, 0, 3, 2, 0, 4, 4, 3, 2, 2, 1, 1, 4, 3, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 3, 0, 4, 3, 2, 3, 1, 4, 3, 1, 3, 3, 0, 1, 4, 1, 4, 1, 2, 0, 2, 2, 2, 0, 4, 0, 2, 1, 4, 3, 3, 1, 4, 1, 3, 1, 3, 4, 4, 3, 0, 0, 3, 4, 3, 1, 0, 0, 4, 2, 0, 1, 2, 4, 0, 0, 0, 3, 3, 2, 2, 0, 2, 2, 3, 3, 2, 1, 1, 1, 3, 3, 1, 2, 2, 4, 3, 2, 2, 0, 3, 4, 3, 4, 2, 1, 0, 1, 1, 2, 2, 4, 2, 1, 2, 0, 3, 0, 4, 3, 1, 2, 3, 0, 4, 3, 4, 3, 0, 2, 4, 3, 2, 4, 3, 2, 1, 2, 3, 2, 2, 2, 2, 4, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 1, 2, 3, 1, 2, 0, 3, 0, 0, 2, 0, 2, 2, 0, 2, 4, 3, 3, 2, 3, 2, 4, 0, 4, 0, 4, 0, 4, 0, 1, 2, 2, 2, 4, 3, 2, 3, 0, 1, 4, 1, 0, 3, 0, 2, 4, 3, 0, 2, 4, 0, 3, 3, 2, 0, 4, 3, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 4, 0, 4, 2, 0, 1, 4, 3, 3, 1, 3, 2, 2, 0, 2, 2, 2, 1, 1, 2, 4, 2, 0, 4, 2, 0, 4, 1, 4, 3, 0, 4, 3, 2, 1, 3, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 3, 4, 1, 0, 0, 4, 3, 4, 2, 2, 2, 4, 3, 3, 4, 2, 1, 4] pubkeycol1792 = [3, 3, 4, 3, 1, 1, 1, 3, 0, 2, 2, 3, 3, 4, 0, 0, 2, 0, 0, 0, 3, 2, 1, 4, 2, 1, 4, 2, 0, 0, 2, 3, 0, 0, 2, 3, 3, 2, 1, 2, 4, 2, 0, 0, 0, 1, 3, 2, 2, 1, 0, 3, 1, 1, 1, 2, 1, 2, 3, 4, 0, 0, 0, 4, 2, 0, 3, 2, 2, 4, 1, 4, 3, 1, 1, 0, 0, 1, 4, 4, 3, 2, 2, 2, 3, 1, 2, 3, 3, 0, 0, 1, 3, 0, 1, 2, 4, 4, 1, 1, 1, 2, 1, 1, 3, 0, 4, 1, 3, 4, 4, 0, 3, 2, 2, 1, 2, 3, 1, 1, 3, 2, 4, 3, 4, 4, 2, 2, 1, 4, 3, 4, 4, 0, 4, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 4, 1, 4, 4, 2, 3, 0, 0, 2, 2, 1, 3, 4, 1, 4, 2, 1, 4, 2, 3, 0, 1, 4, 2, 4, 3, 3, 1, 2, 1, 2, 4, 4, 0, 2, 3, 4, 0, 3, 3, 1, 4, 4, 2, 3, 2, 1, 4, 3, 0, 3, 4, 1, 2, 3, 2, 4, 2, 3, 2, 2, 4, 0, 1, 0, 3, 1, 1, 3, 3, 0, 0, 0, 4, 4, 2, 3, 0, 2, 4, 3, 3, 1, 3, 3, 0, 3, 1, 3, 1, 1, 0, 4, 1, 3, 4, 3, 3, 1, 3, 0, 0, 2, 3, 2, 0, 0, 3, 3, 3, 0, 0, 4, 2, 1, 3, 4, 2, 3, 4, 1, 2, 1, 2, 4, 0, 4, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 4, 3, 0, 2, 3, 4, 2, 3, 3, 0, 4, 4, 1, 3, 3, 2, 0, 3, 4, 1, 4, 4, 3, 1, 2, 3, 2, 4, 4, 4, 4, 3, 0, 1, 1, 2, 2, 1, 0, 2, 4, 0, 3, 3, 2, 4, 2, 2, 1, 4, 0, 2, 3, 4, 0, 3, 2, 3, 3, 1, 0, 0, 2, 2, 3, 1, 2, 4, 3, 3, 3, 1, 2, 0, 4, 0, 0, 1, 3, 3, 3, 2, 3, 3, 0, 1, 4, 2, 3, 4, 2, 0, 4, 0, 4, 2, 4, 2, 2, 3, 1, 2, 0, 2, 1, 1, 4, 3, 0, 2, 3, 1, 0, 4, 2, 0] pubkeycol1793 = [0, 1, 2, 0, 0, 1, 3, 4, 0, 0, 2, 3, 4, 3, 1, 4, 0, 0, 4, 3, 0, 0, 1, 0, 3, 2, 3, 4, 2, 3, 0, 4, 0, 2, 1, 2, 3, 0, 0, 1, 1, 4, 4, 0, 2, 3, 1, 1, 2, 4, 0, 0, 4, 2, 2, 4, 1, 3, 4, 3, 3, 1, 4, 1, 3, 0, 0, 3, 3, 2, 1, 0, 2, 0, 4, 0, 3, 2, 2, 3, 3, 4, 3, 0, 2, 2, 1, 3, 1, 1, 3, 3, 3, 0, 3, 3, 2, 1, 4, 4, 1, 0, 0, 4, 4, 4, 3, 2, 0, 3, 1, 1, 1, 4, 0, 0, 3, 1, 1, 3, 4, 3, 4, 1, 2, 1, 2, 0, 4, 3, 0, 4, 2, 3, 4, 2, 3, 0, 3, 4, 2, 3, 2, 0, 3, 1, 0, 0, 3, 1, 1, 4, 3, 1, 3, 4, 1, 4, 4, 3, 1, 0, 3, 3, 4, 4, 0, 4, 4, 3, 3, 3, 3, 2, 4, 3, 4, 0, 3, 2, 3, 4, 3, 4, 3, 3, 4, 3, 2, 2, 3, 0, 4, 3, 1, 2, 0, 4, 3, 2, 3, 3, 1, 3, 4, 3, 4, 4, 3, 1, 0, 4, 1, 1, 3, 1, 2, 3, 1, 4, 2, 3, 4, 3, 1, 4, 2, 0, 1, 4, 0, 3, 0, 2, 0, 3, 4, 3, 1, 3, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 4, 1, 1, 3, 2, 1, 0, 4, 3, 0, 3, 3, 2, 3, 2, 0, 1, 4, 4, 3, 0, 4, 1, 1, 0, 1, 0, 2, 4, 3, 4, 2, 4, 1, 4, 3, 0, 2, 3, 4, 0, 0, 0, 2, 3, 1, 3, 0, 3, 2, 3, 1, 4, 0, 4, 2, 3, 4, 3, 0, 1, 0, 1, 4, 0, 2, 1, 1, 2, 3, 3, 3, 1, 2, 0, 0, 4, 4, 2, 3, 2, 3, 3, 2, 3, 0, 4, 3, 4, 3, 3, 0, 4, 1, 0, 1, 1, 4, 4, 2, 0, 1, 1, 4, 4, 0, 1, 2, 1, 4, 1, 4, 2, 2, 3, 3, 3, 1, 2, 2, 3, 4, 0, 2, 4, 3, 3, 4, 4, 3, 4, 0, 1, 0, 2, 3, 1, 0, 1, 0, 0, 2, 0, 3, 0, 0, 1, 3] pubkeycol1794 = [0, 1, 2, 4, 0, 4, 4, 2, 0, 4, 4, 1, 4, 2, 1, 2, 0, 4, 0, 2, 2, 4, 4, 0, 4, 2, 4, 1, 4, 3, 2, 3, 4, 2, 3, 3, 1, 2, 0, 2, 2, 1, 4, 0, 4, 3, 0, 0, 0, 0, 1, 2, 1, 0, 4, 1, 4, 2, 1, 4, 3, 1, 3, 2, 2, 4, 3, 1, 4, 3, 1, 4, 3, 0, 1, 0, 3, 0, 1, 1, 1, 0, 0, 2, 1, 1, 3, 2, 0, 1, 2, 1, 0, 1, 4, 3, 2, 0, 1, 3, 2, 0, 1, 3, 3, 0, 3, 3, 0, 1, 3, 0, 4, 2, 3, 1, 2, 1, 1, 3, 1, 4, 1, 1, 4, 4, 3, 0, 3, 1, 3, 2, 4, 1, 0, 0, 2, 3, 4, 0, 0, 0, 2, 2, 4, 0, 1, 1, 0, 4, 2, 0, 2, 1, 2, 0, 0, 3, 4, 1, 0, 3, 4, 4, 1, 1, 4, 3, 3, 4, 0, 0, 4, 0, 3, 1, 4, 1, 3, 2, 4, 2, 2, 3, 0, 3, 1, 4, 4, 3, 4, 2, 2, 0, 3, 3, 4, 2, 4, 4, 4, 2, 4, 0, 0, 2, 1, 3, 1, 2, 3, 1, 4, 4, 0, 1, 0, 4, 3, 1, 3, 1, 0, 3, 0, 3, 1, 4, 1, 1, 2, 2, 4, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 3, 4, 3, 2, 3, 3, 0, 0, 1, 2, 0, 4, 2, 0, 1, 3, 1, 0, 2, 4, 1, 4, 2, 4, 3, 0, 4, 4, 0, 1, 0, 0, 3, 1, 4, 4, 2, 0, 4, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 3, 3, 1, 0, 2, 3, 3, 3, 3, 0, 2, 4, 2, 3, 1, 2, 2, 2, 3, 3, 1, 0, 4, 2, 0, 4, 3, 3, 2, 4, 2, 2, 3, 3, 4, 2, 0, 1, 0, 4, 0, 3, 0, 3, 1, 3, 0, 3, 3, 3, 4, 2, 0, 4, 0, 4, 1, 3, 3, 1, 1, 0, 4, 2, 0, 3, 2, 3, 3, 2, 0, 2, 3, 3, 0, 3, 3, 1, 1, 3, 4, 2, 2, 4, 0, 3, 2, 4, 1, 1, 0, 4, 1, 4, 0, 3, 2, 3, 1, 3, 2, 2, 1, 4, 4, 0, 0] pubkeycol1795 = [4, 3, 3, 4, 4, 4, 0, 3, 2, 4, 3, 4, 4, 3, 2, 1, 3, 3, 1, 2, 4, 1, 0, 2, 2, 2, 0, 3, 2, 0, 2, 3, 0, 0, 1, 2, 3, 0, 1, 3, 2, 1, 1, 3, 3, 1, 1, 4, 3, 2, 0, 4, 1, 4, 0, 4, 1, 3, 2, 2, 3, 1, 1, 3, 3, 1, 4, 0, 3, 4, 1, 0, 2, 1, 1, 3, 3, 1, 1, 1, 0, 4, 3, 0, 1, 0, 0, 2, 0, 4, 1, 2, 0, 3, 0, 3, 2, 2, 1, 2, 1, 3, 1, 3, 0, 1, 1, 0, 4, 4, 3, 3, 0, 1, 1, 0, 4, 2, 4, 0, 4, 3, 1, 0, 0, 3, 1, 3, 4, 4, 4, 4, 2, 3, 1, 4, 2, 2, 0, 3, 1, 4, 0, 0, 2, 1, 1, 2, 2, 0, 1, 4, 3, 4, 1, 4, 3, 3, 3, 2, 0, 4, 1, 1, 0, 4, 1, 0, 0, 1, 4, 3, 0, 0, 2, 3, 1, 0, 3, 3, 4, 4, 3, 4, 0, 2, 4, 4, 0, 2, 0, 0, 1, 3, 1, 0, 1, 1, 0, 3, 3, 2, 3, 2, 3, 1, 4, 0, 3, 0, 2, 4, 0, 2, 4, 2, 4, 1, 4, 3, 2, 2, 1, 4, 4, 2, 4, 2, 3, 2, 2, 3, 3, 3, 4, 3, 3, 1, 2, 0, 4, 2, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 4, 0, 2, 3, 0, 4, 2, 4, 4, 3, 3, 1, 2, 0, 3, 0, 4, 4, 2, 3, 4, 0, 0, 1, 0, 1, 0, 0, 4, 3, 0, 3, 0, 0, 2, 2, 2, 1, 1, 4, 1, 0, 4, 0, 4, 2, 0, 3, 0, 3, 4, 4, 3, 4, 1, 2, 3, 3, 3, 0, 0, 3, 3, 2, 0, 1, 4, 3, 4, 3, 0, 1, 4, 1, 3, 3, 3, 4, 1, 2, 2, 2, 3, 3, 2, 4, 4, 0, 2, 2, 3, 2, 0, 0, 2, 2, 3, 2, 2, 1, 4, 1, 2, 4, 4, 3, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 4, 4, 2, 0, 4, 3, 2, 4, 3, 1, 0, 4, 4, 1, 3, 1, 4, 3, 1, 1, 3, 2, 0, 0, 2, 1] pubkeycol1796 = [2, 2, 3, 1, 0, 0, 3, 2, 0, 2, 0, 4, 4, 1, 1, 2, 0, 0, 3, 4, 3, 1, 1, 2, 0, 3, 3, 0, 3, 1, 2, 2, 2, 4, 3, 3, 3, 1, 2, 2, 3, 2, 0, 1, 3, 0, 2, 4, 2, 2, 1, 2, 1, 1, 0, 4, 1, 3, 1, 3, 3, 2, 1, 2, 2, 4, 3, 0, 1, 1, 2, 1, 1, 3, 2, 1, 0, 3, 3, 3, 1, 2, 1, 4, 1, 3, 2, 4, 0, 1, 1, 2, 1, 3, 3, 2, 1, 3, 4, 0, 1, 2, 3, 2, 1, 3, 2, 0, 4, 1, 1, 0, 2, 4, 2, 4, 0, 0, 4, 2, 0, 3, 0, 1, 1, 4, 3, 3, 1, 0, 4, 0, 4, 4, 0, 1, 2, 4, 3, 4, 4, 3, 0, 3, 2, 0, 4, 1, 2, 3, 0, 2, 0, 3, 0, 2, 1, 3, 2, 3, 4, 2, 1, 0, 4, 4, 1, 2, 4, 3, 0, 0, 3, 2, 4, 3, 3, 0, 0, 1, 4, 0, 0, 4, 2, 0, 0, 0, 2, 1, 2, 1, 4, 4, 4, 2, 1, 0, 1, 3, 0, 2, 4, 0, 0, 2, 2, 4, 0, 1, 4, 1, 2, 2, 2, 4, 1, 1, 4, 0, 3, 0, 0, 2, 2, 3, 4, 4, 1, 1, 2, 3, 4, 4, 1, 4, 2, 1, 3, 2, 0, 4, 0, 4, 0, 4, 4, 0, 3, 1, 2, 4, 2, 0, 3, 2, 0, 4, 0, 2, 1, 3, 3, 0, 2, 0, 2, 4, 4, 3, 0, 4, 3, 2, 0, 4, 0, 3, 1, 1, 1, 0, 3, 3, 3, 4, 4, 0, 3, 2, 4, 3, 3, 2, 3, 4, 0, 0, 1, 4, 4, 1, 3, 0, 1, 1, 4, 0, 2, 4, 0, 0, 2, 2, 2, 3, 3, 1, 4, 2, 1, 3, 1, 1, 3, 1, 0, 2, 3, 1, 4, 0, 2, 1, 3, 4, 3, 0, 2, 2, 4, 0, 0, 3, 0, 4, 0, 4, 3, 4, 1, 2, 0, 2, 0, 4, 1, 1, 0, 1, 1, 4, 3, 4, 1, 3, 1, 0, 0, 4, 0, 0, 4, 2, 1, 1, 0, 1, 3, 1, 3, 4, 1, 4, 4, 3, 4, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 4, 0, 3] pubkeycol1797 = [3, 4, 3, 1, 0, 2, 0, 2, 1, 1, 2, 3, 3, 3, 2, 4, 2, 3, 0, 2, 2, 4, 4, 4, 2, 0, 3, 2, 2, 3, 4, 0, 0, 0, 1, 2, 4, 0, 4, 0, 2, 1, 1, 0, 3, 4, 3, 4, 3, 1, 1, 2, 4, 3, 0, 2, 2, 0, 1, 3, 3, 4, 0, 2, 2, 3, 4, 3, 3, 3, 1, 1, 1, 4, 1, 4, 3, 0, 1, 0, 4, 2, 2, 0, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 4, 0, 4, 1, 3, 2, 3, 2, 0, 4, 3, 0, 1, 3, 4, 3, 3, 3, 1, 2, 3, 2, 1, 3, 0, 0, 2, 2, 1, 0, 1, 3, 0, 1, 2, 0, 4, 3, 2, 0, 0, 1, 0, 4, 3, 0, 4, 1, 0, 3, 4, 0, 3, 0, 3, 3, 2, 2, 0, 1, 2, 4, 3, 2, 2, 4, 0, 4, 4, 3, 4, 0, 1, 4, 0, 2, 4, 2, 3, 0, 1, 4, 0, 2, 4, 1, 1, 3, 2, 1, 3, 3, 1, 1, 4, 4, 0, 3, 1, 1, 3, 2, 1, 4, 0, 1, 2, 0, 3, 0, 4, 0, 1, 1, 2, 1, 4, 0, 1, 3, 3, 3, 4, 0, 3, 4, 2, 0, 3, 1, 2, 0, 2, 1, 0, 3, 0, 0, 0, 4, 4, 2, 0, 4, 4, 0, 4, 0, 0, 3, 4, 3, 3, 4, 4, 1, 0, 0, 0, 4, 2, 2, 3, 3, 1, 1, 1, 0, 1, 0, 0, 0, 1, 3, 0, 2, 2, 1, 0, 2, 4, 4, 4, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 0, 3, 1, 0, 3, 0, 3, 1, 1, 1, 0, 3, 4, 4, 0, 3, 2, 3, 2, 3, 3, 4, 0, 4, 1, 0, 0, 1, 2, 2, 3, 4, 0, 4, 3, 0, 2, 1, 2, 3, 3, 2, 0, 4, 3, 2, 4, 2, 0, 0, 4, 2, 4, 1, 1, 4, 3, 1, 1, 1, 0, 2, 3, 4, 1, 0, 3, 2, 0, 3, 0, 4, 4, 0, 2, 1, 3, 4, 0, 0, 4, 2, 4, 0, 0, 2, 1, 2, 4, 1, 4, 4, 1, 1, 2, 4, 2, 3, 4, 4, 2, 0, 3, 4, 0, 2, 1, 2, 2, 2, 3, 1, 3] pubkeycol1798 = [1, 3, 3, 1, 3, 1, 2, 0, 0, 0, 3, 3, 0, 4, 0, 4, 2, 4, 4, 1, 1, 4, 4, 4, 3, 0, 1, 4, 3, 0, 2, 0, 0, 2, 4, 0, 0, 3, 3, 2, 2, 4, 2, 0, 2, 3, 3, 2, 0, 2, 1, 2, 4, 4, 2, 1, 1, 3, 3, 1, 4, 0, 1, 1, 1, 3, 4, 3, 0, 2, 1, 3, 1, 4, 3, 2, 1, 1, 4, 3, 1, 2, 4, 1, 3, 0, 3, 2, 4, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 1, 1, 2, 3, 3, 2, 3, 2, 1, 4, 3, 2, 3, 0, 0, 0, 4, 4, 2, 2, 2, 0, 2, 4, 4, 3, 4, 0, 3, 1, 3, 0, 3, 0, 2, 0, 1, 2, 3, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 3, 4, 4, 1, 3, 4, 4, 0, 2, 4, 2, 0, 3, 4, 1, 2, 1, 1, 4, 4, 4, 4, 4, 4, 3, 1, 4, 4, 3, 0, 2, 3, 1, 2, 4, 2, 2, 1, 0, 4, 2, 0, 4, 0, 4, 3, 2, 0, 4, 4, 2, 3, 2, 2, 1, 1, 4, 0, 2, 3, 4, 2, 4, 2, 2, 4, 4, 1, 4, 1, 3, 4, 0, 1, 3, 0, 1, 0, 3, 3, 1, 1, 4, 3, 0, 4, 2, 0, 4, 4, 4, 1, 1, 1, 0, 3, 4, 4, 4, 1, 2, 4, 3, 4, 0, 1, 0, 4, 1, 0, 2, 3, 3, 1, 3, 3, 4, 3, 3, 3, 2, 2, 2, 3, 1, 2, 3, 3, 4, 3, 3, 0, 1, 2, 2, 2, 4, 3, 2, 2, 3, 4, 1, 1, 4, 3, 3, 1, 4, 3, 1, 4, 4, 3, 2, 4, 2, 4, 4, 1, 1, 4, 3, 0, 4, 0, 0, 3, 3, 4, 0, 2, 3, 2, 2, 4, 1, 3, 1, 4, 0, 3, 0, 2, 0, 2, 3, 1, 3, 0, 2, 4, 1, 1, 2, 0, 0, 1, 3, 1, 3, 2, 3, 2, 1, 3, 3, 1, 1, 2, 4, 1, 4, 3, 2, 0, 0, 0, 1, 2, 4, 0, 3, 3, 2, 4, 0, 4, 4, 4, 2, 3, 0, 1, 0, 1, 4, 2, 3, 1, 4, 3, 3, 0, 4, 3, 1, 1] pubkeycol1799 = [3, 3, 4, 0, 2, 0, 4, 1, 0, 4, 4, 3, 2, 4, 2, 0, 3, 2, 3, 4, 3, 1, 2, 0, 3, 4, 1, 3, 4, 2, 2, 1, 4, 1, 1, 3, 4, 1, 1, 3, 1, 2, 0, 2, 3, 3, 2, 4, 3, 2, 3, 3, 3, 0, 4, 2, 1, 3, 4, 0, 2, 4, 0, 3, 3, 3, 2, 1, 3, 4, 0, 4, 1, 3, 2, 0, 2, 1, 1, 4, 2, 4, 3, 2, 0, 0, 2, 2, 2, 1, 3, 3, 1, 0, 3, 2, 0, 4, 4, 2, 3, 1, 3, 0, 0, 4, 4, 1, 4, 2, 4, 3, 4, 3, 1, 0, 0, 3, 3, 3, 0, 2, 1, 0, 0, 4, 1, 3, 0, 2, 3, 3, 0, 3, 2, 0, 0, 2, 2, 3, 4, 3, 4, 3, 4, 1, 4, 2, 4, 1, 1, 2, 4, 2, 3, 1, 3, 3, 1, 4, 0, 4, 4, 0, 1, 3, 0, 2, 2, 3, 1, 2, 0, 2, 3, 2, 3, 3, 0, 2, 3, 4, 0, 3, 4, 2, 0, 4, 2, 4, 3, 4, 2, 3, 3, 2, 3, 2, 3, 4, 4, 0, 3, 4, 2, 3, 1, 2, 1, 1, 4, 1, 1, 1, 4, 1, 4, 0, 4, 1, 2, 0, 0, 3, 2, 4, 0, 3, 2, 2, 3, 3, 2, 3, 0, 0, 1, 2, 0, 1, 0, 4, 3, 0, 2, 3, 0, 2, 1, 0, 0, 0, 0, 2, 3, 4, 2, 2, 1, 1, 4, 3, 2, 3, 2, 0, 3, 0, 2, 3, 1, 0, 1, 1, 3, 0, 3, 4, 2, 2, 1, 3, 1, 0, 2, 1, 0, 2, 1, 4, 2, 1, 3, 1, 0, 2, 3, 0, 4, 1, 1, 4, 3, 2, 1, 0, 1, 1, 4, 1, 2, 1, 3, 1, 1, 4, 1, 3, 4, 0, 2, 1, 1, 0, 1, 1, 0, 4, 1, 2, 1, 2, 0, 3, 0, 3, 3, 0, 2, 2, 1, 3, 4, 1, 1, 2, 4, 2, 3, 4, 2, 4, 2, 1, 2, 1, 0, 0, 2, 4, 0, 1, 1, 1, 0, 2, 1, 4, 4, 4, 1, 2, 3, 0, 4, 2, 3, 2, 1, 1, 3, 1, 2, 1, 3, 3, 4, 0, 4, 1, 0, 0, 4, 1, 4, 0, 3, 1, 1, 3] pubkeycol1800 = [0, 0, 0, 0, 1, 1, 3, 0, 1, 0, 0, 1, 2, 3, 3, 4, 4, 0, 2, 4, 0, 3, 4, 1, 1, 4, 0, 3, 4, 0, 2, 0, 2, 2, 4, 2, 0, 1, 3, 4, 0, 2, 3, 1, 1, 3, 3, 1, 2, 1, 3, 3, 2, 0, 0, 0, 0, 2, 1, 1, 2, 3, 3, 4, 0, 0, 4, 3, 2, 0, 0, 4, 4, 2, 3, 0, 1, 3, 1, 2, 0, 3, 2, 1, 2, 0, 0, 2, 4, 1, 2, 1, 1, 2, 4, 2, 2, 1, 1, 3, 4, 1, 0, 1, 2, 2, 0, 2, 4, 2, 1, 4, 1, 1, 3, 4, 3, 1, 1, 4, 4, 3, 2, 0, 0, 1, 1, 2, 2, 4, 4, 1, 4, 1, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 3, 0, 2, 1, 4, 3, 1, 3, 1, 2, 0, 4, 0, 0, 3, 1, 4, 0, 2, 1, 4, 1, 4, 0, 0, 3, 4, 0, 2, 1, 1, 3, 2, 4, 4, 4, 3, 0, 0, 2, 4, 4, 2, 3, 3, 1, 2, 4, 4, 4, 1, 1, 1, 3, 3, 3, 2, 2, 0, 1, 4, 2, 3, 0, 0, 1, 1, 3, 0, 4, 0, 0, 1, 2, 4, 1, 2, 1, 1, 4, 0, 2, 4, 4, 1, 0, 4, 4, 3, 2, 2, 1, 0, 1, 0, 1, 0, 2, 4, 3, 1, 3, 4, 2, 1, 0, 1, 4, 2, 2, 0, 0, 2, 4, 2, 0, 1, 2, 2, 1, 2, 1, 4, 4, 1, 2, 0, 2, 2, 1, 4, 1, 3, 1, 0, 2, 4, 4, 3, 2, 3, 4, 4, 3, 0, 0, 1, 4, 4, 2, 4, 4, 0, 4, 1, 1, 2, 0, 2, 0, 0, 4, 3, 1, 3, 3, 2, 1, 3, 4, 3, 4, 0, 3, 2, 1, 0, 1, 4, 3, 1, 3, 1, 2, 3, 0, 3, 2, 1, 2, 3, 4, 4, 2, 3, 1, 1, 3, 4, 4, 4, 3, 4, 1, 4, 4, 0, 0, 3, 0, 0, 2, 4, 1, 4, 4, 0, 4, 0, 4, 4, 2, 3, 2, 3, 1, 2, 4, 1, 0, 3, 0, 2, 0, 4, 2, 4, 0, 2, 0, 3, 3, 4, 4, 2, 4, 1, 4, 2, 1, 4, 4, 3, 2, 3, 2] pubkeycol1801 = [2, 1, 1, 3, 3, 2, 4, 1, 4, 4, 3, 3, 1, 0, 3, 3, 0, 0, 4, 4, 3, 1, 1, 4, 1, 0, 0, 3, 0, 4, 3, 0, 2, 4, 3, 4, 1, 0, 0, 2, 4, 4, 3, 2, 1, 4, 2, 2, 3, 0, 1, 3, 4, 4, 4, 1, 3, 2, 4, 0, 3, 2, 4, 4, 0, 1, 0, 4, 1, 2, 2, 0, 4, 1, 0, 0, 1, 2, 2, 2, 0, 3, 2, 4, 3, 1, 1, 3, 1, 2, 0, 0, 2, 4, 3, 4, 1, 1, 0, 0, 2, 2, 2, 0, 3, 2, 1, 4, 3, 3, 3, 1, 1, 1, 0, 0, 0, 1, 4, 0, 3, 0, 3, 2, 3, 0, 1, 4, 1, 4, 2, 1, 4, 1, 2, 2, 4, 4, 2, 3, 2, 4, 4, 0, 0, 2, 0, 2, 4, 3, 1, 0, 4, 2, 4, 3, 1, 3, 1, 1, 1, 3, 1, 3, 4, 3, 3, 2, 3, 4, 3, 1, 1, 3, 0, 1, 4, 2, 4, 2, 3, 1, 3, 3, 4, 3, 1, 0, 3, 4, 0, 3, 0, 3, 1, 0, 0, 1, 3, 4, 0, 4, 4, 0, 3, 0, 1, 4, 4, 3, 4, 2, 0, 0, 3, 0, 1, 0, 3, 4, 0, 0, 0, 2, 2, 3, 0, 3, 4, 1, 0, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 4, 0, 2, 1, 1, 4, 2, 1, 3, 0, 4, 3, 2, 0, 2, 1, 1, 1, 0, 2, 4, 0, 1, 0, 1, 4, 1, 1, 4, 1, 2, 2, 1, 1, 0, 1, 2, 3, 3, 0, 2, 1, 3, 4, 0, 2, 0, 4, 2, 4, 2, 4, 3, 4, 1, 4, 2, 0, 1, 2, 0, 0, 4, 3, 4, 3, 3, 4, 0, 1, 0, 2, 4, 3, 3, 0, 1, 2, 0, 4, 4, 4, 3, 2, 3, 4, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 3, 1, 4, 2, 0, 1, 1, 4, 0, 1, 3, 0, 4, 0, 4, 0, 4, 2, 0, 0, 3, 3, 1, 3, 1, 2, 1, 4, 4, 4, 2, 2, 4, 4, 4, 3, 4, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 4, 3, 3, 1, 0, 4, 1, 4, 1, 3, 2, 4] pubkeycol1802 = [2, 3, 1, 1, 3, 3, 1, 2, 0, 0, 2, 2, 1, 2, 0, 4, 0, 3, 4, 2, 4, 0, 0, 3, 1, 1, 3, 2, 1, 1, 0, 3, 1, 4, 0, 4, 4, 4, 0, 3, 3, 2, 3, 2, 4, 3, 0, 3, 0, 1, 1, 4, 4, 1, 2, 3, 2, 2, 2, 4, 0, 2, 0, 3, 4, 3, 2, 0, 4, 0, 3, 2, 1, 4, 0, 2, 2, 4, 1, 3, 3, 2, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 3, 2, 1, 1, 1, 0, 2, 1, 3, 4, 2, 4, 0, 0, 4, 2, 4, 1, 2, 3, 1, 0, 0, 3, 4, 0, 1, 2, 0, 0, 1, 3, 2, 2, 4, 0, 4, 0, 4, 4, 2, 4, 4, 4, 3, 2, 3, 3, 1, 4, 1, 0, 1, 0, 4, 0, 1, 2, 4, 3, 3, 4, 0, 0, 1, 0, 2, 2, 1, 1, 3, 1, 1, 0, 3, 1, 2, 3, 2, 0, 3, 1, 2, 0, 2, 4, 1, 4, 0, 4, 4, 1, 1, 4, 1, 1, 2, 2, 0, 3, 4, 1, 3, 4, 1, 2, 4, 4, 2, 3, 3, 0, 4, 3, 1, 2, 2, 4, 3, 3, 1, 3, 2, 2, 1, 1, 4, 3, 1, 4, 3, 4, 3, 1, 3, 0, 2, 3, 4, 1, 2, 3, 3, 2, 2, 3, 0, 2, 2, 3, 4, 3, 4, 1, 3, 0, 2, 2, 0, 0, 3, 4, 3, 0, 2, 0, 4, 1, 4, 0, 1, 1, 4, 4, 4, 2, 3, 2, 1, 1, 0, 3, 3, 2, 1, 3, 1, 1, 2, 0, 0, 1, 3, 4, 1, 1, 0, 2, 3, 2, 0, 4, 1, 2, 1, 4, 0, 4, 4, 1, 4, 3, 2, 2, 3, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 4, 1, 3, 4, 0, 2, 1, 0, 1, 4, 2, 2, 2, 2, 2, 0, 2, 4, 2, 0, 4, 1, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 3, 3, 0, 2, 0, 4, 2, 2, 2, 1, 2, 4, 0, 4, 4, 4, 2, 2, 3, 0, 2, 3, 1, 0, 4, 1, 1, 4, 4, 4, 3, 4, 2, 3, 3, 3, 4, 4, 1, 2, 4, 2, 2, 3, 0, 0, 4, 4, 0, 0, 4] pubkeycol1803 = [4, 0, 3, 0, 0, 3, 4, 4, 3, 2, 3, 0, 3, 2, 1, 1, 3, 4, 2, 3, 3, 0, 1, 4, 1, 2, 0, 2, 1, 0, 2, 2, 4, 3, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 3, 1, 1, 0, 4, 3, 0, 3, 1, 3, 1, 1, 1, 1, 3, 4, 1, 2, 3, 4, 0, 0, 1, 1, 1, 3, 1, 2, 4, 1, 2, 1, 0, 1, 4, 4, 3, 1, 0, 0, 0, 3, 1, 3, 3, 1, 3, 3, 3, 4, 3, 3, 4, 1, 2, 3, 3, 3, 4, 2, 3, 2, 4, 0, 4, 3, 0, 3, 3, 3, 4, 3, 1, 0, 1, 0, 0, 1, 1, 1, 4, 4, 4, 4, 0, 2, 3, 4, 1, 4, 4, 3, 2, 3, 4, 2, 2, 0, 3, 4, 4, 1, 4, 4, 2, 0, 2, 0, 0, 4, 1, 1, 4, 1, 1, 2, 2, 4, 3, 3, 2, 0, 3, 1, 0, 4, 2, 4, 2, 4, 0, 0, 3, 0, 4, 4, 0, 0, 4, 0, 3, 0, 1, 3, 4, 3, 0, 3, 4, 2, 4, 3, 2, 4, 1, 2, 4, 3, 4, 1, 1, 3, 4, 3, 4, 1, 3, 4, 4, 0, 1, 3, 2, 0, 1, 3, 3, 4, 1, 3, 4, 3, 2, 1, 2, 4, 3, 0, 3, 3, 2, 3, 3, 1, 3, 0, 1, 4, 2, 0, 4, 0, 4, 3, 0, 3, 4, 1, 0, 3, 3, 1, 2, 1, 4, 0, 4, 4, 3, 2, 1, 3, 3, 0, 1, 2, 3, 1, 0, 4, 4, 4, 3, 4, 4, 0, 3, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 4, 1, 2, 0, 0, 2, 2, 0, 4, 3, 4, 4, 0, 4, 3, 3, 3, 3, 4, 0, 2, 0, 4, 4, 3, 0, 0, 2, 2, 4, 0, 1, 0, 0, 3, 1, 1, 0, 4, 2, 3, 2, 4, 4, 1, 2, 1, 3, 2, 0, 4, 0, 1, 4, 1, 2, 1, 3, 4, 1, 1, 0, 0, 4, 1, 1, 4, 3, 2, 3, 3, 2, 4, 4, 2, 1, 2, 2, 4, 0, 1, 0, 2, 3, 1, 3, 2, 2, 3, 2, 4, 0, 3, 3, 3, 2, 4, 4, 0, 1, 1, 0, 4, 3] pubkeycol1804 = [3, 2, 1, 2, 0, 1, 0, 1, 2, 4, 2, 0, 3, 4, 3, 1, 3, 4, 4, 1, 0, 4, 2, 1, 0, 1, 2, 1, 3, 4, 1, 4, 3, 4, 0, 4, 2, 2, 4, 1, 4, 2, 1, 4, 1, 4, 0, 2, 2, 4, 1, 1, 1, 1, 2, 1, 0, 0, 4, 1, 1, 4, 4, 2, 3, 0, 2, 3, 0, 3, 1, 2, 1, 1, 0, 3, 2, 0, 3, 2, 3, 3, 0, 3, 3, 2, 2, 4, 3, 3, 3, 3, 4, 0, 0, 2, 1, 0, 3, 3, 0, 2, 3, 4, 1, 3, 4, 4, 0, 1, 1, 2, 0, 2, 2, 3, 3, 0, 3, 2, 1, 2, 4, 4, 0, 4, 1, 0, 0, 4, 2, 0, 0, 3, 0, 2, 4, 2, 1, 1, 3, 1, 1, 2, 0, 4, 3, 0, 1, 4, 4, 4, 3, 4, 1, 0, 2, 3, 1, 4, 2, 4, 0, 2, 2, 1, 1, 4, 3, 0, 0, 2, 1, 2, 4, 1, 4, 3, 1, 3, 1, 4, 4, 0, 0, 0, 3, 3, 4, 4, 3, 3, 0, 0, 2, 4, 0, 2, 2, 3, 1, 0, 3, 3, 0, 3, 2, 3, 2, 1, 2, 2, 2, 2, 3, 0, 0, 3, 4, 3, 3, 4, 3, 4, 1, 0, 1, 3, 0, 4, 2, 0, 3, 4, 3, 3, 4, 1, 3, 3, 4, 3, 3, 1, 0, 2, 0, 0, 2, 3, 2, 3, 4, 1, 2, 4, 0, 4, 2, 4, 1, 3, 0, 1, 2, 2, 2, 4, 3, 0, 1, 0, 0, 1, 2, 4, 3, 2, 1, 1, 2, 4, 2, 3, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 3, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 3, 0, 1, 2, 0, 2, 1, 4, 3, 4, 3, 4, 1, 2, 3, 2, 0, 3, 1, 3, 0, 4, 4, 2, 2, 0, 1, 2, 2, 3, 0, 4, 2, 4, 4, 2, 3, 2, 1, 1, 4, 3, 0, 3, 4, 0, 4, 2, 1, 4, 3, 4, 3, 0, 4, 4, 0, 1, 4, 1, 1, 4, 3, 3, 2, 1, 2, 3, 0, 2, 3, 2, 4, 1, 3, 3, 0, 3, 1, 0, 3, 0, 4, 3, 4, 2, 4, 2, 4, 0] pubkeycol1805 = [4, 3, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 4, 1, 1, 1, 4, 0, 0, 4, 4, 0, 3, 2, 1, 4, 2, 4, 1, 0, 2, 1, 3, 2, 1, 3, 3, 2, 0, 4, 3, 4, 2, 0, 1, 1, 4, 4, 2, 4, 2, 3, 2, 1, 3, 4, 1, 4, 1, 2, 4, 2, 0, 3, 4, 4, 4, 1, 4, 0, 1, 2, 4, 0, 0, 4, 2, 1, 4, 0, 2, 2, 4, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 3, 3, 3, 4, 1, 2, 3, 3, 0, 1, 2, 2, 3, 0, 3, 0, 1, 1, 1, 0, 2, 2, 1, 4, 3, 1, 2, 3, 0, 3, 2, 1, 2, 0, 4, 4, 1, 1, 2, 4, 1, 0, 2, 4, 2, 1, 0, 1, 0, 3, 3, 1, 3, 0, 2, 1, 1, 4, 3, 2, 4, 3, 1, 3, 1, 0, 3, 4, 3, 1, 4, 2, 4, 2, 3, 2, 0, 4, 3, 0, 1, 1, 3, 0, 0, 1, 2, 1, 3, 0, 2, 2, 2, 2, 2, 4, 2, 1, 0, 4, 2, 0, 3, 4, 2, 1, 1, 1, 0, 2, 3, 0, 0, 2, 0, 2, 1, 2, 1, 4, 3, 2, 4, 3, 4, 4, 2, 3, 2, 2, 4, 4, 2, 0, 2, 3, 0, 3, 0, 3, 4, 1, 2, 1, 1, 4, 4, 0, 0, 4, 2, 3, 0, 4, 3, 1, 3, 1, 2, 0, 0, 4, 0, 0, 4, 3, 2, 2, 2, 2, 1, 4, 0, 2, 4, 1, 0, 2, 1, 2, 4, 2, 1, 2, 0, 0, 4, 0, 1, 3, 2, 4, 0, 1, 3, 4, 0, 4, 0, 2, 3, 4, 1, 2, 3, 3, 3, 4, 1, 1, 2, 1, 0, 0, 4, 1, 2, 2, 4, 4, 4, 1, 0, 3, 2, 4, 3, 0, 4, 0, 4, 3, 1, 1, 3, 4, 4, 3, 2, 2, 3, 2, 0, 3, 3, 0, 0, 1, 2, 0, 3, 1, 3, 4, 1, 4, 1, 3, 1, 3, 2, 4, 1, 3, 0, 0, 0, 2, 2, 1, 1, 0, 3, 0, 1, 0, 1, 2, 2, 0, 2, 1, 4, 1, 3, 0, 1, 0, 3, 0, 4, 3, 0, 3, 2, 2, 0, 4, 0, 3, 1, 3, 2, 2, 0] pubkeycol1806 = [3, 3, 0, 1, 2, 4, 1, 2, 3, 1, 1, 1, 2, 1, 4, 4, 1, 0, 4, 2, 4, 3, 0, 0, 4, 0, 3, 0, 3, 2, 4, 4, 3, 1, 4, 0, 2, 4, 2, 4, 4, 2, 4, 0, 0, 0, 0, 0, 2, 2, 0, 4, 0, 1, 3, 1, 1, 1, 1, 2, 1, 2, 1, 2, 3, 4, 4, 4, 3, 2, 3, 3, 1, 3, 2, 1, 1, 4, 1, 1, 1, 3, 3, 4, 4, 3, 1, 0, 2, 0, 0, 2, 4, 4, 1, 0, 0, 1, 3, 0, 1, 1, 2, 0, 4, 1, 2, 1, 3, 1, 1, 0, 0, 1, 0, 2, 3, 0, 0, 3, 1, 1, 3, 4, 2, 0, 3, 1, 4, 2, 4, 0, 2, 1, 1, 2, 3, 3, 4, 4, 1, 1, 0, 4, 3, 1, 0, 0, 0, 3, 4, 0, 0, 4, 4, 4, 4, 3, 3, 2, 3, 2, 4, 0, 4, 2, 0, 3, 0, 0, 2, 4, 0, 1, 1, 2, 4, 1, 4, 1, 4, 2, 0, 1, 4, 4, 1, 4, 4, 4, 2, 4, 1, 2, 3, 4, 4, 2, 4, 1, 1, 2, 1, 3, 1, 0, 3, 1, 4, 2, 1, 2, 3, 4, 0, 4, 1, 2, 3, 3, 1, 3, 0, 4, 3, 4, 2, 2, 4, 1, 1, 3, 1, 2, 3, 3, 1, 4, 4, 3, 2, 3, 0, 2, 0, 0, 2, 0, 3, 2, 1, 4, 1, 3, 1, 2, 1, 3, 3, 0, 1, 3, 0, 2, 3, 4, 2, 1, 4, 0, 2, 0, 3, 3, 0, 0, 3, 4, 2, 3, 2, 2, 3, 0, 4, 4, 3, 1, 0, 2, 2, 2, 3, 0, 0, 2, 3, 4, 1, 1, 3, 2, 2, 2, 1, 2, 3, 4, 0, 4, 4, 3, 3, 1, 1, 0, 3, 4, 0, 0, 0, 2, 4, 4, 4, 0, 2, 4, 3, 4, 4, 1, 2, 0, 1, 4, 4, 3, 0, 4, 2, 4, 0, 3, 3, 1, 0, 4, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 3, 4, 0, 4, 4, 3, 3, 4, 0, 1, 0, 1, 1, 4, 1, 2, 3, 0, 2, 4, 4, 0, 4, 0, 0, 0, 2, 2, 0, 2, 0, 1, 4, 4, 0, 2, 3, 2, 0, 1, 0, 1] pubkeycol1807 = [0, 2, 4, 2, 3, 1, 3, 2, 1, 2, 0, 3, 1, 0, 4, 2, 0, 3, 2, 0, 2, 0, 4, 0, 3, 2, 4, 3, 3, 2, 3, 3, 1, 2, 0, 0, 0, 1, 4, 3, 2, 3, 2, 4, 3, 3, 2, 4, 3, 1, 1, 1, 3, 4, 2, 4, 4, 4, 2, 4, 3, 3, 3, 2, 0, 4, 4, 0, 3, 3, 0, 2, 4, 1, 1, 4, 3, 4, 2, 2, 1, 2, 1, 0, 4, 0, 2, 2, 0, 3, 3, 1, 3, 0, 0, 0, 1, 3, 3, 4, 0, 4, 0, 4, 2, 1, 3, 3, 3, 4, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 4, 1, 0, 2, 4, 3, 2, 2, 1, 0, 0, 4, 4, 3, 2, 2, 0, 3, 3, 4, 0, 4, 2, 3, 0, 0, 1, 1, 4, 2, 2, 2, 3, 0, 0, 0, 0, 2, 4, 4, 1, 4, 3, 1, 2, 2, 1, 4, 1, 0, 3, 4, 2, 3, 4, 1, 3, 0, 2, 1, 0, 4, 0, 2, 3, 1, 3, 0, 3, 0, 4, 0, 2, 3, 4, 0, 0, 2, 0, 0, 1, 1, 4, 1, 1, 4, 3, 1, 1, 4, 3, 2, 3, 1, 1, 2, 2, 0, 1, 3, 0, 2, 0, 4, 3, 4, 4, 1, 0, 2, 1, 1, 4, 2, 4, 4, 0, 4, 3, 0, 4, 0, 3, 2, 0, 1, 0, 3, 2, 3, 1, 4, 0, 4, 0, 1, 4, 4, 0, 3, 4, 1, 4, 3, 0, 1, 4, 0, 4, 4, 1, 4, 1, 3, 1, 4, 2, 4, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 4, 4, 3, 2, 1, 1, 4, 0, 0, 0, 0, 4, 2, 1, 1, 4, 2, 0, 3, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 4, 2, 2, 2, 3, 0, 3, 1, 3, 1, 3, 0, 2, 4, 1, 2, 3, 1, 3, 4, 4, 2, 0, 2, 4, 4, 3, 0, 1, 4, 0, 2, 3, 2, 0, 4, 3, 4, 3, 0, 4, 2, 3, 0, 1, 3, 2, 1, 3, 1, 4, 4, 3, 1, 2, 1, 2, 1, 1, 0, 4, 0, 4, 0, 1, 1, 0, 3, 2, 3, 0, 3, 1, 0] pubkeycol1808 = [2, 4, 2, 4, 1, 1, 3, 0, 4, 1, 0, 4, 2, 4, 4, 4, 4, 3, 2, 4, 0, 3, 3, 2, 1, 4, 1, 4, 4, 2, 1, 3, 1, 0, 0, 3, 0, 0, 3, 2, 2, 3, 2, 4, 2, 1, 2, 3, 0, 4, 1, 2, 3, 1, 3, 1, 1, 3, 1, 1, 0, 1, 4, 3, 2, 4, 3, 0, 3, 4, 4, 4, 0, 0, 2, 0, 2, 0, 2, 3, 2, 2, 1, 3, 2, 3, 4, 0, 0, 1, 1, 4, 2, 0, 1, 0, 2, 3, 2, 1, 2, 3, 2, 0, 4, 1, 4, 1, 4, 4, 4, 0, 1, 0, 1, 1, 0, 2, 1, 4, 3, 1, 2, 0, 2, 3, 4, 3, 2, 2, 0, 2, 3, 0, 0, 4, 4, 3, 0, 3, 1, 1, 2, 0, 2, 1, 0, 3, 4, 2, 3, 4, 1, 2, 1, 0, 0, 1, 4, 3, 1, 2, 0, 1, 2, 0, 0, 0, 4, 1, 1, 1, 2, 4, 1, 4, 2, 2, 1, 4, 3, 2, 0, 4, 3, 1, 0, 0, 0, 3, 2, 2, 0, 4, 4, 0, 4, 1, 2, 3, 1, 3, 0, 0, 0, 1, 1, 4, 1, 1, 4, 1, 0, 0, 3, 2, 1, 2, 2, 4, 1, 3, 3, 4, 1, 4, 4, 3, 4, 0, 4, 2, 3, 0, 4, 1, 0, 1, 3, 1, 0, 1, 2, 1, 2, 4, 0, 3, 2, 3, 3, 2, 3, 4, 1, 3, 4, 2, 0, 3, 3, 2, 1, 3, 1, 4, 2, 3, 3, 2, 0, 0, 2, 2, 2, 0, 3, 4, 2, 1, 3, 4, 2, 1, 4, 0, 2, 3, 2, 4, 3, 3, 0, 4, 1, 4, 4, 4, 3, 1, 4, 1, 4, 2, 1, 3, 3, 2, 1, 1, 0, 0, 3, 2, 4, 3, 4, 2, 4, 0, 2, 4, 0, 4, 4, 2, 0, 0, 0, 0, 4, 4, 0, 3, 4, 2, 4, 0, 4, 1, 3, 2, 0, 4, 0, 1, 2, 2, 2, 0, 3, 3, 2, 0, 3, 3, 1, 2, 1, 0, 0, 3, 2, 4, 4, 0, 3, 4, 0, 4, 0, 2, 3, 4, 1, 3, 3, 4, 2, 2, 3, 3, 0, 2, 0, 1, 0, 1, 4, 1, 3, 3, 1, 3, 1, 1, 3, 4, 3, 3] pubkeycol1809 = [1, 3, 4, 1, 4, 0, 4, 0, 1, 0, 0, 1, 3, 3, 2, 3, 3, 3, 3, 0, 2, 2, 0, 4, 4, 3, 2, 4, 1, 1, 4, 0, 2, 2, 0, 2, 4, 3, 0, 2, 1, 3, 0, 0, 0, 1, 2, 1, 0, 3, 2, 1, 4, 1, 4, 1, 4, 3, 3, 3, 0, 4, 0, 1, 0, 4, 2, 0, 0, 0, 2, 4, 2, 2, 2, 2, 3, 4, 3, 1, 3, 3, 2, 4, 0, 4, 0, 0, 2, 3, 4, 2, 0, 2, 0, 4, 4, 3, 2, 0, 2, 1, 4, 1, 3, 3, 2, 4, 0, 3, 1, 1, 3, 0, 1, 4, 0, 3, 4, 4, 4, 1, 4, 1, 2, 0, 2, 0, 1, 3, 4, 0, 2, 3, 2, 1, 2, 3, 0, 4, 4, 2, 1, 3, 0, 0, 1, 4, 1, 2, 1, 0, 2, 4, 2, 1, 1, 1, 1, 2, 0, 2, 2, 4, 1, 0, 3, 3, 1, 4, 3, 1, 1, 3, 0, 1, 2, 1, 2, 2, 3, 0, 0, 3, 2, 1, 3, 0, 0, 0, 0, 3, 3, 4, 4, 2, 1, 3, 0, 1, 3, 3, 1, 0, 3, 1, 4, 2, 4, 1, 3, 0, 4, 0, 3, 0, 3, 1, 3, 1, 0, 0, 1, 4, 1, 2, 2, 1, 1, 4, 2, 1, 0, 2, 2, 0, 4, 4, 4, 0, 1, 2, 3, 2, 1, 4, 3, 4, 0, 1, 3, 0, 3, 0, 2, 2, 2, 2, 2, 3, 4, 1, 3, 4, 4, 1, 4, 2, 4, 1, 0, 2, 0, 4, 2, 4, 3, 4, 2, 0, 3, 3, 4, 1, 4, 3, 4, 4, 2, 4, 4, 2, 3, 3, 4, 1, 1, 3, 1, 2, 4, 4, 3, 1, 0, 1, 1, 2, 1, 0, 4, 4, 0, 3, 4, 0, 0, 3, 4, 0, 2, 0, 4, 4, 4, 4, 2, 4, 0, 4, 4, 0, 0, 4, 4, 1, 4, 0, 4, 4, 1, 2, 2, 1, 1, 3, 2, 3, 0, 3, 1, 0, 3, 0, 4, 4, 1, 3, 0, 2, 4, 3, 1, 3, 1, 1, 0, 4, 0, 2, 3, 3, 2, 1, 4, 4, 4, 3, 4, 0, 4, 2, 0, 3, 2, 1, 0, 0, 1, 1, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2] pubkeycol1810 = [2, 1, 2, 3, 3, 3, 3, 3, 2, 4, 3, 2, 1, 0, 3, 4, 0, 3, 4, 4, 1, 0, 3, 1, 2, 2, 1, 4, 0, 4, 3, 3, 4, 0, 2, 1, 1, 1, 2, 4, 4, 1, 3, 3, 3, 4, 0, 0, 2, 1, 4, 3, 4, 2, 4, 0, 0, 4, 3, 2, 4, 4, 0, 2, 3, 2, 3, 1, 1, 2, 4, 4, 1, 2, 2, 3, 2, 3, 1, 3, 3, 2, 2, 2, 0, 4, 3, 3, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 3, 2, 3, 4, 2, 1, 1, 3, 3, 4, 1, 3, 3, 2, 3, 3, 1, 3, 0, 3, 3, 4, 3, 4, 4, 0, 0, 2, 4, 1, 4, 2, 1, 3, 0, 3, 0, 0, 3, 2, 0, 1, 2, 3, 3, 2, 2, 3, 4, 4, 2, 4, 3, 4, 4, 1, 0, 1, 3, 3, 3, 1, 4, 1, 1, 2, 3, 3, 2, 2, 4, 2, 3, 1, 2, 3, 1, 3, 2, 0, 2, 4, 1, 4, 0, 0, 2, 3, 0, 3, 0, 1, 0, 2, 1, 4, 0, 4, 0, 1, 4, 0, 2, 3, 0, 4, 3, 0, 0, 1, 3, 0, 3, 2, 1, 4, 1, 3, 3, 3, 0, 4, 3, 4, 2, 4, 2, 0, 4, 1, 2, 4, 0, 0, 4, 2, 2, 4, 2, 0, 4, 1, 4, 4, 2, 3, 0, 2, 1, 0, 4, 2, 0, 4, 4, 0, 2, 0, 1, 3, 2, 0, 0, 0, 2, 4, 1, 3, 0, 1, 4, 1, 2, 2, 4, 0, 4, 3, 1, 3, 2, 2, 4, 3, 1, 2, 3, 3, 4, 2, 1, 0, 2, 2, 1, 4, 0, 1, 4, 2, 1, 0, 1, 0, 4, 1, 2, 1, 2, 4, 2, 2, 2, 1, 1, 2, 4, 1, 4, 3, 4, 0, 0, 2, 1, 3, 1, 1, 3, 4, 4, 1, 1, 4, 4, 2, 4, 2, 0, 3, 4, 0, 3, 0, 4, 0, 0, 3, 2, 0, 2, 4, 3, 3, 2, 1, 0, 0, 2, 4, 3, 2, 2, 3, 4, 0, 1, 0, 0, 4, 2, 4, 3, 4, 1, 1, 0, 4, 2, 3, 0, 3, 1, 1, 1, 3, 0, 0, 1, 4, 4, 0, 2, 3, 0, 3, 2, 2, 3, 3]